it's 400
hope this helps
What is the image of (-1, -2) after a reflection over the y-axis?
Answer:
(1, -2)
Step-by-step explanation:
Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)
Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)
Answer:
The distributive property here is to just multiply each value by tree number outside the parenthesis.
3 ( 4x - 2t)
12x - 6t
That would be your answer.
Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.
The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.
To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.
Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.
According to the equation of continuity, A1 * V1 = A2 * V2.
Substituting the given values, we have:
64π * V1 = 4π * V2
Simplifying, we get:
16V1 = V2
So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:
1600 * 16 = 2400
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Find the missing length of the figure. help yall please give me the steps on doing it I'm confused
How do you find the maximum number?
To find the maximum number in a list of numbers, we go through the whole list of numbers and compare each values.
We know that the maximum number is nothing but a number having the largest value in the data set.
To find the maximum number in a list of numbers, we go through the whole list of numbers and compare each values.
The maximum number in the list is the largest value found when all values have been compared.
For example, in the list of numbers 23, 98, 76, 90, 17, 71
the maximum number is 98
Therefore, the maximum number in the list is the largest value found when all values have been compared.
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Use the box method to distribute and
simplify (-5x - 2) (5x + 4). Drag and
drop the terms to the correct locations of
the table.
( − 5x − 2)(5x+4)
You must answer all questions above
in order to submit.
Create a table with the place values for the first and second factors down the left and the top and bottom, respectively.
What is the box method?
Multiplication using the box method: Create a table with the place values of the first and second factors down the left and the top and bottom, respectively. Second step: multiply the place values and add the results to the table. Step 3: Add up all of the table's rows. Step 4: Add the sums of these rows.
Placing the first word in the first box and the last term in the last box is the first step in utilizing the box technique to factor a trinomial. Multiply the first and last boxes after that. Identify the first and last boxes' products, which together make up the middle word. Put these words in the remaining spaces.
Here's how you can use the box method to distribute and simplify the expression:
( -5x - 2 ) ( 5x + 4 )
⇒-5x -2
⇒5x 4
⇒-25x^2 -10x + 20x - 8
⇒-25x^2 + 10x - 8
So the simplified expression is:
-25x^2 + 10x - 8.
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Three forms of quadratic functions: standard, vertex, and intercept forms. Provide examples and explain when it is best to use each one.
The standard, vertex, and intercept forms of quadratic functions are f(x) = ax²+bx+c, f(x) = a(x-h)² +k, and f(x) = (x-a)(x-b).
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
(1)The standard form of a quadratic function is f(x) = ax² + bx +c.
It is useful to determine the end behavior of the graph of the function.
If the sign of the leading coefficient is positive, then the graph opens upward rising in both directions, and if the leading coefficient is negative, then the graph opens downward decreasing in both directions.
(2)
The vertex form of a quadratic function is f(x) = a(x-h)² +k.
The vertex form is useful to determine the coordinates of the vertex of the parabola, which are (h, k).
(3)
The intercept form of the parabola is f(x)= (x-a)(x-b) where a and b are the zeros of the function.
So, it is useful to find the x-intercepts or zeros of the function.
Hence, the standard, vertex, and intercept forms of quadratic functions are f(x) = ax²+bx+c, f(x) = a(x-h)² +k, and f(x) = (x-a)(x-b).
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need help with this one its "Find the slope of the line y = 7x + 9/16" please help
Answer:
slope = 7
Step-by-step explanation:
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope, and b is the y-intercept)
Therefore, for the equation: y = 7x + 9/16
Slope = 7y-intercept = 9/16pleaseee I needed the answerrr now
a. increase 300 by 12%
b. decrease 460 by 25%
Answer:
Hello again!
Increase 300 by 12% would be 336.00!
Decrease 460 by 25% would be 345!
Step-by-step explanation:
Did the math just earlier, go go! Hope this helps!
Answer: Increase 300 by 12% would be 336.00!
Decrease 460 by 25% would be 345!
Step-by-step explanation:
John and Mary had Php 384 altogether. After John gave Php 36 to Mary, Mary had 3 times as much money as John. How much money did Mary had at first?
John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Let's start by setting up the equations to solve for this problem.
Let x be the amount of money John had initially.
Then, Mary had (384 - x) initially.
After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).
We are told that Mary had three times as much money as John after this transaction, so we can write:
3(x - 36) = 420 - x
Simplifying this equation gives:
3x - 108 = 420 - x
4x = 528
x = 132
Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Answer: Mary had Php 252 at first.
