Answer:
A. 62%
Step-by-step explanation:
64.50x = 40
x = 0.62015 or 62%
This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.
Solve the problem below:
(-10)+13-2=?
Answer:
1
Step-by-step explanation:
(-10)+13-2
-10+13-2
3-2
1
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Please find the attached photograph for their positions.
Hope you could get an idea from here
Doubt clarification - use comment section.
Find the other endpoint of the line segment with the given endpoint and midpoint. 3) Endpoint: (-5, 4), midpoint:(-10, -6) 4) Endpoint: (-8, 8), midpoint: (5.-3)
We have to find the other endpoint of the line segment with:
\(\begin{gathered} \text{Endpoint}=(-5,4) \\ \text{Midpoint}=(-10,-6) \end{gathered}\)For doing so, we will have to find the x and y-coordinates of the point.
First, we will find the line for which the two points pass through. Then, we will find the x-coordinate of the endpoint, using the definition of midpoint, and finally, we will use the x-coordinate and the function for finding the y-coordinate of the point.
Finding the lineWe will find the slope, and the y-intercept. For the slope, we use the formula:
\(m=\frac{y_2-y_1_{}}{x_2-x_1_{}}\)where (x₁,y₁) and (x₂,y₂) are the coordinates of the points. Using it we find:
\(m=\frac{4-(-6)}{-5-(-10)}=\frac{10}{5}=2\)This means that the slope is 2. Now, for the y-intercept, we replace on the general slope-intercept formula:
\(y=mx+b\)And we get that:
\(\begin{gathered} 4=2(-5)+b \\ 4=-10+b \\ 4+10=b \\ 14=b \end{gathered}\)We get that the equation of the line is:
\(y=2x+14\)Finding the x-coordinateFor this step, we know that the distance in the x-coordinates between the midpoint and the endpoint is:
\(\lvert-10-(-5)\rvert=\lvert-10+5\rvert=\lvert-5\rvert=5\)This means that the distance in the x-coordinates between the midpoint and the other endpoint is also 5. Thus, as it is moving to the left, the x-coordinate will be -10-5=-15.
Finding the y-coordinateFor this step, we replace the x-coordinate onto the function obtained on the step 1, and we will get the y-coordinate of the other endpoint.
Find the distance traveled in 25 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t) feet per second
Answer:
499.338 feet
Step-by-step explanation:
You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.
DistanceThe distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...
\(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)
The distance traveled in 25 seconds is 499.33 feet.
It is required to find the distance traveled in 25 seconds.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
We have to find the distance , we will integrate v(t) from 0 to 25 second.
Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.
Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is
1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.
According to given question we have
Given a velocity function v, the distance s is figured by taking the integral. In this case,
v = 20 + 5 cos(t)
s = 20t + 5 sin(t) from 0 to 25
= s(45)-s(0)
s(0) = 0
so, the distance is
s(25) = 20*25 + 5sin(25)
= 500 -0.661
=499.33 feet.
Therefore, the distance traveled in 25 seconds is 499.33 feet.
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A garden is in the shape of a square with each side measuring 9 feet. Find the distance diagonally across the garden.
Answer:
This is your answer ☺️☺️☺️
The distance diagonally across the garden is,
⇒ 12.7 feet
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
A garden is in the shape of a square with each side measuring 9 feet.
Let the distance diagonally across the garden = d
Hence, We can formulate;
⇒ d² = 9² + 9²
⇒ d² = 81 + 81
⇒ d² = 162
⇒ d = √162
⇒ d = 12.7 feet
Thus, The distance diagonally across the garden is,
⇒ 12.7 feet
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Does the series converge or diverge? If it converges, what is the sum? Show your work.
Step-by-step explanation:
This is a geometric series where our common ratio is -1/2, and a is -4
Since r is less than -1, this series converges so
The sun is
\( \frac{ - 4}{1 + 0.5} \)
\( \frac{ - 4}{1.5} = - \frac{8}{3} \)
The sum is -8)3
is y=3 and x=5 perpendicular?
Answer:
yes
Step-by-step explanation:
One is a horizontal line, and the other is a vertical line.
Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.
Step-by-step explanation:
A car insurance company charges
insurance premium in proportion to the car's value. For a $12,000 car, the monthly premium is $65. Scot pays a $90 monthly premium for his car. To the nearest dollar, how much is his car valued at?
Scot's car is valued at
The cost of the car with the premium $90 is $ 16615.
