Answer:
D is not correct because
Step-by-step explanation:
A = (2*4)/3 = 8/3
B = 1/3*(2*4) = 8/3
C = (4*1/3)*2 = 8/3
D = (2*1/3)+(4*1/3) = 2
Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?
x + 8x = 9x
(like 1 + 8 but with x's)
0.045 × 2.05 /0.0025 leaving your answer in standard form
The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.
To perform the calculation and express the answer in standard form, follow these steps:
Multiply 0.045 by 2.05:
0.045 × 2.05 = 0.09225
Divide the result by 0.0025:
0.09225 / 0.0025
= 36.9
Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:
36.9 = 3.69 × 10
Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.
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One of Camille’s graduation gifts is a trip on Amtrak from his home in Atlanta to New York to visit a cousin. Camille is afraid he may experience motion sickness so he has decided to take 50 mg of dimenhydrinate (which will help prevent motion sickness) before boarding Amtrak. Suppose that 85% of this medication remains in the bloodstream after 1 hour. Represent the amount of dimenhydrinate in Camille’s bloodstream for the first 4 hours of taking the drug. Let t be the number of hours after reaching its peak level of 50 mg. Explain how you determined the amount of dimenhydrinate in Camille’s bloodstream.
Answer:
26.10 mgStep-by-step explanation:
Initial amount of drug = 50 mgRemains after each hour = 85%Time = tThis relationship can be shown as a function:
y(t) = 50(0.85)^tAfter 4 hours remaining drug in blood:
y(4) = 50(0.85)^4 = 50(0.522) = 26.10 mgPlease help me, I would appreciate it
Answer:
length= 10 width=5
Step-by-step explanation:
Answer:
It think it is 35
Step-by-step explanation:
The sum of two numbers is −45. One number is 9 more than the other. Find the numbers
Answer:
-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Jill and Matt plan to get their homework finished within one hour. Matt
completes his Math homework in 3/5 hour. Jill completes her Math
homework in 5/6 hour remaining. Who completes the homework faster,
and by how many minutes?
Answer: Matt completes his homework faster than Jill by 14 minutes
Step-by-step explanation:
5*12= 60 so if I multiply 3 by 12 I get how many minutes it took Matt to finish her homework. (which was 36 minutes)
6*10=60 so if I multiply 5 by 10 I get how many minutes it took Jill to finish her homework (which was 50 minutes)
50 minus 36 is a difference of 14
An urn contains 8 white and 5 red balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are white? Round your answer to three decimal places.
Let's first compute the probability of one (or the first) trial, when the drawn is white.
Total balls = 13
White balls = 8
\(P(\text{whites)}=\frac{8}{13}\)Now, everytime a replacement happens we will have the same amount of balls for the next trial. Therefore, the probability of whites will be multiplied for each trial:
\(P(\text{whites)}=(\frac{8}{13})^4=0.143\)there are 50 people in a coffee shop fourteen are tourist.what percent of people in the shop are tourist and non tourist
Answer:
tourist: 28%
non-tourist: 72%
Step-by-step explanation:
total: 50
tourists: 14
non-tourists:50 - 14 = 36
tourist percentage: 14/50 × 100% = 28%
non-tourist percentage: 36/50 × 100 = 72%
Give the boundaries of the indicated value. 2 pounds The boundaries are pounds
The limit values of the indicated value, 2 pounds, are the boundaries.
The boundaries of 2 pounds are;
1.5 – 2.5 poundsMethod used to find the boundaries of the indicated valueThe boundaries of an indicated value are the upper and lower bounds of
the value, which are the possible minimum or maximum values the
number may be before being rounded to the current value.
The indicated value = 2 pounds
The lowest possible value, 2 pounds can be before rounding up is 1.5 pounds.
Therefore;
1.5 pounds is the lower bound of 2 pounds.
The highest possible value of 2 pounds is 2.44999... pounds which is approximately 2.5 pounds
Therefore;
The upper bound of 2 pounds is 2.5 poundsWhich gives;
The boundaries of 2 pounds are;
1.5 – 2.5 poundsLearn more about upper and lower bounds here:
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Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1
Answer:
⇒ A. 2 should be distributed as 2y + 12, y = 6Step-by-step explanation:
Here are the steps to solve this equation:
Given:
First step: 2(y+6)-4y
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC2(y+6)
2*y=2y
2*6=12
2y+12
Isolate the term of y from one side of the equations.
