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Find the measure of AB.
A 21
B 14
C 20
D 22
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 2 feet high?
Answer:
[tex]\frac{2}{9\pi}ft^3/min[/tex]
Step-by-step explanation:
Given
[tex]\frac{dV}{dt}=2ft^3/min\\ \\\frac{dh}{dt}=?\\ \\V_{cone}=\frac{1}{3}\pi r^2h\\\\d=2r=3h\\\\\frac{d}{2}=r=\frac{3}{2}h\\\\h=2[/tex]
Calculation
[tex]V=\frac{1}{3}\pi r^2h\\ \\V=\frac{1}{3}\pi(\frac{3}{2}h) ^2h\\\\V=\frac{1}{3}\pi(\frac{9}{4}h^2)h\\ \\V=\frac{9}{12}\pi h^3\\ \\V=\frac{3\pi}{4}h^3\\ \\\frac{dV}{dt}=\frac{9\pi}{4}h^2\frac{dh}{dt}\\ \\2=\frac{9\pi}{4}(2)^2\frac{dh}{dt}\\ \\ 2=9\pi\frac{dh}{dt}\\ \\ \frac{2}{9\pi} =\frac{dh}{dt}[/tex]
Therefore, the rate that the height of the pile is changing when the pile is 2 feet high is [tex]\frac{2}{9\pi}ft^3/min[/tex].
Dan has a board that is
8 3/4
feet long. He cuts off
4 5/6
feet and says he has
4 1/12
feet left. Which of the following explains whether Dan is correct?
Answer:
He is wrong.The answer is 3 11/12.Step-by-step explanation:
Given equation:
8 3/4 - 4 5/6Simplify:
8 9/12 - 4 10/12Solve:
8 - 4 = 4= 9/12 - 10/12= 21/12 - 10/12= 11/12= 3 + 11/12= 3 11/12.He is wrong.
He was off by 3 digits.
Your cell phone costs $50 a month plus $0.25 for each text message, (t). How much would your monthly bill be if you sent 40 text messages?
Your total monthly bill would be $____
if you sent 40 text messages.
Answer:
$60
Step-by-step explanation:
40 text messages × .25 each = $10. Plus the $50 per month is $60.
Answer:
it should be $60 a month
What is an equation of the line that passes through the points (-6, 5) and (6, 7)?
Answer:
[tex]y=\frac{1}{6}x+6[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(-6,5)[/tex] and [tex](x_2,y_2)\rightarrow(6,7)[/tex]
Determine slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}[/tex]
Use either ordered pair to find the y-intercept
[tex]y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b[/tex]
Final equation
[tex]y=\frac{1}{6}x+6[/tex]
Find the value of b.
A 57
B 50
C 123
D 61.5
Answer: The answer is 50
Step-by-step explanation:
I did the test
Help need because i´m stuck
Answer:
594 in²
Step-by-step explanation:
There are several ways to do this.
divide the shaded region into rectangles, and add their areasdivide the shaded region into trapezoids and add their areassubtract the white space from a bounding rectangle.Given the way the figure is dimensioned, the last strategy is the easiest.
A rectangle that surrounds the entire figure will be 36 inches wide and 22 inches high. The white space rectangle in the lower right corner is shown to be 18 inches wide and 11 inches high.
The area of a rectangle is the product of its length and width:
A = LW
So the difference in area between the "bounding" rectangle and the whitespace rectangle is ...
shaded area = (36 in)(22 in) -(18 in)(11 in) = 792 in² -198 in²
shaded area = 594 in²
_____
Additional comment
You can also recognize that the dimensions of the cut out corner are each half the overall dimensions. That means the shaded area is 3/4 of the overall "bounding" rectangle. There are several ways you can make use of that fact.
Hi everyone same as a while ago please help me with this :))) (with solution plzz) Thank you!
6.) Convert 820 cg to g.
7.) Convert 3.8 L to mL.
8.) Convert 56000 cL to L
9.) Convert 63 dL to mL.
10.) Convert 12 in to cm
11.) Convert 4 mi to ft.
12.) Convert 16 ft to cm.
(You don't have to answer all of them , Half of it is ok like 9-12 ) Thank you
Answer:
6. 8.2g
7. 3800 ml
8. 560 L
9. 6300 ml
10. 30.48cm
11. 21120 ft
12. 487.48cm
Step-by-step explanation:
820 ÷ 100
3.8 × 1000
56000 ÷ 100
63 × 100
12 × 2.54
4 × 5280
16 × 30.48
Please mark me as brainliest
NO LINKS!! Which graph illustrates even symmetry? Odd symmetry? Please support your response.
Answer:
a) odd
b) even
Step-by-step explanation:
a) It is an odd symmetry because it is symmetric about the origin, meaning if you rotate an odd function 180° around the origin, you will have the same function you started with.
b) It is an even symmetry because it reflects over the y-axis. The left and right looks the same.
What solution value satisfies the compound inequality x - 1 < -7 or x/4 > 1?
Answer:
x > -6 or x > 4
Answer: B. x = –8
Step-by-step explanation:
The area of a parallelogram is 48 ft. If the base of the parallelogram is 8 feet, what is its height?
8 feet
6 feet.
5 feet
7 feet
[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ A=48\\ b=8 \end{cases}\implies 48=8h\implies \cfrac{48}{8}=h\implies 6=h[/tex]
PLEASE HELP QUICKLY 10 BRAINLY POINTS
The student store buys one dozen pencils for 96¢ and sells them for 20¢ each. How much profit does the store make on a dozen pencils?
Group of answer choices
$0.12
$1.44
$0.24
Answer: $1.44
Step-by-step explanation:
Please help me with this question
Answer:
13.5m/s
Step-by-step explanation:
formula is v=u + at
as given:
u=3m/s
a=1.5m/s²
t=7secs
v=3+1.5(7)
v=3 + 10.5
v = 13.5m/s
The unit for velocity is m/s
Answer:
a) 87
b) 13.5
Step-by-step explanation:
for the first question we've been given the equation and the parameters needed
so we just input the parameters
3a+4b when a is 17 and b is 9
therefore the answer is 3*17 + 4*9
51+36=87
second question
that's an equation of motion and we've been given all the parameters we also need so we just input the parameters In the equation
v=u+at
v=3+1.5*7
v= 3+10.5
v=13.5
The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree?
Answer:
The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.
Step-by-step explanation:
Use the figure to solve the inequality
Answer:a hope this helps
Step-by-step explanation:
Could you please list all 6 answers below? 30 points and Brainliest if you answer. You have to put them in simplest form.
1. 3/8 x 4/11
2. 8/15 x 5/6
3. 7/12 x 3/14
4. 9/20 x 4/5
5. 7/10 x 20/21
6. 8/18 x 9/20
Answer:
[1] [tex]\frac{3}{22}[/tex]
[2] [tex]\frac{4}{9}[/tex]
[3] [tex]\frac{1}{8}[/tex]
[4] [tex]\frac{9}{25}[/tex]
[5] [tex]\frac{2}{3}[/tex]
[6] [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[1] Using the given fractions,
3/8×4/11
Applying the fractions formula for multiplication,
=3×4/8×11
=12/88
Simplifying 12/88, the answer is
=3/22
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋ
[2] Using the given fractions,
8/15×5/6
Applying the fractions formula for multiplication,
=8×5/15×6
=40/90
Simplifying 40/90, the answer is
=4/9
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[3] Using the given fractions,
7/12×3/14
Applying the fractions formula for multiplication,
=7×3/12×14
=21/168
Simplifying 21/168, the answer is
=1/8
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[4] Using the given fractions,
9/20×4/5
Applying the fractions formula for multiplication,
=9×4/20×5
=36/100
Simplifying 36/100, the answer is
=9/25
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[5] Using the given fractions,
7/10×20/21
Applying the fractions formula for multiplication,
=7×20/10×21
=140/210
Simplifying 140/210, the answer is
=2/3
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[6] First:
Reduce fractions where possible.
Then your initial equation becomes:
4/9×9/20
Applying the fractions formula for multiplication,
=4×9/9×20
=36/180
Simplifying 36/180, the answer is
=1/5
[RevyBreeze]
Your most trustful answer
Answer these questions about the steps of simplifying this rational expression:
Part A What is the GCF of the terms in the numerator and denominator? Rewrite the expression by factoring out any common factors.
Part B Write the quadratic expressions in the numerator and the denominator in factored form.
Part C Cancel the common factor of the numerator and the denominator to write the expression in simplified form.
Answer:
x²
Step-by-step explanation:
4x²-14x+6
x²-7x²+12x
=2×2×x×x-2×7×x+2×3
x×x×x-7×x×x+2×2×3
= -2+2
x×x
the 2s cancle each other
= x²
Kelly is taking a cross-country road trip. She was able to drive 325 miles in 2 days. If her car gets 30 miles to the gallon, how many gallons of gas did she use for the trip?
Answer:
the awnser is 19,500
Step-by-step explanation:
you multiply 325 × 2=650 then you multiply 30×650=19,500
What do I supposed to do ?
Answer:
Just add the 2 fractions that were mentioned
Step-by-step explanation:
turn 6 1/2 into an improper fraction and then add it to 5/8 by finding a common denominator
so it would be like -
13/2 + 5/8 = 52/8 + 5/8 = 57/8 = 7 1/8
Answer:
6 1/2 + 5/8 = 57/8 = 7 1/8 = 7.125
Step-by-step explanation:
Conversion a mixed number 6 1/2
to a improper fraction: 6 1/2 = 6 1/2 = 6 · 2 + 1/2 = 12 + 1/2 = 13/2
To find a new numerator:
a) Multiply the whole number 6 by the denominator 2. Whole number 6 equally 6 * 2/2 = 12/2
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Six and one half is thirteen halfs
Add: 13/2 + 5/8 = 13 · 4/2 · 4 + 5/8 = 52/8 + 5/8 = 52 + 5/8= 57/8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen halves plus five-eighths = fifty-seven eighths.
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
5x=y=7- 20-49:22
+ = 14
21 x = 42
2x-y=5
4x+2y=-10
x + 4y = 14
What is the value of y in this system?
Hint: Plug in the value of x to find y.
3
-2
-3
2
Answer:
(Q.1) No solution
(Q.2) True
(Q.3) x = 4 - 2y
(Q.4) True
Step-by-step explanation:
(Q.1) As shown in the first attached figure.
By graphing. x + 2y = 8 & x + 2y = -4
The two lines are parallel, there is no intersection points between the lines.
So, there is no solution to the system of equations.
Also, we should note the parallel lines have the same slope
to find it make the equation similar to y = mx + c where m is the slope
at this situation m = -1/2
===================================================
(Q.2) As shown in the second attached figure.
By graphing the system of inequalities y> -3x+2 & y<2x+1
The Shaded area represents the solution of the system of inequalities
And the point (4,2) is inside the shaded area
So, The ordered pair (4,2) is a solution to the system of inequalities.
====================================================
(Q.3) solving the system { x+2y=4 & 2x+2y=6 } by substitution
From the first equation x + 2y = 4
we will find x in terms of y then plug it into the second equation
So, x + 2y = 4 ⇒ x = 4 - 2y
=====================================================
(Q.4) As shown in the third attached figure.
By graphing. 2x + 4y = 8 & x + 2y = 6
The two lines are parallel, there is no intersection points between the lines.
So, there is no solution to the system of equations.
Also, we should note the parallel lines have the same slope
to find it make the equation similar to y = mx + c where m is the slope
at this situation m = -1/2
Which expression is equivalent to
Answer:
10³⁰
Step-by-step explanation:
firstly working out without the power of 3
[tex]( \frac{10 {}^{15} }{10 {}^{5} } )[/tex]
this is the same as 10¹⁵ ÷ 10⁵
here the bases are the same and it's division so we subtract the powers
15 - 5 = 10
10¹⁵ ÷ 10⁵ = 10¹⁰
we are left with (10¹⁰)³, multiply the powers
10 × 3 = 30
final answer = 10³⁰
Hey there!
(10^15/10^5)^3
10^15
= 1,000,000,000,000,000
10^5
= 10 * 10 * 10 * 10 * 10
= 100 * 100 * 10
= 10,000 * 10
= 100,000
(1,000,000,000,000,000/100,000)^3
= (10,000,000,000)^3
= 10,000,000,000 * 10,000,000 * 10,000,000
= 100,000,000,000,000,000 * 10,000,000
= 10^30
Therefore, your answer is: 10^30
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
make L and h the subject of formula
[tex]V = \frac{1}{2} LBH[/tex]
Answer:
[tex]V = \frac{1}{2} LBH \\ \\ \\ LH =V \div ( \frac{1}{2} B) \\ \\ LH =V \times \frac{2}{B} \\ \\ \\LH = \frac{2V}{B} [/tex]
help me its hard for me and brainleist because I only have 2 minutes
Answer:
y=x+14
Step-by-step explanation:
Let us check if this is the answer:
the first numbers in the table are 0 and 14
0 plus 14 equals 14.
Now the next two numbers on the table:
1 plus 14 equals 15
And one more: the third numbers on the table:
2 plus 14 equals 16
-----does this make sense? need more explination? then let me know
im really struggling to finish this asap. help would rlly be appreciated :)
(43 + 4x) / 2 = 32
43 + 4x = 64
4x = 21
x = 21 / 4
x = 5.25
If f(x) = 2x + 1 and g(x) = x^2, the function (gοf)(x) is:
Answer:
4x² + 4x + 1
Step-by-step explanation:
to evaluate (g ￮ f)(x) , substitute x = f(x) into g(x)
g(f(x))
= g(2x + 1)
= (2x + 1)² ← expand using FOIL
= 4x² + 4x + 1
Determine f(-a) where f(x) = x2 - 6x and simplify.
Answer:
6a
Step-by-step explanation:
replace x with -a
-2a -6(-a)
-2a +8a
6a
Suppose that X stands for a temperature in degrees Celsium, Y the same temperature in degrees Fahrenheit. So: Y = (9/5)*X + 32
Let E(X)=10 and Var(X)=2, Find E(Y) and Var(Y).
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
Temperatures measurementGiven the formula for temperature conversion expressed as:
Y = (9/5)*X + 32
where:
X stands for a temperature in degrees Celsius,
Y the same temperature in degrees
If E(X) = 10, then;
Y = (9/5) * 10 + 32
Y = (9*2) + 32
Y = 18 + 32
Y = 50
Hence E(Y) = 50
If Var(X) = 2
Y = (9/5) * 2 + 32
Y = 18/5 + 32
Y = 178/5
Hence Var(Y) = 50
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
Learn more on temperature here: https://brainly.com/question/894531
What is the slope intercept form of the equation of the line passing through (1,2) and (3,10).
Answer:
y = 4x - 2
Step-by-step explanation:
slope = (10 - 2)/(3 - 1) = 8/2 = 4
Let the equation be y = 4x + b
Sub (1, 2) into it,
2 = 4*1 + b
so b = 2 - 4 = -2
The equation is y = 4x - 2
Ed hiked 3 kilmometers on Saturday and swam 2 kilometers on sunday. How many total meters did ed hike and swim on saturday and sunday ?
Answer:
5000 meters
Step-by-step explanation:
kilometers to meters=1km to 1000m
so 5km to 5000m
The total meters did ed hike and swim on Saturday and Sunday 5000 meters.
We have given,
Ed hiked 3 kilometers on Saturday and
Swam 2 kilometers on Sunday.
What is the value of one kilometer?Kilometers to meters
1km = 1000m
We have to find the total distance Ed hiked and swam on Sunday and Saturday,
Total distance=3km +2km
=3km +2km
=5km
1km=1000m.
So 5km to 5000m.
To learn more about the distance visit:
https://brainly.com/question/17273444
1+2*3-4. Please answer
Answer:1(2x3)-4= 3
2x3= 6 -4=2+1=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2x3=6
1+6=7
7-4=3