Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
Please answer the questions attached below
Answer:
Step-by-step explanation:
The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²
Area of parallelogram = 4 units²
:::::
area of blue parallelogram = 4×9 = 36 units²
:::::
area of green parallelogram = 3×5 = 15 units²
Use the figure to find the Volume.
Answer:
12π un^3
Step-by-step explanation:
Use the fomula: V= πr2 h
The radius is 2 and the height is 3.
I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .
The work is in the screen shot goodluck.
Hope this helped!
Stay Safe!
Help rn ahhhh please
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
solution to 3x+4=3x+4
The results can be shown in multiple forms;
4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).
Move all terms containing [tex]x[/tex] to the left side of the equation.
[tex]Subtract\\3x+4-3x=4\\[/tex]
Combine the opposite terms in [tex]3x+4-3x[/tex]
[tex]Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*[/tex]
Since [tex]4=4[/tex] the equation will always be true.
What is 30 % of 69.95
Answer:
20.985
Step-by-step explanation:
How do I calculate 30 percent off?
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
Tell whether the ordered pair (-1,3) is a solution of the system of linear equations. y=-7x-4 and y=8x+5
Answer:
Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.
Step-by-step explanation:
(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4 3 =/ - 8 + 5
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The ordered pair (-1,3) is not the solution of the given system of equations.
What is the System of equations?Inconsistent SystemFor a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of the equation can be found by plotting the equation on the graph. Therefore, the point at which the equation will intersect will the solution of the system of equation.
Since the solution of the system of equation is (-0.6, 0.2), there exists only one single solution for the system of equation. therefore, the (-1,3) is not the solution of the system of equation.
Hence, the ordered pair (-1,3) is not the solution of the given system of equations.
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What classification of quadrilateral is show? Explain
Find the slope of the line
O 1/3
O 6/2
0 -3/1
03/1
Answer:
6/2
Step-by-step explanation:
The slope of the given line is 3/1, Option D is correct.
The given line is passing through the points (1, 3) and (-1, -3)
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Plug in the values of points (1, 3) and (-1, -3) in the formula.
m= -3-3/-1-1
=-6/-2
Divide numerator and denominator by 2
We get 3
Slope of the line is 3.
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A sporting goods store is discounting all
sports balls 55%. Which value is equivalent to this
percent?
A. 15/25
B. 11/20
C. 5/10
D. 5/55
Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day? a3.8km b4.8km c5.8km d4.7km
Answer:19
Step-by-step explanation:
The tree diagram represents an
experiment consisting of two trials.
.3
.4
B
Answer:
.32
Step-by-step explanation:
.4x.8=.32
w
What is the value of a?
4
5 units
C
Os units
O 6 units
O 7 units
Answer:
B.5 1/3
Step-by-step explanation:
got it right on edge
The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.
By Pythagoras theorem,
c²=4²+3²
c²=16+9
c²=25
c=5 units
In triangle WXZ,
(3+a)²=5²+b² ----(i)
From the triangle WXY,
b²=4²+a² ------(ii)
From equation (i) and (ii), we get
(3+a)²=5²+4²+a²
9+6a+a²=41+a²
6a=32
a=32/6
a=[tex]5\frac{1}{3}[/tex] units
Therefore, option B is the correct answer.
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In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows:
$1,589, $593, $1,223, $869, $423, $1,720, $708, $1,425, $922 and $308.
a. What is the mean and median change in the cost? (Explain how you obtain your answer.)
b. What is the five-number summary of the change in the cost? (Explain how you obtain your answer.)
c. What is the standard deviation of the change in the cost? (Explain how you obtain your answer.)
d. The middle 50% of the change in the cost is spread over what value? (Explain how you obtain your answer.)
e. What is the coefficient of variation of the change in cost? (Explain how you obtain your answer.)
f. What are the (absolute values of) the Z scores of the change in cost?
