Answer:
b
Step-by-step explanation:
10x3+6= 36
5-5x6= -25
24-6-12=6
Find 2/3 of 24
Help ASAP plz!! Got to get finished tonight
Answer:
16
Step-by-step explanation:
[tex](\frac{2}{3} )*24=16[/tex]
6xy^3 * 4x^2y^2 answer
Colbert's backyard has two trees, shown below. The height of shorter tree is 3/5 of the height of the taller tree. If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
Answer:
The height of the taller tree is 7.5 feet.
Step-by-step explanation:
I am going to say that:
The height of the shorter tree is x.
The height of the taller tree is y.
The height of shorter tree is 3/5 of the height of the taller tree.
This means that [tex]x = \frac{3y}{5}[/tex]
If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
This means that [tex]x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}[/tex]
We want to find y.
[tex]x = \frac{3y}{5}[/tex]
[tex]\frac{9}{2} = \frac{3y}{5}[/tex]
[tex]6y = 45[/tex]
[tex]y = \frac{45}{6}[/tex]
[tex]y = 7.5[/tex]
The height of the taller tree is 7.5 feet.
what is the area of the figure
Answer:
I can not see the question
Step-by-step explanation:
Please post the question with the picture on your profile so I can attempt it
make a problem about simple interest
Answer:
Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600
Answer:
1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?
Step-by-step explanation:
Solution:
In every $ 100, Robert gets $ 8.
(Since rate is 8% → 8 for every 100)
Therefore, for $ 1 he gets = $ 8/100
And for $ 2000 he gets = 3000 x 8/100
= $ 240
Simple Interest for 1 year = $ 240.
Simple Interest for 2 year = $ 240 x 2
= $ 480
Simple Interest for 3 year = $ 240 x 3
= $ 720
Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)
= 3000 + 240
= $ 3240
Amount after 2 years = Principal (P) + Simple Interest (SI)
= 3000 + 480
= $ 3480
Amount after 3 years = Principal (P) + Simple Interest (SI)
= 3000 + 720 = $ 3720
We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.
Therefore, we can conclude that Simple Interest (S.I.) depends upon:
(i) Principal (P)
(ii) Rate (R)
(iii) Time (T)
And therefore, the formula for calculating the simple interest is
Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100
Amount (A) = Principal (P) + Interest (I)
Principal (P) = Amount (A) – Interest (I)
Interest (I) = Amount (A) – Principal
Which best represents the inequality?
Answer:
i think C
Step-by-step explanation:
What is the area of this triangle?
Enter your answer in the box.
Answer:
10 square units
Step-by-step explanation:
Base of triangle (b) = 4 units
Height of triangle (h) = 5 units
Therefore,
Area of triangle
[tex] = \frac{1}{2} bh \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]
Macy has completed 78% of the 50 questions on the test. How
many questions has Macy completed?
Answer:
39
Step-by-step explanation:
Answer:
78% = 78/100
= 0.78
78% of the 50 i equal 0.78 x 50 = 39
Macy has completed 39 questions
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
Read more about exponential functions at:
https://brainly.com/question/11487261
63% of US adults opposed to taxes on junk food and soda. You randomly select 10 US adults. Find the probability that the number of adults who oppose special tax on junk food and soda (a) exactly one, (b) at least four, and (c) less than eight
Answer:
a) 0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.
b) 0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.
c) 0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they are opposed to taxes on junk food and soda, or they are not. Each adult is independent of other adults, which means that the binomial probability distribution is used to solve the question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
63% of US adults opposed to taxes on junk food and soda.
This means that [tex]p = 0.63[/tex]
You randomly select 10 US adults.
This means that [tex]n = 10[/tex]
(a) exactly one
This is [tex]P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]
0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.
(b) at least four
This is
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.63)^{0}.(0.37)^{10} \approx 0[/tex]
[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]
[tex]P(X = 2) = C_{10,2}.(0.63)^{2}.(0.37)^{8} = 0.0063[/tex]
[tex]P(X = 3) = C_{10,3}.(0.63)^{3}.(0.37)^{7} = 0.0285[/tex]
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0008 + 0.0063 + 0.0285 = 0.0356[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0356 = 0.9644[/tex]
0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.
