Answers
The rational function that matches with the graph of the picture is f(x) = (2 · x + 7.2)/(x + 3).
What is the rational function behind the graph seen in the picture?
Herein we have the graph of a rational function of the form f(x) = p(x)/q(x) . The domain of these kind of functions is all real numbers except those values of x such that q(x) = 0. Graphically speaking, there is a vertical asymptote when a discontinuity exists and an horizontal asymptote for x → ± ∞.
In accordance with the picture, there are one horizontal asymptote and one vertical asymptote. As the horizontal asymptote of the function is distinct of 0, then the grade of p(x) is the same grade of q(x). Therefore, we have a rational function of the form:
f(x) = (2 · x + k)/(x + 3) (1)
If we know that x = 0 and y = 2.4, then the value of k is:
2.4 = (2 · 0 + k)/(0 + 3)
2.4 = k/3
k = 7.2
Therefore, the rational function that matches with the graph of the picture is f(x) = (2 · x + 7.2)/(x + 3).
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Related Questions
Someone help me out on these 2 geometry questions, ASAP!!!
“Complete the proofs”
Answers
Question 11
1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)
2) [tex]\angle A \cong \angle A[/tex] (reflexive property)
3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)
4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)
Question 12
1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)
2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)
3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)
4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)
5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)
6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)
7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)
Note: I changed the names of the segments in Question 11 because of the word filter.
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.
Answers
The area of the plate covered by the napkin is (C) [tex]56cm^{2}[/tex].
What is an area of a triangle?
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. As a result, in order to calculate the area of a triangular polygon, we must first determine its base (b) and height (h).To find the area of the plate covered by the napkin:
Given :
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate.The napkin has a perimeter of 38 centimeters.The following steps can be used in order to determine the area of the plate covered by the napkin:
Step 1 - The formula of the perimeter of a triangle is given below:
P = a + b + c --- (1)
where a, b, and c are the length of the sides of the triangle.
Step 2 - According to the given data, the triangle is isosceles.
Therefore, the two sides are similar and the length of the base is 8 cm.
Step 3 - Now, substitute the values of the known terms in the above formula.
38 = 2L + 8
38 - 8 = 2L
L = 15 cm
Step 4 - The area of the plate covered by the napkin is given below:
[tex]A=\frac{1}{2} * 15 * 15 *Sin30[/tex]
Step 5 - Simplify the above expression.
[tex]A=56.25cm^{2}[/tex]
Rounding off to the nearest whole number, which is [tex]56cm^{2}[/tex].
Therefore, the area of the plate covered by the napkin is (C) [tex]56cm^{2}[/tex].
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The question you are looking for is here:
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters. To the nearest square centimeter, how many square centimeters of the plate is covered by the napkin?
(A) 16 square centimeters
(B) 30 square centimeters
(C) 56 square centimeters
(D) 60 square centimeters
PlllZZZZZZZZ HELPPPPP
Answers
Answer:
x = 1.4
Step-by-step explanation:
Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.
Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.
1^2 + 1^2 = x^2
2 = x^2
x = 1.41421356237
Step-by-step explanation:
imagine that this shape is the combination of 2 shapes :
1. a rectangle 4×1
it goes from the top down the side of 4 until the tilted line x begins.
2. a right-angled triangle
x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.
so, x can be solved by using Pythagoras
c² = a² + b²
c being the Hypotenuse, a and b are the legs.
x² = 1² + 1² = 2
x = sqrt(2) = 1.414213562... ≈ 1.4
Which equation is the inverse of Y equals 9X Square -4
Answers
[tex]y = 9x {}^{2} - 4 \\ flip \: x \: and \: y \\ x =9 (y ) {}^{2} - 4 \\ solve \: for \: the \: inverse \: of \: y \\ x + 4 = 9(y ) {}^{2} \\ y {} {}^{2} = \frac{x + 4}{9} \\ you \: can \: split \: it \: into \: two[/tex]
[tex]y {}^{(1)} = \sqrt{ \frac{x + 4}{9} } \\ y {}^{(2)} = - \sqrt{ \frac{x + 4}{9} } [/tex]
PLEASE HELP IM STUCK
Answers
Answer:
-70
Step-by-step explanation:
We are given this arithmetic sequence:
-2, -6, -10, -14, ...
And we want to find the 18th term in it.