Given that, for a $12,000 car, the monthly premium is $65. Scot pays a $90 monthly premium for his car.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the cost of the car be x with the premium $90.
Now, 12000 : 65 :: x : 90
12000 × 90 = 65 × x
⇒ 1080000 = 65x
⇒ x = 1080000/65
⇒ x = 16615.38
≈ 16615
Therefore, the cost of the car with the premium $90 is $ 16615.
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Sunny’s Surf Shop sold 20 surfboards last week. This week, they will sell 320 percent as many. How many surfboards will Sunny’s sell this week?
Answer:
64
Step-by-step explanation:
3.2*20=64
Answer:
Multiplying 20 by 320% is the same thing as multiplying 20 by 3.2, or 20(3.2)=64. Hope this helped!
Step-by-step explanation:
No step just very smart im only in 5th grade so i should know this if i was paying attentionUse the graph to approximate the number of points of intersection of the graphs of y₁
Y₁ = 5 sin(x)
Y₂ = 6x + 1
Answer:
y_1 and y_2 have one point of intersection.
Step-by-step explanation:
The point of intersection of two functions refers to the point or points on a graph where the two functions intersect or cross each other. In terms of mathematical representation, it is the solution to the system of equations formed by equating the two functions.
To find the point(s) of intersection, you need to set the two functions equal to each other and solve for the variables. The resulting values give you the x-coordinates of the intersection point(s), and by substituting these values back into either of the original functions, you can find the corresponding y-coordinates. We can also use a graphing calculator if allowed to.
It's important to note that not all pairs of functions will have points of intersection. In some cases, the functions may not intersect at all, or they may have infinitely many points of intersection if they are identical.
In our case we are asked to approximate the number of points of intersection, not what are the points of intersection. Using the graph, we can conclude that y_1 and y_2 cross each other in one spot.
What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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If the earth's radius is approximately 4,000 mi, what distance (in miles) is traveled by the satellite in one complete orbit? Use your calculator value of . Round your answer to two decimal places.
( NO LINKSSSSS!!!!!!!!!!!!!!!!!!!!!!!)
Answer:
radius [r]=4000mi
circumference [C]=2πr=2×π×4000mi=25132.74mi
so,it travels 25132.74mi in one complete orbit.
Subtract. Write your answer in simplest form. 13/15 - 2/5
Answer:
7/15
Step-by-step explanation:
sorry if i am wrong
What is the formula forfinding the area of a circle using its radius or diameter.
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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Math- i don’t understand how to get the answer please help
PRE CAL HELP N EEDED PLEASE THANK YOU
Answer:
I'm sorry
Step-by-step explanation:
I'm in middle school I wish I could help.
PLEASE HELPP!!!!!!!!!!!
Answer:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;
Step-by-step explanation:
(24cm + 14cm + 25cm) 10 + 2 × 14
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"If compound X is boiling, then its temperature must be at least 150°C." Assuming that this statement is true, which of the following must also be true? a. If the temperature of compound X is at least 150°C, then compound X is boiling. Answer + b. If the temperature of compound X is less than 150°C, then compound X is not boiling. Answer + c. Compound X will boil only if its temperature is at least 150°C. d. If compound X is not boiling, then its temperature is less than 150°C. e. A necessary condition for compound X to boil is that its temperature be at least 150°C. f. A sufficient condition for compound X to boil is that its temperature be at least 150°C.
The conclusion is:
FalseTrueFalseFalseTrueFalseWhat is Conditional statement?Conditional statements are those statements where a hypothesis is followed by a conclusion.
Given:
If compound X is boiling, then its temperature must be at least 150°C.
Let p = "compound X is boiling",
and q = "temperature must be at least 150◦C".
we have the statement “If compound X is boiling, then its temperature must be at least 150◦C.”
using conditional operator we can write p ⟹ q
q ⟹ p is not equivalent to p ⟹ q , so it's false¬q⟹¬p is equivalent to p ⟹ q , so it's truep ⟺ q is not equivalent to p ⟹ q , so it's false¬p⟹¬q is not equivalent to p ⟹ q , so it's false p ⟹ q is equivalent to p ⟹ q , so it's trueq ⟹ p is not equivalent to p ⟹ q , so it's falseLearn more about conditional statement here:
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What is the value of this expression when c = -4 and d = 10
Answer:
B: 9
Step-by-step explanation:
First plug in the numbers to the equation
\(\frac{1}{4} (c^{3} + d^{2})\)
\(\frac{1}{4} (-4^{3} + 10^{2})\)
Then use PEMDAS to solve
\(\frac{1}{4} (-4^{3} + 10^{2})\)
\(\frac{1}{4} (-64 + 100)\)
\(\frac{1}{4} (36)\)
9
#7 find the answer with the offering 20% discount
Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.
