Write and solve an equation to find the value of x and the missing angle measures

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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The correct statement regarding the end behavior of the functions is given by:

As x→∞, f (x)→∞ and g(x)→0.

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function f(x), the limits are given as follows:

For function g(x), the limit is given as follows, as it is not defined for negative values:

\(\lim_{x \rightarrow \infty} f(x) = 0\).

Hence the correct statement is:

As x→∞, f (x)→∞ and g(x)→0.

As it considers both positive infinity and negative infinity just as infinity.

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Answer:

The mean of the sampling distribution of the sample proportions is the same as the population proportion, which is 0.67.

The standard deviation of the sampling distribution of the sample proportions can be calculated using the formula:

σp = sqrt [p * (1 - p) / n]

where p is the population proportion (0.67), n is the sample size (64), and σp is the standard deviation of the sampling distribution of the sample proportions.

Plugging in the values, we get:

σp = sqrt [0.67 * (1 - 0.67) / 64]

= sqrt [0.2211 / 64]

= 0.061

Therefore, the standard deviation of the sampling distribution of the sample proportions is 0.061.

Answer: B

Step-by-step explanation: if you look from both sides u can see it adds up + i got it right on edg:)

The statement describes the behavior of the function around the vertical asymptotes is B.

We have given the graph,

We have to determine which statement describes the behavior of the function around the vertical asymptotes.

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

If you look from both sides of the graphs you can see it adds upward.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer: 15y+50=x

Step-by-step explanation:

The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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Answer:

237

Step-by-step explanation:

This is a system of equations.

The theater sold 364 adult and child tickets, so a + c = 364

They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.

Let's line them up

a  +  c = 364

6a + 4c = 1930

Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:

-4a - 4c = -1456

6a + 4c = 1930            Add them together

----------------------

2a = 474                      Divide by 2 to solve for a

a = 237

There were 237 adult tickets sold

Answer:

b. arithmetic

Step-by-step explanation:

ANSWER

Arithmetic Sequence

EXPLANATION

The given sequence is

3,11,19,27,35.....

The first term of this sequence is 3

Let us check to see if there is a constant difference among the terms.

11-3 = 8

19-11=8

27-19=8

35-27= 8

Since there is a constant difference, d=8, the sequence is an arithmetic sequence

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

The difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.

A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a broader range.

The standard deviation is a measure of variance or dispersion in statistics.

So, the sampling distribution's standard deviation is calculated as follows:

\(\begin{aligned}& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=\sqrt{\frac{0.37 \times(1-0.37)}{28}+\frac{0.89 \times(1-0.89)}{100}} \\& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=0.096\end{aligned}\)

The actual proportional difference between those who believe five minutes is not enough time for pupils to switch courses and those who believe this is generally 0.096.

Therefore, the difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.

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Correct question:

n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let p hat Subscript Upper F and p hat Subscript Upper S be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. Which of the following is the correct shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?

The required probability of selecting red candy from a bag is 2/7.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Number of red candies in bag = 4,

Number of green candies in bag = 3,

And number of yellow candies in bag = 7.

Total number of candies in bag = 4 + 3 + 7 = 14

The probability of selecting red candy = \(\frac{^4 C_1}{^{14}C_1}\) = = 4 / 14 = 2 / 7.

The probability of selecting red candy is 2/7.                                                                

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Answer:

x= 8.00 Interest rate on $14000

y= 7.50 Interest rate on $7000

Step-by-step explanation:

Let interest rate of $14000 be x%

and Interest rate for $7000 be y %

According to the first condition

14000 * x% - 7000 * y% = 595

multiply by 100

14000x-7000y = 59500

/700

20x-10y=85.................(1)

II condition

x%=y%+0.5%

x=y+0.5

x-y=0.5..................................(2)

solve (1) & (2)

20 x -10 y = 85 .............1

Total value

1 x -1 y = 0.50 .............2

Eliminate y

multiply (1)by 1

Multiply (2) by -10

20.00 x -10.00 y = 85.00

-10.00 x + 10.00 y = -5.00

Add the two equations

10.00 x = 80.00

/ 10.00

x = 8.00

plug value of x in (1)

20.00 x -10.00 y = 85.00

160.00 -10.00 y = 85.00

-10.00 y = 85.00 -160.00

-10.00 y = -75.00

y = 7.50

x= 8.00 Interest rate on $14000

y= 7.50 Interest rate on $7000

Answer:

Step-by-step explanation:

3 2/5

Answer:

3 2/5

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

3(10x+4)=8(3x+6)

Step 1: Simplify both sides of the equation.