The 18th term can be found using this formula:
1st term + common difference(desired term-1)
The desired term is the term that we are looking for. In this case, it would be the 18th term, so substitute 'desired term' with 18.
1st term + common difference(18-1)
So, let's find the first term and the common difference.
The 1st term is the first term (number) that appears in the sequence. In this case, that number would be -2.
The common difference can be found by doing second term minus first term.
Remember that we know that the first term is -2. The second term is the second number that appears in the sequence, which would be -6.
So, do -6 subtract -2.
-6 - - 2
-6 + 2
-4
The common difference is -4.
So, we can plug -2 and -4 into the formula.
-2 - 4(18-1)
Now, doing the order of operations, first, subtract 1 from 18.
-2-4(17)
Now multiply -4 and 17 together.
-2 -68
Subtract -68 from -2.
-70
The 18th term of the sequence is -70.
A summer camp has 32 campers. 22 of them swim, 20 play softball, and 5 do not play softball or swim. which values correctly complete the table? a) a = 15, b = 10, c = 7, d = 5, e = 12 b) a = 15, b = 7, c = 5, d = 10, e = 12 c) a = 14, b = 7, c = 5, d = 12, e = 10 d) a = 14, b = 12, c = 7, d = 5, e = 10
Answers
The values which completes the table regarding summer camp is option b which is a=15,b=7, c=5, d=10, e=12.
Given that there are 32 campers, 22 of them can swim, 20 play softball and 5 do not play softball or swim.
We have to find the values of a,b,c,d,e so that we can complete the table.
Table is a combination of rows and columns. In our case the third row and third column shows the total.
from the table we can write that 22+d=32-----------1
so d=32-22
=10
d=10
c+5=d-----------2
c=10-5=5
c=5
a+c=20------------------3
a+5=20
a=20-5
a=15
a+b=22--------------3
15+b=22
b=7
20+e=32----------4
e=32-22
e=10.
Hence the values which completes the table is a=15,b=7, c=5, d=10, e=12.
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Question is incomplete as it should include figure showing table of values.
A cylinder has a height of 17 feet and a radius of 6 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.
Answers
Answer:
1921.68 [tex]ft^{3}[/tex]
Step-by-step explanation:
V = pi*r*r*h
= 3.14*6*6*17
= 1921.68
In which diagram do angles 1 and 2 form a linear pair?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return
Answers
The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Given that angle 1 and 2 form a linear pair.
We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.
In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.
In first part when two lines intersect they donot form 4 angles.
In second part when 3 lines extend from a point they don't form right angle between the lines.
Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
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PLEASE FIND X
NOTE: Angles not necessarily drawn to scale.
x =x=x, equals
\Large{{}^\circ}
∘
degrees
Answers
Check the picture below.
a set of data has the values 11,14,23 and 16
Answers
The number to add to the set of data is 26
How to determine the new number?The set of data is given as:
11,14,23 and 16
Let the new number be x
So that
Mean = 18
Mean is calculated as:
Mean = Sum/Count
So, we have:
(11 + 14 + 23 + 16 + x)/5 = 18
Multiply by 5
11 + 14 + 23 + 16 + x = 90
Evaluate the like terms
x = 26
Hence, the number to add is 26
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Complete question
A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the five numbers to be 18?
Use the diagram to complete the proof
Answers
The missing statements that completes the proof that proves that quadrilateral ACDB is a parallelogram is explained below.
What are the Properties of a Parallelogram?A quadrilateral that has the following properties is a parallelogram, in reference to the quadrilateral ACDB in the image given:
Opposite sides are congruent (AB ≅ CD and AC ≅ BD).Opposite angels are congruent to each other (∠A ≅ ∠D and ∠C ≅ ∠B).Consecutive angles are supplementary (m∠A + m∠C = 180°).Given that ΔCFD ≅ ΔBGA, the proof that quadrilateral ACDB is a parallelogram is given below:
Since we know that ΔCFD ≅ ΔBGA, therefore, CD ≅ BA because corresponding parts of congruent triangles are: congruent.
Since we also know that m∠DCA + m∠CAB = 180°, then we also know that both angles are: supplementary.
Transversal A.F cut the two lines, CD and BA, then the interior angles on the same side of the transversal are: supplementary, thus, we it implies we know that lines CD and BA would be: parallel.
