What is the remainder for the synthetic division problem?

Answer:

width = 14 , length = 42

Step-by-step explanation:

Here we have to find the width of the rectangle using the fact that length is 3 times the width and perimeter is given

Let the length of the rectangle = x

Hence the width of the rectangle = 3 x

The formula for the perimeter is

P=2(l+b)

Given P = 112

Hence

112=2(l+b)

l+b=56

substituting values of l and b in this

x+3x= 56

4x=56

x=14

Hence width = 14 cms

length = 3*14 = 42 cms

Answer:

9.179999999999999e+103

Answer:

C) 7,900

Step-by-step explanation:

Answer:

Step-by-step explanation:

a1 = 6

a2 = -1.2*a_(n-1)

a2 = -1.2*a_1

a2 = -1.2 * 6

a2 = -7.2

a3 = -1.2*a_(n-1)

a3 = -1.2*a_2

a3 = -1.2 * - 7.2

a3 = 8.64

a4 = -1.2 * a_3

a4 = -1.2 * 8.64

a4 = -10.368

Answer:  The correct option is (B) -10.368.

Step-by-step explanation:  Given that a sequence is defined b the following :

[tex]a_1=6,~~~a_n=-1.2a_{n-1}.[/tex]

We are to find the 4-th term.

To find the fourth term, we need to start from finding the first term.

If n = 2, then the second term is given by

[tex]a_2=-1.2\times a_1=-1.2\times 6=-7.2.[/tex]

If n = 3, then the third term is given by

[tex]a_3=-1.2\times a_2=-1.2\times (-7.2)=8.64.[/tex]

If n = 4, then the fourth term is given by

[tex]a_4=-1.2\times a_3=-1.2\times 8.64=-10.368.[/tex]

Thus, the fourth term of the given sequence is -10.368.

Option (B) is CORRECT.

Answer:

Step-by-step explanation:

we know that

The Domain of the function are all the values of x that can take the function

in this problem the domain is

The Range of the function are all the values of y that can take the function

in this problem the range is

therefore

{y | y = –7, –1, 0, 9}  baaaam

know my brain hurts i hope this helped because i really tried haha sorry if it doesnt

Answer:  [tex]y=\frac{1}{30}x+1[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

The slope of the line can be calculated with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Pick to  points of the given line. You can choose the point (60,3) and the point (30,2).

Then, substituting into the formula, you get:

 [tex]m=\frac{2-3}{30-60}=\frac{1}{30}[/tex]

You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:

[tex]b=1[/tex]

Substituting the slope and the y-intercept found into  [tex]y=mx+b[/tex], you get the equation of this line:

 [tex]y=\frac{1}{30}x+1[/tex]

Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.

Answer:

The equation of the given line is :y = 0.04x + 0.6.

Step-by-step explanation:

From the given data , we can select two coordinates to determine the equation of the given line:

Let the point be [tex](10,1),(60,3)[/tex]

The equation of the line will be determined by the help of point slope form:

Slope of the line = [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex](y-y_1)=m(x-x_1)[/tex]

The equation of the line is :

[tex]m=\frac{3-1}{60-10}=\frac{2}{50}=0.04[/tex]

[tex](y-1)=0.04(x-10)[/tex]

[tex]y-1=0.04x-0.4[/tex]

[tex]y=0.04x+0.6[/tex]

The equation of the given line is :y = 0.04x + 0.6.

The answer to your question is b.

Answer:

B

Step-by-step explanation:

I'm pretty sure that the shaded space represents all possible solutions, meaning that the X has to be greater than or equal to 2.

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Bag A:

White = 3

Total = 3 White + 2 Red = 5

Prob (white marble from A) = [tex]\frac{3}{5}[/tex]

Bag B:

White = 6

Total = 6 White + 3 Red = 9

Prob (white marble from B) = [tex]\frac{6}{9}[/tex]

Prob (white from Bag A and white from Bag B)

= Prob (white marble from A) x Prob (white marble from B)

= [tex]\frac{3}{5}[/tex] x [tex]\frac{6}{9}[/tex]

= [tex]\frac{2}{5}[/tex]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

The number of jar necessary to hold all buttons is 4 jars.

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given that

1 jar holds = 500 buttons

5 people = 330 buttons each

So,

Total buttons 5 people bring

=330*5

=1650 buttons

Now,

number of jars needed= total buttons/500

number of jars needed= 1650/500

number of jars needed= 3.3 jar

Hence, the number of jars needed is 4 jars

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The correct factorization of the trinomial 8x^2 + 10x+ 3 is option B that is (4x+3)(2x+1).

It means writing several factors usually of smaller or simpler objects of the same kind.

We have been given the following trinomial.

[tex]8x^{2} +10x+3[/tex]

We need 2 numbers in between which when multiplied gives 24 and when adds give 10. The required numbers are 6 and 4.

So,

[tex]8x^{2}[/tex]+6x+4x+3

2x(4x+3)+1(4x+3)

(2x+1)(4x+3)

Hence the required factorization is (2x+1)(4x+3).

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Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area...  We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

Answer:

y = $6

Step-by-step explanation:

In the image below, the table of your question is attached

Based on the information presented in the table.

1 ounce of oregano costs $4

Because there are 4 ounces, this means that

x = 4*($4) = $16

1 ounce of garlic powder $3

Because there are 2 ounces, this means that

y = 2*($3) = $6

Total cost of the ingredients  =  x+y = 22 $

Graph Function

  A         f(x) = x

  B        f(x) = x^2

  C         f(x) = x^3

  D         f(x) = √(x - 1)

  E          f(x) = 1/x

To match each graph with the function it represents, we need to consider the shape of the graph and the equation of the function.

Graph A: This graph is a straight line that passes through the origin and has a slope of 1.

This indicates that the function is linear and has the following equation:

f(x) = x

Graph B: This graph is a parabola that opens upwards and has its vertex at the origin.

This indicates that the function is quadratic and has the following equation:

f(x) = x^2

Graph C: This graph is a cubic function that opens upwards and has a point of inflection at the origin.

This indicates that the function has the following equation:

f(x) = x^3

Graph D: This graph is a square root function. It has a vertical asymptote at x = 1 and a horizontal asymptote at y = 1.

This indicates that the function has the following equation:

f(x) = √(x - 1)

Graph E: This graph is a reciprocal function. It has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.

This indicates that the function has the following equation:

f(x) = 1/x

Answer: It is a whole number.

Step-by-step explanation: As the square root of 882252554089 is equal to 939283, which has no decimal or fraction included, it is a whole number.

Answer:

B

Step-by-step explanation:

Answer: Option B) The y-intercept is 20. This is the cost of registration.

Given model is:  y = 15x + 20.

We compare this equation with y = mx + b.

So,

the slope = m = 15.

y-intercept = b = 20.

Given: The cost consist of a one-time registration fee. It means the fixed cost is the one-time registration fee. It will also be the y-intercept.

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Answer:

D

Step-by-step explanation:

Prism is the solid figure that has two parallel bases that are congruent polygons and rectangular faces joining the bases, i.e. option D.

A prism is a 3D figure with two parallel bases and two congruent bases. The bases, which also have two of the faces, can be any polygon and are congruent. The other faces are rectangles and joins bases. A prism is named according to the shape of its bases. i.e. Triangular prism, Rectangular prism, etc.

We have,

A solid figure with two parallel and congruent bases.

Now,

From the above mentioned definition,

i.e.

A prism is a 3D figure with two parallel bases and two congruent bases. The bases, which also have two of the faces, can be any polygon and are congruent. The other faces are rectangles and joins bases.

So,

It is clear that the given solid figure is of prism.

Hence, we can say that the Prism is the solid figure that has two parallel bases that are congruent polygons and rectangular faces joining the bases, i.e. option D.

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Answer:

y = 14x -30

Step-by-step explanation:

The slope intercept form is:

y = mx + b,

Slope intercept form is useful for finding the slope and y intercept of a line, hence why it is called "slope intercept" because it is easy to see the slope and the y intercept of a line in this form. Since the slope denoted by m, and y intercept denoted by b are clearly given.

y + 2 = 7(2x - 4)

Distribute 7 across the parentheses by multiplying x and 2x and 4 by 7.

y+2 = 14x - 28

subtract 2 from both sides. This cancels the 2 on the left and moves it to the right, while keeping the equation balanced.

y+2 -2 = 14x - 28 -2

y  = 14x - 30

y = 14x -30

As you can see our y = 14x -30 now looks like the point slope equation we had above. m = 14, and  b = -30. This means the line goes up 14 for every single unit you move to the right, and intersects the y axis at  (0, -30).

Please mark me brainliest.

Answer:

3.6 fl oz

Step-by-step explanation:

figure out the percentage of the gallon that was used in the original ratio, in this case 1 that was used in 1.5. thats 150%

so no multiply 2.4 by 1.5 to get 3.6

to check work divide both ratios and see if its the same number (i checked)

For 1.5 gallons of gasoline, you should add 3.6 fluid ounces of oil to maintain the required ratio of 2.4 fl oz of oil per gallon of gas.

To calculate how much oil is needed for 1.5 gallons of gasoline when the mixture requires 2.4 fl oz of oil per gallon of gasoline, one can use a simple proportion:

2.4 fl oz oil / 1 gallon of gas = x fl oz oil / 1.5 gallons of gas

Solve for x to find the amount of oil needed for 1.5 gallons of gas:

x = 2.4 fl oz oil * 1.5 gallons of gas

We can multiply 2.4 fl oz by 1.5 to get the amount of oil:

x = 3.6 fl oz oil

Therefore, you should add 3.6 fluid ounces of oil to your 1.5 gallons of gasoline to achieve the correct mixture.

paul and mary

peter and mary

peter and paul

Answer:

Peter and Neil

Step-by-step explanation:

Given rates of work:

Peter = 5 hours / room

Paul = 6 hours / room

Neil = 7.5 hours / room

Mary = 3.75 hours / room

Recall the formula for combined rate for two individuals A & B is given as

Combined rate = (A's rate x B's rate) / (A's rate + B's rate)

In our case , the combined rate is given to be 3 hours, so we must find a combination of rate A and rate B that will give us 3 hours.

If you try all the combinations in the above formula, we will find that if we substitute Peter's and Neil's rates into the formula, we will get exactly 3 hours.

Combined rate for Peter and Neil

= (Peter's rate x Neil's rate) / (Peter's rate + Neil's rate)

= (5 x 7.5) / (5+7.5) = 3 hours to complete 1 room

No other combination gives exactly 3 hours.

Answer: i believe its 3

Step-by-step explanation:

Answer:

The correct answer is second option

3

Step-by-step explanation:

From the figure we can see that, a circle.

The two lines from a point cut the circle.

To find the value of x

From the figure we can write, the products of parts of line segments are equal.

Therefore,

4 * 9 =  x * 12

x = (4 * 9)/12

 = 3

Therefore the correct answer s second option

x = 3

Answer:

O = 2 π n - π/2 for n element Z

Step-by-step explanation:

Solve for O:

sin(O) = -1

Hint: | Eliminate the sine from the left hand side.

Take the inverse sine of both sides:

Answer:  O = 2 π n - π/2 for n element Z

assuming you meant sin(θ) = -1, Check the picture below.

Answer:

[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]

Step-by-step explanation:

Move 3x to the other side, since 3x is being moved to the other side the sign will change from a positive to a negative

[tex]-13y = -3x+2[/tex]

Divide both sides by 13

[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]

Hey there! :)

3x - 13y = 2 ; solve for y.

In order to solve for y, we must isolate it by getting it onto its own side. We can do this by subtracting 3x from both sides.

-13y = -3x + 2

Then, divide both sides by -13.

-13y ÷ -13 = (-3x + 2) ÷ -13

Simplify.

y = 3/13x - 2/13

Therefore, [tex]y = \frac{3}{13}x- \frac{2}{13}[/tex]

Hope this helped! :)

Answer:

8

Step-by-step explanation:

Use the pythagorean theorem. The hypotenuse (c) is 10, and one of the sides, let's say (b), is 6. Therefore, we need to solve for a and plug and chug. Let's do that:

[tex]c^2 = a^2+b^2[/tex]

[tex]a = \sqrt{c^2-b^2}[/tex]

Now let's plug in what we know:

[tex]a = \sqrt{10^2-6^2} = \sqrt{64} = 8[/tex]

Therefore, a = x = 8

To create a stem-and-leaf plot, first, we need to organize the data into stems (tens digit) and leaves (ones digit). For the given data, we can organize it as follows:

Stem | Leaf

5 | 1 3 5 5 7 8 9

6 | 0 3 6 7 9

7 | 4

8 | 4 6

9 | 0 1 2 2 8

The data is then demonstrated by a stem-and-leaf plot as follows:

51, 53, 55, 55, 57, 58, 59, 60, 63, 66, 67, 69, 74, 84, 86, 90, 91, 92, 92, 98

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Answer:

Option B 3412

Step-by-step explanation:

we know that

step 1

75°+x=90° -----> by complementary angles

step 2

Solve for x

Subtract 75 both sides

75°-75°+x=90°-75°

step 3

x=15°

step 4

Verify

Substitute the value of x in the equation of the step 1

75°+15°=90°

90°=90° ----> is correct

therefore

The correct order is

3-4-1-2

Answer: 40%

Step-by-step explanation:

You can set up a ratio to help you solve the problem. See the paper attached. (:

The percentage of pastrami sold was 40 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Number of sandwiches sold in one day = 90

Number of pastrami in 90 sandwiches = 36

To calculate the percentage of pastrami in sandwiches , we divide the total number pastrami to the total number of sandwiches and multiply by 100

So , percentage of pastrami = ( 36 / 90 ) x 100 %

                                               = ( 4 / 10 ) x 100 %

                                               = 4 x 10 %

                                               = 40 %

Hence , The percentage of pastrami sold was 40 %

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Answer:

(f+g)(x)

Step-by-step explanation:

(f+g)(x)=

[tex] {x}^{2} - 2x + 6x + 4 = {x}^{2} + 4x + 4[/tex]

[tex](x + 2)(x + 2) = 0[/tex]

[tex](x + 2) = 0 \\ x = - 2[/tex]

Answer:

answer is 1/4 cup

Step-by-step explanation:

Answer:

Amount of cream in cups [tex]=\frac{1}{4}[/tex]

Step-by-step explanation:

Let x be the amount of cream in cups.

Amount of milk = 1 - x cups.

The milk contains 2% fat and cream contains 18% fat.

The mixture contains 6% fat, so we have

         [tex]1 \times \frac{6}{100}=x \times \frac{18}{100}+(1-x) \times \frac{2}{100}\\\\6=18x+2-2x\\\\16x=4\\\\x=\frac{1}{4}[/tex]

Amount of cream in cups [tex]=\frac{1}{4}[/tex]

Answer:

C. The number of pages in the assignment.

A  function is an expression that defines the relationship between two variables. The amount of time it takes to complete a reading assignment might be a function of the number of pages in the assignment. So, option C is correct.

A function is an expression, that states the relationship between the variables in that expression.

Ley m and n are two variables and are related to each other with a function, f(m) = n.

So, the variable m is called the independent variable and the variable n is called the dependent variable.

The given statement is "The amount of time it takes to complete a reading assignment might be a function of-"

From the options,

So, here the time is a dependent variable, and the number of pages in the assignment will be the independent variable.

Thus, option c is correct.

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