2y+12=4y
Subtract by 12 from both sides.
2y+12-12=4y-12
Solve.
2y=4y-12
Then, you subtract by 4y from both sides.
2y-4y=4y-12-4y
Solve.
2y-4y=-2y
-2y=-12
Divide by -2 from both sides.
\(\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}\)
Solve.
Divide the numbers from left to right.
Solutions:
-12/-2=6
\(\Longrightarrow: \boxed{\sf{y=6}}\)
Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".I hope this helps. Let me know if you have any questions.
PLEASE HELP ME IM LOSIN ALOT OF POINTS
Jose is a middle-aged professor who wants to retire early and start his own coaching classes. He decides to invest his savings and use the returns to fund his business venture.
That sounds like a smart plan! Before investing his savings, Jose should do some research to determine the best investment strategy for his goals.
What is research?
He will need to consider factors such as his risk tolerance, the potential return on investment, and the length of time he has to invest. Once he has identified an investment strategy that aligns with his goals, he should start investing his savings.
Over time, as his investments generate returns, he can use these returns to fund his business venture. It is important for Jose to regularly monitor his investments and adjust his strategy as needed to ensure that he is on track to achieve his goals. With careful planning and a well-executed investment strategy, Jose can achieve his goal of retiring early and starting his own coaching classes.
What is an investment ?
An investment refers to the purchase of an asset with the goal of generating income, capital appreciation, or both. The asset could be anything of value, such as stocks, bonds, real estate, commodities, or mutual funds. Investors typically make an investment with the expectation of earning a return on their investment over a period of time.
The return could be in the form of interest, dividends, or capital gains, depending on the type of investment. Investors may choose to invest in different types of assets based on their investment goals, risk tolerance, and investment horizon. The process of investing involves conducting research, analyzing market trends, and making informed decisions based on the available information.
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Complete question is: Jose is a middle-aged professor who wants to retire early and start his own coaching classes. He decides to invest his savings and use the returns to fund his business venture. Before investing his savings, Jose should do some research to determine the best investment strategy for his goals.
if P = (4,2), Find: Rx=3 (P). Pls help!!
The coordinates of the reflected point P' will be (4, -3).
When a point is reflected over the x-axis, its y-coordinate changes sign.
In this case, the point P has coordinates (4,3).
To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.
So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.
Therefore, the coordinates of the reflected point P will be (4, -3).
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Answer:
Step-by-step explanation:
Question 17
The relationship between the actual air temperaturex (in degrees Fahrenheit)
and the temperature y adjusted for wind chill (in degrees Fahrenheit, given a 10
mph wind) is given by the following formula:
y=-16+1.2x
Mark this question
Estimate the actual air temperature if the temperature adjusted for wind chill is
-25degrees
The actual air temperature is -34.16°.
How to compute the value?It should be noted that from the information z the equation that's given was:
y=-16+1.2x
This shows the relationship between the actual air temperature and the temperature.
Therefore, when y is given as -25, the actual air temperature will be:
y=-16+1.2x
-25 = 16 + 1.2x
Collect like terms
1.2x = -25 - 16
1.2x = -41
X = -41/1.2.
x = -34.16
Therefore,the actual air temperature is -34.16°.
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6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?
Answer:
$26,986.29
Step-by-step explanation:
We can use the formula for calculating the depreciation of an asset over time:
wor
\(\bold{D = P(1 - \frac{r}{100} )^t}\)
where:
D= the current value of the asset
P = the initial purchase price of the asset
r = the annual depreciation rate as a decimal
t = the number of years the asset has been in use
In this case, we have:
P = $39,600
r = 12% = 0.12
t = 3 years
Substituting these values into the formula, we get:
\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)
Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.
Answer:
$26,986.29
Step-by-step explanation:
As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.
Exponential Decay formula\(\boxed{f(t)=a(1-r)^t}\)
where:
f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:
\(f(t)=39600(1-0.12)^t\)
\(f(t)=39600(0.88)^t\)
To calculate the value of the car after 3 years, substitute t = 3 into the function:
\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)
Therefore, the car is worth $26,986.29 after 3 years.
Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
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Find the sum. 1,456.1 +8.233
Answer:
1464.333 is wrong
Step-by-step explanation:
I GOT THE POWER OF GOD AND ANIME ON MY SIDE
Help pls . Thank you very much
Answer:
40.79 degrees
Step-by-step explanation:
Hope this helps
from the diagram the opposite is 4.9 and the hypothenus is 7.5
then sin x = 4.9/7.5
x = sin inverse of ( 4.5/7.5)
x = 40.79
There are 12million children in the UK. If it took Santa 3 seconds to visit each child when delivering presents, how many hours would
The number of hours it will take Santa to visit the whole children is = 10,000hours
The total number of children in UK is = 12million
That is = 12,000,000.
It took Santa 3 seconds to visit each child. That is,
1 child = 3 seconds
Therefore 12,000,000 children = x seconds
x = 12,000,000 × 3 seconds
x = 36,000,000 seconds.
But 3,600 seconds = 1 hour
36,000,000 seconds = x
x = 36,000,000/3,600
x = 10,000 hours.
Therefore, the number of hours it will take Santa to visit the whole children is = 10,000 hours.
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655325 to
the nearest ten thousand
Answer:
660000
Step-by-step explanation:
Work out 8/13 x 7/55 x 11/2 Give your answer as a fraction in its lowest terms.
\(\cfrac{8}{13}\cdot \cfrac{7}{55}\cdot \cfrac{11}{2}\implies \cfrac{8\cdot 7\cdot 11}{13\cdot 55\cdot 2}\implies \cfrac{616}{1430}\implies \cfrac{(22)(28)}{(22)(65)}\implies \cfrac{28}{65}\)
Answer:
28/65
Step-by-step explanation:
8/13×7/55×11/2
8/13×7/55=56/715
56/715×11/2=56/130=28/65
Given right triangle ABC, where side "c" is the hypotenuse, angle B measures 42 degrees, and side c measures 18 m, find the length of side b.
The length of side b of the given right angle triangle using law of sines is; b = 12.044 m
How to use the law of sines?The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C
Thus;
a/sin A = b/sin B = c/sinC
The parameters are;
B = 42°
c = 18m
Since c is the hypotenuse, it is the side that will be opposite the right angle and so;
C = 90°
Thus, using sine rule;
c/sinC = b/sin B
18/sin 90 = b/sin 42
b = (18 * sin 42)/1
b = 12.044 m
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2) find an equation of the line theough the given
points. Give the final answer in slope-intercept form.
(2,-2) (-1,4)
Answer:
y = -2x + 2
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (2, -1)
Points on the y-axis (y1, y2) = (-2, 4)
To find the equation of line in slope intercept form;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
\( Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} \)
\( Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} \)
Substituting into the equation, we have;
\( Slope, m = \frac {4 - (-2)}{-1 -2} \)
\( Slope, m = \frac {4 + 2}{-1 -2} \)
\( Slope, m = \frac {6}{-3} \)
Slope, m = -2
Next, we would use the following formula to find the equation of the line;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-2) = -2(x - 2)
y + 2 = -2x + 4
y = -2x + 4 - 2
y = -2x + 2 = mx + c
A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?
Answer: C. 6 inches high, 4 inches wide, and 10 inches long
Step-by-step explanation:
A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.
This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.
Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.
Height = Scale/ Real = 6/3 = 2
Width = 4/2 = 2
Length = 10/5 = 2
They all use the scale factor of 1 feet: 2 inches so option C is correct.
Toys r Us sells Pokémon cards in packs of 12 for $16.87. Walmart sells them in packs of
6 for $8.36. Justify the better deal.
EASY MATH QUESTION pls help asap
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults
Answer:
b 16 adult is - 40 people end of day
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
2.
Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's
age was twice the sum of Carla's and Jim age. How old is each child now?
Step-by-step explanation:
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Give the slope of a parallel line from the given equation. y=4/5x-3
Parallel lines are equal and have the same slope. The slope law for parallel lines can be expressed as follows
\(\begin{gathered} m_1=m_2 \\ \text{where} \\ m_1=\text{slope 1} \\ m_2=\text{slope 2} \end{gathered}\)The slope point equation can be express as below
\(\begin{gathered} y=mx+c \\ \text{where} \\ m=\text{slope or gradient} \\ c=\text{intercept} \\ \text{Therefore} \\ y=\frac{4}{5}x-3 \\ \text{the slope will be }\frac{4}{5} \end{gathered}\)The slope is 4/5