Answer:
A' (-6, 4)
B' (2, 2)
C' (-2, -2)
Step-by-step explanation:
Multiply each number by 2.
Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).
Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.
Step-by-step explanation:
the first one is
y=m x+b
y= 3 x -12
the second one is
first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to
Y= 3 x 1
X= 5
1.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
How to determine D: μ≥1000; E: μ<1000?Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.
The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.
Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
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Solve the following equation
Answer:
n = 20
Step-by-step explanation:
n/2 - 9 = 1
Add 9 to each side
n/2 -9+9 = 1+9
n/2 = 10
Multiply by 2 on each side
n/2*2 = 10*2
n = 20
PLZ, help me with this question..
Answer:
bro its transition
X+-4+2x=14
x=
Blank 1:
Answer:
6
Step-by-step explanation:
3x-4=14
3x=14+4
3x=18
x=6
Answer:
x = 6
Step-by-step explanation:
\(x+(-4)+2x=14\\\\ \text{Distribute '+' into '-4' : }\\ x-4+2x=14\\\text{Combine Like Terms: }\\x+2x-4=14\\3x-4=14\\\text {Add 4 to Both Sides: }\\3x-4+4=14+4\\3x=18\\\text{Divide both sides by 3: }\\\frac{3x}{3}=\frac{18}{3}\\\huge\boxed{x=6}\)
I need help and the time is running please help
Answer:
I think its B
Step-by-step explanation:
I'm sorry if I'm wrong. I'm busy
Answer:
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????:P
(-1, 16), (-13, 6)
Write an equation in slope-intercept form.
help
Answer:
y=5/6x+101/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-16)/(-13-(-1))
m=-10/(-13+1)
m=-10/-12
simplify
m=5/6
y-y1=m(x-x1)
y-16=5/6(x-(-1))
y-16=5/6(x+1)
y-16=5/6x+5/6
y=5/6x+5/6+16
y=5/6x+5/6+96/6
y=5/6x+101/6
can someone answer both questions for me.
Answer:
For the First
a. True
b. false
c. True
d.false
Second
a. d and h or a and e
b. d and g or c and e
c.d and f or c and h
d. a anf d or g and f
What is average rate of change Example?
Average rate of change is a way to measure how a function changes over time.
The average rate of change is the average rate at which something changes over a given period of time. It is calculated by taking the difference between the initial and final values of a variable and dividing it by the amount of time that has elapsed.
For example, if the function y = 2x represents the number of hours of work completed in relation to the number of hours worked, then the average rate of change would represent the average number of hours completed for each hour worked. In this example, the average rate of change would be 2, since 2 hours are completed for each hour worked.
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What’s the answer, I will mark brainless
Answer:
68x
Step-by-step explanation:
you first of all find the area
1/2b×h=
1/2x×34
1/2×1/34x
68x
I am trying to solve the equation; 2(x-2/3)=0. I need to show my work.
Answer:
x=−1
x=
2
3
=1
2
1
=1.5
Step-by-step explanation:
Answer:
x = 1/3
Step-by-step explanation:
The equation is : \(2(x-\frac{2}{3})\) = 0
Open parenthesis
\(2x - \frac{4}{6} = 0\)
Add 4/6 on both sides
2x = 4/6
Divide by 2 on both sides to isolate x
x = 1/3
Hope this helps :)
Have an awesome day!
Make up an equation for a quadratic function whose graph satisfies the given condition. Use whatever form is most convenient. i. Has a vertex at (−2,−5). ii. Has a y-intercept at (0, 6). iii. Has x-intercepts at and (3, 0) and (5, 0). iv. Has x-intercepts at the origin and (4, 0). v. Goes through the points (4, 2) and (1, 2).
Answer:
yx6
Step-by-step explanation:
Can someone please help me with the slope?
Answer:
1/2
Step-by-step explanation:
For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!
Truck drivers have claimed that if the highway speed limit is raised to 75 mph, there will be fewer speeding tickets issued to truckers. An examination of traffic citations showed that before the speed limit was raised, the mean number of traffic tickets issued to truckers was 45 per week. A random sample of 32 weeks chosen from the time after speed limits were raised had a sample mean with sample standard deviation s = 8. Use a 5% significance level to test whether this data supports the truckers’ claim. Interpret your answer in real world terms.
