Answer:A
Step-by-step explanation:
because for every 1 added to X it adds 2 to Y
Raven and Tyler are selling their cups of hot chocolate for $2.25. They sold 11 cups. They are also selling candy canes on the side for $0.75. They spent $7.50 on supplies that they will have to pay back to the bank. How much profit did Raven and Tyler make at their hot chocolate shop?
The total profits made from the sales at their hot chocolate shop is 26.15 dollars .
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Raven and Tyler are selling their cups of hot chocolate for $2.25.
They sold 11 cups. They are also selling candy canes on the side for $0.75 and spent $7.50 on supplies that they will have to pay back to the bank.
Therefore, the profit they make in small cups can be calculated as:
The amount sold in small cups = 2.25 × 11 = 24.75 dollars
The amount sold in large cups = 22 × 1.50 = 33 dollars
Therefore,
The profits made = 36 - 9.85 = 26.15 dollars
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Zachary recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
7
14
15
9
Eighth Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
2
15
2
11
Based on these results, express the probability that an eighth grader chosen at
random will play the drums as a percent to the nearest whole number.
Percent to the nearest whole number = 7%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Probability = (Number of possible outcomes)/(Total number of outcomes)
Total number of outcomes = 2 + 15 + 2 + 11 = 30
Number of possible outcomes = 2
Probability = 2/30 = 1/15 = 0.0666
Percent to the nearest whole number = 0.0666 *100 = 7%
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Answer:7
Step-by-step explanation:
A scientist uses a submarine to study ocean life. She begins at sea level, which is an elevation of 0 feet. She travels down 21.1 feet. She then ascends 19.1 feet. Next, she travels down a second time, 80.7 feet. How many feet must she now ascend to get back to sea level?
Based on the elevation of the scientist after descending and traveling directly up, the number of feet she needs to ascend to get to sea level will be; 82.7 feet.
How to find the elevation?To find the number of feet that the scientist needs to travel up to get back to sea level, you need to find her current elevation.
The current elevation of the scientist is:
= 0 - 21.1 + 19.1 + 80.7
= 82.7 feet
In other words, the scientist is 82.7 feet below sea level.
To get back to sea level therefore, the scientist will need to travel 82.7 feet directly up.
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Give the VC dimension of these hypothesis spaces, briefly explaining your answers: 1. An origin-centered circle (2D) 2. An origin-centered sphere (3D)
Note that:
An origin-centered circle in 2D has a VC dimension of 3.An origin-centered sphere in 3D has a VC dimension of 4.What is the rationale for the above response?An origin-centered circle in 2D has a VC dimension of 3. This means that the circle can shatter any set of 3 points, but not any set of 4 points. In other words, there exists a set of 3 points that can be shattered by the circle, but for any set of 4 points, there exists at least one labeling of the points that the circle cannot produce.
An origin-centered sphere in 3D has a VC dimension of 4. This means that the sphere can shatter any set of 4 points, but not any set of 5 points. In other words, there exists a set of 4 points that can be shattered by the sphere, but for any set of 5 points, there exists at least one labeling of the points that the sphere cannot produce.
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URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answer:
I think the answer is 720!
Step-by-step explanation:
if tan68° = 1/m, express the following in terms of m:
1. tan22°
Translate this sentence into an equation.
The product of 3 and Vidya's height is 54.
Use the variable v to represent Vidya's height.
Th equation is \(3v=54\\\).
Given,
product of 3 and vidya's height is 54
v is represented as vidya's height.
Representation of equation is as follows:
The product of 3 and vidya's height can be written as \(3*v=3v\)
and their product is 54,
\(3v=54\).
Thus, the equation is \(3v=54\\\).
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Which is the correct trigonometric substitution for evaluating
The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.
How did we get the correct trigonometric substitution?To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.
Let's go through the steps to see how this substitution leads us to the solution:
1. Substitute x = 8 tan θ.
This implies dx = 8 sec² θ dθ.
2. Substitute the expression for x and dx in the integral:
∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.
3. Simplify the expression:
∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.
4. Further simplify:
∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.
5. Simplify the expression inside the square root:
∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.
6. Integrate with respect to θ:
∫64sec³ θ dθ = 64∫sec³ θ dθ.
Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.
The correct answer is B. x = 8 tan θ.
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Sara and Collin's ages add up to 85. Sara is ten years older than foustimes
Collin's age. How old are Sara and Collin?