Since one pair of sides (CD and BA) are both parallel and congruent, then we know that quadrilateral ACDB is a parallelogram.
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x + 6 x + 5
im trying to find the area of the rectangle in a polynomial standard form
Answers
Area of the entire rectangle is x² + 11x + 30. This can be obtained by adding area of each square.
Calculate the polynomial for area of the entire rectangle:Method 1
Area of rectangle = length × width
Area (blue) = length × width = (x) × (x) = x²Area (green) = length × width = (5) × (x) = 5xArea (pink) = length × width = (6) × (x) = 6xArea (orange) = length × width = (6) × (5) = 30Area of entire rectangle = x² + 5x + 6x + 30 = x² + 11x + 30
Method 2
Area of entire rectangle = length × width
= (x+6)×(x+5)
= x² + (6+5)x + (6×5) [∵(x+a)(x+b) =x² + (a+b)x + ab]
= x² + 11x + 30
Hence area of the entire rectangle is x² + 11x + 30.
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MATH HELP!!! 100PTS plus BRAINLIEST!!!!
The formula C=59(F−32), where F≥−459.67 expresses the Celsius temperature C as a function of Fahrenheit temperature F.
1. Find the formula for the inverse function.
Answer: C^−1(F)=
9F/5+32 (I'm right about this one)
2. What is the domain of the inverse function C^−1 ?
Answer (in interval notation):(for some reason it keep telling me wrong :( )
Answers
Answer:
[tex]\textsf{1.} \quad C^{-1}(F)=\dfrac{9}{5}F+32[/tex]
2. [-273.15, ∞)
Step-by-step explanation:
Given:
[tex]C=\dfrac{5}{9}(F-32), \quad \text{where }F \geq -459.67[/tex]
To find the inverse of the given function, make F the subject:
[tex]\begin{aligned}C & =\dfrac{5}{9}(F-32)\\\implies \dfrac{9}{5}C & =F-32\\\implies F & = \dfrac{9}{5}C+32 \end{aligned}[/tex]
[tex]\textsf{Replace the } F \textsf{ with }C^{-1}(F)\textsf{ and the }C \textsf{ with } F:[/tex] :
[tex]\implies C^{-1}(F)=\dfrac{9}{5}F+32[/tex]
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
The given domain of the function C(F) is F ≥ -459.67
Therefore, the minimum value of the function is:
[tex]\implies C(-459.67)=\dffrac{5}{9}(-459.67-32)=-273.15[/tex]
This means the range of the function C(F) is C(F) ≥ -273.15
The domain of the inverse function is the range of the function.
Therefore, the domain of the inverse function in interval notation is: [-273.15, ∞)
Answer: -273.15
Step-by-step explanation:
Which represents the solution set to the inequality 5.1(3 2.2x) > –14.25 – 6(1.7x 4)? x < –2.5 x > 2.5 (–2.5, [infinity]) (–[infinity], 2.5)
Answers
The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) gives x > -2.5
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Inequality shows the non equal comparison of two or more numbers and variables.
Given the inequality:
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)
Simplifying:
15.3 + 11.22x > –14.25 – 10.2x - 24
21.42x > -53.55
x > -2.5
The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) gives x > -2.5
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A group of friends is on a rafting trip. They plan to travel 5 miles downstream and then 5 miles back upstream. They need to finish their rafting trip in 6 hours to allow enough time to get back to their hotel. The group knows that the river is moving at a rate of 2 miles per hour.
Answers
Answer:
I don't understand what the question is what do you need to find?
The equation -2x − y = -4 shows the budget for spending on supplies over the next few weeks. If the total money (y) decreases every week (x), how many weeks will it take for the budget money to run out?
Answers
The number of weeks it will take for the budget money to run out is; 2 weeks.
How many weeks will it take for the money to run out?The number of weeks it would take for the budget money to decrease till it runs out as required in the task can be interpreted as the x-value which corresponds to a Y-value of zero.
Hence, by setting y=0; we have;
-2x -0 = -4
-2x = -4
Divide both sides of the equation by; -2.
x = 2
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Q.2. If the line y=x is reflected over the x - axis and made flatter(less steep) by a factor of ½ then write the equation of the new line
Answers
Using translation concepts, the equation of the new line is:
[tex]y = -\frac{1}{2}x[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
The function is reflected over the x-axis, hence it is multiplied by -1.It is made flatter by a factor of 0.5, that is, it is multiplied by 1/2.Hence the equation of the new line is:
[tex]y = -1 \times \frac{1}{2} \times x = -\frac{1}{2}x[/tex]
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Solve the triangle. Round your answers to the nearest tenth.
