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2 years ago

PLEASE HELP!!! I GIVE TON OF POINTS!!! THANKSSS!! IM GIVING 20 POINTS FOR THIS PROBLEM!!!

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

4 0

Answer: 10.2 mph

Step-by-step explanation:

total runtime of the bike trip: 4hrs, 42 mi total

12 hrs has her 122 mi from home

our rate can be found by taking the miles and dividing it by the hours:

122/12 = 10.2

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Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the buildi

oksian1 [2.3K]

Answer:

13.2 ft

Step-by-step explanation:

x^2 + 8.2^2 = 15.5^2

$x = \sqrt{15.5^2 -8.2^2}$

x = 13.2 ft

3 0

3 years ago

Use the fraction model to multiply: three multiplied by three fifths. Leave your answer as an improper fraction.

Katena32 [7]

Answer:

it is six fifths your welcome

Step-by-step explanation:

8 0

1 year ago

The product of 2 consecutive #s is 4160 what are the numbers?

KengaRu [80]

So the so the product of two consecutive numbers is 4160 or
x(x+1)=4160
distribute
x^2+x=4160
subtract 4160 from both sides
x^2+x-4160=0
find the factor (if you want to know how, just ask in the comments)
(x-64)(x+65)=0
so the answer is x could be 64 or -65
so the number that work are 64,65 and -65,-64

7 0

2 years ago

Read 2 more answers

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

2 years ago

Let f(x) = x2 − 8x + 5. Find f(−1). (1 point) −4 −3 13 14

s344n2d4d5 [400]

f(x) = x² - 8x + 5 Plug in -1 for all of the x-values
f(-1) = (-1)² - 8 (-1) + 5 Square -1
f(-1) = 1 - 8 (-1) + 5 Multiply -8 and -1
f(-1) = 1 + 8 + 5 Add
f(-1) = 14

6 0

3 years ago