The three statements that are true about the lines are: Line WZ has the same slope as line XY. Line YX has a greater slope than line ZY, and Line XW has a lesser slope than line YZ.
What is slope-intercept form?A linear equation has the form y = mx + b, where m is the slope of the line and b is the y-intercept, or the y-coordinate of the line's intersection with the y-axis. The slope measures how steep a line is, or how quickly the y-coordinate changes for every unit change in the x-coordinate. A line has a positive slope if it is moving upward from left to right, and a negative slope if it is moving downward. The line's intersection point with the y-axis, or the value of y when x is equal to 0, is known as the y-intercept.
Because both lines travel through the same point (0, -3) and have a slope of 1/3, line WZ and line XY have the same slope.
Given that both lines pass through the same point (3, 0), line YX has a bigger slope than line ZY.
Because line XW passes through points (-4, 1) and (3, 3), which have a little change in y over a large change in x, as opposed to line YZ, which passes through points (0, -3) and (3, 0), which have a large change in y over a small change in x, line XW has a lower slope than line YZ.
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Answer:
A. B. C.
Step-by-step explanation:
Al has a goal to read 2,000 pages over
summer break. He has read 1,248 pages.
How many more pages does Al need to
read to reach his goal?
Al needs to read 752 more pages to reach his goal of 2,000 pages.
What is subtraction?The act of deleting items from a collection is represented by subtraction. Subtraction is denoted by the minus sign.
To find out how many more pages Al needs to read to reach his goal of 2,000 pages, we can subtract the number of pages he has already read from his goal:
Number of pages Al needs to read = Goal - Pages already read
Number of pages Al needs to read = 2,000 - 1,248
Number of pages Al needs to read = 752
Therefore, Al needs to read 752 more pages to reach his goal of 2,000 pages.
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Find each angle and arc measures.
mPQ= degrees
mSR= degrees
mQRT= degrees
mPSR = degrees
mPS= degrees
(40 points) will give brainiest for effort
The measures of the arcs on the circle are;
mPQ = 71°
mSR = 161°
mQRT = 119°
mPSR = 270°
mPS = 109°
What is an arc of a circle?An arc is a part of the circumference of a circle.
The vertical angles theorem indicates that we get;
m∠QUR = m∠TUS = 19°
∠PUQ and ∠QUR are complementary angles (Specified angle of ∠PUR)
∠PUQ + ∠QUR = 90°
m∠PUQ = 90° - m∠QUR
m∠PUQ = 90° - 19° = 71°
The measure of arcPQ = m∠PUQ = 71°
Therefore, mPQ = 71°
∠SUR and ∠QUR are supplementary angles (Definition of linear pair angles)
Therefore; m∠SUR + m∠QUR = 180°
m∠SUR = 180° - 19° = 161°
mSR = m∠SUR = 161°
mQRT = m∠QUS + m∠TUS
m∠QUS = 180°, therefore;
mQRT = 180° + 19° = 199°
mQRT = 199°
mPSR = 360° - m∠PUR (Sum of angle at the the center of a circle)
mPSR = 360° - 90° = 270°
mPS = m∠TUS + m∠PUT
m∠PUT and m∠PUR are linear pair angles,m∠PUR = 90°, therefore;
m∠PUT = 90°
mPS = 19° + 90° = 109°
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Calculate employer's total FUTA and SUTA tax. As TCLH Industries operates in North Carolina, assume a SUTA tax rate of 1.2% and a taxable earnings threshold of $26,000. Current period taxable earnings for FUTA and SUTA taxes are the same as those for FICA taxes. Year-to-date taxable earnings for FUTA and SUTA taxes, prior to the current pay period, are as follows: Zachary Fox: $0 Calvin Bell: $20,478.57 David Alexander: $198,450 Michael Sierra: $117,600
the employer's total FUTA and SUTA tax is: $2,928
What is tax rate?
The percentage of income that a person or corporation must pay or withhold as taxes is known as the effective tax rate.
$7,000 (for Zachary Fox) + $7,000 (for Calvin Bell) + $7,000 (for David Alexander) + $7,000 (for Michael Sierra) = $28,000
The FUTA tax for this amount is:
$28,000 × 6.0% = $1,680
Therefore, the total taxable earnings subject to SUTA tax is:
$26,000 (for each employee) × 4 (number of employees) = $104,000
The SUTA tax for this amount is:
$104,000 × 1.2% = $1,248
The year-to-date FUTA and SUTA taxes are not given explicitly, so we cannot calculate the current period FUTA and SUTA taxes.
