01.01 LC)
Evaluate the following: 42 ÷ (3 + 1). (5 points)
Group of answer choices
4
3
2
1
PLEASE I NEED IT NOW.....In order to solve for the variable in the equation 1-(x+2)+2x = 5(2x-5) - X, Mikel first applies the distributive property
Which equation is a result of this step?
O 1-X+2+2x– 10x-5-X
O 1-X-2+ 2x = 10x-25- X
O 1-X-1+2x = 10X-25- X
O 1-X-1+ 2x = 10x-5- X
Answer:
1 -x -2 +2x = 10x -25 -x
Step-by-step explanation:
1-(x+2)+2x = 5(2x-5) - X,
Distribute
1 -x -2 +2x = 10x -25 -x
Answer:
b
Step-by-step explanation:
i just did the test <33
your goal is to bike and jog a total of 150 miles this month. you want to bike no more than 120 miles this month. the equation 12.5x+6y=150 models this situation where x is the number of hours you bike and y is the number of hours you jog
A. Interpret the terms and coefficients in the equation.
B. Graph the equation. Interpret the intercept(s).
The y-intercept shows that you can jog __ hours when you do not bike any miles.
You bike for 9 hours this month. How many hours must you jog to reach your goal? How many miles do you bike? jog?
You must jog ___hours to reach the goal.
Bike: ___mi
Jog:___mi
Sam paid 75 for 15hamburgers what is the unit price of one hamburger
The cost of one hamburger is 5
look at the attached picture
Hope it will help you
Good luck on your assignment
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15 burgers = 75
Divide by 15 to get the price of 1
1 burger = 5
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Solve the following inequality.Show your work. 2m + 6 > 7(m – 2)
Charlotte uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint and the rest is white paint how many pints of white paint did she use to paint her bedroom express your answer in fraction and decimal form solve on paper then check your work.
Volume of white paint needed to paint the room will be 2.52 pints and volume of blue paint needed will be 3.78 pints.
Total volume of blue paint and white paint = 6.3 pints
Fraction of blue paint = 3/5
Volume of blue paint she used = fraction × total volume
= 3/5 × 6.3 = 3.78
Volume of white paint = Total volume - volume of blue paint
= 6.3 - 3.78
= 2.52
We can also calculate the volume by using fraction
Fraction of white paint she used = 1 - 3/5 = 2/5
Volume of white paint = 2/5 × 6.3 = 2.53 pints
So the volume of white paint needed is 2.52 pints
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Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope
A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.
A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.
Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).
Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.
Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.
Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.
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Consider the rectangular prism.What is the surface area of the rectangular prism?
124 in
208 in
240 in
248 in
Answer: 240 in 2
Step-by-step explanation:
just did it
Solve by substitution
Answer:
(1,4)
Step-by-step explanation:
Answer: x = 1, y = 4
Steps: 3y + 4x = 16, -2x + y = 2
Isolate y for 3y + 4x = 16: y = (16 - 4x ÷ 3)
Substitute y into the other equation (-2x + y = 2): -2x + (16 - 4x ÷ 3) = 2
Simplify: 16 - 10x ÷ 3 = 2
Isolate x for 16 - 10x ÷ 3 = 2: x = 1
Substitute x = 1 into y = (16 - 4x ÷ 3): y = 16 - 4x · 1 ÷ 3
y = 4, x = 1
Plz mark brainliest:)
A seven-sided number cube with sides numbered 1, 2, 3, 4, 5, 6, 7 is rolled. What is the probability that a 4 or an odd number is rolled?.
The probability that a 4 or an odd number is rolled be 4/7.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Let the given data be 1, 2, 3, 4, 5, 6, 7
The odd numbers: {1, 3, 5, 7}
The values that are 7, which is just the set { 7 }
Add the two sets of 1, 3, 5, and 7 to get 1, 3, 5, and 7. Due to the overlap, the first set does not change.
The set has 4 things (1, 3, 5, 7), out of the total of 7 items (1, 2, 3, 4, 5, 6, 7).
Therefore, 4/7 is the probability stated as a fraction.
This is nearly equivalent to 0.5714, or 57.14 percent.
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3) (2 Marks) Find the range and codomain of the matrix transformation T A
, where A= \( {\left[\begin{array}{cc}1 & 2 \\ 1 & -2 \\ 0 & 1\end{array}\right] \). Is the result true if the functions are not linear? Justify your \( } \) answer.