Answers
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
How to determine the missing sides and angles
In this question we have a triangle with a known side lengths and two known angle measures. First, we find the missing angle by Euclidean geometry:
C = 180° - 94° - 23°
C = 63°
Lastly, we determine the missing sides by law of sines:
[tex]b = 11 \times \frac{\sin 94^{\circ}}{\sin 23^{\circ}}[/tex]
b ≈ 28.084
[tex]c = 11 \times \frac{\sin 63^{\circ}}{\sin 23^{\circ}}[/tex]
c ≈ 25.084
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
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Find the maximum and minimum values of the curve y=2x³-3x²-12x+10
Answers
[tex] \underline{ \orange{\huge \boxed{ \frak{Answer : }}}}[/tex]
Let ,
[tex] \sf \large \color{purple} y = 2 {x}^{3} - 3 {x}^{2} - 12x + 10 \: --( \: 1 \: )[/tex]
[tex] \: \: \: [/tex]
Now , Diff wrt ' x ' , we get :
[tex] \sf \: \frac{dy}{dx} = \frac{d}{dx} (2 {x}^{3} - 3 {x}^{2} - 12x + 10) \\ \sf \: \sf \: \frac{dy}{dx} = \frac{d}{dx} \: 2(3 {x}^{2} ) - \frac{d}{dx} 3 {x}^{2} - \frac{d}{dx} 12x + \frac{d}{dx} 10 \\ \sf \: \frac{dy}{dx} =2(3 {x}^{2} ) - 3(2x) - 12(1) + 0 \\ \sf \: \frac{dy}{dx} =6 {x}^{2} - 6x - 12 + 0 \\ \: \sf \red{\frac{dy}{dx} = 6 {x}^{2} 6x - 12 -- (2)}[/tex]
[tex] \: \: \: [/tex]
For maxima or minima \frac{dy}{dx} = 0
[tex] \: \: \: [/tex]
[tex] \sf \: 6 {x}^{2} - 6x - 12 = 0[/tex]
[tex] \: \: \: [/tex]
Divided by 6 on both side , we get.
[tex] \: \: \: [/tex]
[tex] \sf \: {x}^{2} - x - 2 = 0 \\ \sf \: {x}^{2} - 2x + x - 2 = 0 \\ \sf \: x(x - 2) + 1(x - 2) = 0 \\ \sf \: (x - 2)(x + 1) = 0 \\ \sf \: x - 2 = 0 \: \: \bold or \: \: x + 1 = 0 \\ \sf \fbox{x = 2 \: } \: \bold or \: \fbox{ x = - 1}[/tex]
[tex] \: \: \: [/tex]
Again Diff wrt ‘ x ’ , we get.
[tex] \sf \: \frac{d}{dx} =(\frac{dy}{dx} ) = 6\frac{d}{dx} - 6\frac{d}{dx}x - \frac{d}{dx}12 \\ \sf \: \frac{ {d}^{2}y }{ {dx}^{2} } = 6(2x) - 6(1) - 0 \\ \sf \: \sf \bold{ \frac{ {d}^{2}y }{ {dx}^{2} } =12x - 6}[/tex]
[tex] \: \: \: [/tex]
At x = 2
[tex] \: \: \: [/tex]
[tex]\sf \: \frac{ {d}^{2}y }{ {dx}^{2} } =12(2) - 6 \\ \: \: \: \sf \: = 24 - 6 \\ \: \: \: \: \sf \red{ = 18 > 0}[/tex]
At x = -1
[tex] \: \: \: [/tex]
[tex]\sf \: \frac{ {d}^{2}y }{ {dx}^{2} } =12( - 1) - 6 \\ \: \: \: \sf \: = - 12 - 6 \\ \: \: \: \: \sf \red{ = - 18 < 0 }[/tex]
[tex] \: \: \: [/tex]
x = 2 gives minima value of function.
[tex] \: \: \: [/tex]
x = -1 gives maxima value of function.
