How many cups of sugar is needed for 5 gallons

Answers

Answer 1
Answer: There are 16 cups in a gallon.

5 • 16 = 80

You need 80 cups of sugar for 5 gallons. 

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Caitlin earns money as a lifeguard and as a pet sitter. In one week, she earned $25 pet sitting. The total amount of money she earned that week was less than $75. The inequality g + 25 less-than 75 represents g, the possible amount of money she made as a lifeguard.A number line. An open circle is at g. Everything to the left of g is shaded.

What is the value of g on the number line?

$25

$49.99

$50

$75

Answers

I think the value is 49.99

Answer:

the person above is correct  have a great day dears

Step-by-step explanation:

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

Answers

so we want to know the vertex point of the equation f(x)=-(x+8)(x-14). First lets simplify the equation: f(x)=-x^2+6x+112. Now lets calculate the vertex by transforming the function to the form: f(x)=a(x-h)^2 + k where h and k are vertex coordinates. So: f(x)= (-x^2+6x+9)+121=-(x-3)^2+121 and the vertex point is (3,121).

Answer:

D.121

Step-by-step explanation:

A circle has a radius of 11 cm. What is the approximate area of the circle? Use 3.14 to approximate pi. Write the answer to the nearest hundredth.

Answers

area of a circle is pi x r x r 
then you substitute the numbers in
therefore you would get 3.14 x 11 x 11 = 379.994
to the nearest hundredth degree would to 379 cm squared because you are finding the area so you put a small 2 above the cm
the person above has done it wrong as they have halved the radius but you only have the diameter to get the radius and they have used the wrong equation 

Which is smaller, -5 or -17 and show your work

Answers

On a number line it seen as this

.... -10, -9, -8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5...

The farther left the number, the smaller it is. So -17 < -5

Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute, can be approximated by the formulasR=143-0.65a for women
R=165-0.75a for men,

where a represents the person’s age. What would the desirable heart rate be for a 46 year old woman?
a. 113 beats per minute
b. 172.9 beats per minute
c. 143.7 beats per minute
d. 63 beats per minute

Answers

Answer:

Option a is correct.

The desirable heart rate be for a 46 year old woman is, 113 beats per minute.

Step-by-step explanation:

Here, R represents a person's desirable heart rate(in beats per minute)

and a represents the person's age.

The desirable heart rate of a person's can be approximated by the formulas;

For women:

R = 143 - 0.65a                  ......[1]

For men:

R = 165- 0.75a                 ......[2]

To find the desirable heart rate be for a 46 year old woman.

a = 46 \text{years old woman}

Substitute in [1] we get;

R = 143 - 0.65(46)=143 -29.9 \approx 113 beats per minute

Therefore, 113 beats per minute would the desirable heart rate be for a 46 years old woman.



I would say a) 113 beats per minute:
substituting 46 for a in the formula: R=143-0.65a you should get 113.

If n=24, x=31, and s = 3 find the margin of error at a 95% confidence level. Give your answer to two decimal places. A) 0.59 B) 1.23 C) 1.96 D) 2.73

Answers

Answer:the correct answer is A) 0.59.

To find the margin of error at a 95% confidence level, we can use the formula:

Margin of Error = Critical Value * Standard Deviation

First, let's find the critical value. Since we are working with a 95% confidence level, we can use a z-score table to find the corresponding critical value.

For a 95% confidence level, the critical value is approximately 1.96.

Next, we need to find the standard deviation. In this case, the standard deviation is represented by "s" which is given as 3.

Now we can calculate the margin of error:

Margin of Error = 1.96 * 3 = 5.88

Rounding this to two decimal places, the margin of error is approximately 5.88.

Therefore, the correct answer is A) 0.59.

Final answer:

The margin of error for a 95% confidence interval with a sample size of 24 and a standard deviation of 3 is approximately 1.2 (or 1.23 when rounding up to the next available answer). This is calculated using the formula M = Z * (s/√n), where M is the margin of error, Z is the z-score, s denotes standard deviation, and n represents the sample size.

Explanation:

The formula for calculating the margin of error at a 95% confidence level is M = Z * (s/√n), where M is the margin of error, Z is the z-score, s is the standard deviation, and n is the sample size.

Since we're finding the margin of error for the 95% confidence level, we use a z-score of 1.96: the value that corresponds to 95% confidence in a standard normal distribution. In your case, n=24, s=3, and z=1.96. Thus, the margin of error is M = 1.96 * (3/√24).

After performing the arithmetic, you'll find that the margin of error, rounded to two decimal places, is approximately 1.2 (1.21 to be more accurate). Thus, the closest answer is B) 1.23.

Learn more about Margin of Error here:

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