y = 2.5x
I hope this helps
The required equation is y=2.5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Earning of app developer for 8 apps = $20.00
Earning of app developer for 1 app = $2.5
Earning of app developer for x app = $2.5x
Assume, earning of app developer for x app is y
So the equation,
Earning of app developer y=2.5x
The required equation is y=2.5x.
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60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
Consider the line plot below.
What is the median of the data?
What is the mean?
Find all the missing side lengths for the following triangles.
Answer:
Step-by-step explanation:
A) u = 4 v = 4/(sqrt)3
B) b = 5 c = 10
C) b = 2(sqrt)2 a = 4
D) m and n are both 7(sqrt)2/2
The missing side lengths for the three triangles are 10√3, 12, and 8. The first triangle is a 30-60-90 triangle, the second triangle is a 45-45-90 triangle, and the third triangle is a right triangle. The missing side lengths were found using the properties of special triangles and the Pythagorean Theorem.
Here are the missing side lengths for the following triangles:
Triangle 1:
The missing side length is 15.
The triangle is a 30-60-90 triangle, so the ratio of the side lengths is 1:√3:2. The hypotenuse of the triangle is 20, so the shorter leg is 10 and the longer leg is 10√3. The missing side length is the longer leg, so it is 10√3.
Triangle 2:
The missing side length is 12.
The triangle is a 45-45-90 triangle, so the ratio of the side lengths is 1:1:√2. The hypotenuse of the triangle is 12√2, so each of the legs is 12. The missing side length is one of the legs, so it is 12.
Triangle 3:
The missing side length is 8.
We can use the Pythagorean Theorem to find the missing side length. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is 10 and one of the other sides is 6. Let x be the missing side length.
\(10^{2}\) = \(6^{2}\) + \(x^{2}\)
100 = 36 +\(x^{2}\)
\(x^{2}\) = 64
x = 8
Therefore, the missing side length is 8.
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If x = 4 y =1 and z =2 find the value of 2x + y/ y + z
Answer:
11
Step-by-step explanation:
2(4) + 1/1 + 2 = 11
The value of 2x + y/ y + z is determined as 11 with respect to the value of x, y, and z.
What is the equation?A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
The information that is provided is :
x = 4
y =1 and
z =2
The equation that is provided is:
= 2x + y/ y + z
Entering the value of x, y and z in the above equation
2 * 4 + 1 / 1 + 2
= 8 +1 +2
= 11
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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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A box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant. What is the rate of change, in cm per minute, of the height when the height is 6 cm?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.
Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.
Therefore, we can write the volume of the box as
:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.
Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:
527 = constant × dh/dt
We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:
V = l × w × hV = 17 × 10 × hV = 170h
We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:
527 = constant × 6 cm
constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get
-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min
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What must the radius of C be for PR to be tangent to it at Q?
Answer:
D. 8
Step-by-step explanation:
Draw segment CQ which will be perpendicular to tangent PR.
So, triangle CQR will be right angled triangle right angle at Q.
Let radius of the circle be r.
Therefore,
CQ = CS = r
By Pythagoras Theorem:
\( {(r + 9)}^{2} = {r}^{2} + {15}^{2} \\ \\ {r}^{2} + 18r + 81 = {r}^{2} + 225 \\ \\ 18r = 225 - 81 \\ \\ 18r = 144 \\ \\ r = \frac{144}{18} \\ \\ r = 8\)
3.3(x + 1.2) = 40.26
can you please show me the break down?
Answer:
x = 11
Step-by-step explanation:
hope it helps ☺️
any questions? U can ask me
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 4cm per week. A random sample of 40 shrubs has an average growth of 1.50cm per week with a standard deviation of 5cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 4cm per week at a 0.200 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.
Answer:
Following are the answer to the given question:
Step-by-step explanation:
Following are the null and alternative Hypothesis:
\(Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4\)
Rejection Zone
This is left tailed test, for α = 0.2 and df = 39
\(critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851\)
Testing statistic:
\(t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}\)
\(= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162\)
\(P-value = 0.0015\)
P-value < 0.2, reject the null hypothesis.
Approach to the Rejection Zone:
The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.
Michelle is a dentist. One-third of her patients are under the age of 12. Five-twelfths of her patients are over the age of 65. What fraction of Michelle’s patients are 12 to 65 years old?
