The length of a rectangle is 15 more than 3 times the width. The perimeter is 110. What is the area

Answer:

Is the A

Step-by-step explanation:

The correct option is option A i.e., [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex].

A polynomial expression [tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex] is given.

We have to find out which option is equivalent to the given expression.

What do you mean by the polynomial expressions ?

A polynomial expression is the algebraic expression that consist of variables and coefficients.  

As per the question ;

The given expression is ;

[tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex]

Let's solve this expression.

i.e.,

= [tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex]

= [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex]

So , the correct option is A.

Thus , the correct option is option A i.e., [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex].

To learn more about polynomial expressions click here ;

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Answer:

The distance from the boat to the foot of the lighthouse is 359.36 ft

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 24.

The whole situation is representing a right triangle (refer to figure)

Let  the distance from the boat to the foot of the lighthouse be x

We know that, angle of depression = angle of elevation

Then, using formula of height and distance,

tan 24° = 160 / x

x = 160 / tan 24°

x = 359.36

Hence,  the distance from the boat to the foot of the lighthouse is 359.36 ft

For more references on height and distance, click;

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Answer:

Given:

Andrew walked during a walkathon to raise money= 24 laps

Each lap= [tex]\frac{1}{4}[/tex] of a mile

Andrew's dad donated= $5.25 for every mile

Step-by-step explanation:

Total money donated by Andrew's dad=Andrew walked x each lap distance                                                           x donated money

                                                               =24 x [tex]\frac{1}{4}[/tex] x 1 x 5.25

                                                               =6 x  5.25

                                                               = $31.50

Answer:

[tex]x^4+x^2-12[/tex]

Step-by-step explanation:

We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:

[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]

Expanding this, we get:

[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].

Answer:

[tex]-21 < 109[/tex]

Step-by-step explanation:

Given

[tex]Savings = \$109[/tex]

[tex]Checking = -\$21[/tex]

Required

Represent as an inequality

On a number line -21 comes before 109 (from left to right)

This means that -21 is smaller/lesser than 109.

So, the inequality that compares the two account values is:

[tex]-21 < 109[/tex]

Answer:

Some Facts about lines (1) For non vertical line L, if L passes a point (x0,y0) with slope m, then an equation of line L is y − y0 = m(x − x0). (2) If a non vertical line L passes through distinct points (x1,y1) and x2(y2), then the slope of L is m = y2 − y1 x2 − x1 . x a + y b = 1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

C is 135'

A is 90'

B is 90'

D is 45'

E is 45'

F is 135'

Answer:

I'ma just take the free points, Give the other person a brainlest

Step-by-step explanation:

Answer:

Car B is travelling at the faster speed.

Step-by-step explanation:

Given that,

The distance covered by car A = 100 m

Time of car A, t = 5 s

The distance covered by car B = 100 m

Time of car B, t = 2 s

We need to find which one is travelling at the faster speed.

Speed = distance/time

For car A,

[tex]v_A=\dfrac{100\ m}{5\ s}\\\\v_A=20\ m/s[/tex]

For car B,

[tex]v_B=\dfrac{100\ m}{2\ s}\\\\v_B=50\ m/s[/tex]

So, car B is travelling at the faster speed.

Answer:

The answer is 7.4 × 10³ ( or 0.74 × 10⁴).

Step-by-step explanation:

The steps are :

(1.5 × 10⁴) - (7.6 × 10³)

= (15 × 10³) - (7.6 × 10³)

= (15 - 7.6) × 10³

= 7.4 × 10³

Answer:

30

Step-by-step explanation:

6*4+2*9/3

24+2*9/3

24+6

30

Answer:

35 Students

Step-by-step explanation:

So if 40% of the students like Baseball and that there are 14 students in the class room.

Another way to interpret this is that you can divide 14 by 40% to find the total amount.

This gets you: 14 divided by 0.40 = 35 Students

open notes and think about it

Answer:

Under couch

Step-by-step explanation:

Answer:

is D

Step-by-step explanation:

because it's the answer

Answer:

o

Step-by-step explanation:

scale factor= 0..........

Answer:

1. x-intercept = 3/-5 = -0.60000

 y-intercept = 3/1 = 3

2. x-intercept = 3/3 = 1

 y-intercept = 3/1 = 3

Step-by-step explanation:

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-5x-3  = 0 and calculate its properties

When y = 0 the value of x is 3/-5 Our line therefore "cuts" the x-axis at x=-0.60000

Answer:

-12

Step-by-step explanation:

f(-9) = 2/3(-9) + (-6)

f(-9) = -6 + (-6)

Answer:

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

=6x+3+2x+8

=6x+2x+3+8

=8x+11

Answer (this one's written in slope-intercept form):

[tex]y= \frac{3}{5}x -3[/tex]

Step-by-step explanation:

1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so  [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.

2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:

[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]

3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.

Answer:

5√5

Step-by-step explanation:

You can rewrite √75 as √(25 * 5) and since 25 is a perfect square, you can find the square root and take that outside of the square root. √25 = 5, so √75 is equal to 5√5, and that cannot be simplified furthermore.

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

Answer:

27 hours

Step-by-step explanation:

Just do the reverse. 65-11 = 54. 54 / 2 = 27.

Answer:

This is a controlled experiment.

Step-by-step explanation:

A controlled experiment is one in which all variables are kept constant except one, which is the independent variable. The samples are divided into the experimental and the control groups. The control group is the normal state of the condition being tested and would be compared to the experimental groups to check for changes.  

In the experiment above, the experimental group is given the new drug while the group that was administered the placebo is the control group. The two groups are compared after six months to check for changes.

Answer:

A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)

Step-by-step explanation:

A composite figure is formed by two or more shapes in contact.

Volume of a cube = [tex]l^{3}[/tex]

where l is the length of its sides.

Given that l = 2r, then;

volume of the cube = [tex](2r)^{3}[/tex]

                                 = 8[tex]r^{3}[/tex]

volume of the cube = 8[tex]r^{3}[/tex]

For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Also,

volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

So that,

volume of the composite figure = volume of the cube + volume of the hemisphere

                                                 = 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

                                                 = [tex]r^{3}[/tex](8 +  [tex]\frac{2}{3}[/tex][tex]\pi[/tex])

volume of the composite figure =  [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)

Answer:

14

Step-by-step explanation:

Just add both the numbers as positive to get total length since one is negative

5.3+8.7=14

Answer:

The length of the segment is 14.

Step-by-step explanation:

8.7 - (-5.3) = 14.

An easier way to do this is just by counting backwards kinda on the number line.