The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?
Answers
Answer:
Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet
Step-by-step explanation:
The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.
As we can see that at the mid value, for x=4, the value of f(x)=9.4
It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.
It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet
Answer:
B on Edge
Step-by-step explanation:
yes, because the width of the arch is 9.6 feet
Related Questions
marcus receives an inheritance of $13,000. he decides to invest this money in a 10-year certificate of deposit (CD) that pays 3.0% interest compounded monthly. how much money will marcus receive when he redeems the CD at the end of 10 years?
Answers
Answer:
Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years
Step-by-step explanation:
Principal(p)=$13,000
Rate(r)=3.0%
Period(n)=12 months
Time(t)=10 years
A=p(1+r/n)^nt
=13,000(1+0.03/12)^12*10
=13,000(1+0.0025)^120
=13,000(1.0025)^120
=13,000(1.3494)
=17,542.2
A=$17,542.2
Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years
Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answers
Answer:
[tex]\bold{m=-\dfrac23}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]
Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statement describes how the location of segment EG affects the area of EFGH?
The area of EFGH is One-fourth of the area of the rectangle if E and G are not midpoints.
The area of EFGH is One-half of the area of the rectangle only if E and G are midpoints.
The area of EFGH is always One-half of the area of the rectangle.
The area of EFGH is always One-fourth of the area of the rectangle.
Answers
Answer:
The area of EFGH is always One-half of the area of the rectangle.Step-by-step explanation:
If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.
So the area of the rectangle: [tex]A_{rectangle}=EG\cdot FH[/tex]
FH ⊥ EG so the area of quadrangle EFGH:
[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]
no matter the location of segment EG
The area of EFGH is always One-half of the area of the rectangle.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have given that;
the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.
The kite consists of 2 triangle that are EFG and EHG.
Now,
In a triangle EFG is,
= 1/2 x EG x h......(1)
where h is the height from F to EG
Also the area of EHG:
= 1/2 x EG x h₁
where is the height from H to EG
We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.
Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁
Also, The area of a rectangle is rectangle length × rectangle width.
Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.
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Carlos' hourly wage increased by 30% this year. If his previous salary was $20 an hour, what is his new hourly wage?
Answers
Answer:
$26.
Step-by-step explanation:
His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:
[tex]20+20(.3)=20(1.3)=26[/tex]
His new salary is $26.
Note: For the second step, I used the distributive property.
[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]
Please show your work! *grade 9 work*
Answers
Answer:
c = 6√2 cm
Step-by-step explanation:
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
108 = c²
c = ± √108 = ± 6√2
Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.
Answer:
72 cm or 6 square root of 2
Step-by-step explanation:
a^2+b^2=c^2
6^2+6^2=c^2
36+36=72
c= 72 cm. or 6 square root of 2
hope this helps.
Use the function below to find (-2).
f(x) = 3x
O A.
O B. -9
O c.
O D. -6
Answers
answer
f(x)= 3x
= 3×-2 = -6
D. -6
Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes through the point (4, 4) on the blue line. Explain how you determined your answer.
Answers
Answer:
y = 0.5x + 2
Step-by-step explanation:
the y-intercept is 2, as shown in the graph
the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).
using the slope formula of rise / run, you get 1/2, which is equal to 0.5
Complete the table of values for y=x^2-2x+5 (see table in comments)
Answers
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was per hour. The water output rate for the Perry family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used
Answers
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used
Answer:
Hours of use of sprinkler by Lewis family is 30 hours.
Hours of use of sprinkler by Perry family is 35 hours.
Step-by-step explanation:
Let W = hours of use by Lewis family
65 - W = hours of use by Perry family
Then;
15W + 40*(65 - W) = 1850
15W + 2600 - 40W = 1850
(15 - 40)W = 1850 - 2600
-25W = −750
W = 750/25 = 30
Therefore;
W = 30
65 - W = 65 - 30 = 35
Hence,
Hours of use by Lewis family is 30 hours.
Hours of use by Perry family is 35 hours.
Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8, 16, x, y GCF: 4x Factored expression: 4 x (0 + 4 y) Which best describes the accuracy of Monique's solution? Monique's solution is accurate. Monique made an error when listing the factors, which affected the GCF and the factored expression. Monique made an error when determining the GCF from her list of factors. Monique made an error when writing the factored expression.
Answers
Answer:
Monique made an error when writing the factored expression.
