Answer: 10.94 gallons
Step-by-step explanation:
The rate of flow is given by the equation:
F(t) = (t^2+1) / (t + 1)
The rate at which it empties:
E(t) = ln (t + 7) / (t + 2)
Where t represr ts time in both equations
Amount of oil, to the nearest gallon, is in the tank at time t = 12 minutes
We can get this by taking the difference of both equations since it is occurring at the same time 't'
That is : F(t) - E(t)
At t= 12
[ (t^2+1) / (t + 1) ] - [ ln (t + 7) / (t + 2) ]
F(12) = (12^2 + 1) / (12 + 1) = 145/13 = 11.1538
E(12) = In(12 +7) / (12 + 2) = In(19) / 14 =
E(12) = 2.9444389 / 14 = 0.2103
F(t) - E(t) = (11.1538 - 0.2103) = 10.9435 gallons
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
If 400 reduced by two times my present age is 296, how old am I now?
Answer:
52 years.
Step-by-step explanation:
Represent my current age by c. Then 400 - 2c = 296, or
104 = 2c
Then c must be 104/2, or 52 years.
Choose the correct symbol.
74 21
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Explain the three steps when using distributive property to write an equivalent expression.
Answer:
Step-by-step explanation:First you apply the distributive property to create equivalent expressions, then you use algebra tiles to write equivalent expressions, and finally you verify that two different values of the variable yield the same value for each expressions, then the expressions are equivalent .
One way to show that two triangles are similar is to show that
Answer:
show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Answer:
show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Plzzzzzzz help In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is the value of the 9 in the hundredths place.
Answer:
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
Step-by-step explanation:
The decimal we are considering is 3.9928
The 9 in the tenth place has a value of 0.9
The value of 9 in the hundredth place has a value of 0.09
Now, what fraction of the 9 in the tenth place is the 9 in the hundredth place.
To mathematically get this, we just need to place the value of 9 in the hundredth place over the value of 9 in the tenth place;
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
Answer:
infinite solutions
Step-by-step explanation:
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
Combine like terms
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
15(12x2+x+1) = 15(12x2+x+1)
Divide by 15
(12x2+x+1) = (12x2+x+1)
Since they are the same
x can be any real value
Answer:
All real values of x
Step-by-step explanation:
3(12x²+x+1)+12(12x²+x+1)=15(12x²+x+1)
(12x² + x + 1)(3+12) = 15(12x²+x+1)
15(12x²+x+1) = 15(12x²+x+1)
Since both sides are identical, all real values of x will satisfy the equation
Anthony earned the following amount for baby-sitting his brother over winter break: $5, $10, $10, $10, $5, $10, $20, $10, $5, $20, $20, $20, $10, $5, $5. What is the mean and median amount he earned each day?
Answer:
mean is $11
median is $10
Step-by-step explanation:
PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
There are five blue marbles and seven orange marbles in a jar Misha Jaws one blue marble and set it aside what is the probability that Mesa will randomly drawn orange marble from the remaining marbles in jar
Answer:
7/11
Step-by-step explanation:
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 8, negative 13) and point B is at (4, 11). What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is One-third the length of the line segment from A to B? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (1, 5) (0, 3) (–4, –5) (–5, –7)
Answer:
c
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Edg 2020
Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors that each measure 3 ft by 7 ft and a window that measures 3 ft by 4 ft. If Faron does not paint the doors and window, what is the total area he will paint?
Answer:
319 square feet.
Step-by-step explanation:
The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.
The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.
Therefore, we have that the total area of the four walls is
192 +160 = 352 square feet
However, we have a door and a window that won't be painted.
The area of the door is: 3 x 7 =21 square feet
The area of the window is 3 x 4 = 12 square feet
Thus, the total amount of area that won't be painted is
21 + 12 = 33 square feet.
So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:
352 - 33 = 319 square feet.
Thus, she will paint 319 square feet
What is the area of triangle ABC?
O 2.5 square units
O 3 square units
O 3.5 square units
O4 square units
Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
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How do you do this and what’s the solution?
Answer:
Step-by-step explanation
diameter makes a right angle at the circumference of the circle.
f=90°
3. Six less than twice a number is 17. Which equation could be used to determine the
number, n?
A. 6-2n = 17
B. 2n-6 = 17
C. 6 - 7 n = 2n
D. 2n + 6 = 7
Answer & Step-by-step explanation:
n represents our number. So, twice a number would be 2n because twice means multiply by two.
When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.
FInally, the problem says that all of this equals 17 so 17 would be the result.
So, you answer is 2n-6 = 17. This is answer choice B.
triangle xyz is similar to triangle abc solve for k
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
Solve the system of equations by the substitution method.
y=5x+6
y=9x+7
Answer:
When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.
I need help!!!! What is x
Answer:
x=58 degrees
Step-by-step explanation:
The angle is a right angle (90 degrees)
90-32=58
Answer:
58 degrees.
Step-by-step explanation:
This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
PLEASE help ASAP will give brainliest
Answer:
1.Understand the problem
2.Gather your resources
3.Come to answer
4.Check your answer and present solution
Step-by-step explanation:
Answer:
Number 1 is gather your resources
Number 2 is understand the problem
Number 3 is come to an answer
and number 4 is check your answer and present the solution
how to simply this equation
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
18
9 . 2
3 3
Some trapezoids are rectangles true or false
Answer:
False.
Step-by-step explanation:
A trapezoid is only ONE pair of parallel sides, not two.
Polygon v has an area of 1 square unit. Jun-seo drew a scaled version of polygon v using a scale factor of 7 and labeled it polygon w
Answer:
The area of Polygon
W
WW is
49
4949 square units.
Step-by-step explanation: dk
Scale factors are used to enlarge or reduce the size of a shape
The area of polygon w is 49 square units
The area of polygon v is given as:
[tex]v =1[/tex]
The scale factor of the sides of polygon v, that forms polygon w is given as:
[tex]k=7[/tex]
The area of polygon w is then calculated as:
[tex]w =v\times k^2[/tex]
So, we have:
[tex]w =1\times 7^2[/tex]
Evaluate the exponents
[tex]w =1\times 49[/tex]
Multiply 1 and 49
[tex]w =49[/tex]
Hence, the area of polygon w is 49 square units
Read more about scale factors at:
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If a figure is translated 5 units down and 3 units right, how do you represent it algebraically
Answer
(x+3) -5
Step-by-step explanation:
plug the values into the parent transformation equation to its rightful places
what is 2 + 2? and how does that work
Answer:
4
Step-by-step explanation:
According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."
I need help to find the volume
Answer:
224ft^3
Step-by-step explanation:
l*w*h= volume
Answer:
The Volume is 224
Step-by-step explanation:
w * h * l
ABC is a straight angle.which equation can be used to find the measure of the unknown angle?
Answer:
Straight angles are all 180 degrees, so it must be an equation that equals 180. I hope that this helps! be saffffeee!
Answer:
140 x 180
Step-by-step explanation:
Explain what the similarities and difference between y=2cosx and y=2cosx-3.
Answer:
(See explanation for further details)
Step-by-step explanation:
Similarities: Both expression have the same slope for the same values of x.
Difference: The second expression is a translated form of the first function in -3 units.
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
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