we try to write the statements in mathematical expression
the sum of the prices of tomatoes and peppers must be less than or equal to 5
so
\(0.5p+1.25t\le5\)tarting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of
feet.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is
feet.
Answer:
Calloway Peak is 6,464 Feet. And Flat Rock is 4061.5 Feet
Step-by-step explanation:
For Calloway Peak Started at 0 so 4646.4+1817.6=6,464
Zen then descends which means he walked back down 2402.5 feet.
To find Flat Rock you subtract the height of Calloway Peak by 2402.5 the amount that he walked back down to get how tall Flat Rock is in Feet
6464-2402.5=4061.5 Feet
So Flat Rock is 4061.5 Feet tall.
2x2 - 8xy - 2y2 for x = 6 and y = 5
Answer:
-236
Step-by-step explanation:
Step 1 (plug in x and y): \((2)(6)(2)-(8)(6)(5)-(2)(5)(2)=\)
Step 2 simplify): \((24)-(240)-(20)\)
Step 3 (evaluate): \(-236\)
a floor that is 15 15 feet by 12 feet is being covered by tiles that are 1.5 feet by 1.5 feet. which is the best represents the number of tiles that will be needed
The best representation of the number of tiles that will be needed to cover the Floor is 80 tiles.
The number of tiles needed to cover the floor, we can calculate the total area of the floor and divide it by the area of each tile.
The area of the floor is given by the product of its length and width: 15 feet * 12 feet = 180 square feet.
The area of each tile is given by the product of its length and width: 1.5 feet * 1.5 feet = 2.25 square feet.
To find the number of tiles needed, we divide the total area of the floor by the area of each tile:
Number of tiles = (Total area of the floor) / (Area of each tile) = 180 square feet / 2.25 square feet = 80 tiles.
therefore, the best representation of the number of tiles that will be needed to cover the floor is 80 tiles.
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I NEED HELP 30 POINT!!
Answer:
35
Step-by-step explanation:
You can easily graph this in desmos for a visual understanding.
The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.
A line passes through the point (1,5) and has a slope of 7
Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.
The equation of a line in the point-slope form is given by the following equation:
y-y_1 = m(x-x_1)
where m is the slope of the line and (x1, y1) is any point on the line.
Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:
y-5 = 7(x-1)
Expanding the right-hand side of the equation gives:
y-5 = 7x-7
Adding 5 to both sides of the equation gives:
y = 7x-2
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Round 45,621 to the nearest hundred?
Answer:
45,600
Step-by-step explanation:
you just round it :)
Answer: 45,600
Step-by-step explanation: easy, round down
Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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58 students on a bus how many students were fit on a six buses
Answer:
348
Step-by-step explanation:
what is the equation for the perpendicular bisector of the line segment whose endpoints are (-7, 2) and (-1,-6)
The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.
To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.
Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)
= (-8/2, -4/2)
= (-4, -2)
The midpoint of the line segment is (-4, -2).
Next, we need to find the slope of the line segment using the slope formula:
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 2)/(-1 - (-7))
= (-6 - 2)/(-1 + 7)
= (-8)/(6)
= -4/3
The slope of the line segment is -4/3.
Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.
Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4)
y + 2 = (3/4)x + 3
y = (3/4)x + 1.
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A segment of length 94cm has been rotated d degrees around a center 0. What length of the rotated segment?
Answer:
94cm
Step-by-step explanation:
Balloon A is released 5 feet above the ground. Balloon B is released at ground level. Both balloons rise at a constant rate. Which situation can you represent using an equation of the form y = kx? Explain.
Table for Balloon A shows that the balloon reaches 9ft in 1s, 13ft in 2s, 17ft in 3s. Table for Balloon B shows that the balloon reaches 4ft in 1s, 8ft in 2s and 12ft in 3s.
Answer: Balloon B
Step-by-step explanation:
The distance, in feet, is always four times the time, in seconds.
The graph of the function f(x) = (x − 3)(x + 1) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (3, 0).
Which describes all of the values for which the graph is positive and decreasing?
all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Which describes all of the values for which the graph is positive and decreasing?The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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How far above ground is the top of the pole?
Answer:
I would say about 7 feet and 1 inch
Step-by-step explanation:
If QR = 8, RS = x + 2, and QS = 6x, what is QS?
Answer:
QS = 12
Step-by-step explanation:
Hello!
We can see that QS is the sum of QR and RS, which is equal to 6x.
We can substitute the given values to solve for x, and then use that to find QS.
Solve for xQS = QR + RS6x = 8 + x + 2 Substitute values6x = 10 + x Combine like terms5x = 10 Subtract xx = 2 Divide by 2The value of x is 2. We can now find QS by substituting 2 for x in 6x.
QS = 12.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!
Is 1/8- 10 (3/4-3/8x) +5/8x equivalent to -1/8(59 - 35x)? EXPLAIN and show your work.
Step-by-step explanation:
i think u had done something wrong in equation
peaceful travel agency offers vacation packages each vacation packages includes a city, and a airline.The agency has 6 cities, and 2 airlines to choose from.how many different vacation packages do they offer
Solving the given word problem systematically, Serene Travel Organization offers 12 diverse vacation packages.
How to Solve the Problem?To calculate the overall number of distinctive excursion packages that Quiet Travel Organization offers, we ought to duplicate the number of cities by the number of carriers:
Add up to number of get-away bundles = number of cities x number of airlines
Since the agency has 6 cities and 2 aircrafts to select from, we are able substitute those values within the over equation:
Add up to number of get-away bundles = 6 x 2 = 12
In this manner, Serene Travel Organization offers 12 diverse get-away bundles.
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find the area of the parallelogram. The figure is not drawn to scale.
Answer:
1330 in.
Step-by-step explanation:
38 x 35 = 1330
Answer:
1330
Step-by-step explanation:
area = b x h
base (38)
height (35)
38 x 35 = 1330
A rule of a sequence is divide by 2. The third term of a sequence is 3. What is the first term
Answer:
Answer is 12
Step-by-step explanation:
I hope it's helpful!
Twenty four blood samples were selected by taking every seventh blood sample from racks holding 199 blood samples from the morning draw at a medical center ANSWER BOTH A AND B
a. FPCF for this sample is FPCF = √(199/24) = 2.89.
b. The population cannot be considered effectively infinite, so the answer is no.
What is FPCF?When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.
The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.
a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:
FPCF = √(N/n)
where N is the population size, and n is the sample size.
In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).
FPCF = √(199/24) = 2.89 (rounded to two decimal places)
b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.
In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.
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The function h(x) is a transformation of the square root parent function,
f(t) = t. What function is H(x)?
Answer:
A. \(h(x)=\sqrt{x-3}\)
Step-by-step explanation:
Step 1: DefinitionThe parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).
If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).
Step 2: ImplementationHere the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
\(h(x)=\sqrt{x-3}\)
Question in picture below
Answer:
f(x) = 3sin(3.1416(x +4)/7)
Step-by-step explanation:
You want the equation of a sine function with an amplitude of 3 and having one cycle between the points (-11, 0) and (3, 0), where it has negative slope.
EquationThe equation will generally be of the form ...
f(x) = (amplitude)·sin(2π/(period)·(x-(horizontal translation)))
ApplicationHere, the amplitude is 3 units, the period is (3 -(-11)) = 14 units, and the horizontal translation from the origin to the positive-going midline crossing is 4 units to the left.
Then f(x) is ...
f(x) = 3·sin(2π/14(x -(-4))
f(x) = 3·sin(3.1416/7(x +4))
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Roger hiked 7 ½ miles in 3 hours. At this constant rate, how many miles can he hike in 1 hour?
Answer: 2.5 mi/hr. 7.5/3= 2.5
Step-by-step explanation:
Casey is using a recipe that requires 2/3 Cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk how many cups of flour are needed
Answer:
15 cups of flour
Step-by-step explanation:
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
Trey made a scale drawling of a micro chip using a scale of 2 inches long and 4inches wide
Answer:
Perimeter- 12 inches
Area- 8 inches
Shape- Rectangle
(I didn't know what the question was)
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
Malek sets out for a hike at 8.00 am and returns at 17:15.
How long was Malek hiking for?
hours and
minutes
Answer:
9 hours and 15 mins
Step-by-step explanation:
17 - 8 (time calculation)
Wind speed varies in the first twenty meters above the ground. For a particular day, let compute the wind speed above the ground. What is the wind speed above the ground
Answer:
7.61 meters per second
Step-by-step explanation:
The speed of the wind at x meter i.e. above the ground should be
f(x) = 1.5 ln x + 5.2
Now to determine the wind speed at 5 meters above the ground substitute
i.e.
x = 5 for the above function
= 1.5 ln (5) + 5.2
= 7.61
So the speed of the wind above the ground is 7.61 meters per second
And the same is to be considered
A jar of peanut butter contains 50 tablespoons of peanut butter.
How many sandwiches can you make from the jar of peanut butter, assuming you have plenty of bread and jelly?
A. 25 sandwiches
B. 9 sandwiches
C. 10 sandwiches
D. 50 sandwiches
Answer:
the correct answer is A. 25 sandwiches.
Step-by-step explanation:
Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.
Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.
So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.
Therefore, the correct answer is A. 25 sandwiches.
Answer: 25
Step-by-step explanation:
We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.
2+2...=50