3(10x+4)=8(3x+6)

(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)

30x+12=24x+48

Step 2: Subtract 24x from both sides.

30x+12−24x=24x+48−24x

6x+12=48

Step 3: Subtract 12 from both sides.

6x+12−12=48−12

6x=36

Step 4: Divide both sides by 6.

6x = 36

Answer:

x=6

Answer:

Step-by-step explanation:

2x*2x=4x^2

2x*3=6x

Keep in mind 4x^2-6x

then next part:

3*2x=6x

3*3=9

6x-9

So totally

(4x^2-6x)-(6x-9)

Minus and minus is equal to +

(4x^2-12x+9)+2=45

4x^2-12x+11=45

-11 on both sides

4x^2-12x=34

X= -17/-2

Step-by-step explanation:

2x-3(2x-3)+2=45

2x-6x+9+2=45

-4x=45-11

x=34/-4=-17/2

Alias, which is a name given to the calculated field that is used to reference the expression in the query.

A calculated field can be included in a query by entering an alias, which is a name given to the calculated field, and then the expression in one of the columns in the field row. An alias should be descriptive of the calculated field and its purpose in the query. The expression entered should be written in the same syntax used to write conditions in the query. Calculated fields can be used to calculate values from multiple fields in the query or to manipulate data. It can also be used to perform mathematical calculations, such as adding, subtracting, multiplying, or dividing values. They are especially useful when data needs to be manipulated or summarized before it is used in the query. Calculated fields are a great way to optimize queries and make them more efficient by reducing the amount of data that needs to be retrieved.

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Answer:

Three groups of 3/4 fit in 11/4

Step-by-step explanation:

Three groups of 3/4 would be 9/4, any more groups of 3/4 will exceed 11/4

Answer:

3 groups

Step-by-step explanation:

3, 6, 9, 12. 12 > 11

12 is over 11, and counting by 3’s tells you how many groups of 3/4 are in 11/4. If you move the fraction away for a minute it gets easier!

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Since the angles ∠P and ∠Q are complementary, then:

Since ∠P is 40º greater than ∠Q, then:

Replace this expression for ∠P in the first equation and solve for ∠Q:

Since ∠P is 40º greater than ∠Q, then ∠P=65º.

Therefore, the measures of the angles ∠P and ∠Q are:

The scenario that will bring about less interest will be Borrowing $1750 for six months at a simple interest rate of 7%.

It should be noted that the simple Interest is calculated by using the formula thus:

= Principal × Rate × Time

Borrowing $1750 for six months at a simple interest rate of 7%. The simple interest will be:

= $1750 × 7% × 6/12

= $61.25

Borrowing $1750 for five months at a simple interest rate of 9%. The simple Interest will be:

= $1750 × 9% × 5/12

= $65.64

Therefore, Borrowing $1750 for six months at a simple interest rate of 7% has less simple interest.

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Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

We know 2 cups = 1 pint

Let's convert the pints of milk Baily has to cups of milk.

For Recipe A, she uses 2 1/2 cup

For Recipe B, she uses 1 1/2 cup

That's a total of:

So, she has remaining:

9 cups - 4 cups = 5 cups

We want this answer in pints. So, to go from cups to pints, we divide by 2, so:

Answer

Answer:

Part 1:

Yes, the side lengths form a right triangle.

Part 2:

Option d 37.1 cm

Explanation:

We need to use the pythagorean theorem.

In part 1, if the 3 side lengths are a right triangle, then, they must verify:

By the theorem. Then:

They're equal, then the lengths correspond to a right triangle.

For part 2, we need to use again the theorem. In this case: