In 1/6 hour, 1/10 inch of snow fell.
So to find the unit rate per hour, we need to make a proportion.
\(\frac{\frac{1}{6} }{\frac{1}{10} } = \frac{1}{x}\)
1/6 is 10 minutes out of an hour so 6/6 or 1 would be an hour.
We can cross multiply. 1/10 * 1 = 1/10, 1/6 * x = 1/6x
1/6x = 1/10
Divide both sides by 1/6 to isolate x.
x = 3/5
Every hour, 3/5 inch of rain will fall.
HELP PLS A circular hole has been drilled through a cylinder as shown. What is the approximate volume of the remaining solid? Use 3.14 for π
Answer:
The question has some missing details such as ; Use cylindrical shells to find the volume of the remaining solid if the remaining solid is 8cm high. I have however solved it using the value of 8cm, you can use the same approach to solve for the volume irrespective of the value of the height you are given.
Step-by-step explanation:
The detailed step by step analysis and appropriate Integration by susbtitution in order to get the volume of the remaining solid is as shown in the attached file.
Answer:
126
Step-by-step explanation:
\(V = A * h = \frac{1}{4} * \pi * d^{2} * h = A * h = \frac{1}{4} * 3.14 * 36 * 5 = 141.3\\ \\V_{empty} = A * h = \frac{1}{4} * \pi * d^{2} * h = \frac{1}{4} * \pi * 4 * 5 = 15.7\)
\(V_{full} = V - V_{empty} = 141.3 - 15.7 = 125.6 \approx 126\)
Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer:
c = 8
Step-by-step explanation:
Using the Intersecting Chords Theorem, we can form the following equation and solve for c:
\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)
Find an expression which represents the difference when (4x – 2y) is subtracted
from (4x – 5y) in simplest terms.
Answer:
-3y
Step-by-step explanation:
"(4x – 2y) subtracted from (4x – 5y)"
(4x – 5y) - (4x – 2y) =
Drop the first set of parentheses since it is unnecessary.
= 4x – 5y - (4x – 2y)
Distribute the negative sign to the left of the parentheses by changing each sign inside the parentheses.
= 4x – 5y - 4x + 2y
Combine like terms.
= 4x - 4x - 5y + 2y
= 0 - 3y
= -3y
The expression -3y represents the difference when (4x – 2y) is subtracted
from (4x – 5y).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expressions are,
4x - 2y and 4x - 5y
To find the expression, which represents the difference between, 4x - 2y and 4x - 5y.
Subtract 4x - 2y from 4x - 5y.
4x - 5y - (4x - 2y)
4x - 5y - 4x + 2y
0 - 3y
-3y
The required expression is -3y.
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Z varies directly as x^3 and inversely as y^3. If z=167 when x = 3 and y=10, find z if X=4 and y=6
Answer is 1832.7
step by step
z=kx^3 / y^3
167=27k/1000
k=16700/27
k=6185.2, then
z=6185.2×4^3/6^3
z=6185.2×64/216
z=1832.7
Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in the direction of v.
Initial point:
(1, 6, 0)
Terminal point:
(4, 1, 6)
The component form of the vector is <3, -5, 6>, the magnitude of the vector is √70, then the unit vector is <0.386, -0.643, 0.643>.
The initial and terminal points to find the component form of the vector, calculated its magnitude, and then divided the component form by the magnitude to find a unit vector in the direction of v.
To find the component form of the vector, you can subtract the coordinates of the initial point from the coordinates of the terminal point. In this case, we have:
v = (4, 1, 6) - (1, 6, 0)
v = (3, -5, 6)
So the component form of the vector is v = <3, -5, 6>.
To find the magnitude of the vector, we can use the formula:
|v| = √(3² + (-5)² + 6²)
|v| = √70
Therefore, the magnitude of the vector is √70.
Finally, to find a unit vector in the direction of v, we can divide the component form of v by its magnitude:
u = v/|v|
u = <3/√70, -5/√70, 6/√70>
So the unit vector in the direction of v is u = <0.386, -0.643, 0.643>.
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Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns half as much.
If she deposited $500 in each account, how much total interest will she have earned in 4 years?
Answer:
$127.50
Hope this helps:)
Unit 4: Congruent Triangles Homework 4: congruent Triangles
It should be noted that congruent triangles simply mean the triangles that possess the same size and shape.
Congruent triangles.Your information is incomplete. Therefore, an overview of congruent triangles will be given. Congruent triangles imply that the corresponding sides and angles are equal.
In this case, two triangles are congruent if they've exactly the same three sides and exactly the same three angles. The three rules for congruent triangles include:
The three sides are equal (SSS).Two angles are the same and the corresponding side is also the same. (ASA).Two sides are equal and the angle between them is equal (SAS).Learn more about triangles on:
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What value of c in the equation cx+4y=12 would give the equation a slope of 8? please help me
Answer:
1cy
Step-by-step explanation:
c(8)+4y=12
8c+4y=12
12cy /12cy=12 /12cy
1cy
I NEED HELP ASAP, I DON'T UNDERSTAND THIS PROBLEM!!!!!
Answer:
1
Step-by-step explanation:
Cosine is a trigonometric function that is represented by adjacent divided by the hypotenuse. The side adjacent to angle A is AC and the hypotenuse is AB, so we can say cos(A) = \(\frac{AC}{AB}\). We can do the same for angle B. The side adjacent to it is BC, and the hypotenuse is again AB. So, we can say
cos(B) = \(\frac{BC}{AB}\). We are solving for \(\frac{cosA}{cosB}\), so we can substitute the value of those two and solve:
\(\frac{\frac{AC}{AB}}{\frac{BC}{AB} }\)
\(\frac{AC}{AB} * \frac{AB}{BC} = \frac{AC}{BC}\)
AC is given to be 3 and BC is also 3, so \(\frac{AC}{BC}\) is \(\frac{3}{3}\) which is just 1.
19. Find the mean, median, and mode for the following
data set:
28 -31 26 0 31 -23
Answer:
Step-by-step explanation:
Mean=38+-31+26+0+31+-23/6=31/6
Median=26+0/2=13
Mode=none
[3r-15] if r is less than 5
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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PLEASE HELP!!!!!
the figure shows a triangle with unknown angles.
which equation shows the relationship between the exterior angle and the interior angles?
A) m∠2=m∠1+m∠4
B) m∠2=m∠3+m∠4
C) m∠4=m∠1+m∠2
D) m∠4=m∠2+m∠3
PLEASE LOOK AT PICTURE!!!!!!
Answer:
C)
Step-by-step explanation:
∠3 and ∠4 are supplementary (add up to 180)
∠1 + ∠2 + ∠3 = 180 (sum of interior angles of a triangle is 180)
Therefore:
∠4 + ∠3 = ∠1 + ∠2 + ∠3 = 180 ∠3 drops out b/c it's added to both sides
∠4 = ∠1 + ∠2 choice C
Answer:
the answer is c
Step-by-step explanation:
I just did it and got it correct
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1100 bacteria selected from this population reached the size of 1177 bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answer:
Rate = 10^(log[Ending Amount / Beginning Amount] ÷ time) -1
Rate = 10^(log(1177 / 1100) ÷ time) -1
Rate = 10^(log( 1.07) ÷ 3) -1
Rate = 10^(0.029383777685 /3) -1
Rate = 10^(0.0097945926) -1
Rate = 1.0228091219 -1
Rate = .0228091219% / hour
Source http://www.1728.org/expgrwth.htm
Step-by-step explanation:
What is the constant of proportionality that relates y, the total cost in
dollars, to x, the number of tickets purchased>
Becky is making 1/2 batch of chocolate chip cookies. The recipe calls for cup 7/8 chocolate chips. How much chocolate does Becky need?
Answer:
3/8 chocolate chips
Step-by-step explanation:
1/2 needs to have the same denominator as 7/8
2 * 4 = 8 (denominator) but what you do for the denominator has to apply for the numerator.
1 * 4 = 4 (numerator)
so now you successfully converted 1/2 to 4/8.
Now you solve, total - items you have = how much you need
7/8 - 4/8 = 3/8
Work out 30% of $150
Answer:
$\(45\)
Step-by-step explanation:
\(30\)% \(\mathrm{of}\) $\(150\)
\(=\frac{30}{100}\times 150\\\)
\(=\) $\(45\)
Graphing Quadratic Functions 1. List a, b, and c. 4. What is the y-intercept? 5. Create a table and graph. X f(x) Quadratic Function f(x) = x² - 2x + 6 2. Find the axis of symmetry. F Y 10 9 8 7 6 5 4 3 2 1 -9-8-7-6-5-4-3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 3. Find the vertex. tx 1 2 3 4 5 6 7 8 9 10 X
The value of a, b, and c are 1, -2, and 6 respectively.
The y-intercept of this quadratic function is 6.
The axis of symmetry of this quadratic function is 1.
The vertex of this quadratic function is (1, 5).
How to calculate the axis of symmetry of a quadratic function?Mathematically, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:
Axis of symmetry, Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² - 2x + 6, we have:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2 = 1.
Vertex (h, k) = (1, 5).
In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).
y-intercept = 6.
Lastly, we would create a table and then graph the quadratic function as follows;
x y
0 6
2 2
5 11
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What is the solution for x in the equation?
-3x+7x-8 = 34+9x-2
OA =
8
OB.
OC. * = -8
OD. = 8
*
118
Answer:
10
Step-by-step explanation:
-3x+7x-8=34+9x-2
(Combine like terms)
4x-8=32
(Add 8 to each side)
4x=40
(Divide by 4)
X=10
)an angle is created from points b, a, and c. a circle with a center of a has a radius of ab and intersects with rays ab and ac. another ray is created from points d and e. a circle has been created from point d that is congruent to circle a.joanne is copying angle abc with technology. which of the following describes her next step? (1 point)
By connecting points D, E, and the intersection point, Joanne will have successfully copied angle ABC with technology.
Angles are mathematical concepts that are used to describe the amount of rotation between two rays. Angles are measured in degrees and are usually represented by the symbol "°".
In the scenario described, Joanne is trying to copy angle ABC using technology. To do this, she needs to take the following steps:
Create circle A with center A and radius AB.
Draw rays AB and AC so that they intersect the circle at two points, B and C respectively.
Create another ray from points D and E.
Create circle D with center D that is congruent to circle A.
Now, in order to copy angle ABC, Joanne needs to find the intersection point of the new ray and circle D. This point will be the corresponding point of C in the new angle.
This point will be the corresponding point in the copied angle, and it can be found by using geometric concepts such as lines, circles, and angles.
Complete Question:
Joanne is copying angle ABC with technology. Which of the following describes her next step?
Draw a circle with a center F and a radius equal to BG.
Draw the point of intersection between circle D and ray DE.
Draw ray DE away from angle BAC. Draw the points of intersection between circle D and circle A.
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What is the solution to this? Thank you for helping me 8 divided by 1 4/5
Answer:
40 /9 or also can be written as 4 4/9
Step-by-step explanation:
hope this helps
what is the solution set of the inequality x+2/2≥-7-x/2
Answer:
\(x\geq - \frac{16}{3}\)
Step-by-step explanation:
x +2/2 ≥ -7 - x/2
= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).
Ace Carlos
Answer:
\(x\geq \frac{-16}{3}\)
Step-by-step explanation:
On his road trip, Leon stops to refuel and get some snacks. He has the following purchases:
12 gallons of gas at of $2.89 per gallon
2 granola bars for $1.59 each
1 apple for $0.89
2 bottles of vitamin water for $1.39 each
Leon must pay 7.5% sales tax on everything but the gas, which already has tax included in the per gallon price. If
Leon paid $44.64, then he
for his purchase.
a. did not pay enough
b. paid the correct amount
C.
paid $2.60 too much
d.
paid $3.11 too much
Please select the best answer from the choices provided
The correct option is that;
C. Leon overpaid for his purchase by $2.60 if he paid $44.64.
What is the difference between a sales tax and a use tax?The vendor, who is acting as the state's agent, collects the sales tax and remits it to the state on behalf of the final customer. The use tax, on the other hand, is self-assessed and paid by the final customer.
Given that;
Purchase fuel = 12 Gallons per $2.89 per gallons (including Tax)
2 Granola Bar for $1.59 per bar
1 apple for $0.89
2 bottles of vitamin water for $1.39
The sales Tax rate is 7.5%
Required to calculate the difference amount of Actual Paid and Actual Purchase =?
Fuel = 12 x 2.89 = $34.68 (including tax)
Granola Bar = 2 x 1.59 = $3.18
Apple = 1 x 0.89 = $0.89
Vitamin Water = 2 x 1.39 = $2.78
Total Purchase excluding fuel without tax is,
= $3.18 + $0.89 + $2.78
= $6.85.
Adding sale tax on $6.85 at the rate of 7.5% = $7.36
Hence, Total Purchase including Tax is,
$7.36 + $34.68 = $42.04
Thus, there is a clear difference that Leon paid 2.60 more than his actual purchase. He paid $ 44.64 and his actual purchase is 42.04 the difference between that is $2.60.
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awnser asap and be correct, there ate two parts
The way to compare the value of the exponent is
C. Write each power as repeated multiplication. Then, evaluate and compare their values.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number
Based on the information given, it should be noted that the numbers given are 7² and 2^7.
7² = 7 × 7 = 49
2^7 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
Therefore, 2^7 is more than 7² after evaluation.
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please
\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help
t Park Junior High, 10%, or 160, of the students, play a musical instrument. How many students attend the school?
A tape diagram. StartFraction part Over whole EndFraction = StartFraction 10 Over 100 EndFraction = StartFraction 160 Over question mark EndFraction
Which statements are correct? Check all that apply.
The total number of students is 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction
There are 1,600 students in the school.
There are 250 students in the school.
Answer:
The total number of students is > 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
There are 1,600 students in the school.
Step-by-step explanation:
got is correct
Answer:
2,3,5 for eg. 2020
Step-by-step explanation:
Mai made $216 for 18 hours of work.
At the same rate, how many hours would she have to work to make $96?
Answer:
8 hours
Step-by-step explanation:
216 ÷ 18 =12 that means Mai gets paid $12 an hour so take the $96 and ÷ by 12 and you get 8 hours
Answer:
Step-by-step explanation:
First you do 216 divided by 18 which is 12.
Now we know she makes 12 dollars an hour.
Next you divide 96 by 12 because that's how much Mai makes in an hour. 96 divided by 12 is 8 so she would have to 8 hours in order to make 96 dollars.
A store sells previously viewed movies. The table shows the cost of buying 1, 2, 3, or 4 movies.
a. Which mapping diagram represents the data in the table
Question 2
b. Is the relation a function? Explain.
Each input has exactly one output. Therefore, the relation is a function.
Question 3
c. Describe the pattern. How does the cost per movie change as you buy more movies?
The pattern is that for each input
increase
of
1
, the output
increases
by $1,2,3,4,6,12
less than the previous increase. For each additional movie you buy, your cost per movie
decreases
by $1,2,3,4,6,12
how much did the output increase in dollars and how much did the movie decrease
A relation may or may not represent a function.
The relation of the movie and its costs is a function.The pattern is that, as unit cost of each movie decreases as the number of movies increases.The costs are given as:
1 movie costs $102 movies cost $183 movies cost $244 movies cost $28(a) The mapping diagram
To do this, we simply point the number of movies, to the corresponding costs, using arrows
See attachment for the mapping diagram.
(b) Is the relation a function
From the attached mapping, we can see that:
The costs of each movie are different.
This means that: the relation is a function.
(c) Describe the pattern
Notice that as the number of movies increases, the cost also increases;
However, the unit cost decreases.
Hence, the unit cost of each movie decreases as the number of movies increases.
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*Graphing linear equations using a table*
Graph y = x + 3
Answer:
Hi... Do this for solve
Find the domain of the rational expression: 6-x/4x+20
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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Quien fue el dueño de bmw
Answer:
Susanne Klatten y Stefan Quandt
Step-by-step explanation:
Espero que haya ayudado