Answer:
6 girls were there are first
Step-by-step explanation:
use trial and error. divide 1200 by a random number like 10, and see how much they each had to pay. If we guessed 10, then each girl would hypothetically pay 120 pounds. If four girls left, then 1200/6 would be 200 pounds. there was only a 60 pound increase here, not a 400 pound one.
I checked 1200/6 which equals 200 pounds per girl. If 4 girls left, then it would be 600 pounds for the 2 remaining girls. the rent increased from 200 to 600 which is a 400 pound increase.
cv6gv uig. ih 8h 88h oh 9h
Answer:
what
Step-by-step explanation:
Answer:
HAVE A FANTASTIC DAY!!!XD
Step-by-step explanation:
BRAINLIEST WOULD BE MUCH APPRECIATED!!!
PLEASE HELP!! I’L MARK AS BRAINLIEST!!
The flow of water out of a bathtub would best be described as which type of data?
A. Discrete
B. Continuous
C. Linear
124.44 is 34 percent of what number?
Answer:
out of 100
Step-by-step explanation:
The blue dot is at what value on the number line?
Answer: The blue dot is at -22
Step-by-step explanation:
The distance between two line is shown to be 6, so you subtract six from -16 to find the value of the dot.
Answer:
-22
Step-by-step explanation:
the distance between -10 and -16 is 6 and 6 divided by 2 is 3. I add -6 to -16 to get -22
A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The height, h, of the pebble after t seconds is given by the equation -16t^2+24t+1200 . How long after the pebble is thrown will it hit the ground?
Answer: 9.44 seconds
Step-by-step explanation:
A movement equation in the vertical axis is usually written as follows:
p(t) = (-g/2)*t^2 + v0*t + p0
where:
g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2
v0 is the initial velocity, in this case, 24 ft/s
p0 is the initial height, in this case, 1200ft
Then, when p(t) = 0ft will mean that the pebble will hit the ground, then we need to calculate:
p(t) = -16t^2+24t+1200 = 0
and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:
[tex]t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}[/tex]
Then the two solutions are:
t = (-24 + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)
t = (-24 - 278.2)/-32 = 9.44 seconds
Then the pebble needs 9.44 seconds to hit the ground
HELP PLEASE!!
Mrs. Newman has $15 to buy birthday cards that cost $1.40 each.
Create a set of five ordered pairs that shows the amount of money she spends as a function of the number of birthday cards she buys.
( ____, ____ ), ( ____, ____ ), ( ____, ____ ), ( ____, ____ ), ( ____, ____ ),
Can Mrs. Newman buy 12 birthday cards? Why or why not?
What are 12 times 1.40? Is $16.80 less than $15?
Challenge: Write a function rule (equation) that shows the relationship between the number of cards she buys (x) and the amount of money she spends (y).
Answer:
I'm dumb hwhsbdbshagebsvxv
Help me please ASAP will mark brainliest!!
Hey you’ve got it right on ur screen.
Determine whether the following triangles are congruent. If they are congruent, give a congruency statement.
Answer:
Congruent, ASA Congruency Theorem
Step-by-step explanation:
HGI and KJI are vertical angles, therefore equalAngle H and K are congruentGJ bisects HK at Point I, therefore segments HI and KI are congruentTroy has to order 8 pounds of ham,15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy‘a order?
Total cost is $93.75
Answer:
The answer is $93.75
Step-by-step explanation:
Solve for x.
Enter the solutions from least to greatest.
(-5x + 4)(x – 3) = 0
Answer:
x = 4/5, and x = 3
Step-by-step explanation:
set both parts of the equation equal to 0
-5x+4 =0
-5x= -4
divide by -5
x= 4/5
x-3 = 0
x=3
Helped needed having difficulty
Answer:
1. 1/4 cup of molasses.
2. 72 1/2 strips.
3. 7 1/2 hours.
