Answer:
( 5, 3 )
Step-by-step explanation:
I imagine you plug in the given ordered pair to the rule:
( x - 3, y + 9 )
( 2 - 3, 12 + 9 ) ( - is the same as going to the right, so it basically adds ).
( + is the same as going to the right, so it basically subtracts ).
( 5, 3 )
Hopefully this helped!
Brainliest please?
−5x+2y=9
y=7x
for substitution
The value of x from the equation is 1
The value of y from the equation is 7
How to calculate the value of x and y ?-5x+2y= 9............equation 1
y= 7x...............equation 2
Substitute 7x for y in equation 1
-5x + 2(7x) = 9
-5x + 14x= 9
9x= 9
x= 9/9
x= 1
Substitute 1 for x in equation 2
y= 7x
y= 7(1)
y= 7
Hence the value of x is 1 and the value of y is 7
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Gustavo wrote the equation2.4/ =-4 what number makes the equation true the picture it is number six and can yall explain it please
The given expression is,
\(\frac{2.4}{\square}=-4\)Let the unknown number be x, Let us divide each term by -4, we get,
\(\begin{gathered} \frac{2.4}{-4x}=-\frac{4}{-4} \\ \frac{2.4}{-4x}=\frac{1}{1} \end{gathered}\)On cross mutiplying, we get,
\(\begin{gathered} \frac{2.4}{-4x}=\frac{1}{1} \\ 2.4=-4x \\ x=\frac{2.4}{-4}=-0.6 \end{gathered}\)Thus, the required number is -0.6.
Math help please show work
Answer:
7 in
Step-by-step explanation:
Answer:
a = 7 in
Step-by-step explanation:
\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)
A 95% confidence interval for the mean reading achievement score for the population of third grade students is (44.2, 54.2). The margin of error of this interval is
a. 95%
b. 2.5 c. 54.2
d. 5
e. The answer cannot be determined from the given information
The answer to the question is (d) 5. The margin of error of the confidence interval is calculated by subtracting the lower bound from the upper bound and then dividing by 2. In this case, the margin of error is (54.2 - 44.2) / 2 = 5.
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence. In this case, we are given a 95% confidence interval for the mean reading achievement score for the population of third grade students. The interval is (44.2, 54.2), which means that we are 95% confident that the true mean reading achievement score for the population of third grade students is between 44.2 and 54.2.
The margin of error is the amount of error that is allowed for in a confidence interval. It is calculated by subtracting the lower bound from the upper bound of the interval and then dividing by 2. In this case, the margin of error is (54.2 - 44.2) / 2 = 5. This means that the actual mean reading achievement score for the population of third grade students is likely to be within 5 points of the sample mean reading achievement score.
The answer cannot be (a) 95% because the 95% confidence level refers to the level of confidence in the interval, not the margin of error. The answer cannot be (b) 2.5 or (c) 54.2 because they do not represent the margin of error for the interval. Therefore, the correct answer is (d) 5.
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create a video explaning the solution of this problem.
help me create a script and the answer for the problem thank you!
The grounded ends of the guy wires are 15 meters apart.
How to calculate tie valueUsing the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).
Let's denote the length of the base as 'x.'
According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.
Applying the Pythagorean theorem:
x² + 20² = 25²
x² + 400 = 625
x² = 225
x = √225
x = 15
Therefore, the grounded ends of the guy wires are 15 meters apart.
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Find the area of the quadrilateral with the given coordinates A(-2, 4),
B(2, 1), C(-1, -3), D(-5, 0)
The quadrilateral formed by the vertices A(-2, 4), B(2, 1), C(-1, -3), and D(-5, 0) has an area of 21/2 square units.
What is the area of the quadrilateral with vertices A(-2, 4), B(2, 1), C(-1, -3), and D(-5, 0)?To find the area of the quadrilateral with the given coordinates A(-2, 4), B(2, 1), C(-1, -3), D(-5, 0), we can use the formula for the area of a quadrilateral in the coordinate plane:
Area = |(1/2)(x1y2 + x2y3 + x3y4 + x4y1 - x2y1 - x3y2 - x4y3 - x1y4)|
where (x1, y1), (x2, y2), (x3, y3), and (x4, y4) are the coordinates of the vertices of the quadrilateral.
