Answer:
24
Step-by-step explanation:
Varies directly means that something constant times l equals V or V=kl where k is that constant.
Plug in point given 288=k(12) and solve the constant of proportionality by dividing both sides by 12.
k=288/12=24
Which figure repeats in the tessellation shown below?
Answer:
B???
Step-by-step explanation:
Answer:
The correct option is A. Figure B repeats in the tessellation shown below.
Step-by-step explanation:
Tessellation can be defined as the arrangement of geographical patterns that are closely attached together to form a particular pattern.
The given figure is formed by the arrangement off figure B.
This large pattern is formed by the repetition of this smaller pattern,
Figure B repeats in the tessellation shown below. Therefore, the correct option is A.
Find the lateral area for the cylinder with the given measurement
r= 4, h= 5
20 Pi square units
40 Pi square units
80 Pi square units
[tex]\bf \textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=5 \end{cases}\implies LA=2\pi (4)(5)\implies V=40\pi[/tex]
Write the rule for finding a point translated vertically k units up. 2. Use this rule to find the coordinates for (−3, −6) when translated 5 units up.
Answer:
Rule is (x, y+k)
New point is (-3,9)
Step-by-step explanation:
A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units
This can be represented mathematically as;
Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.
Given ;
[tex]A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)[/tex]
where T is the translation
In the question
Given (-3,-6) and T is (0,5) the new coordinate will be
[tex]=(\frac{-3}{4}) +(\frac{0}{5} )=\frac{-3}{9} =(-3,9)[/tex]
ABCD is a parallelogram. What are the measures of angles B and C? b=(3n+20) D= (6n-25)
Answer:
B = 65
C = 115
Step-by-step explanation:
Givens
ABCD is a parallelogram
It is lettered in such a way that B is opposite D
B = 3n+20
D = 6n-25
Solution
<B = <D Property of Parallelogram
3n + 20 = 6n - 25 Add 25 to both sides
3n + 20 + 25 = 6n Combine
3n +45 = 6n Subtract 3n from both sides
3n +45 = 6n-3n Combine
45 = 3n Divide by 3
45/3=3n/3
n = 15 Value of n
B = 3n + 20 Find B. Let n = 15
B= 3*15+20 Combine
B = 45 + 20 Combine
B = 65
==================
B and C are supplementary. They add up to 180
B + C = 180
65 + C = 180
C = 180-65
C = 115
How to did a volume of a cylinder
Base x height
To find the base, do pi r squared.
What is the product?
(2x – 1)(х + 4)
О2x? – 4
О 2х2 + 4
ОООО
02x2 +7x – 4
2х2 -7x - 4
simplify 8BC - 9BC + 10BC - 6BC
Answer:
3BC
Step-by-step explanation:
8BC - 9BC + 10BC - 6BC = BC(8 - 9 + 10 - 6) = BC(3) = 3BC
There you go in the attached.
what is the equation for the line that passes through the points (4,2) and (0,6)?
Answer:
The equation is y=-x+6.
Step-by-step explanation:
To find the slope of this equation, we use the equation m=y2-y1/x2-x1, where m is the slope. Take one y coordinate and subtract it from the other and do the same with the x coordinates. Then, divide the difference of the y coordinates by the difference of the x coordinates. For example, 6-2/0-4. This gets us 4/-4. You can also do 2-6/4-0 which gets us -4/4. No matter what, we get -1 for each (we don't include the 1 in front of the x). To find the y-intercept, plug in the coordinates. For example, do 6=0(-1)+b or 2=4(-1)+b. No matter which you use, you get an answer of b=6. This gives you an equation of y=-x+6. Hope this helps :)
The equation of the line that passes through the points (4,2) and (0,6) is y = 6 - x
To determine the equation for the line that passes through the points (4,2) and (0,6),
We will use the formula for the determining the equation of a line with two given points
The formula for the determining the equation of a line with two given points is
[tex]\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
The given points are (4,2) and (0,6)
Therefore,
x₁ = 4
y₁ = 2
x₂ = 0
y₂ = 6
Now, putting these into the formula,
We get
[tex]\frac{y-2}{x-4}=\frac{6-2}{0-4}[/tex]
This becomes
[tex]\frac{y-2}{x-4}=\frac{4}{-4}[/tex]
[tex]\frac{y-2}{x-4}=-1[/tex]
Then, the equation becomes
[tex]y-2 = -1(x-4)[/tex]
[tex]y-2 = -x +4[/tex]
[tex]y = 4+2-x[/tex]
[tex]y = 6-x[/tex]
Hence, the equation of the line that passes through the points (4,2) and (0,6) is y = 6 - x
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Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt, to solve for Brian's time in minutes.
A.1 minute
B.7 minutes
C.60 minutes
D.420 minutes
To cover the distance of 14 miles at a speed of 14 miles per hour Brian will take 1 hour means 60 minutes.
What is speed?The speed is the rate of distance covered by a person or a vehicle in a particular time.
How to calculate time?We have been given the distance=14 miles
Speed=14 miles per hour
We have also been given the formula of distance which is
d=rt
we have to rearrange it to calculate time
t=d/r
so the time will be calculated as t=14/14
t=1 hour because the speed is of per hour.
Hence Brian will take 60 minutes to cover the required distance.
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Robin and Jim took cherries from a basket . Robin took 1/4 of the cherries and Jim took 1/8 of the cherries. What fraction of the cherries did they took altogether?
Can you please help me and I will get you Brainliest.
Answer:
3/8
Step-by-step explanation:
We must first find the LCD in order to add up the amounts taken from the basket.
The Least Common Denominator of 4 and 8 is 8.
We convert 1/4 so that it is a fraction over 8, which is 2/8
2/8+1/8=3/8
Answer:
3/8
Step-by-step explanation:
We want to find the total amount of cherries that Robin and Jim took
1/4 + 1/8
The common denominator is 8
1/4 *2/2 = 2/8
Replacing 1/4 with 2/8
2/8 + 1/8 = 3/8
The fraction that they took is 3/8
If f(x) =x^2 -2x and g(x) = 6x+4 for which value of c does (f+g)(x)=0
Answer:
c = -2
Step-by-step explanation:
The two functions are given as:
f(x) = x^2 - 2x
g(x) = 6x + 4
To find:
(f+g)(x) = 0
We can evaluate (f+g)(x) using the given functions.
We know that:
(f+g)(x) = f(x) + g(x)
= x²- 2x + 6x + 4
= x² + 4x + 4
Now, we have for x = c:
c² + 4c + 4 = 0
x² + 2c + 2c + 4 = 0
c(c+2) + 2(c+2) = 0
(c+2)² = 0
c+2 = 0
c = -2
Mathieu is finding the x-intercepts of the function f(x) = x2 + 4x + 3. His work is shown below
. Which error did Mathieu make?
Answer:
I can't see Mathieu's work but I will show the right steps and maybe you can find where Mathieu went wrong.
f(x)=x^2+4x+3
f(x)=(x+3)(x+1) Since 3*1=3 and 3+1=4
The x-intercepts can be found by setting y to 0 and solving for x
(in other words replace that f(x) thing with 0 and solve for x)
0=(x+3)(x+1)
Now set both factors equal to 0
x+3=0 or x+1=0
x =-3 x=-1
The x-intercepts are at (-3,0) and (-1,0)
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The x-intercepts of the function f(x) = x² + 4x + 3 can be found as shown below.
f(x) = x² + 4x + 3
0 = x² + 4x + 3
0 = (x+3)(x+1)
x = -3, -1
Now, it can be seen that Mathieu has actually set the factored expressions equal to each other, which was wrong.
Hence, the correct option is C.
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In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
Answer:
72 campers.
Step-by-step explanation:
You can do this with a simple equation. 180% = 1.8 as a decimal fraction. Let x be this year's attendance. Then:
x = 1.8* 40
x = 72 campers.
Answer:
72 Campers
Step-by-step explanation:
Hope this helps:)
which of the following statements is always true about the function y=a•b^x
Answer:
c. When a > 0 and b > 1, the function models exponential growth.
Step-by-step explanation:
You have exponential decay when a > 0 and 0 < b < 1.
The statement that is always true about the function y=a•b^xc is this: C. When a > 0 and b > 1, the function models exponential growth.
What is an exponential growth?Exponential growth is a type of growth that occurs as there is an addition of numbers. This is reflected in the upward movement of the graph if such growth is represented in a graph.
So, the statement that best reflects this meaning of exponential growth is that when in a function, a > 0 and b > 1, then exponential growth is modeled. Thus, the correct option number is C. "When a > 0 and b > 1, the function models exponential growth."
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I don't understand?
Answer:
see explanation
Step-by-step explanation:
The perimeter (P) is the length of all 3 sides of the triangle
The triangle is isosceles with 2 equal sides 20 - 7xy
P = 20 - 7xy + 20 - 7xy + 12 = 52 - 14xy
When x = 2, y = 1, then
P = 52 - 14(2)(1) = 52 - 28 = 24
70 Points!! Question!
Answer:
409.86
Step-by-step explanation:
First find the mark up
230 *65%
230 * .65 = 149.50
The new cost of the tent is the original cost plus the mark up
230 + 149.50
379.50
Now we need to find the tax
379.50 * 8%
379.50 *.08
30.36
The total cost is the cost of the tent plus the tax
379.50 + 30.36
409.86
Answer:
409.86
is the correct answe rfor this question
Jacob bought a magazine for $2.80 and three candy bars. If the candy bars cost $5 each how much did he pay?
Answer: $17.80
Step-by-step explanation:
2.80 + 3(5) = x
2.80 + 15 = x
17.80 = x
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total amount paid by Jacob is $17.8.
What is multiplication?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Jacob bought a magazine for $2.80. Also, three candy bars for $5 each. Therefore, the amount paid by Jacob is,
Amount paid by Jacob = $2.80 + (3 × $5)
= $17.8
Hence, the total amount paid by Jacob is $17.8.
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a state charges 4% sales tax on all purchases and there is a federal tax of 10% on jewelry what will be the cost to the purchase of a $15 bracelet
Answer:
$17.10
Step-by-step explanation:
Bracelet cost $15
4% sales tax: 0.04($15) = $0.60
10% Fed tax: 0.10($15) = $1.50
Summing these three amounts, we get a total cost of $17.10.
(Score for Question : __of 5 points)
1. 15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if3 drink water with their lunch?
(a) Write a proportion for the situation
[b] Solve the problem. Show your work
Answer:
Answer:
(a) 15/3 = 100/x
(b) There are 20 toddlers in the class.
Step-by-step explanation:
(a)
The total number of students is 100% of the students.
Let the total number of students be x.
15% of students is to 3 as 100% of students is to x.
15/3 = 100/x
(b)
15/3 = 100/x
Cross multiply the equation.
15x = 3 * 100
15x = 300
Divide both sides by 15.
x = 20
Answer: There are 20 toddlers in the class.
write the english sentence in 2 variables and then graph,
the y value is 4 less than 5 times the x value
Answer:
y = 5x - 4
see attached for graph
Which equation could be used to find the distance, x, from the foot of the ladder to the base of the house?
Answer:
4,444097208657794
Step-by-step explanation:
c = 20ft
b = 19.5ft
just use the pythagorean theeorem
the number of wheel on a group of buses
The number of wheels on a group of buses involves mathematical calculations and can be analyzed using multiplication, probability, and physics, particularly when combined with other factors such as passenger capacities or mechanical variables like angular velocity of a flywheel within the bus.
Explanation:The question about the number of wheels on a group of buses relates to mathematical calculations, specifically pertaining to multiplication and potentially to probability and combinatorics if one were analyzing how to most efficiently deploy a fleet of buses for transportation or which bus to take based on passenger load and capability.
A practical example of a bus-related math problem would be: if a bus has 6 wheels, then a fleet of 10 buses would have a total of 60 wheels. This is a straightforward multiplication problem (10 buses x 6 wheels per bus = 60 wheels).
In the context of probabilistic analysis, considering a situation where buses have different passenger capacities, we might use the expected value formula E(X) = Σx₁p(x₁) to calculate the best option for transportation based on various factors, including the number of passengers each bus can transport.
Moreover, buses also have a place in physics problems. For instance, calculating the angular velocity a bus's flywheel must have to achieve a certain speed involves understanding the concepts of rotational kinetic energy and its transformation into translational energy. This more complex application lies within the realm of physics but has roots in mathematical computation.
What is the simplified form of square root of 400 to the 100th power ?
Answer:
1.267650600228229401496703205376e+130
Step-by-step explanation:
√400 =20
20¹⁰⁰ = 1.267650600228229401496703205376e+130
Hope this helps!
An orange traffic cone has a diameter of 10 in. and a height of 28 in.
What is the volume of the cone?
Use 3.14 for
π
.
Enter your answer in the box as a decimal to the nearest cubic inch.
Answer:
733 inches
Step-by-step explanation:
V= 3.14*5^2*28/3
Order of Operations (PEMDAS)
5^2=25
25*3.14= 78.5
78.5*28= 2198
2198/3=732.66
Round to nearest cubic inch
733 inches
Drag the values to order them from least to greatest, with the least at the top.
A. [tex]\sqrt{17}[/tex]
B. [tex]\frac{\pi +7 }{5}[/tex]
C. [tex]\sqrt{5}[/tex]
Answer:
Step-by-step explanation:
You use latex very well. Nice work.
sqrt(17) = 4.123
sqrt(5) = 2.236
==============
pi + 7
=====
5
3.14 + 7
======
5
10.14/5 = 2.028
Answer
B. \frac{\pi +7 }{5} 2.028
C. \sqrt{5} 2.236
A. \sqrt{17} 4.123
In a class of 32 students, the mean height of the 14 boys is 1.56 metres. The mean height of all 32 students is 1.515 metres.
Work out the mean height of the girls.
Answer:
1.48 m
Step-by-step explanation:
mean height of 14 boys is 1.56 m, so their total height is 14 * 1.56 = 21.84 m
mean height of 32 students is 1.515 m, so their total height is 48.48
48.48 - 21.84 = 26.64 (total height of the girls)
mean height of the girls is 26.64/18 = 1.48 m
Answer:
1.48 m.
Step-by-step explanation:
There are 32 - 14 = 18 girls in the class.
Total height of the whole class = 1.515 * 32
= 48.48 m..
Total height of all the boys = 14 * 1.56 = 21.84 m.
So the total height of the 18 girls = 48.48 - 21.84
= 26.64 m.
Therefore the mean height of the girls
= 26.64 / 18
= 1.48 m.
(X+2)(x+6) simplified
Answer:
x^2 +8x+12
Step-by-step explanation:
(X+2)(x+6)
Foil
first: x*x = x^2
outer: x*6 = 6x
inner : 2*x = 2x
last: 2*6 = 12
Add them together: x^2 +6x+2x+12 = x^2 +8x+12
X^2 +x-6=0
How to solve this ?
Answer:
x = 2, x = -3
Step-by-step explanation:
We are given the following quadratic equation and we are to solve it for x:
[tex] x ^ 2 + x - 6 = 0 [/tex]
We need to find such factors of -6 that when added give a result of 1 and when multiplied, give a product of -6.
[tex] x ^ 2 + x - 6 = 0 [/tex]
[tex] x ^ 2 - 2x + 3x - 6 = 0 [/tex]
[tex] x ( x - 2 ) + 3 ( x - 2 ) = 0 [/tex]
[tex](x-2) = 0, (x+3)=0[/tex]
x = 2, x = -3
What equation results from completing the square and then factoring? X^2+22x=31
A) (x+11)^2 = 152
B) (x+22)^2 = 152
C) (x+11)^2 = 53
D) (x+22)^2 = 53
Answer:
Step-by-step explanation:
Rewrite X^2+22x=31, leaving space after the "22x:"
X^2+22x = 31
The coefficient of x is 22. Take half of that, obtaining 11.
Square this result: 11^2 = 121.
Write in "+121 -121" after the x term:
X^2+22x + 121 - 121 = 31
Rewrite X^2+22x + 121 as
(x + 11)^2 -121 = 31
Add 121 to both sides:
(x + 11)^2 = 152
Take the square root of both sides:
x + 11 = ±√152 = ±2√38
Finally, x = -11 ±2√38.
This is "solution by completing the square"
Answer: OPTION A
Step-by-step explanation:
We have this quadratic equation: [tex]x^2+22x=31[/tex]
In order to complete the square the first step is to pick the coefficient of the x term, divide it by 2 and square it. Then:
[tex](\frac{22}{2})^2=11^2[/tex]
Now we must add 11² to both sides of the equation:
[tex]x^2+22x+11^2=31+11^2[/tex]
Therefore, after complete the square and factor, we get:
[tex](x+11)^2=152[/tex]
This matches with the option A.
Which of the following symbols make(s) the following mathematical statement true? Select all that apply. 49 ___ 3 + 32 ÷ 23
49 ___ 3 + 32 ÷ 23
49 ___ 3 + 1.39
49 ___ 4.39
49 > 4.39 is the only possible answer. 49 is greater than 4.39.
To determine the correct symbol for the expression 49 ___ 3 + 32 ÷ 23, first calculate the right side following PEMDAS, resulting in 7. Then compare it with the left side (49), which shows that 49 is greater than 7, so the correct symbol is '>'.
Explanation:The question asks which symbol makes the mathematical statement true for the expression 49 ___ 3 + 32 ÷ 23. We need to solve the right side of the equation first before we can determine the correct symbol to use.
To solve 3 + 32 ÷ 23, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division as they appear from left to right, Addition and Subtraction as they appear from left to right). First, we solve the exponent 23, which equals 8. Then, we perform the division: 32 ÷ 8 = 4. Finally, we add 3 to the result: 3 + 4 = 7. So, our expression on the right side of the equation is equal to 7.
Now we compare the left side of the equation (49) with the result we calculated (7). It is evident that 49 is greater than 7, so the correct symbol to use would be '>'. Therefore, the complete and true mathematical statement would be: 49 > 3 + 32 ÷ 23 or 49 > 7.
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