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3 years ago

Select All ordered pairs that satisfy the function y= 5x + 5

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

Answer:

A, B,and C

Step-by-step explanation:

Hopefully this helps

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Nancy's garden has the dimensions shown 4 1/2 yard 3 3/4 yd . She need find the area

Marina86 [1]

Answer:

The area of Nancy's garden is $16\frac{7}{8}\ yd^{2}$

Step-by-step explanation:

I assume that the Nancy's garden is a rectangle shape

To find the area first convert mixed number to an improper fraction

$4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd$

$3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd$

Therefore

The area is equal to

$A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}$

convert to mixed number

$\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}$

4 0

4 years ago

Given the recursive function f(n) = f(n - 1) - 3 ; f(1) = 9 , what would be the first three terms of the sequence ?

Ann [662]

The first three terms of sequence are 9 , 6 , 3

Solution:

Given the recursive function f(n) = f(n - 1) - 3

Where f(1) = 9

To find: First three terms of sequence

Substitute n = 2 , n = 3 and n = 4 in given recursive function

When n = 2

f(n) = f(n - 1) - 3

f(2) = f(2 - 1) - 3

f(2) = f(1) - 3

f(2) = 9 - 3 = 6

f(2) = 6

Thus second term is 6

When n = 3

f(3) = f( 3 - 1) - 3

f(3) = f(2) - 3

f(3) = 6 - 3 = 3

f(3) = 3

Thus the third term is 3

When n = 4

f(4) = f( 4 - 1) - 3

f(4) = f(3) - 3

f(4) = 3 - 3

f(4) = 0

Thus the fourth term is 0

Thus first three terms of sequence are 9 , 6 , 3

6 0

3 years ago

Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s

AleksandrR [38]

Fraction of shampoo left = $\frac{13}{24}$

Solution:

Given fraction of full shampoo $=\frac{7}{8}$ .

Fraction of shampoo Margaret used $=\frac{1}{3}$

Fraction of shampoo left = Full shampoo – fraction of shampoo used

$=\frac{7}{8}-\frac{1}{3}$

To make the denominators same do cross multiplication.

$=\frac{7\times3}{8\times3}-\frac{1\times8}{3\times8}$

$=\frac{21}{24}-\frac{8}{24}$

$=\frac{21-8}{24}$

$=\frac{13}{24}$

Hence $\frac{13}{24}$ of the shampoo bottle is left.

8 0

4 years ago

Please urgent answer needed

Daniel [21]

Answer:

Step-by-step explanation:

5 0

4 years ago

A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte

Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

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

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

$Z = \frac{X - \mu}{\sigma}$

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.

Average of 48 texts per day with a standard deviation of 12.

This means that $\mu = 48, \sigma = 12$