The t-test results indicate that there is enough evidence to support the truckers' claim, suggesting that raising the highway speed limit to 75 mph has led to fewer speeding tickets issued to truckers.
The null hypothesis (H₀) is that the mean number of traffic tickets issued to truckers after the speed limit was raised is the same as before, μ = 45. The alternative hypothesis (H₁) is that the mean number of tickets is fewer after the speed limit was raised, \(\mu\) < 45. Using a significance level of 0.05, we conduct a one-sample t-test to determine if there is enough evidence to support the truckers' claim.
We can use the sample standard deviation (s = 8) and the sample size (n = 32) to estimate the standard error of the mean (SE).
Once we have the t-statistic, we can compare it to the critical value from the t-distribution with (n - 1) degrees of freedom. If the t-statistic is less than the critical value, we reject the null hypothesis in favor of the alternative hypothesis, supporting the truckers' claim.
In real-world terms, if the data supports the truckers' claim, it suggests that raising the highway speed limit to 75 mph has led to a decrease in the number of speeding tickets issued to truckers. This could imply that truck drivers are now able to comply with the higher speed limit without exceeding it, resulting in fewer violations and citations.
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what iss y = 64 (18)
Answer:
y=1152
Step-by-step explanation:
18 x 64 hope I was helpfull
What is One-third of Four-fifths?
One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths
in 2012 the total value of exports from the United States was $2,210,585,000,000 that year sports were $837,965,000,000 more than half of the US imports. find the value of imports of the United States In 2012
The required value of sports imports of the United States in 2012 is $2,745,240,000,000.
.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
the total value of exports from the United States in 2012 = $2,210,585,000,000
Now it is also given that,
the total value of exports from the United States in 2012 = $837,965,000,000 more than half of the US imports
Therefore, we can write
the total value of exports from the United States in 2012 = $837,965,000,000 + imports/2
Putting the value of exports we get,
2,210,585,000,000 = 837,965,000,000 + imports/2
Taking alike terms together we get,
Imports/ 2 = 2,210,585,000,000 - 837,965,000,000
Solving we get,
Imports/ 2 = 1,372,620,000,000
Multiplying by 2 both the side by 2 we get,
Imports = 2,745,240,000,000
Thus, the value of imports of the United States in 2012 = $2,745,240,000,000
Thus, the required value of imports of the United States in 2012 is $2,745,240,000,000.
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The correct question is :
in 2012 the total value of exports from the United States was $2,210,585,000,000 that year exports were $837,965,000,000 more than half of the US imports. find the value of imports of the United States In 2012
need help with #3 giving brainlyist
Answer:
1,3,4,2
Step-by-step explanation:
Answer:
Hi there!
Your answer is:
-√25 , √25 , 27/5 , √30
Step-by-step explanation:
-√25 = -5
√30 = 5.47
√25 = 5
27/5 = 5.4
Hope this helps!
Which of the following symbols will make a true sentence when inserted in the blank? 4/15___0.26
A. >
B. <
C. x
D. =
Answer:D
Step-by-stepA explanation: if you simply the fraction by 4/15. The answer is 0.26
The solution is equal to both numbers.
Which of the following symbols will make a true sentence when inserted in the blank? 4/15___0.26. The correct answer is Option A. >
In this mathematical problem, we are asked to choose the correct symbol that will make the given sentence true: "4/15 ___ 0.26". We have four options to choose from: A. >, B. <, C. x, and D. =.
To determine the correct symbol, we need to compare the given fractions and decimals and understand their relationship. Let's analyze each option to find the suitable symbol.
To solve this problem, we must first convert the decimal 0.26 into a fraction. The decimal 0.26 can be written as "26/100" since it is two decimal places to the right of the decimal point. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
26/100 = (26 ÷ 2) / (100 ÷ 2)
= 13/50
Now, we have the two fractions: 4/15 and 13/50. To compare fractions, we need to ensure they have the same denominator. The least common multiple (LCM) of 15 and 50 is 150. So, we need to convert both fractions to have a denominator of 150.
For 4/15, we can multiply both the numerator and denominator by 10:
4/15 = (4 × 10) / (15 × 10)
= 40/150
For 13/50, we can multiply both the numerator and denominator by 3:
13/50 = (13 × 3) / (50 × 3)
= 39/150
Now, the fractions are 40/150 and 39/150. Since the numerators are very close, we can see that 40/150 is slightly larger than 39/150. Hence, the correct symbol to fill in the blank is ">" (greater than).
