Answer:
142 is a composite number. Factor pairs: 142 = 1 x 142 or 2 x 71. Factors of 142: 1, 2, 71, 142. Prime factorization: 142 = 2 x 71
Answer:
1, 2, 71, 142
Pairs would be (1 x 142), (2 x 71), (71 x 2), (142 x 1)
Step-by-step explanation:
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
a. bus
b. car
c. subway
d. train
Answer: C
Step-by-step explanation:
For box and whiskers plot the box is where the majority of the data is. the whiskers(the lines on both sides will tell you where the range of numbers lie)
The middle line in the box is the median number.
The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)
You want the majority of the data to be less than 30, which is subway. C
A submarine is traveling at a constant speed below sea level . The equation y = -50x-75 can be used to represent this situation where y is the location of the submarine below sea level in feet and x is the number if hours the submarine has been traveling . Which states best describes the location of the submarine given this equation
Answer:
From a starting location of 75 feet below sea level, the submarine is descending 50 feet per hour. Answer is.D
Step-by-step explanation:
Used an Calculator
I hope this helps
Answer:
D
Step-by-step explanation:
the reason why it's D, is because i did the test bro and it had a green check which means it's right.
your welcome.
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!
Answer:
Domain: \((-\infty, \infty)\)Range: \((-\infty, 2]\)Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
–2, –1, 1, and 3 only
–6, -2,-1, 1 and 3 only
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
The correct answer is D.
The function f(x) has some specific characteristics as shown in the graph.
The graph of f(x) has five intercepts, as can be seen from the graph.
The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.
The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.
At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.
The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.
Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).
This can be deduced from the symmetry of the graph about the origin.
Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.
At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
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Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area
angle of sector
360
tor) πr²
8 cm
Sector Area = [?] cm²
Round to four decimal places.
129°
8 cm
Answer: 72.0472
Step-by-step explanation:
\(A=\left(\frac{129}{360} \right)(\pi)(8^{2}) \approx \boxed{72.0472}\)
5.___________________means if an event happens by chance
A polar bear needs to eat at least 20 pounds of food each day. The zoo feeds the polar bear using canisters that each contain 2 pounds of food. The polar bear has already consumed 12 pounds of food. How many more canisters x of food does the polar bear need to eat? Write your answer as an inequality.
Answer:
34
Step-by-step explanation:
Answer:
x= (20-12)/2
Step-by-step explanation:
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
Etudier le signe du trinôme :
-3x² +6x+9 sur [-10,10].
you. aren't. alone.......
Using the information in the Box-and-Whisker plot below, what is the 2nd Quartile?
A. 5
B. 12.5
C. 20
D. 27.5
The answer would be (C) 20.
Answer:
The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.
In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.
Option B, 12.5, is the correct answer.
Step-by-step explanation:
9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
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The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.?
The length of the diagonal of a square with a perimeter of 56 is 14√2.
What is a diagonal?A diagonal is the longest line that divides a plane shape into two equal parts.
To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.
Formula:
P = 4a............ Equation 1Where:
P = Perimeter of the squarea = Length of the squareFrom the question,
Given:
P = 56Substitute the value into equation 1 and solve for a
56 = 4aa = 56/4a = 14Finally to find the length of the diagonal of the square, we use the formula below
d = √(2a²)................... Equation 2Where:
d = Lenght of the diagonal of the squarea = Length of the square = 14Substitute into equation 2
d = √(2×14²)d = 14√2Hence, the length of the diagonal is 14√2.
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Answer:
qfewwqeffwqfefewqwqreg
Step-by-step explanation:
For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population. Find the mean and
standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population.
The number of DVDs rented by each of three families in the past month is 2, 11, and 5. Use a sample size of 2
The correct comparison of the population and sampling distribution is A. Means are the same but the standard deviation of sampling distribution is smaller
How to find the mean and standard deviationX X^2
95 9025
96 9216
98 9604
Sum = 289 27845
n 3
The sample mean 96.33333333 SUM/n
Population mean 96.33333333 SUM/n
Sample standard dev \(1.527525232 \sqrt{((1/(n-1))(SUM(X^2)-(1/n)SUM(X)^2)}\)
Population standard dev \(1.247219129 \sqrt{((1/n)(SUM(X^2)-(1/n)SUM(X)^2)}\)
Population Mean(μ) = 96.33
Population standard deviation (σ) = 1.25
Option A) 95,96,98 and X bar = 96.33
Sampling distribution :
mean (μx = μ) = 96.33
standard deviation(σx = σ/SQRT(n)) = 1.25/SQRT(3) = 0.72
Option A) Means are the same but the standard deviation of the sampling distribution is smaller
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What is the cost of a pair of shoes if they retail for $18.50, have a tax of 6%, and you have a coupon for 20% off after taxes
Answer:
$15.69
Step-by-step explanation:
multiply the retail price by 1.06 to get the price after taxes.
find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer
need help for Geometry
△CBE ≅△CDE
Congruent statements for corresponding sides :Side BC is congruent to side CD Side EB is congruent to side EDCongruent statements for corresponding angles :angle ECB is congruent to angle ECDangle BEC is congruent to angle DEC2 Would the percent change be greater than or less than 50%
if the plants had grown to 8 inches instead of 9?
If the plants had grown to 8 inches instead of 9 then the percentage change would be less than 50%.
What is percentage change?The value change divided by the original value's absolute value, multiplied by 100, is the percentage change.
What is the significance of calculating the percentage change?When analyzing and contrasting statistical data across time, percentage changes are frequently utilized, whereas percentage points are used to analyze rate differences.
As per the condition given in the question the percentage change would be less than 50%, as per the definition of percentage change, it is calculated by dividing the change in the number by the initial number, multiplied by hunderd. Hence the percentage change here is 11.11% which is less than 50%.
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The demand equation for a popular brand of fruit drink is given by the equation:
Qx=10-5px+0.001M + 10Py
where:
Qx= monthly consumption per family in liters
Px= price perlite of the fruit drink =$2.00
M= median annual family income =$20,000
Py= price per liter of a competing brand of fruit drink = $2.50.
1. Interpret parameter estimates.
2. Calculate the monthly consumptioliterslitres) of the fruit.
3. Suppose that the median annual family income increased to ¢30,000. How does this change your answer to part (b)?
4. Determine the demand function and the inverse demand function.
Answer:
Parameter estimates
The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.
The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.
The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.
Step-by-step explanation:
To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,
Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)
Qx = 10 - 10 + 20 + 25
Qx = 45 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family is 45 liters.
If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,
Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)
Qx = 10 - 10 + 30 + 25
Qx = 55 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.
To determine the demand function, we need to solve for Qx in terms of the other variables,
Qx = 10 - 5Px + 0.001M + 10Py
Qx - 10Py = 10 - 5Px + 0.001M
Qx = (10 - 5Px + 0.001M) / 10Py
Therefore, the demand function is:
Qx = (10 - 5Px + 0.001M) / 10Py
To find the inverse demand function, we need to solve for Px in terms of Qx.
Qx = 10 - 5Px + 0.001M + 10Py
5Px = 10 - Qx - 0.001M - 10Py
Px = (10 - Qx - 0.001M - 10Py) / 5
Therefore, the inverse demand function is,
Px = (10 - Qx - 0.001M - 10Py) / 5
what is 7 1/3 + 5 4/5
Answer:
1.5333333
Step-by-step explanation:
7 1/3 + 5 4/5 = 23/15 =1 8/15 =1.53
The purchase price of a home is $150,000 what are the total closing cost if the following fees apply 5% purchase price title search $300 the buyer pays only half the fee low cost 4% recording $65 in taxes 1,235
It should be noted that the purchase price of the home will be $160865.
How to illustrate the information?Based on the information, the following can be illustrated:
Purchasing price = $150000
Purchase price fee = 5% × $150000 = $7500
Title search = $300
Love cost = 1/2 × 4% × $150000 = $3000
Taxes = $65
Total amount = $150000 + $7500 + $300 + $3000 + $65
= $160865
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How many solutions exist for the system of equations graphed below?
none
one
two
infinitely many
The number of solutions that exist for the system of equations graphed as shown is B . One .
How to find the number of solutions ?To find the number of solutions that exist in a system of graphs, you need to look at the number of points of intersection that there are.
The number of points of intersection shows the number of solutions. If there is one point of intersection, then there is one solution.
The system of equations graphed, has one point of intersection so there is only one solution .
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√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. T
oday 5 Years Ago Mean 82 88 Variance 112.5 54 Sample Size 45 36
The standard deviation of the difference between the means of the two populations is
A) 12.9
B) 9.3
C) 4
D) 2
Answer: D) 2
Step-by-step explanation:
The standard deviation of the difference between the means of the two populations is given by:-
\(S.E.=\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}}}\)
where \(n_1\)= sample size of population 1
\(n_2\)= sample size of population 2
\(\sigma^2_1\)= variance of population 1
\(\sigma^2_2\)= variance of population 2
As per given,
\(S.E.=\sqrt{\dfrac{112.5}{45}+\dfrac{54}{36}}}\\\\=\sqrt{4}\\=2\)
Hence, the correct option is D) 2.
Please help
A line intersects the point (-8, -1) and
has a slope of 2. What is the
slope-intercept equation for this line?
y =
母
EX+
x+
Answer:
\( \displaystyle \large{y = \frac{1}{4} x + 1}\)
Step-by-step explanation:
Whenever you solve a word problem, our first step is to read and gather the information we find.
"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"
After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.
"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"
First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept
After reading the context, what do we know?
a slope of 1/4a line passes through (-8,-1)write in slope-intercept formWe finally have the information — our first step is to write our slope-intercept equation.
\( \displaystyle \large{y = mx + b}\)
We know that m is slope which is 1/4 — substitute in the equation.
\( \displaystyle \large{y = \frac{1}{4} x + b}\)
We have used the two information which are a slope of 1/4 and slope-intercept equation.
That only leaves to one information which is a line that passes through (-8,-1).
Since the graph has to pass through the point, we substitute x = -8 and y = -1.
\( \displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}\)
After using all information, it seems that we are solving for b-term or y-intercept.
\( \displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}\)
From above — cross-division.
\( \displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}\)
Add both sides by 2 to isolate b-term.
\(\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}\)
Therefore, the value of b is 1. From the equation:
\( \displaystyle \large{y = \frac{1}{4} x + b}\)
Substitute b = 1 in the equation.
\( \displaystyle \large{y = \frac{1}{4} x + 1}\)
And we're done!
ANSWER
\(\sf{\red{y = \frac{1}{4}x + 1}}\)EXPLANATION
The slope-intercept equation of a straight line is of the form\(\sf{}y = mx + b\)
Where,
'm' is the slope
'b' is the y-intercept
From the question we have slope to be
\(\sf{}m = \frac{1}{4}\)
We substitute the slope into the slope-intercept equation and obtain:
\(\sf{}y = \frac{1}{4}x + b\)
To find the value of 'b' we plug in the point (-8,-1) into our current equation.
\(\sf- 1= \frac{1}{4}( - 8)+ b\)
\(\sf- 1= - 2+ b\)
\(\sf- 1 + 2 = b\)
\(\sf{}b= 1\)
The complete equation is
\(\sf{}y = \frac{1}{4}x + 1\)I GIVVEV BRAINLILSTTTTTTTTTTTTTTTT
Answer:
x-2, y+6
Step-by-step explanation:
Count up for Y and count to the left for X
Answer:
(x, y ) → (x - 10, y + 7 )
Step-by-step explanation:
Consider the coordinates of W and W'
W ( 1, - 2 ) and W'(- 9, 5 )
Consider the x- direction from W to W'
1 → - 9 = - 9 - 1 = - 10
Consider the y- direction from W to W'
- 2 → 5 = 5 - (- 2) = 5 + 2 = + 7
Thus the translation rule is
(x, y ) → ( x - 10, y + 7 )
Show that f '(x) = g'(x) for all x in their domains. Can we conclude from the corollary below that f − g is constant? If f '(x) = g'(x) for all x in an interval (a, b), then f − g is constant on (a, b); that is, f(x) = g(x) + c where c is a constant.
Answer:
Answer: 15 cm
Step-by-step explanation:
The derivative of a function at a point can be defined as its slope at that point. For f'(x) = g'(x) in the interval (a,b), it is proved that f - g is constant in (a,b).
What is a Derivative?A derivative of a function is its rate change of increase or decrease in a given interval with respect to its variable. Derivative of a constant function is always zero.
Given that, f'(x) = g'(x) for all x.
Taking integral on both sides
f(x) + C₁ = g(x) + C₂
=> f(x) - g(x) = C₂ - C₁
=> f(x) - g(x) = C
Thus, f(x) - g(x) is constant is proved.
Similarly for interval an interval (a,b),
f(x) - g(x) = C
=> f(x)= g(x) + C
Hence, it is proved that in an interval (a,b), if f'(x) = g'(x) then f(x)= g(x) + C.
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Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Ans its b and c
Step-by-step explanation:
find the indicated side of the right triangle 30 7 a=
The indicated side of the triangle of side a = 14 and side b =12.12.
How can the triangle of side be calculated?The concept that will be used here is trigonometry. Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
From the triangle, of the side a which is the hypothenus:
sin(θ)=opposite/hypothenus
but the angle (θ)
sin30= 7/hypothenus
hypothenus *sin30=7
hypothenus=7/sin30
hypothenus = a=14
Then we can do that For b:
cos(θ)=b/hypothenus
but hypothenus =14
cos30= b/14
b=14*cos30
b= 12.12
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complete question:
Find the indicated side of the
triangle.
a
30°
b
b = [?][]
Find an angle in each quadrant with a common reference angle with 165°, from 0°≤θ<360°
Answer:
Here are the angles in each quadrant with a common reference angle of 165°:
First quadrant: angle is 15° (subtract 165° from 180°)
Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)
Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)
Fourth quadrant: angle is 195° (subtract 165° from 360°)
3x + 5y = 4 2x + 3y = 4 solve in elimination
Answer:
y=-4, x=8
Step-by-step explanation:
1)3x+5y=4
2)2x+3y=4
Make 1 and 2 have the same co-efficient of x or y (i chose x as it is easier to get to 6 then 15)
Label the 2 new equations as 3 and 4
3)6x+10y=8
4)6x+9y=12
Now we can take away to give
y=-4
Now we substitute this into 1 or 2
I chose 2:
2x+3(-4)=4
2x=4+12
2x=16
x=8
Answer:
x = 8
y = -4
Step-by-step explanation:
Multiply the first equation by 2:
⇒ 3x + 5y = 4 ⇒ 6x + 10y = 8
(we will call this equation 3)
Multiply the second equation by 3:
⇒ 2x + 3y = 4 ⇒ 6x + 9y = 12
(we will call this equation 4)
Subtract equation 3 from equation 4 to eliminate the x variable:
6x + 9y = 12
- 6x + 10y = 8
-y = 4
Therefore, y = -4
Substitute y = -4 into one of the equations and solve for x:
3x + (5 x -4) = 4
⇒ 3x - 20 = 4
⇒ 3x = 24
⇒ x = 8
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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