A: 1/6
B: 3/4
C: 3/5
D: 1/4
Simplifying this fraction gives us 1/4. The answer is (D) 1/4.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
Let's start by finding the fraction of Michelle's patients who are under 12 or over 65. We know that one-third of her patients are under 12, so two-thirds must be 12 or older. Similarly, five-twelfths of her patients are over 65, so seven-twelfths must be 65 or younger.
Now, we want to find the fraction of Michelle's patients who are between 12 and 65. To do this, we need to subtract the fraction of patients who are under 12 or over 65 from 1 (since these are the only two age groups we're considering).
Fraction of patients under 12: 1/3
Fraction of patients over 65: 5/12
Fraction of patients 12 to 65: 1 - 1/3 - 5/12
We can simplify this expression by finding a common denominator:
Fraction of patients 12 to 65: 12/12 - 4/12 - 5/12
Fraction of patients 12 to 65: 3/12
Simplifying this fraction gives us 1/4. Therefore, the answer is (D) 1/4.
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If PQ¯ is tangent to circle R at point Q, and PS¯ is tangent to ⊙R at point S, what is the perimeter of quadrilateral PQRS?
The perimeter of PQRS would depend on the lengths of the tangent segments and the lengths of the intercepted arcs. Without specific measurements, we cannot determine the precise perimeter.
To determine the perimeter of quadrilateral PQRS, we need more information about the lengths of the sides or the relationship between the sides and angles. Without specific measurements or additional details, we cannot calculate the exact perimeter of the quadrilateral.
However, we can provide some general information.Since PQ¯ is tangent to circle R at point Q, it is perpendicular to the radius drawn from the center of the circle to point Q. Similarly, PS¯ is tangent to circle R at point S, so it is perpendicular to the radius drawn to point S.
The quadrilateral PQRS is formed by the tangents PQ¯ and PS¯ along with the two arcs intercepted by these tangents on the circle R.
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Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer: b
Step-by-step explanation:
What is the answer of this
-5 3/4 - 3 1/2=
If the square below has an area of 50, what is the value of x
Answer:
10
Step-by-step explanation:
A= L²
50 = L² (do opposite operation to find L)
L = 7.07
x²= L²+ L²
x²= 7.07² + 7.07²
x² = 100 ( do opposite operation to make x the subject)
x = 10
Note: opposite operation of square is square root
) In a geometric progression, the sum of the first two terms is equal to 16. The sum to infinity is equal to 25. Find the possible values of the first term.
There are no possible real values for the first term 'a' that satisfy both equations.
Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.
The sum of the first two terms can be expressed as:
a + ar = 16
To find the sum to infinity, we can use the formula:
Sum to infinity = a / (1 - r)
Given that the sum to infinity is 25, we have:
25 = a / (1 - r)
We now have two equations:
a + ar = 16
a / (1 - r) = 25
We can solve these equations simultaneously to find the possible values of 'a'.
From the first equation, we can factor out 'a' to get:
a(1 + r) = 16
Dividing both sides of the second equation by 25, we have:
a / (1 - r) = 1
We can rearrange this equation to get:
a = 1 - r
Substituting this expression for 'a' in the first equation, we get:
(1 - r)(1 + r) = 16
Expanding the equation, we have:
1 - r^2 = 16
Rearranging the terms, we get:
r^2 = -15
Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.
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lukes house is located at the point shown on the coordinate grid. kyles house is located 4 units left and 2 units up from lukes house plot a point on the coordinate grid to represent the location of kyles house.
The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.
The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.
If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).
Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.
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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the
beginning despring, the ice starts to melt.
3
The variable s models the ice sheet's thickness (in meters) t weeks after the beginning of spring.
8 = -0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?
The sheet decreased by 1.5 meters and is now at 2.5 meters.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.
s = -0.25(6)+4
s = 2.5 meters
It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.
The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4
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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.
The variable s models the ice sheet's thickness (in meters) t
weeks after the beginning of spring.
s=−0.25t+4s=-0.25t+4
s=−0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
I need the anwser to this right now please
Answer:
b. 9
Step-by-step explanation:
2+9=11
11+11=22
22+6=28
A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers put an ad online asking for volunteers to participate in the study. One hundred subjects replied, and they were informed that one group would receive the new cream and the other group would receive a cream with no active ingredient. All 100 subjects were exposed to poison ivy. Fifty were then assigned to the group with the new cream, and 50 were assigned to the group with the cream with no active ingredient. After three days, the subjects’ level of irritation was measured.
