Susan wants to build a kite with two sticks that measure 12in and 20in.
To determine how much fabric she needs, she has to calculate the surface area of the kite.
To calculate the area of the kite you have to multiply the diagonals p and q and divide the result by 2
\(A=\frac{p\cdot q}{2}\)For p=12in and q=20in
\(\begin{gathered} A=\frac{12\cdot20}{2} \\ A=\frac{240}{2} \\ A=120in^2 \end{gathered}\)She will need 120in² of fabric to cover th
A biology student wants to determine if using a fertilizer would help promote growth of new babies in spider plants. The student has access to 90 spider plants of three varieties: green, variegated, and curly. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. After one year, the shoots will be counted for each plant.
Which of the following describes a random block design for this experiment?
A) The plants are numbered 01–90. Using a line from a random number table, the first 45 two-digit numbers, ignoring repeats and the numbers 91–99 and 00, represent the plants that will receive fertilizer. The remaining 45 plants will not receive fertilizer.
B) The plants are paired together based on similar size and numbered 1 and 2. Within each pair, a 6-sided number cube is rolled. If it lands on 1, 2, or 3, plant 1 receives the fertilizer and plant 2 does not receive fertilizer. If the cube lands on 4, 5, or 6, plant 1 does not receive fertilizer and plant 2 receives fertilizer. This is done for each of the 45 pairs of plants.
C) The plants are grouped based on variety. There are 30 plants of each variety. The plants within each variety are numbered 1–30, and the numbers are put in a random number generator. The first 15 unique numbers represent the plants in each variety that will receive fertilizer and the remaining 15 numbers will represent the plants in each variety that will not receive fertilizer.
D) The plants are grouped based on size. The 30 biggest plants are placed in one group and the 30 smallest plants in another other group. The remaining 30 plants are placed in a third group. For each group, a coin is flipped. If the coin lands on heads then the group will receive the fertilizer. If it lands on tails, then the group will not receive fertilizer. Repeat this procedure for the other two groups.
Answer:
it is b
Step-by-step explanation:
that is the most effective way to measure how well the fertilizer works with all of the plants
QUESTION
if h(x) =f(2-x)+1
determine the range of h
Answer:
h(x) =f(2-x)+1
determine the range
7+2x/4=5 i ll mark the brailliest
Your expression is a little unclear, but I am assuming your expression as:
\(7+\frac{2x}{4}=5\)
The solution would still clear your concept in anyway.
Answer:
The value of x = -4
Step-by-step explanation:
Given the expression
\(7+\frac{2x}{4}=5\)
solving the expression
\(7+\frac{2x}{4}=5\)
as 2x/4 = x/2, so
\(7+\frac{x}{2}=5\)
subtract 7 from both sides
\(7+\frac{x}{2}-7=5-7\)
simplify
\(\frac{x}{2}=-2\)
Multiply both sides by 2
\(\frac{2x}{2}=2\left(-2\right)\)
simplify
\(x=-4\)
Thus, the value of x = -4
What is the value of the expression when y = 2? 2 - y/4 + y + 3(y + 2)/y
3 1/2
6
6 1/2
12
Answer:
6 1/2
Step-by-step explanation:
When y= 2,
substitute the value of y in the expression,
2 - y/4 + y + 3(y + 2)/y
= 2 - 2/4 + 2 + 3(2 + 2)/2
= 2 - 1/2 + 2 + 3( 4 )/2
= 4 -1/2 + 6
= 10/1 - 1/2
the l.c.m of 1 and 2 is 2, therefore;
= ( 20 - 1 )/ 2
= 19 / 2 = 6 1/2
PLease help asap BRAINLIEST ANSWER
Given: line{AB}with point A (2,2) and the midpoint M( 4,-2)
Identify the coordinates of point `B.`
Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line `t`.
Answer: (6,-6)
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula:
Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
M = ((x1+x2)/2, (y1+y2)/2)
Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:
4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6
-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6
Therefore, point B has coordinates (6, -6).
As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.
P(x)=(x-2)(x-4)(x-5)
Px=(x-2)(x-4)(x+5)
Px=1/2(x-2)(x-4)(x+5)
Px=5(x-2)(x-4)(x+5)
Px=-5(x-2)(x-4)(x+5)
What are the constants?
The constants of a polynomial is the term that has no variable attached to it.
The constant termTo determine the constant, we simply multiply the constant term in each factor of the polynomial.