Answer:
Collin is 37.5 and Sara is 47.5
Step-by-step explanation:
s+c=85
c+10=s
(c+10)+c=85
2c+10=85
2c=75
c=37.5
s+(37.5)=85
s=47.5
Which statement best describes an infinite geometric sequence?
a. The sequence contains a limited number of terms, and there is a common difference between the terms.
b. The sequence continues without end, and there is a common difference between the consecutive terms.
c. The sequence contains a limited number of terms, and there is a common ratio difference between the consecutive terms.
d. The sequence continues without end, and there is a common ratio between the consecutive terms.
The answer is D. The sequence continues without end, and there is a common ratio between the consecutive terms.
From the definition of an infinite geometric sequence, An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term.
Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.
Answer:
sOrRy BoW nEeD SoMe PoInTs Bow
Step-by-step explanation:
What is the value of the unknown angle (2x)
Answer:
2x = 44
Step-by-step explanation:
115+94+107+2x = 360
2x = 360 -316 = 44
x = 22
Answer:
Step-by-step explanation:
115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)
2x+316=360
2x=360-316
x=44/2
x=22
substitute the value of x in 2x
=2x
=2*22
=44
Diane is jogging from her house to school. Her school is 3 5/8 miles from her house. She has gone 1/4 miles so far how many miles does Diane still have to jog. Write your answer as a mixed number in simplest form.
Answer:
3 3/8
Step-by-step explanation:
3.5/8 - 1/4 = 3 5/ 8 - 2/8 = 3 3/8
Find the area of the triangle.
18 in.
25 in.
Answer: i hope you pass that quiz
Step-by-step explanation:
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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Consider the matrix.[k q h][w p r]Which statement is true?A. The matrix has 2 rows and 2 columns.B. The matrix has 2 rows and 3 columns.C. The matrix has 3 rows and 2 columns.D. The matrix has 3 rows and 3 columns.
Help me 6th grade math :)
We know that the ratio of wooden bats to metal bats is 2:1. We also know that there are 20 wooden bats.
What we need to knowWe need to know how many metal bats there are.
Show your workSince 20 of the bats are wooden, that covers the 2. Using common knowledge, we know that this ratio is in the tenths. If the 2 is equal to 20 then the 1 is equal to 10.
AnswerThere are 10 metal bats.
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10 bro- bc 20 divided by 2 is 10 .,. easy math y-y
the perimeter of a rectangle is 5x and its length 3/2 x. if the area of the rectangle is 294, what is the value of x?
Answer:
x=14
Step-by-step explanation:
A = (l)(w) 294 = ((3/2)x)(w)w = 196/xP = 2l + 2w5x = 2((3/2)x) + 2w
5x = 2((3/2)x) + 2(196/x)
x = 14, -14
-since negative values can't be used for side lengths,
x is just 14.
You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?
$3,125.00
$131,250
$13,125.00
$312.50
Answer:
$13,125
Step-by-step explanation:
The value of the interest that will accrue on this loan will be;
⇒ $13,125
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You and your family are planning a vacation of a lifetime around the world that will cost $25,000.
And, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Now,
Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Hence, The total interest amount after five years is,
⇒ 5 × (10.5% of $25,000)
⇒ 5 × (10.5/100 × 25,000)
⇒ 5 × 2,625
⇒ $13,125
Thus, The total interest amount after five years = $13,125
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PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
Solve if x=11, x+ 44/22
Answer:
Step-by-step explanation:
1st substitute x with 11
(11)+44/22
2nd divide 44 and 22
11+2
3rd add
13
Hope this helps!!!
Have a great day!!!
Using rational numbers how do you solve -37 + (-64)
Answer:
-101
Step-by-step explanation:
An addition sign in front of the negative number means to subtract that number.
Another way to write -37 + (-64) is:
-37 - 64
-37 - 64 = -101
A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
Assume a normal distribution and that the average phone call in a certain town lasted 7 min, with a standard deviation of 1 min. What percentage of the calls lasted less than 6 min?
Answer:
16%
Step-by-step explanation:
First, find the z-score.
z = (x − μ) / σ
z = (6 − 7) / 1
z = -1
Use a chart, a calculator, or the empirical rule to find the probability.
Using the empirical rule:
P(Z < -1) = 0.5 − 0.34
P(Z < -1) = 0.16
The percentage is 16%
How do I calculate a percentage between two numbers?To calculate the share between two numbers, divide one variety by way of the opposite and multiply the end result by way of one hundred, e.g. (30 / 75) * 100. This indicates what percent the first number is of the second one, in the example - 30 is 40% of 75.
In mathematics, a percent is more than a few or a ratio expressed as a fragment of 100. It is regularly denoted using the percentage signal, "%", although the abbreviations "pct.", "pct" and from time to time "pc" also are used. A percentage is a dimensionless number; it has no unit of size.