Step-by-step explanation:
The factorisation of the expression 4x+16xy is 4x(1+4y).
The given expression is 4x+16xy.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x=2×2×x and 16xy=2×2×2×2×x×y
so, the GCF of terms 4x.
Now, 4x(4x/4x+16xy/4x)=4x(1+4y)
Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).
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A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answers
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answers
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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Use the graph of the polynomial function to find the factored form of the related
polynomial. Assume it has no constant factor.
A. (x + 2)(x+2)
B. x(x-2)
C. x(x + 2)
D. (x-2)(x + 2)
Answers
Answer:
d
Step-by-step explanation:
the answer would be (x-2)(x+2)
The equations x minus y = 2, x minus 2 y = negative 2, x + y = 2, and x + 2 y = negative 2 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2) and (2, 0). Orange line goes through (2, 0) and (0, negative 2). Pink line goes through (2, negative 2), and (0, negative 2). Blue line goes through (0, negative 2) and (2, 2). Which system of equations has a solution of approximately (0.7, –1.4)? x minus y = 2 and x + 2 y = negative 2 x minus 2 y = negative 2 and x + y = 2 x minus y = 2 and x minus 2 y = negative 2 x + y = 2 and x + 2 y = negative 2
Answers
Answer:
x - y = 2 and x + 2y = -2
Step-by-step explanation:
Since you have the graph, you can easily see that the point of interest is nearest the intersection of the orange and pink lines.
__
Recognizing that the intercepts of a line in standard form are ...
ax +by =c
x-intercept: c/a
y-intercept: c/b
You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:
x -y = 2 ⇒ (0, -2) — orangex -2y = -2 ⇒ (0, 1) — bluex +y = 2 ⇒ (0, 2) — greenx +2y = -2 ⇒ (0, -1) — pinkThe system of equations with the desired solution is ...
x -y = 2 and x +2y = -2
Answer:
A: x-y= 2 and x+2y= -2
Step-by-step explanation:
I got it right on Edge 2020
The whole number which is not a natural number is
Answers
Answer:
All negative numbers
Step-by-step explanation:
They are not whole numbers
Answer:
0
Step-by-step explanation:
Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Answers
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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what is the greatest common factor of the polynomial below? 8x^2-4x
Answers
Answer:
4x
Step-by-step explanation:
8x^2 = 2*2*2 *x*x
4x = 2*2 *x
The greatest common factor is 2*2*x = 4x
Answer:
A
Step-by-step explanation:
8x² - 4x
Factor out the greatest common factor.
4x(2x) - 4x(1)
4x(2x - 1)
The greatest common factor of the polynomial is 4x.
PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answers
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
Figure ABCD is a rectangle find the value of x
Answers
Answer:
8
Step-by-step explanation:
BD is 32 units.
BE is half of BD
3x - 8 = 32/2
3x - 8 = 16
3x = 16 + 8
3x = 24
3/3x = 24/3
x = 8
Answer:
8Solution,
Diagonals of rectangle bisects each other.so,
2 BE = BD
2( 3x - 8 ) = 32
6x - 16 = 32
Add 16 on both sides
6x - 16 + 16 = 32 + 16
Simplify
6x = 48
divide both sides of equation by 6
6x/6 = 48/6
calculate
X = 8
Hope this helps...
Good luck on your assignment..
help quick plz must get this correct I will make u a brainllest
Answers
Answer:
CPCTC
Step-by-step explanation:
You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!
I need help on this please
Answers
Answer:
[tex]y=\frac{5}{6}x+5[/tex]
Step-by-step explanation:
Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.
So slope intercept form is [tex]y=mx+b[/tex].
Like to find the y intercept we know it is the point that the line touches the y axis which is 5.
Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So to do this we need two points that are on the line we can use (-6,0) and (6,10).
So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]
can someone help me with the question, please.
Answers
Answer:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Step-by-step explanation:
Angle x and the sides 13 and 22 cm are related through the sine function as follows:
opposite side 13 cm
sin x = ---------------------- = ------------- = 0.591
hypotenuse 22 cm
Now find x using the inverse sine function:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Answer:
36.22°Solution,
Perpendicular = AB
hypotenuse = AC
we know that,
[tex]sin \: theta = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{ab}{ac} [/tex]
[tex]x = {sin}^{ - 1} \frac{13}{22} [/tex]
[tex]x = 36.22[/tex]
Hope this helps...
