Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
person eats per day.
4
Fruit Servings
0
4
Vegetable Servings
Matt is one of the people surveyed. He is considered an outlier in this data.
Which statement describes Matt's data relative to the general pattern of the data?
Answer:b
Step-by-step explanation:
It b
The statement describes Matt's data relative to the general pattern of the data.option B is correct.
We have given that,
Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
A person eats per day.
Fruit Servings Vegetable Servings
4 0
- 4
Matt is one of the people surveyed. He is considered an outlier in this data.
What is the scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.
From the given scatter plot we can say that option B is correct.
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What is the volume?
7 mm
7 mm
1 mm
Answer:
(7)(7)(1)=49 mm^3
Step-by-step explanation:
Answer:
49mm³
Step-by-step explanation:
\(v = 7mm \times 7mm \times 1mm = 49m {m}^{3} \)
Austin takes1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is
/
radians per second.
Austin's rate of motion is (1/70)π Radians per second.
To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:
ω = Δθ / Δt
Where:
ω = angular velocity (in radians per second)
Δθ = change in angular displacement (in radians)
Δt = change in time (in seconds)
We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:
s = (3/4) * 2πr
s = (3/2)πr
We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).
So, Δt = 105 seconds
Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:
Δθ = (3/4) * 2π
Δθ = (3/2)π
Therefore, Austin's rate of motion (ω) in radians per second is:
ω = Δθ / Δt
ω = [(3/2)π] / 105
ω = (3/210)π
ω = (1/70)π radians per second
So, Austin's rate of motion is (1/70)π radians per second.
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Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
watch one piece
you want my treasure, you can have it I left everything I gathered together in one place. Now you'll just have to find it
Saif by roger
Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)
Answer:
its B homie
Step-by-step explanation:
U stuped
Solve the following inequality using an algebraic approach:
-4 < 3x+5<11
Answer:
-3 < x < 2
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality
Find the distance between the parallel lines y=x-5 and y=x+6
Answer:
11
Step-by-step explanation:
i don't know
Windsor the dog ate 4 3/4 snack bones each day for a week . How many bones did Windsor eat that week ?
Answer:
4*3/4* 7=21 bones per week
Answer:
= 4 ¾ × 7
= 33.25 snack bones
in a lab experiment, a population of 200 bacteria is able to quadruple every hour. Which equation matches the number of bacteria in the population after 2 hours?
The equation that gives the number of bacteria in the population after 2 hours is -
P{ 2 } = 260 + (1/4 x 260)
What is exponential function?The exponential function is given by -
y = eˣ
Given is that in a lab experiment, a population of 200 bacteria is able to quadruple every hour.
The population of the bacteria after the first hour is -
P{ 1 } = 200 + (1/4 x 200) = 200 + 60 = 260 bacterias.
The population of the bacteria after the second hour is -
P{ 2 } = 260 + (1/4 x 260) = 260 + 65 = 325 bacterias
After the second hour, the population of the bacteria would be -
P{ 2 } = 260 + (1/4 x 260)
Therefore, the equation that gives the number of bacteria in the population after 2 hours is -
P{ 2 } = 260 + (1/4 x 260)
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Solve a=b+3/c-2 for c
Answer:
c = 3 / a − b + 2
Explanation:
[ Step 1: Multiply both sides by c ]
ac = bc − 2c + 3
[ Step 2: Add -bc to both sides ]
ac + −bc = bc − 2c + 3 + −bc
ac − bc = −2c + 3
[ Step 3: Add 2c to both sides ]
ac − bc + 2c = −2c + 3 + 2c
ac − bc + 2c = 3
[ Step 4: Factor out variable c ]
c(a − b + 2) = 3
[ Step 5: Divide both sides by a - b + 2 ]
c(a − b + 2) / a − b + 2 = 3 / a − b + 2
c = 3 / a − b + 2
Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!
Answer:
1. x = 65
2. x = 40
3. x = -7
4. x = -4
5. x = -7
6. x = 4
Step-by-step explanation:
Angles in a triangle always add up to 180 degrees.
Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.
1. 180 = 80 + 35 + x
180 - (80 + 35) = x
180 - 115 = x
65 = x
2. 180 = 70 + 70 + x
180 - (70 + 70) = x
180 - 140 = x
40 = x
3. 180 = 76 + 41 + (x+ 70)
180 - (76 + 41) = x + 70
180 - 117 = x + 70
63 = x + 70
63 - 70 = x
-7 = x
4. (the red square means its a right angle = 90 degrees)
180 = 90 + 25 + (x + 69)
180 - (90 + 25) = x + 69
180 - 115 = x + 69
65 = x + 69
65 - 69 = x
x = -4
5. 180 = 50 + (57 +x) + (x + 87)
180 - 50 = (57 +x) + (x + 87)
130 = (57 +x) + (x + 87)
combine like terms
130 = 144 + 2x
130 - 144 = 2x
-14 = 2x
-7 = x
6. 180 = 80 + (9x + 4) + (16x - 4)
180 - 80 = (9x + 4) + (16x - 4)
100 = (9x + 4) + (16x - 4)
combine like terms
100 = 25x + 0
100 = 25x
4 = x
2. The diagram above shows a wooden structure in the form of a cone mounted on hemispherical base. The vertical height of the cone is 24cm and the base 7cm. Calculate correct to 3 significant figures the surface area of the structure. (Take π= 22/7)
The surface area of the wooden structure is approximately 1012 cm².
