A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:150.00$

Step-by-step explanation:

The total amount that the person will have is $150.00

The total amount that the person had will be the addition of all the amount that he already had and those that he was given. This will be calculated thus:

$10.00 + $10.00 + $30.00 + $100.00 = $150.00

Therefore, the total amount that the person will have is $150.00

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Answer:

0.67

Step-by-step explanation:

The probability that the event will not happen is 1 - 0.33 and that is 0.67

We need to identify which property justifies the following statement:

This statement represents the distributive property of multiplication. The term outside the parenthesis multiplies both terms inside the parenthesis. The correct answer is D.

Answer:

13: 40

Step-by-step explanation:

as 650 ml is given

so 2l = 2000 ml

ratio = 650 / 2000

13/40

13:40

Answer: 2144

Step-by-step explanation:

I just took the test

The summation of this series is 5940 for n takes 0,1,2,3,4.

These functions use addition to sum up a series of numbers by solving the integer variable x from numeric constant, whose value is the sum of the each number in the sequence is summation.

For the given situation,

The series is ∑n = 132(4n+1)

Let us consider ∑n=4

So n takes the value, n=0,1,2,3,4.

⇒\(132(4(0)+1)+132(4(1)+1)+132(4(2)+1)+132(4(3)+1)+132(4(4)+1)\)

⇒ \(132+660+1188+1716+2244\)

⇒ \(5940\)

Hence we can conclude that the summation of this series is 5940 for n takes 0,1,2,3,4.

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Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

the slope is either -2/1 or -1/2

Step-by-step explanation:

hope this helped sorry i didnt know the y intercept but i think its 0

The value of x obtained using the inverse trigonometric ratios for tangent  is x ≈ 51.1°

The tangent of an angle, θ, tan(θ) in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the side opposite to the angle.

Mathematically; tan(θ) = Opposite/Adjacent

The details in the question includes;

The shape of the figure = A right triangle

The length of the side adjacent to the angle, ON x = 7.5

Length of the side opposite to the angle, NM x = 9.3

The measure of the angle x° can be found using the trigonometric ratio for tangent as follows;

tan(x) = NM/ON

Therefore;

tan(x) = 9.3/7.5

x° = arctan(9.3/7.5) ≈ 51.1°

x ≈ 51.1°

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Answer:

Step-by-step explanation:

x=6/5,−4

Decimal Form:

x=1.2,−4

Mixed Number Form:

x=1  1/5,−4

The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

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

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Answer:

C

Step-by-step explanation:

We want to integrate:

\(\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx\)

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

\(u=4x^5+15x+2\)

By differentiating both sides with respect to x:

\(\displaystyle \frac{du}{dx}=20x^4+15\)

We can "multiply" both sides by dx:

\(du=20x^4+15\,dx\)

And divide both sides by 5:

\(\displaystyle \frac{1}{5}\, du=4x^4+3\,dx\)

Rewriting our original integral yields:

\(\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)\)

Substitute:

\(\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)\)

Simplify:

\(\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du\)

This is a common integral:

\(\displaystyle =\frac{1}{5}\ln|u|\)

Back-substitute. Of course, we need the constant of integration:

\(\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C\)

Our answer is C.

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer: D) The linear model shows a strong fit to the data

The actual strength of the relationship is unknown unless we have the actual values of each data point (so we can compute the correlation coefficient r), but the residuals are randomly scattered about both above and below the horizontal axis. This means we have a fairly good linear fit. If all of the points were above the line, or all below the line, or all residuals fit a certain pattern (eg: parabola), then it wouldn't be a good linear fit.

\(\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

the question asks us to find the values of y.

the question can be solved as follows ~

\(\longrightarrow \: 5y {}^{2} - 17y = - 6\)

let's first convert the equation into its general formula , i.e. , ax² + bx + c = 0

\(\longrightarrow \: 5y {}^{2} - 17y + 6 = 0\)

using splitting the middle term , let's find out the factors of the given equation ~

\(\longrightarrow \: 5y {}^{2} - 15y - 2y + 6 = 0 \\ \\ \longrightarrow \: 5y \: (y - 3) - 2 \: (y - 3) = 0 \\ \\ \longrightarrow \: 5y - 2 = 0 \: \: \: or \: \: \: y - 3 = 0 \\ \\ \longrightarrow \:\boxed{ y = \frac{2}{5}} \: \: \: or \: \: \: \boxed{y = 3}\)

hope helpful ~

\( \: \: \: \: \: \: \: \: \: \: \: \: \purple\diamond{\boxed{\boxed{\boxed{\sf{{ \pink{ANSWER}}}}}}}\)

\(5y^2- 17y=-6\)

Move terms to the left side

\(5y^2- 17y=-6 \)

\(5y^2- 17y-(-6) = 0\)

Use the sum-product pattern

\(5y^2-17y+6=0\)

\(5y^2-2y-15y+6=0\)

Common factor from the two pairs

\((5y^2-2y)+(-15y+6) = 0\)

\(y(5y-2)-3(5y-2) = 0\)

Rewrite in factored form

\(y(5y-2)-3(5y-2) = 0\)

\((y-3)(5y-2) = 0\)

Create separate equations

\((y-3)(5y-2) = 0\)

\(y-3=0\)

\(5y-2=0\)

Solve :

Rearrange and isolate the variable to find each solution

\(y = 3\)

\(y = \frac{2}{5}\)

Answer:

Confederate

Step-by-step explanation:

During the time that led up to the conflict known as the Civil War of America, the major cause of tension was slavery. Southern plantation owners and farmers fiercely advocated slavery because they helped with the harvest of crops and the overall southern economy. The northerners, however, resisted slavery, saying it was immorally and inhumanely wrong.

At the culmination of this tension, many southern states, led by Jefferson Davis (who later became the "president" of the Confederate states), decided to secede from the Union (break away) and establish their own entity, which they called the "Confederate States of America".

7 (x + 2y + 3z)

Distribute 7

7x + 7 x 2y + 7 x 3z

Calculate

7x + 14y + 21z should be your answer.

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

Answer:

49.568

Step-by-step explanation:

Answer: The total amount the water change was -28 gallons by the end of the week OR The total amount the water changed decreased 28 gallons by the end of the week. Depending on how you want to word it.

Hope this helps!

Step-by-step explanation:

Create you equation:

x = the total amount the water changed

d = the amount of days

x = -4d

Insert the known information into the equation and solve:

x = -4d

x = -4(7)

x = -28

the firts -4x-2=12 look at the picture =-2

the second look at the picture

Answer:x=7,1

Step-by-step explanation:

Answer:

Mean = 18.8

Step-by-step explanation:

Mean = (Sum of all values)/(Number of values)

Mean = (12 + 15 + 18 + 23 + 26)/5

Mean = 94/5

Mean = 18.8

Answer:

18.8

Step-by-step explanation:

12+15+18+23+26=94 94/5 (5 is how many pair of numbers there are)=18.8

Domain={-5,4}

Range={-3,4}

Answer:

True, False, True, False, False (answered top to bottom)

Step-by-step explanation:

If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.

If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.

Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.

The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.

To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:

P(drawing two green cards) = 1 x 12/51

Simplifying this expression, we get:

P(drawing two green cards) = 12/51

Therefore, the probability of drawing two green cards is approximately 0.235.

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Answer:

average mean not sure please

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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