Therefore, the correct answer is: A. >
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If we estimate that 10 people can fit in a 5ft by 5ft area, then what would be your estimate of how many people can fit on a basketball court measuring 94ft by 50ft?
Answer:
1,880 people will fit in 94 ft by 50 ft
Step-by-step explanation:
We can estimate this using the area
For 5 ft by 5ft ; 10 people can fit in an area of 5 * 5 = 25 ft^2
In an area of 94 ft by 50 ft, the number of people that can fit will be;
let’s start with the area
Area = 94 * 50 = 4,700 square feet
10 people will fit in 25 square feet
x people in 4,700 square feet
25 * x = 10 * 4700
25x = 47,000
x = 47000/25
x = 1,880 people
The total cost for 56 sixth-grade students to go on a field trip was $1,904. How much did the field trip cost per student?
$31
$33
$34
$35
Answer:
$34
Step-by-step explanation:
Divide 1904/56 = $34
which time-series model assumes that demand in the next period will be equal to the most recent period’s demand? A) Naïve approach
B) Exponential smoothing approach
C) Moving average approach
The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.
What is Naïve approach model?This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:
y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.
Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.
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Triangle SAM is congruent to Triangle REN. Find x and y.
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
Pls help me! Pls show work so I know how to do it if you can’t then it’s fine! Thank you!
\(\sf f(x) = 5(-2)^{\small{\dfrac{x}{6}}}\)
For evaluating the given function at f(24) just substitute x = 24
\(\sf f(24) = 5\times(-2)^{\small{\dfrac{24}{6}}}\)
\(\longrightarrow \sf f(24) = 5\times (-2)^4\)
\(\longrightarrow \sf f(24) = 5 \times 16 \)
\(\longrightarrow \sf f(24) = 80 \)
Find the directions in which f(x, y, z) = xe + 4z?cos'(Inx) increases and decreases most rapidly at P(1, In2, 1/2). Find the rates of change in these directions.
The all values have been obtained.
Direction of increasing f(x, y, z) = (1/sqrt(45))(e + 4k).Direction of decreasing f(x, y, z) = (-1/sqrt(45))(e + 4k).Rates of change in the direction of increasing f(x, y, z) = (1/sqrt(45))(e² + 16).Rates of change in the direction of decreasing f(x, y, z) = -(1/sqrt(45))(e² + 16).As per data function is:
f(x, y, z) = xe + 4z cos'(Inx)
To find: Directions in which f(x, y, z) increases and decreases most rapidly at P(1, In2, 1/2) and Rates of change in these directions.
Let's first calculate the gradient vector,
∇f(x, y, z) = ∂f/∂x i + ∂f/∂y j + ∂f/∂z k,
∂f/∂x = eˣ + 4z cos'(lnx) * 1/x
∂f/∂y = 0
∂f/∂z = 4cos'(lnx)
Rate of change of f(x, y, z) at P(1, In2, 1/2) in the direction of vector,
v = ai + bj + ck is given by
D_vf(P) = ∇f(P).v
Now we need to find a unit vector in the direction of increasing f(x, y, z) and another unit vector in the direction of decreasing f(x, y, z) most rapidly.
Let's find the unit vector in the direction of increasing f(x, y, z) by taking
v = ∇f/|∇f| and the unit vector in the direction of decreasing f(x, y, z) most rapidly by taking
v = -∇f/|∇f|.
