What is the range of h

Answer:

3$

Step-by-step explanation:

To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.

So all you have to do is:

15 x 0.20

which gives you an answer of 3.

Thus the post-discount amount is $3.

Answer:

a,d,e

Step-by-step explanation:

In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].

Limit:

The limit given is:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]

If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.

When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.

Multiplication by the conjugate:

The term with the root is:

[tex]\sqrt{x+2} - 3[/tex]

It's conjugate is:

[tex]\sqrt{x+2}+3[/tex]

Multiplying numerator and denominator by the conjugate, meaning option A is correct:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]

We do this because at the numerator we can apply:

[tex](a+b)(a-b) = a^2 - b^2[/tex]

Thus

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]

Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]

Now, we just calculate the limit:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]

Thus, option E is also correct.

Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.

For more on limits, you can check https://brainly.com/question/12207599

Answer:

Hello your question is incomplete attached below is the complete question

1)  It is a claimed parameter ( A )

2) B

Step-by-step explanation:

1)  It is a claimed parameter and this is because it represents a proportion of the population

2) The null and alternate hypothesis is

    H0: p = 0.38

    HA: p < 0.38

Answer:

More than happy to help with your homework:

500 miles = 50 gallons

(Divide both sides of the EQ by 50)

10 miles = 1 gallon

(Divide both sides by gallon)

10 miles per gallon

Answer:

76+2x=90

2x=90-76

2x=14

x=14/2

x=7

Answer:

First, you need to find the number 2/5 on the number line.

Now, you want to find (3/4) times (2/5)

Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)

sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)

Another way, which should give you the exact same point, is:

First locate the point (3/4) on the number line.

Now, you want to find (3/4) times (2/5)

The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)

Because the numerator is 2, you need to move, from the origin, two of these parts to the right.

The point where you end is the product (3/4)*(2/5)

Answer:

-4,0

Step-by-step explanation:

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Answer:

18 inches

Step-by-step explanation:

54*1/3=18(inches)

Answer:

120

Step-by-step explanation:

number of hours sold = fraction of houses sold this year x number of houses built last year

4/7 x 210 = 120 houses

Answer:

x=70

Step-by-step explanation:

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Divide 140 by 2 to get X=70

Answer:

x>8 should be correct!

Step-by-step explanation:

56/7 = 8

Answer:

12

Step-by-step explanation:

Answer:

[tex]a_{20} = 1/1048576[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]

Required

Determine [tex]a_{20[/tex]

Since it is a geometric sequence, first we need to calculate the common ratio (r)

[tex]r = \frac{a_2}{a_1}[/tex]

From the sequence:

[tex]a_2 = 1/4[/tex]

[tex]a_1 = -1/2[/tex]

[tex]a_1[/tex] is the same as [tex]a[/tex]

So:

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{1/4}{-1/2}[/tex]

[tex]r = -1/2[/tex]

[tex]a_{20[/tex] is then calculated as:

[tex]a_n = ar^{n-1}[/tex]

Where

[tex]n = 20[/tex]

[tex]a_{20} = ar^{20-1}[/tex]

[tex]a_{20} = ar^{19}[/tex]

[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]

Apply law of indices

[tex]a_{20} = (-1/2)^{1+19}[/tex]

[tex]a_{20} = (-1/2)^{20}[/tex]

Evaluate the exponent

[tex]a_{20} = 1/1048576[/tex]

Answer:

https://youtu.be/WYNfQabLpuk

Answer:

i think its b but I'm not exactly sure i have to check again

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

The interval given as:  -2 ≤ x ≤ 2

Let (x_1,y_1) = (-2, 2)  and  (x_2,y_2) = (2, -2.5)

The rate of change

[tex]\dfrac{y_2-y_1}{x_2-x_1}\\\\\\=\dfrac{-2.5-2}{2+2} \\\\=\dfrac{-4.5}{4}\\\\=-\dfrac{9}{8}[/tex]

Therefore, the approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

Learn more about rate of change here:

https://brainly.com/question/19167959

#SPJ2

Answer:

Equivalent fractions of 3/5 are:

(3 × 2)/(5× 2) = 6/10,

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{3}{5}}\\\\\mathsf{= \dfrac{3\times\bf 2}{5\times \bf 2}}\\\\\mathsf{= \dfrac{\bf 6}{10}}\\\\\mathsf{= \dfrac{6\leftarrow numerator}{10 \leftarrow denominator}}\\\\\huge\textsf{Thus, your numerator is \boxed{\mathsf{6}}, whereas the}\\\huge\textsf{denominator is \boxed{\mathsf{10}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

a = 6

Step-by-step explanation:

Given:

[tex]-8 + \sqrt{5a-5} = -3[/tex]

Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.

First step: add 8 to both sides, resulting in:

[tex]\sqrt{5a-5} = 5[/tex]

Second step: Next we need to square both sides, getting us:

[tex]5a - 5 = 25[/tex]

Third step: We now can add 5 to get an isolated monomial:

[tex]5a = 30[/tex]

Fourth Step: Finally, divide by 5 to get:

[tex]a = 6[/tex]

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

B

this answer for this question

Answer:

Total amount pay after 3 week = $147.5

Step-by-step explanation:

Given:

Amount of loan taken = $125

Amount interest per $100 = $6 per week

Find:

Total amount pay after 3 week

Computation:

Amount of interest per week = 125[6/100]

Amount of interest per week = $7.5 per week

Amount of interest in three week = 3 x Amount of interest per week

Amount of interest in three week = 3 x 7.5

Amount of interest in three week = $22.5

Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week

Total amount pay after 3 week = 125 + 22.5

Total amount pay after 3 week = $147.5

Answer:

have no idea

Step-by-step explanation:

Hope someone else answers and sorry that ai didn't answer

Answer:

uh idek

Step-by-step explanation:

Answer:

1) 20.2

2) 13

3) 10.3

4) 103

Step-by-step explanation:

If you need help solving these on your own next time, here's the formula

a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.

To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)

Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.

(ex. √408.64, which is 20.2)

Most of the numbers are in the 50’s and 60’s so the outlier would be 98

Answer:

$9.60 for 1 hour

The unit rate is $9.60

Step-by-step explanation:

the answer is 24 water pour into the vase