If f(t) = 3t4 + 5t+8, what is the value of f(-2)?

Answer:

The relationship between the cost/mass is $2.25/kg.

Step-by-step explanation:

You first need to divide $4.50 / 2, to know what a single kilogram mass costs.

$4.50 / 2 = $2.25

Now that you have this unit rate $2.25, You can multiply/add it.

$4.50 + $2.25 is $6.75, + another $2.25 = $9.00, and so on.

Answer

c,116°

Step-by-step explanation:

i don't know how to draw a diagram?

Join ends of chord with the center making angles ∠2,∠3 and angle at the center.

angle at the center=128°

∠1=∠2+90°

∠2=∠3

∠2+∠3+128=180

∠2+∠2+128=180

2∠2=180-128=52

∠2=52/2=26

∠1=26+90=116°

sorry i can't explain properly without picure.

Answer:

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Z-score with the Central Limit Theorem:

Z-is given by:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

What is the probability that the mean salary offer for these students is X or less?

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

Answer:

4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:

8 x 8 x 8 x 8 = X

64 x 64 = X

4.096 = X

Therefore, 4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT

Given:

15. [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]

17. [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]

19. [tex]2^{\log_2100}[/tex]

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]

Using property of logarithms, we get

[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1[/tex]         [tex][\because \log_aa=1][/tex]

Therefore, the value of [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex] is 1.

17. We have,

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]

Using properties of logarithms, we get

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)[/tex]                    [tex][\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}][/tex]

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1[/tex]                 [tex][\because \log_aa=1][/tex]

Therefore, the value of [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex] is -1.

19. We have,

[tex]2^{\log_2100}[/tex]

Using property of logarithms, we get

[tex]2^{\log_2100}=100[/tex]          [tex][\because a^{\log_ax}=x][/tex]

Therefore, the value of [tex]2^{\log_2100}[/tex] is 100.

Answer: Umm lemme try this

Step-by-step explanation:

55+35=x

Answer:

4

Step-by-step explanation:

x²+8x+11=0

x²+8x+(+4)²-(+4)²+11=0

Answer:

16

Step-by-step explanation:

x2+8x=  −11−11

28​=4→(4)2=16

x2+8x+16=x2+8x+16=  −11+16−11+16

(x+4)2=  55

16

Answer:

$4.94

Step-by-step explanation:

O  5.20       100%

P                   - 5

N                   95%

0.95 x 5.20 = 4.94

Ms. Smith saved $4..94.

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

Answer:

20 people

Step-by-step explanation:

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.

On Monday, 3,000 customers came to the theater.

To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.

LCM of 30, 75

= 5 × 3 × 5 × 2

= 150

Each 150th customer will receive both free items.

Total number of people who receive both free items = 3000 ÷ 150

                                                                                      = 20 people

On Monday 20 people will receive both free items.

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

Answer:

base: 3units

height: 5units

Area:15units square

Step-by-step explanation:

you can count the squares in the figure to know the base and hight.

Area of parallelogram= base x height= 3x5= 15 units square.

please give me brainliest, thanks!

Answer: -4...?

Step-by-step explanation:

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

Answer:

g(5)= 15

Step-by-step explanation:

g(x) = 3x and in this situation x =5 (  g(5)  )

so substitute x for 5 in the original equation:

g(x) = 3x --> g(5) = 3(5)

which gives you 15. Hope this helps!

Answer:

Step 1: 3t = 51

Step 2: 3t/3 = 51/3

Step 3: t = 17

Step 4: The Green Garage has 17 tires

Hope this helps!

Answer:

3t=51

[tex]\frac{3t}{3}[/tex]=[tex]\frac{51}{3}[/tex]

t=17

The Green Garage has 17 tires.

Step-by-step explanation:

Look at the question carefully

Answer:

The ordered pair would be (2,3)

2 in the first Box

3 in the second

Answer:

I think you would have to plug in 4 as X so it would be 4^2 +8(4)+ 7

that would be 16+ 32 +7 and that would equal 55

Answer:

(6,3,0)

Step-by-step explanation:

Given,

x -  y + 0z  =  3

6x -  0y - 2z = 36

0x + 6y + 2z = 18

You have the following augmented matrix:

(1) 1     -1     0      3

(2) 6    0   -2      36

(3) 0    6    2       18

Let's (3) add to (2) and divide by 6

(1)  1    -1    0       3

(2) 1     1    0       9

(3) 0    6   2       18

Now, let's (2) add  to (1) and divide by 2

(1)  1   0    0     6

(2) 1    1    0     9

(3) 0   6   2     18

Let's (3) ÷ 2

(1)  1    0   0     6

(2) 1    1   0      9

(3) 0   3   1      9  

Let's (1) subtract from (2)

(1)  1   0   0     6

(2) 0   1   0     3

(3) 0   3   1     9

Finally, let's (2) multiply by 3 and subtract from (3)

(1)  1   0   0     6

(2) 0   1   0     3

(3) 0   0   1     0

Thus,

x = 6, y = 3 and z = 0

The answer is (6, 3, 0)

We have to verify the answer

6 - 3 = 3  ⇒⇒ 3 = 3

6*6 - 5*0 = 36   ⇒⇒ 36 = 36

6*3 + 2*0 = 18    ⇒⇒ 18 = 18  

Answer:

i think its like this:

Step-by-step explanation:

Answer:

31vw+39uvw . yes we will rewrite the expression

Step-by-step explanation:

41uvw+9uvw=50uvw-11uvw=39uvw

Step-by-step explanation:

[tex] \cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10} [/tex]

[tex] \cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta [/tex]

Note that

[tex] \sin( - \theta) = - \sin \theta[/tex]

[tex] \cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1[/tex]

Therefore,

[tex] \cos( \frac{\pi}{2} - \theta ) = 0.97[/tex]

Solution :

Given :

Mean, μ = 10 inches

Standard deviation, σ = 1.6 inches

Sample size is n = 39

Therefore,

[tex]$\mu_{\overline x}=\mu = 10$[/tex]

[tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n } = \frac{1.6}{\sqrt{39}}$[/tex]

               = 0.25

[tex]$P (\overline X > 10.5 ) = P\left( \frac{\overline X - \mu_{\overline x}}{\sigma_{\overline x}} > \frac{10.5 - 10}{0.25} \right)$[/tex]

                      = P( Z >2)

                       = 1 - P(Z < 2)

                       = 1 - 0.97225 (from standard normal table)

                       = 0.0277

Answer:

9

Step-by-step explanation:

f(x) = x − 7 and g(x) = x^2

g(f(4))

First find f(4)

f(4) = 4-7 = -3

Then put this result in g(x)

g(-3) = (-3) ^2 = 9

g(f(4) = 9

g(f(4)) =9.

Answer:

Solution given;

(x) = x − 7 and g(x) = x2 .

now

g(f(4))=g(4-7)=g(-3)=(-3)²=9

Answer:

the answer is c .no solution

Using the Distributive Property we can put this in its simplest form.

6(x+2)

(6)(x)+(6)(2)

6x+12

Answer:

6x + 12

Step-by-step explanation:

Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.