The value of 1376 * 13 is 17888
How to solve the expression?The expression is given as:
1376 * 13
Express 1376 as 1300 + 76
(1300 + 76) * 13
Expand
1300 * 13 + 76 * 13
Evaluate the product
16900 + 988
Evaluate the sum
17888
Hence, the value of 1376 * 13 is 17888
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PLEASE HELP AND GIVE A FULL EXPLANATION I WILL GIVE BRAINLEST PLEASE SOMEONE
Answer:
shown in explanation
Step-by-step explanation:
a) ∆EPB similar to ∆ERG
b) angle BEP = angle GER (common angle shared)
angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)
therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG
or explanation can also be shortened to
∆EPB is similar to ∆ERG (AA, similarity)
c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal
[tex] \frac{pb}{rg} = \frac{ep}{er} [/tex]
RG = 200+300=500m
[tex] \frac{200}{500} = \frac{ep}{ep + 350} [/tex]
cross multiply (from what I've learnt)
2ep+700=5ep
ep= 700/3 = 233 ⅓m (answer for length EP)
Do the same for length BE(using ratio of corresponding sides)
[tex] \frac{be}{ge} = \frac{pb}{rg} [/tex]
[tex] \frac{be}{be + 400} = \frac{200}{500} [/tex]
cross multiply again to get:
5BE = 2BE + 800
BE = 800/3 = 266 ⅔ m (answer for length BE)
Question 4 (Essay Worth 10 points)
(07.03, 07.05 HC)
Use the function f(x) = 2x²-5x+3 to answer the questions.
Part A: Completely factor f(x). (2 points).
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points) HELP ASAP
Part A
[tex]f(x)=(x-1)(2x-3)[/tex]
Part B
[tex](x-1)(2x-3)=0\\\\x=1, \frac{3}{2}[/tex]
So, the x-intercepts are [tex](1,0)[/tex] and [tex]\left(\frac{3}{2}, 0 \right)[/tex]
Part C
As [tex]x \to \infty[/tex], [tex]f(x) \to \infty[/tex] because the leading coefficient is positive.
As [tex]x \to -\infty[/tex], [tex]f(x) \to \infty[/tex] because the degree is even and the leading coefficient is positive.
Part D
Plot the x-intercepts on the graph, and then find the value of [tex]f(x)[/tex] at [tex]x=\frac{5}{4}[/tex] (the midpoint of the two roots) to plot the vertex. Then, draw a curve through these three points that approaches infinity as [tex]x \to \pm \infty[/tex]
What is most likely the line of best fit for this scatter plot?
2234H205642
18
16
14
12
10
0123456789 10 12 14
O Line A
Line B
O Line C
O Line D
The most likely the line of best fit for this scatter plot is line C.
What is scatterplot?It should be noted that a scatterplot simply means a graph that shows the relationship between the variables in the data set.
In this case, the most likely the line of best fit for this scatter plot is line C. The dependent variable is illustrated in the x axis and the dependent variable is illustrated on the y axis.
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Please help quick!!!
Reflect over the y axis then translate
The composition of transformation that maps ABCD to EHGF is reflect over the y-axis, then translate (x - 1, y + 1)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, left, right or down in the coordinate plane.
The composition of transformation that maps ABCD to EHGF is reflect over the y-axis, then translate (x - 1, y + 1)
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There are 18 apple candies and 12 cherry candies mixed in a bag. If one candy is chosen from that bad, the odds of picking an apple candy are:
A: 1 out of 18
B: 2 out of 5
C: 3 out of 5
D: 3 out of 8
Write an interval using interval notation to describe the set of values shown above.
Answer:
(-4,3）
Step-by-step explanation:
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].
What are intervals?The intervals are numbers or values between two given point
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
We have,
A number line.
The set of values that is in the blue line is from -4 to 3.
This means that the blue line includes values from -4 to 3.
There are infinite numbers between -4 to 3.
The blue line denoted that the values -4 and 3 are also included.
The interval that denotes the values between -4 and 3 is:
= [-4, 3]
Thus,
The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].