Answer:
1. mean = 980 median = $895.5
2. 308, 593, 895.5, 1425, 1720
3. 491.7978
4. 895.5
5. 50.28%
Step-by-step explanation:
1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10
= 9780/10
= $978
median
We first arrange the values in ascending order
308,423,593,708,869,922,1223,1425,1589,1720
number of observation is even so we pick the 2 values in the middle and divide by 2
= 869+922/2
= $1791/2
$895.5
2. five number summary of change
the botom half of th dta set = 308,423,593,708,869
minimum value = 308
n = 5
median = 593 = q1
from 1, q2 = median = $895.5
the upper half of data
922,1223,1425,1589,1720
n = 5
median = $1425
maximum value = $1720
the five number summary of change in cost is therefore
308, 593, 895.5, 1425, 1720
3. standard deviation
[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]
bar x is the mean = 978
($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²
= 2176786
=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]
= [tex]\sqrt{241865.1}[/tex]
= 491.7978
4. middle 50% is spread over the median, which is 895.5
5. coefficient of variation
= s/bar x * 100
= 491.7978/978 * 100
= 49179.78/978
= 50.28%
6. z score = x - mean/s
x = 1589
= 1589-978/491.7978
= 1.2424
for x = 593
593-978/491.7978
= -0.7828
= 0.7828
for x = 1223
1223-978/491.7978
= 0.4982
for x = 869
869-978/491.7978
= -0.2216
= 0.2216
for x = 423
423-978/491.7978
= -1.1285
= 1.1285
x = 1720
1720-978/491.7978
z = 1.5088
for x = 708
708-978/491.7978
= -0.5490
= 0.5490
for x = 1425
1425-978/491.7978
= 0.9089
for x = 922
922-978/491.7978
= -0.1139
= 0.1139
for x = 308
308-978/491.7978
= -1.3624
= 1.3624
find the area of the figure use 3.14 for pie
Question 7
(04.03 MC)
The graph below shows the price of different numbers of swim bags at a store:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 15, 30, 45, 60, and 75. Points are shown on ordered pairs 0, 0 and 2, 15 and 4, 30 and 6, 45 and 8, 60. These points are connected by a line. The label on the x axis is Number of Bags. The title on the y axis is Price in dollars.
Which equation can be used to determine p, the cost of b swim bags? (5 points)
a
p = 7.50 + b
b
b = 7.50 + p
c
p = 7.50b
d
b = 7.50p
Answer:
IT's p=7.50b
Step-by-step explanation:
i took a test with this question
HELP PLZ, 100 points!!!
hope it helps you ❣️
Answer:
10.25%
Step-by-step explanation:
Let the original number be represented with x.
Increase by 5% = 5% of x = 5/100 x X = 0.05x
So, the next number = x + 0.05x = 1.05x
Increase again by 5% = 5% of 1.05x = 5/100
x1.05x = 0.05 x 1.05x = 0.0525
So, the current number = 1.05x + 0.0525x =1.1025x
[tex] \frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%[/tex]
Two more than five times a number is less than or equal to 47
WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17
Find the measure of the exterior angle.
that last answer is 38°
Answer:
A. 138°
Step-by-step explanation:
hope it helps u...
The graphs below have the same shape. What is the equation of the blue
graph?
F(X) = x2
G(X) = ?
A. G(X) = x2 + 4
B. G(X) = x2-4
C. G(X) = (x+4)2
D. G(x) = (x-4)2
Answer:D
Step-by-step explanation:
The blue graph is a 4 unit horizontal shift of the red graph. The correct equation of g(x) = [tex](x-4)^{2}[/tex].
What is horizontal shift?Given a function f , a new function g(x)=f(x−h) , where h is a constant, is a horizontal shift of the function f . If h is positive, the graph will shift right. If h is negative, the graph will shift left.
Thus, since, f(x) has shifted 4 units to the right horizontally, the correct equation of g(x) = [tex](x-4)^{2}[/tex].
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a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.
Answer:
hope this helps
The solution is 3,27,680
The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the first term of the geometric sequence be a₁ = 20
Let the second term a₂ = 80
So , the common ratio r = second term / first term
On simplifying the equation , we get
Common ratio r = 80/20
Common ratio r = 4
Now , the explicit formula for the GP is
aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours
aₙ = 20 ( 4 )ⁿ⁻¹
So , after 8 hours ,
Substitute the value of n = 8 in the equation , we get
a₈ = 20 ( 4 )ⁿ⁻¹
a₈ = 20 ( 4 )⁷
a₈ = 3,27,680
Therefore , the value of a₈ = 3,27,680
Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹
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Find the average rate of change of the function between the given values of x.
y = -5x - x2 between 2 and x = 6.
Answer:
The average rate of change is of -13.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function in an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
Between 2 and 6. So
[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]
[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]
[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]
The average rate of change is of -13.
Help math plzshnsndnfjc
Answer:
11 inches
Step-by-step explanation:
So first I don’t typically go with fractions so I broke 2 3/4 down into a decimal which is:
2.75
Then the index card is
4 by 2.75
Then you multiply the sides
4 x 2.75
= 11 inches
Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?
Answer:
[tex]H'I = 48[/tex]
Step-by-step explanation:
Given
See attachment for complete question.
From the attachment, we have:
[tex]GH=16.5[/tex]
[tex]HI =24[/tex]
[tex]IJ = 17[/tex]
[tex]JG =32.2[/tex]
[tex]k = 2[/tex] --- Scale factor
Required
Find H'I
The corresponding side of H'I is HI.
So:
H'I is calculated as:
[tex]H'I = k * HI[/tex]
This gives:
[tex]H'I = 2 * 24[/tex]
[tex]H'I = 48[/tex]
Answer I to j is 42
Step-by-step explanation:
Determine the measures of the following; (SOMEONE PLS) :v
arc AC=27°
arc BD=33°
arc CB=120°
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I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer:
768-452.16=315.84
Step-by-step explanation:
pls help me i will give brainliest
Topic: Solving Word Problems Involving Linear Equations in One Variable
please show process.....
To do a job alone, it would take Beane 3 hours, Elle 4 hours and Rye 6 hours. How long would it take them to finish the job if they work together?
Step-by-step explanation:
13 hours
6 + 4 + 3 = 13
correct if wrong
simplify by distributive property 8-3(7m-3p)
Noise levels at 5 airports were measured in decibels yielding the following data:
117,118,140,116,119
1. Construct the 90% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
2. Calculate the sample mean for the given sample data.
3. Find the critical value that should be used in constructing the confidence interval.
Answer:
1. 112.364<μ,131.636
2. mean = 122
3. critical value = +-2.1318
Step-by-step explanation:
117+118+140+116+119/5
= 610/5
= 122
the sample mean = 122
the sample standard deviation
s² = (117-122)²+(118-122)²+(140-122)²+(116-122²)+(119-122)²/5-1
= 25+16+324+36+9/4
= 410/4
= 102.5
s² = 102.5
s = √102.5
s= 10.12
SE = s/√n
= 10.12/√5
= 4.52
degree of freedom = 5-1 = 4
critical value of t = +-2.1318 using soft ware
confidence interval =
mean +- t(SE)
122-(2.1318)(4.52), 122+(2.1318)(4.52)
= [112.364, 131.636]
112.364<μ,131.636
therefore these are the answers in the ordre it was given in the question
1. 112.364<μ,131.636
2. mean = 122
3. critical value = +-2.1318
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answer:
Me puedes informar mas?
Find the distance between the points (7,8) and (7,3).
the distance is 5 points because it would take 5 points to get 7,8 from 7,3 !
Answer:
(7,5)
Step-by-step explanation
8 - 3 = 5 so (7,5)