What is a discount?A discount is an amount that reduces the price of a retail item.
Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.
Discount rate on offer = 20%
Discounting factor = 80% or 0.8 (100 - 20%)
Manufacturer's coupon off the price = $200
Let the price of the bureau = x
The price after the discount (discounted price) is given by D(x)
D(x) = 0.8x
The price after the coupon = C(x) = x - 200
The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200
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Complete Question:Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).
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I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 29 liters per minute. There are 700 liters in the pond to start.Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equationrelating W to T. Then use this equation to find the total amount of water after 17 minutes.Equation:х5?Total amount of water after 17 minutes: liters
Answer
at 17minutes the total amount of water in the pool is 1, 193 liters
Let W represent the total amount of water
Let T represent the time in minutes
The total amount of water = Initial liters of water in the pool + rate of water added x time
W = 700 + 29 x t
W = 700 + 29 x T
W = 700 + 29T
The equation is W = 700 + 29T
T = 17 minutes
W = 700 + 29(17)
W = 700 + 493
W = 700 + 493
W = 1,193 liters
Therefore, at 17minutes the total amount of water in the pool is 1, 193 liters
#8 help with algebra 2 question. That’s the only picture I have. I tried writing it out.
Solution:
Given a cosine function graph;
The general cosine function is
\(y=A\cos(Bx-C)+D\)Where
\(\begin{gathered} A\text{ is the amplitude} \\ Period=\frac{2\pi}{B} \\ C\text{ is the phase shift} \\ D\text{ is the vertical shift} \end{gathered}\)From the graph,
The midline is y = 1
The amplitude, A, is
\(\begin{gathered} A=4-1=3 \\ A=3 \end{gathered}\)The amplitude, A is 3
Where,
\(\begin{gathered} Period=12 \\ Period=\frac{2\pi}{B} \\ 12=\frac{2\pi}{B} \\ Crossmultiply \\ 12B=2\pi \\ Duvide\text{ both sides by 12} \\ \frac{12B}{12}=\frac{2\pi}{12} \\ B=\frac{\pi}{6} \end{gathered}\)The phase shift, C = 0, and the vertical, D, is 1
Thus, the equation of the graph is
\(\begin{gathered} y=A\cos(Bx-C)+D \\ Where \\ A=3 \\ B=\frac{\pi}{6} \\ C=0 \\ D=1 \\ y=3\cos(\frac{\pi}{6}x)+1 \end{gathered}\)The graph is shown below
Hence, the equation is
\(y=3\cos(\frac{\pi}{6}x)+1\)Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Describe the difference between the calculation of population standard deviation and sample standard deviation.
Answer:
Step-by-step explanation:
During the calculation of any population standard deviation, the sum of the squared deviation is usually divided by N, which is the number of data entry in the population. Thereafter, the square root of the result would be taken.
On the other hand, during the calculation of the sample standard deviation, the sum of the squared deviations is usually divided by n - 1, with n being number of entries in the sample data set. Thereafter, the square root of the result would be taken.
The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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Home sizes in Anytown, USA have a mean of 2400 square feet and a standard deviation of 450 square feet. What is the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet
Answer:
0.00084
Step-by-step explanation:
We are given that
Mean,\(\mu=2400\) square feet
Standard deviation, \(\sigma=450\)square feet
n=50
We have to find the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet.
\(P(x<2200)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}<P(\frac{2200-2400}{\frac{450}{\sqrt{50}}})\)
\(P(x<2200)=P(Z<\frac{-200}{\frac{450}{\sqrt{50}}})\)
Using the formula
\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)
\(P(x<2200)=P(Z<-3.14)\)
\(P(X<2200)=0.00084\)
Hence, the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet=0.00084
if the midpoint between (3, 4) and (5, y) is (4, -2), what is the value of y?
Answer:
y = -8
Step-by-step explanation:
to find the midpoint you add the two together then divide by 2
(4 + y) / 2 = -2
4 + y = -4
y = -8
3. Determine if the graph below is a function.
Explain your reasoning.
Answer:
A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Step-by-step explanation: