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1 year ago

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Is the sum of the areas of two smaller squares equal to the area of a large square if the sides lengths of the squares are 8 fee

t, 5 feet, and 3 feet?

1 answer:

77julia77 [94]1 year ago

5 0

No.
The sum of the areas of the two smaller squares is 5^2 + 3^2 = 34
The area of the larger square is 8^2=64
34 does not = 64

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Izumi is running on a quarter-mile oval track. After running 110 yards, his coach records his time as 16 seconds.

pickupchik [31]

Answer:

14.04 miles per hour

Step-by-step explanation:

The problem is asking for Izumi's speed. The formula of speed is:

s = $\frac{d}{t}$ , where "s" means speed, "d" means distance and "t" means time.

The problem is also asking for the unit<u> miles per hou</u>r ( $\frac{miles}{hour}$ ) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>

Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.

110 yards ÷ 1760 $\frac{yards}{mile}$ = 0.0625 miles (this is the distance covered by Izumi in miles)

Let's go back again to the formula: s = $\frac{d}{t}$

s = $\frac{0.0625 miles}{16 seconds}$ = 0.0039 $\frac{miles}{sec}$

Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.

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1 year ago

What value does the 6 represent in the number 240.65

Kobotan [32]

Answer:

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1 year ago

A function f(x) has x intercepts of -3 and -5. What is the constant term in the function?

Anon25 [30]

Answer:

The constant term in the function is 5

Step-by-step explanation:

we have

$f(x)=x^{2}+8x+b$

where

b is the y-intercept or the constant term of the function

Remember that

The x-intercept is the value of x when the value of the function is equal to zero

so

For x=-3 ----> f(x)=0

For x=-5 ----> f(x)=0

substitute any of the intercepts in the function

For x=-3

$0=(-3)^{2}+8(-3)+b$

$0=9-24+b$

$0=-15+b$

$b=15$

$f(x)=x^{2}+8x+15$

Verify with the other intercept

For x=-5

$0=(-5)^{2}+8(-5)+15$

$0=25-40+15$

$0=0$ ---> is true

therefore

The constant term in the function is 5

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2 years ago

What is the quotient of StartFraction negative 8 x Superscript 6 Baseline Over 4 x Superscript negative 3 Baseline EndFraction?

scZoUnD [109]

Answer:

Option D.

Step-by-step explanation:

We need to find the quotient of

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$\dfrac{-8}{4}\times \dfrac{x^6}{x^{-3}}$

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The required expression is $-2x^{9}$ .

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2 years ago

Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative

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Answer:

$E(n)=75000 \times 2^n$

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

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Also,We are given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be $2^n$ times

So, her earning will be : $75000 \times 2^n$

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes : $E(n)=75000 \times 2^n$

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