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madreJ [45]
2 years ago
7

* WILL GIVE BRAINIEST*

Mathematics
1 answer:
k0ka [10]2 years ago
3 0

Answer:

B: 280

Step-by-step explanation:

The regression line predicts that when x equals 5:

log_{10}(y) = 2.447

In order to find the value for y, one must simply apply the following logarithmic property:

if : log_{b}(a) = c

then: b^c = a

Applying it to this particular problem:

log_{10}(y) = 2.2447\\10^{2.447}= y\\y=280

Therefore, the regression line predicts y will equal 280 when x equals 5.

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Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle o
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Answer:41.81 degrees

Step by step solution: see photo

8 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.​
amm1812

Answer:

Volume of the Figure =825.38m^3

Step-by-step explanation:

Volume of the figure = Volume of the Upper cone+Volume of the lower cone

Volume of a cone = \pi *r^2*\frac{h}{3}

Volume of the Upper Cone with  

height=12m

radius=6m

                       3.14*6*6*\frac{12}{3}

                        =3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3

Volume of the Lower cone with radius=6m and height=18m

                            =3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3

Volume of the Whole Figure =   147.14+678.24

Volume of the Figure  =825.38m^3

4 0
3 years ago
A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the​ mother's
svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be x+5.

The sum of the squares of their ages is 97. We can represent this information in an equation as:

x^2+(x+5)^2=97

Let us solve for x.

x^2+x^2+10x+25=97

2x^2+10x+25-97=0

2x^2+10x-72=0

Divide both sides by 2:

x^2+5x-36=0

x^2+9x-4x-36=0

x(x+9)-4(x+9)=0

(x+9)(x-4)=0

(x+9)=0 ; (x-4)=0

x=-9 ; x=4

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be x+5\Rightarrow4+5=9

Therefore, the age of older child would be 9 years.

We have been given that the square of the​ mother's age can be found by writing the squares of the​ children's ages one after the other as a​ four-digit number.

Square of 4: 4^2=16

Square of 9: 9^2=81.

Square of mother's age: 1681

To find mother's age, we need to take positive square root of 1681 as:

\sqrt{1681}=41

Therefore, the mother is 41 years old.

4 0
3 years ago
What multiplies to 24 but adds to 23
laiz [17]
1 and negative 24 is the answer
4 0
2 years ago
Read 2 more answers
Will choose brainliest! Please help! (This is Khan Academy)
NeTakaya

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

8 0
3 years ago
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