Answer:
area = 572.3 m²
Step-by-step explanation:
area = PiR²
r = 27/2
area = (3.14)(13.5²)
area = 572.3 m²
What value of x is in the solution set of 2x - 3> 11 - 5x?
0 -3
O 0
O2
o 4
Answer:
The answer is x>2, x has to be greater than 2,
the answer is 4 since it is greater than 2
Barbara charges $3.50, plus $2.25 for each hour she babysits. If Barbara charges $21.50, how many hours does she babysit?
Answer:
8 hours
Step-by-step explanation:
The equation is 2.25X + 3.50 = 21.50
X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.
2.25X + 3.50 = 21.50
2.25X + 3.50 - 3.50 = 21.50 - 3.50
2.25X = 18
2.25X = 18
2.25 2.25
X = 8
A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.
Answer:
P = 4 / ( 4 + 3 +1 )
= 4 / 8
= 4 / 8 = 1 / 2
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The probability that it is red is 1/2.
what is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A bag with 8 marbles
4 red marbles,
3 blue marbles,
and 1 yellow marble.
So, the probability that it is red
= 4 / ( 8)
= 1/2
Hence, the probability that it is red is 1/2.
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When a certain kind of bacterium takes a step, it moves 3 x 10^-7 meters. When
Joe takes a step, he moves 0.75 meters. How many times larger is Joe's step
than the bacterium's step?
Joe's step is[ ] x 10^[ ]
times larger than the bacterium's step
Answer:
Step-by-step explanation:
0.75/(3*10^(-7)) = 0.25*10^7 = 2.5*10^6
Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2
Answer:
13
Step-by-step explanation:
find the area of the composite shape. quickly please
Answer:
4800 1 x 24 x 25 x 8
Step-by-step explanation: 1 x 24 x 25 x 8
The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:
Answer:
[tex]\%Rate = 0.0142\%[/tex]
Step-by-step explanation:
Given
[tex]Population = 183000[/tex]
[tex]New\ Cases = 26[/tex]
[tex]Active\ Cases = 264[/tex]
Required
The incidence rate
This is calculated as:
[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]
[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]
[tex]\%Rate = 0.0001420765 * 100\%[/tex]
[tex]\%Rate = 0.01420765\%[/tex]
[tex]\%Rate = 0.0142\%[/tex] --- approximated
Hence, the incidence rate is 0.0142%
A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart are the two cities on the map?
Answer:
7.5 cm
Step-by-step explanation:
40:1
× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm
sorry if its incorrect
if -3x-8=16 what is the value of -2(x-7)
Answer:
-3x-8=16
-3x = 16+8
-3x = 24
x = 24/-3
x = -8
= -2(x-7)
= -2(-8-7)
= 30
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What is a angle called when two angles share a common side and a common vertex
Answer:
Adjacent Angles
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. They share the same vertex and the same common side.
The figure below consists of a square and a right triangle. Find the missing length x.
The distance around a tree trunk is 69.08 inches. What is the radius of the tree?
Answer:
10.99
Step-by-step explanation:
cuz it is -_-
please help!
Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation
A transformation which can not be used to prove that two circles are congruent to one another is: A. a dilation with a scale factor of 2.
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is dilation?Dilation can be defined as a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
In this context, we can reasonably infer and logically deduce that a dilation with a scale factor of 2 would change the size of the two circle and as such making them incongruent.
In conclusion, a dilation with a scale factor of 1, reflection and rotation can be used to congruency in two circles.
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If you partition ¼ into 6 equal segments, how long is each segment?
Answer:
1/24
Step-by-step explanation
I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.
A triangle has side lengths of 4cm, 6cm, and 11cm. Is the triangle acute, obtuse, or right?
Answer:
No
Step-by-step explanation:
Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.
Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.
Hope it helps,
Please mark me as the brainliest
Thank you
Select all the expressions that are equivalent to 10x + 4 - (6x - 1)
Answer:
4x + 5
Step-by-step explanation:
10x + 4 - 6x + 1
= 4x + 5
A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:y=x+0
Step-by-step explanation:
Factorise
7lm - 21lmn
Answer:
7lm - 21lmn
taking common 7lm
7lm(1-3n)
A tank contains 210 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Step-by-step explanation:
The mass flow rate dA(t)/dt = mass flowing in - mass flowing out
Since water is pumped in at a rate of 3 L/min, and it contains no salt, the concentration in is thus 0 g/L. the mass flow in is thus 0 g/L × 3 L/min = 0 g/min.
Let A(t) be the mass present at any time, t. The concentration at any time ,t is thus A(t)/volume = A(t)/210. Since water flows out at a rate of 3 L/min, the mass flow out is thus, A(t)/210 g/L × 3 L/min = A(t)/70 g/min.
So, dA(t)/dt = mass flowing in - mass flowing out
dA(t)/dt = 0 g/min - A(t)/70 g/min
dA(t)/dt = - A(t)/70 g/min
Since the tank initially contains 30 g of salt, the initial mass of salt in the tank is 30 g. So A(0) = 30
So, the initial value problem is thus
dA(t)/dt = - A(t)/70 , A(0) = 30
Separating the variables, we have
dA(t)/A(t) = -dt/70
Integrating both sides, we have
∫dA(t)/A(t) = ∫-dt/70
㏑A(t) = -t/70 + C
taking exponents of both sides, we have
A(t) = exp(-t/70 + C)
A(t) = exp(-t/70)expC
[tex]A(t) = e^{-t/70}e^{C}\\A(t) = Ce^{-t/70} whereC = e^{C}[/tex]
A(0) = 30, So
[tex]A(0) = Ce^{-0/70}\\30 = Ce^{0}\\C = 30[/tex]
[tex]A(t) = 30e^{-t/70}[/tex]
The rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = \frac{d30e^{-t/70} }{dt} \\dA(t)/dt = -\frac{30e^{-t/70} }{70}\\dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex]
So, the rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Please help ..........
Which angles are vertical angles and, therefore, congruent?
A and D
A and G
A and E
A and F
Answer:
A and F
Step-by-step explanation:
will mark brainlest Coby needs to know the area and perimeter of his farm property. The length of his property is 1/9 mile and the width is 3/8 mile. What is the area? and What is the perimeter?
Answer for Area :
1/24
Answer for Perimeter :
35/36
Step-by-step explanation:
To find the area it's l x w so you multipy 1/9 and 3/8 = 1/24
To find the perimeter you add all the sides together so you add 1/9 + 1/9 + 3/8 + 3/8 = 35/36
I hope this helped you!! :> Have a great rest of your day!
Answer: area 1/24 perimeter 35/36
Step-by-step explanation:
please help me im almost done!
Answer:
if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true
I put the answers in bold
hope this helps!
Step-by-step explanation:
The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
A.
The students in her homeroom
B.
Players whose names are randomly selected from a hat
C.
The players in the starting lineup
D.
All players over 5 feet tall
E.
Every 5th player selected from an alphabetical roster of the team
The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).
What is Representative Sample?A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.
For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.
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Need help with this question
Answer:
Step-by-step explanation:
EB = 1.25×BC
x+5 = 1.25(x+1)
x+5 = 1.25x + 1.25
3.75 = 0.25x
x = 15
The Venn diagram shows the number of elements in each set.
Find n (P'ng
Answer:
Option C. 10
Step-by-step explanation:
From the question given above, the following data were obtained:
P = {3}
Q = {10}
PnQ = {5}
(PuQ)ᶜ = {9}
PᶜnQ =?
Next, we shall determine the complement of P (Pᶜ).
Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:
Universal set (U) = {3,5,10,9}
P = {3}
Pᶜ = {5,10,9}
Finally, we shall determine PᶜnQ. This can be obtained as follow:
Q = {10}
Pᶜ = {5,10,9}
PᶜnQ = Elements common to both Pᶜ and Q.
PᶜnQ = {10}
Myles bought 4 rose bushes and 4 tulip plants. Let r represent the number of roses in bloom on each rose bush and t represent the number of tulips in bloom on the each tulip plant. Myles and Jenna each wrote an expression that represents the total number of flowers in bloom. Are the expressions equivalent? Justify your answer.
Answer:
what are the choices of answers
Step-by-step explanation:
Need it now. I'll give you another 100 when done if all i right.
This it the test please do as fast as posible and show work. thank you and sorry
A bakery has 12 desserts for sale, including 3 slices of pie.
What is the probability that a randomly selected dessert will be a slice of pie?
Write your answer as a fraction or whole number.
P(slice of pie) =
HELP ASAP !!!
Which of the following are identities? Check all that apply.
Answer:
A,CAND D
Step-by-step explanation:
ADD ME AS BRAINLIEST
Answer:
they should all be checked
Step-by-step explanation:
ap3x