Answer:
Orange area
area=x^2+x-12
Step-by-step explanation:
width=x+3
length=x-4
area=width x length
area=(x+3)(x-4)
area=x^2-4x+3x-12 = x^2+x-12
kito is drawing and labeling a number line. Where would she place -9 in relation to +3
Answer:
(-9,-3)
Step-by-step explanation:
When you are talking about in relation you do what I do.
mark pushes his broken car 130 m down the block to his friend's house. he has to exert a 120 n horizontal force to push the car at a constant speed.
The work done by Mark in pushing his broken car 130 meters down the block with a 120 N horizontal force is 15,600 J (joules).
We can use the formula: Force (F) = mass (m) x acceleration (a)
Since the car is not accelerating, the acceleration is 0 m/s^2. Therefore, we can solve for the mass of the car:
120 N = m x 0 m/s^2
m = 0 kg
This is not a realistic value for the mass of a car, but it means that the car is not affected by gravity or any other forces that would cause it to accelerate.
Now, we can calculate the work done by Mark on the car:
Work (W) = force (F) x distance (d)
W = 120 N x 130 m
W = 15,600 J
Therefore, Mark has exerted a total of 15,600 joules of work to push his broken car 130 meters down the block to his friend's house.
To determine the work done by Mark in pushing his broken car 130 meters to his friend's house, we can use the formula for work: Work = Force x Distance x cos(theta). In this case, the horizontal force exerted is 120 N, and the distance is 130 m. Since Mark is pushing the car horizontally, the angle between the force and the displacement is zero degrees. The cosine of zero degrees is 1. So, the work done is Work = 120 N x 130 m x 1.
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the following data were collected for a two-factor anova with two treatments and three blocks. treatment block 1 2 a 46 31 b 37 26 c 44 35 using the 0.05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ.
The test hypothesis using 0.05 significance level has the following results:
The treatment means differThe block means do not differPart 1:
State the null and alternative hypotheses for treatments:
Null hypothesis=treatment means do not differ
Alternative hypothesis=The means are different
State the decision rule for treatments:
Table value of F(1,2)=18.51
If the calculated F>18.51, reject the null hypothesis
Decision: Treatments
Calculated F=43.75 >18.51, here, we reject the null hypothesis
Hence, we conclude that the treatment means differ.
Part 2:
State the null and alternate hypotheses for blocks.
Null hypothesis=block means do not differ
Alternative hypothesis: At least on pair of means are different
Also, state the decision rule for blocks:
Table value of F(2,2)=19.0
If the calculated F >19.0, reject the null hypothesis
Decision: Blocks
Calculated F=8.14 < 19.0, we do not reject the null hypothesis
Hence, we conclude that the block means do not differ.
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Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 41.9mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83
a van moves at a constant speed of 4 miles per hour. How long would it take to travel a distance of 100 miles?
Answer:
it would take about 25 hours
750=1000*(1-(1/(1.01^139)))+(R/(1.01^140)
The value of R for the given expression will be 0.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 750=1000 x (1-(1/(1.01¹³⁹)))+(R/(1.01¹⁴⁰). The expression for the R will be solved as below,
750=1000 x (1-(1/(1.01¹³⁹)))+(R/(1.01¹⁴⁰)
1000(1 - 1 / 4 + R / 4 ) = 750
1000(4 -1 + R ) / 4 = 750
1000 ( 3 + R ) = 3000
3 + R = 3
R = 3 - 3
R - 0
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Trivia: How strong am I?
A. 2
B. 9000!!
C. No limit
D. 1,000,000,000
Answer:
c
Step-by-step explanation:
Answer:
lets say All of the above.
Step-by-step explanation:
It costs $21.50 to enter an amusement park and $0.50 to ride a ride. You have $24. Write an equation that represents the number r of rides you can ride.
Answer:
24=0.5r+21.5
Step-by-step explanation:
y=mx+b
24= how much money you have
0.5= cost of each ride
r=number of rides you can ride
21.5= price it takes to enter
How many zero's would 10 to the power of 3 have?
Pete needs weight exactly 250 grams of sugar which method could Pete use to most accurately weight the sugar
Answer:
Well a scale or a food scale.
Step-by-step explanation:
Unless theres other options, a small Cale would work just fine
Adele made bookmarks and name tags for her friends. The number of bookmarks she made is 4 times as many as the number of name tags she made. If she made 8 name tags, how many bookmarks did she make?
A.
12
B.
32
C.
40
Answer:
32
Step-by-step explanation:
The number of bookmarks she made is 4 times as many as the number of name tags she made.
4 times = 4*
If she made 8 name tags, how many bookmarks did she make?
Hence, equation is 4*8 which equal 32.
[RevyBreeze]
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households.
The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.
Population - all of the households in New York City in 1900.
Variable - a quantity equivalent to the number of children in a randomly selected household
Parameter - the mean number of children per household in New York City in 1900
Sample - the 200 households selected by the historian
Data - the 200 records collected by the historian
Statistic - the mean number of children per household in the historian's sample.
Complete question:
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.
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Fill in the blanks: The equation \( |5 x-1|=6 \) is equivalent to or The equation \( |5 x-1|=6 \) is equivalent to Or
The equation |5x - 1| = 6 is equivalent to 5x - 1 = 6 or 5x - 1 = -6. This is because the absolute value of a number can be positive or negative, so both cases need to be considered when solving the equation.
When |5x - 1| = 6, we can set up two separate equations to solve for x.
In the first case, we assume that 5x - 1 is positive and equal to 6,
so we have:|5x - 1| = 65x - 1 = 6Add 1 to both sides:5x = 7
Divide both sides by 5:x = 7/5In the second case, we assume that 5x - 1 is negative and equal to -6,
so we have:|5x - 1| = 6-(5x - 1) = 6Add 5x to both sides:1 = 6 + 5x
Subtract 6 from both sides:-5 = 5xDivide both sides by 5:x = -1
Thus, the equation |5x - 1| = 6 is equivalent to x = 7/5 or x = -1.
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rectangle has a length of 24 in. and a width of 14 in. it is dilated and the image has a width of 21 in. what is length of the image of the rectangle? (
Calculating this expression, we find that the length of the image of the rectangle is 36 in.
To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:
(image width) / (original width) = (image length) / (original length)
Substituting the known values, we have:
21 in. / 14 in. = (image length) / 24 in.
Solving for the image length, we get:
(image length) = (21 in. / 14 in.) * 24 in.
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A box in the shape of a rectangular prism is shown below. The box is completely filled with 432 identical cubes. The edge length of each cube is inch long. What is the volume of the box?
The volume of the box is 432 cubic inches
Calculating the volume of the box?From the question, we have the following parameters that can be used in our computation:
Completely filled with 432 identical cubes. Edge length of each cube is 1 inch long.The volume of the box is calculated as
Volume = Number of cubes * Volume of each cube
Where
Volume of each cube = 1 * 1 * 1
Volume of each cube = 1
Substitute the known values in the above equation, so, we have the following representation
Volume = 432 * 1
Evaluate
Volume = 432
Hence, the volume of the box is 432 cubic inches
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Trey designs a new game for cell phones. The game has 10 levels.
Each level takes 38 seconds to complete. How many total seconds does
it take to complete Trey's game?
find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie
well, let's notice, hmmm a circle has 360°, and that one above is shaded but 90°, so that means the shaded area is really 270° of the circle whose radius is 6.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =270 \end{cases}\implies A=\cfrac{(270)\pi (6)^2}{360}\implies A=27\pi\)
use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
Answer: A
Step-by-step explanation:
I took the quiz
The dilation is solved and the scale factor is 5 : 1 , where side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the scale factor of the dilation be represented as k
where the measures of sides of the triangle ABC are
AB = 30 inches
BC = 35 inches
CA = 15 inches
And , k = 5 : 1
So , the measure of the smaller triangle KLM is given by
KL = 30/5 = 6 inches = b
LM = 15/5 = 3 inches = c
And , KM = 35/5 = 7 inches = a
Hence , the dilation is solved
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Please help me I need to finish this :)
for the first three seconds of the day, the arrival rate at the book store is 29 customers per second. the book store is capable of serving 27 customers per second. assume that the system is empty at the start and that no customer who arrives leaves without being served. at the end of the first three seconds, how many customers would you expect to find in line?
At the end of the first 3 seconds, there would be 6 customers in line at the book store.
Little's Law can be used to calculate the number of customers in line at the end of the first 3 seconds. According to Little's Law: the average number of customers in the system is equal to the arrival rate multiplied by the time spent in the system.
In this case, the arrival rate during the first 3 seconds is 29 customers per second, and the time spent in the system is 3 seconds. Therefore the average number of customers in the system is 87 (29 customers per second x 3 seconds).
However since the bookstore can only serve 27 customers per second, the maximum number of customers that can be served during the first three seconds is 81 (27 customers per second x 3 seconds). This means that there are 6 customers who remain in line at the end of the first 3 seconds.
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FIND THE DIFFerence.
78,000 - 9,743 =
Answer:
68257
Step-by-step explanation:
Answer:
1943 is the difference between these two numbers
Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7). Jimmy's house is located halfway between Alex's house and Kara's house. Which ordered pair represents Kara's house?
A (1, 12.5)
B. (24,-4)
C. (-25,-4)
D. (2,25)
12. Describe the graph of a quadratic function that has its vertex and a zero
at the same point.
The dot represents the vertex, and the x represents the point where the parabola touches the x-axis. The parabola is symmetric about the vertical line x = h and does not cross the x-axis anywhere else.
