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3 years ago

Find the value of (–3⁄8) × (+8⁄15).

Mathematics

1 answer:

Otrada [13]3 years ago

8 0

Step-by-step explanation:

$\frac{-3}{8}$ × $\frac{+8}{15}$

= $\frac{-1}{5}$

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Given that f(x)=x^2+3x-28f(x)=x

spayn [35]

9514 1404 393

Answer:

x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

f(x) + g(x)

= (x^2 +3x -28) +(x +7)

= x^2 +(3+1)x +(-28 +7)

= x^2 +4x -21

6 0

3 years ago

Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute.

Inga [223]

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

5 0

2 years ago

Solve the equation: \frac{2}{3}t=\frac{5}{9} (hint: reciprocal)

Aleks04 [339]

Given:

$\frac{2}{3}t=\frac{5}{9}$ $\text{ We know that the reciprocal of }\frac{2}{3}\text{ is }\frac{3}{2}\text{.}$

Multiply both sides by 3/2, we get

$\frac{3}{2}\times\frac{2}{3}t=\frac{3}{2}\times\frac{5}{9}$

Cancel out the common multiples, we get

$t=\frac{1}{2}\times\frac{5}{3}$

$t=\frac{1\times5}{2\times3}$

$t=\frac{5}{6}$

The solution of the given equation is

$t=\frac{5}{6}$

$t=0.8333.$

3 0

1 year ago

A business bought some compact cars that cost $15,000 each, and some full–sized cars, that cost $23,000 each. A total of

stich3 [128]

It’s simple divide 372,000 by 23,000

7 0

3 years ago

25. Michael is studying population changes in two

g100num [7]

Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.

Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.

Average Rate of Change

Bird A:

For the interval [0,18]:

x₁ = 0 f(0) = 8.3

x₂ = 18 f(18) = 9.1

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{9.1 - 8.3}{18 - 0}$

Average = 0.045

Bird B: y = 3.6(1.06)x

For the interval [0,18]:

x₁ = 0 y = 3.6(1.06)0 = 0

x₂ = 18 y = 3.6(1.06)18 = 68.7

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{68.7 - 0}{18 - 0}$

Average = 3.816

The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.

4 0

2 years ago