Step-by-step explanation:
Lenny buys a popcorn and soda at the movies. A large popcorn is $7 and the drink is $3.50. Lenny has to also pay tax of 6%. How much will he pay in total?
Answer:
i think its 10.71 i dont know if i got it right your welcome
Step-by-step explanation:
Answer:
$10.71
Step-by-step explanation:
SOME ONE HELP PLZ CALCULATE THE CIRCUMFERENCE AND AREA OF A CIRCLE
Answer:
qwertyu
Step-by-step explanation:
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t
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)
Answer:
25= (x-2)² + (y+4)²
Hope this helps!!!
Answer:
[tex](x-2)^2+(y+5)^2=36[/tex]
Step-by-step explanation:
The standard form of a circle is given by the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:
[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]
Simplify:
[tex](x-2)^2+(y+5)^2=r^2[/tex]
Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:
[tex](-4-2)^2+(-5+5)^2=r^2[/tex]
Evaluate:
[tex](-6)^2+(0)^2=r^2[/tex]
Evaluate:
[tex]36=r^2[/tex]
Hence, the radius squared is 36.
We do not actually need to solve for r, as we will square it anyways.
We will substitute 36 for r squared. Hence, our equation is:
[tex](x-2)^2+(y+5)^2=36[/tex]
The radius will thus be 6 units.
There are twelve shirts in your closet, three blue, five green, and four red. You randomly select one to wear. It is blue or green.
Answer:
green
Step-by-step explanation:
green has a higher possible of being picked over blue
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.00032, which shows a valid step in the process of calculating the pH of the substance?a. pH = - log 0.0032.b. - log(3.2.10-4)= pH.c. log(3.2.10-4)= pH.d. log(3.2.10*) = -pH.e. pH = log 0.00032.
Answer:
-log(3.2•10^-4)=pH
Step-by-step explanation:
The choice which shows a valid step in the process of calculating the pH of the substance is; Choice B. - log(3.2.10-⁴) = pH.
According to the question;
The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions.Therefore, when H = 0.00032
pH = - log 0.00032However; 0.00032 can be written in standard form as; 3.2.10-⁴
Therefore, Choice B is correct.
Read more:
https://brainly.com/question/17093969
The Math Team sells crunchy and fruity trail mixes to raise money. The ratio of fruit to nuts in each mix and the price they charge for an 8-oz (or -cup) bag of each mix are given in the table below. [Hint: The ratio of fruit to nuts in the crunchy trail mix is 1:3. So, of each bag is fruit and of each bag is nuts.]
Ratio of fruit to nuts Price of an 8-oz (or cup) bag
Crunchy trail mix 1:3 $2.50
Fruity trail mix 5:3 $3.50
They have 30 cups of fruit and 50 cups of nuts to use in their trail mixes. So, they need to know how many bags of each type of mix they should they make. They let c represent the number of bags of crunchy trail mix and f represent the number of bags of fruity trail mix. Which set of inequalities below represents the conditions?
The conditions would be represented by the following set of inequalities:
c + 5f ≤ 60.3c + 3f ≤ 100.c ≥ 0. f ≥ 0.What is an inequality?An inequality can be defined as a mathematical relation for comparing two (2) or more integers or variables in an equation based on any of the following:
Greater than (>).Less than (<).Greater than or equal to the other (≥).Less than or equal to the other (≤).In this scenario, the ratio of fruit to nuts in the crunchy trail mix is equal to 1:3. Therefore, 1/4 of each bag contain fruits while 3/4 contain nuts.
Mathematically, these conditions would be represented by the following set of inequalities:
1/2 × (c + 5f) ≤ 30 ⇒ c + 5f ≤ 60.
1/2 × (3c + 3f) ≤ 50 ⇒ 3c + 3f ≤ 100.
c ≥ 0. f ≥ 0.
Read more on inequality here: https://brainly.com/question/24372553
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Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randomly selects a bag and then draws one marble at random. It is blue. What is the probability that it came from Bag B?
Can you explain why the answer is 77/113? and actually answer the question if you don't know, dont post an answer
1
It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.
