Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1

Answer:

slope=1/2

Step-by-step explanation:

Put the points on a graph. The points from (1,8) to (3,9) go up 1 and right 2. Go rise over run or the change in y over the change in x and you use these numbers to find the slope, which is 1/2.

Answer:

Step-by-step explanation:

2y^4 x 5y^3 = 10y^7

3gh^2 x 4g^3h^3 = 12g^4h^5

Answer:

[tex]10y^7[/tex]

[tex]12g^4h^5[/tex]

Step-by-step explanation:

When you multiply exponents together, it is a rule that you add them together. So,

[tex]2y^4(5y^3) = 10y^{(4 + 3)} = 10y^7[/tex]

[tex]3gh^2(4g^3h^3) = 12g^{(3 + 1)}h^{(2+3)} = 12g^4h^5[/tex]

Answer:

[tex]y=5.25x[/tex]

Step-by-step explanation:

[tex]y \propto x[/tex]

[tex]y=kx[/tex]

[tex]84=k \times 16[/tex]

[tex]\frac{84}{16} =k[/tex]

[tex]21/4=5.25=k[/tex]

[tex]y=5.25x[/tex]

An equation represents the given situation is y=5.25x.

Mathematical relationship between two variables which can be expressed by an equation in which one variable is equal to a constant times the other.

Given that, y varies directly with x, and y is 84 when x is 16.

Since, y∝x

⇒ y=kx

Substitute y=84 and x=16 in y=kx, we get

84=k×16

⇒ k=84/16

⇒ k=5.25

Substitute k=5.25 in y=kx, we get

y=5.25x

Therefore, an equation represents the given situation is y=5.25x.

Learn more about the direct variation here:

https://brainly.com/question/13977805.

#SPJ3

Answer:

1

Step-by-step explanation:

p⁰=1 because it is basically saying [tex]\frac{p^{5} }{p^{5} }[/tex] and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰. This helps us because we also know that when we have a fraction that is the same on the top and the bottom: [tex]\frac{5}{5}[/tex] for example, it can simplify down to one. This means that p⁰=1.

Answer:

Last choice (about hats).

Step-by-step explanation:

The inequality means:

Start with $60

Spend $15 per item on x number of items.

End up with at least $7.

Read all choices. The last one is the answer.

Answer:

D

Step-by-step explanation:

Answer:

All vertical lines have an equation in the form x=... The number indicates the x -intercept. The line x=0 is the equation for the y-axis.

Since x=5 is a vertical line, there is no y-intercept and the slope is undefined.

Answer:

-4

Step-by-step explanation:

Hello,

let say that [tex]x_1[/tex] and [tex]x_2[/tex] are two zeros of second order polynomial

it can be then be written

[tex](x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2[/tex]

So when we check this expression

[tex]x^2+4x+7[/tex]

we can say that the sum of zeros is -4

and the the product of zeros is 7

to note that in this example there are no real root of this equation

[tex]x^2+4x+7=0[/tex]

here, the zeros are complex numbers not real ones

if I have to solve it in [tex]\mathbb{R}[/tex] I would say that there are no zeros so their sum is not defined

if I have to solve it in [tex]\mathbb{C}[/tex] I would say that there are two complex roots and their sum is -4

hope this helps

Answer:

- sign between 9 and 64 under root, it should be + sign

Step-by-step explanation:

(-4)*(-8)(2)= 64

It should read x= √9+64 but not √9-54 which lead to incorrect solution

Answer:

When x=-3 ,  y= -16

when x=-2 , y= -10

when x=-1 , y= -6

when x=0 , y=-4

when x=1 y=-2

when x=2, y= 2

when x= 3, y= 8

Step-by-step explanation:

Equation: y= x^2+x-4

All you have to do is plug in the values of x given in the table inorder to find the y values.

