Begin by studying the pattern.
Notice that the difference between 0.8 and 1 is 0.2.
In other words, 0.8 + 0.2 is 1.
In the same way, 1 + 0.2 is 1.2.
1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.
So we can see that the difference
between each of the terms is 0.2.
Answer:
+.2
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
1 - .8 = .2
Check by subtracting the second term from the third term
1.2 - 1 = .2
The common difference is .2
please help me I'd appreciate it so much!! (no links)
Which of the following pairs of triangles can be proven similar through SAS similarity? Question options: A) image B) image C) image D) image
Answer:
C
Step-by-step explanation:
There are two corresponding angles shown and one included angle meaning the angle is in-between the two sides, allowing this to be characterized by SAS similarity.
Correct answer gets 5 stars and brainliest
Answer:
a=3
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+4^2 = 5^2
a^2 +16 = 25
a^2 =25-16
a^2 = 9
Taking the square root of each side
sqrt(a^2) = sqrt(9)
a =3
9,583,507 to the nearest ten thousand
Answer:
9,580,000
Step-by-step explanation:
The ten thousand place is the 8
look and the thousands place which is 3
This is less than 5 so we leave the ten thousands place alone
9,583,507 becomes
9,580,000
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{9,583,507}[/tex]
[tex]\huge\textsf{= 9,600,000} \leftarrow \huge\textsf{nearest \underline{\underline{HUNDRED}} thousand}[/tex]
[tex]\huge\textsf{= 9,580,000} \leftarrow\huge\textsf{nearest \underline{\underline{TEN}} thousand}[/tex]
[tex]\large\textsf{83 is rounded to 80 because it is closer to 80 than 90. 3 is closer to}\\\large\textsf{0 than 10}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 9,580,000}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Drag each label to the correct location on the figure. Not all labels will be used.
Find the missing angle measurements.
51°
54
47
75°
98°
82
?
105
28
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
How to solve this question please
Answer:
answered by g a u t h m a t h
Step-by-step explanation:
A history professor decides to give a 12-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade? Group of answer choices
Answer:
we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10
Step-by-step explanation:
From the given information;
Sample size n = 12
the probability of passing a student who guesses on every question is less than 0.10
In a alternative - response question (true/false) question, the probability of answering a question correctly = 1/2 = 0.5
Let X be the random variable that is represent number of correct answers out of 12.
The X [tex]\sim[/tex] BInomial (12, 0.5)
The probability mass function :
[tex]P(X = k) = \dfrac{n!}{k!(n-k)!} \times p^k\times (1-p)^{n-k}[/tex]
[tex]P(X = 12) = \dfrac{12!}{12!(12-12)!} \times 0.5^{12}\times (1-0.5)^{12-12}[/tex]
P(X = 12) = 2.44 × 10⁻⁴
[tex]P(X = 11) = \dfrac{12!}{11!(12-11)!} \times 0.5^{11}\times (1-0.5)^{12-11}[/tex]
P(X =11 ) = 0.00293
[tex]P(X = 10) = \dfrac{12!}{10!(12-10)!} \times 0.5^{10}\times (1-0.5)^{12-10}[/tex]
P(X = 10) = 0.01611
[tex]P(X = 9) = \dfrac{12!}{9!(12-9)!} \times 0.5^{19}\times (1-0.5)^{12-9}[/tex]
P(X = 9) = 0.0537
[tex]P(X = 8) = \dfrac{12!}{8!(12-8)!} \times 0.5^{8}\times (1-0.5)^{12-8}[/tex]
P(X = 8) = 0.12085
[tex]P(X = 7) = \dfrac{12!}{7!(12-7)!} \times 0.5^{7}\times (1-0.5)^{12-7}[/tex]
P(X = 7) = 0.19335
.........
We can see that,a t P(X = 9) , the probability is 0.0537 which less than 0.10 but starting from P(X = 8) downwards the probability is more than 0.01
As such, we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10
A borrows a certain amount of money from B at simple interest of 15% for two years and lends it to C at the compound interest of 15% for the same period. If A makes a profit of Rs. 90, then the amount he borrowed from B is?
a. Rs. 900
b. Rs. 3000
C. Rs. 4000
d. Rs. 6000
Answer:
the amount he borrowed from b is 540
help me pleasssseeeeeee
Answer:
[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]
Step-by-step explanation:
[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]
Answer:
[tex]i^{46} = -i[/tex]
~~~~~~~~~~~~~~~~~~~
46/4 = 11 remainder 2 = [tex]-i[/tex]
47/4 = 11 remainder 3 = 1
48/4 = 11 remainder 0 = [tex]i[/tex]
49/4 = 11 remainder 1 = -1
Step-by-step explanation:
[tex]i = \sqrt{-1} = i[/tex] (remainder 0)
[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)
[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)
[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)
[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)
The pattern repeats every FOUR in the exponent
Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
What errors did the coach make? Check all that apply.
He used an incorrect time ratio converting hours to minutes.
His units do not cancel.
He used an incorrect distance ratio converting miles to feet.
He incorrectly concluded that she is not running fast enough.
He cannot determine her average rate in miles per hour after only 15 minutes.
Answer:
A) He used an incorrect time ratio converting hours to minutes.
D) He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Got it right on Edge ✿♥‿♥✿
Answer:
Step-by-step explanation:
a.He used an incorrect time ratio converting hours to minutes.
d.He incorrectly concluded that she is not running fast enough.
Plz answer this is important
Answer:
78.5714
Step-by-step explanation:
given,
radius=5cm
now,
area of circle (A)=
[tex] = \frac{22}{7} \times {5}^{2} \\ \\ \\ = \frac{22}{7} \times 25 \\ \\ = 78.5714 {cm}^{2} [/tex]
please please answer this question now
با )
Answer:
43/90
Step-by-step explanation:
We want to express 0.47777... as a ratio of two integers. To do so, we need to multiply by 10^n, where n is the number of repeating decimals. Only 7 is repeating so we multiply 0.47777... by 10. The trick to do this is to let x=0.47777... In other words, what we are doing is the following:
[tex]x=0.47777...\\10x=4.7777....\\\text{Subtract x}\\10x-x=4.7777...-x\\9x=4.7777...-0.4777...\\9x=4.3\\x=4.3/9=43/90=0.4\overline{7}[/tex]
A graph has Quantity Demanded on the x-axis, from 0 to 60 in increments of 10, and Price on the y-axis, from 0 to 20 dollars in increments of 2 dollars and 50 cents. 2 lines with identical negatives slopes are shown. Line D is slightly lower than line D 1. This graph shows the quantity of t-shirts demanded at D and D1. The change in quantity demanded caused by a change in the price of t‐shirts is shown as a shift to the right of the demand curve. a shift to the left of the demand curve. movement along the demand curve.
Answer:
Movement along the demand curve
Step-by-step explanation:
edge 2021.
The change in price as shown in the graph is shown as movement along the demand curve.
What is demand and supply?The terms demand and supply are common themes in economics. They show the relationship between the amount that a seller wants to sell and the amount that a buyer wants to buy. A number of factors affect the demand curve.
The change in price as shown in the graph is shown as movement along the demand curve.
Learn more about demand and supply: https://brainly.com/question/13353440
a standard number cube has six labeled sides labeled 1-6. think about rolling a number cube one time. why is it just as likely that the cube will show and even number as an odd number
Answer:
This is because there are equal counts of both even and odd numbers
Step-by-step explanation:
Here in this question, we are concerned with stating the reason why it is likely that a standard number cube have the same probability for showing an even number as well as an odd number.
In the number cube, the odd numbers are 1,3 and 5. While the even numbers are 2,4 and 6.
From here, we can see that there are three set of each number types. What this automatically means is that the probability of selecting an even number will be equal to the probability of selecting an odd number. Thus, we can say that it is just as likely that the cube will show an even number as an odd number because each of the type of numbers have 3 values each.
mzCTS= 105°, mZUTC = 2x + 24, and m/ UTS = x + 129. Find m/ UTS.
Answer:
< UTS = 129
Step-by-step explanation:
< UTS= <CTS+ < UTC
x + 129 = 105+ 2x + 24
Combine like terms
x+129=2x+129
Subtract x from each side
129 +x-x = 2x-x+129
129 = x+129
Subtract 129 from each side
129-129 = x+129-129
0 =x
< UTS = x + 129 = 0+129 =129
Need help pls will give you five stars
Answer:
[tex]\boxed{A. (1,1)}[/tex]
Step-by-step explanation:
Well since in,
[tex]f(x) = -3x^2 + 6x - 2[/tex]
the 3x^2is negative that means the parabola has a maximum not a minimum meaning we can take out choices,
B and D.
To find the maximum let’s graph the given equation,
Look at the image below.
By looking at the image we can tell that the maximum is at (1,1).
So the answer is choice A (1,1)
What is the equation of the graph below?
S
2.
1
-
3
Oy = -(x - 3)2 + 1
Oy = -(x + 1)2 + 4
Oy = (x + 1)2 - 4
Oy = (x - 4)2 + 1
Answer:
[tex]y=-(x-3)^2+1[/tex]
Step-by-step explanation:
Hi there!
Vertex form: [tex]y=a(x-h)^2+k[/tex] where [tex]a[/tex] is a scale factor and [tex](h,k)[/tex] is the vertex of the parabola
On the graph, we can determine that the vertex of this parabola is (3,1). Plug this into [tex]y=a(x-h)^2+k[/tex]:
[tex]y=a(x-3)^2+1[/tex]
The value of a must either be -1 or 1 because the graph has not been stretched or compressed vertically. How can we tell? Well, starting from the vertex, if we increase x by 1, y only changes by 1. If we decrease x by 1 starting from the vertex, y only changes by 1. This wouldn't be the case if the graph had been stretched or compressed.