Of the 50 subjects that were assigned to the cream with no active ingredient, 15 stated they had less irritation. What is this called?
placebo
control group
placebo effect
placebo control
Answer:
c
Step-by-step explanation:
The effect because of which 15 subjects stated that they had less irritation after having cream with no active ingredient is placebo effect.
What is placebo effect?The placebo effect occurs when a person's physical or mental health appears to improve after receiving a placebo or "dummy" treatment. injections, or even sham surgery.
The placebo effect is caused by an individual's belief in the benefits of the treatment and the expectation that it will make them feel better, rather than by the properties of the placebo.
Given,
50 subjects were assigned to the cream with no active ingredient, 15 stated they had less irritation.
The cream with no active ingredient is placebo, and this effect is called placebo effect.
Hence, 15 subjects stated that they had less irritation is a result of placebo effect.
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Solve.
x^2 - 9x + 3 = 0
x= or x=
Answer:
Step-by-step explanation:
x^2 - 9x + 3 = 0 is a quadratic whose coefficients are a = 1, b = -9 and c = 3.
Use the quadratic formula to solve it.
The discriminant, b^2 - 4ac, is 81 - 4(1)(3), or 81 - 12, or 69.
The roots are:
-b ± √(discriminant)
x = -------------------------------
2a
And these roots in this particular problem are:
-(-9) ± √69 9 ± √69
= ------------------------------- = ----------------
2(1) 2
HIRRY TIMED!!!!! 20 POINTS!!! PICTURE EXPLAINS IT ALL!!
Answer:
p = 7
Step-by-step explanation:
trust me
Answer:
p = 7
Step-by-step explanation:
Given value of q = 4 so,
5p - 11 = 6 × 4
=> 5p = 24 + 11
=> 5p = 35
\( = > p = \frac{35}{5} \)
=> p = 7(Ans)
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Pythagorean triples are given by these formulas:
(2²-37, 2zy, z²+37²)
The hypotenuse of a right triangle is 29. The lengths of the legs are whole numbers. List your answers in increasing
order.
The lengths of the two legs are
and
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
We have,
The formula given is incorrect.
The correct formula for Pythagorean triples with a given integer z is:
(z² - 1², 2z, z² + 1²)
Using this formula, we can find the two legs of the right triangle with hypotenuse 29 as follows:
z² + 1² = 29²
z² + 1 = 29²
z² = 29² - 1
z² = 840
z = √840
z = 28.98
Since z must be an integer, we can try integer values close to 28.98 to find one that works.
Trying z = 29,
a = z² - 1² = 840 - 1 = 839
b = 2z = 58
c = z² + 1² = 840 + 1 = 841
Therefore,
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
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Which shapes have at least 1 right angle choose ALL that are correct Iready -click to see the shapes-
Answer:
Square (top right), rectangle (middle bottom), and trapezoid (bottom right)
Step-by-step explanation:
The only one I'm not to sure about is the trapezoid, but you can rule out all the others because there is no right angle. Hope this helps!
The right angle is formed when two straight lines connect at 90° or are perpendicular at the intersection. The symbol for a right angle is L.
Right angle:A right-angle measures exactly 90° (or \(\frac{\pi}{2}\)).Squares, rectangles, right-angled triangles, and right trapeziums are common shapes that contain right angles. The angles of a rhombus and a kite do not always have right angles, although their diagonals always do. Right angles are frequently referred to as capital L forms.Therefore, the final answer is "Square (top right), rectangle (middle bottom), and trapezoid (bottom right)".
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity. This force in pounds is called grade resistance and is modeled by the equation below, where theta is the grade and W is the weight of the automobile.
F = Wsin theta
A 2710-lb car traveling uphill has a grade resistance of 160 lb. What is the angle of the grade?
theta =__.
(Type your answer in degrees. Round to the nearest hundredth as needed.)
Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:
F = Wsinθ
Where:
F represents the grade resistance or force in pounds.θ represents the grade W represents the weight of a physical object.Making theta (θ) the subject of formula, we have:
θ = sin⁻¹(F/W)
Substituting the given parameters into the formula, we have;
θ = sin⁻¹(160/2710)
θ = sin⁻¹(0.0590)
Theta, θ = 3.38 degrees.
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