Answer:

When x=-3 ,  y= -16

when x=-2 , y= -10

when x=-1 , y= -6

when x=0 , y=-4

when x=1 y=-2

when x=2, y= 2

when x= 3, y= 8

Just plug in each x value to the equation

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

[tex]cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}[/tex]

Now, we know the following identities:

[tex]sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}[/tex]

Now, the values are:

[tex]sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}[/tex]

Sine value is positive and cos, tan values are negative.

It can be clearly observed that [tex]\theta[/tex] is in 2nd quadrant.

2nd quadrant means, the value of [tex]x[/tex] will be negative and [tex]y[/tex] will be positive.

Let us have a look at the value of [tex]tan\theta[/tex]:

[tex]tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5[/tex]

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

Answer:

A (–5, 12) on E2020

Step-by-step explanation:

Answer:

[tex]\$68.20[/tex]

Step-by-step explanation:

[tex]81.05 \times (1-10\%) \times (1-6.5\%)[/tex]

[tex]81.05\:\times \left(1-\frac{10}{100}\right)\:\times \left(1-\frac{6.5}{100}\right)[/tex]

[tex]81.05\:\times \left(0.9)\:\times \left(0.935)[/tex]

[tex]=68.203575[/tex]

Answer:

<A

Step-by-step explanation:

The vertex must in the middle to name the angle

EAU or UAE

Since there is only one angle attached to the vertex, we can name it with just the vertex

A

Answer:

∠A

Step-by-step explanation:

The angle shown could be ∠A or ∠EAU or ∠UAE.

The only option that show one of these is ∠A.

We call this angle ∠A the letter A is closest to the angle.

Answer:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²

Step-by-step explanation:

The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.

[tex]Radius = \frac{circumference}{2\pi}[/tex]

Now, let;s plug in 11 for the circumference because our circumference is 11 units.

[tex]Radius=\frac{11}{2\pi}[/tex]

Multiply 2 by pi. We will use 3.14 in replacement of pi.

[tex]Radius=\frac{11}{6.28}[/tex]

Now, divide.

[tex]Radius=1.75[/tex]

So, our radius is 1.75 units. We can know use this number to find the area of the circle.

[tex]Area=r^2\pi[/tex]

Plug in 1.75 for the radius.

[tex]Area=(1.75)^2\pi[/tex]

Simplify the exponent.

[tex]Area=(3.0625)\pi[/tex]

Multiply the numbers.

[tex]Area=9.61625[/tex]

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61625 = 9.62

So, the area of the circle is 9.62 units²

Answer:

9.62

Step-by-step explanation:

Got it on the test

Answer:

r = 100([tex]\frac{A}{P}[/tex] - 1 )

Step-by-step explanation:

Given

A = P(1 + [tex]\frac{r}{100}[/tex] ) ← divide both sides by P

[tex]\frac{A}{P}[/tex] = 1 + [tex]\frac{r}{100}[/tex] ( subtract 1 from both sides )

[tex]\frac{P}{A}[/tex] - 1 = [tex]\frac{r}{100}[/tex] ( multiply both sides by 100 )

100 ( [tex]\frac{P}{A}[/tex] - 1) = r

Answer:

5x - 30 = 176

Step-by-step explanation:

5/8 = 22/(x-6)

Cross multiply.

5(x-6) = 22 × 8

Expand and multiply.

5x - 30 = 176

[tex]\frac{5}{8} = \frac{22}{x-6} \\[/tex]

5(x-6) = 22 x 8

5x - 30 = 176

Therefore, the correct answer is 5x - 30 = 176.

Answer:

1 + root 5, 1 - root 5

Step-by-step explanation:

I assume you mean 3x^2-6x-12=0.

First, note that you can divide both sides by 3. You get:

x^2-2x-4=0

Use the quadratic equation.