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Worth 15 points!!! And Brainiest!!! An Ohio park has a triangle sandbox.
Max wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. Show all work below to gain full credit with this problem.
a) proportion and calculations for finding x (5 points)
b) proportion and calculations for finding y (5 points)
c) perimeter of Todd's sandbox (5 points)
Do all 3. Show all work!!
Step-by-step explanation:
To figure out how much smaller Max's sandbox is, we will divide 25 by 10, 25/10 = 2.5. Max's sandbox is 2.5 times smaller than the one in the park.
To find x we will divide 15 by 2.5 to keep the proportions the same, 15/2.5 = 6, so x = 6 feet.
To find y, we will do the same but with 12.5, 12.5/2.5 = 5, so y = 5 feet.
To find the perimeter, we will add all the sides together, 10 + 6 + 5 = 21, so the perimeter of Max's sandbox is 21 feet.
Hope this helps!
....................................
A. 3n + 5
Jose will only age by one every year. So we add one every year and since there are five years, the answer will be his age (3n) plus 5.
If Andrew works for 7 hours how much does he earns in dollars
If Andrew's unit rate of pay per hour is $7.50 and he works for 7 hours in a day, his total earnings are $52.50.
How are the total earnings determined?The total earnings can be determined using multiplication, which is one of the four basic mathematical operations.
In this situation, the unit rate (slope of the earnings function) of pay is multiplied by the number of hours to obtain the total earnings.
The number of hours Andrew works per day = 7 hours
The hourly rate of pay (unit rate) = $7.50
The total earnings = $52.50 (7 x $7.50)
Thus, for working for 7 hours, Andrew will earn $52.50.
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Question Completion:The hourly rate of pay is $7.50
Explain how you can prove your observations in question 2 using a traditional proof. You don't need to develop the steps of the proof; simply describe an approach that you might use. Which theorems might appear in your proof? (Hint: Use the two diagonals of the parallelogram to assist you in describing an approach.)
The two diagonals divide the parallelogram into four triangles. If I can prove that the two triangles opposite one another are congregant.
What is diagonal?The lines which connect the two opposite corners of any quadrilateral is called diagonal.
The two diagonals divide the parallelogram into four triangles. If I can prove that the two triangles opposite one another are congregant. then the corresponding sides of those two triangles must be congregant.
These corresponding sides will help show that the lengths of the line segments on either side of the point of intersection are equal, proving bisection.
To prove triangle congruency, I can use the properties of the angles formed when parallel lines are cut by a transversal and that opposite sides of the parallelogram are congregant.
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The function f(x) = -3x - 4 was replaced with f(x + k) resulting in the function g(x) = -3x - 13. What is the value of k? A. -9 B. -3 C. 3 D. 9
then we need to solve the second equation for k
\(3k=-4+13=9\)then the answer is C.
\(k=3\)Suppose the graph of y=x^2 is shifted left 6 units. Complete the modified equation: y=
Please help me
The modified equation is expressed as g(x) = x^2 - 6
Translation of coordinateTranslation is the process of changing the position on an x-plane.
Given the function of a graph expressed as y=x^2
If the function is shifted 6 units to the left, hence the resulting function is given as;
g(x) = x^2 - 6
Hence the modified equation is expressed as g(x) = x^2 - 6
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QUESTION 4/10 HELP ASAPP
Answer:
Left bottom graph is the correct one.
Answer: The bottom left graph
Step-by-step explanation: The top two are decreasing, so you can rule those answers out. The bottom right one is increasing by more than 4, so that wouldn’t be the answer either. That leaves you with one option which fits the description of the graph.
10 is at least the product of a number h and 5
Answer:
h =2
Step-by-step explanation:
10=h ×5
10=h5
DBS by 5
10÷5=h5÷5
h=2
I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
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also h*t and s**y ..
Answer:
plz mark me as a brainelist
hope it helps you
How many lines of symmetry does a regular five-pointed star have?
If we have a regular five-pointed start as follows:
If we draw a line from each of the vertices of the regular five-pointed star, we can say that we have 5 lines of symmetry, in this case, that is, each of the lines divides the figure into two identical parts.
Therefore, in summary, we can say that we 5 lines of symmetry in a regular five-pointed star.
Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850. At the end of October, he earned $3,641 based on $9,875 in sales. What was Theo’s base salary?