So, we have:
Polynomial P(x) = (x-2)(x-4)(x-5)\(Constant = -2 \times -4 \times -5\)
\(Constant = -40\)
Hence, the constant is -40
Polynomial P(x) = (x-2)(x-4)(x+5)\(Constant = -2 \times -4 \times 5\)
\(Constant = 40\)
Hence, the constant is 40
Polynomial P(x) =1/2(x-2)(x-4)(x+5)\(Constant = \frac 12 \times -2 \times -4 \times 5\)
\(Constant = 20\)
Hence, the constant is 20
Polynomial P(x) = 5(x-2)(x-4)(x+5)\(Constant = 5 \times -2 \times -4 \times 5\)
\(Constant = 200\)
Hence, the constant is 200
P(x) =-5(x-2)(x-4)(x+5)
\(Constant = -5 \times -2 \times -4 \times 5\)
\(Constant = -200\)
Hence, the constant is -200
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Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.
Answer:
Duration = 6 hours
Step-by-step explanation:
Given
\(Regina: 6.50h + 16\)
\(Phil: 3(2.5h + 5)\)
\(Joseph: 7.50h + 10\)
Required
When will Ragina and Joseph earn equal amounts
To solve this:
\(Regina = Joseph\) must be true
This gives:
\(6.50h + 16 = 7.50h + 10\)
Collect Like Terms
\(7.50h - 6.50h = 16 - 10\)
\(h = 6\)
Hence, number of hours is 6
The San Francisco Giants won 39 more games than the St. Louis
Cardinals. The Giants won 101 games. How many games did the
Cardinals win?
Let c = number of games the Cardinals won.
(A) C - 39 = 101
(B) C + 39 = 101
(C) 101 + 39
What is the rate of change (as a %) if the number of employees in a company decreases from 136 to 84?
Answer:
38.2%
Step-by-step explanation:
Given data
Initial number= 136
FInal number= 84
%dcrease= initial-final/initial*100
%dcrease= 136-84/136*100
%dcrease= 52/136*100
%dcrease=0.382*100
%dcrease=38.2%
Hence the decrease is 38.2%
In missys sports card collection, 3/4 of the cards are baseball cards. In franks collection, 8/12 are baseball cards. Frank says they have the same fraction of baseball cards. Is he correct?
Answer:
no
Step-by-step explanation:
3/4 x 3 = 9/12 not 8/12 you have to find a common denomanotor to check and 4x3 equal 12.
Dennis is growing tomatoes in his backyard. In one row of his garden, he has 8 plants. Each plant is separated from the next plant by 1.5 feet of space. Ignoring the width of each plant stem, what is the distance from the first plant to the last plant, in feet?
the distance from the first plant to the last plant, ignoring the width of each plant stem, is 10.5 feet.
Why is it?
To find the distance from the first plant to the last plant, we need to add up the distances between each adjacent pair of plants. Since there are 8 plants, there are 7 pairs of adjacent plants, and each pair is separated by 1.5 feet.
So, the total distance from the first plant to the last plant is:
7 ×1.5 = 10.5 feet
Therefore, the distance from the first plant to the last plant, ignoring the width of each plant stem, is 10.5 feet.
Distance refers to the measurement of the physical space between two points or objects. It is a scalar quantity that only considers the magnitude of the separation between two points and does not take into account the direction of the separation.
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A scale drawing of a square has a side length of 5 centimeters. The drawing has a scale of 1 cm : 5 ft. Find the actual perimeter and area of the square.
area =729 feet square and perimeter = 108 feet
Given the side of a square is 9 cm.
The scale is given as :
1 cm = 3 feet Since 1 cm represents 3 feet.
Therefore, 9 cm will represent = 9 x 3 feet= 27 feet
So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square
And the perimeter = 4 x side= 4 x 27= 108 feet
What is perimeter?In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches. For instance, 16 in or 16" can be used to write 5 inches. In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equivalent to 1/12 of a foot or 1/36 of a yard. a unit of length that is equivalent to 1/12 foot, or 2.54 centimeters, in length. In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches.To learn more about perimeter refer to:
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Janet needs to paint the walls of a room shaped like a
rectangular prism. The room
has a length of 10 ft., a width of 15 ft, and a height of 8 ft. How much paint does she need to cover the
To solve this problem, we will use the formula of rectangular prism surface area.
The formula is:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
So we will put in all the numbers.
A=2((15)(10)+(8)(10)+(8)(15))
Multiple all the numbers inside:
A=2(150+80+120)
Add all the numbers inside:
A=2(350)
Multiply:
A=700ft^2
Hope this helped!