T A can be seen as a linear transformation from R^2 to R^3.
To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:
T A (x) = A x
Therefore, T A can be seen as a linear transformation from R^2 to R^3.
To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:
A = (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])
The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].
To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.
If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.
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Question Content Area At XLT Inc., variable costs are $80 per unit, and fixed costs are $40,000. Sales are estimated to be 4,000 units. a. If the company switches from a plan to produce 8,000 units to a plan to produce 10,000 units, absorption costing operating income would by $fill in the blank 2 . b. How much would variable costing operating income differ between the two production plans?
a. Switching from a production plan of 8,000 units to a plan of 10,000 units would result in an absorption costing operating income of $fill in the blank 2.
b. The difference in variable costing operating income between the two production plans can be calculated based on the change in the number of units produced.
a. To determine the absorption costing operating income, we need to consider both the fixed and variable costs. In absorption costing, fixed costs are allocated to each unit produced, while variable costs are directly attributed to the units. Given that the fixed costs are $40,000 and the variable cost per unit is $80, we can calculate the absorption costing operating income for each production plan
For the initial plan of 8,000 units:
Total fixed costs = $40,000
Total variable costs = 8,000 units * $80 per unit = $640,000
Total costs = Total fixed costs + Total variable costs = $40,000 + $640,000 = $680,000
For the revised plan of 10,000 units:
Total fixed costs remain the same at $40,000
Total variable costs = 10,000 units * $80 per unit = $800,000
Total costs = Total fixed costs + Total variable costs = $40,000 + $800,000 = $840,000
Absorption costing operating income = Sales - Total cost
b. Variable costing operating income differs between the two production plans as it only considers the variable costs directly associated with the units produced. In variable costing, fixed costs are treated as period costs and are not allocated to the units.
For the initial plan of 8,000 units:
Total variable costs = 8,000 units * $80 per unit = $640,000
For the revised plan of 10,000 units:
Total variable costs = 10,000 units * $80 per unit = $800,000
The difference in variable costing operating income between the two plans would be $800,000 - $640,000 = $160,000.
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870.497 ÷ 0.823=?
round your answer to the nearest whole number
Answer:
870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1
Step-by-step explanation:
cause 0-4 numbers are rounded down
If you can buy 3 packs of soda
for $6.00, how much will 4 packs of
soda cost
Answer:
it will be 8 dollars
Step-by-step explanation:
so each pack is two dollars and just add two
I think of a number, multiply it by 3, and add 4, i get 22
what is the solution of the system? use the elimination method. {4x 2y=182x 3y=15 enter your answer in the boxes.
The solution of the system is x = 4 and y = 1.
To solve the system of equations using the elimination method, we can eliminate one variable by adding or subtracting the equations.
In this case, we can eliminate the variable "x" by multiplying the first equation by -2 and adding it to the second equation.
1. Multiply the first equation by -2:
-8x - 4y = -36
2. Add the modified first equation to the second equation:
-8x - 4y + 2x + 3y = -36 + 15
Simplifying the equation gives:
-6x - y = -21
3. Solve the new equation for one variable. Let's solve for y:
-y = -21 + 6x
y = 21 - 6x
4. Substitute the value of y into one of the original equations. Let's use the first equation:
4x + 2(21 - 6x) = 18
Simplifying the equation gives:
4x + 42 - 12x = 18
-8x = -24
x = 3
5. Substitute the value of x back into the equation for y:
y = 21 - 6(3)
y = 21 - 18
y = 3
Therefore, the solution to the system of equations is x = 3 and y = 3.
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a grocery store company wanted to know how well some of their local stores were doing. in order to find out, they hired three different reviewers to rate 10 local stores. the test statistic was 2.3, what is the p value?
Assuming a two-tailed test with 9 degrees of freedom (10 stores minus 1), the p-value for a t-value of 2.3 is approximately 0.040.
In order to calculate the p-value, we need to know the specific test being used and the significance level of the test. Let's assume that the test is a two-tailed t-test with a significance level of 0.05.
Since the test statistic is 2.3, we need to find the probability of getting a t-value of 2.3 or greater (in absolute value) under the null hypothesis. We can use a t-distribution table or a statistical software to find the corresponding p-value.
