Step-by-step explanation:
step 1. I assume the question is which of the following equations is parallel to y = -3x + 4
step 2. parallel equation have identical slopes (m)
step 3. 6x + 2y = 15 or y = -3x + 15/2 (solve for y)
step 4. 3x - y = 7 or y = 3x - 7 (solve for y)
step 5. 2x - 3y = 6 or y = (2/3)x - 2 (solve for y)
step 6. x + 3y = 1 or y = (-1/3)x + 1/3
step 7. since y = mx + b we want m to be the same
step 8. the answer is A since they both have the same slope.
help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
 line m || line n m<4 = 72°
what is the measure of angle 1?
Answer:
angle 1 = 108°
Step-by-step explanation:
You want the measure of angle 1, given the measure of angle 4 is 72° in the diagram.
Linear pairAngles 1 and 4 are a linear pair, so are supplementary:
angle 1 + angle 4 = 180°
angle 1 + 72° = 180°
angle 1 = 108° . . . . . . . subtract 72°
Define your variables, write a system of equations, use your calculator to solve the system of equations and answer the problem.
A grocer sells milk chocolate at $2.60 per pound, dark chocolate at $4.80 per pound, and dark chocolate with almonds at $5.50 per pound. He wants to make a mixture of 50 pounds of mixed chocolates to sell at $4.71 per pound. The mixture is to contain as many pounds of dark chocolate with almonds as milk chocolate and dark chocolate combined. How many pounds of each type must he use in this mixture?
10 pounds of milk chocolate, 15 pounds of dark chocolate, and 25 pounds of almond chocolate.
We have,
A grocer sells milk chocolate at $2.60 per pound, dark chocolate at $4.80 per pound, and dark chocolate with almonds at $5.50 per pound.
Let x be the pounds of milk chocolate and y is the number of pounds of of dark chocolate.
So, x + y + (x+y)= 50
2(x+y)= 50
x+y = 25
x = 25 - y
Now, 2.6x + 4.8y + 5.5(x+y)= 50(4.71)
2.6x + 5.5x + 4.8y + 5.5y = 235.5
8.1x+ 10.3y = 235.5
8.1(25-y) + 10.3y = 235.5
202.5 - 8.1y + 10.3y = 235.5
2.2y = 33
y = 15
and, x = 10
Thus, 10 pounds of milk chocolate, 15 pounds of dark chocolate, and 25 pounds of almond chocolate.
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HELP!! ASAP!!!!!!!!!!!!!!!!!!!1
Answer:
No, No, Yes, Yes
Step-by-step explanation:
Answer:
No. What is wrong with you? I'm getting my points back this way.
1 2 3 4 5 6 7 8 9 0
1/2 of the people in the clinic are men, 1/3 are elderly, how many people are not elderly or men?
1/6 of the people are not elderly or men
How to determine the proportion?The given parameters are:
Men = 1/2
Elderly = 1/3
The number of people that are not elderly or men are:
People = 1 - Men - Elderly
So, we have:
People = 1 - 1/2 - 1/3
Evaluate
People = 1/6
Hence, 1/6 of the people are not elderly or men
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Help please asap no links please
So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.
What is triangle?A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.
Here,
To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.
Rotation:
To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).
Translation:
To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).
To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.
Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.
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In circle EE, the length of \overset{\LARGE\frown}{FG} = 4\pi
FG
⌢
=4π and m\angle FEG=80^\circ∠FEG=80
∘
. Find the area shaded below. Express your answer as a fraction times \piπ.
PLEASE HELP IM STUCK
Below are descriptions of two different objects that begin at rest and then now forces acting on them as described below.
Object 1: A skateboard with unbalanced forces
Object 2: A bicycle with balanced forces
Which statement is true about the objects?
Both objects are moving.
Both objects are not moving.
Object 1 is moving, and Object 2 is not moving.
Object 1 is not moving, and Object 2 is moving.
Answer: C: object 1 is moving, and object 2 is not moving
Step-by-step explanation since object one is on unbalanced forces, it can cause it to start moving (ex: a hill, if a skateboard is sitting on the top of a hill on unbalanced forces it will probably roll down.) but since object 2 is on balanced forces it wont start to move and/or roll forwards or anything like that.
The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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The area of the circular base of a cone is 16π cm², and the slant height of the cone is 4 times the radius of the cone.
What is the approximate lateral area of the cone?
The approximate lateral area of the cone is equal to 200.96 cm².
How to calculate the lateral area of the cone?Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:
Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)
Where
l represents the slant height of the cone.r represents the radius of the cone.h represents the height of the cone.How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area of a circular base = πr²
16π = πr²
Radius, r = √16
Radius, r = 4 cm.
Substituting the given parameters into the lateral area of a cone formula, we have the following;
Lateral surface area of a cone, LSA = πrl = πr4(r)
Lateral surface area of a cone, LSA = 3.14 × 4 × 16
Lateral surface area of a cone, LSA = 200.96 cm².
