Answer:
r(-2) = -5 , r(0) = -7 , r(5) = -12.
Step-by-step explanation:
Using the following graph, find f(0) and f(-2)
Answer:
f(0) = 0
f(-2) = 1
Step-by-step explanation:
f(0) means the value of f when x = 0. The line is the result of equation f for all points shown on the graph. Look for the values at x = 0 and x = -2.
They are (0.0) and (-2,1). This can be written as:
f(0) = 0
f(-2) = 1
Seth wants to buy a new skateboard that cost 167$ he has 88$ in the bank if he earns 7.25 an hour how many hours will seth have to work to earn the money needed to earn the rest of the money?
Answer:
about 11 hours to make the money
Step-by-step explanation:
167-88=79
79/7.25=11
Hopes this helps please mark brainliest
A senior citizens group is making fruit baskets and plans to sell them as a fundraiser they are able to make 10 fruit baskets and want to sell them for $35 each
If a senior citizens' group is making fruit baskets then they can make 10 fruit baskets and want to sell them for $35 each . The domain is [0, 10] and range is [0, 350].
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given data that Fruit basket produce = 10
Fruit basket sold = $35
WE need to determine the domain and the range since we were told they make 10 baskets of fruits and as well intend to sell the basket of fruit for the amount of $35 :
Therefore :
Domain : [0, 10]
Range : [ 0, 350 ]
Hence, If a senior citizens' group is making fruit baskets and plans to sell them as a fundraiser then they can make 10 fruit baskets and want to sell them for $35 each . The domain is [0, 10] and range is [0, 350].
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An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of the country from 240 to 306 days before the birth of the child, so the pregnancy would have been less than 240 days or more than 306 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. What is the probability that he was NOT the father? What is the probability that he could be the father? Calculate the z-scores first, and then use those to calculate the probability.
The probability that the alleged father was not the father is: 0.024, or 2.4% and The probability that the alleged father could be the father is: 0.953, or 95.3%.
To calculate the probability that the alleged father was not the father, we first need to calculate the z-score for a pregnancy length of 240 days and for a pregnancy length of 306 days. The z-score formula is:
z = (x - mu) / sigmawhere x is the pregnancy length, mu is the mean pregnancy length, and sigma is the standard deviation of pregnancy length.
For a pregnancy length of 240 days, the z-score is:
z = (240 - 280) / 13 = -3.08For a pregnancy length of 306 days, the z-score is:
z = (306 - 280) / 13 = 2.00To calculate the probability that the alleged father was not the father, we need to find the area under the normal distribution curve to the left of the z-score for a pregnancy length of 240 days and to the right of the z-score for a pregnancy length of 306 days, and then add these probabilities together. Using a standard normal distribution table or calculator, we find that the probability to the left of z = -3.08 is approximately 0.001, and the probability to the right of z = 2.00 is approximately 0.023. Therefore, the probability that the alleged father was not the father is:
0.001 + 0.023 = 0.024, or 2.4%To calculate the probability that the alleged father could be the father, we need to find the area under the normal distribution curve between the z-scores for a pregnancy length of 240 days and a pregnancy length of 306 days. Using a standard normal distribution table or calculator, we find that the probability between z = -3.08 and z = 2.00 is approximately 0.953. Therefore, the probability that the alleged father could be the father is:
0.953, or 95.3%Learn more about probability
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Jose worked n hours at $8.75 per hours. He made $61.25.Which expression represents the total number of hour jose worked?
Answer:
8.75n = 61.25
Step-by-step explanation:
We multiply n, number or hours, times how much he makes per hour.
Therefore, it is 8.75n = 61.25
Hope this helps :)
Evaluate the surface integral of the function g(x,y,z) over the surface s, where s is the surface of the rectangular prism formed from the coordinate planes and the planes x=2 y=2 z=3
The surface integral of the function g(x, y, z) over the surface S is evaluated.
