Find the value of x.

A 45, 45, 90 degree right triangle is drawn. One of the 45 degree angles is labeled. The leg adjacent to that 45 degree angle is labeled 5. The leg opposite that 45 degree angle is labeled x. The hypotenuse is labeled y.

Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

the last one

(x+1)^2+(y+4)^2=16

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

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Answer:

Question  5

    correct option is  A

Question 6

    correct option is  D

Question 7  

      correct option is  A  

Step-by-step explanation:

Considering question 5

From the question we are told that

     The population proportion considered is  \(p = 0.25\)

      The sample size is  n  =  200

      The number that had a personal computer at home is  \(k = 65\)

      The  level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : p = 0.25\)

The alternative hypothesis is  \(H_a : p > 0.25\)

Generally from the z-table the critical value of  \(\alpha = 0.01\)  to the right of the curve is

          \(z_{\alpha } = 2.33\)

Generally given that it is a right-tailed test , the rejection region is  

      z > 2.33

Considering question 6

  The sample size is  n = 20

  The standard deviation is  \(s = 2\)

   The sample mean is  \(\=x = 6.3\)

   The  population mean   \(\mu = 6.7\)

Generally the test statistics is mathematically represented as

          \(t = \frac{ \= x - \mu }{\frac{s}{\sqrt{n} } }\)

=>       \(t = \frac{ 6.3 - 6.7 }{ \frac{ 2}{ \sqrt{20} } }\)

=>       \(t = -0.894\)

Considering question 7

  The sample size is  n = 60

   The sample mean is  \(x = 39\)

   The  population proportion    \(p = 0.85\)

Gnerally the sample proportion is mathematically represented as  

           \(\^ p = \frac{x}{n}\)

=>       \(\^ p = \frac{39}{60}\)  

=>       \(\^ p = 0.65\)

Generally the standard error of this distribution is mathematically represented as

     \(SE = \sqrt{ \frac{ p(1 - p ) }{ n } }\)

=> \(SE = \sqrt{ \frac{ 0.85 (1 - 0.85 ) }{ 60 } }\)

=> \(SE = 0.0461\)

Generally the test statistics is mathematically represented as

          \(z = \frac{ \^ p - p }{SE}\)

=>       \(z = \frac{ 0.65 - 0.85 }{0.0461}\)

=>       \(z = -4.34\)

Answer:

Point B is to the right of point A

Step-by-step explanation:

On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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Answer:x=6

Step-by-step explanation:

x+5x=36

Step 1: Simplify both sides of the equation.

x+5x=36

(x+5x)=36(Combine Like Terms)

6x=36

6x=36

Step 2: Divide both sides by 6.

\(\frac{6x}{6} =\frac{36}{6}\)

x=6

Answer:

x=6

Answer:

- 2.7 < - 2.2

Step-by-step explanation:

Answer:

That is an indeterminant question, as we do not know the amount of fax time used of each machine and it certainly won't be equal. However, based on whats given you could say

Step-by-step explanation:

5 hrs. use / 0.25 service time = 20 / 3 machines = 6.67. Probability of needing to service 2 machines simultaneously is: 1/6.67 = 15%.

The Probability of needing to service 2 machines simultaneously is 15%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The school of business has 3 fax machines.

and, It takes him 15 minutes to replace the toner cartridge.

So, 5 hours / 0.25 service time

= 20 / 3 machines

= 6.67.

Then, the Probability of needing to service 2 machines simultaneously

= 1/6.67

= 15%.

Hence, the probability is 15%.

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

366.50

Step-by-step explanation:

hope this helps if doesn't help than srry

Answer:

Step-by-step explanation:

Total:

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

3x3x13 and 2 x 2 x 2 x 2 x 2 x 5 x 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

5/8 = 0.625

0.625 x 176 = 110

Answer:

he or she is right its B

Step-by-step explanation: i passed

Therefore , the solution of the given problem of quadratic equation comes out to be quadratic equation., cubic equation and leading coefficient is 1.

For one-variable equations, the quadratic result x = ax2 + b + c=0 is used in regression modeling. The First Thesis basic Algebra asserts that there is just one solution because this equation has a second order. Both straightforward and complex solutions can be found. A "quadratic solution," as the name suggests, consists of four variables. This suggests that there might be a single squared word.

Here,

Given :

=> x² + 2x -5 its degree is 2

hence quadratic equation.

=> 4x³ -8 its degree is 3

hence cubic equation

=> 2x⁴ - 7x² -5x + 1 its degree is 4

hence its an degree 4 equation.

leading coefficient of:

=> x³ + 5x² + 28 -x

leading coeffcient is = 1

Therefore , the solution of the given problem of quadratic equation comes out to be quadratic equation., cubic equation and leading coefficient is 1.

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To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

First, find f(x) when x = 2

Plug in 2 as x in the function:

f(x) = -(x - 2)​

f(2) = -(2 - 2)

f(2) = -(0)

f(2) = 0

Next, find f(x) when x = 6. Plug in 6 as x in the function:

f(x) = -(x - 2)​

f(6) = -(6 - 2)

f(6) = -(4)

f(6) = -4

So, f(2) = 0 and f(6) = -4

The fountain will occupy a fraction of 50/173 of the Total area of the courtyard.

Let A be the area of the courtyard and F be the area of the fountain.

We know that the area of the stone-covered part of the courtyard is 246 square feet.

So, the area of the whole courtyard is A = 246 + F square feet.

The fraction of the area of the courtyard occupied by the fountain is given by:

F / A = F / (246 + F)

We can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:

F / A = F / (246 + F) * (1 / (246 + F))

F / A = F / (246 * (246 + F))

F / A = 1 / (246 / F + 1)

We don't know F yet, but we can use the fact that the fountain is rectangular to set up an equation relating the length and width of the fountain:

F = L * W

where L is the length of the fountain and W is the width of the fountain.

We also know that the perimeter of the fountain is 50 feet:

2L + 2W = 50

Simplifying this equation, we get:

L + W = 25

Solving for one variable in terms of the other, we get:

L = 25 - W

Substituting this expression for L into the equation for F, we get:

F = (25 - W) * W

Expanding this expression, we get:

F = 25W - W^2

We also know that the cost of the fountain is $600, which includes installation. So, we can set up another equation relating the cost of the fountain to its dimensions:

1.5LW = 600

Substituting 25 - W for L, we get:

1.5(25 - W)W = 600

Expanding and simplifying this equation, we get:

W^2 - 25W + 400 = 0

Solving this quadratic equation, we get:

W = 20 or W = 5

We reject the solution W = 5 because it implies a negative length for the fountain, which is not physically possible. Therefore, the width of the fountain is W = 20 feet and its length is L = 25 - W = 5 feet.

The area of the fountain is therefore:

F = L * W = 5 * 20 = 100 square feet

The fraction of the area of the courtyard occupied by the fountain is

F / A = 100 / (246 + 100) = 100 / 346 = 50 / 173

So, the fountain will occupy a fraction of 50/173 of the total area of the courtyard.

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

A. 0.9510

B. 0.0480

C. 0.0490

D. No, I would not feel comfortable accepting the shipment if one item was found defective, because the probability is quite small to obtain 1 or more defective items.

Answer:

The first choice.

Step-by-step explanation:

6 * 10^8 /  1.5 * 10^-4

= (6/1.5)  * (10^(8 - (-4))

= 4 * 10^12.

Answer:

4 x 1012

Step-by-step explanation:

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

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Does the data give evidence of an association between scoring at least 21 points and the football team winning the game?

Ans. There is a weak, negative association.

A weak, negative association refers to a relationship between two variables where an increase in one variable is associated with a decrease in the other variable, but the association is not strong.

In statistics, the strength of the association between two variables is measured by a correlation coefficient.

A correlation coefficient ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.

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