Therefore, the employer's total FUTA and SUTA tax is:
$1,680 (FUTA tax) + $1,248 (SUTA tax) = $2,928
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Determine which relation is a function.
A: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)}
B: {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)}
C: {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)}
D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
The relation that is a function is D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}.
What is a relation?A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, for a relation to be a function, each input can only be related to one output.
In relation D, each input (x-value) has a unique output (y-value), meaning that each x-value is only paired with one y-value. In contrast, relations A, B, and C have repeated x-values with different y-values, which means that they are not functions.
In relation A, the input -1 is paired with two different outputs (2 and 3). In relation B, both inputs 0 and -1 are each paired with two different outputs. In relation C, both inputs 0 and -3 are each paired with two different outputs. Therefore, only relation D satisfies the definition of a function.
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First 5 terms 3 8 13 18 23 explain why 387 is not a term of the sequence
Answer:
I believe it’s because they were adding by 5 with each number in the sequence.
Step-by-step explanation:
if you take 3+_= 8 what goes in the missing spot? 5 would, so we look at the next number and see if it’s a pattern. 13 so 8+_= 13 we know that’s 5 as well. So there’s a pattern of +5 hence why 7 is not part of the sequence.
On the Y axis we have the profit from the trucking company and on the X axis we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?
A. Y intercept will be less and X will be less
B. Y intercept will be less and X intercept will be greater
C. Y intercept will be greater and X will be greater
D. Y intercept will be greater and X will be less
The correct answer will be option D. Y intercept will be greater and X will be less.
What is a coordinate system?A "coordinate system" is a mathematical framework that uses a set of coordinates to identify points in space or on a surface. It describes the location of a point in relation to a reference point or origin, often using numerical values. A coordinate system is made up of one or more axes, which are imaginary lines that cross at the origin, and units of measurement that run along each axis.
When the trucking firm starts paying a driver 0.25 cents per mile, it raises their operational expenditures, which has a direct influence on their profit (Y-axis). As a result, the Y-intercept (the point at which the profit crosses the Y-axis) will be larger since the company's costs will be bigger.
The X-axis, on the other side, displays the distance travelled by the vehicle. Because the corporation is now paying for a driver, it may decide to decrease the amount of kilometres the truck goes to save money. This indicates that the X-axis will be shorter, suggesting that the truck will drive fewer miles than previously.
As a result of the modification, the Y-intercept will be higher (showing higher costs) and the X-axis will be lower (meaning less kilometres travelled).
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write as a product y^3-y^5
Answer: y^3/5
Step-by-step explanation:
Answer:
We can factor out a y^3 term from the expression y^3 - y^5:
y^3 - y^5 = y^3(1 - y^2)
So, y^3 - y^5 can be written as the product y^3(1 - y^2).
A satellite calculates the distances and angle shown in the figure below (not to scale).Find the distance between the two cities. Round to the nearest tenth.
The distance between city A and city B is approximately 442.3 km.
What is the law of cosine?
The Law of Cosines, also known as the Cosine Rule, is a mathematical formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. Specifically, it states that:
c² = a² + b² - 2ab cos(C).
We can use the Law of Cosines to find the distance between City A and City B. Let's call this distance d.
From the information given, we know that:
The distance between the satellite and city A is 450 km.
The distance between the satellite and city B is 340 km.
The angle between city A, the satellite, and city B is 1.5 degrees.
Using the Law of Cosines, we have:
d² = 450² + 340² - 2(450)(340)cos(1.5)
d² = 202500 + 115600 - 2(450)(340)cos(1.5)
d² = 318100 - 122328.8
d² = 195771.2
d = √195771.2
d ≈ 442.3
Therefore, the distance between city A and city B is approximately 442.3 km (rounded to the nearest tenth).
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A certain test has a population mean (mu) of
285 with a population standard deviation
(sigma) or 125. You take an SRS of size 400
find that the sample mean (x-bar) is 288. The
sampling distribution of x-bar is approximately
Normal with mean:
Answer:
124
Step-by-step explanation:
You'll need a calculator for this one
find the missing terms 82,81,78,-,66,-
5,6,8,-,15,-
Let L1 = {a, b, ab} and L2 = {λ, bb, ab} be languages over Σ = {a, b}. Write down the
elements of each of the following sets:
The answers below provides the elements of the sets L1 ∪ L2, L1 ∩ L2, L1 concatenation L2, L1*, and L2* where L1 and L2 are languages over Σ = {a, b}.
