Answer:
slope is -2
Step-by-step explanation:
use this formula
y2-y1 over x2-x1 in other words rise over run
Pls help and show workings
Option
A. 7
B. 10
C. 13
D. 22
Answer:
It would be C. 13
Step-by-step explanation:
if you line up the two lines of n and 13cm they aren't equal so I would have to say 13. sorry if I'm wrong
Write an inequality and show on a number line all numbers:from (–3) to 2 exclusive.
Answer:
\(-3 < x < 2\)
Step-by-step explanation:
Given:
Range: -3 to 2
Required:
- Write the inequality
- Represent on a number line
Let the variable be represented by x
The question says -3 and 2 are exclusive of x;
This implies that, -3 is less than x \((i.e.\ -3 < x)\) and at the same time x is less than 2 \((i.e.\ x < 2)\)
Write out the two inequalities
\(-3 < x\) and \(x < 2\)
Combine both inequalities
\(-3 < x < 2\)
See attachment for number line
Notice that the circle on -3 and 2 are opened
This implies that -3 and 2 are exclusive of the inequality;
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. which statements about the two rectangular solids are true? check all that apply.
The correct statements about the solids are:
(A) The bases are congruent.(D)The volume of the first solid is twice as much as the volume of the second solid.(E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.What are solids?Solid geometry or stereometry is the standard name for the geometry of three-dimensional Euclidean spaces in mathematics. Stereometry is concerned with the volume measurements of various solid forms, such as pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones, and balls bordered by spheres.To find which statements are correct:
Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.
The volume of the first triangle is: \(2x^{2} h\)
The volume of the second triangle is: \(x^{2} h\)
Therefore, the correct statements about the solids are:
(A) The bases are congruent.(D)The volume of the first solid is twice as much as the volume of the second solid.(E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.Know more about solids here:
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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.
A) The bases are congruent.
B) The solids are similar.
C) The ratio of the volumes of the first solid to the second solid is 8:1.
D)The volume of the first solid is twice as much as the volume of the second solid.
E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more
surface area than the second solid.
Quadrilateral abcd is a square and the length of bd¯¯¯¯¯ is 6 cm. what is the length of ae¯¯¯¯¯ ? enter your answer in the box. the length of ae¯¯¯¯¯ = cm
The length of AE is 3cm.
What is a quadrilateral square?
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
Here, we have
Given that
The diagonal BD of a square ABCD is 6 cm long and we are asked to find the length of AE.
We know that diagonals of a square are equal and bisect each other at right angles.
We can find the length of segment AE by dividing 6 cm by 2.
AE = 6/2
AE = 3cm
Hence, the length of AE is 3cm.
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2x
3x
(x + 12)
(2x + 4)
Sum of angle measures: 360
Answer:
the value of x is 43....
Pls only help if you know the correct answer! Thanks!! :))
Answer:
The answer is 19.95$
Step-by-step explanation:
With the price being 3.50 per gallon
and irene had filled her car with 5.7 gallons
5.7 + 3.50 = 19.95$
he defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3-sigma control chart limits are:
ucl = (enter your response as a number between 0 and 1, rounded to four decimal places).
The defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3-sigma The upper control limit (UCL) is approximately 0.0450.
The upper control limit (UCL) for a 3-sigma control chart is given by:
\(\[UCL\) = defect rate + 3 * sqrt((defect rate * (1 - defect rate)) / sample size)
Substituting the values, where the defect rate is 1.50% (0.015) and the sample size is 200, we get:
\(\[UCL = 0.015 + 3 \times \sqrt{\frac{0.015 \times (1 - 0.015)}{200}}\]\)
Calculating this expression, we find:
\(\[UCL \approx 0.0450\]\)
Therefore, the upper control limit (UCL) is approximately 0.0450.
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. The original quantity is 5 and the new quantity is 3. What is the percent change? Is it an increase or decrease? 3 S 01 7% 10 100% = p. = p The percent decrease is
Percentage decrease in original quantity to new quantity is - 40%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100, percentage means, a part per hundred. The word per cent means per 100
Given,
Original quantity = 5
New quantity = 3
Change in quantity = 3 - 5 = -2
Negative sign represents that it is decreased.
% decrease
= (change in quantity/original quantity)×100
=(-2/5)× 100
percent decrease = -40%
Hence, -40% is percentage decrease in the original quantity to new quantity.
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I need help with number 5
Answer:
as it goes to negative infinity, f(x) approaches -3
as it goes to positive infinity, f(x) approaches 3
horizontal asymptotes at -3 and 3
Step-by-step explanation:
by graphing you can see the limits & asymptotes. Also if you analyze the leading coefficient of the function, you can determine the behavior for very large inputs at x. Try plugging large numbers for x in a table and notice the values approach 3.
The table shows the number of points scored by a basketball team in their first seven games.
Answer:
15
Step-by-step explanation:
the range is the largest number take away the smallest number
56-41=15
Describe how to find the square of -12
Select all expressions that are equivalent to x2 - 4x - 32.
(x - 16)(x + 2)
(x + 2)(x - 16)
(x - 8)(x + 4)
(30+8)(x – 4)
(x + 4)(x - 8)
(x – 4)(x + 8)
Answer:
(x - 8)(x + 4)
(x + 4)(x - 8)
Step-by-step explanation:
(x - 16)(x + 2)
= x2 + 2x - 16x - 32
= x2 - 14x - 32
(x + 2)(x - 16)
= x2 - 16x + 2x - 32
= x2 - 14x - 32
(x - 8)(x + 4)
x - 8)(x + 4) = x2 + 4x - 8x - 32
x - 8)(x + 4) = x2 + 4x - 8x - 32 = x2 - 4x - 32
( 30 + x)(x - 4)
= 30x - 120 + x2 - 4x
= x2 + 26x - 120
(x + 4)(x - 8)
(x + 4)(x - 8) = x2 - 8x + 4x - 32
(x + 4)(x - 8) = x2 - 8x + 4x - 32 = x2 - 4x - 32
(x - 4)(x + 8)
= x2 + 8x - 4x - 32
= x2 + 4x - 32
What would 2300 divided by 330 times 3 epuals what ?
Answer: 23
Step-by-step explanation:
without using symmetry, determine a definite integral that represents the area of the region enclosed by r = 1 sin θ .
The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ
To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.
In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.
The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.
By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.
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PU
Decinal
Rounding
Round 2,384.653
to the nearest whole number.
Answer:
Given value = 2384.653
We are required to round off to the nearest whole number.
Step-by-step explanation:
To round the digit or number nearest whole number first see the digit or number at the first decimal place and tenth place value. If the value at the tenth place is 5 or more than 5 then the one place number will be increased by one. For example. 9.63 will be written as the 10 because after decimal the value is more than 5.
Similarly, the 2384.653 is written as 2385.
Which function has a range limited to only negative numbers?
Answer:
F(x)=-x^2
Step-by-step explanation:
The one example of function with range of only negative number is:
F(x)=-x^2
Why this? We know for every x, x^2 is positive. So -x^2 will be negative.
Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.
Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?
0 pounds
1/2 pounds
1 pound
Answer: Check explanation.
Step-by-step explanation: I think its 0. Not sure. Hope this helped!
The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number
Find all the real solutions of x3 + x² – 17x + 15 = 0,
Answer:
x=−5 and x=3
Step-by-step explanation:
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2540 ft Determine the flag's width and length if the length is 290 ft greater than the width.
The width of the floral mosaic flag is 625 ft, and the length is 915 ft. The flag's perimeter is 2540 ft. Let's assume the width of the flag is x ft.
According to the problem, the length is 290 ft greater than the width, so the length would be x + 290 ft. The perimeter of a rectangle is given by the formula P = 2(length + width), which in this case becomes
2540 ft = 2(x + x + 290).
Simplifying the equation, we have 2540 ft = 4x + 580 ft. By rearranging and isolating x, we get 4x = 2540 ft - 580 ft, resulting in 4x = 1960 ft. Dividing both sides by 4, we find x = 490 ft. Therefore, the width of the flag is 490 ft, and the length is x + 290 ft, which is 490 ft + 290 ft = 780 ft. Thus, the floral mosaic flag has a width of 625 ft (490 ft x 2) and a length of 915 ft (780 ft + 290 ft).
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Find the rate of change of y with respect to x if dy dx x²y-5+2 ln y = x³
The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.
To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.
First, let's differentiate each term separately using the rules of differentiation.
Differentiating x²y with respect to x gives us 2xy using the product rule.
To differentiate 5, we know that a constant has a derivative of 0.
Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.
Differentiating x³ gives us 3x² using the power rule.
