Answer:
400
Step-by-step explanation:
5(1+3) to the power of 2
5×1=5 5×3=15
(5+15) to the power of 2
5+15=20
20 to the power of 2 = 400
A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden
Answer1/2(8x15)=60ft2
Step-by-step explanation: hope this helps you
The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.
What is the area of a triangle?The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.
The area of the triangle will be calculated as,
Area = 1/2 x 15 x 8
Area = 15 x 4
Area = 60 square feet
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the Venn diagram is shown below
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
HELPPP! PLEASEEEE, middle school is hard.
Answer:
a. sss
Step-by-step explanation:
Answer:
All it is asking you to do is chose which letters at the bottom prove that ADE=BCE. I would say none of them, but I don't really know. I know my explanation is a little unclear but I hope it will help you in some way.
Step-by-step explanation:
What’s the volume to this shape?
Answer:
30x^6
Step-by-step explanation:
5×2×3=30
x+x+x+x+x+x=6x
Indices gets added when they are multiplied
Answer:
[tex]540x^{3}[/tex]
Step-by-step explanation:
First, we need to simplify all over the cubes and squares.
2x^2 = 4x
3x^3 = 27x
5x=5x
Then , we need to multiply them together.
27x*4x= 108x
108x*5x = 540x
Now, we have our answer
C. The King football team ordered 50 hats. The cost of shipping was
$6.50. If King spent $256, how much was each hat?
Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy?
Given:
Total amount = $10
Cost of loaf of bread = $3.25
Cost of cheese = $5.99 per pound
Each slice weights = 0.04 pounds.
To find:
The inequality for the number of slices that Paul can afford to buy.
Solution:
Let x be the number of slices that Paul can afford to buy.
Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.
Cost of cheese = $5.99 per pound
So, total cost of cheese for x slices = $5.99 × 0.04x
Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.
[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]
[tex]0.2396x\leq 10-3.25[/tex]
[tex]0.2396x\leq 6.75[/tex]
Divide both sides by 0.2396.
[tex]x\leq \dfrac{6.75}{0.2396}[/tex]
[tex]x\leq 28.172[/tex]
The maximum integer value of x is 28.
Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.
In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER
Step-by-step explanation:
Here you go, I tried my best
cheers
The original fraction is [tex]\frac{4}{8}[/tex]
Let the numerator = a
Let the denominator = b
Denominator is 4 larger than the numerator: b = a + 4
2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2
The algebraic equation from the given statement is formed as follows;
[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]
The original fraction is calculated as follows;
[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]
Thus, the original fraction is [tex]\frac{4}{8}[/tex]
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A patio is designed using two types of tiles. The tiles are similar isosceles triangles. The lengths of the sides of the larger triangle are 6 inches, 6 inches, and 4 inches. Which one of these could be the side measurements of the smaller triangle?
Ommited Answer Choices:
A. 4 inches, 4 inches, 4 inches
B. 3 inches, 3 inches, 3 inches
C. 3 inches, 3 inches, 2 inches
D. 2 inches, 2 inches, 3 inches
Answer:
C. 3 inches, 3 inches, 2 inches
Step-by-step explanation:
The ratio of the corresponding lengths of two similar polygons will always be equal.
Thus, the ratio of the smaller sides of both similar isosceles ∆ should equal the ratio of the other sides.
Thus, from the options given, the side measurements that could be that of the smaller triangle are: 3 inches, 3 inches, 2 inches.
This is because: ratio of one of the equal side of the larger triangle to one of the equal side of the smaller triangle equal ratio of the shortest side of the bigger triangle to the shortest side of the smaller triangle.
Thus: 6/3 = 4/2 = 2.
If f(x) = ln(x+4+e^-3x) then f'(0) is what?
Answer: f(0) = 0
Step-by-step explanation: anything multiplied by 0 is 0.
The value of [tex]f'(0)=\frac{-2}{5}[/tex]
What is Derivative of a function?
The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument
It is denoted by f ' ( x ) = dy / dx
Given data ,
Let the function be f ( x ) = [tex]ln(x + 4 + e^{-3x} )[/tex]
To differentiate f ( x ) ,
Let [tex]y=ln(a)[/tex] , where [tex]a=x+4+e^{-3x}[/tex]
So ,
[tex]e^{y} =a[/tex]
Using this function , we can write
[tex]e^{y} = x + 4 + e^{-3x}[/tex]
On differentiating , we get
[tex]e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}[/tex]
Dividing by [tex]e^{y}[/tex] on both sides , we get
[tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }[/tex]
We know , [tex]e^{y} =a[/tex]
And [tex]e^{y}=x+4+e^{-3x}[/tex]
So , [tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]
Therefore [tex]f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]
Now , [tex]f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }[/tex]
[tex]f'(0)=\frac{-2}{5}[/tex]
Hence , the value of [tex]f'(0)=\frac{-2}{5}[/tex]
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Name an angle supplementary to /EOD
Use Graphs A-D for Exercises 9-11. During the winter, the amount of water that flows
down a river remains at a low constant. In the spring, when the snow melts, the flow of
water increases drastically, until it decreases to a steady rate in the summer. The flow
then slowly decreases through the fall into the winter. Consider the graphs shown.
A.
B.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
C.
D.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
9. Which graph best represents the given situation?
Graph B
10. Describe the other three graphs.
11. What are possible situations for graphs B, C, and D?
did u get the awnsers?
What is the DOMAIN of the given relationship?
(-2, 4), (1, 0), (3, -1), (4, 4)
Someone answer ASAP plsss
Answer:
(-2,4)
Step-by-step explanation:
Because -2 is the x minimum and 4 is the x maximum :)
Which one?
A. B. C. or D?
Can someone help me with these two questions step by step plz
Answer:
1) x= 20
2) x= 75
Step-by-step explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
40= 2x
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
3x= 225
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!
There are 32 marbles in a bag 14 were red, what is the ratio of blue to red?
Please help
Answer: 9:7
Subtract 32 by 14, because there are 14 red marbles.
32 - 14 = 18.
Now, get the numbers 14 and 18. Reduce them to the lowest.
18 ÷ 2 = 9
14 ÷ 2 = 7
Make 9 & 7 to a ration.
Ration- 9:7
================================================
Explanation
There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.
The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).
The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.
if 1/4 of the pie was eaten what fraction of the original whole pie remains
Answer:3/4
Step-by-step explanation:
Sarah is planning to download music and has purchased a monthly package for $12.00 plus $0.60 for each song that she downloads. If Sarah’s bill this month totaled $39.00 how many songs did she download?
Answer:
Sarah downloaded 65 songs.
One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.
Answer:
166.67 miles.
Step-by-step explanation:
let the number of mile for which the cost for both car rental be same is x mile
For first car rental
weekly fees charged = $10
cost of 1 mile = $0.29
cost of x miles = x*cost of 1 mile = $0.29x
total money charged by first car rental = $10 + $0.29x
For other car rental
weekly fees charged = 0
cost of 1 mile = $0.35
cost of x miles = x*cost of 1 mile = $0.35x
total money charged by other car rental = $0.29x
_______________________________________
since we have to find miles for which charges are same
thus
total money charged by first car rental = total money charged by other car rental
10 + 0.29x = 0.35x --------------------equation required
=> 10 = 0.35x - 0.29x
=> 10 = 0.06x
=> x = 10/0.06 = 166.67
Thus, the number of miles for which both agencies will charge the same is 166.67 miles.
mike bought an item for $14,000 after a discount of 30% what was the original price of the item mike brought? please show work.
Answer:
It should be $20,000
Step-by-step explanation:
From $20,000 to $14,000 = -30%
Which the -30% is the discount basically
So your final answer should be $20,000
$20,000 was the original price.
2x-3y=6 How do you get y by itself
Answer:
[tex]y=\frac{2x-6}{3}[/tex]
Step-by-step explanation:
3y=2x-6
[tex]y=\frac{2x-6}{3}[/tex]
First, you have to move the x, along with the coefficient(2).
To move the 2x, you have to subtract it from both sides.
So you have -3y= 6-2x
Now you have to divide by -3.
DON’T FORGET THE NEGATIVE.
So you have y = -2 +2/3
In slope intercept form
If this helped please mark branliest
Find the quotient.
(Idk what it means I’m kinda confused)
Answer:
1 1/3
Step-by-step explanation:
-4/9 ÷ -1/3
Copy dot flip
-4/9 * -3/1
Rewriting
-4/1 * -3/9
simplify
-4/1 * -1/3
Multiply
4/3
Change to a mixed number
1 1/3
Answer:
So the quotient is when you divide so it would be the last one 1 and 1/3
Step-by-step explanation:
-4/9x3/-1(flip the reciprocal)
-12/-9
remove both negatives
simplify and divide both by three and you should get 4/3 which is 1 1/3
1. The first step to solving a 2-Step Equation, like in the problem below, is
to: *
2 points
-3x + 5 = 12
Division: Divide both sides by -3 to isolate the variable.
Addition: Add 3 to both sides to isolate the variable.
Subtraction: Subtract 5 from both sides to isolate the variable term.
Multiplication: Multiply by the common denominator 60.
Answer:
addition add 3 to both sides to isolate the variable term
Please just do whatever you can
From 24 grams to 96 grams ( percent change )
Answer:
i think it is 300%
Step-by-step explanation:
What is an equation of the line that passes through the points (6,4) and (4,1)
First, you find the slope.
This is done by plugging in to the equation y2 - y1 / x2 - x1
Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.
4-1 / 6-4 = 3/2
The slope is 3/2.
Now, y = 3/2 x +b
To solve for b, plug in a point.
I plugged in (6, 4)
4 = 3/2(6) + b
4 = 9 + b
-5 = b
So, the equation is y = 3/2 x - 5
Hope this helps
[tex]y = \frac{3}{2} x - 5[/tex]
0.375, 75% , 5/8, 1/2
From least to greatest pls
Earth is 148.61 million km from the sun in scientific notation it is
Answer:
1.48x10^2 ten to the second
Step-by-step explanation:
cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer
f(x) = -2x+3
find f(-3)
Answer:
3
Step-by-step explanation:
this is because 3 would be the answer
Carl drives to the beach at 50 mph. When he returns home he is able to travel at 55
mph. Assuming the trip home takes him a half hour less, find the distance to the beach.
Answer:
the distance to the beach is 27.5 miles (multiple choice is under rated)