To evaluate the surface integral, we consider the rectangular prism formed by the coordinate planes and the planes x = 2, y = 2, z = 3. This prism encloses a six-sided surface S. The surface integral of a function over a surface measures the flux or flow of the function across the surface.
In this case, we are integrating the function g(x, y, z) over the surface S. The specific form of the function g(x, y, z) is not provided in the given question. To evaluate the surface integral, we need to know the expression of g(x, y, z).
Once we have the expression for g(x, y, z), we can set up the integral by parameterizing the surface S and calculating the dot product of the function g(x, y, z) and the surface normal vector. The integral will involve integrating over the appropriate range of the parameters that define the surface.
Without the specific expression for g(x, y, z) or further details, it is not possible to provide the exact numerical evaluation of the surface integral. However, the general procedure for evaluating a surface integral involves parameterizing the surface, setting up the integral, and then performing the necessary calculations.
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Timothy wanted to get some exercise. He walked 12 blocks in 10 minutes. What was his average speed of his walk?
Answer: 1.2 blocks
Step-by-step explanation:
Timothy walks 12 blocks in 10 minutes so it can be written as
12 blocks = 10 minutes
divide both sides by 10
1.2 blocks per minute
4) Find the perimeter of square whose side is 6.4cm
Answer:
Perimeter = 25.6 cm
Explanation:
Square Perimeter Formula: \(P = 4 * s (side length)\)
\(P = 4*6.4cm \\P = 25.6 cm\)
Tovia is playing a video game and currently has 250 points. She can make it to the next level when she has a total of 1000 points. If she can score 45 points per minute, how long will it take her to make it to the next level?
Answer:
17 minutes.
Step-by-step explanation:
Already has 250 points.
45 (points per min.) times 17(min.) is 765.
765 + 250 = 1015 points
It would take her 17 minutes.
Answer:
an estimate is 17 minutes :)
Step-by-step explanation:
The circumference of a wheel is 320.28 centimeters.
a) Determine the radius of the wheel.
b) Determine the area of the wheel.
Answer:
radius is 50.95
area is 8158.55
Step-by-step explanation:
cirumference = 2pi×r
or,320.28=2×(22/7)×r
or, r=320.28/(2×(22/7))
r=50.95 cm
area=(22/7)r^2
=8158.55
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 1725 miles, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week?
The gallon used by the first car is 35 gallons and the gallon used by the first car is 25 gallons.
How many gallons is used by each car?The first step is to form a system of linear equation:
35a + 20b = 1725 equation 1
a + b = 60 equation 2
Where:
a = gallons used by the first carb = gallons used by the second carThe elimination method would be used to solve this question.
Multiply equation 2 by 35:
35a + 35b = 2100 equation 3
Subtract equation 1 from equation 3:
15b = 375
Divide both sides of the equation by 15:
b = 375 / 15
b = 25
Substitute for b in equation 2 :
a + 25 = 60
a = 60 - 25
a = 35
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If a circular arc of the given length s subtends the central angle θ on a circle, find the radius of the circle.
s = 3 km, θ = 20°
The radius of the circle is 150 meters.
If a circular arc of the given length s subtends the central angle θ on a circle, find the radius of the circle.
s = 3 km, θ = 20°
We are given the length of the circular arc (s) and the central angle θ, and we need to find the radius (r) of the circle.The formula that relates the length of a circular arc (s), the central angle (θ), and the radius (r) of the circle is:s = rθ, where s is in length unit (km) and r is in length unit (km) and θ is in degrees.
So, to find the radius of the circle, we need to rearrange the above formula as follows:r = s/θPutting in the values,s = 3 kmθ = 20°
Now substituting the values in the above formula we get:r = s/θr = 3/20The radius of the circle is 0.15 km or 150 m (rounded to the nearest meter).
Therefore, the radius of the circle is 150 meters.