For increasing:
|∇f| = √(eˣ + 4z cos'(lnx) * 1/x)² + 0² + 4²
= √(e¹ + 4 * 1/2 * 1/1)² + 16
= √45v1
= (1/sqrt(45))(∂f/∂x i + ∂f/∂y j + ∂f/∂z k)
At P(1, In2, 1/2) is
v1 = (1/sqrt(45))(e¹ + 4 * 1/2 * 1/1 i + 0 j + 4 k)
= (1/sqrt(45))(e + 4k)
For decreasing:
|∇f| = √(eˣ + 4z cos'(lnx) * 1/x)² + 0² + (-4)²
= √(e¹ + 4 * 1/2 * 1/1)² + 16
= √45v2
= (-1/sqrt(45))(∂f/∂x i + ∂f/∂y j + ∂f/∂z k)
At P(1, In2, 1/2) is
v2 = (-1/sqrt(45))(e¹ + 4 * 1/2 * 1/1 i + 0 j + 4 k)
= (-1/sqrt(45))(e + 4k)
Now, we need to find the rates of change in the directions v1 and v2. Rate of change of f(x, y, z) at P(1, In2, 1/2) in the direction of v1 is,
D_v1f(P) = ∇f(P).v1
= (1/sqrt(45))(e + 4k).(e + 4k)
= (1/sqrt(45))(e² + 16)
= (1/sqrt(45))(e² + 16)
For the direction of v2,Rates of change of f(x, y, z) at P(1, In2, 1/2) in the direction of v2 is,
D_v2f(P) = ∇f(P).v2
= (-1/sqrt(45))(e + 4k).(e + 4k)
= (-1/sqrt(45))(e² + 16)
= -(1/sqrt(45))(e² + 16)
Therefore, Direction of increasing is (1/sqrt(45))(e + 4k), direction of decreasing is (-1/sqrt(45))(e + 4k), rates of change in the direction of increasing is (1/sqrt(45))(e² + 16) and rates of change in the direction of decreasing is -(1/sqrt(45))(e² + 16).
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Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning. (Lesson 7-2)
A right triangle and an isosceles triangle
Given polygons a right triangle and an isosceles triangle sometimes be similar.
As given ,
Given polygons : A right triangle and isosceles triangle.
Polygon a right triangle and isosceles triangle never be similar.
Reason:
A right triangle is a triangle with one of the angle equals to 90 degree.A right triangle can be isosceles if and only if two acute angles are congruent to each other.If a right triangle is isosceles then they are similar.Through the transformation of dilation one can map one triangle onto others.Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.
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Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
the data set in ceosal2 contains information on chief executive officers for u.s. corporations. the variable salary is annual compensation, in thousands of dollars, and ceoten is prior number of years as company ceo. find the average salary and the average tenure in the sample. how many ceos are in their first year as ceo (that is, ceoten
After calculation, the average salary is 865.8644 thousands of dollars and average tenure is 7.955 years. Number of CEOs who are in their first year as CEO is equal to 5.
Here are the steps in R Studio to perform the tasks:
(a) Finding the average salary and the average tenure in the sample:
Load the CEOSAL2 data set in R Studio using the read.csv function.
ceos <- read.csv("CEOSAL2.csv")
Calculate the average salary using the mean function:
average_salary <- mean(ceos$salary)
Calculate the average tenure using the mean function:
average_tenure <- mean(ceos$ceoten)
(b) Finding the number of CEOs in their first year as CEO and the longest tenure as CEO:
Use the sum function and a logical test to count the number of CEOs in their first year as CEO:
first_year_ceos <- sum(ceos$ceoten == 0)
Use the max function to find the longest tenure as CEO:
longest_tenure <- max(ceos$ceoten)
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A right circular cone is inscribed in a right circular cylinder. The volume of the cylinder is $72\pi$ cubic centimeters. What is the number of cubic centimeters in the space inside the cylinder but outside the cone
The space inside the cylinder but outside the inscribed cone has a volume of 36π cubic centimeters.
Let's assume the radius of the cone is r and the height is h. Since the cone is inscribed in the cylinder, the base radius of the cone is equal to the radius of the cylinder, and the height of the cone is equal to the height of the cylinder.
The volume of a cylinder is given by V_cylinder = π\(r^2\)h, and in this case, we are given that the volume of the cylinder is 72π cubic centimeters.
72π = π\(r^2\)h
Simplifying the equation, we have:
\(r^2\)h = 72
Now, the volume of a cone is given by V_cone = (1/3)π\(r^2\)h. Since the cone is inscribed in the cylinder, its base radius and height are the same as that of the cylinder.
The volume of the space inside the cylinder but outside the cone is the difference between the volume of the cylinder and the volume of the cone:
V_space = V_cylinder - V_cone
Substituting the values, we have:
V_space = π\(r^2\)h - (1/3)π\(r^2\)h
Simplifying further, we get:
V_space = (2/3)π\(r^2\)h
Since \(r^2\)h = 72 from the earlier equation, we can substitute this value:
V_space = (2/3)π(72)
V_space = 48π
Therefore, the space inside the cylinder but outside the cone has a volume of 48π cubic centimeters, or 36π cubic centimeters after simplification.
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Brainliest Oppurtunity, thanks.