What are the elements of the following sets?a) L1 ∪ L2:
The union of two sets is the set of all elements that are in either set. Therefore,
L1 ∪ L2 = {a, b, ab, λ, bb}
b) L1 ∩ L2:
The intersection of two sets is the set of all elements that are in both sets. Therefore,
L1 ∩ L2 = {ab}
c) L1 concatenation L2:
The concatenation of two languages is the set of all possible combinations of elements where the first element comes from the first language and the second element comes from the second language. Therefore,
L1 concatenation L2 = {aλ, a bb, aab, bλ, bbb, bab, abλ, abb, abab}
d) L1*:
L1* is the Kleene star of L1, which is the set of all possible combinations of elements from L1, including the empty string λ. Therefore,
L1* = {λ, a, b, ab, aa, bb, aaa, aab, abb, bbb, aaaa, aaab, aabb, abbb, ...}
e) L2*:
Similarly,
L2* = {λ, bb, ab, bbbb, abb, aabb, abbb, aabbb, ...}
Note that the Kleene star of L2 includes only elements made up of b's and λ.
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how do i solve this Please give me a advise
The probability of spinning an even number, flipping tails, then spinning an odd number is:
1/9 (as fraction) or 11.11% (as percent)
How to find the probability of spinning an even number, flipping tails, then spinning an odd number?
To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:
We have only one even number in the spinner, and that is 2. Thus,
P(even number) = 1/3
For a coin, the probability of head or tail is 1/2. Thus,
P(tail) = 1/2
We have two odd number in the spinner, and that is 1 and 3. Thus,
P(odd number) = 2/3
Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:
P(even, tail, odd) = 1/3 * 1/2 * 2/3
= 2/18
= 1/9 (as fraction)
In percent:
P(even, tail, odd) = 1/9 * 100
= 11.11%
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BELLRINGER:
In the function below, b is a constant. If f (2) = 0, what is the value of f(-1)?
f(x)=3/2 x + b
Answer:
-9/2
Step-by-step explanation:
f(x) = 3/2x + b
f(2) = 0
Find out what the variable b is.
3/2(2) + b = 0
3 + b = 0
Subtract 3 from both sides.
b = -3
f(-1) = 3/2(-1) - 3
f(-1) = -4.5
-4.5 = -9/2
a camel can drink 15 gallons of water in 10 minutes. at this rate, how much water can the camel drink in 5 minutes?
In 5 minutes, the camel can drink = 1.5 x 5 = 7.5 gallons of water.
So, the camel can drink 7.5 gallons of water in 5 minutes.
What is unitary method?The unitary method is a mathematical technique used to solve problems related to proportionality.
It involves finding the value of a single unit and using it to determine the value of a given quantity or multiple quantities.
The unitary method is useful in solving problems that involve direct proportion or inverse proportion.
To find out how much water the camel can drink in 5 minutes, we can use the unitary method.
We know that the camel can drink 15 gallons of water in 10 minutes.
So, in 1 minute, the camel can drink = 15/10 = 1.5 gallons of water.
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. A square has its length increased by 6 feet and its width decreased by 4 feet, the resulting area 119
square feet. What was the area of the original square?
Answer:
oh
Step-by-step explanation:
idrk i just searched it up
17.) A fan has 4 settings marked 0,1,2,3. On the '1' setting, it rotates 100 times in one minute. The rate of rotation doubles on the '2' setting, and again doubles on the '3' setting. How many times will the fan rotate in 15 minutes on the '3' setting? A. 1500B. 3000 C. 4500 D. 6000 100 tho 212
Step-by-step explanation:
Setting 1 = 100 rpm
Setting 2 = 200 rpm
Setting 3 = 400 rpm
400 rotations each minute for 15 minutes = 400 * 15 = 6000 rotations
Determine the scale factor used to create the image. one half 2 one fourth 2.5
Answer:
What is a Scale Factor?The scale factor is the ratio of the corresponding side lengths in the original figure and the image.
If the image was created by reducing the size of the original figure, then the scale factor is less than 1.
If the image was created by enlarging the size of the original figure, then the scale factor is greater than 1.
The given options for the scale factor are "one half" and "two fourths".
"One half" is equivalent to 0.5.
"Two fourths" is equivalent to 0.5 as well (since 2/4 can be simplified to 1/2, which is 0.5).
