The measure of arc QS is (4x – 18)°. What is the value of x? 40. 5 49. 5 94. 5 180.
The measure of the value of x is 49.5 degrees, the correct option is B.
Given
The measure of arc QS is (4x – 18)°.
The measure of arcArc QS is a semicircle and hence subtended angle by semicircle at the center is 180 degrees.
The measure of the arc QS is (4x – 18)° is equal to 180 degrees.
Then,
The value of x is;
\(\rm 4x-18=180\\\\4x=180+18\\\\4x=198\\\\x=\dfrac{198}{4}\\\\x=49.5\)
Hence, the measure of the value of x is 49.5 degrees.
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Solve a system of equation by elimination
1. 4x+5=21 4x-2y=14
2. 5x+4y=45 -5x4y=35
3. 4x+3y=-10. -4x+y=-30
Answer:
1: (4,1) x=4 y=1
2: (1,10) x=1 y=10
3: (-25/4,5) x= -25/4 y=5
Step-by-step explanation:
It would be a lot to explain all three so if you really need it just ask
What is the volume of the rectangular prism? use the drop-down menus to show your answer. rectangular prism is 5 ft tall and with a base of 18 square ft. the volume of the rectangular prism is choose... choose... .
90 cubic feet is the volume of the rectangular prism.
What is rectangular prism?A polyhedron with two congruent and parallel bases is a rectangular prism.
It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism.
It is referred to as a prism because of the length of its cross-section. The study of shapes and the arrangement of objects is known as geometry.
The surface area and volume of a rectangular prism are similar to those of other three-dimensional forms.
Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces).
The prism's faces are all rectangular in shape. There are three sets of identical faces as a result.
According to our question-
V = Base x Height is the formula for a rectangle prism.
V = 18 x 5 square feet.
V = 90 cubic feet
Hence, 90 cubic feet is the volume of the rectangular prism.
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I need help pls !!!!
Answer:
what's the question
Step-by-step explanation:
I don't see a questions ton
How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide
Answer:
because since the question is 639 / 6
we immediately know that 600 / 6 is 100
639 / 6 = 106.5
Answer:
You just need a little conversion to get the answer.
\(\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100\)
ALLLL WORK PLEASEEEEE
2x=-14
Answer:
2x=-14
2x/2 -14/2
x=-7
Step-by-step explanation:
You divide the 2 on both sides, then you will get -7
Answer:
x = -7
Step-by-step explanation:
2x= -14
2/2= -14/2
x = -7
what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
Problem 3 (10 points) You are analyzing a dataset and have fit a multiple regression with 12 continuous explanatory variables and one intercept. You are given the following:
Sum of square of errors = 618
The 10th diagonal entry of the hat matrix: h10,10 = 0.35
The 10th residual value: e10 = 9.5
Cook’s Distance for 10th observation: D10 = 5.0
Calculate the number of data points this model was fit to.
Answer:
the answer is B
Step-by-step explanation:
are you a make a wish kid
Because i would love for you to bounce that
What is the sign of p
a
when p > 0 and a
р
0?
.
Answer:
positive sign
I hope it's helps you ❤️☺️
Does someone mind helping me with this. Thank you!
Answer:13
Step-by-step explanation:
y=kx
Substitute values
104=8k
Divide both sides by 8 to solve for k
k=13
Explain why any equation of the form y = —x + b is its own
inverse. Use both algebraic and graphic arguments.
Algebraic:
Swap x and y and then solve for y to get the inverse
y = -x+b
x = -y+b
x+y = b
y = -x+b
Therefore, the equation y = -x+b is its own inverse.
-------------------------
Graph:
Plot y = -x+b on the xy grid. Select whatever value you want for b. Let's say we go for b = 7. So we have y = -x+7 to plot. This line goes through (7,0) and (0,7) as the x and y intercepts respectively.
If we mirror this line over y = x, then points on y = -x+7 will end up somewhere else on this same exact line. The lines y = x and y = -x+7 are perpendicular. They intersect at a 90 degree angle.
This verifies that y = -x+7 is its own inverse, and by extension the same applies to y = -x+b where b is any real number.
See the image screenshot below. I used Desmos to graph it. GeoGebra is another useful tool I use all the time.