[tex] \: \: \: [/tex]
Now, put x = 2 in eqⁿ ( 1 )
[tex] \: \: \: [/tex]
[tex] \sf \: y \: minima \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2( {2})^{3} - 3 ({2})^{2} - 12(2) + 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: = 2(8) - 3(4) - 24 + 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: = 16 - 12 - 24 + 10 \\\sf \: \: \: \: \: \: \: \: \: \: = - 20 + 10 \\\sf \color{red}{\boxed{ = - 10}}[/tex]
[tex] \: \: \: [/tex]
The Point of minima is ( 2 , -10 ).
[tex] \: \: \: [/tex]
Now , put x = -1 in eqⁿ ( 1 )
[tex]\sf \: y \: maxima \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2( { - 1})^{3} - 3 ({ - 1})^{2} - 12( - 1) + 10 \\\sf \color{red}{\boxed{ = 17}}[/tex]
[tex] \: \: \: [/tex]
The point of maxima value is ( -1 , 17 ).
[tex] \: \: \: [/tex]
[tex] \: \: [/tex]
Hope Helps! :)
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.34 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answers
Using the normal distribution, we have that:
The diameter that separates the top 8% is of 5.38 mm.The diameter that separates the bottom 8% is of 5.30 mm.Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation for this problem are given, respectively, by:
[tex]\mu = 5.34, \sigma = 0.03[/tex]
The 8th percentile separates the bottom 8%, that is, X when Z = -1.405, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 5.34}{0.03}[/tex]
X - 5.34 = -1.405 x 0.03
X = 5.30.
The 92th percentile separates the top 8%, that is, X when Z = 1.405, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 5.34}{0.03}[/tex]
X - 5.34 = 1.405 x 0.03
X = 5.38.
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A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours are needed to get all the water out of the boat when 10 people work together. It takes 8 hours to get all the water out if 5 people work together. How many people are needed to get all the water out in 2 hours
Answers
The Number of people is 12 when time taken is 2 hours.
According to the statement
Time taken when 10 people works is 3 hours
Time taken when 5 people works is 8 hours
Then we have to find the number of peoples when time taken is 2 hours.
So, average time that for which single person works is 180 min/ 10 = 18 min.
It means the average time for single person works is 18 min in case of 10 people.
and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.
So, The Number of people is 12 when time taken is 2 hours.
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please help with this.
Answers
Answer:
R = $2,120
Ticket price = $11
Step-by-step explanation:
Finding revenue when t = 10 :
R = -6(10)² + 132(10) + 1440R = 1400 + 1320 - 600R = 2720 - 600[tex]\fbox {Revenue = 2,120 dollars}[/tex]The vertex of the graph will have the maximum revenue.
Vertex = (h, k)h = -b/2ah = -132/2(-6)h = 132/12h = 11Hence, the revenue is maximum when the ticket price is $11.
Which of the following is a proper way to enter an answer of 1.666 on the SAT SPR answer grid?
A
1/66
B
1.67
C
1.66
D
1.666
Answers
The correct answer is Option B) 1.67 after rounding off.
What is rounding off a decimal number?Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.
Given here, the number with decimal 1.666 , thus rounding off we get the answer a 1.67
Hence, the correct answer is Option B)
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At a certain fast food restaurant, 77.5% of the customers order items from the value menu. If 14 customers are randomly selected, what is the probability that at least 9 customers ordered an item from the value menu
Answers
The probability that at least 9 customers ordered an item from the value menu is 0.927.
What is binomial probability?In an experiment with two possible outcomes, the likelihood of precisely x successes on n repeated trials is known as the binomial probability (generally refereed as binomial experiment).
As per the given problem-
This likelihood is a binomial one, so take note. In this instance, a success is defined as a consumer placing an order from the value menu, hence we are looking for such probability between 9 to 14 success, inclusive.
The probability is indeed the complements of the likelihood of any success, ranging from 0 to 8. The procedures below can be used to figure out the probability from such a binomial distribution utilizing Excel.-
Press FORMULAS first, followed by INSERT FUNCTION.Secondly, choose the BINOM.DIST function.Next, input the figures for the quantity of successes, the quantity of trials, the likelihood of success, and the quantity of successes. Insert 8, 14, then 0.775 in this case, in that order. Because it is a cumulative probability, enter 1 for Cumulative.Click OK. The probability should then be shown in Excel. The probability that results in this case is 0.072766, or 0.073 scaled to three decimals.Subtract the preceding probability from 1 to get the likelihood of 9 to 14 people ordering out from value menu.
The likelihood is 1 x 0.073 = 0.927.
Therefore, the probability that at least 9 customers ordered an item from the value menu is 0.927.
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If there are n ants once a month how many will there be a month la
Answers
Answer: 3n ants
Step-by-step explanation:
If there are n ants one month, and the ants triple every month, then next month there will be 3n ants.
We can multiply 3 by n to show it tripling.
To test this, 3(10,000) = 30,000 and 3(270,000) = 810,000, which corresponds to what you've filled out in the table.
[tex]27a^3+189a^2b+441ab^2+343b^3[/tex]
Answers
27a³ + 189a²b + 441ab² + 343b³ = (3a + 7b)³
How to simplify an expression?27a³ + 189a²b + 441ab² + 343b³
Therefore,
27a³ = (3a)³
189a²b = 3(3a)²(7b)
441ab² = 3(3a)(7b)²
343b³ = (7b)³
(3a)³ + (7b)³ + 3(3a)²(7b) + 3(3a)(7b)²
a³ + b³ + 3a²b + 3ab² = (a + b)³
Therefore,
27a³ + 189a²b + 441ab² + 343b³ = (3a + 7b)³
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Solve kx-2=7 for x. A. x=5/k B. x=9k C. x=9-k D. x=9/k
Answers
Answer:
the answer is D- 9/k
Answer:
D- 9/k
Step-by-step explanation:
The 1997 Red River flood was considered a 200-year flood. Why is it now considered only to be a 65-year flood
Answers
Large floods in 2007 and 2010 changed the flood recurrence curve.
What caused the Red River flood 1997?
A extremely unusual thawing of winter snow and river ice after a winter season that saw far above-normal precipitation across the Northern Plains was the main contributor to the flooding in 1997.
Why is the Red River called the Red River?
After it was explored in 1732–33 by the French voyageur Pierre Gaultier de Varennes et de La Vérendrye, the river, called Red because of the reddish brown silt it carries, served as a transportation link between Lake Winnipeg and the Mississippi River system.
How did the Red River flood affect people?The floodway was designed to manage a flow of 1,700 m3/s, but 1,800 m3/s was instead used. 28,000 people were evacuated due to the 1997 flood, which also caused $500 million in damage. Additionally, parts of Minnesota, North Dakota, and southern Manitoba were inundated by the river.Learn more about red river flood
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The Table Shows a proportional relationship between x and y for each Value of x and y match it to the correct unit rate y/x in its simplest form
Answers
The correct proportions are given as follows:
x = 3, y = 27: 9/1.x = 9, y = 81: 9/1.x = 21, y = 126: 6/1.x = 14, y = 84: 6/1.x = 12, y = 36: 3/1.x = 15, y = 45: 3/1.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions for this problem are given dividing y by x, hence:
x = 3, y = 27: 27/3 = 9, hence 9/1 has to be marked.x = 9, y = 81: 81/9 = 9, hence 9/1 has to be marked.x = 21, y = 126: 126/6 = 6, hence 6/1 has to be marked.x = 14, y = 84: 84/14 = 6, hence 6/1 has to be marked.x = 12, y = 36: 36/12 = 3, hence 3/1 has to be marked.x = 15, y = 45: 45/15 = 3, hence 3/1 has to be marked.More can be learned about proportions at https://brainly.com/question/24372153
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Activity in this activity, you will first find the squares of positive and negative numbers. then you will determine whether the solution to an equation is a perfect square. question 1 part a complete the table by squaring each positive x-value listed.
Answers
The complete table is shown below.
What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. The square root of, the end square root is the symbol for the square root. Finding an integer's square root is the inverse of squaring a number.Complete the table as follows:
[tex]2^{2} = 2*2 = 4\\3^{2} = 3*3 = 9\\4^{2} = 4*4 = 16\\5^{2} = 5*5=25\\6^{2} =6*6=36\\7^{2} =7*7=49\\8^{2} =8*8=64\\9^{2} =9*9=81\\10^{2} =10*10=100\\11^{2} =11*11=121[/tex]
Therefore, the complete table has been shown.
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The question you are looking for is here:
Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11.