(c) less than eight
This is
[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]
In which
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.63)^{8}.(0.37)^{2} = 0.1529[/tex]
[tex]P(X = 9) = C_{10,1}.(0.63)^{9}.(0.37)^{1} = 0.0578[/tex]
[tex]P(X = 10) = C_{10,2}.(0.63)^{10}.(0.37)^{0} = 0.0098[/tex]
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1529 + 0.0578 + 0.0098 = 0.2205[/tex]
[tex]P(X < 8) = 1 - P(X \geq 8) = 1 - 0.2205 = 0.7795[/tex]
0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.
If f(x) = -(5)x , what is f(2)?
Answer:
-10
Step-by-step explanation:
f(2) = 2 x -5
= -10
The answer is -10
Exact distance between (-1,-9) and (5,-5)
[tex]2 \sqrt{13} [/tex]
that is your answer
What is -6k + 7k simplified?
Answer:
1k
Step-by-step explanation:
-6k+7k=1k
or
7k-6k=1k
Answer:
The answer would be found by adding -6 and 7 k so itd be 1k or just k
Eli saves money each month to buy a new computer.
The total amount he has saved, T, can be calculated
by the equation T = 83 + 30m, where m is the
number of months since he started saving. What
does the number 83 represent in the equation?
Answer:
The money he already had when he started saving.
Step-by-step explanation:
Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.
What does the constant (c) in the equation → y = mx + c indicates?The constant (c) in the equation - y = mx + c, indicates the value of (y) at
x = 0. This means that it indicates the value of (y) even before the value of (x) started to increase.
Given is the equation → T = 83 + 30m representing the money saved by Eli each month to buy a new computer.
The equation given is -
T = 83 + 30m
When compared to the equation of the straight line -
y = mx + c
We get -
c = 80
This shows that Eli begin with $83 during month [m] = 0 and saved the money onwards starting from first month.
Therefore, Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.
To solve more questions on Amount estimation, visit the link below-
https://brainly.com/question/14600585
#SPJ2
For the base b of a logarithmic function, b>0 and b≠1
True
False
please help me with this question
Answer:
18
Step-by-step explanation:
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answer: 360>5.5+36.41d
Step-by-step explanation:
Mary has two sisters. Her younger sister is 5 years younger Her older
sister is twice her age. Their ages add up to 47. How dd is Mary and each
of her sisters?
Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
Which image below shows the result of an image that has been rotated 180 by the origin O?
3. A rectangle with vertices located at (-3,4) and (5, 4) has an area of 32 square units. Determine the location of the
other two vertices.
8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).
Answer:
Good luck Dude
Step-by-step explanation:
In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86
the answer to your question is C
7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9
Answer:
A
Step-by-step explanation:
We will solve this inequality by dividing both sides by -9.
Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.
So we get:
[tex]w>6[/tex]
The only answer that has possible solutions that are greater than 6 is A.
PLEASE HELP
180% is equiliant of which decimal .....
Answer:
180% is equivalent to the decimal 1.8
Answer:
answer is 1.8 hope it helps
calcular el tamaño de muestra para una poblacion de 543.098 consumidores de una marca de bebida gaseosa donde el investigador asigna un nivel de confianza de 95% y una margen de error de 3% con una probabilidad de existo de 70% y de fracaso 30%
Answer:
m m m m m m
Step-by-step explanation:
mmmmmmmmm m m m m m m mm m m m m m m
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answer:
follow me please and give thanks
[tex]0.004 \times 0 .81[/tex]
The following stem-and-leaf plot represents the distribution of weights for a group of people.
Stem
Leaves
11
2
4 5 5
6
12
1
3 3
4 5
13
4
6
6
7
14
24
4
7 7
15
0
4
6
6 7
99
16
6
6
7
8
17
2 4
6
6
9
18
5 7
19
0 1
5 9
Step 2 of 3: How many people weigh in the range from 140 to 180 inclusive?
Answer:
the stem and leaf plot is invalid. please provide a diagram.
What is the area of this figure ?
Answer:
52920cm
all you have to do is multiply all the numbers together.
sorry if its wrong.
but hope it helps.
have a great day.
Answer:
102
Step-by-step explanation:
area of the square (36) plus the area of the trapezoid (66)