Now, because this is a downward-facing parabola, we know that the value of a is negative. Because a can only be -1 or 1, a is therefore -1. Plug this into [tex]y=a(x-3)^2+1[/tex]:
[tex]y=-(x-3)^2+1[/tex]
I hope this helps!
Write the expression 12-2 in simplest form.
Answer:
convert into a whole number 6
What are the dimensions of the matrix?
Answer:
4 x 3
Step-by-step explanation:
The order of a matrix is given by stating the number of rows followed by the number of columns.
The matrix here has 4 rows and 3 columns thus order is
4 x 3
Double a number decreased by 25.6 is equal to 90 Find the number
Answer:
Step-by-step explanation:
2x-25,6=90
2x=90+25,6
2x=115,6
x=57,8
Answer:
The number is 57.8
Step-by-step explanation:
Let x = number
2x -25.6 = 90
Add 25.6 to each side
2x-25.6 +25.6 = 90+25.6
2x=115.6
Divide by 2
2x/2 =115.6/2
x =57.8
4x=24 solve equation
Answer:
x=6
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-(24)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 24 = 4 • (x - 6)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true
2.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
One solution was found :
x = 6
Answer:
x= 24/ 4
Step-by-step explanation:
You can simplify it
x= 6/1 which is x= 6
a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?
18 people is 25% less people so will take 25% longer
25% of 15 is 3.75
3.75+ 15 = 18.75 days ?
What two times could this be on the 24-hour clock?
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
oints out of
.00
Flag
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave
your answers as radicals in simplest form.
question
60°
х
y
93
BULLY
Answer:
x = 18
y = 9
y = 9√3/√3 = 9
x = 9×2 = 18
Use the distributive property to find an expression equivalent to 24 + 64.
8(3 + 8)
6(4 + 8)
24 + (8)(8)
(2)(12) + (8)(8)
Please hurry
Answer:
8(3+8)
Step-by-step explanation:
The distributive property of multiplication states that
A(B+C) = A* B + A* C
Here, we can say that
8(3+8) = 8*3 + 8* 8 = 24 + 64. This seems correc,t but we can check the other options to make sure
6(4 + 8) = 6 * 4 + 6*8 = 24 + 48. This is incorrect
24 + (8)(8) . The 24 and 8 are not in the same parenthesis, so we cannot multiply them. Using PEMDAS, we multiply first, so 24+(8)(8) = 24 + 8*8 = 24 + 64. If there are multiple solutions, this can work. If not, this does not use the distributive property as we are not adding anything in the parenthesis.
Similarly, for (2)(12) + (8)(8), we are not adding anything in the parenthesis, but we can use PEMDAS to get 2*12 + 8*8 = 24 + 64, so this would also work but does not use the distributive property.
Please help I don’t understand math
Answer:
x = 12
Step-by-step explanation:
The sum of the two smaller angles is 140
80+5x = 140
Subtract 80 from each side
80+5x-80 =140-80
5x = 60
Divide each side by 5
5x/5 = 60/5
x = 12
Solve for x: 3/5=x-1/8
Answer:
x = [tex]\frac{29}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{5}[/tex] = [tex]\frac{x-1}{8}[/tex] ( cross- multiply )
5(x - 1) = 24 ← distribute parenthesis on left side
5x - 5 = 24 ( add 5 to both sides )
5x = 29 ( divide both sides by 5 )
x = [tex]\frac{29}{5}[/tex]
Find the area of the sector in
terms of pi.
90°
24
Area = [?]
TT
Answer:
288*pi
Step-by-step explanation:
Area=2*pi*(24)^2*(90/360)=288*pi
Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
Answer:
y = 3
Step-by-step explanation:
*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.
5y + 10 = 28 - y
*Add y to both sides.
6y + 10 = 28
*Subtract 10 from both sides.
6y = 18
*Divide both sides by 6.
y = 3
In triangle EFG, with angle bisector FH and equal lengths for EF and GF, the value of y is 3.
Use the concept of a triangle defined as:
A triangle is a 3-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Given that,
Angle EFG has an angle bisector FH.
EF = GF (the lengths of the corresponding sides of triangle EFG are equal).
EH = 5y + 10 (length of segment EH).
HG = 28 - y (length of segment HG).
To find the value of y,
Start by applying the angle bisector theorem in triangle EFG.
According to the theorem,
The ratio of the lengths of the segments formed by the angle bisector to the corresponding sides should be equal.
Since EF = GF,
Set up the following equation:
EH / HG = EF / FG
Substituting the given values, we have:
[tex]\dfrac{(5y + 10)}{ (28 - y)} = \dfrac{1} { 1}[/tex]
Cross-multiplying, we get:
5y + 10 = 28 - y
Combining like terms, we have:
6y = 18
Dividing both sides by 6, we find:
y = 3
Therefore, the value of y is 3.
To learn more about the triangle visit;
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find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree
Answer:
[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]
Step-by-step explanation:
The measure of exterior angle is equal to the sum of opposite interior angles.
So,
Exterior angle = 43+27
Exterior angle = 70°