If Angle BTS Angle GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, mangle S = 56°, mangleB = 21°, and
mangleH= (7y + 5), find the values of x and y.

Answer:

20

Step-by-step explanation:

6.07 *3.29=19.9703

since rhe number after decimal is greater than 5

so we can add 1 to the real number

that's why whole number is 19+1=20

Answer:

The substance that cannot pass through the cell membranes by simple diffusion is d) Water.

Step-by-step explanation:

Simple diffusion is a type of passive transport that allows substances to move from an area of higher concentration to an area of lower concentration. Small, uncharged molecules, such as oxygen, carbon dioxide, and glucose, can pass through the cell membranes by simple diffusion because they are small enough to fit through the pores in the membrane.

Water, on the other hand, is too large to pass through the pores in the cell membrane by simple diffusion. Instead, it must pass through the membrane by other means, such as osmosis or facilitated diffusion.

Therefore, the substance that cannot pass through the cell membranes by simple diffusion is d) Water.

Hope This Helps:)

Answer:

You can travel 112.5 on a full tank of gas.

Step-by-step explanation:

500/60 = 8 [tex]\frac{1}{3}[/tex]

You can travel 8 [tex]\frac{1}{3}[/tex] miles on one gallon of gas.

Your tank holds 13 1/2 gallons.

8 [tex]\frac{1}{3}[/tex] x 13 [tex]\frac{1}{2}[/tex]

[tex]\frac{25}{3}[/tex] x [tex]\frac{27}{2}[/tex]   3 and 2 share a common factor of 3 so I cross canceled.

[tex]\frac{25}{1}[/tex] x [tex]\frac{9}{2}[/tex] = [tex]\frac{225}{2}[/tex] = 112.5

Answer:

your answer is 1,245 gas

Answer: 0.7, 3.7, 5.62 and 14.3.

Step-by-step explanation: Write all numbers in ascending order.

Answer:

Whole banana = 6/6

Step-by-step explanation:

Given information,

→ Kendyl ate 4 pieces.

→ Adison ate 2 pieces.

Now the total number of pieces,

→ 4 + 2

→ 6 banana pieces

Fractional representation is,

→ Kendyl = 4/6

→ Adison = 2/6

→ Whole banana = 6/6 = 1

Hence, the answer is 6/6.

Answer:

The triangle ABC was dilated with a scale factor of 3.

Take the unknown variable's previous value (4) and multiply it by 3.

You should get an answer of 12.

Hope this helps.

The numeric values for each expression in this problem are given as follows:

a. g(g(g(1))) = 1.

b. f(f(f(2)) = 1.

c. f(f(g(2))) = 2.

d. g(f(g(4))) = 2.

The numeric value for each expression is obtained using the compositions, and also the numeric values given from the tabke,

As an example, from the table, we have that when x = 1, g(x) = 4, hence:

g(1) = 4.

Hence:

g(g(g(1))) = g(g(4)) = g(3) = 1.

The circle symbol represents composition, meaning that the expressions are similar to item a.

Thus the numeric value in item b is obtained as follows:

f(f(f(2)) = f(f(4)) = f(5) = 1.

The numeric value in item c is obtained as follows:

f(f(g(2))) = f(f(5)) = f(1) = 2.

The numeric value in item d is obtained as follows:

g(f(g(4))) = g(f(3)) = g(6) = 2.

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The value of the expression Illustrated as (2a⁴)²/a^0a^5 is C. -500

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number

From the information (2a⁴)²/a^0a^5

We know ( xy) ^z = x^z y^z

(2a^4)^2 = 2^2 a^4^2

and x^y^z =x^(y*z)  so a^4^2 = a^(4*2) = a^8

(2a^4)^2 = 4 a^8

We know that a^0 = 1

4 a^8/1 a^5

We know x^y / x^z = x^ ( y-z)

4 a^( 8-5)

4 a^3

Let a = -5

4 ( -5) ^3

4 ( -125)

= -500

The correct option is C.

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Answer:

Step-by-step explanation:

A: false

B: true

C: true

D: false

The Graph C shows the solution to this system of inequalities in the coordinate plane.

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

We are given that

3y > 2x + 12

2x + y ≤ - 5

Therefore, solving it;

x < 3(y - 4)  / 2

y > 2 (x + 6)  / 2

2x + y< -5

x> -5

So,

x < 3(y - 4)  / 2  

Here it shows dotted ascending line attached through x=-6

This means x=--6 and y = 0

This x>-5 shows boundary dotted vertical line through -5

Which means x = -5 y = 0

If it had been x ≥ -5 it would have been solid boundary line.

The vertices of both show (-5,1) so the correct option is C.

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The graph of the inequality:

y > (-5/4)*x - 2

Can be seen in the image at the end.

Here we want to graph the following inequality:

y > (-5/4)*x - 2

To graph the inequality, we first need to draw the line:

y = (-5/4)*x - 2

With a dashed line (because the points on the line are not solutions) and then shade all the region above that dashed line.

To graph that line you need to find two points on the line and then connect them.

To find the points, we need to evaluate the line in two values of x.

if x = 0.

y = (-5/4)*0 - 2

y = -2

So we have the point (0, -2)

if x = 4

y = (-5/4)*4 - 2

y = -5 - 2

y = -7

So we have the point (4, -7)

Now we can graph the inequality, you can see the image below.

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Solving for x in the exponential equation and inequalities gives the value of

power or exponents as used in mathematics are number written on top of a base number. The power says how many times the base number multiplies itself.

For the given problem,

16²ˣ ⁻ ⁵ > 64 ²ˣ ⁺ ³

finding a common base

4²⁽²ˣ ⁻ ⁵⁾ > 4³⁽²ˣ ⁺ ³⁾

equating the bases

2(2x - 5) > 3(2x - 3)

4x - 10 > 6x - 9

4x - 6x > 10 - 9

-2x > 1

x < -1/2

the value of x in the inequality is -1/2

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The percent increase in the number of comedy tickets issued per weekend, given the number of tickets issued, can be found to be 90 %

To find the percentage increase, you need to find out the increase in the number of tickets issued between last weekend and this weekend. This difference would then be found as a percentage of the number of tickets sold last weekend.

The increase in tickets sold for comedies is therefore:

= This weekend tickets - Last weekend tickets

= 15, 314 - 8, 060

= 7, 254 tickets

The percentage increase is:

= Increase in tickets sold / Total tickets sold last weekend x 100 %

= 7, 254 / 8, 060 x 100 %

= 0. 90 x 100 %

= 90 %

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Answer:

$50

Step-by-step explanation:

To find the amount of interest earned in 8 years, we can use the formula:

interest = principal * rate * time

where "principal" is the initial deposit, "rate" is the interest rate, and "time" is the number of years the interest is compounded.

Plugging in the values from the problem, we get:

interest = $250 * 2.5% * 8 years

interest = $250 * 0.025 * 8

interest = $50

So Ernie will earn $50 in interest in 8 years on his initial deposit of $250.

Subscribe to EvilMrGui Remastered if this was correct.

Answer:

C. {15, 16, 17, 18, ..., 165}

Step-by-step explanation:

Natural numbers are a set of numbers that occurs commonly and obviously in nature.

As such, it is a whole, non-negative number.

The set is denoted with letter N, starts from "0" and continues to the infinity.

The natural numbers between 14 and 166 would start with 15 and goes on until 165 so, the option C is the correct answer.

The pairs of equivalent expressions are matched as follows:

Equivalent expressions are expressions that are equal when both are simplified.

For the first expression, we have that:

(-14 + 3b/2) - (1 + 8/2b)

-14 + 3b/2 - 1 - 8/2b

Combining the like terms:

-15 - 5b/2.

For the second expression, we have that:

(5 + 2b) + (2b + 3/2)

5 + 2b + 2b + 3/2

10/2 + 4b + 3/2

4b + 13/2.

For the third expression, we have that:

(7b/2 - 3) - (8 + 6b)

7b/2 - 3 - 8 - 6b

7b/2 - 11 - 12b/2

-5b/2 - 11.

For the fourth expression, we have that:

(-10 + b) + (7b - 5)

-10 + b + 8b - 5

8b - 15.

The problem is given by the image shown at the end of the answer.

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The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ [(-5) - {4²- (-5) }] · (4 - 3)

Simplify the expression, then we have

⇒ [(-5) - {4²- (-5) }] · (4 - 3)

⇒ [(-5) - {16 + 5}] · (1)

⇒ [(-5) - 21]

⇒ - 26

The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.

