an electrician worked 28 hours a week for 26 weeks. If his hourly wage was $25, how much did he earn during this time period

Answer:

Option D

Step-by-step explanation:

See the letters in the word deadline.

We have d and e repeated twice , and a,l,i,n once.

There are in total 8 letters

These 8 letters can be arranged in 8x7x6...1 = 8! ways

But since there are repititions of letters, we have 2! x 2! times repeated letters.

Hence we have to divide by 2!x2!

No of ways = [tex]\frac{8!}{2!*2!}[/tex]

Option D is right

m = [tex]\frac{1}{2}[/tex],   (x₁ , y₁) = (-2, -4)

y - y₁ = m(x - x₁)

y -(-4) = [tex]\frac{1}{2}[/tex](x - (-2))

y + 4 = [tex]\frac{1}{2}[/tex](x +2)

y + 4 = [tex]\frac{1}{2}x[/tex] + 1

     y = [tex]\frac{1}{2}x[/tex] - 3

Answer: A

For this case we have:

We define the following variable

x : Speed of the car in South direction

By definition, we know that:

[tex]Distance = Speed * Time[/tex]

For the car in north direction:

[tex]D1 = V1 * T1\\D1 = 50mph * 3h\\D1 = 150 miles[/tex]

For the car in south direction:

[tex]D2 = V2 * T2\\D2 = x * 3\\D2 = 3x[/tex]

The distance between both cars, after 3 hours, is:

[tex]D = D1 + D2[/tex]

So, we have:

[tex]345 = 150 + 3x[/tex]

Clearing x;

[tex]3x = 345-150\\3x = 195\\x = 65[/tex]

Thus, the speed of the car in the south direction is [tex]x = 65mph[/tex]

Answer:

Option B

Answer: B. 65 MPH

Step-by-step explanation:

(A) Bella's TV ratio of sides: 36"/27" = 1.333...

Lenny's: 52"/29.25" = 1.777...

Bella's and Lenny's TVs are NOT similar - their side ratios are different. Bella's is 4:3 while Lenny's is close to 16:9.

(B) Bella's TV has an exact ratio of 4:3 (36/27=4/3) and so is the older type.

Lenny's TV has a ratio of 52"/29.25". Divide both 52 and 29.25 by 3.25 to get 16/9, or 16:9. So Lenny's is the newer type.

Answer:

I think the answer is false I am not A 100%sure but most likely false

Step-by-step explanation:

we know that

f(3) is the value of the function when x is equal to 3

so

For x=3

see in the graph

f(3)=6

see the attached figure

therefore

the answer is

f(3)=6

According to the graph in the problem, f(3) = 6

In the graph we have curve and line. we look out for domain of 3

The domain of 3 is the point on the graph where x axis is 3. At this point we trace to the graph and find the corresponding value on the y axis

This gives the solution of the graph

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A- Strong Positive

Hope this helps!

Answer:

A- Strong Positive

Hope this helps!

Step-by-step explanation:

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.

We know both data, then we perform the operation:

48 feet /6.14 inches = 7.81 feet / inches

Therefore the correct answer is option D. 1″ = 7.81′

For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.

Answer:

A. He captured Fort Duquesne.

Step-by-step explanation:

General Edward Braddock was fatally injured in the battle field and died of wounds. He insisted upon using open field tactics which turned out to be very fatal leading to the death of 1000 soldiers. He did ignore the early warnings of his aides regarding his strategy.

A British force led by General Edward Braddock, moving to take Fort Duquesne, was defeated by a force of French and Canadian troops under Captain Daniel Liénard de Beaujeu with its American Indian allies.

Consequently, he failed to capture Fort Duquesne. So statement A is not true.

Hey there! The correct answer is D.1 the reason is because the number of the data is plotted incorrectly.

Answer:

z-score will be:  7.741....  and it will be unusual.

Step-by-step explanation:

Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit.

So here,  [tex]\mu= 98.20[/tex] and [tex]\sigma= 0.62[/tex]

Formula for z-score is:   [tex]z= \frac{X-\mu}{\sigma}[/tex]

Thus, the z-score for 103.00 degrees Fahrenheit will be.......

[tex]z(X=103.00)= \frac{103.00-98.20}{0.62}=7.741...[/tex]

As, here the z-score is more than 2 standard deviations above the mean, so 103.00 degrees Fahrenheit is unusual for human body temperature.

The correct answer is that the focus is, (0,−2)

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

[tex]-\frac{1}{4}(y+2)^2=(x-1)[/tex]

Multiply both the sides by -4.

[tex](y+2)^2=-4(x-1)[/tex]            .... (1)

Where, (h,k) is vertex and (h+p,k) is focus.

The standard form of a parabola is

[tex](y-k)^2=4p(x-h)[/tex]              ..... (2)

From (1) and (2), we get

[tex]k=-2,h=1,4p=-4\Rightarrow p=-1[/tex]

The focus of the parabola is

[tex](h+p,k)=(1-1,-2)=(0,-2)[/tex]

The focus of the given parabola is (0,-2). Therefore the correct option is C.

[tex]f(x)=x^4-2x^3+2x-1=x^4-x^3-x^3+x+x-1\\\\=x^3(x-1)-x(x^2-1)+1(x-1)\\\\=x^3(x-1)-x(x^2-1^2)+1(x-1)\\\\=x^3(x-1)-x(x+1)(x-1)+1(x-1)\\\\=x^3(x-1)+(x-1)(-x(x+1)+1)\\\\=(x-1)(x^3-x(x+1)+1)\\\\=(x-1)(x^3-x^2-x+1)\\\\=(x-1)[x^2(x-1)-1(x-1)]\\\\=(x-1)(x-1)(x^2-1)\\\\=(x-1)(x-1)(x^2-1^2)\\\\=(x-1)(x-1)(x-1)(x+1)[/tex]

[tex]Used:\\\\a^2-b^2=(a-b)(a+b)[/tex]

3x+4y=12

subtract 3x

4y=12-3x

divide by 4

y=3x/4+3

The equation solved for y is y = (-3/4)x -3.

Two or more expressions with an equal sign are defined as an equation.

The given equation is 3x + 4y = 12.

3x + 4y = 12

4y = -3x - 12

y = (-3/4)x -3

Hence, the equation solved for y is y = (-3/4)x -3.

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Answer: Neither

The function is not even because it doesn't have y axis symmetry. In other words, reflecting it over the vertical y axis means it doesn't line up with itself. The left half is different from the right half.

The function isn't odd either. Why not? Because rotating it 180 degrees around the origin has the function curve looking completely different. A point like (3,6) will rotate to (-3,-6) which is not on the orange curve. This is just one counter-example as to why the function is not odd.

In mathematics, a function is classified as Odd or Even based on its symmetry. An Even function has symmetry about the y-axis while an Odd function has rotational symmetry. A function could also be neither even nor odd if it doesn't meet these criteria.

In mathematical terms, a function can be classified as Even if it meets the criteria of y(x) = y(-x), meaning it has symmetry about the y-axis. A function is classified as Odd if it meets the criteria of y(x) = -y(-x), meaning it is the mirror image of itself about the origin, or it has rotational symmetry.

Let's take some examples: even function is the square function x², and an odd function is the cubic function x³. The combination results could vary: an even function times an even function results in an even function, an odd function times an odd function results in an even function, whereas an odd function times an even function results in an odd function.

However, it's important to note that a function could also be Neither even nor odd. This happens if the function does not meet any of the above-mentioned criteria for even or odd functions.

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Final answer:

To find the original price of a lamp that costs £65 after a 30% increase, divide £65 by 1.3 to obtain the original price, which is £50.

Explanation:

To calculate the original price of the lamp before the 30% price increase, we must consider the final price of £65 as being 130% of the original price since the increase is an addition to the original 100%. To find the original price (100%), we divide the final price by 130% (which is 1.3 in decimal form) and then multiply by 100% (which is represented as 1 in decimal form).

Here's the method in steps:

Let's do the calculation:

£65 ÷ 1.3 = £50

Therefore, the original price of the lamp was £50.

Answer:

1) m∠A=60°

2) [tex]BK=3\sqrt{3}[/tex]

3) The area of ABCD is 62.35

Step-by-step explanation:

1) - You can calculate the angle m∠A as following:

[tex]cos^{-1}(\alpha })=\frac{adjacent}{hypotenuse}\\adjacent=3\\hypotenuse=6\\[/tex]

- Substitute values and solve for the angle. Let's call the angle m∠A "[tex]\alpha[/tex]"

[tex]cos^{-1}(\alpha )=\frac{3}{6}\\ \alpha =60[/tex]

2) Apply the Pythagorean Theorem to find BK:

[tex]BK=\sqrt{6^{2}-3^{2}}=3\sqrt{3}[/tex]

3) - If you analize the figure, you can see that the triangle ABD and the triangle BCD are the same triangle, both are equal, therefore both have the same area.

- Then, you can calculate the area of ABD and multiply it by 2 to calculate the area of ABCD. The area of a triangle is:

[tex]Area=\frac{(base)(height)}{2}[/tex]

- The area ABD will be the sum of the area of the triangle ABK and the area of the triangle KBD.

- First, you must calculate the angle m∠D using the triangle ABD, which is a right triangle. The sum of the interior angles of a triangle is 180°. You know the angles m∠A (60°) and m∠B (90°), therefore:

[tex]60+90+D=180\\D=30[/tex]

m∠D=30°

- Now, you can calculate KD:

[tex]tan(30)=\frac{3\sqrt{3}}{KD}\\KD=9[/tex]

- The area of ABCD is:

[tex]A_{ABCD}=2(A_{ABK}+A_{KBD} )[/tex]

[tex]A_{ABCD}=2(\frac{(3)(3\sqrt{3})}{2}+\frac{(9)3\sqrt{3}}{2})\\A_{ABCD}=62.35[/tex]

Answer:

9.68E5

Step-by-step explanation:

Answer:

She will checked each account on Tuesday at 2 pm.

Step-by-step explanation:

Consider the provided information.

Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours.

In order to solve this first find the LCM of both numbers.

2 = 2×1

24 = 2×2×2×3

The LCM of 2 and 24 is 24.

Thus, she will check each account at the same time after 24 hours.

It is given that she checked each account on Monday at 2pm.

That means after 24 hours of Monday 2 pm she will again check each account at the same time.

Hence, she will checked each account on Tuesday at 2 pm.

33%

Percentage = 49/149 * 100

                   = 32.88%

Round the answer:

                            = 33%

Answer:

-1/2

Step-by-step explanation:

-4 x 10= -40

-5 x 16= -80

-40 is half of -80, so the fraction would be -1/2

Hope this helps! <3

The product of the given expression of a fraction is -1/2.

It is required to find the product.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given:

The product of the given expression of fractions in simplified form.

According to given question we have,

[tex]\frac{-4}{5} *\frac{10}{16} \\\\=\frac{-40}{80} \\\\=\frac{-1}{2}[/tex]

so, the fraction would be -1/2.

Therefore, the product of the given expression of a fraction is -1/2.

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E. n = 3

N. x = -6

A. x = 4

H. t = 10

E. v = -5

I. x = -8

T. y = 2

A. m = -16

Y. k = 7

S. x = -1

T. d = -12

F. u = 29

C. y = 1

E. 20n - 28 =10n+2

10n= 30

n=3

N. 9x+27 =4x-3

5x = -30

x= -6

A.   24-16x =x-11x

     24 = 6x

x= 4

H .  3t + 16t-48= 2+14t

5t =50

t= 10

E.  2v+18= 16 -4v -28

6v  = -30

v=-5

I.  4x-9 +3x=8x-1

x=8

T.  24+12y =10y+40

2y =16

y=8

[tex]a_1=4\\\\a_2=4+6=10\\\\a_3=10+6=16\\\\a_n=a_{n-1}+6,\ a_1=4[/tex]

[tex]\frac{w}{xy} = \frac{-6}{-3(4)} = \frac{-6}{-12} = \frac{1}{2}[/tex]

Answer: [tex]\frac{1}{2}[/tex]

It's b

Hope I'm right

If minivans and cars were sold at a 3:5 ratio each day and there were 12 minivans sold yesterday they would have sold 20 cars.

You can find this by dividing 12(the number of minivans sold) by 3(the ratio of vans v.s. cars), which equals 4. To find the amount of cars sold, use the same method, only multiply with by the ration of cars. 5*4 = 20