Assuming a two-tailed test with 9 degrees of freedom (10 stores minus 1), the p-value for a t-value of 2.3 is approximately 0.040. Therefore, if the significance level of the test is 0.05, we would reject the null hypothesis and conclude that there is a significant difference between the ratings given by the three reviewers.
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Find the solution set for the system of equations that include the equation if the line shown and each equation below
For the system of equation provided,
equation of line coordinates
y = 0.4x - 1. (5, 1) (0, -1) (2.5, 0)
5x + 8y = -8 (0, -1), (1, -1.625) (-1.6, 0).
x - y = 4 (0, -4) (1, -3) (4,0)
10x + 4y = 25 (2, 1.25) (4, 3.75) (2.5, 0)
How do we solve the system of equations?Find the solution for the system of equation
a. We will calculate the slopes between each pair of points and see if they are the same. we use the formula slope = (y2 - y1) / (x2 - x1).
Between (5,1) and (0,-1):
slope1 = (1 - (-1)) / (5 - 0) = 2 / 5 = 0.4
Between (5,1) and (2.5,0):
slope2 = (1 - 0) / (5 - 2.5) = 1 / 2.5 = 0.4
Between (0,-1) and (2.5,0):
slope3 = (-1 - 0) / (0 - 2.5) = -1 / -2.5 = 0.4
Since all three have the same slope, let's use the point-slope form of the line equation, y - y1 = m(x - x1)
y - 1 = 0.4×(x - 5)
y = 0.4x + 1 - 0.4×5
y = 0.4x - 1
b. 5x + 8y = -8 ⇒ 5×0 + 8y = -8 = -1 ∴ (0, -1)
5×1 + 8y = -8 = -13/8 = -1.625 ∴ (1, -1.625)
5x + 8(0) = -8 ⇒ x= -8/5 = -1.6 ∴ (0, -1.6)
c. x - y = 4 ⇒ 0 - y = 4 ⇒ y = -4 ∴ (0, -4)
1 - y = 4 ⇒ y = -3
d. 10x + 4y = 25 ⇒ 10(2) + 4y = 25 ⇒4y = 5 ⇒ y = 5/4 = 1.25 ∴ (2, 1.25)
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Which most closely estimates 387÷19?
Answer:
the answer is 20 with a remainder of 7
Step-by-step explanation:
hope this helps if not let me know
Answer All 4 question to get brainley and must be correct.
Answer:
C B A D
Step-by-step explanation:
I NEED HELP FAST!!!!!!!
The midpoint of AB is M(0,3). If the coordinates of A are (1, 2), what are the
coordinates of B?
Answer:
B = (-1, 4)
Step-by-step explanation:
M = (A+B)/2
2M -A = B . . . . solve for B
__
B = 2(0, 3) -(1, 2) = (2·0 -1, 2·3 -2)
B = (-1, 4)
the radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. how fast is the surface area changing when the radius is 10 centimeters? hint: the surface area is . rate of change of surface area
The surface area of balloon is growing at a pace of 160 square centimetres per minute is when radius is 10 centimetres.
We are aware that the formula
\(A=4r ^{2} \)
gives the area of a sphere, where A is the amount and r the radius of a circle.
We must take the gradient of the surface site in relation to time to determine how quickly the total area is changing.
\(dA/dt = d/dt(4r ^{2} ).\)
The following can be written using the chain rule:
\(dA/dt = 8r(dr/dt)\)
As we are aware that the radius changes at a rate of 2 centimetres per minute, dr/dt=2. This number can be used as a substitute in the equation above:
\(dA/dt = 8πr (2)\)
The balloon's surface area when the radius equals 10 centimetres equals:
\(A = 4π(10)^2 = 400π\)
The equation we calculated above can now be changed by substituting the radius as well as the changes in the rate of radius:
\(dA/dt = 8π(10)(2) = 160π\)
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A-D help please I’ll mark brainliest determine if they are equivalent you only have to put yes or no for A-b or 1-4
Answer:
up to down: yes, no, no, yes
Step-by-step explanation
PLEASE HELP ITS DUE TODAY (THE LINES ARENT STRAIGHT BUT JUST PRETEND THEY ARE)
Answer:
25% for purple
25% for yellow
50% for green
Step-by-step explanation:
Complete steps 2 and 3 to solve the system of equations.
y = 4x – 5,
y = –3
Answer:
Point form: (\(\frac{1}{2}\),-3)
Equation form: x=1/2 y=-3
Step-by-step explanation:
hope it helps ;)
Determine whether the events are overlapping or disjoint. You draw a card from a standard deck of 52 playing cards. Event a: you draw a heart. Event b: you draw an odd-numbered card. Responses overlapping overlapping disjoint disjoint question 2 state the number of ways in which a or b can occur. Ways
There are 33 ways in which event a or b can occur.
For the given events:
Event a: You draw a heart.
Event b: You draw an odd-numbered card.
The events are overlapping because it is possible for a card to satisfy both conditions (being a heart and an odd-numbered card). Specifically, the card "3 of Hearts" satisfies both events.
To determine the number of ways in which either event a or b can occur, we can calculate the number of cards that satisfy each event and then subtract the overlap (the card that satisfies both events).
Number of ways event a can occur:
There are 13 hearts in a deck, so there are 13 ways to draw a heart.
Number of ways event b can occur:
There are 26 odd-numbered cards in a deck (Ace, 3, 5, 7, 9, Jack), so there are 26 ways to draw an odd-numbered card.
Number of ways event a and b can occur:
There are 6 odd-numbered hearts in a deck (3 of Hearts, 5 of Hearts, 7 of Hearts, 9 of Hearts, Ace of Hearts, Jack of Hearts), so there are 6 ways to draw a card that satisfies both events.
Therefore, the number of ways in which either event a or b can occur is:
Ways = (Number of ways event a can occur) + (Number of ways event b can occur) - (Number of ways event a and b can occur)
= 13 + 26 - 6
= 33
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Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer: y = -1/2x+7/2.
Step-by-step explanation:
Firstly, we need to understand the formula of point-slope form: y1-y2=m(r1-r2)
Where x and y is the coordinates and m is the slope respectively.
To find the slope:
y1-y2/r1-r2
In this case:
5-4/-3-(-1)=-1/2
We can then put the above slope and the point (-1,4) into the formula:
4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2
Alternatively:
y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2
Answer:
y - 5 = -1/2(x+3)
Step-by-step explanation
Slope = y2-y1/x2-x1
Slope = 4-5/-1-(-3) = -1/2
(x1,y1) = (-3,5)
final answer : y - 5 = -1/2(x+3)
What is the relationship between force, mass, and acceleration?
Step-by-step explanation:
Force = Mass × Acceleration
SI Unit of Force Is NewtonSI Unit of Mass Is Kilograms SI Unit of Acceleration Is Metre per second Square .Hope it helps :)
★ As per newton's second law of motion, force is measured as the product of mass and acceleration\(.\)
F = m × aF denotes force
m denotes mass
a denotes acceleration
➤ Force is a polar vector quantity as it has point of application.
It has both magnitude as well as direction.
SI unit of force : N (newton)Hope It Helps!Need Help PLease Very Importatn giving 20 POINTS
Answer:
The last option: \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
Step-by-step explanation:
Main concepts:
Concept 1. Parts of a Radical
Concept 2. Radicals as exponents
Concept 3. Exponent properties
Concept 4. How to simplify a radical
Concept 1. Parts of a Radical
Radicals have a few parts:
the radical symbol itself,the "index" (the number in the little nook on the left), andthe "radicand" (the part inside of the radical).If the index isn't shown, it is the default index of "2". This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.
In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.
Concept 2. Radicals as exponents
For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical. In equation form:
\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)
So, the original expression can be rewritten as follows:
\(\sqrt[4]{81x^{18}y^{6}}\)
\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)
Concept 3. Exponent properties
There are a number of properties of exponents:
Multiplying common bases --> Add exponents: \(x^ax^b =x^{a+b}\) Dividing common bases --> Subtract exponents: \(\dfrac{x^a}{x^b} =x^{a-b}\) Bases raised to powers, raised again to another power, multiplies powers: \((x^a)^b =x^{ab}\) A "distributive" property for powers across multiplication (warning... does not work if there are ANY addition or subtractions): \((xy)^a =x^{a}y^{a}\)Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...
\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)
Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...
\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)
Reducing those fractions, (both the numerators and denominators have a factor of 2)...
\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)
Rewriting the exponent of the "81" back as a radical...
\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
Concept 4. How to simplify a radical
For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.
In our case, the index is 4. So, we're looking for a number that when multiplied together four times, gives a result of 81.
One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).
Note that 81 factors into 9*9, which further factors into 3*3*3*3
This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:
\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)
So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
This is the last option for the multiple choice.