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What number represents the smallest value? .3 or .33
Answer:
.3
Step-by-step explanation:
.33 is .03 greater than .3
The number which represents the smallest value between 0.3 and 0.33 is the number 0.3.
Given are two decimal numbers.
0.3 and 0.33
It is required to find the number which is the smallest between these two.
The number 0.3 can be written as 0.30.
And the other number is 0.33.
In order to find the smallest number, check the digits from left to right.
The first digit after the decimal point of both numbers is 3.
The second digit after the decimal point is 0 for 0.30 and 3 for 0.33.
Here 0 is smaller than 3.
So, 0.30 is smaller than 0.33.
Hence, the smallest value is 0.3.
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In what statistical measurement would you be most interested when considering housing prices in a particular city?
Answer:
Median
Explanation:
Real estate prices are virtually usually biased to the right. If we estimate the price of a typical home in a city at $500,000. We would have no trouble locating properties for $2 million and $3 million, and perhaps even some $5 or $6 million residences. However, you won't find houses for under $1.5 million. Because of this, the mean value is pulled toward the high end more than the median value.
An artist is making a sketch based on a 12 inch by 30 inch poster. She divides the poster into grid squares. What are the greatest size grid squares she can make?
The greatest size grid squares she can make is; 12 inch by 12 inch.
What are the greatest size grid squares she can make?Since, it follows from the task content that the poster at the artist's disposal is 12 inch by 30 inch, it follows that the smaller dimension of the poster is; 12inch.
It is the limiting dimension and hence, the greatest size grid squares she can make is; 12in by 12 inch.
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By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 303 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 90 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 570 mg of cholesterol. How much cholesterol is in each item?
Using a system of equations, the amounts of cholesterol in each item are given as follows:
Egg: 278 mg.Cupcake: 14 mg.Slice of pizza: 11 mg.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables for this problem are given as follows:
Variable x: Amount of cholesterol in an egg.Variable y: Amount of cholesterol in a cupcake.Variable z: Amount of cholesterol in a slice of pizza.By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 303 mg of cholesterol, hence:
x + y + z = 303.
3 cupcakes and 4 slices of pizza, he or she takes in 90 mg of cholesterol, hence:
3y + 4z = 90
y + 1.33z = 30.
By eating 2 eggs and 1 cupcake, a child consumes 570 mg of cholesterol, hence:
2x + y = 570.
Then, writing y and z as functions of x:
y = 570 - 2x.z = (30 - y)/1.33 = (30 - 570 + 2x)/1.33 = 1.5x - 406.Then, replacing on the first equation:
x + y + z = 303.
x + 570 - 2x + 1.5x - 406 = 303.
0.5x + 164 = 303.
x = (303 - 164)/0.5
x = 278.
The amounts for the cupcake and the slice of pizza are given as follows:
y = 570 - 2(278) = 14 mg.z = 1.5x - 406 = 1.5(278) - 406 = 11 mg.More can be learned about a system of equations at https://brainly.com/question/24342899
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Find the measure of side b.
b = _ yd
The graph below represents which of the following functions?
-12
-10
OA.
OB.
O C.
D.
4
F(x) =
[[|-*|× <1}
(x+4×21}
F(x) =
F(x) =
F(x) =
{/4-x²|x<2}
x2 2f
X
14-x²|x> 21
x x≤ 2}
2}
XS
{|-*² |× > 3)
(x+4× ≤3)
10
12
C
Answer: B
Step-by-step explanation:
The parabola has an open hole at x=2, and the line has a closed hole at x=2.
This means the top part of the function should have domain [tex]x < 2[/tex], and the second part of the function should have domain [tex]x \geq 2[/tex].
This eliminates everything except for B.
Find the slope and y-intercept of the line whose equation is y=6x=5
Answer:
the slope is 5 and the y intercept is 5
Step-by-step explanation:
I think that you meant to write y = 6x + 5.
y = mx + b
The number in in the m spot is the slope and the number in the b spot is the y intercept.
I need help with the slope
Answer:
Line A
Step-by-step explanation:
Hello!
Given that the x-values is the time in minutes, and the y-axis is the number of dishes stacked, for every minute, the line should go up by 7.