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
\(C=2\pi r\) (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
\(C=2(3.14)(2)\)
\(C=4 \pi\) or 12.57 ft (2.d.p)
Which of the following represents 20 = 5 x 4
A. 5 is 4 times as many as 20
B. 20 is 2 times as many as 10
C. 4 is 5 times as many as 20
D. 20 is 5 times as many as 4
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the answer is d because
20 is "=" 5 times "×" as 4
so the formula derived is
20= 5x4
is represents =
times represents ×
hope you get it
Can someone help with this? I don't understand how to find the answer
3(k − 99) = –60
k = ______
Answer:
k = 79
Step-by-step explanation:
3(k-99) = -60
(k-99) = -20
k= -20+99
k=79
6. If a refrigerator has a mass of 750 kg and a volume of 600 mL, what is it's density?
Answer:
\( \sf \rho \: = 1.25\)
Step-by-step explanation:
Density, is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:
\({\displaystyle \rho ={\frac {m}{V}}} \)
where ρ is the density, m is the mass, and V is the volume.
\( \sf \rho = \frac{750}{600} \)
\( \sf \rho \: = 1.25\)
Therefore, density is equal to 1.25
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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what does 14a and 5b and 2a and 10b mean
Answer:
16a+15b
Step-by-step explanation:
Just like addition
Answer:
They are variables
Step-by-step explanation:
zhsineidhwvd
A soda factory makes 9 flavors of soda. Each case of soda has 5 cans of each flavor. They produce enough soda to fill 7 cases per hour, 14 hours a day. How many cans of soda does the factory produce in 6 days?
26,460 cans of soda
Step-by-step explanation:
First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460
the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95% confidence? We would like to be accurate to within three years, and we will assume the population is normally distributed with a standard deviation of 5.1 years. a. 12 b. 23 c. 204 d. 8
Answer:
The sample size should be:
c. 204
Step-by-step explanation:
This is based on the assumption that in this campus, there are no more than 2040 students. The sample size should be around 10% of the population, which is considered a good representative of the real population for the specific study. If, however, the population is so large that 10% of the population will be more than 1,000, then the sample size should be limited to 1,000.
Please help!! Correct answer gets brainliest!!
Graph B is correct and shows the rectangular opening.
Looking at the text the question, I notice that each unit means 1 inch. After looking at all the graphs, I found out that B was the correct answer because of the sides. The sides are five inches by two inches and it was the only graph that had these units.
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Answer: Option B.
Step-by-step explanation:
With the scale of one unit equalling one inch, the only answer option that meets the given requirement of having side lengths that are 5 inches and 2 inches is option B.
Answer A is 4 units by 2 units, Answer B is the needed 5 units by 2 units, Answer C is 7 units by 2 units, and Answer D is 6 units by 2 units. This leaves us with Answer B.
PLEASEEEEE HELP MEEEEEE
Answer:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
Step-by-step explanation:
To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.
Given:
Cruise ship velocity (south): 22 mph
Gulf Stream velocity (east): 4 mph
A) Vector component for the cruise ship:
The cruise ship is traveling south, so its velocity vector is (0, -22).
B) Vector component for the Gulf Stream:
The Gulf Stream is flowing east, so its velocity vector is (4, 0).
C) Resultant vector:
To find the resultant vector, we'll add the two velocity vectors together:
Resultant vector = Cruise ship velocity + Gulf Stream velocity
Resultant vector = (0, -22) + (4, 0)
Resultant vector = (0 + 4, -22 + 0)
Resultant vector = (4, -22)
D) Resultant velocity:
The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:
Resultant velocity = sqrt((x-component)^2 + (y-component)^2)
Resultant velocity = sqrt((4)^2 + (-22)^2)
Resultant velocity = sqrt(16 + 484)
Resultant velocity = sqrt(500)
Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)
E) Resultant direction:
The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.
Resultant direction = arctan(y-component / x-component)
Resultant direction = arctan(-22 / 4)
Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)
Therefore, the answers are:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Mrs. Hanson should order equal numbers of each type of shirt.
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Less than 25% of Mrs. Hanson's order should be polo shirts.
Mrs. Hanson should order 50% fewer v-neck shirts than polo shirts.
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
need help with this question
Answer:
the anwser is b
Step-by-step explanation
you need to replace the letters with the numbers and youll see
The cost of 3 pounds of grapes is 6.57$. What is the cost of 2 pounds of grapes? Please help! I’ll give brainly.