If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.
If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24
Add up the results found getting
P(blue) = P(blue & bag A) + P(blue & bag B)
P(blue) = 3/22 + 7/24
P(blue) = 36/264 + 77/264
P(blue) = 113/264
This is shown in the diagram as well.
--------------------------------------------------
Recall that conditional probability in general is defined as follows
P(A given B) = P(A and B)/P(B)
In this problem, we'll have
P(bag B given blue) = P(bag B and blue)/P(blue)
Therefore, we can say...
P(bag B given blue) = P(bag B and blue)/P(blue)
P(bag B given blue) = (7/24)/(113/264)
P(bag B given blue) = (7/24)*(264/113)
P(bag B given blue) = (7*264)/(24*113)
P(bag B given blue) = (7*24*11)/(24*113)
P(bag B given blue) = (7*11)/(113)
P(bag B given blue) = 77/113
In short, the probability of getting bag B, given the marble is blue, is 77/113.
Which statements are TRUE? Select all that apply.
A. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
B. If 6 pens cost $7.74, then 7 pens cost $9.03.
C. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
D. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
E. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
Answer:
A, B, D are true
Step-by-step explanation:
A) Speed = Distance travelled ÷ time taken
= 112 ÷ 1.75
= 64 miles per hour
True
B) Cost of 6 pens = $7.74
Cost of 1 pen = 7.74 ÷ 6 = $ 1.29
Cost of 7 pens = 1.29 * 7 = $ 9.03
TRUE
C) Speed = 57 miles per hour
4 hour 10 minutes = 250 minutes
Distance traveled in an hour = 57
Distance traveled in 250 minutes = (57* 250) ÷ 60 = 237.50 miles
FALSE
D) Cost of 17 cans = $ 38.59
Cost of 1 can = 38.59 ÷ 17 = $2.27
Cost of 3 cans = 2.27 * 3 = $ 6.81
TRUE
e) Cost of two dozen eggs = $ 8.40
Cost of an egg = 8.40 ÷ 24 = $ 0.35
FALSE
If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
a. 18°
b. 72°
c. 90°
d. 108°
Answer:
A. 18°
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Hence
sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°
Answer:
The answer is 18.
Step-by-step explanation:
90-72=18
Help me with this question pleaseee
Answer:
3x=4x+19 (extarior angels of parallel )
3x-4x=19
_1x=19
x=_19
Use spherical coordinates to evaluate the
triple integral x2 + y2 + z2 DV, where E
is the ball: x2 + y2 + z2 = 16.
1/S22+
Answer:
4096π / 5
Step-by-step explanation:
∫∫∫ (x² + y² + z²) dV
In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.
E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ
Evaluate the first integral.
∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ
∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ
Evaluate the second integral.
¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ
²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ
Evaluate the third integral.
²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ
²⁰⁴⁸/₅ π (-cos π + cos 0)
²⁰⁴⁸/₅ π (1 + 1)
⁴⁰⁹⁶/₅ π
Answer:
[tex]\displaystyle \iiint_E {x^2 + y^2 + z^2} \, dV = \frac{4096 \pi}{5}[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Multivariable Calculus
Triple Integrals
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Spherical Coordinate Conversions:
[tex]\displaystyle r = \rho \sin \phi[/tex][tex]\displaystyle x = \rho \sin \phi \cos \theta[/tex][tex]\displaystyle z = \rho \cos \phi[/tex][tex]\displaystyle y = \rho \sin \phi \sin \theta[/tex][tex]\displaystyle \rho = \sqrt{x^2 + y^2 + z^2}[/tex]Integral Conversion [Spherical Coordinates]:
[tex]\displaystyle \iiint_T {f( \rho, \phi, \theta )} \, dV = \iiint_T {\rho^2 \sin \phi} \, d\rho \, d\phi \, d\theta[/tex]
Step-by-step explanation:
*Note:
Recall that φ is bounded by 0 ≤ φ ≤ 0.5π from the z-axis to the x-axis.
I will not show/explain any intermediate calculus steps as there isn't enough space.
Step 1: Define
Identify given.
[tex]\displaystyle \iiint_E {x^2 + y^2 + z^2} \, dV[/tex]
[tex]\displaystyle \text{Region E (Ball):} \ x^2 + y^2 + z^2 \leq 16[/tex]
Step 2: Integrate Pt. 1
Find ρ bounds.
[Ball] Substitute in Spherical Coordinate Conversions:Find θ bounds.
[Ball] Substitute in z = 0:Find φ bounds.
[Circle] Substitute in Cylindrical Coordinate Conversions:Step 3: Integrate Pt. 2
[Integrals] Convert [Integral Conversion - Spherical Coordinates]:We evaluate this spherical integral by using the integration rules, properties, and methods listed above:
[tex]\displaystyle \begin{aligned}\iiint_E {x^2 + y^2 + z^2} \, dV & = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 \int\limits^4_0 {\rho^4 \sin \phi} \, d\rho \, d\phi \, d\theta \\& = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 {\frac{\rho^5}{5} \sin \phi \bigg| \limits^{\rho = 4}_{\rho = 0}} \, d\phi \, d\theta \\& = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 {\frac{1024}{5} \sin \phi} \, d\phi \, d\theta\end{aligned}[/tex]
[tex]\displaystyle \begin{aligned}\iiint_E {x^2 + y^2 + z^2} \, dV & = \int\limits^{2 \pi}_0 {\frac{-1024}{5} \cos \phi \bigg| \limits^{\phi = \pi}_{\phi = 0}} \, d\theta \\& = \int\limits^{2 \pi}_0 {\frac{2048}{5}} \, d\theta \\& = \frac{2048}{5} \theta \bigg| \limits^{\theta = 2 \pi}_{\theta = 0} \\& = \frac{4096 \pi}{5}\end{aligned}[/tex]
∴ we have evaluated the given integral in spherical coordinates.
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Learn more about multivariable calculus: https://brainly.com/question/4746216
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Topic: Multivariable Calculus
Unit: Triple Integrals Applications
3. A solid cylinder has a radius of 6cm and a height of 20cm.
a. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures.
b. The cylinder is made of a material that has a density of 1.5g/cm3. Calculate the mass of the cylinder. Give your answer correct to 3 significant figures.
4. The diagram shows a right-angled triangular prism.
Answer:
a) 2260 cm³
b) 3390 grams
Step-by-step explanation:
3.
a)The radius of the solid cylinder = 6cm
The height of the cylinder is =20 cm
The volume = π*r²*h
The volume = 3.14 * 6²*20 =2260 cm³
b) Density of the material = 1.5 g/cm³
Volume of the cylinder = 2261 cm³
Mass of the cylinder = Density * Volume
Mass of the cylinder = 1.5 * 2261 = 3390 grams
Mireya has breakfast at a restaurant. Her bill was $9.00. Mireya plans to leave a 20% tip. How much does she need to leave for the tip?
Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x? One-half 2 8 12
Answer:
8
Step-by-step explanation:
Its right on edge
Answer:8
Step-by-step explanation:
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
How to solve this additional problem
1/(x+2)+x^2+x-2
Answer:
1/x^2+2x
Step-by-step explanation:
what is the solution to this equation?
x-4=17
A. x=13
B. x=11
C. x=23
D. x=21
Answer:
d. x=21
Step-by-step explanation:
x-4=17
x-4 +4=17+4
x=21
find the slope of the line passing through the points (-9,-6) and (-4,5)
Answer:
11/5
Step-by-step explanation:
its 11/5
Answer:
[tex]m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-9,\:-6\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:5\right)\\\\m=\frac{5-\left(-6\right)}{-4-\left(-9\right)}\\\\m = \frac{5+6}{-4+9}\\\\m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]
HELP IS THIS PROPORTIONAL