propriate symbols and/or words in your submissionSolve for the indicated measure.5. R = 19°, ZB = 56°, find mZT.6. R = 19, ZB'S 56°, find mZS.7. R = 19°, ZB = 56°, find mZC.8. True or false?AABC = AZXY9. Are the two triangles congruent?Yes or no?10. Use the image below to complete the proof.Identify the parts that are congruent by the given reason in the proof.STATEMENTS REASONSAB = DC GivenAB || DC Given2.Alternate Interior Angles TheoremReflexive Property of CongruenceSAS Congruence Theorem3.4.

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?​.

Solution:

Let the function f(x) whose second derivative is:

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

that is:

EQUATION 2:

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

That is:

Solve for C1:

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

Then f(5) would be:

then the correct answer is:

The relation is decreasing by a factor of 2 each time, so:

Therefore:

Answer:

-191

We have to graph the function F(x) defined as:

We can graph it as:

To see the complete graph we have to show the horizontal axis from x = -30 to x = 30 and the vertical axis from y = -80 to y = 80.

Answer: Option B

The given line is x = 10, which is a vertical line. All vertical lines have the form x = k, where k is a real number.

So, a parallel line passing through (-8,1) would be x = -8.

Recalls that the formula for the volume of a pyramid is given by the product of the area of its base times the height, and all of that divided by 3

Then we start by calculating the area of the base:

Since the base is a rectangle of 3in by 5in, then its area is 15 square inches.

Now this area times the pyramid's height and divided by 3 gives:

Volume = AreaBase x Height / 3

Volume = 15 x 16 / 3 = 80 in^3 (eighty cubic inches)

Then, please just type the number 80 in the provided box (notice that the cubic inches unit is already written on the right of it.

Answer:

Explanation:

Here, we want to get the sum of the 58 terms in series

Mathematically, we have the formula to use as:

where a is the first term and L is the last term

The first term is when n is 1

We have this calculated as:

The last term is the 58th term which is:

We finally substitute these values into the initial equation

Thus, we have it that:

The equations are

The smallest negative number is the pivot column

so the smallest negative number is -3 and hence the pivot column is

3

5

-3

The row pivot hence = 5

so pivot will be (x= -3 and S = 5)

Sarah bought 8 first class tickets and she buy 2 coach ticket .

In the question ,

it is given that

total number of people including Sarah = 10 people .

let the number of first class ticket = f

let the number of coach tickets = c

So , the equation is f + c = 10

f = 10 - c

the cost for first class tickets = $240

the cost for "f" first class tickets = 240f

the cost for coach tickets = $1040

the cost for "c" coach tickets = 1040c

total budget is $4000  .

So , the equation is 240f + 1040c = 4000

On substituting f = 10 - c , we get

240(10 - c) + 1040c = 4000

2400 - 240c + 1040c = 4000

1040c - 240c = 4000 - 2400

800c = 1600

c = 1600/800

c = 2

and f = 10 - 2 = 8 .

Therefore , Sarah but 8 first class tickets and she buy 2 coach ticket .

Learn more about Equation here

https://brainly.com/question/13726586

#SPJ1

Using the normal distribution and the central limit theorem, the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs is:

[tex]P(3.5 \leq \bar{X} \leq 4.25) = 0.7482[/tex]

The z-score of a measure X of a variable that has mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of each review are given as follows:

[tex]\mu = 4, \sigma = 1.2[/tex]

For the sampling distribution of sample means of size 16, the standard error is given as follows:

[tex]s = \frac{1.2}{\sqrt{16}} = 0.3[/tex]

The probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs is the p-value of Z when X = 4.25 subtracted by the p-value of Z when X = 3.5, hence:

X = 4.25:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (4.25 - 4)/0.3

Z = 0.83.

Z = 0.83 has a p-value of 0.7967.

X = 3.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (3.5 - 4)/0.3

Z = -1.67.

Z = -1.67 has a p-value of 0.0475.

Hence the probability is:

0.7967 - 0.0485 = 0.7482.

The statement is:

[tex]P(3.5 \leq \bar{X} \leq 4.25)[/tex]

Learn more about the normal distribution and the central limit theorem at https://brainly.com/question/25800303

#SPJ1

therefore, the answer is 70.08

Explanation

Step 1

first multiply as if there is no decimal

Step 2

count the number of digits after the decimal in each factor.

Step 3

Put the same number of digits behind the decimal in the product

therefore, the answer is 70.08

I hope this helps you

SOLUTION

From the graph, the root of the equation is the point where the graph touches the x-axis

Hence the equation that models the graph becomes

Since the solution to the equation are x=-4 and x=0

Hence the equation has two real zeros

The minimum of g(x) is at the point

The minimum of g(x) is at x=-2

The vertex of g(x) is given by

Hence the vertex of g(x) is (-2,-4)

The domain of the function g(x) is the set of input values for which the function g(x) is real or define

Since there is no domain constrain for g(x), the domain of g(x) is

hence the domain of g(x) is (-∞,∞)

The decreasing function the y-value decreases as the x-value increases: For a function y=f(x): when x1 < x2 then f(x1) ≥ f(x2)

Hence g(x) decreasing over the interval (-∞,-2)

Therefore for the graph above the following apply

g(x) has two real zeros (option 2)

The minimum of g(x) is at x= - 2(option 3)

the domain of g(x) is (-∞,∞) (option 4)

g(x) decreasing over the interval (-∞,-2)(option 4)

Let:

Miguel made $17.15 profit from selling 7 custom t-shirts, therefore:

Therefore, the equation that models this relationship is:

According the the information given in the exercise, you know that the cost of the dinner was:

Where "d" is the cost of the dinner in dollars.

Convert from percentages to decimal numbers by dividing them by 100:

1. 6.25% tax in decimal for:

2. 18% tip in decimal form:

To find the amount in dollars of the tax and the the amount in dollars of the tip, multiply "d" by the decimals found above.

Knowing the above, let be "t" the total cost in dollars.

This is:

Therefore the answer is: The total cost is $93.1875

Let be "h" the number of hours Tori should plan to work on it.

You know that she writes an average of 175 per hour. This can be represented with this expresion:

You also know that there must be at least 1,600 words in the essay for her English class. Since she has 235 words written, you can set up the following inequality:

The symbol used in the inequality means "Greater than or equal to".

In order to solve it, you can follow these steps:

1. Subtract 235 from both sides of the inequality:

2. Divide both sides of the inequality by 175:

The answer is:

Since ABC is an isosceles triangle with sides AB=AC, then the angle ABC is the same as ACB, an it's equal to 57º.

Since all three internal angles should add up to 180º, then the angle BAC should have a measure of 180-2(57)=66º.

We are given the following graph:

The inverse of the graph is shown below:

Since 6.99 < 6.991 < 7.00, and the number 6.991 is nearer to 6.99 than to 7.00, then 6.991 rounded to two decimal places, is:

For a given exponential expression, the determined value is x=3,0,6.

Each exponential expression's x value is evaluated.

Therefore,

1. [tex]$ \sqrt{x^2+7}=4 \\[/tex]

[tex]&\left(x^2+7\right)=4^2 \\[/tex]

[tex]&\left(x^2+7\right)=16 \\[/tex]

simplifying the above equation, then we get

x² = 16 - 7 = 9

x = 3

2. [tex]$\sqrt[2]{1-x}=-1$[/tex]

(1 -x) = (-1)²

1 - x = 1

x = 0

3. [tex](x-2)^{\frac{1}{2}}=2 \\[/tex]

(x - 2) = 2²

x - 2 = 4

x = 6

The determined value is x=3,0,6 for a given exponential expression.

To learn more about exponential expression, refer to:

https://brainly.com/question/8844911

#SPJ1

$28 after 30% off

28 = regular price * (100 - 30)/100

28 = regular price * 70/100

28 = regular price *0.70

regular price = 28/0.70 = 40

Answer:

Regular price = $40

Substitute x = - 12 in each of the given equation, if the equation satisfy then tha x = -1 2

F) 1/2x + 22 = 20

1/2 ( -12) + 22 = 20

(-6) + 22 = 20

16 is not equal to 22

G) 15 -1/2x = 21

Substitute x = -12 in the expression :

15 - 1/2( -12) = 21

15 + 1/2(12) =21

15 + ( 6) = 21

21 = 21

Thus, The equation 15 - 1/2x = 21 is true for x = -12

H) 11 - 2x = 17

Susbstitute x = ( -12) in the equation :

11 - 2x = 17

11 - 2( -12) = 17

11 + 24 = 17

35 = 17

Since, 35 is not equal to 17

D) 3x - 19 = -17

SUsbtitute x = ( -12)

3( -12) - 19 = -17

-36 - 19 = -17

-36 = -17 + 19

-36 = 2

Since - 36 is not equal 2

Answer : G) 15 - 1/2x = 21

By distributive property, we distribute 3x, and multiply it to each term inside the binomial (7x+6) accounting for the sign.

This quadrilateral is square . It have same length of side.

Therefore,

From question the coordinates of A,B,C,D are given as ,

A = (-3, 1) B =  (-2, 3) C = (0, 4) D = (-1, 2)

We use distance formula :

Distance =  √(x2 -x1)²+(y2 - y1)²

AB = √(-2 + 3)²+(3 - 1)² = √(5)

BC = √(0+2)²+(4–3)² =  √5

CD = √(-1 –0)²+(2–4)² =√5

DA = √(-1 +3)²+(2–1)² =√5

We get the distance is √5 for all points, so the type of quadrilateral is square.

To learn more about quadrilaterals refer :

https://brainly.com/question/23935806

#SPJ13

The roots are those values that make a function or polynomial take a zero value. The roots are also the intersection points with the x-axis. In the case of a quadratic equation you can use the quadratic formula to find its roots:

So, in this case, you have

As you can see, this function only has one root, at x = 3.

You can see this in the graph of the function:

SOLUTION:

Case: Quadratics equation

Method:

Final answer:

x= 16

x= 26

The percentage of alcohol of a solution i is given by the quotient:

where v_i is the volume of alcohol in the solution i and V_i is the volume of the solution i.

From the statement of the problem we know that:

1) Solution A has 10% of alcohol, i.e.

2) Solution B has 60% of alcohol, i.e.

3) The volume of solution A is V_A = 200ml.

4) The resulting mixture must have a percentage of 40% of alcohol, so we have that:

5) The volume of the mixture v_M is equal to the sum of the volumes of alcohol in each solution:

6) The volume of the mixtureVv_M is equal to the sum of the volumes of each solution:

7) Replacing 5) and 6) in 4) we have:

8) Replacing 1) and 2) in 7) we have:

9) Replacing 3) in 8) we have:

Now we solve the last equation for V_B:

We must use 300ml of Solution B to have a 40% alcohol solution as the resulting mixture.

Answer: 300ml of Solution B.

Answer:

∠ UTV = 66°

Step-by-step explanation:

the central angle USV is twice the angle on the circle ∠ UTV , subtended on the same arc UV , that is

10x + 82 = 2(10x + 16) ← divide both sides by 2

5x + 41 = 10x + 16 ( subtract 5x from both sides )

41 = 5x + 16 ( subtract 16 from both sides )

25 = 5x ( divide both sides by 5 )

5 = x

Then

∠ UTV = 10x + 16 = 10(5) + 16 = 50 + 16 = 66°

We have that Linda's mean speed is 54 miles per hour. Since the total trip is 378 miles, we have the following rule of three:

therefore, we have:

Finally, we have that Linda should expect to drive 7 hours.

Here, we want to write an equivalent expression

To do this, we use one of the laws of indices

The law is as follows;