Answer: x=9
Step-by-step explanation:
15-4x=42-7x
Move 15 to the right side
-4x=-7x+27
Move 7x to the left side
3x=27
3x/3=27/3
x=9
A sector of a circle of radius 14cm containing
an angle 60° is folded to forma cone
Calculate the radius of the base of the circle
}
answer is 2 ⅓
Explanation
Length of arc = circumference of the base of the
cone
is β/360 x 2πR=2πr
make r the subject of formula
r =βR/360
r=60 x 14/360
r=2⅓cm
please mark as brainliest if i am right
HURRY WILL MARK BRAINLIEST
What is the distance between the points(−5, −9) and (−5, 13)?
Responses
4 units
11 units
16 units
22 units
Find the mid points of the line joining the pairs of points a.(3,4) and (5,2) b.(0,6) and (4,0) c.(4,2) and (4,-4) d.(-1,-5) and (-3,4) e.(-3,2) and (8,-2)
Answer:
a(4,3). b( 2,3). c(4,-1). d(-2,-1/2). e(5/2, 0).
Step-by-step explanation:
Hello , I can help you with that
the mid point is given by
Let
Point 1
\((x_{1},y_{1})\)
Point 2
\((x_{2},y_{2})\)
the midpoint is(m)
\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\)
all you have to do is to put those values into the equation
Step 1
P1(3,4) and P2(5,2)
\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)\)
Step 2
P1(0,6) and P2(4,0)
\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)\)
Step 3
P1(4,2) and P2(4,-4)
\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)\)
Step 4
P1(-1,-5) and P2(-3,4)
\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )\)
Step 5
P1(-3,2) and P2(8,-2)
\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)\)
I really hope it helps you, have a nice day
During flu season, there was 156 students out if school on a particular day. if this id 20% if the total number of students at the school, how many total students are enrolled at the school ?
The problem is about finding the total number of students in a school given a percentage of absences. By using the equation 'whole = part / percent' and substituting the given values, we find that the total number of students in the school is 780.
Explanation:This problem can be classified as a percentage problem in Mathematics. In this scenario, we know that the 156 students represent 20% of the total students. So, in order to find the total number of students, we will use the equation part = percent * whole. In our case, the part is the 156 students, the percent is 20%, and the whole is what we're trying to find.
To solve for the whole, we rearrange the equation to whole = part / percent. Thus, to find the total number of students at the school, we divide 156 by 0.20 (since 20% equals 0.20 in decimal form). When you calculate this, you will get 780. So, the total number of students at the school is 780.
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answers are there but i need the work
the rectangular prism below has a total surface area of 198 in^2 use the net below to determine the missing dimension x
a net of a building block is shown below what is the total surface area of the building block
To find the total surface area of the building block, you would need the dimensions of its net. Once you have those dimensions, you can calculate the area of each face of the net and sum them up to get the total surface area.
I understand you want to find the missing dimension 'x' of a rectangular prism with a total surface area of 198 square inches and the total surface area of a building block.
However, without the specific dimensions of the prism and the building block's net, I cannot provide you with an accurate answer.
In general, to find the missing dimension (x) of a rectangular prism, you can use the formula for the surface area of a rectangular prism, which is:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively.
Given the surface area, you can solve for the missing dimension (x) by plugging in the known values and solving for x.
To find the total surface area of the building block, you would need the dimensions of its net. Once you have those dimensions, you can calculate the area of each face of the net and sum them up to get the total surface area.
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For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
What is the equation of the line that passes through the points (−6,−1) and (0, 2)?
6x -4=-4+6x
can i get some help with this question
Answer:
infinite solutions
Step-by-step explanation:
At first, we try to isolate the x, but adding 4 to -4 on both sides. Both sides have a -4 so it cancels out on both sides of the equation. Similarly, both sides also have a positve 6x, so when we subtract 6x from 6x we get 0. After simplification, we get x = x; x can be any number [ex. 1=1, 2=2, 3=3,etc.], therefore any number can fit into this equation
6x - 4 = -4 + 6x
6x - 4 + 4 = -4 + 4 +6x
6x = 6x
x = x
Answer:
infinite solutions
Step-by-step explanation:
How will you solve problems involving equations of circles and coordinates?
NEED ASAP
An equation is a mathematical statement showing the equality of two
opposite variables
How to determine the equation of the circle using coordinates?
The equation of a circle is determined by the function r²=(x-x1)² +(y-y1)²
where :
(x1,y1,) marks the centre of the circlex,y marks the points on the circumference of the circumference of the circler marks the radius of the circlethen, the last thing is to write the equation of the circle and input the values of the coordinates to arrive at your answer,
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A cone with diameter 18 millimeters and height 11 millimeters.
Which statements about the cone are true? Check all that apply.
The radius is double the diameter.
The radius is 9 mm.
The base area is calculated using the radius.
The volume is one-third the volume of a cylinder with the same height and diameter.
The volume of the cone is 297 pi millimeters cubed.
Everything except for a
Answer:
b
c
d
e
Step-by-step explanation:
have a good day
Need help 10 points
Answer:
have you missed out any option cause i doeant match with any of your options
Solve for x.
3(x + 2) = 12
x=2
x=33
x=4 2/3
x=6
Answer:
x=2
Step-by-step explanation:
3(x + 2) = 12
Distribute
3x+6 = 12
Subtract 6 from each sdie
3x+6-6 = 12-6
3x = 6
Divide by 3
3x/3 = 6/2
x=2
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 2
▹ Step-by-Step Explanation
3(x + 2) = 12
Distribute:
3x + 6 = 12
Subtract 6 from each side:
6 - 6 = 0
12 - 6 = 6
Rewrite:
3x = 6
Divide each side by 3:
3/3 = x
6/3 = 2
x = 2
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
What is the name of the green segment in the hyperbola below
The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.
In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.
The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.
The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.
The blue segment is the conjugate axis, and it is represented by the letters "2b".
Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.
If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.
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If 15% of an item is $18 what is the original price??
Answer:
If you were trying to find 15% of 18, that would be multiplying a decimal, but, you need to mutliply a whole number. $120 should be your answer. People, correct me if I'm wrong (seriously though, not 100% sure if this is correct).
Step-by-step explanation:
18 = 15% x Y
18 = 15/100 x Y
Y = 18 × 100/15
Y = 18 × 100 ÷ 15
Y = 120
For problems 12 and 13 solve for the specified variable.
a-b
12.
-, solve for a
C=
3
a) a=3(c+b)
b) a = 30 + b
c) a =ş + b
C+b
d) a =
3
Sorry, I could only solve #12.
(2x^3y^-3)^2/16x^7y^-2
Fill in the value of the numerator of your final answer
Answer:
Step-by-step explanation:
\(\frac{(2x^3y^{-3})^2}{16x^7y^{-2}}\\ =\frac{4x^6y^{-6}}{16x^7y^{-2}}\\ =\frac{1}{4xy^4}\)
Numerator = 1
PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.
Answer:
Hello,
p=0.1024
Step-by-step explanation:
The probability is the ratio of the areas of the 2 circles:
\(p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024\)
Answer:
64/625.
Step-by-step explanation:
Probability = area of small circle / area of the large one
= 8^2 / 25^2
= 64/625
Please Help
Factor the polynomial: x^3 + 3x - 2x - 6
Answer:
(x^2-2)(x+3)
Step-by-step explanation:
x^3 + 3x^2 - 2x - 6
x^2(x+3)-2(x+3)
(x^2-2)(x+3)
Three pieces of salmon weigh 11, 200 grams. The weights of the three pieces are in the ratio 8:6:11
. How much does the first piece of salmon weigh?
4.5 as a complex fraction
Answer:
9/2
Step-by-step explanation: I think it is the answer? I really don't know.
I need help with question two please, it’s due tomorrow first thing so kinda need to get it done
1) Mike invests $2,316 in a retirement
account with a fixed annual interest rate of
3% compounded continuously. What will
the account balance be after 17 years?
Answer:
$3828 approx
Step-by-step explanation:
Given data
Principal=$2316
Rate= 3%
Time= 17 years
The compound interest formula is
A=P(1+r)^t
substitute
A=2316(1+0.03)^17
A=2316(1.03)^17
A=2316*1.652847
A=$3827.99
Hence the account balance after 17 years is $3828 approx
Hello I need help with my math homework number 17
17) its equivalence is 3(x + 2y + 1) (option A)
Explanation:\(\begin{gathered} Given: \\ 17)\text{ }3x\text{ + 6y + 3} \\ \\ We\text{ need to find the option that is equivalent to it} \end{gathered}\)To determine its equivalence, we will factorize the expression:
\(\begin{gathered} 3x\text{ + 6y + 3 } \\ 3\text{ is common to all the terms :} \\ 3x\text{ = 3\lparen x\rparen} \\ 6y\text{ = 3\lparen2y\rparen} \\ 3\text{ = 3}(1) \end{gathered}\)\(3x\text{ + 6y + 3 = 3\lparen x + 2y + 1\rparen}\)Hence, its equivalence is 3(x + 2y + 1) (option A)
The dot plot shows the number of chess games won by each of the 20 students in a competition.
:
1
2
The mean is 20.
Number of Chess Games Won
:
What statement about the data is true?
The mean is 5.35.
The mean is 91.
3
The mean is 4.55.
6
7
8
9 10
Answer:25
Step-by-step explanation:
What are the two reasons that the narrator gives to explain that she was mistaken?
The two reasons that the narrator gives to explain that she was mistaken was that firstly that she met Mrs. Dorling once and that too years ago and that she had rung the wrong doorbell.
Mrs. Dorling was an old acquaintance of the narrator's mother who lived at house number 46, Marconi Street, Holland. When the war ended, the narrator went to her house back to take the belongings of her mother who passed away. However Mrs. Dorling refused to recognize the narrator and didn't even allow her to enter her own house. The narrator initially feels that she might have been mistaken but later believes that when the environment around oneself changes, the memories of the past fades away. However, she feels extreme pain as she wasn't able to take her mother's belonging back.
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The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
Learning Task 2: Find the quotient. Show how the decimal point is moved
in the divisor and the dividend. Check by multiplication. Write your
answers in your notebook.
1. 0. 03 910. 40
4. 0. 06 J25. 17
2. 0. 04 )30. 12
5. 0. 07 151. 42
3. 0. 05
120. 23
Quotient: 0.0009775. The decimal point is moved 4 places to the left in both the divisor and the dividend.
Quotient: 0.0023835. The decimal point is moved 2 places to the left in both the divisor and the dividend.
By moving the decimal point in the divisor and the dividend, we can perform long division to find the quotients. To check the dividend, we can multiply the quotients by the divisor and see if the result matches the dividend.
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Find the unit rate. 55.9 meters in 13 seconds. Please help ASAP!
Answer:
4.3 meters per second
Step-by-step explanation:
55.9 meters ÷ 13 seconds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 13
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.5?
a. 0.1915
b. 0.0000
c. 1.0000
d. 0.3413
Answer:
B
Step-by-step explanation:
To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.
Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).
Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.
Thus, the value of z when the area to the right of z is 0.5 is 0.
Therefore, the correct option is b. 0.0000.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What are all the real zeroes of y = ( x – 12 )^ 3 – 7 ?
The only real zero of the function y = (x - 12)^3 - 7 is x = 12 + ∛7.The real zeroes of the function y = (x - 12)^3 - 7 can be found by setting y equal to zero and solving for x.
This gives us: 0 = (x - 12)^3 - 7, Adding 7 to both sides gives: 7 = (x - 12)^3 Taking the cube root of both sides gives: ∛7 = x - 12, Adding 12 to both sides gives: x = 12 + ∛7, Therefore, the only real zero of the function y = (x - 12)^3 - 7 is x = 12 + ∛7.
To find the real zeros of a function, we set the function equal to zero and solve for x. In this case, we set y = 0 and solve for x using algebraic manipulation. We first add 7 to both sides to isolate the cube term.
We then take the cube root of both sides to eliminate the cube and isolate x. Finally, we add 12 to both sides to find the value of x that makes the function equal to zero. Since this is the only real solution, it is the only real zero of the function.
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