42 points giv away PLZ ANSWER RN (5/8+3/4) divided by (-2/3 - 5/6)
Answer:
when you divide you get -11/12
if you have a calculator you could add the 5/8 and 3/4
then add the -2/3 and the -5/6
then divide the first answer by the second answer
Answer:
\( \frac{( \frac{5}{8} + \frac{3}{4}) }{( - \frac{ 2}{3} - \frac{5}{6} )} \\ \\ \\ \frac{( \frac{5}{8} + \frac{6}{8}) }{( - \frac{4}{6} - \frac{5}{6} ) } \\ \\ \\ \frac{ (\frac{5 + 6}{8}) }{( \frac{ - 4 - 5}{6} )} = \frac{( \frac{11}{8} )}{( - \frac{9}{6} )} \\ \\ \\ \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ \\ \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ \\ = - \frac{11}{12} \\ \\ \\ = - 0.91666\)
I hope I helped you^_^
Simplify by combining like terms: -5m + 9 + 2m - 4
Given data:
The given expression is -5m + 9 + 2m - 4.
The given expression can be written as,
\(\begin{gathered} -5m+9+2m-4=(-5m+2m)+9-4 \\ =-3m+5 \end{gathered}\)Thus, the given expression can be written as -3m+5.
let h(x)=-1/3x+2. Find -4h(9)
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)
\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\(\qquad❖ \: \sf \:h(x) = - \cfrac{1}{3} x + 2\)
we need to find -4 h(9) :
\(\qquad❖ \: \sf \: - 4 \: h(9)\)
\(\qquad❖ \: \sf \: - 4 \bigg(- \dfrac{1}{3} \times 9 + 2 \bigg)\)
\(\qquad❖ \: \sf \: - 4( - 3 + 2)\)
\(\qquad❖ \: \sf \: - 4( - 1)\)
\(\qquad❖ \: \sf \:4\)
\( \qquad \large \sf {Conclusion} : \)
\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.
Correct question is;
Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost,
Where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
2x + 6y = 12
2(3) + 6y = 12
6 + 6y + 6 = 12 + 6
6y = 18
y = 3
which is the first error that tomas made?
A) tomas substituted the 3 for x when he should have substituted 6 for x.
B) tomas added 6 to both sides of the equation instead of subtracting 6.
C) tomas should have written the equation as 3x + 6y = 12.
D) tomas substituted 3 for x when he should have substituted 3 for y.
Answer:
Option B: tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation:
We are told that; x represents the number of pounds of granola while y represents the number of pounds of walnuts.
Now, we are told that He can spend a total of $12 on the ingredients. Also that he buys 3 pounds of granola that costs $2.00 per pound while the walnuts cost $6 per pound.
Thus;
2x + 6y = 12
He buys 3 pounds of granola. Thus;
2(3) + 6y = 12
6 + 6y = 12
The next step here is to subtract 6 from both sides but Tomas added 6 to both sides instead.
Thus, option B is the correct answer.
Answer:
its b
Step-by-step explanation:
of six dvd players, two are defective and four are not. if cecil randomly chooses two of these dvd players, without replacement, the probability that the two he chooses are not defective is , what is the value of ??
The probability of selecting two non-defective DVD players from a group of six is 2/5. This is based on the assumption that the selection is done without replacement.
We can use the formula for calculating probabilities of combinations:
P(not defective) = number of ways to choose 2 non-defective DVD players / total number of ways to choose 2 DVD players
Total number of ways to choose 2 DVD players out of 6 is:
C(6,2) = 6! / ([2!] [4!]) = 15
Number of ways to choose 2 non-defective DVD players out of 4 is:
C(4,2) = 4! / ([2!] [2!]) = 6
Therefore, the probability that Cecil chooses 2 non-defective DVD players is:
P(not defective) = 6/15 = 2/5
So the value of P(not defective) is 2/5.
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Which of the following is an infinite two-dimensional figure?A. A lineB. A planeC. A segmentD. A point
An infinite two-dimensional figure is represented by option B, a plane.
What are two-dimensional figures?
Two-dimensional figures are shapes with two dimensions: length and width.
They are commonly called flat shapes. When they are drawn on paper, they are two-dimensional shapes.
A two-dimensional figure is classified as a polygon if it has a closed shape with straight lines.
They may have any number of sides, such as a triangle, square, pentagon, or hexagon.
However, a plane is a flat surface that extends in all directions infinitely without ending. It is also called an infinite two-dimensional figure.A line is the shortest distance between two points, so it is not an infinite two-dimensional figure.
On the other hand, a segment is a line that has a beginning and an end, making it a finite one-dimensional figure.
A point is a location that has no size or shape, making it a zero-dimensional figure.
As a result, the only option that represents an infinite two-dimensional figure is a plane.
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10 Which shows the factored form of x2 - 12x - 45?
А
(x + 3)(x – 15)
B
(x - 3)(x - 15)
c
(x + 3)(x + 15)
(x - 3)(x + 15)
Answer:
The answer is (x+3)(x-15)
Twenty less than thrice a number is 223
\(~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}\)
1. Which description is most accurate for a Zero-Based Budget?a. You spend your checking account balance down to $0 every monthb. You put every dollar of your take-home pay into a budget category each monthC. You pay every one of your debts down to $0 every month
The description that most accurate for a Zero-Based Budget is:
b. You put every dollar of your take-home pay into a budget category each month.
Zero-Based Budget DescriptionA zero-based budget is a budgeting method in which your total income minus your total expenses equals zero. This means that every dollar of your income is assigned a specific purpose, either to be saved or spent on specific expenses. The goal of this method is to ensure that you have accounted for all of your income and that you do not have any leftover funds that are not allocated to a specific purpose. In this sense, option b, "You put every dollar of your take-home pay into a budget category each month" is the most accurate description of a zero-based budget.
A zero-based budget can be applied to any source of income, whether it be a salary, freelance work, rental income, or any other type of income. The key is to allocate every dollar of that income to a specific purpose, such as savings, expenses, or investments, to ensure that all of the income is accounted for. This budgeting method can help individuals and households to better manage their finances by ensuring that they are not overspending and that they have a plan for all of their income.
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-2(7 + y) ≥ -8(y + 1)
Answer: y ≤ -2.2
Step-by-step explanation:
Given expression
-2 (7 + y) ≥ 8 (y + 1)
Expand parentheses and apply the distributive property
-14 - 2y ≥ 8y + 8
Subtract 8y on both sides
-14 - 2y - 8y ≥ 8y + 8 - 8y
-14 - 10y ≥ 8
Add 14 on both sides
-14 - 10y + 14 ≥ 8 + 14
-10y ≥ 22
Divide -10 on both sides
(REMEMBER to change the [≤, ≥] signs when multiplying/subtracting a negative number)
-10y / -10 ≥ 22 / -10
\(\boxed{y\leq -2.2}\)
Hope this helps!! :)
Please let me know if you have any questions
What is an equation of the line that passes through the points (-6,3) and
(-6, -3)?
Answer: The equation: x=-6
Step-by-step explanation: Use desmos for graphing equations
Let n be the last digit of your register number. Consider the initial value problem y" + 4y = 4un (t), y(0) = 0, y'(0) = 1.
a. Find the Laplace transform of the solution y(t).
b. Find the solution y(t) by inverting the transform.
To solve the initial value problem y" + 4y = 4u_n(t), where y(0) = 0 and y'(0) = 1, we will follow these steps:
a. Find the Laplace transform of the solution y(t).
The Laplace transform of the given differential equation can be obtained using the properties of the Laplace transform. Taking the Laplace transform of both sides, we get:
s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 4U_n(s),
where Y(s) represents the Laplace transform of y(t) and U_n(s) is the Laplace transform of the unit step function u_n(t).
Since y(0) = 0 and y'(0) = 1, the equation becomes:
s^2Y(s) - s(0) - 1 + 4Y(s) = 4U_n(s),
s^2Y(s) + 4Y(s) - 1 = 4U_n(s).
Taking the inverse Laplace transform of both sides, we obtain the solution in the time domain:
y''(t) + 4y(t) = 4u_n(t).
b. Find the solution y(t) by inverting the transform.
To find the solution y(t) in the time domain, we need to solve the differential equation y''(t) + 4y(t) = 4u_n(t) with the initial conditions y(0) = 0 and y'(0) = 1.
The homogeneous solution to the differential equation is obtained by setting the right-hand side to zero:
y''(t) + 4y(t) = 0.
The characteristic equation is r^2 + 4 = 0, which has complex roots: r = ±2i.
The homogeneous solution is given by:
y_h(t) = c1cos(2t) + c2sin(2t),
where c1 and c2 are constants to be determined.
Next, we find the particular solution for the given right-hand side:
For t < n, u_n(t) = 0, and for t ≥ n, u_n(t) = 1.
For t < n, the particular solution is zero: y_p(t) = 0.
For t ≥ n, we need to find the particular solution satisfying y''(t) + 4y(t) = 4.
Since the right-hand side is a constant, we assume a constant particular solution: y_p(t) = A.
Plugging this into the differential equation, we get:
0 + 4A = 4,
A = 1.
Therefore, for t ≥ n, the particular solution is: y_p(t) = 1.
The general solution for t ≥ n is given by the sum of the homogeneous and particular solutions:
y(t) = y_h(t) + y_p(t)
y(t) = c1cos(2t) + c2sin(2t) + 1.
Using the initial conditions y(0) = 0 and y'(0) = 1, we can determine the values of c1 and c2:
y(0) = c1cos(0) + c2sin(0) + 1 = c1 + 1 = 0,
c1 = -1.
y'(t) = -2c1sin(2t) + 2c2cos(2t),
y'(0) = -2c1sin(0) + 2c2cos(0) = 2c2 = 1,
c2 = 1/2.
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Does the table below represent a function? Explain why or why not.
Answer:
No.
Step-by-step explanation:
An input can't have 2 outputs. But, an output can have an 2 inputs.
Hope this helped!
PLSSS I SHOULD KNOW HOW TO DO THIS BUT I DON'T so uh can someone help T-T
Answer:
dude, this is like middle school stuff, you can do this
Step-by-step explanation:
Solve for x. SHOW YOUR WORK
Answer:
-6
Step-by-step explanation:
Answer:
a) -6
Step-by-step explanation:
The given equation is,
→ (2x + 3)/2 = 3x/4
Let's solve the required value of x,
→ (2x + 3)/2 = 3x/4
→ 4(2x + 3) = 2 × 3x
→ 8x + 12 = 6x
→ 8x - 6x = -12
→ 2x = -12
→ x = -12/2
→ [ x = -6 ]
Hence, the value of x is -6.
3(x–6)–1/2(8x+10)=–25
The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.
To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.
First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:
3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)
Now, let's simplify further by combining like terms:
3x - 18 - 4x - 5 = -x - 23
So, the simplified equation is -x - 23 = -25.
To solve for x, we can isolate the variable by adding 23 to both sides of the equation:
-x - 23 + 23 = -25 + 23
This simplifies to:
-x = -2
Finally, we can solve for x by multiplying both sides of the equation by -1:
(-1)(-x) = (-1)(-2)
This gives us:
x = 2
Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.
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Which of these statements about multiple regression is best?
A) The p-value for the F-test may not be interpreted the same with multiple regression models as they are with simple linear models.
B) The multiple regression model includes several dependent variables.
C) The multiple regression model includes several intercept terms.
D) The multiple regression model includes multiple slope coefficients.
The twelve-inch square tiles are shipped in boxes of 20 pieces per box. Each of the boxes weighs 36 pounds. Approximately how many ounces does each tile weigh?
Each twelve-inch square tile weighs approximately 27 ounces.
To calculate the weight of each tile in ounces, we need to convert the weight of the box from pounds to ounces and divide it by the number of tiles in the box. Since there are 16 ounces in a pound, the weight of each box is 36 pounds * 16 ounces/pound = 576 ounces.
If there are 20 tiles in each box, we divide the weight of the box (576 ounces) by the number of tiles (20) to get the weight of each tile: 576 ounces / 20 tiles = 28.8 ounces. Rounding to the nearest ounce, each twelve-inch square tile weighs approximately 27 ounces.
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A gardener uses exactly 500 feet of fencing to completely enclose a rectangular
area in her backyard. If the width of her garden is 50 feet less than the length,
what will be the area of her garden?
Answer:
Step-by-step explanation:
Let's start by assigning variables to the dimensions of the rectangular garden.
Let L be the length and W be the width.
From the problem statement, we know that the width is 50 feet less than the length, so we can write:
W = L - 50
We also know that the perimeter of the garden is 500 feet, which means:
2L + 2W = 500
Substituting W with L - 50, we get:
2L + 2(L - 50) = 500
Simplifying this equation, we get:
4L - 100 = 500
Adding 100 to both sides:
4L = 600
Dividing both sides by 4:
L = 150
Now that we know the length, we can find the width:
W = L - 50 = 150 - 50 = 100
The area of the garden is:
A = L × W = 150 × 100 = 15,000 square feet.
Therefore, the area of the garden is 15,000 square feet.