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Calculate the perimeter of this right- angled triangle. Give your answer in metres (m) to 1 d.p. 7m 19 m
Answer: 46.2m
Side A = 7m
Side B = 19m
Side C = 20.2m
Side A + Side B + Side C = ABC
7 + 19 + 20.2 = 46.2m
find the area of the triangle. B = 28yd
H = 7.1yd
Please help
Answer:
99.4 square yards
Step-by-step explanation:
The formula for the area of a triangle is:
\(A = \dfrac{1}{2} \cdot \text{base} \cdot \text{height}\)
We can plug the given dimensions into this formula and solve for \(A\).
\(A = \dfrac{1}2 \cdot (28\text{ yd}) \cdot (7.1 \text{ yd})\)
\(\boxed{A = 99.4\text{ yd}^2}\)
So, the area of the triangle is 99.4 square yards.
a parejas, resuelvan los siguientes problemas. En dos localidades hay habitantes que hablan una len- distinta al español: en El Cerrito son 3 de cada 4, mientras que en El Paseo son 5 de cada 7. gua a) ¿En cuál de las dos localidades hay un número ma- yor de hablantes de una lengua distinta al español? b) ¿De cuánto es la diferencia entre las dos localidades?
The difference between the two localities is 1 speaker.
Let's solve the problems step by step:
a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.
In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.
In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.
To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.
In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).
In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).
From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.
Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.
b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.
In El Cerrito, there are 21 speakers of a different language than Spanish.
In El Paseo, there are 20 speakers of a different language than Spanish.
The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.
Therefore, the difference between the two localities is 1 speaker.
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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place
Answer:
179.3 square units
Step-by-step explanation:
The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.
__
SemicircleThe area of a circle with radius 5 is ...
A = πr²
A = π(5²) = 25π
The area of the semicircle is half that:
semicircle area = (25π)/2 = 12.5π ≈ 39.3 . . . . square units
RectangleThe area of a rectangle with length L and width W is ...
A = LW
The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.
A = (14)(10) = 140 . . . . square units
Total areaThe sum of the areas of the parts is ...
total area = semicircle area + rectangle area
total area = 39.3 + 140 = 179.3 . . . . square units
5
7
2
8
1) what is the area (square units)
find the 95% prediction interval for rolling distance when a child riding the bike weighs 106 lbs. (round to 4 decimal places) < y
The 95% prediction interval for rolling distance when a child riding the bike weighs 106 lbs is 100.7
Prediction interval:
In math, prediction interval means the range of values that is likely to contain the value of a single new observation given specified settings of the predictors.
Given,
Here we need to find the 95% prediction interval for rolling distance when a child riding the bike weighs 106 lbs and we have to round the resulting value into four decimal places.
While we looking into the given question, we have identified the value of
Weight = 106 lbs
Prediction interval = 95%
So, the rolling distance of the child is calculated as,
=> 106 x 95/100
=> 100.7
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What is the measure of the missing side?
A grinding process has an upper specification of 1.649 inches and a lower specification of 1.507 inches. A sample of parts had a mean of 1.57 inches with a standard deviaiton of 0.026 inches.
Round your answer to four decimal places.
What is the process capability index for this system?
Answer:
The process capability index for this system is 0.9103
Step-by-step explanation:
Upper specification = 1.649 inches
Lowe Specification = 1.507 inches
Mean = 1.57 inches
Standard Deviation = 0.026 inches
Process Capability Index = PCI
PCI = (Upper specification - lower specification)/6(standard deviation)
So, we get,
PCI = (1.649 - 1.507)/((6)(0.026))
PCI = 0.142/0.156
PCI = 0.9102564
To four decimal places, we get,
PCI = 0.9103
suppose you toss 3 coins at one time. what is the probability that exactly two land with heads facing up?
The probability of getting heads is 3/8.
Probability:
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
Since 3 is a small number, let's list out all possible combinations.
H represents a head while T represents a tail.
3 Heads
HHH
2 Heads
HHT
HTH
THH
1 Head
HTT
THT
TTH
0 Head
TTT
The answer is
3/1+3+3+1=3/8
OR
In general, we will find that the list resembles a particular row of the pascal's triangle.
If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth elements in the n + 1 line. All elements of the series n+1.
