Divide:
35x³-25x4y³/5x²y²

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

Answer:

Area of parallelogram:

8 × 5 = 40 square centimeters

Perimeter of parallelogram:

2(8 + 6) = 2 × 14 = 28 centimeters

Length of wood Samuel needs to build a fence = 346 feet

Length of each piece of wood = 15 feet

Number of wood pieces he will have with him :-

\( = \frac{346}{15} \)

Samuel will need 23 pieces of wood .

Length of wood Theresa needs to build a fence :-

= 346 × 2

= 692 feet wood

Number of wood pieces Theresa will need :-

\( =\frac{692}{15} \)

\( = 42 \: pieces \: of \: wood\)

Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

Step-by-step explanation:

First find the surface area of the clyinder and find the area circles and subtract

Then find the surface area of a cone, remove the circle area and double it.

Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

251.32741 - 50.2 - 50.2

Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734

113.09734 - 50.2 - 50.2

Total: 12.69734 + 150.92741 = 163.62475

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Answer:

61

Step-by-step explanation:

he read first 74 and need to

= 74-30

=44

Answer:

17/3

3(n+2)+3=2(3n-4)

3n+6+3=6n-8

17=3n

n=17/3

Answer:

n = 17/3

Explained...

3(n+2)+3 = 2(3n-4)

3n+6+3 = 6n-8

3n+9 = 6n-8

9+8 = 6n- 3n

17 = 3n

3n = 17

n = 17/3

Pythagoras property geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Example :

\( \red{ \star} \: h^2 = b^2 + p^2\)

Answer:

a_n = 47 - 8n

Step-by-step explanation:

a_1 = 39

a_2 = 31

a_3 = 23

31 - 39 = -8

23 - 31 = -8

This is an arithmetic sequence with constant difference -8.

a_1 = 39

a_2 = 39 - 8

a_3 = 39 - 8 - 8 = 39 - 2(8)

a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)

...

a_n = 39 - (n - 1)(8)

a_n = 39 - 8(n - 1)

a_n = 39 - 8n + 8

a_n = 47 - 8n

Answer:

\(a_n=47-8n\)

Step-by-step explanation:

Given sequence:

Calculate the differences between the terms:

\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)

As the differences are constant (the same), this is an arithmetic sequence with:

\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)

Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:

\(\implies a_n=39+(n-1)(-8)\)

\(\implies a_n=39-8n+8\)

\(\implies a_n=47-8n\)

Answer:

x = 28 y = 122

Step-by-step explanation:

Transversal Lines would be 112 and 4x

112 / 4 = 28

x = 28

y and 122 are alternate interior angles

so y = 122

hope this helps ^^

Answer:

BC = 4

Step-by-step explanation:

The diagram shows a circle with radius AE and chord BD.

Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.

This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.

The length of the radius is:

\(AE = 3 + 2 = 5\)

As AB is also the radius, AB = 5.

To find the length of BC, use Pythagoras Theorem:

\(AC^2+BC^2=AB^2\)

    \(3^2+BC^2=5^2\)

      \(9+BC^2=25\)

\(9+BC^2-9=25-9\)

           \(BC^2=16\)

        \(\sqrt{BC^2}=\sqrt{16}\)

            \(BC=4\)

Therefore, the length of line segment BC is 4.

Answer:

Given function: \(f(x)=(x-2)^2 (x+1) (x-4)\)

The factors give us the zeros (x-intercepts) of the graph.

To find the zeros, set the function to zero and solve for x:

\((x-2)^2 (x+1) (x-4)=0\)

Therefore,

\((x-2)^2=0\implies x-2=0 \implies x=2\)

\((x+1)=0\implies x=-1\)

\((x-4)=0 \implies x=4\)

So the zeros are at (2, 0)  (-1, 0) and (4, 0)

The multiplicity of a zero is the number of times the factor appears in the fully factored form of the polynomial, i.e. the exponent on the corresponding factor.

If the zero has an even multiplicity, the graph touches and bounces off the x-axis at that point.

If the zero has an odd multiplicity, the graph crosses the x-axis at that point.

To find the y-intercept, expand the function:

\(f(x)=x^4-7x^3+12x^2+4x-16\)

Set \(x = 0\) and solve:

\(f(0)=(0)^4-7(0)^3+12(0)^2+4(0)-16=-16\)

Therefore, the y-intercept is at (0, -16)

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

As the leading degree is 4 (even) and the leading coefficient is positive, the end behavior of the function is:

\(f(x) \rightarrow + \infty \textsf{ as } x \rightarrow - \infty\)

\(f(x) \rightarrow + \infty \textsf{ as } x \rightarrow + \infty\)

Answer:

675 devided bye 9 = 75

Step-by-step explanation:

Answer: 75 words per minute

Step-by-step explanation:

We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9   9/9
75:1 or 75 words per minute

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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Answer:

A). The ratio of a circle's circumference to its diameter

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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Answer:Note:  This symbol ≈ means approximately.

629 ≈ 600

215 ≈ 200

111 ≈ 100

588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.

Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS

Answer:

okay if nathan has 380 wins in 2 days that would mean debbie has 190 wins per day

Step-by-step explanation:

380 divide 2=190

Answer:

14x 2 +9

Step-by-step explanation:

Answer:$15.40

Step-by-step explanation:

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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The answers are as follows:

1. Skewed to the right.

2. The center is about 2 or 3 servings of fruit.

3. From zero o eight servings.

4. No outliers

5. About 12%.

6. 26 girls

About Pennsylvania.

Although the original European immigrants were Swedes and Dutch, William Penn, a Quaker, gave the state of Pennsylvania its name in honor of his father by combining the name Penn with the Latin word Sylvania, which means "woodlands," to create "Penn's woodlands." Pennsylvania, also known as the "Keystone State," is one of the original 13 colonies (it entered the Union in 1787). The state is now dominated by two large cities: Pittsburgh, a bustling inland river port, and Philadelphia, the city of the Liberty Bell, Constitution Hall, and a vibrant metropolitan area. The Amish are a group of people who don't utilize technology and live in the Pennsylvania countryside. The ruffed grouse is the state bird and Harrisburg is home to it.

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The following question be maybe like:

We all know that fruit is good for us. Many of us do not eat enough. The figure provided is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls from a study in Pennsylvania.

Image given below:

1. Choose the term that best describes the shape of this distribution.

2. Provide the center of this distribution (Enter your answer as a whole number.)

3. Select the best description for the variability of this distribution.

4. Are there any outliers?

5. What percent of these girls ate six or more servings of fruit per day?

6. How many of these girls ate fewer than two servings of fruit per day?  

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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