Therefore, the scale factor used to create the image is 0.5 or one half, which suggests that the image was created by reducing the size of the original figure by a factor of 0.5.
A student attempted to solve the system 5x + 2y = 10 and 10x + 2y = 1 by graphing. The graph and the conclusion are
below. What can you say about the student's work?
y
-10x + 2y = 1
5x + 2y = 10
The soluion is ().
O The solution is incorrect because the student did not correctly identify the intersection.
O The solution is correct and the lines are graphed correctly.
O The solution is correct, but the lines were graphed incorrectly.
O The solution is incorrect because the lines are not graphed correctly.
Answer:
Option A: The solution is incorrect because the student did not correctly identify the intersection.
Step-by-step explanation:
Solve by elimination method.
5x + 2y = 10; -10x + 2y = 1
Multiply the second equation by -1, then add the equations together.
(5x + 2y = 10)
-1 (-10x + 2y = 1)
Forms:
5x + 2y = 10
10x - 2y = -1
Add these equations to eliminate y.
15x = 9
Then solve 15x = 9 for x:
15x = 9
15/15 = 9/15 (Divide both sides by 15)
x = 3/5
Now that we've found x let's plug it back in to solve for y.
Write down the original equation:
5x + 2y = 10
Substitute 3/5 for x in:
5x + 2y = 10:
5(3/4)+2y=10
2y+3=10
2y+3-3=10+-3
2y=7
2y/2 = 7/2
y = 7/2
x = 3/5 and y = 7/2.
Comparing the identified answers to the one found by the students, it can be concluded that Option A: The solution is incorrect because the student did not correctly identify the intersection.
Calculate the volume of a sphere with a diameter of 4.
Answer: 33.51 cubic units.
Step-by-step explanation: The equation for the volume of a circle is:
V = (4/3)πr³
where r is the sweep of the circle.
Since the distance across of the circle is given as 4, we are able discover the span by partitioning the distance across by 2:
r = d/2 = 4/2 = 2
Presently we are able plug within the esteem of the sweep into the equation for the volume:
V = (4/3)π(2³) = (4/3)π(8) = 32/3π
Answer: 33.51
Step-by-step explanation:
The formula is 4/3 pi r^3. The radius is 2. If you do the equation, you get roughly 33.51.
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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Expand the expressions and simplify 5(x + 4) + 3(x + 2) =
8x + 4
6x + 18
8x+ 26
7x - 18
Answer:
8x+26
Step-by-step explanation:
distribute the 5 into the numbers in the parentheses. you get (5x+20) then do the same with 3(x+2) which wll be (3x+6) now add like terms, which are 5x+3x=8x and 20+6=26. boom 8x+26.
8x + 26
multiply the outside number by the inside numbers and add them. remember, if the variable is singular example x, then it equals 1 :) I hope this helps you understand, I'm currently doing algebraic expressions.
The length of a side of an equilateral triangle is 14 centimeters.
What is the length of the altitude of the triangle?
2√ 7cm
3√ 7 cm
7√ 2 cm
7√ 3 cm
Answer: The altitude of the triangle is [tex]h = 7 \sqrt{3}.[/tex]
Step-by-step explanation:
Suppose that we separate the equilateral triangle with the altitude of the triangle, as shown in the diagram I attached.
Then the length of the altitude [tex]h[/tex] can be found through the Pythagorean theorem:
[tex]h = \sqrt{14^2-\left( \frac{14}{2} \right)^2} = \sqrt{147} = \boxed{7 \sqrt{3}}.[/tex]
Therefore, the altitude of the equilateral triangle is [tex]h = 7 \sqrt{3}.[/tex]
Divide and give your answer as a decimal. Round your answer to the nearest thousandth (3 digits behind the decimal).
2/9
Answer:
0.222
Step-by-step explanation:
2 divided by 9 is:
0.222 (rounded to the nearest thousandth)
Find the surface area of each of the figures shown.
The surface area of the triangular prism with rectangular base is 736 cm².
What is surface area?Surface area refers to the total area that the surface of an object covers. It is a measure of how much exposed area there is on the outside of an object. The surface area of an object is usually expressed in square units, such as square meters, square centimeters, or square feet.
Here,
The formula for the surface area of a triangular prism with rectangular base is:
SA = 2lw + lh + wh
where l is the length of the rectangular base, w is the width of the rectangular base, h is the height of the triangular prism.