\(\left[\begin{array}{ccc}N\\\\R\end{array}\right]\)/ 2ⁿ = \(\frac{n!}{r! * (n - r)!* 2^{n} }\)
n this case,
N =3andR= 2
3!/ 2!×1! × 2³
= 6/ 2× 1 × 8
= 3/8
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What is the perimeter of the regular heptagon below?
Answer:15.65
Step-by-step explanation:
Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends order only cotton sweatshirts?
Answer:
here is your answer
Answer:hey guys just saying its 1/52
Step-by-step explanation:
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
In ΔUVW, the measure of ∠W=90°, UV = 3.5 feet, and VW = 3.1 feet. Find the measure of ∠V to the nearest degree
Triangle PQR is a right triangle. P(-6,9) Q(-1,-1) R(-9,5) what is the area of triangle PQR
The area of triangle PQR is 25/2 * √(5).
Describe Triangle?In geometry, a triangle is a two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and has many important properties and applications.
The sum of the interior angles of a triangle is always 180 degrees, and the exterior angles sum to 360 degrees. The three sides of a triangle can be classified according to their lengths and their angles.
To find the area of triangle PQR, we can use the formula:
Area = (1/2) * base * height
where the base and height are the lengths of two sides of the right triangle that meet at a 90-degree angle.
We can use the distance formula to find the lengths of the sides of triangle PQR:
PQ = √[(x_Q - x_P)² + (y_Q - y_P)²] = √[(-1 - (-6))² + ((-1) - 9)²] = √[25 + 100] = 5√(5)
PR = √[(x_R - x_P)² + (y_R - y_P)²] = √[(-9 - (-6))² + (5 - 9)²] = √[9 + 16] = 5
QR = √[(x_R - x_Q)² + (y_R - y_Q)²] = √[(-9 - (-1))² + (5 - (-1))²] = √[64 + 36] = 2√20) = 4√(5)
Since triangle PQR is a right triangle, the base and height are PQ and PR, respectively. Therefore, the area of triangle PQR is:
Area = (1/2) * PQ * PR = (1/2) * 5√(5) * 5 = 25/2 * √(5)
So the area of triangle PQR is 25/2 * √(5).
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Last week, Thomas jogged a total of 34.309 miles on his treadmill. Two weeks ago, he jogged 38.074 miles. How many fewer miles did Thomas jog last week than the week before?
3.765. I hope this is the awnser. <33!
Answer:
3.765 miles
Step-by-step explanation:
38.074 - 34.309 = 3.765
Need help! Similarity of triangles
Answer:
x = 12
Step-by-step explanation:
Comparing corresponding sides of the 2 similar Δ 's inside the larger, then
\(\frac{x}{6}\) = \(\frac{6}{3}\) ( cross- multiply )
3x = 36 ( divide both sides by 3 )
x = 12
lines p and q intersect at point (1,3) in the standard (x,y) coordinate plane. lines p and r intersect at (2,5)
In the standard (x, y) coordinate plane, lines p and q intersect at the point (1, 3), while lines p and r intersect at the point (2, 5).
In the given scenario, lines p and q intersect at the point (1, 3) and lines p and r intersect at the point (2, 5). Each point of intersection represents a solution that satisfies both equations of the respective lines.
The equations of lines p and q can be determined using the point-slope form or any other form of linear equation representation. Similarly, the equations of lines p and r can be determined to find their intersection point.
The coordinates (1, 3) and (2, 5) indicate the precise locations where the lines p and q, and p and r intersect, respectively, on the coordinate plane.
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Y=3x-2
Y=2x-5
Find X and Y using substitution
\(y = 3x -2~~~.....(i)\\\\y = 2x-5~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\3x-2 = 2x -5\\\\\implies 3x -2x = -5+2\\\\\implies x = -3\\\\\text{Substitute}~ x =-3,~ \text{in equation (i):}\\\\y = 3(-3) -2 = -9 -2 = -11\\\\\text{Hence,}~ (x,y) = (-3,-11)\)