Now, we can rewrite the equation with its derivatives:
2xy - 2/y * dy/dx = 3x²
To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:
2xy = 2/y * dy/dx + 3x²
To isolate dy/dx, we move the term 2/y * dy/dx to the other side:
2xy - 2/y * dy/dx = 3x²
2xy = 2/y * dy/dx + 3x²
2/y * dy/dx = 2xy - 3x²
Now, we can solve for dy/dx by multiplying both sides by y/2:
dy/dx = (2xy - 3x²) * (y/2)
Simplifying further, we have:
dy/dx = xy - (3/2)x²y
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Given the following historical demand, what is the exponential Smoothing Forecast (Smoothing Constant Alpha=0.5) for Week 4, given that the Forecast in Week 1 - 1100? Week 1 = 1000 Week 2 = 1200 Week 3 1400 Week 4 = Predict using the Exponential Smoothing Forecast (Smoothing Constant Alpha=0.5)
Exponential Smoothing
F(t+1) = ????Dt + (1- ????)Ft
where : F(t+1) : forecast time period t+1 (i.e the new forecast)
Ft : Forecast for time period t (i.e the current forecast)
Dt : actual value for time period t
???? : smoothing constant used to weight Dt and Ft (0 <= alpha <= 1)
A. 2100
B. 2162.5
C.1262.5 D.1600.0 E.1500.0
In reference to data given in question, the exponential smoothing forecast for Week 4 with a smoothing constant alpha of 0.5 is 1262.5
Calculating Exponential Smoothing Forecast with Given Historical Demand and Smoothing ConstantExponential smoothing is a popular forecasting method that assigns exponentially decreasing weights to the past observations while placing greater emphasis on more recent observations. It is a simple and effective method to forecast time series data, and is widely used in various industries.
The formula for exponential smoothing is as follows:
F(t+1) = αDt + (1 - α)Ft
where:
F(t+1) is the forecast for the next period,
Ft is the forecast for the current period,
Dt is the actual demand for the current period, and
α is the smoothing constant or the weight given to the most recent observation.
In this case, we are given the actual demand for the first three weeks (i.e., Dt for weeks 1 to 3) and the forecast for the first week (i.e., Ft for week 1). Using a smoothing constant of 0.5, we can calculate the forecast for each week as follows:
F(1) = 1100 (given)
F(2) = 0.5(1000) + 0.5(1100) = 1050
F(3) = 0.5(1200) + 0.5(1050) = 1125
F(4) = 0.5(1400) + 0.5(1125) = 1262.5
Therefore, the exponential smoothing forecast for Week 4 with a smoothing constant alpha of 0.5 is 1262.5, which is option C
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Pls give simple working out
Answer:
x = 33
Step-by-step explanation:
∡ CBE = ∡DBA = 57°
The sum of the interior angles of a triangle results 180°
∡BDA = it´s a right angle = 90°
Then:
57° + 90° + x = 180°
147° + x = 180°
x = 180° - 147°
x = 33°
Guys please solve the problem.
Answer:
\(y=-\frac{2}{3} +4\)
Step-by-step explanation:
2x + 3y = 12
subtract 2x from both sides
3y = -2x + 12
divide both sides by 3
y = -2/3x + 4
Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth.
A) 53.05 in3
B) 104.72 in3
C) 392.70 in3
D) 523.60 in3
Answer:
D
Step-by-step explanation:
it's D I don't have a full step by step
Use the diagram to answer the question
Step-by-step explanation:
cos(a) = 1/2 or 0.5
that means a = 60°
the cosine value is the x coordinate, the sine value the y coordinate.
so, only an answer with 1/2 as x coordinate can be right.
and therefore, the 4th answer (bottom right) is correct.
Josh says that (4)(-7)(-1) is equal to (4)(7). Evangelina says (4)(-7)(-1) is
equal to (-28)(-1). Who is correct? *
O Josh
O Evangelina
O Both
O No one
Answer:
Evangelina and Josh can be considered correct but this can be simplified to just 28. so if you want the simplification of this problem it would be no one but both are correct if you just want to see if they equal the same answer
Step-by-step explanation:
they are correct because they could simplify it
Evangelina and Josh can be considered correct but this can be simplified to 28.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
Given that Josh says that (4)(-7)(-1) is equal to (4)(7).
Evangelina says (4)(-7)(-1) is equal to (-28)(-1).
(4)(-7)(-1) = (4)(7) =28
Similalray;
(-28)(-1) = 28
We can see that the answer of the both the simplification are correct.
Evangelina and Josh can be considered correct but this can be simplified to 28.
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Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.
Answer: 145
Step-by-step explanation: I say this because it has 14. 4 then
The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?.
Answer:
$25
Step-by-step explanation:
Let the cost of a canoe be \(c\) and the cost of a tube be \(t\).
\(2c+3t=80 \\ \\ c+7t=95 \implies 2c+14t=190 \\ \\ \therefore (2c+14t)-(2c+3t)=190-80 \implies t=10 \\ \\ \therefore 2c+3(10)=80 \implies c=25\)
what is the working for -(-6)
\(\longrightarrow{\green{6}}\)
\(\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}\)
\( \: - ( - 6)\)
Removing parentheses. we have
➼ \( \: 6\)
...................................................Note:-\(\sf\red{PEMDAS\: rule.}\)
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
And,
\(\sf\purple{(-)\:x\:(-)\:=\:+}\)
...................................................\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)