Theo's base salary using a simultaneous equation approach is $2,996.22 .
In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary
Bear in mind that total earnings are determined as base salary plus commission
Let X be the base salary
Let R be the rate of commission
commission =sales*rate of commission
When earnings were $3,835.25 and sales is $12,850, we have the below equation:
X+(12,850*R)=3,835.25
X+12850R=3,835.25 .................... equation (1)
When earnings were $3,641 and sales is $9,875, we have the below equation:
X+(9,875*R)=3641
X+9875R=3641 ......................... equation (2)
subtract equation 2 from 1
2975R=194.25
R=194.25/2975
R=commission rate=6.52941176470588%
substitute for R in equation 1 to arrive at X(base salary)
X+(12850*6.52941176470588%)=3,835.25
X=3,835.25-(12850*6.52941176470588%)
X=base salary=$2,996.22
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Assume that a histogram of the sample is bell-shaped. Approximately what percentage of the sample values are between 70 and 82? Approximately of the sample values fall between 70 and 82. Correct answer: Assume that a histogram for the sample is bell-shaped. Between what two values will approximately 95% of the sample be? Approximately 95% of the sample values will fall between and
Assuming that the histogram for the sample is bell-shaped, approximately 68% of the sample values are within one standard deviation of the mean, 95% of the sample values are within two standard deviations of the mean, and 99.7% of the sample values are within three standard deviations of the mean.
Therefore, to estimate the percentage of sample values between 70 and 82, we need to find the number of standard deviations away from the mean that corresponds to these values.
First, we need to find the mean and standard deviation of the sample. Without this information, we cannot make any estimates.Once we have the mean and standard deviation, we can use the formula:
z = (x - μ) / σ
where z is the number of standard deviations away from the mean,
x is the sample value,
μ is the mean,
and is the standard deviation.
Once we have calculated the z-score for 70 and 82, we can look up the corresponding percentage of the distribution using a standard normal distribution table.The percentage of sample values between 70 and 82 will be the difference between these two percentages.
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Find the LCM of 14 and 12
Answer:
It's 84
Step-by-step explanation:
Answer:
the answer is 84
Step-by-step explanation:
trust me i am a god when it comes to math
In circle D with m/CDE = 96 and CD = 4 units, find the length of arc
CE. Round to the nearest hundredth.
Answer:
\(\text{ CE} \thickapprox 6.70 \ \text{units}\)
Step-by-step explanation:
The circumference of a circle is given by the formula ...
\(\text{C} = 2\pi r\)
Your circle has a radius CD of 4 units, so its circumference is ...
\(\text{C} = 2\pi (4 \ \text{units}) = 8\pi \ \text{units}\)
__
The arc of interest is 96°. The whole circle is 360°, so the length of the arc is 96/360 times the circumference of the circle:
\(\text{CE} = (\dfrac{96}{360} )(8\pi \ \text{units}) \bold{\ \thickapprox 6.70 \ units}\)
What is an objective summary?
a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a shorter version of a text that helps readers decide whether they want to read the text
a shorter version of a text that helps readers decide whether they want to read the text
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
Answer:
A shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
Step-by-step explanation:
Summaries are used to quickly explains what the text is about. They include key details that express important facts, not opinions.
The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 flat fee for shipping. If the school orders 15 T-shirts, how much will the total cost be?
Answer:
$95
Step-by-step explanation:
Step one: Multiply the number of shirts and cost of the shirt. Which is $45.
Step two: Add the shipping fee ($50) to $45
Step three: After adding those you should get $95 as your answer.
*Sorry if I'm incorrect*
Find the sampled time domain from the following functions (a) \( F(z)=1+3 z^{-1}+4 z^{-2} \)
In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n
In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n
In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n we need to perform the inverse Z-transform. The inverse Z-transform converts a function in the Z-domain back into the time domain.
The general form of the inverse Z-transform is given by:
f(n)= \(\frac{1}{2\pi j}\) ∮ \(_{C}\) \(F(z)z^{n-1} dz\)
where
F(z) is the function in the Z-domain, f(n) is the corresponding time-domain sequence, j is the imaginary unit, and ∮\(_{c}\)
represents integration around a closed path in the Z-plane.
In this case, the function F(z) is a rational function, and we can find its inverse Z -transform using partial fraction decomposition. Let's find the inverse Z-transform step by step:
Step 1: Express F(z) in partial fraction form.
