MATHEMATICS HIGH SCHOOL

Select the correct difference. -3z 7 - (-5z 7) 2z7 8z14 -2z7 2z

Answers

Answer 1

Answer:

Answer:

$2z^(7))$ .

Step-by-step explanation:

Given : $-3 z^(7) - ( -5 z^(7))$

To find : Select the correct difference.

Solution : we have given

$-3 z^(7) - ( -5 z^(7))$ .

Open the parenthesis

$-3 z^(7) + 5 z^(7))$ .

By the rule ( + - = -) .

$2z^(7))$ .

Therefore, $2z^(7))$ .

Answer 2

Answer: -3z^7 - (-5z^7) = -3z^7 + 5z^7 = 2z^7

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6,15, 24,..Find the 50th term.

Determine the constant of proportionality for the graph.

PLEASE HELP ME!!!!

Answers

Answer:

$(1)/(5)$

Step-by-step explanation:

On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation $(rise)/(run)$ . In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.

$(2)/(10) = (1)/(5)$ simplified.

Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket, how much did he have left out of $100 bill?

Answers

Answer:

$49

Step-by-step explanation:

We have been given that Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket.

First of all, we will find amount of bill after 15% discount by finding 85% of $50 as:

$\text{Bill after 15 percent discount}=\$50* (85)/(100)$

$\text{Bill after 15 percent discount}=\$50* 0.85$

$\text{Bill after 15 percent discount}=\$42.5$

Amount paid in tip would be 20% of $42.5, so total amount paid after 20% tip would be 42.5 plus 20% of $42.5.

$\text{Total amount of bill after tip}=\$42.5+\$42.5* (20)/(100)$

$\text{Total amount of bill after tip}=\$42.5+\$8.5$

$\text{Total amount of bill after tip}=\$51$

Now, we will subtract $51 from $100 to find amount of change that is $\$100-\$51=\$49$

Therefore, Eric will get $49 in change.

Answer:

Step-by-step explanation:

50*0.85 (15% off) = 42.5, 42.5*1.20 (20% tip) = 51, 100-51 = 49

Refer to the figure and find the volume V generated by rotating the given region about the specified line.R3 about AB

Answers

Answer:

Hence, volume is: $(34\pi)/(45)$ cubic units.

Step-by-step explanation:

We will first express our our equation of the curve and the line bounded by the region in terms of the variable y.

i.e. the curve is re $x=(1)/(16)y^4$

and the line is given as: $x=(1)/(2)y$

Since after rotating the given region $R_(3)$ about the line AB.

we see that for the following graph

the axis is located at x=1.

and the outer radius(R) is: $(1)/(16)y^4$

and the inner radius(r) is: $(1)/(2)y$

Now, the area of the graph= area of the disc.

Area of graph= $\pi(R^2-r^2)$

Now the volume is given as:

$Volume=\int\limits^2_0 {Area} \, dy$

On calculating we get:

Volume= $(34\pi)/(45)$ cubic units.

The volume V generated by rotating the given region about the specified line R3 about AB is $\boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.$

Further explanation:

Given:

The coordinates of point A is $\left( {1,0} \right).$

The coordinates of point B is $\left( {1,2} \right).$

The coordinate of point C is $\left( {0,2} \right).$

The value of y is $y = 2\sqrt[4]{x}.$

Explanation:

The equation of the curve is $y = 2\sqrt[4]{x}.$

Solve the above equation to obtain the value of x in terms of y.

$\begin{aligned}{\left( y \right)^4}&={\left( {2\sqrt[4]{x}} \right)^4} \n{y^4}&=16x\n\frac{1}{{16}}{y^4}&= x\n\end{aligned}$

The equation of the line is $x = (1)/(2)y.$

After rotating the region ${R_3}$ is about the line AB.

From the graph the inner radius is ${{r_2} = (1)/(2)y$ and the outer radius is ${{r_1}=\frac{1}{{16}}{y^4}.$

${\text{Area of graph}}=\pi\left( {{r_1}^2 - {r_2}^2} \right)$

$Area = \pi\left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left({(1)/(2)y} \right)}^2}}\right)$

The volume can be obtained as follows,

$\begin{aligned}{\text{Volume}}&=\int\limits_0^2 {Area{\text{ }}dy}\n&=\int\limits_0^2{\pi \left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left( {(1)/(2)y} \right)}^2}} \right){\text{ }}dy}\n&= \pi \int\limits_0^2 {\left( {\frac{1}{{256}}{y^8} - (1)/(4){y^2}} \right){\text{ }}dy}\n\end{aligned}$

Further solve the above equation.

$\begin{aligned}{\text{Volume}}&=\pi \left[ {\int\limits_0^2 {\frac{1}{{256}}{y^8}dy - } \int\limits_0^2{(1)/(4){y^2}{\text{ }}dy} } \right]\n&= \frac{{34\pi }}{{45}}\n\end{aligned}$

The volume V generated by rotating the given region about the specified line R3 about AB is $\boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Volume of the curves

Keywords: area, volume of the region, rotating, generated, specified line, R3, AB, rotating region.

Write an equation in standard form of the line that isgraphed. Then find the x- and y-intercepts.

The equation of the line in standard form is
1.) 4x - 5y = -1
2.) 4x - 5y = 9
3.) 5x - 4y = 9
4.) 5x - 4y = -1

The x-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4

The y-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4

Answers

The equation of the line in standard form is 4x - 5y = 9
The x-intercept is 9/4
The y-intercept is -9/5.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points (1, -1) and (-4, -5)

so, slope of line

= -5 + 1 / (-4 -1)

= -4 /(-5)

= 4/5

So, the equation of line is

y+ 1= 4/5 ( x- 1)

y + 1 = 4/5x -4/5

y= 4/5x - 4/5 - 1

y= 4/5x - 9/5

4x - 5y = 9

So, the x- intercept is 9/4 and y- intercept is -9/5.

Learn more about slope here:

brainly.com/question/3605446

#SPJ2

Answer: equation= 4x-5y= 9

x intercept= 9/4

y intercept= -9/5

Step-by-step explanation: It was right on E2020

58 is 16% of what number

Answers

16% -------- 58

100% ........ x

Cross multiply

100*58 = 16x

5800 = 16x

x= 5800/16

x = 363

I hope that's help !

You shoot an arrow set a target. The parabolic path of the arrow passes through the points shown in table.X. Y
30. 6
60. 7
100. 4
A. Find a quadratic function in standard form that models the path of the arrow. Then graph the function. Use quadratic regression for this step. The three points satisfy a quadratic function of form y= ax^2 +box +c

Answers

900a+30b+c=6....(1)

3600a+60b+c=7...(2)

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(3)-(1)

9100a+70b=-2...(5)

solving (4) and (5) then putting a, b into (1)

a=-13/8400, b=29/168, c=31/14

The graph is like a parabola with upward dome, it's head at upside and two legs downwards.

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