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Answer:
201 beause you are rounding to the nearest whole number
Step-by-step explanation:
A board game uses a spinner like one below, where 0, 1, 2, and 3 are all equally likely.Each turn, a player spins twice and subtracts the results of the spins. The game only looks at non-negativedifferences. For example, if a player spins a 1 and a 3, the difference is 2.Let X represent the difference in given turn.Which tables represents the theoretical probability distribution of X?Choose 1 answer:
The possible outcomes are:
0: 1-1, 2-2, 3-3, 4-4 => 4
1: |2-1|, |3-2|, |4-3|, |1-2|, |2-3|, |3-4| => 6
2: |3-1|, |4-2|, |1-3|, |2-4| => 4
3: |4-1|, |1-4| => 2
The total number of outcomes is 4+6+4+2 = 16. Then, the table that represents the theoretical distribution is:
Answer:
It should be B, the one that has 0,1,2,3 on the top.
Step-by-step explanation:
right on khan
Find the distance between (6, 0) and (10, 3).
a 5 units
b 20 units
C 50 units
d None of the above
does anyone know this? geometry help pls
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
evaluate the following expression when x=-5 and y=25 5|x|-y3 over x
Answer:
10
Step-by-step explanation:
This question is asking you for the value of the expression when you replace x and y with it's numerical values.
X is equivalent to -5 which means we can replace x with -5, same story with y but different number.
Now that you know this, you can put this into your calculator to spit out a result.
\(\frac{5|(-5)|-3(25)}{-5}=10\)
Answer:
3,120
Step-by-step explanation:
If P= {2, 3, 5, 7, 11, 13, 17, 19}, what is n(P)?
Answer:
Mark a s brainliest
Step-by-step explanation:
We are given the set:
P = {2, 3, 5, 7, 11, 13, 17, 19}
The n( ) function of a set is used to find out the number of elements in a set [also known as the cardinality of a set]
To find out the cardinality of a set, we usually count the number of terms in the set but keep in mind that ∅ (null) is an element of every set there is. So, the given set can be re-written as:
P = {∅, 2, 3, 5, 7, 11, 13, 17, 19}
From this, we can clearly see that there are 9 elements in this set
Therefore, the n(P) (cardinality) of this set is 9
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Solve for T: 10t-4x=3S Explanation plz
what is 1777771 plus 8999907
Answer: 10777678
ywyw
What is the value of x for the triangle shown to the right?
Answer:
x = 6.24
Step-by-step explanation:
x =
Tan32° = OPP/ADJ
Tan32° = x/10
0.624 = x/10
cross-multiply
x = 6.24
How much does 9.45 kg equal grams
Answer:
9.45 kg is 9450 grams.
Step-by-step explanation:
1 kg = 1000
9.45 x 1000 = 9450
Step-by-step explanation:
1kg =1000gram
9.45kg =9.45×1000
9450gramhope it helps.
Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
help pls ill give extra points
Answer:
I can’t see the pic
Step-by-step explanation:
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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Please help me with this question
Step-by-step explanation:
\( { ({y}^{2} )}^{4} . \: {( {y}^{3}) }^{2} \)
Since,
\( { ({a}^{x} )}^{y} = {a}^{xy} \)
Hence,
\( {y}^{2 \times 4} . {y}^{3 \times 2} \)
\( = {y}^{8} . {y}^{6} \)
Since,
\( {a}^{x} . {a}^{y} = {a}^{x + y} \)
Hence,
\( = {y}^{8 + 6} \)
\( = {y}^{14} (ans)\)
Met Manufacturing produces inexpensive sunglasses. The selling price per pair is $9.44, with variable costs per pair being $2.19. Fixed costs, which include paying off the plant, labor, insurance, marketing, and management, are $748,374. What is the break-even point?
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
Definitiοn οf a unitary methοd.The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.
Here,
We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.
Assume that X sunglasses must be sοld tο break even.
Fixed cοst plus variable cοst equals tοtal cοst.
Selling price x Number οf units sοld equals tοtal revenue.
The tοtal revenue and entire expense are equal at the break-even pοint.
Thus, we can cοnstruct the equatiοn:
Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.
=> $9.44 X = $748,374 + $2.19 X
=> $9.44 X - $2.19 X = $748,374
=> $7.25 X = $748,374
=> X = $748,374 / $7.25
=> X = 103,184
Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
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Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow?
Answer:
Hold
Step-by-step explanation:
Answer:
80% chance of picking the purple bow
Step-by-step explanation:
1 blue bows : 4 purple bows
4/5= .80 as a percent
.80= 80%
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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Kobe drinks 1/3 cups of juice each day. He has 2 1/3 cups of juice left. For how many days will it last?
Answer:
Our juices’ journey to your table starts on the thousands of acres of citrus farms dotting Western North America. The process begins when the fruit is harvested at its sweetest, then sent to our plant to be pressed and bottled. From the plant, our juice is sent to retailers throughout the West, including Ralph’s, Bristol Farms and Pavilions to name a few. This lateral integration gets the freshest, best tasting juices to our customers as quickly as possible, and makes Perricone Farms a true “Farm-Bottle-Table” company. You’ll taste the difference with every sip.
Which equation represents a horizontal line?
x=y+2
X-2
y = x+1
y=2
Answer:
y=2
Step-by-step explanation:
A horizontal line can be represented as y = a number.
Therefore D. y=2 is a horizontal line.