This means, that the value of y when x is 1 should be 7. The line that follows this rule is Line A. For every minute, 7 dishes are stacked.
The answer is Line A.
None of the pots in the kitchen have a lid.
For each statement below, determine whether it is a negation
All pots in the kitchen have a lid.
Not every pot in the kitchen has a lid.
At least one pot in the kitchen has a lid.
Some pots in the kitchen have a lid.
Yes
No
O
O
The first three statements are not a negation. Only the last statement is a negation.
What is negation?The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "P" is the statement's negation. The words negation is used to denote a statement's denial.
It's vital to know the opposite of a given mathematical statement from time to time in mathematics. This practice is known as "negating" a statement. Remember that if a statement is true, then its negation must be false (and if a statement is false, then its negation is true).
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Instructions: Given the vertex, fill in the vertex form of the quadratic function..
Vertex: (2,-6)
Answer:
[tex]\implies y=(x-2)^2-6[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
(h, k) is the vertexa is some constantGiven vertex: (2, -6)
⇒ h = 2 and k = -6
Substitute the values of h and k into the formula:
[tex]\implies y=a(x-2)^2+(-6)[/tex]
[tex]\implies y=a(x-2)^2-6[/tex]
As we have not been given a value for the constant [tex]a[/tex], assume this is 1.
Therefore, the vertex form of the quadratic function with vertex (2, -6) is:
[tex]y=(x-2)^2-6[/tex]
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Vertex form
y=a(x-h)²+ka=1
Put values
y=(x-2)²-6Jenny's lunch account has $10 in it. She buys lunch three days in a row and spends $2.50, $2, and $2.75. On the fourth day, she
deposits $10 before buying lunch for $3. What is Jenny's balance after buying lunch on the fourth day?
$9.75
Given the information, we know that for the first 3 days, she spends a total of $7.25. On the fourth day, she deposits $10 before buying lunch for $3.
This means she had $20, but spent $10.25. $20-$10.25=$9.75 is the amount she has in her account.
In a one tail hypothesis where you reject H0 only in the upper tail, what is the pvalue if Zstat = +2.10
The outcome P-Value is 0.0179 when Zstat = +2.10
According to the statement
we have given the value of Z-Stat which is +2.10
And we have to find the P value when H0 is rejected only in the upper tail
Z-stat is defined as the Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And
we know that the relationship between Z-Stat and the p value is the P-Value is calculated by converting your statistic (such as mean / average) into a Z-Score.
So, the outcome p value is 0.0179
So, The outcome P-Value is 0.0179 when Zstat = +2.10
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Complete the table. Each column should contain equivalent values. One column has been completed for you. Make sure the fractions are stated in simplest form.
Fraction Decimal Percent
0.39 39%
0.82
22%
0.8
The complete table will be:
Fraction Decimal Percent
39/100 0.39 39%
82/100 0.82 82%
22/100 0.22 22%
3/4 0.75 75%
80/100 0.8 80%
Percentage
The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the following example:
[tex]\frac{25}{100} =0.25*100=25%[/tex]
The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks etc.
Line 1Fraction Decimal Percent
39/100 0.39 0.39*100=39%
Line 2Fraction Decimal Percent
82/100 0.82 0.82*100=82%
Line 3
Fraction Decimal Percent
22/100 0.22 22%
Line 4
Fraction Decimal Percent
3/4 0.75 0.75*100=75%
Line 5
Fraction Decimal Percent
80/100 0.8 0.80*100=80%
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a group of mapuve CLC MLMS4 STUDENTS were questioned how they got to school.half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.calculate the number of students delivered by a car using proper fractions
The fraction of those who were delivered by car will be 1/6.
How to calculate the fraction?It should be noted that from the information given, the students were questioned on how they got to schoo and half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.
Therefore, the fraction of those who were delivered by car will be:
= 1 - (1/2 + 1/3)
= 1/2 - 5/6
= 1/6
In conclusion, the fraction of those who were delivered by car will be 1/6.
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What kind of transformation is illustrated in this figure?
The transformation illustrated in the figure is translation.
What is Translation?Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.
Analysis:
Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.
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WHAT IS 5+6+6+^6 DIVDED BY 7
The value of the given expression is 11.57
Division of numberDivision are written as a ratio of two values. Given the expression below
5+6+6+2^6 ÷ 7
Simplify to have:
(11+6+64)÷ 7
Simplify the expression in parenthesis
81÷ 7
11.57
Hence the value of the given expression is 11.57
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Translate to a proportion and solve.
148.5 is 59 1/5% of what?
The actual value is 250.
Applying simple percentage formula here,
let x be the whole value
x=148.5/ 59 2/5%
x= 148.5/0.594
x=250.
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The actual value is 250.
Applying percentage formula here,
let x be the value:
x=148.5/ 59 2/5%
x= 148.5/0.594
x=250
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Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y > 2x + 4
x + y ≤ 6
The solution to the system of inequalities is (0.667, 5.333)
How to graph the inequalities?The system of inequalities is given as:
y > 2x + 4
x + y ≤ 6
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(0.667, 5.333)
Hence, the solution to the system of inequalities is (0.667, 5.333)
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Which of the following similarity statements about the triangles in the figure is true?
Right triangle P Q R has angle Q marked as a right angle. A segment is drawn from point Q to side P R. The point where the segment intersects side PR is point S. Angle P S Q is marked as a right angle.
A. Triangle P Q R is similar to triangle P S Q, which is similar to triangle Q S R.
B. Triangle R Q P is similar to triangle S Q P, which is similar to triangle R S Q.
C. Triangle Q R P is similar to triangle Q S P, which is similar to triangle Q S R.
D. Triangle P R Q is similar to triangle Q P S, which is similar to triangle R Q S.
Answer:
Answer B is correct
The diagram is supposed to be used for both question 7 and 8. WORTH 30 POINTS.
7. D. Arc JK = 124°
8. Applying the angle of intersecting chords theorem, m∠1 = 115°.
What is the Angle of Intersecting Chords Theorem?The angle of intersecting chords theorem states that the angle (∠1) formed by two chords in a circle, equals half of the sum of the intercepted arcs (arcs ML and JK).
Arc JMK = 2(118) = 236° [inscribed angle theorem]
Arc JK = 360 - arc JMK = 360 - 236
Arc JK = 124°
Arc ML = 236 - 70 - 60 = 106°.
m∠1 = 1/2(arc JK + arc ML)
m∠1 = 1/2(124 + 106)
m∠1 = 115°.
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Integral of
11-3x/
x²+2x-3
dx
Answer:
2x+2
Step-by-step explanation:
x²+2x-3
=2(x^2-1)+2*1(2x^1-1)
35 Please help with this question.
The critical values are 0.622, 0.707, 0.789 and 0.834
How to determine the critical values?The sample size is given as:
n = 8
Calculate the degrees of freedom using
df = n - 2
So, we have:
df = 8 - 2
df = 6
Using the table of values of critical values, we have:
Critical values = 0.622, 0.707, 0.789 and 0.834
By comparing the critical values and the linear correlation coefficient, we can conclude that there is no significant linear correlation.
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f r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?
The equivalent expression to [tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}[/tex]
What are the equivalent expressions?Equivalent expressions are similar expressions that may have different forms but when a value is replaced with the variables in the same form provides the same answer.
From the information given, If:
r(x) = 3x - 1s(x) = 2x + 1Then the fractional form can be an expression as:
[tex]\mathbf{(\dfrac{r}{s})(x)= \dfrac{3x-1}{2x+1}}[/tex]
where;
x = 6[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{3(6)-1}{2(6)+1}}[/tex]
[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{18-1}{12+1}}[/tex]
[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}[/tex]
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What is the solution to the equation below? (Round your answer to two
decimal places.)
5 Inx= 3.5
A. x = 4.17
B. x = 3.98
C. x = 42.40
D. x=201
Answer: 2.01
Step-by-step explanation:
[tex]5\ln x=3.5\\\\x=\frac{3.5}{5}\\\\x=e^{3.5/5}\\\\x \approx 2.01[/tex]