4. The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below:

x ≤ - 3

The given inequality is:

-1 ≥ 2x + 5

Subtract 5 from both sides

-1 - 5 ≥ 2x + 5 - 5

-6 ≥ 2x

This can also be written as:

2x ≤ -6

Divide both sides by 2

The number line representing the solution x ≤ -3 is shown below:

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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1 and 5 I'm pretty sure I hope I helped a little

Answer:

1/6

Step-by-step explanation:

The Correct answer option D, which is is \(\sqrt[8]{10} ^{3x}\)

What are Square roots and cube root ?

The two most crucial areas in mathematics are square roots and cube roots. To calculate the square root of any number, one needs to find a number that, when multiplied twice by itself, equals the original value. Similar to this, to determine the cube root of any number, we need to find a number that, when multiplied three times by itself, equals the original value.

Symbol: The square root is represented by the character "√" whereas the cube root is represented by the character "∛" and so on.

According to question

⇒   \(\sqrt[]{10} ^{\frac{3}{4} x}\)

⇒  \(10^{\frac{3}{4}x .\frac{1}{2} }\)

⇒ \(10^{\frac{3}{8}x}\)

⇒ \(\sqrt[8]{10} ^{3x}\\\)

⇒    \(10^{\frac{3}{8}x} = \sqrt[8]{10} ^{3x}\\\)

hence, the \(\sqrt[8]{10} ^{3x}\\\) is equivalent to 10 square rooted 3/4x

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Hey there!

n * 25 = 5 * 60

25n = 5 * 60

25n = 300

DIVIDE 25 to BOTH SIDES

25n/25 = 300/25

CANCEL out: 25/25 because it gives you 1

KEEP: 300/25 because it helps solve for the n-value

NEW EQUATION: n = 300/25

SIMPLIFY IT!

n = 12

Therefore, your answer is: n = 12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is false.

When we say that an estimated regression coefficient is statistically significant, we mean that it is statistically different from zero, not from 1.

The reason for this is that the null hypothesis in a hypothesis test for a regression coefficient is typically that the true value of the coefficient is zero. Therefore, if we reject the null hypothesis and find that the estimated coefficient is statistically significant, we conclude that there is evidence to suggest that the coefficient is not equal to zero and therefore has a non-zero effect on the response variable.

In some cases, we may be interested in testing whether a regression coefficient is equal to a specific value, such as 1. However, this would be a different hypothesis test with a different null hypothesis, and the result of this test would not necessarily be related to whether the coefficient is statistically significant or not.

Therefore, the statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is not accurate.

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Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

The Solution:

Given:

Required:

To find the recursive formula for the sequence.

The recursive formula for a geometric sequence is:

From the given formula, we can find r as below:

Recall:

So, the explicit form of the recursive formula is:

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

EASY the awnser is about 15

Answer:

455

Step-by-step explanation:

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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The work is required to remove all the water by pumping it over the side will be: 54,221,971.6 ft-lbs

To calculate the work required to remove all of the water, we need to consider the gravitational potential energy of the water. The work done to remove the water is equal to the change in potential energy of the water.

First, we need to calculate the volume of the water in the pool. The pool is a cylinder with a height of 10.5 feet and a radius of 19 feet. The volume of the water is:

\(V = \pi r^2h = π(19ft)^2(7ft) = 2,586.6 ft^3\)

Next, we need to calculate the weight of the water in the pool. The weight of the water is equal to its volume times its density. The density of Kool-Aid contaminated water is given as 65.7 lbs/ft^3. The weight of the water in the pool is:

\(W = Vpg = 2,586.6ft^3 * 65.7lbs/ft^3 * 32.2ft/s^2 \\\\\)

     = 5,169,044.8 ft-lbs

Finally, we can calculate the work required to remove the water by pumping it over the side. Since the water is being lifted to a height of 10.5 feet, the work required is equal to the weight of the water times the height:

W = Fd = Wwater × h

    = 5,169,044.8 ft-lbs × 10.5 ft

    = 54,221,971.6 ft-lbs

Therefore, approximately 54,221,971.6 ft-lbs of work is required to remove all of the water from the pool.

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Answer:

$6.49?

Step-by-step explanation:

divide $32.45 by 5

The proof is given as follows:

The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".

The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.

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Answer:

ifhofgoefouegf

Step-by-step explanation:

Answers (there are two solutions):

I hope this helps!

Answer:

10/40 were men, or simplified the amount is 1/4 of the total is men

Answer:

{(0,3),(1,2),(2,1),(3,0),4,-1)}

Step-by-step explanation:

{(0,3),(1,2),(2,1),(3,0),4,-1)}

x           y
0          3
1           2
2          1

3          0

4         -1

Answer:

8 square = b square + 4 square

This is the answer to your question

Answer:

A. 3(2x - 12) = 2(3 + 2x - 12)

B. Length = 6, width = 3

Step-by-step explanation:

l = 2x - 12

w = 3

Area = 3(2x - 12)

Perimeter = 2(3 + 2x - 12)

if A = P

3(2x - 12) = 2(3 + 2x - 12)

6x - 36 = 6 + 4x - 24

6x - 4x = 6 - 24 + 36

2x = 18

x = 9

Length = 2x - 12 = 2(9) - 12 = 18 - 12 = 6

Answer:

Answer is 2

Step-by-step explanation:

To get rid of the fraction:

5*4x-5 =3

5

4x-5=3

4x=3+5

4x=8

x=2

Step-by-step explanation:

It should be 5x4= 20

-5=15

15÷5

=3

Answer:

60,000,000

Step-by-step explanation:

5 and up - round up

4 and down - round down

You can see 7, so we round up.

57,824,279 is rounded to 60,000,000

Let me know if I'm wrong!

Answer:

57,824,279 to the nearest ten million is 60,000,000

Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.

Step-by-step explanation:

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Answer: There are 16 houses

Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.

Answer: \((\frac{2}{5},0) ; (0,2)\)

Step-by-step explanation:

(to find the x-intercept, plug in 0 for y)

(to find the y-intercept, plug in 0 for x)

\(0=-5x+2\\5x=2\\x=\frac{2}{5}\\(\frac{2}{5},0)\\y=-5(0)+2\\y=2 \\(0,2)\)

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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