Substituting the given coordinates, we get:
Area = |(1/2)(-2×1 + 2×(-3) + (-1)×0 + (-5)×4 - 2×4 - (-1)×1 - (-5)×(-3) - (-2)×0)|Area = |(-1 - 6 + 0 - (-20) - 8 + 1 + 15)|/2Area = 21/2Therefore, the area of the quadrilateral with the given coordinates is 21/2 square units.
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Please Answer!
Which expression is equivalent to the given expression?
4(a−3)=
−8a
4a−12
4a−3
−4(a+3)
Answer: The answer is 4a−12
A web designer charges customers an initial consultation fee plus an hourly rate. The table shows the linear relationship between x, the number of hours and y, the total cost of hiring the designer. a. Find the rate of change b. What does the rate of change represent in the context of the situation?
The rate of change means that the designer hourly charge is $55 per hour
Linear equation
A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost of hiring the designer after x hours.
From the table, using the point (0, 125) and (15, 950):
m = y₂-y₁/x₂-x₁= 950- 125/15-0 = 55The rate of change means that the designer hourly charge is $55 per hour
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jerry climbed 210 feet in elevation. He then went down 300 feet. What integer represents his total change in elevation
Answer:
210-300=-90
Step-by-step explanation:hope this helps plz mrk me brainliest
Which single transformation can be applied to the graph of y = 72 StartRoot x EndRoot to produce the graph of y = 9 StartRoot x EndRoot?
Answer:
B
Step-by-step explanation:
Transformation that can be applied to the graph of y = 72 √x to produce the graph of y = 9√x is vertical compression.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Here the original graph is,
y = 72√x
The new graph is,
y = 9√x = 1/8 (72 √x)
A positive constant between 0 and 1 is multiplied to the original graph tp get the new graph.
Vertical compression is the transformation of a function f(x) such that the function is multiplied with a positive constant which is in between 0 and 1 or g(x) = k f(x), 0 < k < 1. If this positive constant is greater than 1, we get a vertical stretch.
So here the transformation is vertical compression.
Hence the transformation applied to the graph y = 72√x is vertical compression.
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Identify the parent function that can be used to graph the function f(x) =4|x|-3
c. F(x) = x
b. F(x) = [x]
d. f(x) = |x|
Answer:
d
Step-by-step explanation:
f(x) = |x| will always be parent function unless told otherwise.
evaluate the integral. 10) ∫ (2x-1) ln(3x) dx
To evaluate the integral 10) ∫ (2x-1) ln(3x) dx, we will use integration by parts, which involves the formula ∫udv = uv - ∫vdu, where u and dv are differentiable functions.
Step 1: Choose u and dv:
u = ln(3x), so du = (1/x) dx
dv = (2x - 1) dx, so v = x^2 - x
Step 2: Apply integration by parts formula:
∫ (2x-1) ln(3x) dx = uv - ∫vdu
= (x^2 - x)ln(3x) - ∫(x^2 - x)(1/x) dx
Step 3: Simplify the integral:
= (x^2 - x)ln(3x) - ∫(x - 1) dx
Step 4: Integrate the simplified integral:
= (x^2 - x)ln(3x) - (x^2/2 - x). Step 5: Add the constant of integration, C:
= (x^2 - x)ln(3x) - (x^2/2 - x) + C
So, the evaluated integral is ∫ (2x-1) ln(3x) dx = (x^2 - x)ln(3x) - (x^2/2 - x) + C.
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Please answer !!! the coefficients in the expansion of (x+y)^5 are
a. 0,1,5,10,5,1,0
b. 1,5,10,10,5,1
c. 0,5,10.10,5,0
d. 1,5,10,5,1
The coefficients in the expansion of (x+y)⁵ are 1,5,10,5,1 (option d)
To find the coefficients in the expansion of (x+y)^5, we can use the binomial theorem, which states that:
(x+y)ⁿ = ⁿC₀xⁿy⁰ + ⁿC₁xⁿ⁻¹y¹ + ⁿC₂xⁿ⁻²y² + ... + ⁿCₙx⁰yⁿ
where ⁿCₓ represents the binomial coefficient, which is the number of ways to choose k items from a set of n items. The formula for ⁿCₓ is:
ⁿCₓ = n!/(x!(n-x)!)
where n! represents the factorial of n, which is the product of all positive integers up to n.
