Answer:
(2,4)Step-by-step explanation:
Midpoint =
\(( \frac{x_1+x_2}{2} \frac{y_1 + y_2}{2} )\)
Endpoint :
\(x = \frac{x_1 + x_2}{2} \\ y = \frac{y_1 +y _2}{2} \)
Solve the equation:
13x³-159x²-412x-94=0
Answer:
First derivative the equation
39x²-318x-412=0
then use the quadratic formula
then x = 9.29 or x = -1.14
MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
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complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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Select all statements that are true.
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).what is the equation in slope-intercept form for the line that passes through the points (-1,3) and (-2,-3)
Answer:
slope = (-3-3)/(-2-(-1)) = -6/-1 = 6
y = mx + b
y = 6x + 9
Please mark brainliest :>
Answer:
y = 6x + 9
Step-by-step explanation:
Find the slope:
(3+3)/(-1+2) = 6
Then:
y = mx + b form,
so,
y = 6x + 9
we plugged in 6 (the slope) above
(im taking this test rn too !)
Help pls ASAP plssss
Answer:
y=2x-1
Step-by-step explanation:
The y-intercept is -1
The slope is 2
rx - sx + y = b solve for y
Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
Which of the following would be considered a sunk cost?
where's the "following" choices
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
HELP ASAP! (VERY EASY)
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)?
(5, –6)
(5, –3)
(9, –6)
(9, 3)
The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\) . Thus, option D is correct.
What is the adjacent vertices?To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:
The distance between \((5, 6)\) and \((9, 6)\) is \(4\) units.
The distance between \((5, 6)\) and \((5, 3)\) is \(3\) units.
The distance between \((9, 6)\) and \((5, 3)\) is \(5\) units.
Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).
However, only \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from \((5, 6)\) and \(4\) units away from (9, 6), forming a right angle with both.
Therefore, the correct answer is \((9, 3)\).
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URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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you mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quart of purple paint. How much blue paint and how much red paint do you use?
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.
Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,
x / y = (1/2) / (1/3)
x / y = 3/2 ...1
x + y = 5 ...2
From equations 1 and 2, then we have
(3/2) y + y = 5
(5/2) y = 5
y = 2 quart
Then the value of 'x' is given as
x + 2 = 5
x = 3 quart
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
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It take 4 minites to fill a 2/5 how many minutes per meter
The unit rate in minutes per meter is 10 minutes/meter.
What is unit conversion?
Unit conversion is the method of converting a quantity from one unit of measurement to another. In many cases, it is necessary to convert units of measurement to make them more meaningful, or to enable comparisons between different units.
We can start by finding the total time it would take to fill the aquarium to a depth of 1 meter.
If it takes 4 minutes to fill the aquarium to a depth of 2/5 meters, then we can find how long it would take to fill the aquarium to a depth of 1 meter by setting up the following proportion:
2/5 meters / 4 minutes = 1 meter / x minutes
To solve for x, we can cross-multiply and simplify:
(2/5) * x = 4 * 1
2x = 20
x = 10
Therefore, it would take 10 minutes to fill the aquarium to a depth of 1 meter.
The unit rate in minutes per meter is the time it takes to fill 1 meter of the aquarium, which we just calculated to be 10 minutes.
So, the unit rate in minutes per meter is 10 minutes/meter.
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Complete question : it takes 4 minutes to fill an empty aquarium to a depth of 2/5 meters. what is the unit rate in minutes per meter?
In the figure below, lines m and n are parallel.
n
400
m
(4x + 2)°
What is the value of x?
O 9.5
O 10.5
O 34.5
O 35.5
Answer:
34.5
Step-by-step explanation:
Since the lines are Parallel ,
Sum of co interior Angles will be 180° .
=> 4x + 2 + 40 = 180
=> 4x = 180 - 42
=> 4x = 138
=> x = 138/4
=> x = 34.5
Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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25 POINTS 2 MATH QUESTIONS NEED HELP ASAP
Answer:
it was b
Step-by-step explanation:
Can someone please help me!!!!
its 83
i have no explanation
If f(x) = -x2 + 6x, what is f(-3)?A) -162 B) -27 C) -9 D) 9
Answer:
-27
Step-by-step explanation:
f(x) = -x^2 + 6x
Let x = -3
f(-3) = -(-3)^2 + 6(-3)
= -9 - 18
-27
Answer:
f(3)= -9
Step-by-step explanation:
F(x)=-x2+6x
f(3)=--3^2+6.-3
f(3)=9+-18
f(3)=-9
I need help with this its urgent and due in 15 minutes, twice a number y is more than 8, how do I write this down in another way?
Answer:
Step-by-step explanation:
double the amount of apples is greater than 8
Hope that helps!
Find the value of x.
Answer:
x = 106 degrees
Step-by-step explanation:
x + 104 + 40 + 110 = 360
x + 254 (No more 254)
- 254 (Again no more 254)
x = 106
Is 2x - 3 = -7 x + 2 > y a true or false statement?
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The probability that a point chosen at random lies on the shaded region is given as follows:
4/7.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The area of the shaded region in this problem is given as follows:
4² = 16.
The total area of the figure is given as follows:
16 + 2 x 1/2 x 3 x 4 = 28.
Hence the probability is given as follows:
16/28 = 4/7.
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What is the difference?
-3 2/3 - (-2 1/4)
let's firstly convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)
Given a sphere with a diameter of 6.2cm, find its volume to the nearest whole
Answer:
the answer is 12
Step-by-step explanation:
d=2r=2*6.2=12.4
One find the surface area of the rectangular prism
Two find the surface area of the rectangular pyramid
Three find the surface area of the cube
The surface areas are 110 in², 87.6 mm² and 49 m².
Given that are solid figure, we need to find the surface area of them,
1) Triangular prism = perimeter × length + 2 × base area
= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²
2) Triangular pyramid = base area + perimeter × slant height / 2
= 1/2 × 5.2 × 6 + 3 × 6 × 8/2
= 87.6 mm²
3) Cube = 4side²
= 4 × (3 1/2)²
= 4 × 3.5²
= 49 m²
Hence the surface areas are 110 in², 87.6 mm² and 49 m².
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Can anyone help me with this?
a. The approximate value of the y-intercept is
b. The approximate value of the slope is
c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.
How to determine the y-intercept and slope of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (100 - 60)/(45 - 5)
Slope (m) = 40/40
Slope (m) = 1
At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 60 = 1(x - 5)
y = x - 5 + 65
y = x + 60
Part a.
Based on the equation above, the y-intercept is equal to 60.
Part b.
Based on the equation above, the slope is equal to 1.
Part c.
In this scenario, the expected number of cones of ice cream when the temperature is 30°C;
y = x + 60
y = 30 + 60
y = 90°C.
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HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
what are the property for each equation
Answer:
associative, distributive, commutative
Step-by-step explanation:
Commutative is something just flipped around so the 3rd equation would be commutative. Associative is something with the same numbers but asked in a different way so 1st would be associative. Distributive is breaking the equation down and apart to make it easier to complete so the 2nd would be distributive.
hope this helped :)
- may i get brainliest