=-= 50 Points =-= Must give the correct answer

Solve by equating exponents and using the Equality of Bases Property.


Solve (2)^x/2 = 16 for x

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²

Answer:  

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

Answer:

Undefined

Step-by-step explanation:

A vertical line doesn't have a slope since it doesn't run horizontally.

Answer:

0

Step-by-step explanation:

a straight line doesn't have a slope

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

Answer:

All polygons have straight lines

Step-by-step explanation:

Answer:

C/4

Step-by-step explanation:

The amount divided by the amount of people will show how much each person owes

Reminder :

( x + a )^2 + ( y + b )^2 = ( R )^2

Center : O = ( - a , - b )

R = radius

_____________________________

( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2

Center : O = ( - 8 , 4 )

radius = 9

Diameter = 2 × radius = 18

Answer:

From greatest to least, the order is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

Step-by-step explanation:

Given

[tex]Closest\ Benchmark \to Number[/tex]

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

Required

Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least

From the given parameters, we have:

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

This implies that:

[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark

Convert [tex]3\frac{4}{9}[/tex] to decimal

[tex]3\frac{4}{9} = 3.44[/tex]

By comparison;

[tex]3.8 >\ 3\frac{4}{9}[/tex]

Hence, the list is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

Answer:

[tex]A_w=238x-2176[/tex]

Step-by-step explanation:

From the question we are told that:

Length of pool [tex]L=34ft[/tex]

Width of Pool [tex]W=x[/tex].

Brick walkway Width [tex]W_b=4[/tex]

Generally the expression for a Area of pool is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=34*x[/tex]

 [tex]A=34x[/tex]

Generally the expression for a Area of pool + Walkway is mathematically given by

 [tex]A'=L'*B'[/tex]

where

 [tex]L' =L+2(W_b)[/tex]

 [tex]L' =34+2(4)[/tex]

 [tex]L'=34+8[/tex]

 [tex]L'=272[/tex]

And

 [tex]W'=W+2(W_b)[/tex]

 [tex]W' =x+2(4)[/tex]

 [tex]W' =x+8[/tex]

Therefore

 [tex]A'=L'*B'[/tex]

 [tex]A'=(272)*(x+8)[/tex]

 [tex]A'=272x+2176[/tex]

Generally the expression for a Area of Walkway is mathematically given by

 [tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]

 [tex]A_w=A'-A[/tex]

 [tex]A_w=272x+2176-34x[/tex]

 [tex]A_w=238x-2176[/tex]

Answer:

x=8

Step-by-step explanation:

19x-13+6x-7=180

x=8

We have a || b (a parallel to b), the interior angle property. Therefore, the value of x would be 8.

The sum of all the interior angles of parallel lines is equal to 180 degrees.

We have a || b (a parallel to b), the interior angle property

19x - 13 + 6x - 7 = 180

25x - 20 = 180

25x=  200

x = 8

Therefore, the value of x would be 8.

Learn more about the interior and exterior angles here:

https://brainly.com/question/14173422

#SPJ2

Answer:

15 cm

Step-by-step explanation:

.....................

Answer:

Step-by-step explanation:

I'm not too sure about this question but I think the whole width part is just bait/irrelevant

Answer:

Step-by-step explanation:

https://www.numerade.com/questions/write-the-equation-for-the-graph-that-is-shown-check-your-book-to-see-graph-3/

Answer:

60,000    3,000  900     90     8

Step-by-step explanation:

Answer:

60,000+3,000+900+90+8

Step-by-step explanation:

I used go ogle

Answer:

I think its 967.22 (2dp) I'm sorry if it's wrong

Step-by-step explanation:

use formula 2*pi *r

Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

[tex]P = P_0 * e^{r*t}[/tex]

Substituting the given values we get

[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

Answer:

Rs. 67800

Step-by-step explanation:

Price of photograph = 60000 = 100%

Tax = x dollars = 13% of 60000

100% + 13% = 113% = 1.13

Multiply

1.13(60000) = 67800

To check, lets find 13% of 60000 and add to 60000

13% = 0.13

0.13(60000) = 7800

60000 + 7800 = 67800

Units = Rs

Rs. 67800

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

x + y = 100

x - y = 10

_____________ +

( x + y ) + ( x - y ) = 100 + 10

2x + y - y = 110

2x = 110

x = 110/2

x = 55

_________________________________

x - y = 10

55 - y = 10

- y = 10 - 55

- y = - 45

y = 45

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

x = 55 ..**&**.. y = 45

Answer:

the option A is a correct ans .

Answer:

$5.60

Step-by-step explanation:

1.68/3 = .56

10 x .56 = 5.6

Answer:

$5.60

Step-by-step explanation:

1.68 / 3 = 0.56

This is the cost of one eraser.

Now, to find the cost of ten, all we have to do is:

0.56 x 10 = $5.60

Hope i could help :)

Answer:

Total amount earned = $84

Step-by-step explanation:

The correct expression is

Total amount earned = 80 + 4% of (t - 400)

= 80 + 0.04(t - 400)

where,

t = her sales total in dollars

Total amount of money that she will make for sales of $500

Total amount earned = 80 + 0.04(t - 400)

= 80 + 0.04(500 - 400)

= 80 + 0.04(100)

= 80 + 4

= 84

Total amount earned = $84

Answer:

Step-by-step explanation:

This is the correct answer

Answer:

C and D

Step-by-step explanation:

If you find the percentage of 95% of 6 it will give you an answer of 5.7

.95 x.006 equals 0.0057

95x6 equals 570

0.95 x 6 equals 5.7

95/100 x 6 equals 5.7

X=13,1

I hope this helped :)

Answer:

Answer is 1 minute

Step-by-step explanation:

The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

===============================================================

Explanation:

Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.

Let x be the cost of equipment, lighting, and costumes combined.

The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.

The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.

Let's solve for x

1814.40 - x = 500

-x = 500-1814.40

-x = -1314.40

x = 1314.40

So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.

Answer:

120 committees can be formed if 3 males are to be included

Step-by-step explanation:

Total members in the committee = 5

Out of 10 people, 6 are males and 4 are females

In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4

Total number of outcomes = 4C2 * 6C3

Total number of outcomes = 6 * 20 = 120