Using this formula, we can find the coefficients for (x+y)⁵:
n = 5
ⁿC₀ = 1/(0!(5-0)!) = 1/1 = 1
ⁿC₁ = 5/(1!(5-1)!) = 5/24
ⁿC₂ = 10/(2!(5-2)!) = 10/120 = 1/12
ⁿC₃ = 10/(3!(5-3)!) = 10/60 = 1/6
ⁿC₄ = 5/(4!(5-4)!) = 5/24
ⁿC₅ = 1/(5!(5-5)!) = 1/120
Therefore, the coefficients in the expansion of (x+y)⁵ are:
=> 1, 5, 10, 5, 1
a. 0, 1, 5, 10, 5, 1, 0
b. 1, 5, 10, 10, 5, 1
c. 0, 5, 10, 10, 5, 0
d. 1, 5, 10, 5, 1
Therefore, the correct answer is option d.
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In 1996, forty percent of the students at a major university were business majors, 35% were engineering majors and the rest of the students were majoring in other fields. in a random sample of 600 students from the same university taken in 1997, 200 were business majors, 220 were engineering majors, and the remaining students in the sample were majoring in other fields. at a 5% significance level, test to see if there has been a significant change in the proportions between 1996 and 1997
The answer is:
A] reject H₀ and conclude there has been a significant change.
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
To test whether there has been a significant change in the proportions of majors between 1996 and 1997, we can use a chi-square test of independence. The null hypothesis (H₀) for this test is that there is no significant change, while the alternative hypothesis (H₁) is that there is a significant change.
Let's perform the chi-square test step by step:
Step 1: Define the hypotheses:
Null hypothesis (H₀): There is no significant change in the proportions of majors between 1996 and 1997.
Alternative hypothesis (H₁): There is a significant change in the proportions of majors between 1996 and 1997.
Step 2: Set the significance level (α). In this case, it is given as 5%, which corresponds to α = 0.05.
Step 3: Calculate the expected frequencies under the null hypothesis. Since we know the proportions of majors in 1996, we can use those proportions to calculate the expected frequencies for 1997.
In 1996, 40% were business majors, 35% were engineering majors, and the rest were majoring in other fields. Thus, the expected frequencies for the 1997 sample are:
Business majors: 0.4 * 600 = 240
Engineering majors: 0.35 * 600 = 210
Other majors: (1 - 0.4 - 0.35) * 600 = 150
Step 4: Create a contingency table and calculate the chi-square test statistic:
| 1996 | 1997 |
Business majors | 240 | 200 |
Engineering majors | 210 | 220 |
Other majors | 150 | 180 |
The chi-square test statistic is calculated using the formula:
χ² = Σ((Oᵢ - Eᵢ)² / Eᵢ)
where Oᵢ is the observed frequency and Eᵢ is the expected frequency for each cell.
Calculating the chi-square statistic for this table, we get:
χ² = ((200-240)² / 240) + ((220-210)² / 210) + ((180-150)² / 150)
Step 5: Determine the degrees of freedom (df) for the chi-square distribution. For a test of independence, df = (rows - 1) * (columns - 1). In this case, df = (3 - 1) * (2 - 1) = 2.
Step 6: Determine the critical value. We can use a chi-square table or a statistical calculator to find the critical value corresponding to α = 0.05 and df = 2. The critical value for a 5% significance level is approximately 5.991.
Step 7: Compare the chi-square test statistic to the critical value. If the chi-square test statistic is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
If χ² > 5.991, we reject the null hypothesis (H₀) in favor of the alternative hypothesis (H₁). If χ² ≤ 5.991, we fail to reject the null hypothesis.
Hence, Performing the calculations, if you find that χ² > 5.991, then there is a significant change in the proportions of majors between 1996 and 1997.
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Find the area of this L shaped prism in cm2
The area of the L-shaped prism is 360 cm^2.
To find the area of the L-shaped prism in cm^2, we need to add up the areas of all six faces.
First, we can find the area of the two rectangular faces by multiplying the length and width of each face. From the diagram, we see that one rectangular face has dimensions 8 cm by 12 cm, while the other has dimensions 6 cm by 12 cm. Therefore, the total area of the rectangular faces is:
8 cm x 12 cm + 6 cm x 12 cm = 144 cm^2 + 72 cm^2 = 216 cm^2
Next, we can find the area of the four square faces by multiplying the length of one side by itself and then multiplying by the number of faces. Each square face has dimensions of 6 cm by 6 cm. Therefore, the total area of the square faces is:
6 cm x 6 cm x 4 = 144 cm^2
To find the total area of the L-shaped prism, we add up the areas of all six faces:
216 cm^2 + 144 cm^2 = 360 cm^2
Therefore, the area of the L-shaped prism is 360 cm^2.