First, discover the z-rating.
z = (x − μ) / σ
z = (6 − 7) / 1
z = -1
Use a chart, a calculator, or the empirical rule to discover the chance.
using the empirical rule:
P(Z < -1) = 0.5 − zero.34
P(Z < -1) = 0.16
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fill in the blank. counting 67 colonies on a plate with 1ml of the 1:1,000,000 dilution indicates that___bacteria were present in 1ml of the original sample.
By applying the unitary method, counting 67 colonies on a plate with 1ml of the 1:1,000,000 dilution indicates that 67,000,000 bacteria were present in 1ml of the original sample.
The unitary method is a mathematical technique that involves finding a unit value and using it to solve problems. In this case, we need to determine the number of bacteria present in 1ml of the original sample.
The dilution factor represents the ratio of the volume of the original sample to the volume of the diluted sample. In this case, the dilution factor is 1:1,000,000, which means that 1ml of the original sample was diluted with 1,000,000ml of a diluent solution to obtain 1ml of the diluted sample. Therefore, the number of bacteria in the original sample is 1,000,000 times the number of bacteria in the diluted sample.
Now, let's use the colony count to determine the number of bacteria in the diluted sample. We are told that 67 colonies were counted on the plate with 1ml of the 1:1,000,000 dilution. This means that each colony represents the growth of a single bacterium in the diluted sample. Therefore, the number of bacteria in the diluted sample is 67.
Using the unitary method, we can now determine the number of bacteria in 1ml of the original sample. We know that the number of bacteria in the original sample is 1,000,000 times the number of bacteria in the diluted sample. Therefore:
Number of bacteria in original sample = Dilution factor x Number of bacteria in diluted sample
Number of bacteria in original sample = 1,000,000 x 67
Number of bacteria in original sample = 67,000,000
So, the answer is that 67,000,000 bacteria were present in 1ml of the original sample.
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estimate the number 4576
Nearest 1000: 5000
Nearest 100: 4600
Nearest 10: 4580
Hope that helped!!! k
------------------------------------------------------------------------------------------
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
Please help me answer part a and b. Thanks!
Therefore, Coastal Cove will have a higher temperature at 3:00 pm.
What is temperature?Temperature is a measure of the degree of hotness or coldness of an object or a substance. It is a physical quantity that is measured using a thermometer, and is typically expressed in units such as degrees Celsius (°C) or Fahrenheit (°F), or in the Kelvin (K) scale.
Temperature is a result of the average kinetic energy of the molecules or particles in a substance. When molecules or particles have a high kinetic energy, they move faster and collide more frequently, resulting in a higher temperature. Conversely, when molecules or particles have a low kinetic energy, they move more slowly and collide less frequently, resulting in a lower temperature.
Temperature is an important property in many scientific and engineering fields, such as thermodynamics, meteorology, and materials science. It is also important in everyday life for tasks such as cooking, heating and cooling homes and buildings, and monitoring body temperature for health purposes.
Part A: To find an exponential function that approximates the data on the table, we can use the exponential regression function on a calculator or software. Here is one possible exponential function that fits the data:
\(g(x) = 2.331(1.102)^x\)
where x represents the number of hours since 6:00 am and g(x) represents the temperature in °F.
Part B: To compare the temperatures at 3:00 pm, we need to evaluate the temperature function for each town at x=9 (since 3:00 pm is 9 hours after 6:00 am).
For Coastal Cove:
\(f(9) = 84(1.01)^9\) ≈ 100.63°F
For Inland burgh:
\(g(9) = 2.331(1.102)^9\) ≈ 98.77°F
Therefore, Coastal Cove will have a higher temperature at 3:00 pm.
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U and V are similar figures. The scale factor of V to U is 5 : 1. What would be the area of figure U, if the area of figure V is 75 square yards?answer choices75 square yards9 square yards3 square yards15 square yards
The area of the figure/geometric shape U will be 15 yard^2.
What are geometric shapes in mathematics?
In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.
Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic.
In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc. In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on.
Now
As the scale factor for similar shapes V and U is 5:1.
Then their area should also be in same ratio.
Given Area of V=75 square yard
Therefore,
Area of U=75/5
Area of U =15 square yard
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Helpppppppp meeeeeeee
Answer:
Step-by-step explanation:
solution 1:
570 not man = 15% (cause 100% - 85%)
15% = 570
100% = w (for "whole package")
15w = 100 * 570
15w = 57000
w = 57000 / 15
w = 3800
solution 2:
15% = 570
85 = m (for "men)
15m = 570 * 85
15m = 48450
m = 48450 / 15
m = 3230
100% = 85% + 15%
100% = b (for "buch of people")
b = 3230 + 570
b = 3800