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MAXImum [283]
3 years ago
8

Evaluate each expression a3 for a=5

Mathematics
1 answer:
nadezda [96]3 years ago
4 0
I'm assuming you meant to say a^3. If so, then

a^3 = a*a*a
a^3 = 5*5*5
a^3 = 125
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Every weekday after tennis practice, Will buys either a carton of milk or a bottle
Gemiola [76]

Answer:

The correct options are;

The cost of milk powder is $3 per bottle

An equivalent expression for the total cost of Will's beverages during this month is 60 - m dollars

Step-by-step explanation:

The given information are;

The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink

The number of milk purchased during the month = m

Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)

1) Therefore, given that the total amount is factored in dollars, we have;

2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;

Therefore;

Where;

2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk

Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month

From which we found the cost of milk powder = $3.00 per bottle

2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;

2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.

8 0
3 years ago
What is the GCF 16 24 40
boyakko [2]
The factors of 16 are 1, 2, 4, 8, and 16. 
<span>The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. </span>
<span>The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. </span>
<span>So the greatest common factor of 16, 24, and 40 is 8.
                             
                                         Hope this helps:)</span>
4 0
3 years ago
Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2
iren2701 [21]

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

3 0
3 years ago
In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height
tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

H_0: \mu=0\\\\H_a:\mu> 0

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505

The degrees of freedom for this sample size are:

df=n-1=39-1=38

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>6.505)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is  enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0
3 years ago
Pls answer this!!!!!!!!!!!!
Artyom0805 [142]
The answer to the question is 90
6 0
2 years ago
Read 2 more answers
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