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The probability of rolling a number less than 4 on a six-sided die, when rolled 20 times, is 0.5.

Probability is the mathematical study of outcomes in uncertain situations. It is used to describe the likelihood of an event occurring, and it can be expressed as a number between 0 and 1. Probability is used to quantify the uncertainty associated with any given event. It helps us understand how likely it is that something will happen, and it can be used to make predictions about future events. Probability theory is a cornerstone of modern statistics and is widely used in fields such as finance, economics, and science.

This is because there are four possible outcomes when rolling a six-sided die, and two of those outcomes are numbers less than 4: 1 and 2. The probability of rolling a number less than 4 is therefore 2/4, or 0.5. This probability holds true regardless of how many times the die is rolled, as long as it is a fair and unbiased die.

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Answer:

32.538

Step-by-step explanation:

[tex]\frac{32538}{1000}[/tex]  move the decimal point that is at the end of the number 3 places to the left.

Answer:

see explanation

Step-by-step explanation:

given

3x + 4 = 10 ( subtract 4 from both sides )

3x = 10 - 4 = 6 ( divide both sides by 3 )

x = 6 ÷ 3 = 2

thus x = 2 is proven

The window measures 24 1/2 inches by 9 1/2 inches, so the area of the window is 24.5*9.5 = 230.25 square inches. Therefore, 230.25 square inches of glass are needed to replace the window

The graph of the line of the proportional relationship is added as an attachment

The unit rate is 7/6

From the question, we have the following parameters that can be used in our computation:

This means that

d : t = 7 : 6

Express as fraction

So, we have

d/t = 7/6

Multiply both sides by t

d = 7t/6

So, the equation is d = 7t/6

This also means that the unit rate is 7/6

See attachment for the graph

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Step-by-step explanation: you times 3 by 2, which equals 6. And then you times 2 by 2 which gives you 4, and then you get 10. For the second one you do 3 times 2 which is 6 minus 2 ad it's 4.

sorry if it's wrong, st my school we do things very different that lots of other schools.

Answer:

i believe the answer is 2,2

Step-by-step explanation:

slove for the variable in one of the equations, I usually do the bottom but don't think it matters. Then add the final product back into the top one to get the final answer.

The statement that  apply to the given terms are:

The facts to be noted :

An Angle in the figurecan be regarded as right angle which is 90°

∠2  can be seen as  90°  since they are vertically opposite angles are equal

Both ∠1  and ∠2  altogether will give us 180° which can be seen as  Linear Pair Then ∠1 = 90°.

Hence, we can deduce that :

They are Right angles ( measure of both angles are 90)

They are Adjacent angles (there is  common arm and a common vertex)

They are Supplementary angles (sum of both angles is 180°)

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For the function: y = √(x - 7) - 1

The domain is D: [7, ∞) and the range is R: [1, ∞)

Remember that the for a function y = f(x), the domain is the set of the possible inputs (possible values of x) while the range is the set of the possible outputs (possible values of y).

Here we want to find the domain and range of the function:

y = √(x - 7) - 1

First, we will find the domain, remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x - 7 = 0

x = 7

The domain is:

D: [7, ∞)

The square root is an increasing function, then the minimum of the range is given by evaluating the function in the minimum of the domain:

f(7) = √(7 - 7) - 1

f(7) = 1

Then the range is:

R: [1, ∞)

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Answer:

x = 3/2

Step-by-step explanation:

6 - 2x = 3

-2x = -3

x = 3/2

I hope this helps!

The number sentence inequality that reflects the bounce height restrictions for tennis balls is given as follows:

A. 53 inches < bounce height < 58 inches.

To construct the number sentence inequality, we must look at the restrictions for the bounce height of the tennis balls.

The restrictions are given as follows:

The inequality that symbolizes the first restriction is given as follows:

bounce height > 53 inches.

The inequality that symbolizes the second restriction is given as follows:

bounce height < 58 inches.

Hence the compound inequality that involves the two restrictions is given as follows:

53 inches < bounce height < 58 inches.

Meaning that the correct option for this problem is given by option A.

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Answer:80 pieces

Step-by-step explanation: