Answer:
-1.5+88.778112
Step-by-step explanation:
simplified then combined like terms finally got the answer
The angle of elevation from a car to a tower is 32 degree. The tower is 150 ft. tall. How far is the car from the tower? Round to the nearest tenth.
Answer:
240.1 ft (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
simplify
25x-16y-25x+16y
Answer:
Step-by-step explanation:
25x-16y-25x+16y
-16y and 16y cancels out
25x-25x
25x and -25x cancels out too
This means the answer is 0
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The number of students at a particular school who have the flu is increasing at a rate of 12% per day. If at the beginning of monday there were 56 students with the flu, then which of the following is closest to the number of students who have the flu on friday morning?
Answer:
88
Step-by-step explanation:
MATH
The number of students who have the flu on Friday morning will be;
⇒ 83
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The number of students at a particular school who have the flu is increasing at a rate of 12% per day.
At the beginning of Monday there were 56 students with the flu,
Now,
Since, The number of students at a particular school who have the flu is increasing at a rate of 12% per day.
Hence, The percent of increasing rate on Friday morning = 4 x 12%
= 48%
Thus, The number of students who have the flu on Friday morning is,
⇒ 56 + 48% of 56
⇒ 56 + 48 × 56 / 100
⇒ 56 + 26.88
⇒ 82.88
Thus, The number of students who have the flu on Friday morning will be;
⇒ 83
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The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
10.5+7.25π units²
21+7.25π units²
10.5+14.5π units²
21+14.5π units²
Answer:
Step-by-step explanation:
Draw the diameter from point (-1, -5) to point (2, 3).
The triangle has base 3 and height 8.
The diameter of the semicircle is the hypotenuse of the triangle.
The radius is half the diameter.
The total area is the area of the triangle plus the area of the semicircle.
Answer:
A) 10.5+7.25[tex]\pi[/tex]units²
Step-by-step explanation:
This can be divided into a semicircle and a right triangle.
The area of the right triangle is (1/2)(7)(3)= 10.5
the radius of the semicircle is
[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]
[tex]r=(1/2)(\sqrt{58}[/tex]
[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]
[tex]A=58\pi /8[/tex]
[tex]A=7.25\pi[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!
I need help with letter B, find the area
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
20 points! Please help me out here!
10,20,40,80... find the common ratio for the geometric sequence
Answer:
2
Step-by-step explanation:
So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.
So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.
Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.
So, we can conclude that the answer is 2.
Answer:
I think the common ratio is 20
Step-by-step explanation:
Each number is 20 times the previous number, so the Common Ratio would have to be 10
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
a sample of radioactive isotope had an initial mass of 800 mg in the year 2000 and decays exponentially better over time. a measurement in the year 2005 found that the sample’s mass had decayed to 190 mg. what would be the expected mass of the sample in the year 2009, to the nearest whole number?
Answer:
The expected mass of the sample in the year 2009 is approximately 60 miligrams.
Step-by-step explanation:
The mass of radioactive isotopes decays exponentially in time, the equation that represents this phenomenon is presented below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m(t)[/tex] - Current mass of the radioactive isotope, in miligrams.
[tex]m_{o}[/tex] - Initial mass of the radioactive isotope, in miligrams.
[tex]t[/tex] - Time, in years.
[tex]\tau[/tex] - Time constant, in years.
First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):
[tex]-\frac{t}{\tau} = \ln \frac{m(t)}{m_{o}}[/tex]
[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]
If we know that [tex]t = 5\,y[/tex], [tex]m(t) = 190\,mg[/tex] and [tex]m_{o} = 800\,mg[/tex], then the time constant is:
[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]
[tex]\tau = -\frac{5\,y}{\ln \frac{190\,mg}{800\,mg} }[/tex]
[tex]\tau \approx 3.478\,y[/tex]
Now, we calculate the mass of the radioactive isotope in 2009 ([tex]t = 9\,y[/tex]). If we know that [tex]t = 9\,y[/tex], [tex]\tau \approx 3.478\,y[/tex] and [tex]m_{o} = 800\,mg[/tex], then the mass of the radioactive isotope is:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]
[tex]m(9\,y) = (800\,mg)\cdot e^{-\frac{9\,y}{3.478\,y} }[/tex]
[tex]m(9\,y) \approx 60.155\,mg[/tex]
The expected mass of the sample in the year 2009 is approximately 60 miligrams.
A cruise ship can cover 17 nautical miles in 391 minutes. How many nautical miles will it travel in 230 minutes?
A. 10
B. 12
C. 14
D. 8
An employee compiled sales data for a company once each
month. The scatter plot below shows the sales (in multiples of
$1000) for the company over time (in months). The equation
represents the linear model for this data.
50
45
40
Sales ($1000)
35
30
y = 0.94x + 12.5
25+
20+
++
15
10
According to the model, what will the company's sales be after
40 months?
5
o
Answer:
well if you think about it the answer you see is in the points
Step-by-step explanation:
and the data comes from the scatterplot so try to see it and remember to chose b or c ok
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
please help lol
If the children were to share the juice equally, how much would each child get? Show your work.
Answer:
you are missing part of the question
Step-by-step explanation:
Anyone help ?? Sorry please
Answer:
All the points in the scatter plot are written as (x, y)
Where x is the value in the horizontal axis (in this case the weight)
and y is the value in the vertical axis (in this case, the number of seeds)
We want to know the weight of 100 seeds.
We know that the number of seeds is represented in the vertical axis.
Then, first let's look at the vertical axis and find the value 100.
Now let's move horizontally the right until we meet the point.
Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.
If we do that, we can see that we will intersect the x-axis at the value x = 5.
And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.
The sales tax on clothing in Louisiana is 4% . Calculate how much tax you need to pay on a dress if it costs $19.50 before before tax. Round your answer to the nearest cent.
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
If a calculator is sold for R120.00. What will the new price of a calculator be if the
original selling price is Increased in a ratio of 5:3
Answer:
300
Step-by-step explanation:
5/3=120/x
300
The new selling price of the calculator will be R200.00.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, If a calculator is sold for R120.00.
Now, The original selling price is increased by a ratio 5 : 3, which can also be written as 5/3.
Therefore, The new selling price of the calculator will be,
= (5/3)×12000.
= 5×4000.
= 20000.
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Tim and Jenna are surveying their classmates about their summer reading. Their questions are given below: Tim: Which author was promoted by the book reading club this month? Jenna: How many books that you read during the summer break would you recommend to your friends? Who wrote a statistical question and why? (1 point)
A. Tim, because there can be only one answer to the question
B. Jenna, because there can be many answers to the question
C. Tim, because there will be variability in the responses collected
D. Jenna, because every student will give the same answer
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
Find the volume of a pyramid with a square base with a perimeter of the base is 5.7 cm in the height of the pyramid is 8.6 
Answer:
try 28.4 inches to the 3rd power
Step-by-step explanation:
How do you find the h variable? 3ℎ+7=19
Answer:
h=4
Step-by-step explanation:
Subrtract 7, giving you 12.
Then divide by 3 to isolate h. Giving you 4.
10) On Tuesday Imani bought eight hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 21 left. How many did she have on
Monday?
please solve this root under x-2=cube root under 125
Step-by-step explanation:
x-2 = ²√125
x-2 = 22.36
x = 22.36 + 2
x = 24.36.
hope it helps. :/
What is the value of x, given that RS||XY
Answer:
8
Step-by-step explanation:
x/16 = 6/12
cross multiply
12x=6*16
12x=96
divided by 12
x=8
Find the measure of angle B
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
I answered the question 3x-y=5 but is there a different way to answer this?
My answer:
I switched the y with the 3x
3x=y+5
Then I subtracted by 5
y=3x-5
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer and Step-by-step explanation:
Yes (technically), there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.
Here is how you would explain it:
What you would do is Add y to both sides, then subtract 5 from both sides.
3x = y + 5
3x - 5 = y (aka y = 3x - 5)
The other way to solve:
3x - y = 5
Subtract 3x from both sides.
-y = -3x + 5
Now divide both sides by -1.
-1(-y) = -1(-3x + 5)
y = 3x - 5
If you want to solve for x, you would:
Add y to both sides of the equation.
3x = 5 + y
Then divide each side by 3.
x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]
#teamtrees #PAW (Plant And Water)
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
A traffic consultant wants to estimate the true proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hours on a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy
Answer:
The data is a simple random sample from the population of interest.
Step-by-step explanation:
Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.