Step-by-step explanation:
the volume of any cube or prism is
length × width × height (or depth)
11.1 = 2.8 × 1.2 × depth
depth = 11.1 / (2.8 × 1.2) = 11.1 / 3.36 = 3.303571429 ft
≈ 3.3 ft
A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle?
Answer: 203
Step By Step Explanation: Just multiply the numbers.
Answer:
Area = 203 [tex]ft^{2}[/tex]
Step-by-step explanation:
The area of a rectangle can be found using this equation:
Area = length x width
The length given is 29 feet, and the width is 7 feet.
Let's plug these into the equation:
Area = (29)(7) = 203 [tex]ft^{2}[/tex]
Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].
Hope this helps! If you have any questions about my work, please let me know down in the comments!
If your car has a 40 liter gas tank and your car can achieve 26 mpg (miles per gallon), how far can you travel on a full tank
Answer:
270.4 miles
Step-by-step explanation:
First we will convert the 40 liter gas tank into gallons.
There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.
[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]
This means we can travel 270.4 miles on a full tank.
That is the answer
- Kan Academy Advance
What is (6 532/1000kg + 7,278g + 5kg 166g) x 8?
Answer:
151.80800 kilograms
Step-by-step explanation:
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. how many quarts of paint did mieko use in the living room?
The number of quarts of paint did mieko use in the living room is A = 3 quarts
Given data ,
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room
Now , on simplifying the equation , we get
Two gallons of paint is equal to 8 quarts (2 x 4 = 8)
Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)
She used 3 quarts of paint on the hallway
Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway
Therefore , she used 8 - 5 = 3 quarts of paint in the living room
Hence , the number of quarts is A = 3 quarts
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What is the line of symmetry for the parabola whose equation is y=x^2-12x+7
Answer:
x = 6
Step-by-step explanation:
The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).
__
Comparing your equation to the above form, we see ...
a=1b=-12c=7Then the line of symmetry is ...
x = -b/(2a) = -(-12)/(2(1)) = 6
The line of symmetry is x=6.
In triangle RTS △RTS shown below, point U is on
ST, and point V is on RT so that angle RST UVT∠RST≅∠UVT. If ST=13 VT=5, and RV=13.2, find the length of TU. Figures are not necessarily drawn to scale.
Answer: 7
Step-by-step explanation:
As [tex]\angle T \cong \angle T[/tex] by the reflexive property, we know that [tex]\triangle RST \sim \triangle UVT[/tex] by AA.
Since corresponding sides of similar triangles are proportional,
[tex]\frac{UT}{5}=\frac{13.2+5}{13}\\UT=(5)\left(\frac{13.2+5}{13} \right)=\boxed{7}[/tex]
The histogram shows the results of a survey that asked people how many hours of sleep they get each night. Which
statements are true?
The true statements are
The mean is near the median.
The mean is the best measure of center.
The five-number summary is the best measure of variation
What is a histogram?
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.
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2.) which number could not be a value of y if:
y = 4x2-6
a.) 30
b.) 10
c.) -6
d.)-12
The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
Find the solutions to the equation below.
Check all that apply.
6x² +7x-5=0
A. x= -2
B. x = 5
C. x = -5/
D. x = 1/1/2
Ex= 1/3
O F.x= -1/3
x=-5/3 and x=1/2
Step-by-step explanation:
I think you left out some numbers
HELP PLS question is in picture along with answers
In the given diagram, the measure of angle B (m∠B) is 40°
Exterior angle theoremFrom the question, we are to determine the measure of angle B
By the exterior angle theorem,
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Then, we can write that
m∠A + m∠B = 155° (Exterior angle theorem)
115° + m∠B = 155°
m∠B = 155° - 115°
m∠B = 40°
Hence, the measure of angle B (m∠B) is 40°
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Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.
The correct statements regarding the function in the graph are given as follows:
B. The function does not reach a maximum value.
C The function is increasing for all values of x larger than 2.
What are the correct statements regarding the function?The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.
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Work out th
e value of x x y x z
Step-by-step explanation:
simple x×x×y×z=x^2×yz=x^2yz
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer: 6.64
Step-by-step explanation:
[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]
42 times 12 divided by 4
Answer:
42×12/4
=42×3
=126
........
9=-7x+7x^2 Helppp please
Answer:
x= 0.21428571428 or x=0.2
Step-by-step explanation:
-7x+7x^2=9 1. simplify 7x^2
-7x+ 7x(7x)=9 2. combine like terms
-7x+49x=9 3. combine like terms
42x=9 4. /42 on both sides
x= 0.21428571428 or x=0.2
which of the following statements best describes the meaning of the y intercept of the line-of best fit in the scatter plot?
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
the answer is 40
Step-by-step explanation:
A = 10 x 8 over 2 which is 40
The temperatures for the summer in California are 105, 90, 85, 89, and 100.
What is the range of the temperature
Answer:
range is subtracting the highest number from the lowest number. so we want to find the difference
Step-by-step explanation:
all you do is 105-85 which is 15.
pick one of the following sums and investigate these
What happens?
what is the general rule for each sums?
how does the rule work?
3.7+7.3=
6.4+4.6=
9.1+1.9=
5.5+5.5=
The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.
How to find the general rule for a sum?Let's sum the decimal numbers to know the general rule,
Therefore,
3.7 + 7.3 = 11.0
6.4 + 4.6 = 11.0
9.1 + 1.9 = 11.0
5.5 + 5.5 = 11.0
Therefore, the values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.
When you add the tenth term together we will get ten which will make the value an integer
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help help help help help
Sample red box blue standard deviation 3.868 2.933 then complete each statement. the sample size of the session regarding the number of people would purchase the red box, n the sample size of the session regarding the number of people would purchase the blue box n_{2} is the standard deviation of the sample mean differences is approximately
The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.
How to find the confidence Interval?Formula for the confidence interval is:
CI = x' ± z(S.E)
where;
x is the mean
z is the critical value.
S.E is the standard error.
We are told that there is no difference between the population and as such; x = 0.
The confidence level is given as 95%.
z-score at 95% confidence level = 1.96.
Standard deviation of the sample mean differences is 0.69. Thus;
S.E = 0.69.
The confidence interval is:
CI = 0 ± (1.96 * 0.69)
CI = (-1.35, 1.35)
1.74 is outside of this confidence interval and as such it is statistically significant.
Complete question is;
I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.
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If DE = x + 1, EF = 2x, and DF = 10, what is DE
Answer:
x=3
Step-by-step explanation:
I will assume this is a number line
DE + EF = DF
x+1 + 2x = 10
3x + 1 = 10
3x = 9
x = 3
What is the solution for p in the equation?
7
p + p + 7 = p +5+4
OAp=1
OB. p=6
OC.
p= -1
OD. p= -6
Step-by-step explanation:
p + p + 7 = p + 5 + 4
2p + 7 = p + 9
2p - p = 9 - 7
p = 2
In ΔDEF, sin D=24/25. What is cos E? [Worth 20 points]
A. 24/25
B. 7/25
C. 25/7
D. 7/24
The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
TrigonometryFrom the question, we are to determine the value of cos E
From the given information, we have
[tex]sin \ D=\frac{24}{25}[/tex]
By SOH CAH TOA
Opposite = 24
Hypotenuse = 25
Thus, considering the diagram
/EF/ = 24
and
/DE/ = 25
By SOH CAH TOA
[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]
∴ [tex]cos \ E =\frac{24}{25}[/tex]
Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
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Find the equation
of the line
that goes through (2,4) and has
a slope of -3.
The equation of the line that goes through (2,4) and has a slope of -3 y = -3x + 10
How to find the equation of a line with slope?The equation of a line can be represented as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = -3x + b
Let's find b
hence,
4 = -3(2) + b
4 = -6 + b
b = 4 + 6
b = 10
Therefore,
y = -3x + 10
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What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answer:
they are different in the equation
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
To find the mean of a given data set, add up all the values then divide by how many numbers ...
Step-by-step explanation:
Explain how you would find the area of the shape below.
Answer:
Explained below
Step-by-step explanation:
Area= area of these two triangles+ area of the rectangle+ area of the
=1/4(dh)+ +l.b +
write the formula of gravitational force between two bodies of mass 'x'and 'y' kept at a distance 'r'
[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]
Step-by-step explanation:
Masses of the bodies are x and yDistance at which they are kept is rWhen two bodies are of masses x and y are placed at a distance r then the gravitational force acting on them is given as:[tex]\huge \purple{F =G.\frac{xy}{r^2}}[/tex]Where G is the gravitational constant.Need help due tmr this is linear relationships