Solve the system of equations:
y = x-2
y= x2 – 3x+ 2
Answers
Answer:
(2, 0)
Step-by-step explanation:
y = x - 2
y = x² - 3x + 2
Since both equations equal y, you can set the equations equal to each other.
x - 2 = x² - 3x + 2
x = x² - 3x + 4
0 = x² - 4x + 4
0 = (x - 2)(x - 2)
x - 2 = 0
x = 2
Now that you have an x-value, solve for y.
y = x - 2
y = 2 - 2
y = 0
The solution is (2, 0).
When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to record transactions in your checkbook. d:You are not personally liable for more than $50 if it is stolen.
Answers
Answer:
D.
Step-by-step explanation:
Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.
D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.
NEED ANSWER ASAP What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
Answers
Answer:
(A) 1
Step-by-step explanation:
We know that the formula is x = (m/m+n) (x2-x1) + x1.
But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.
The reason everyone else was getting 4 was because they were using this.
They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.
However, the correct equation (because it is supposed to be F to D) is
x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.
I also just took the quiz and got 100%.
PRESS THAT THANKS BUTTON!!!
1. Garbage Production. Based on a sample of 62 households, the mean weight of discarded plastic is 1.93 pounds and the standard deviation is 1.08 pounds (data from the Garbage Project at the University of Arizona). Use a single value to estimate the mean weight of discarded plastic for all households. Also, find the 90% confidence interval.
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.
the mean weight of discarded plastic for all household is given by:
[tex]\mu_x=\mu = 1.93\ pounds[/tex]
The standard deviation of discarded plastic for all household is given by:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds[/tex]
The confidence (c) = 90% = 0.9
α = 1 - c = 1 - 0.9 = 0.1
α/2= 0.1/2 = 0.05
The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. [tex]z_\frac{\alpha}{2}=z_{0.05}=1.645[/tex]
The margin of error (E) = [tex]z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256[/tex]
The confidence interval = [tex]\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)[/tex]
We are 90% confidence that the value is between 1,7044 and 2.1556
Select the correct answer.
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent
Answers
Answer:
c
Step-by-step explanation:
Answer:
Both a relation and a function
Step-by-step explanation:
Replicates itself every 14 minutes, which is exponential function
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
Answers
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
What is the greatest number of bricks Lynn can make?
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
Answer:
Greatest number of bricks = 70
Washed out mixture = 4 pounds
Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.
Step-by-step explanation:
She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket.
Amount of mixture = 39 pounds of water + 48 pounds of brick dust
Amount of mixture = 87 pounds
She spills 13 pounds of the mixture while stirring the contents.
Amount of mixture left = 87 pounds - 13 pounds
Amount of mixture left = 74 pounds
Each brick requires 7 pounds of mixture
What is the greatest number of bricks Lynn can make?
Greatest number of bricks = 7×10
Greatest number of bricks = 70
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
Washed out mixture = 74 pounds - 70 pounds
Washed out mixture = 4 pounds
Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.
Evaluate the following expression using the values given: Find 2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.
Answers
Answer:
The evaluated answer to this equation is 19.
Step-by-step explanation:
2r² + 3s³ - r² + 4t² - r²
In the problem, we are given values for the variables in the equation.
r = -2
s = -3
t = 5
Let's plug these numbers into the equation.
2(-2)² + 3(-3)³ - (-2)² + 4(5)² - (-2)²
First, simplify the exponents.
2(4) + 3(-27) - (4) + 4(25) - (4)
Next, multiply the numbers starting from left to right.
8 + (-81) - 4 + 100 - 4
Add 8 and -81 together.
-73 - 4 + 100 - 4
Subtract 4 from -73.
-77 + 100 - 4
Add -77 to 100.
23 - 4
Subtract 4 from 23.
19
So, your final simplified answer to this equation is 19.
Which set of points does NOT represent a function?
OA) (-4,-2), (-1,3), (0, 3), (5, -6)
OB) (1 -1), (3, -1), (5, -1), (-1, -1)
OC) (-2, 6), (5, 6), (-2,-6), (4,5)
OD) (7,4), (-4, 7), (-7,-4), (4, -7)
Answers
Answer:
OC is not a function
Step-by-step explanation:
It's not a function because the x cannot repeat.