Answer: [tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
Step-by-step explanation: Everything in the parenthesis has to be multiplied by one fourth so we can do something like this: [tex](\frac{1}{4} )(6e)-(\frac{1}{4} )(3f)-(\frac{1}{4} )((\frac{3}{4} )[/tex]
That's distrubiting the one fourth into all of them
Now we simplify
[tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?
Answer:
The dimensions are four by two by two meters.
Step-by-step explanation:
The volume for a rectangular prism is given by:
[tex]V=\ell wh[/tex]
Where l is the length (or depth), w is the width, and h is the height.
Since the height and width are both two meters less than the depth, we can write that:
[tex]h=\ell -2\text{ and } w = \ell -2[/tex]
We are also given that the total volume is 16 cubic meters. Substitute:
[tex]16=\ell(\ell -2)(\ell -2)[/tex]
Expand:
[tex]16=\ell(\ell^2 -4\ell +4)[/tex]
Distribute:
[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]
Isolate the equation. So:
[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]
We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:
[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]
Factor:
[tex](\ell ^2+4)(\ell -4)=0[/tex]
Zero Product Property:
[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]
Solve for each case:
[tex]\ell^2=-4\text{ or } \ell =4[/tex]
Since we cannot take the square root of a negative number, we can ignore the first case.
Therefore, the length (or depth) of the storage space is four meters.
Thus, the dimensions are four by two by two meters.
ACTIVITY
Jump to level 1
Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
At the grocery store near Josie's home, Cheerios cost 99 cents per box. The cost of a box of Tasteeos is only 5/9 of the cost of a box of Cheerios. How many cents will Josie have to pay for one box of Tasteeos cereal?
HELP! POTATOooooooooooooooooooooooo plz
Answer:
Step-by-step explanation:
i cant see the answer
3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.
The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour
Answer:
d.
Step-by-step explanation:
No, because a more appropriate technique can be used to control the behaviour
how do I
graph y+2= - 5/7 (x+6)
22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.
Answer:
Step-by-step explanation:
A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
Which of the following statements is true?
A.
m is parallel to /.
B.
/ and m bisect each other.
C.
The distance from A to A' equals the distance from A to m.
D.
m bisects /.
Find the value of x and the value of y.
Answer:
[tex]x=7,\\y=4\sqrt{2}[/tex]
Step-by-step explanation:
Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.
The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:
[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]
The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:
[tex]x=4+3=\boxed{7}[/tex]
Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
Please help!
Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions? O A. 0.032 . B. 0.072 O C. 0.095 O D. 0.055 SUBMIT
Answer:
[tex]\text{A. 0.032}[/tex]
Step-by-step explanation:
Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.
Formula:
[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.
What we're given:
[tex]P[/tex] of 0.1[tex]n[/tex] of 90Substituting given values, we get:
[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]
Write three solutions for the inequality 13 - 8X < -11
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
Question 4
1 pts
An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail
population.
Answer:
910*(1.2)^t
Step-by-step explanation:
Given data
Initial population= 910 quail
Rate= 20%
Let us use the model below
A= P(1+r)^t
r= 0.2
A= 910(1+0.2)^t
A= 910*(1.2)^t
Hence the expression to model the population is 910*(1.2)^t
An initial population of 910 quail increases at an annual rate of 20%.
So,
910*(1.2)^t
Step-by-step explanation:
Given data
Initial population= 910 quail
Rate= 20%
Let us use the model below
A= P(1+r)^t
r= 0.2
A= 910(1+0.2)^t
A= 910*(1.2)^t
Hence the expression to model the population is 910*(1.2)^t.
What is the exponential function?An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
Learn more about exponential function at
https://brainly.com/question/2456547
#SPJ2
5+p=10 what does p equal
Answer:
p=5
Step-by-step explanation:
5+p=10
Hence, p=10-5
=5
Answer:
5
Step-by-step explanation:
1. Move the constant to the right- hand side and change its sign.
p=10-5
2. Subtract the numbers
p=10-5
the answer is 5
6.2704 x 10v4 in standard form
Answer:
62704
Step-by-step explanation:
Given 6.2704 x 10^4
To convert to standard form:
6.2704 * 10^4
10^4 = 10*10*10*10 = 10000
6.2704 * 10000 = 62704
Hence, 6.2704 x 10^4 = 62704 in standard form
Match the base to the corresponding height. Base (b) Height (h) h h b b h
pls help me
Answer:2 b
Step-by-step explanation:3 h
Answer:
thats your answer
Step-by-step explanation:
To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour
Answer:
30ml of yellow
18ml of red
Step-by-step explanation:
5x6=30
3×6=18
Answer:
Step-by-step explanation:
a color
HELP I will give brainliest I am begging you only a few questions
Answer:
Graph A: (0,10) Graph B: (0,20)
Graph A: Height (feet) Graph B: Hight (feet)
Graph A: 138 Graph B: 120
Graph A: 32.6 Graph B: 43
Step-by-step explanation:
The smaller text was really blurry but I tried my best. Hope this helps!
Answer:
Step-by-step explanation:
I just pointed the answers, but quality of picture is poor: it's impossible to indicate the numbers on y-axis, and tell exact number on x-axis.
Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los
vende a 4 € el kilo. ¿ Cuánto ha ganado?
Step-by-step explanation:
165kg=330$
150*4=600$
600-330=270
espero te ayude :D
. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *
Answer:
x= -4
y= -8
This will be the solution
I WILL GIVE YOU BRAINLYEST if you answer
PLSS HELP I suck at math its easy
Answer:
I think the answer is would be C
Answer:
A. Neil did not make a mistake.
Step-by-step explanation:
Everything looks fine in this problem.
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?
Answer:
The surface area of the prism is equal to 72 sq inches.
Step-by-step explanation:
Given that,
A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2 inches.
The surface area of a rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Put all the values,
[tex]A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2[/tex]
So, the surface area of the prism is equal to 72 sq inches.
Help me please I don't have much time
Mr.flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it late
Answer:
0.52
Step-by-step explanation:
100% - 48% = 52%
[tex]\frac{52}{100}[/tex]
0.52
In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?
Answer:
18
Step-by-step explanation:
Find the diagram attached
From the diagram
PR + RQ = PQ
PR + RQ = 38
PR = 38 - RQ
using similar triangle;
KQ/RQ = KP/PR
45/RQ = 50/38-RQ
Cross multiply
50RQ = 45(38-RQ)
50RQ = 1710 - 45RQ
50RQ + 45RQ = 1710
95RQ = 1710
RQ = 1710/95
RQ = 18
Hence the length of RQ is 18
what is the degree of the polynomial x² - 5x + 2
Answer
2
Step-by-step explanation:
x^2-5x+2,
the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2
im in need of help for this problem (listing BRAINLIST and giving points) :)
I hope this is help full to you
Find the slope in each line
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
Hello! I was wondering if anyone can help me out on this question?
Function 1 is defined by the following table.
r: 0, 4, 5, 7
y: -3.5, -1.5 -1, 0
Function 2 is defined by line q (see attached image)
Which of these functions has a greater slope?
A. Function 1
B. Function 2
C. The functions have the same slope
Answer:
Function 2
Step-by-step explanation:
Function 2 or line q would have a greater slope
Please mark as brainliest answer