[tex]x=\frac{2\pm\sqrt{4+16}}{2}=\frac{2\pm2\sqrt{5}}{2}=1\pm\sqrt{5}[/tex]

Therefore, x=1 + root 5, 1 - root 5

Answer:

The 3rd answer

Step-by-step explanation:

Step 1: Rewrite the square root

(8^1/3)^x

Step 2: Multiply exponents

8^(x/3)

Remember when exponenting an exponent, you multiply the 2 exponents together.

Answer: The third choice, 8^(x/3)

Step-by-step explanation:

If you were to right the cube root of 8 in fractional exponent form, it would be 8^(1/3).

Now, we have (8)^1/3*x

Then we multiply 1/3 with x to get:

8^(x/3)

Hope this helps

Answer:

3375/13

Step-by-step explanation:

it's found though this equation  [tex]\frac{84375/25}{325/25}[/tex]

Answer:

[tex]3375/13[/tex]

Step-by-step explanation:

[tex]84,375/325[/tex]

Divide the numerator and denominator by 25.

[tex]3375/13[/tex]

[tex]=259.615385[/tex]

Answer: C

Step-by-step explanation:

If you input 2 into the function you will get an output of 4.

Answer:

60

Step-by-step explanation:

We can use the pythagorean theorem to find the leg.

10^2+x=13^2

x=12

We now find the area given the height of the triangle.

10 X 12=120

120/2=60

Answer:

D. -√3/2

Step-by-step explanation:

Remember your unit circle.

Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.

Answer:

D. -√3/2

Step-by-step explanation:

Answer:

x = 19.71

Step-by-step explanation:

Here, we want to find x and round off to the nearest hundredth.

We start by opening the bracket;

0.45x + 0.72 + 5x = 18

Collect like terms

0.95x = 18 + 0.72

0.95x = 18.72

x = 18.72/0.95

x = 19.705263157895 which is 19.71 to the nearest hundredth

Answer:

70

Step-by-step explanation:

mulitiply it

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

x = 28

Step-by-step explanation:

12/8 = (x-7)/14

Cross multiply.

8(x-7) = 12 × 14

Expand and multiply.

8x - 56 = 168

Add 56 on both sides.

8x = 168 + 56

8x = 224

Divide 8 into both sides.

x = 224/8

x = 28

Answer:

4

Step-by-step explanation:

There are 4 digits in the number 9005

Answer:There are four significant digits because non zero digits are always significant and zero between two significant figures are also significant

Step-by-step explanation:

I hope this will help you

Answer:

768 tiles would be required to tile the floor.

Step-by-step explanation:

Let's first calculate the number of square meters that the rectangular floor represents, by using the formula for the area of a rectangle (length x width):

Floor area = 8 m x 6 m = 48 [tex]m^2[/tex]

Next, let's convert the side of the square tiles into meters in order to keep the same units in both (floor area an tile area):

25 cm = 0.25 m

Then the are of a square tile can be obtained by the formula 0.25 m x 0.25 m = 0.0625 [tex]m^2[/tex]

Now to find the number of tiles needed, we perform the division of the total floor area to be covered divided by the area covered by a single tile:

Number of tiles needed: 48 [tex]m^2[/tex] / 0.0625 [tex]m^2[/tex] = 768  tiles

Answer:

Step-by-step explanation:

list of prime #s between 12 and 42:

13, 17, 19, 23, 29, 31, 37, 41

now add them up:

13+17+19+23+29+31+37+41

30+60+60+60

90+120

210

Answer:

13+17+19+23+29+31+37+41

=210

Step-by-step explanation:

Answer:

The range of the data is 9.

Step-by-step explanation:

The frequency table shown is:

Age     Tally          Frequency

24         |                     1

25         ||                    2

26        |||||                  5

27        ||||                   4

28         -                     0

29        ||||                   4

30        |||||                  5

31         |||                   3

32        ||||                   4

33                              13

The range of a data set is the difference between the highest and the lowest value.

Range = Maximum - Minimum

           = 33 - 24

           = 9

Thus, the range of the data is 9.

Answer:

3

Step-by-step explanation: