Jordan types in a constant rate of 40 words per minute the number of words typed, y , is a function of the number of minutes spent typing, x.

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

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The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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If Just before Henderson Laboratories opened for business. The totals that would appear in the firm’s fundamental accounting equation is $96,875

Using this formula

Assets = Liabilities + Owner’s Equity

Total Owners Equity = Assets - Liabilities

Where:

Assets:

Assets = Laboratory Equipment + Laboratory supplies+ Cash

Assets=$75,000 + $6,200 + $39,900

Asset= $121,100

Liabilities:

Liabilities= Loan Payable+ Accounts Payable

Liabilities = $14,500 + $9,725

Liabilities= $24,225

Let plug in the formula

Total Owners Equity = Assets - Liabilities

Total Owners Equity =$121,100 - $24,225

Total Owners Equity= $96,875

Therefore the totals that would appear in the firm’s fundamental accounting equation is $96,875.

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The complete question is:

Just before Henderson Laboratories opened for business, Eugene Henderson, the owner, had the following assets and liabilities. Cash $ 39,900 Laboratory equipment 75,000 Laboratory supplies 6,200 Loan payable 14,500 Accounts payable 9,725. Determine the totals that would appear in the firm’s fundamental accounting equation (Assets = Liabilities + Owner’s Equity).

Answer:

12x - 24y + 15

Step-by-step explanation:

The distributive property multiplies all of the terms by 3.

So:

3(4x) + 3(-8y) + 3(5) =

12x + (-24y) + 15 =

12x - 24y + 15

Answer:

228

Step-by-step explanation:

0.4% = 0.004

0.004 x 57000 = 228

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

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Sounds good?

Answer:

g = 18

Step-by-step explanation:

Which of the following does not describe slope? (4 points)



1. A line joining points

2. A constant rate of change

3. A proportional relationship--------> Not describe slope

4. A measure of change

​

Answer:78

Step-by-step explanation:

1300x0.06=78

The commission by the salesman on the jewelry is $78.

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.

Given that, a salesperson at a jewelry store earns a 6% commission. The worth of the jewelry is $1300

The commission on the jewelry =

6% of $1300

= 1300 × 6 / 100

= 13 × 6

= 78

Hence, he earned $78 as commission.

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Answer:

72

Step-by-step explanation:

Assuming that the right column is obtained by multiplying the value in the left column by 6, 12 times 6 is 72.

Answer:

72

Step-by-step explanation:

We can see that the numbers in the left column is being multiplied by 6 to obtain the numbers in the right column respectively

Therefore, C = 12 x 6

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = \((59 - \sqrt{1081})/2\) or \((59 + \sqrt{1081})/2\)

Then we could plug the answers in and find x because x = 59 - y

Answer:

Step-by-step explanation:

this is hard maybe ask your mom

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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Answer:

Measure of arc BC = 132°

Step-by-step explanation:

Measure of the central angle COD = 48°

Therefore, measure of arc AB = 48°

Since, segment AC is a diameter and central angle for a diameter is 180°.

Measure of major arc ABC = 180°

measure of arc AB + measure of arc BC = 180°

48° + measure of arc BC = 180°

Measure of arc BC = 180° - 48°

                                = 132°

Answer:

342 sprouts are planted outside.

Step-by-step explanation:

500 sprouts

500*0.10=50

500-50=450

450*0.20=90

450-90=360

360*0.05=18

360-18=342

Complete Question

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained.

Men. 43 patients had high blood pressure

Woman. 52 patients had high blood pressure.

Answer:

The  95% confidence interval is  

      \(- 0.1651 < p_m - p_f <0.0451\)

This mean that there is a 95 % confidence that the difference between the true proportions of male and  female that are hypertensive  is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive        

Step-by-step explanation:

From the question we are told that

    The  sample size for male is  \(n_1 = 150\)

    The  number of male that are hypertensive is  \(m = 42\)

    The  sample size of female is  \(n_2 = 150\)

     The  number of female that are hypertensive is \(q = 52\)

The proportion of male that are hypertensive is mathematically represented as

         \(\r p_m = \frac{43}{150}\)

         \(\r p_m = 0.287\)          

The proportion of female that are hypertensive is mathematically represented as

       \(p_f = \frac{52}{150}\)

      \(p_f = 0.347\)

From the question we are told that confidence level is 95%, hence the level of significance is mathematically represented as

       \(\alpha = 100 -95\)

      \(\alpha =5\%\)

     \(\alpha =0.05\)

Next we obtain the critical value of  \(\frac{ \alpha }{2}\) from  the normal distribution table, the value is  

           \(Z_{\frac{ \alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

          \(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p_m (1- \r p_m )}{n_1} + \frac{ \r p_f (1- \r p_f )}{n_2} }\)

substituting value

         \(E = 1.96 * \sqrt{\frac{ 0.287 (1- 0.287 )}{150} + \frac{ 0.347 (1- 0.347 )}{150} }\)

         \(E = 0.1051\)

The  95% confidence interval is mathematically represented as  

           \((\r p_m - \r p_f ) - E < p_m - p_f < (\r p_m - \r p_f ) + E\)

substituting values

          \(( 0.287 - 0.347 ) - 0.1051 < p_m - p_f <( 0.287 - 0.347 ) + 0.1051\)    

           \(- 0.1651 < p_m - p_f <0.0451\)

This mean that there is a 95 % confidence that the difference between the true proportion is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive.

Answer:

1432.25

Step-by-step explanation:

8.50 x 40 = 340

340 x  4 = 1360

half of 8.50 is 4.25

4.25 x 10 = 42.5

4.25 x 5 = 21.25

4.25 x 2 = 8.5

add

1360 + 42.5 + 21.25 + 8.5  = 1432.25

i hope i did my math right, good luck mate

The solutions to the trigonometric equation in this problem are given as follows:

Two angles are said to be complementary angles when the sum of their measures is of 90º.

For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.

Then the value of θ is obtained as follows:

2θ + θ = 90

3θ = 90

θ = 30º.

θ = π/6.

The equivalent angles, which are also solutions to the equation, are given as follows:

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Answer:

Step-by-step explanation:

Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

23x+250 and that would equal your total cost

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

D. x ≤ 5

Step-by-step explanation:

The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).

And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5