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Troyanec [42]
3 years ago
6

03,

Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0
The answer to the question is 5
Nataly_w [17]3 years ago
6 0

Answer:

x = 5

Step-by-step explanation:

(7x + 16) = 90 - 39

7x + 16 = 51

7x = 51 - 16 = 35

x = 5

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Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x
dimulka [17.4K]

The fourth option is correct.

See the attached image. The red cylinder represents a washer formed by the described revolution. Its volume is

\pi((\text{outer radius})^2-(\text{inner radius})^2)(\text{height})

so when we integrate, we take

\displaystyle\pi\int_0^1((e^x+2)^2-3^2)\,\mathrm dx

7 0
3 years ago
Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approxima
mojhsa [17]

Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

(t - 1/2 + √5.05) and (t - 1/2 - √5.05)

Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

8 0
3 years ago
An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and hav
Romashka [77]

Answer:

Probability of an Orange on the next toss

= (23/60) = 0.3833

Step-by-step explanation:

Orange: 46

Brown: 23

Green: 32

Yellow: 19

Probability of an Orange on the next toss

= n(orange colours obtained in the tosses) ÷ n(number of tosses)

n(orange colours in the tosses) = 46

Total number of tosses = 46 + 23 + 32 + 19

= 120.

Probability of an Orange on the next toss

= (46/120) = (23/60) = 0.3833

Hope this Helps!!!!

4 0
3 years ago
The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr
Naddik [55]
There are more than 500 species of sharks swimming in the world's ocean. ... They are found in just about every kind of ocean habitat, including the deep sea, open ocean, coral reefs, and under the Arctic ice.
6 0
3 years ago
In March, Delphine's house had 40% more snowfall than in February. Delphine's house had f centimeters of snowfall in February.
slamgirl [31]

Answer: Options 'C' and 'E' are correct.

Step-by-step explanation:

Since we have given that

Quantity of snowfall in February at Delphine's house be f centimeters

Quantity of snowfall in March at Delphine's house be 40% more than in February.

According to question,

40\%\ of\ f=0.4f\\\\Therefore,\\\\f+0.4f=1.4f

So, Options 'C' and 'E' are correct.

i.e. C) 1.4f

E) \frac{4}{10}f+f

4 0
3 years ago
Read 2 more answers
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