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For f(x) = x + 7, find f(x) when x = 3 and when x = -5.
Answer:
When x = 3
f(3) = 3 + 7 = 10
When x = -5
f(-5) = -5 + 7 = 2
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first question is Bitcoin is a virtual currency used to buy things online. An investment of $5125 in bitcoins grew 48 times. What is the total value of the investment?
And the second question is The cost of each projector in an office is $9841. Find the cost of 210 such projectors.
$
tell me the answer A S A P plz
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Hey mate 1. $246,000 2. $20,66,610 is your Answer
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equivalent expression for 10(y^2+2.45)
Answer:
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable. Therefore, the equivalent expression for the given expression is 10y²+24.5.
Step-by-step explanation:
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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Need help for this problem
Answer:
161 degrees
Step-by-step explanation:
corresponding angles theorem
Answer:
161
Step-by-step explanation:
if g and h are parallel, angle 4 and 161 are the same
Express each of following in ratio of the first quantity to second , in its lowest term .
1, in the form a:b , 2, as in fraction
a, 25 cents , 80 cents
b, 210 celcius , 360 Celsius
c, 250 cm , 1m
d, 80 cents , £ 1.20
Can someone help, please will mark brainlist
Answer:D
Step-by-step explanation:
please help me find total surface area
Answer:
190mm2
Step-by-step explanation:
8x6=48
8x7=56
8x7=56
6x5/2=15
6x5/2=15
48+56+56+15+15=190
factor 2x2 + 5x - 7.
The factor of 2x² + 5x - 7 is (2x + 7)(x + 1).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A quadratic expression 2x² + 5x - 7.
Now, Two numbers multiply to - 14 and add to + 5 is + 7 and - 2.
Therefore, The factor of 2x² + 5x - 7 is,
2x² + 7x - 2x - 7.
= x(2x + 7) + 1(2x + 7).
= (2x + 7)(x + 1).
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witch rational number is between -11/15 and -5/6?
answers to chose from -1, -7/10, -4/5 and -13/15
Answer:
-4/5
Step-by-step explanation:
To find this we can look for the \(LCD\) between all the numbers
Here are our \(LCD's\) (Least Common Denominator)
-22/30 and -25/30
It wouldn't be -1 because it isn't in between those numbers
It isn't -7/10 because if we turn it into our \(LCD\) it would be -21/30 which isn't in between those numbers
It is -4/5 because if we turn in into our \(LCD\) it would be -24/30 which is between those numbers
This means we have our right answer we know our last one is incorrect
enzymes : Fish that has been dried in the song keeps longer than wet fish.
Answer:
If the question is fix the sentence than here:
Step-by-step explanation:
A fish that has been dried in the sun lasts longer than a wet fish.
20 POINTS
good morning, can you please help me
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
Whoever has ALL correct answers get brainiest would appreciate if this was done within 30 mins
Step 1: Finding the part-to-part and part-to-whole ratios
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
What is the ratio of water to drink mix? (2 points)
What is the ratio of drink mix to water? (2 points)
What is the ratio of drink mix to mixed energy drink? (2 points)
What is the ratio of water to mixed energy drink? (2 points)
Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below. (2 points)
Original Ratio
+1
+2
+3
+4
Drink mix (cups)
3
4
Water (cups)
8
9
b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)
Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below. (2 points)
Original Ratio
×1
×2
×3
×4
Drink mix (cups)
3
Water (cups)
8
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)
Step 4: Calculating the right recipe for Jerome
Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.
How many cups of energy drink does Jerome need to make? (1 point)
How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing. (4 points)
The ratio of water to drink mix will be 8:3.
How to illustrate the ratio?To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
The ratio of water to drink mix will be:
= 8/3
= 8:3
The ratio of drink mix to water will be:
= 3/8
= 3:8
The ratio of drink mix to mixed energy drink will be:
= 3/1
= 3:1
The ratio of water to mixed energy drink will be:
= 8/1
= 8:1
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..
Which line screen setting are you most likely to use when printing a newspaper?
When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6