What is parabola?A parabola is a type of curve that is defined by a specific mathematical equation, namely, the quadratic equation. It is a symmetrical curve that can be described as the shape of the graph of a quadratic function.
by the question.
If (h, k) is a zero of the function, then. \(f(h) = 0\). Substituting this into the equation for f(x), we get:
\(0 = a(h - h)^2\)
\(0 = 0\)
This is a true statement, which tells us that (h, k) is indeed a zero of the function.
Now, let's consider the graph of this function. Since the coefficient a is non-zero, the parabola will be facing either upwards or downwards. If a > 0, then the parabola will be facing upwards, and if a < 0, then the parabola will be facing downwards.
Since the vertex of the parabola is at (h, k), the axis of symmetry is the vertical line x = h. Therefore, the parabola is symmetric about this line.
Finally, since (h, k) is also a zero of the function, the parabola must cross the x-axis at x = h with a single point of tangency. This means that the parabola just touches the x-axis at this point and does not cross it.
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Find x and y please please . Math help
Answer:
x = y = 20
Step-by-step explanation:
The two triangles shown are similar because one is simply an extension of othe other.
From this, we can use a similar side lengths formula specifically for triangles.
\(\frac{y + 5}{y} = \frac{15}{12}\\\)
Notice that this represents the ratio of the whole side to the smaller side and says that this proportion is equal to the proportion for its adjacent side lengths. Cross mutiply the above equation to solve for y.
12(y+5) = 15y
12y + 60 = 15y
y = 20
Now we need to find the value of x. We have a side and hypotenuse's length of this large triangle, so we can use the pythagorean theorem to calculate the unknown side length.
(12 + 3)² + x² = (20 + 5)²
15² + x² = 25²
225 + x² = 625
x² = 400
x = ±20
The negative 20 doesn't make sense for this application so use the positive 20.
Therefore x = 20, y = 20.
d(n)=-5(1/2)n-1 what is the third term in the sequence
Answer: d3 = - 17/2
correction: This is an explicit formula
All we have to do is plug n = 3 in the formula to find the 3rd term.
2. d(3)=-5(1/2)3-1
= -5/4
Step-by-step explanation:
All of the following are equivalent except
O (4)( y)
o 4 +y
0 4 . y
0 4 Y
The point (1,−1) satisfies the inequality 40x−22y≤50.
Không thảo mãn vì
44.1-22.(-1)=66
No, the point (1,-1) does not the satisfy the inequality 40x-22y<=50.
What is an inequality?
It is a type of equation in which greater than less than or equal to are used instead of only equal to.
How to solve an inequality?
To check whether whether a point satisfies an inequality or not we need to just put it in the inequality. So,
40x-22y<=50
40(1)-22(-1)=40+22=62
62 is not less than and not equal to 50. So it does not satisfies the inequality.
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can image 2 be the reflected figure
Answer:
Is there supposed to be a picture?
Step-by-step explanation:
Answer:
we need the image
Step-by-step explanation:
Un crucero tiene habitaciones dobles y sencillas. En total tiene 47 habitaciones y 79 plazas. ¿Cuántas habitaciones tiene de cada tipo?
Solución: 15 individuales y 32 dobles
The cruise ship has 15 single rooms and 32 double rooms.
A cruise ship has double and single rooms. It has a total of 47 rooms and 79 seats. The best way to solve this problem is to set up a system of linear equations and solve for the variables.
Let x be the number of single rooms and y be the number of double rooms.
Then we can set up two equations based on the information given: x + y = 47 (the total number of rooms is 47) and 1x + 2y = 79 (the total number of seats is 79, and single rooms have one seat while double rooms have two seats).Solving the system of equations:x + y = 47
1x + 2y = 79
Multiplying the first equation by 2 and subtracting it from the second equation, we get:y = 32Substituting this value of y into the first equation, we get:x + 32 = 47x = 15
Therefore, there are 15 single rooms and 32 double rooms on the cruise ship.Answer: The cruise ship has 15 single rooms and 32 double rooms.
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ZA and ZB are complementary angles. If
the measure of ZA is 42°, find the measure
of ZB.
The measure of angle ∠B = 48° which is complement to ∠A
What are Supplementary and Complementary Angles?Supplementary angles are two angles that add up to 180 degrees. In other words, if angle A and angle B are supplementary, then:
A + B = 180°
Complementary angles are two angles that add up to 90 degrees. In other words, if angle A and angle B are complementary, then:
A + B = 90°
Given data ,
If two angles are complementary, their sum is 90 degrees.
Let's represent the measure of ∠B by x.
∠A + ∠B = 90
42 + x = 90
Subtracting 42 from both sides, we get:
x = 90 - 42 = 48°
Hence , the measure of angle ∠B is 48°
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