Given:
Side of triangle = 16 cm and 12 cm
Side of rectangle = 20 cm and 10 cm
Since we are not given the height of the triangular prism, we cannot calculate the exact surface area. However, we can give a general formula for the surface area in terms of the height h:
SA = 2(20)(10) + (16)(h) + (12)(h)
SA = 400 + 28h
So the surface area of the triangular prism with rectangular base is 400 + 28h, where h is the height of the triangular prism in cm.
h=12 cm
400+28h=400+28*12
=736 cm²
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please help me fill these boxes
The measurements for area of Jacobs yard are;
Part A = 6m x 3m = 18m
Part B = 4.5m x 3m = 13 m
Part C = 1/2 x 3m x 3m = 4.5 m²
Total area = 18m² + 13.5m² + 4.5m² = 36m²
How do you identify sections that would help in calculating area?To identify sections that would help in calculating area, you need to look for shapes or figures that can be divided into simpler geometric shapes, such as squares, rectangles, triangles, and circles.
Once you have identified the simpler shapes, you can use their formulas to calculate their areas and then add them together to find the total area of the larger shape or figure.
For example, a rectangle can be divided into two triangles or two smaller rectangles, and a circle can be divided into a sector or a ring. Breaking down a larger shape into smaller, simpler shapes can make it easier to calculate their areas accurately.
Jacob is putting tiles on the section of his yard labeled A, B, C. What is the area of the parts that need tiles?
Part A = .............. x ........... = ...........m
Part B = + .............. x ............. = ............ m
Part C = 1/2 x ................. x ............ = ............... m²
Total area = ................... + ..................... + .................. = ..............m
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The ratio of two areas of the circles A and B is 4, what is the ratio of the radii of A and B
The calculated value of the ratio of the radii of A and B is 2.
Calculating the ratio of the radii of A and BThe ratio of the areas of two circles A and B is equal to the square of the ratio of their radii.
Therefore, if the ratio of the areas of A and B is 4, then the ratio of the radii of A and B is the square root of 4, which is 2.
In other words, if the radius of circle A is rA and the radius of circle B is rB, then:
Area of A / Area of B = (rA)^2 / (rB)^2 = 4
Taking the square root of both sides, we get:
rA / rB = 2
So, the ratio of the radii of A and B is 2.
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Learn with an example
Submit
or Watch
Evaluate the expression.
0.33 x 7
Write your answer as an integer or a decimal. Do not round.
Work it out
Not feeling ready yet? These
Answer:
The answer is 0.777
Step-by-step explanation:
0.3÷3×7
0.3=1/3
=1/3×1/3×7
=7/9
=0.777
If P(x,y) is the point on the unit circle defined by real number 8, then cscg =
OA.
OB.
y
B. 1
O C.
-|X
y
OD. V
X
The value of Cscθ is 1/y.
What is a trigonometric function?
The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
Given: if p(x,y) is the point on the unit circle defined by the real number theta.
We have to find the value of the csc theta.
P(x,y) is the point on the unit circle (the unit circle has a radius of 1 and center (0,0))
Now in a diagram, we can see that
OA= x
AP= y
radius OP =1
∠POA =θ
Now in ΔAOP
Cscθ = hypotenuse/opposite side
Cscθ = OP/AP
Cscθ = 1/y
Hence, the value of Cscθ is 1/y.
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find the smallest number that is a multiple off all 2,3,4,5,6,8 and 9
2. Kurt designs a square flower garden that has the same area as a rectangular one. The length of the rectangular
garden is 10 feet longer than the side of the square garden. The width of the rectangular garden is 5 feet shorter
than the side of the square. Find the side length of the rectangular garden.
low
The side length of the the rectangular garden are 20 feet by 5 feet.
Calculating the size of a Rectangular GardenLet
s = side length of the square garden
l = length of the rectangular garden
w = width of the rectangular garden
From the problem statement,
area of the square garden = area of the rectangular garden
Since the area of a square is just the side length squared, we can write:
s² = l * w
We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:
l = s + 10
w = s - 5
Now we can substitute these expressions for l and w into our first equation:
s² = (s + 10) * (s - 5)
Expanding the right-hand side, we get:
s² = s² + 5s - 50
0 = 5s - 50
5s = 50
Dividing both sides by 5, we get:
s = 10
Since the side length of the square garden is 10 feet.
We can use this to find the dimensions of the rectangular garden:
l = s + 10 = 10 + 10 = 20
w = s - 5 = 10 - 5 = 5
So the dimensions of the rectangular garden are 20 feet by 5 feet.
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