To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.
Surface Area of the Cone:
The surface area of a cone is given by the formula:
A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.
The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:
\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)
Using the given measurements:
\(s_{cone\) = √(7² + 24²) cm
\(s_{cone\) ≈ √(49 + 576) cm
\(s_{cone\) ≈ √625 cm
\(s_{cone\) ≈ 25 cm
Now, we can calculate the surface area of the cone:
\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)
\(A_{cone\) = (22/7) × 7 cm × 32 cm
\(A_{cone\) = 704 cm²
Surface Area of the Hemispherical Base:
The surface area of a hemisphere is given by the formula:
\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.
Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:
\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²
\(A_{hemisphere\) = (22/7) × 2 × 49 cm²
\(A_{hemisphere\) = 308 cm²
Total Surface Area:
To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:
Total Surface Area = \(A_{cone} + A_{hemisphere}\)
Total Surface Area = 704 cm² + 308 cm²
Total Surface Area = 1012 cm²
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what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
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If 2/3 cup is 260 calories how many calories is 1/4 cup
Answer:
So 1/4th cup would be 97.5 calories
1 whole cup would make 390 calories so then just divide that by 4 and you have 97.5
What fraction of 2 minutes is 6
seconds?
Answer:
1/20 of 2 minutes = 6 seconds
Answer:
1/20; 0.05; 5%
Step-by-step explanation:
Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%
PLEASE HELP ME!!!!! The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.
(a) Write a direct variation equation to represent the cost.
(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation.
(c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.
Answer:
Step-by-step explanation:
When 30% of a number is added to the number, the result is 156. what is the number?
Answer: 120
Step-by-step explanation:
Let the number = x.
Setting up the equation, we get
x+0.3*x = 156
1.3x = 156
x = 120
Answer:
120
Step-by-step explanation:
x= the number
x+0.3*x = 156
1.3x = 156
x = 120
hope this helps
4 Four boys and five girls went to the movies together. Between them they
had $120 to spend. Tickets cost $8 each. How much money did they have
to buy refreshments?
Look at this rectangle. Find the value of t.
Answer:
t=8
Step-by-step explanation:
t=8 is your answer
If you need solution do let me know in the comments
Please help me I really need help
Answer:
-18,24=2x so x=2
This should help
QUESTION ON PIC BRAINLIEST THANK YOU!
Answer:
1, 3, 9, 27
Step-by-step explanation:
1 times 27 = 27
3 times 9 = 27
9 times 3 = 27
27 times 1 = 27
hope this helps!!!
Answer:
1, 3, 9, 27
Step-by-step explanation:
27 = 3³
The factors of 27 are:
1, 3, 9, 27
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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Compare each pair of expressions using >, <, or =.
.-32
. |-32|
5 -5
15
___|15|
. |5|_____|-5|
2-17
▾
2 ____ |-17|
. |-27|_____|-45|
.-27______-45
Comparing each pair of expressions using >, <, or = is given below:
15 > |___15| (because |___15| is equal to 15)2 - 17 < ▾ (because 2 - 17 equals -15, which is less than the square root symbol)-27 > -45 (because -27 is closer to zero than -45)'How to solve-32 < |-32| (because -32 is negative and |-32| is positive)
5 - 5 = 0 (because subtracting the same number results in zero)
15 > |___15| (because |___15| is equal to 15)
|5| = |___|-5|| (because both expressions are equal to 5)
2 - 17 < ▾ (because 2 - 17 equals -15, which is less than the square root symbol)
2 > |____|-17|| (because 2 is positive and |-17| is also positive)
|-27| > ||-45|| (because |-27| is 27 and ||-45|| is 45)
-27 > -45 (because -27 is closer to zero than -45)
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A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses what is the answer?
Answer:
96 people
Step-by-step explanation:
Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
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PLEASE HELP WILL GIVE BRAINLIEST
A Which point is located at (-0.50,-1.25)? 1.0 Point 50 B 0 -1.0 - 50 50 1.0 C 50 -1.0 D
Answer:
Answer attached
Step-by-step explanation:
Answer:
it is d
Step-by-step explanation:
i took this
Help me solve these two problems! Show the work
Answer:
see explanation
Step-by-step explanation:
2
4x² + 64 ← factor out the common factor of 4 from each term
= 4(x² + 16)
3
(a - 10)² = 121 ( take square root of both sides )
a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )
a = 10 ± 11
then
a = 10 - 11 = - 1
a = 10 + 11 = 21
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEE, i need it now.
How did British actions after the French and Indian War create problems among the colonists?