The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.
Answer:
12
Step-by-step explanation:
420/35
12
12*35=420
Answer:
The corresponding base is 12 cm.
Step-by-step explanation:
The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.
You can apply the problem to the formula:
420=b(35)
To solve, work backwards.
Divide 35 to both sides.
420 divided by 35 is 12
b=12
Hope this helps!
3) Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression?
a) P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.
Question:
Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression? P(x) = -3x² + 432x - 1680
a) P(x) = -3(x - 4)(x - 140)
b) P(x) = -3(x - 72)² + 13872
Find the profit when the price is zero
Answer:
- P(x) = -3(x - 140)(x - 4).
- P(0) = -1680
Step-by-step explanation:
Given
P(x) = -3x² + 432x - 1680
Required
- Find equivalent of P(x)
- Find P(x) when x = 0
To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.
This is done as follows
P(x) = -3x² + 432x - 1680
P(x) = -3x² + 12x + 420x - 1680
P(x) = -3x(x - 4) + 420(x - 4)
P(x) = (-3x + 420)(x - 4)
Further expand -3x + 420
P(x) = -3(x - 140)(x - 4).
Hence, the equivalent of
P(x) = -3x² + 432x - 1680
without changing its form is
P(x) = -3(x - 140)(x - 4).
When price is 0, then x = 0.
Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).
P(0) = -3(0 - 140)(0 - 4).
P(0) = -3(-140)(-4)
P(0) = -1680
Hence, the profit when price is 0 is -1680
Which expression is equivalent to the following complex fraction?
Answer:
Step-by-step explanaAnswer:
\frac{-2y+5x}{3x-2y}
Step-by-step explanation:
Given:
\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}
To simplify this expression, first make the addition and the subtraction, to get:
\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=
Next, simplify the two denominators, to get:
\frac{-2y+5x}{3x-2y}tion:
So the right answer is of option B.
Look at the attached picture
Hope it will be helpful to you ..
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.
Answer:
The mean decreases, and the median remains the same.Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is The mean decreases, and the median remains the same.
Answer:
the awswer is b
Step-by-step explanation:
took the test
Solve the following equation for x. x2 + 8x + 7 = 0 A. x = -1; x = -7 B. x = 1; x = -7 C. x = 1; x = 7 D. x = -1; x = 7
So the right answer is of option A.
Look at the attached picture
Hope it will be helpful to you..
Answer:
a
Step-by-step explanation:
i took this text
What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4
So the right answer is of option D.
Look at the attached picture..
Additional Information:
The second components of a relation is called range
Hope it will be helpful to you. .
The range of the function is {-4, 4, -3, 1}.
What is the range of the function?The range of a function is a set of all its possible outputs.
The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.
The given relation is;
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
The range of a function refers to the entire set of all possible output values of the dependent variable.
The range of a function is a set of all its possible outputs.
The range of the function is {-4, 4, -3, 1}.
Learn more about the range here;
https://brainly.com/question/393946
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2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB
Answer:
They help to visualize the problem
Step-by-step explanation:
Help!!!!!!
Describe the process you can use to solve a system of equations using a matrix.
Answer:
To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.
Step-by-step explanation:
It just be that way sometimes
Find the 100th term in the arithmetic sequence 0,5,10,15
Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495
Find the value of the expression (2x - 12) + ( 1/2xy - 10) for x = 8 and y = 2
A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line
Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]
Step-by-step explanation:
use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]
we know the slope, y, and x, so plug in
[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]
[tex]y+6=\frac{3}{2} (x-6)[/tex]
Answer:
[tex]y=\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]
Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)
Plugging in these values to our equation gives us
y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]
if y=4x-1, determine the value of y when x=7/2
Answer:
y=13
Step-by-step explanation:
Answer:
y =13
Step-by-step explanation:
y=4x-1
Let x = 7/2
y = 4(7/2) -1
y = 14 -1
y =13
math question below
Answer: The package reaches the ground in
4.67 s
and hits the ground with a speed of
33.8 m/s
Answer:
3m/s or option 1
Step-by-step explanation:
Given,
Height(h)=90m
time(t)=30s
Speed(v)=?
Now,
Speed(v)=distance/time
v=height/time(Since,height here is the distance covered by the balloon)
v=90/30
v=3
Unit of speed is m/s
Therefore,v=3m/s
By the way,this is a question related to physics
2/5 of it is 22.\
help
Answer:
55
Step-by-step explanation:
First, you do 22 divided by 2, which is 11. Then, you would multiply that by 5 which equals 55. So, the number is 55.
Answer:
55
Step-by-step explanation:
x=missong number
of means *
2/5 * x = 22
multilpy both sides by 5/2
x =22* 5/2
x = 55
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid
Answer:
A≈3170.96m²
Step-by-step explanation:
2 divided by one over 3 the awnser is a fraction
Answer:
1/6
Step-by-step explanation:
2/1÷ 1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)
1/2÷ 1/3 (Now we flip the numerator and denominator on a fraction)
1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)
1/6 (This is our answer!)
Hope this helped! Stay safe and have a good day or night!
NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches
Answer:
1230.88
Step-by-step explanation:
Volume= pi(r^2)h
Volume=3.14(49)(8)
Volume=1230.88
0 0 1 2 3 4 4 5 6 6
Which of the following could be the one missing data item for the above
set, if the mode is 4?
OA) 0
OB) 3
OC) 4
OD 5
Can someone help me with my maths I’ll give brainliest.
Answer: A is 40
B is 92.5
C is 27.5
Step-by-step explanation:
Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer: A
Step-by-step explanation:
The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2
Answer:
A. y= 1/2 sin(x)-2
Step-by-step explanation:
Correct in edge 2021!
"
5 ft
A
13 ft
a.
sin A=7
islam
/
A= 12,
A = 12 sec A
-
12
cos A = 132
n la
12
COS A = 13
CP
5, CSC A =
b.
sin A = , tan A = o, sec A = 1
12
sin A = 13, tan A =
12
5, sec A =
13
12
COS A = 5, cot A = 5, CSC A =
al
5
COS A = 13, cot A = 12, CSC A -
Answer:
i don't understand what the question is please explain what the question is.
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
Can someone please help me?
Answer:
-2
Step-by-step explanation:
Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
84
Step-by-step explanation:
L.C.M. of 3,6,7=42
42×1=42
42×2=84
42×3=126
55<84<101
Find the growth rate (b) if the amount of growth is 11.8%
Answer:
B
Step-by-step explanation:
I think.
The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11
Answer:
F(x)=(x-3)(x+8)(x-11)=0
(x-3)=0, (x+8)=0, (x-11)=0
X=3
X=-8
X=11
Which equation could be used to solve problems involving the relationships between the angles?
A) (12 + a) + (7a + 12) = 90
B) 90 + (12 + a) = (7a + 12)
C) (12 + a) − (7a + 12) = 90
D) (7a + 12) − 90 = (12 + a)
Answer:
c
Step-by-step explanation:
C) (12 + a) − (7a + 12) = 90
I need some help with this question, I got a different answer.
Answer:
The median is the middle number.
Step-by-step explanation:
You have to order the numbers from least to greatest, or greatest to least, and choose the number in the middle. Since there is an even number of values, you have to take the mean of the two middle numbers. I hope this helps.
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.