What is the solution to log Subscript 5 Baseline (x + 30) = 3

x= -95
x= -5
x= 5
x=95

Answer:

785.4

Step-by-step explanation:

[tex]\pi[/tex] x 5^2 x 10 = 785.4

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Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

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Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Answer:

70 and 21

Step-by-step explanation:

6parts of the ratio represents 84 students

Divide 84 by 6 to find the value of one part of the ratio

84 ÷ 6 = 14 ← value of 1 part of the ratio, thus

5 parts = 5 × 14 = 70 ← number of Michigan students

Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21

Answer:

red : 50%

blue : 18%

Step-by-step explanation:

Red : 14:28x100 = 50%

blue : 5:28x100= 17,85%= 18%

Answer:

69.8

Step-by-step explanation:

Answer:

2,3,4,6, and 8

Step-by-step explanation:

2 is divisible by 24 because it is a multiple of 24

3 is divisible by 24 because it is a multiple of 24

4 is divisible by 24 because it is a multiple of 24

6 is divisible by 24 because it is a multiple of 24

8 is divisible by 24 because it is a multiple of 24

i am not sure about the explain.

i suck at explaining things

Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.

Answers:

Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12

Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8

Divisible by 4: yes, result: 24/4 = 6

Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.

Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.

Divisible by 8: yes, result: 24/8 = 3

Divisible by 9: no, because the sum of its digits is not a multiple of 9.

Divisible by 10: no, because a number is divisible by 10 if it ends in 0.

Divisible by 25: no, because 25 is a number greater than 24.

Answer:

total ages = 60

Generally, if the mode is 8 would mean there are more than one age of 8

suppose there are two with age 8,

leaving 44 for the other 4

(11 for the average of the remaining 4)

could have 9 and 13, and 8 and 14

so we could have:

8,8,8,9,13,14

or we could have:

8,8,9,10,12,13

check:of the 1st answer

mean = (8+8+8+9+13+14)/6 = 10

the mode is 8

Step-by-step explanation:

Answer:

-4096

Step-by-step explanation:

Pattern: *-2

2, -4, 8, -16, 32, -64, 128, -256, 512, -1024, 2048, -4096

Answer:

-4096

Step-by-step explanation:

Answer:

Give the positive and negative answer

Step-by-step explanation:

Answer:

The first step in solving quadratic equations is to isolate the squared term by adding or subtracting any constant term to both sides.

Step-by-step explanation:

Answer:

1.5 inches

Step-by-step explanation:

56.52/ 8 = 7.065

7.065 / pi =2.248859346

square root of 2.248859346 = 1.5

r = 1.5

Answer:

1.5 inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

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Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

Answer:

[tex](5,-3)[/tex]

Step-by-step explanation:

Solve by Graphing.

Graph the lines.

When we graphed them, the intercepted at point (5,-3).

The solution the the system of equations is (5,-3).

Answer:

5,-3

Step-by-step explanation:

Answer:

14 meters

Step-by-step explanation:

A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.

Answer: A. 9x9 tiles are the biggest ones that she can use. B. 48 C. Examples are: 8x8, 6x6, 4x4, 3x3, 2x2, and 1x1 ft

Step-by-step explanation: If the area is 432 ft. then you would have to find the tiles that can be put in there but can also be equally divided by the number.

The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A restaurant owner is replacing the restaurant’s bathroom floor with square tiles.

The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut.

The floor is a rectangle that measures 24 feet by 18 feet.

Then the area of the bathroom will be

Area = 24 x 18

Area = 432 square feet

Let n be the number of tiles and a be the side length of the square tile.

na² = 432

If a = 1, Then the number of tiles will be

n = 432

If a = 2, Then the number of tiles will be

n x 2² = 432

n x 4 = 432

n = 108

The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.

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Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

Answer:

x = 70°

Step-by-step explanation:

Sum of external angles of polygon = 360

x + 150 + 140 = 360

x + 290 = 360

x = 360 - 290

x = 70°

Answer:

48

Step-by-step explanation:

6*8 = 48

I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.

Answer:

Your answer is 48 sq. ft.

Step-by-step explanation:

Why? Because A= L(W) Therefore, A= 8(6)=48

Answer:

the total number of students is 1240

Step-by-step explanation:

the difference between 11 and 9 is 2

124÷2=62

62×11=682

62×9=558

682+558=1240

pls give me brainliest!

Answer:

6

Step-by-step explanation:

when u substitude the value of n as 2

u get 2*2-1+1=6

hope this helps

there is a mistake in question that f(1)= -6

but i have answered correctly

pls mark me brainliest

Answer:

f(2)= - 5

Step-by-step explanation:

hello :

f(1)=-3

f(n)=2f(n-1)+1

n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1   but f(1) = -3

so : f(2)=2(-3)+1 =-6+1=-5

Answer:

3/8 = 0.375

Step-by-step explanation:

Substitute the values of b and c

2+1/8-7/4

16/8 + 1/8 - 14/8= 3/8

Answer:

the answer is 3/8

Step-by-step explanation:

it's from khan

Answer:

Triangle IV

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

Answer:

50%

Step-by-step explanation:

The mean ideally should be in the exact middle

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114