\(F(z)=\frac{1}{z^2} + \frac{3}{z} +4\)
Step 2: Find the roots of the denominator The roots of \(z^{2} =0\) and
z=0 (a double pole at the origin).
Step 3: Perform partial fraction decomposition.
We can write \(F(z)=\frac{A}{z} +\frac{B}{z^2} \)
Multiplying through by \(z^{2}\) to clear the fractions we get,\(1+3z^{-1} +4z^{-2} = A+Bz^{-1}\) Comparing coefficients, we get:
A=1
B=4
Step4: Apply the inverse Z transform for each term
Inverse Z transform for A/z is \(a^{n}\), where a is the root of corresponding term in the denominator. In this case a=0, so the inverse Z transform of A/z=1
The inverse Z transform of \(\frac{B}{z^2}\) is n.\(a^{n}\), where a is the root of the corresponding term in denominator. In this case a=0. So the inverse Z transform of \(\frac{B}{z^2}\) is n.\(a^{n}\)=0
therefore the time domain of function f(z) is
f(n)=1+0=1
So the sampled time domain representation of the function F(z)=\(1+3z^{-1} +4z^{-2}\) is f(n)=1 for all the values of n
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Directions : Factor each of the following Differences of two squares and write your answer together with solution
Step-by-step explanation:
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\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Factor each of the following differences of two squares and write your answer together with solution.
\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)
1. x² - 36\( \sf \: x ^ { 2 } - 36\)
Rewrite \(\sf\:x^{2}-36 as x^{2}-6^{2}\). The difference of squares can be factored using the rule:\(\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}\)
__________________
2. 49 - x²\( \sf \: 49 - x ^ { 2 }\)
Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \sf \: \left(7-x\right)\left(7+x\right) \)
Reorder the terms.
\( \boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}\)
__________________
3. 81 - c²\( \sf \: 81 - c ^ { 2 }\)
Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \sf\left(9-c\right)\left(9+c\right) \)
Reorder the terms.
\( \boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}\)
__________________
4. m²n² - 1\( \sf \: m ^ { 2 } n ^ { 2 } - 1\)
Rewrite m²n² - 1 as \(\sf\left(mn\right)^{2}-1^{2}\). The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}\)
Given the force field F, find the work required to move an object on the given orientated curve. F=⟨y,x⟩ on the parabola y=8x ^2
from (0,0) to (2,32) The amount of work required is
The work required to move the object along the given parabolic curve from (0, 0) to (2, 32) in the force field F = ⟨y, x⟩ is 64 units of work.
To find the work required to move an object along a given oriented curve using the force field F, we can evaluate the line integral of the dot product between the force field and the tangent vector along the curve. The line integral is given by:
∫ F · dr
Where F is the force field and dr is the differential displacement vector along the curve.
In this case, the force field is given by F = ⟨y, x⟩, and the curve is the parabola y = 8x^2 from (0, 0) to (2, 32).
First, let's parameterize the curve. We can choose x as the parameter, so the position vector r(x) for the curve is:
r(x) = ⟨x, 8x^2⟩
The differential displacement vector dr is given by:
dr = ⟨dx, dy⟩
To find dx and dy in terms of x, we differentiate the components of r(x) with respect to x:
dx = 1
dy = 16x dx
Now, let's substitute the components of F and dr into the line integral:
∫ F · dr = ∫ ⟨y, x⟩ · ⟨dx, dy⟩
= ∫ ⟨8x^2, x⟩ · ⟨1, 16x dx⟩
= ∫ (8x^2 + 16x^2 dx)
= ∫ (24x^2 dx)
Integrating with respect to x:
∫ (24x^2 dx) = 8x^3 + C
Next, we evaluate the integral from x = 0 to x = 2:
∫ (24x^2 dx) [0,2] = (8(2)^3) - (8(0)^3)
= 64 - 0
= 64
Therefore, the work required to move the object along the given parabolic curve from (0, 0) to (2, 32) in the force field F = ⟨y, x⟩ is 64 units of work.
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A building has 23 floors of offices above
ground and 5 floors below ground,
Nathan parks on the 2nd floor below
ground and has an office on the 18th
floor. The ground floor is floor zero,
Which absolute value expression
represents how many floors he must go
up to get from his car to his office?
a. -51 +1 231
b.|-2| + |18|
c. |-5| + |18|
d.|-2| + 231
Answer:
The correct answer would be letter B.
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb