A rectangular garden has a walkway around it. The area of the garden is 6​(3.5x+1.5​). The combined area of the garden and the walkway is 7.5​(6x+5​). Find the area of the walkway around the garden as the sum of two terms.

Answer:

Step-by-step explanation: First, you isolate x, meaning only x can be on one side. you subtract 3 from both sides, getting x<4- x is less than four.

there are two graphs showing x less than four, but since this is less than and not less than/equal to, your answer is the fourth graph, where the point is open and not closed.

Answer:

Last choice,

open circle on 4 arrow going left.

Step-by-step explanation:

X + 3 < 7

x < 4

Answer:

250

Step-by-step explanation:

14 x 4 = 56

56 divided by 2 = 28

9514 1404 393

Answer:

  511

Step-by-step explanation:

Each tube can be included in the mix, or not. There are 2^9 = 512 possible subsets of a set of 9 objects, including the complete set and the empty set. The empty set will not make a color, so there are ...

  2^9 - 1 = 511 distinct color groupings that can be made

__

The assumption in the above answer is that no tube color can be made by any combination of other tube colors.* We also assume that the choice of tubes is what makes a "color grouping", and that the colors within that grouping made by using different ratios of paint quantities are not counted separately.

Answer:

its 13

Step-by-step explanation:

Answer:

Honestly im confused by this but i think its the second one

Step-by-step explanation:

Answer:

Last option (c) on the list of answers

Step-by-step explanation:

f(x) = { -10, -9, -2, 3}

Domain = {-3, -2, 5, 10}

Range = {-10, -9, -2, 3}

Step-by-step explanation

Orange

I tried

Answer:

White.

Tan.

Yellow.

Orange.

Red.

Pink.

Purple.

Blue.

Black.

Silver.

Gold.

Rainbow.

Answer:

Solution is the 5fx+45gx

Answer: Good afternoon fellow student, to answer your question

y - 35 = 2(x - 10)

Step-by-step explanation:

Let

y----->  the height of the plant

x ----> the number of days

Find the slope

we have the points

(10,35)

The slope is equal to

m= (55-35)/(20-10)

m= 2

Find the equation of the line into point slope form

y- y1 = m(x - x1)

we have

m= 2 and point (10,35)

y - 35 = 2(x - 10)

The correct option is b). No. The student's construction is not correct because circle D and circle E are not the same size.

An angle bisector is a ray, segment, or line which divides a provided angle into two equal-sized angles. The term bisector or bisection refers to the process of dividing something into two equal parts.

Now, as per the given question;

If line AH is the angle bisector of angle DAE, circle D as well as circle E should be the same size to ensure triangle ΔHDA ≅ Δ HEA, from which ∠ DAH= ∠EAH is deduced. Angle bisector properties

Thus, the student's construction again for angle bisector of DAE is incorrect because circle D or even circle E aren't the same size.

To know  more about angle bisector, here

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Answer:

About 42 cents

Step-by-step explanation:

What we know:

An 18-count variety pack of Taki's chips costs $7.49.

To find the unit rate divide 7.49 by 18, and round to the nearest cent.

7.49/18

Before we do that, what is 749/18?

749/18 = 41 11/18

Divide that by 100 to get your answer

41.61111/100 = 0.4161111, which rounds to 42 cents.

Answer:

d

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6 dont put that down

Answer:

0.46846846846

Step-by-step explanation:

if fraction was 416/888 thats the answer....

Answer:

=13p+7

Step-by-step explanation:

Let's simplify step-by-step.

5p+11+8p−4

=5p+11+8p+−4

Combine Like Terms:

=5p+11+8p+−4

=(5p+8p)+(11+−4)

=13p+7

Answer:

D

Step-by-step explanation:

if i am not mistaken you would add the common multiples with each other which would be 5p+8p and 11+(-4) which would equal 13p+7. I'm sorry if I'm incorrect

Answer:

Step-by-step explanation:

Let the equation be:

For the depth of 20 ft, the equation is:

For the depth of 25 ft, the pressure is:

Answer: 0.008939

If you meant to put the opposite, your answer is 111.8571.

Answer:

A

Step-by-step explanation:

From looking at the graph, you can see that the center point of the circle is at (5, -3), so to figure out the diameter, you need to find the distance of that line ( y = - 3 ) that the circle is on. The diameter is about 6 point something which in the square root form can be represented by √36.

After knowing the diameter is about 6, choice C can be eliminated.

2√10 = √40

4√10 = √160

2√34 = √136

After expanding the square root, we can know that the closest option is A.

Check the picture below.

so we know the circle has that center and passes through (2 , -2), let's find its radius, keeping in mind that diameter = 2 * radius.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~5 - 2~~)^2 + (~~-3 - (-2)~~)^2} \implies r=\sqrt{(5 -2)^2 + (-3 +2)^2} \\\\\\ r=\sqrt{( 3 )^2 + ( -1 )^2} \implies r=\sqrt{ 9 + 1 } \implies r=\sqrt{ 10 }~\hfill \underset{diameter}{\stackrel{(2)(r)}{2\sqrt{10}}}[/tex]

Answer:

.4

Step-by-step explanation: Subtract 0.6 from 1.

1-0.6=0.4

There is a 0.4 chance that it will not rain tomorrow.

Step-by-step explanation: Im sorry if this isn't right

Answer:

step by step you said answer step by step that's your answer

Step-by-step explanation:

step by step you said answer step by step that's your answer

Answer:

C

Step-by-step explanation:

Sara only has international stocks in her portfolio

The correct statement about the scenario is; Sara’s portfolio will be affected more because it’s limited to international stocks.

We are told that;

Amount invested by Rohan and Sara are equal amounts.

They both have now invested in an international company that is popular. Also, recent data shows a decrease in the share price of the international company.

From their respective investments in the data table given as seen online, we can say that the correct statement is Option C.

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Answer: The value of y is 24.

Step-by-step explanation:

Answer:

-7, -21, 0, 13, 24

Step-by-step explanation:

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

Answer:

D: 0 and 1

Step-by-step explanation:

Function is defined by;

f(x) = 3x^(5) - 5x⁴

Now, an inflection point will be a point on the graph where the inflection or concavity changes.

Thus, let's find the derivatives until we get there;

f'(x) = 15x⁴ - 20x³

f''(x) = 60x³ - 60x²

So factorizing gives;

f''(x) = 60x²(x - 1)

At f''(x) = 0, we have; x = 0 or x = 1

Thus, the x coordinates of points of inflection are 0 & 1

Answer:

I think the answer is 4

Answer:

[tex]r=1.05\ \text{ft}[/tex]

[tex]h=2.12\ \text{ft}[/tex]

[tex]20.91\ \text{ft}^3[/tex]

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = [tex]7.35\ \text{ft}^3[/tex]

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}[/tex]

Surface area is given by

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}[/tex]

Differentiating with respect to radius we get

[tex]\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}[/tex]

Equating with zero we get

[tex]0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05[/tex]

[tex]\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0[/tex]

So, the value of the function is minimum at [tex]r=1.05[/tex]

[tex]h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12[/tex]

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3[/tex]

The minimum surface area is [tex]20.91\ \text{ft}^3[/tex].