Answers
Using scientific notation, it i found that the result of the expression is given as follows:
C. 974,000.
What is scientific notation?A number in scientific notation is given by:
\(a \times 10^b\)
With the base being \(a \in [1, 10)\).
In this problem, to solve the sum, we have to place the numbers in the same base, hence:
\(7.4 \times 10^4 + 9 \times 10^5 = 0.74 \times 10^5 + 9 \times 10^5 = 9.74 \times 10^5 = 974000\)
Hence option C is correct.
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Related Questions
Help picture below problem 11
Answers
Answer:
Missing Angle = 26⁰ ( corresponding angles )
____ A study randomly selected 2000 people in Alaska and 2000 people in Florida. Ten years later they tracked down how many of the 4000 people in their study had died. When it was discovered that three times more people from Florida died, the researchers concluded that living in a high latitude (like Alaska) will make you live longer. Which of the following could be a lurking variable in this study? a. Alaska has more snow, and the color white is conducive to brain function b. There are more people who live in Florida, so Florida has more people who die c. A colder temperature makes the body work harder, so it causes people to live longer d. Florida has more old people who want to retire in the sun, so the death rate will be higher e. After the stock market crashed there is a higher number of people who die from depression
Answers
A lurking variable in this study would be option D. Florida has more old people who want to retire in the sun, so the death rate will be higher.
A lurking variable is a confounding variable that can influence the relationship between the independent and dependent variables in a study. In this study, the conclusion that living in a high latitude leads to longer life expectancy is based on the observation that three times more people from Florida died compared to Alaska.
However, there may be other factors that contribute to the higher death rate in Florida, such as the fact that Florida has a higher proportion of older people who retire in the sun. This means that the age structure of the population could be a lurking variable that influences the relationship between living in high latitude and longevity. Therefore, the conclusion that living in a high latitude leads to a longer life expectancy may not be valid.
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How many blue circles are equivalent to the orange square? Explain how you know.
Answers
Answer:
5 blue circles are equivalent to the orange square
Step-by-step explanation:
If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.
Answer:
5
Step-by-step explanation:
There are a total of 7 blue circles on the right side and 2 on the left.
You also know that both sides are equivalent.
You can assume that the all the blue circles have the same weight
If you subtract the only blue circles from the left from the 7 blue circles on the right you get
1 orange square on the left and 5 blue circles on the right.
PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
Answers
number one take the second
If you roll a die once, what is the probability of rolling a 3?
Answers
Answer:
1/6
Step-by-step explanation:
there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6
Answer:
1/6
Step-by-step explanation: there are 6 incomes and 1 number 3 in a die
An executive wishes to take out a $1.2 million mortgage. The yearly interest rate on the loan is 1.95% and the loan is for 20 years. Calculate the monthly payments.
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answers
$6042.22 is the monthly payment on the mortgage.
To calculate the monthly payments on the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
\(M = P*(\frac{r}{12} )/(1 - (1 +\frac{r}{12})^{(-n*12)})\)
where M is the monthly payment, P is the principal (loan amount), r is the yearly interest rate, and n is the number of years.
Substituting the given values, we get:
\(M = 1200000*(0.0195/12)/(1 - (1 + 0.0195/12)^(-20*12))\)
Simplifying, we get:
M = $6042.22(rounded to the nearest cent)
So the monthly payment on the mortgage is $6042.22.
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A baking scale measures mass to the tenth of a gram, up to 650 grams. Which of the following measurements is possible using this scale? a.3.8 grams b.120.01 grams c.800.0 grams d.54 milligrams
Answers
Answer:
Step-by-step explanation:
The answer is b
120.01 grams
A proportional relationship is shown in the table below:
�
xx
0
00
1.3
1.31, point, 3
2.6
2.62, point, 6
3.9
3.93, point, 9
5.2
5.25, point, 2
�
yy
0
00
1
11
2
22
3
33
4
44
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
Answers
The slope of the line that represents the relationship is 0.76.
What is slope of a line?Slope in mathematics relates to how steep a line is. It measures how much the y-coordinate shifts upward or downward for every unit increment in the x-coordinate. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line is, in other words, the slope of the line.
The following equation can be used to determine a line's slope: slope = (y2 - y1) / (x2 - x1).
where any two points on the line (x1, y1) and (x2, y2).
Positive, negative, zero, or undefinable slopes are all possible. A line with a positive slope is moving upward from left to right, whereas one with a negative slope is moving downward.
The slope of the line is given by the formula:
slope = (change in y) / (change in x)
Substituting the point from the table we have (0, 0) , (1.3, 1) thus:
m = 1 - 0 / 1.3 - 0
m = 1 / 1.3 = 0.76
Now, using the slope intercept form we have:
y - y1 = m(x - x1)
For (0, 0) we have:
y = 0.76x
Hence, the slope of the line that represents the relationship is 0.76.
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The complete question is:
Monica has a triangular piece of fabric. The height of the triangle is 27 inches and the triangle's base is 18 inches. Monica says that the area of the fabric is 486 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric.
Monica forgot to multiply by___
The area of the fabric is ____ in.2
Answers
The area of the fabric is 243 in.2
Explanation:
The formula for the area of a triangle is:
1/2 • base • height
Monica’s error is that she only multuplied the base and height, without multiplying 1/2 also.
The area of the fabric is 243 in.2 because:
1/2 • 18 • 27 = 243
Or you could just divide the wrong area Monica solved (486 in2) by 2. You will also get 243 in.2
Have a nice day! And mark me brainliest please!
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
Answers
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that at least 2 flights arrive late.
Answers
Answer:
83.29% probability that at least 2 flights arrive late.
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of other flights. So we use the binomial probability distribution to solve this 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.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
80 % of its flights arriving on time.
This means that 100-80 = 20% arrive late, so \(p = 0.2\)
A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time.
This means that \(n = 15\)
Find the probability that at least 2 flights arrive late.
Either less than 2 arrive late, or at least 2 does. The sum of the probabilities of these events is decimal 1. So
\(P(X < 2) + P(X \geq 2) = 1\)
We want \(P(X \geq 2)\). Then
\(P(X \geq 2) = 1 - P(X < 2)\)
In which
\(P(X = 2) = P(X = 0) + P(X = 1)\)
So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{15,0}.(0.2)^{0}.(0.8)^{15} = 0.0352\)
\(P(X = 1) = C_{15,1}.(0.2)^{1}.(0.8)^{14} = 0.1319\)
\(P(X = 2) = P(X = 0) + P(X = 1) = 0.0352 + 0.1319 = 0.1671\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1671 = 0.8329\)
83.29% probability that at least 2 flights arrive late.
Solve the absolute value inequality |-2z+30| ≤ 30
Answers
The answer of the above question is [0,30]
An absolute value inequality is one with an absolute value sign and a variable inside.
An important point to remember: | x |= {x if x ≥ 0 }
| x |= {x if x< 0}
taking the expression |-2z+30| ≤ 30
Write the equivalent compound inequality.
-30≤ -2z+30 ≤ 30
= -30-30 ≤ -2z ≤ 30-30
= -60≤ -2z ≤ 0
= -60/2 ≤ -z ≤ 0
= -30 ≤ -z ≤ 0
Solve the compound inequality.
= 0 ≥ z ≥ 30 (reversing of signs)
Hence, the solution using interval notation [0,30].The check is left to you.
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(02.02)Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.) $______ per hour. I NEED HELP FAST!!
Answers
13.3 is the rate boom
Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x represent the number of days Terry practices, and let y represent the number of minutes he practices. Write an equation that could be used to represent this relationship.
Answers
Terry practices 90 minutes a day.
Given that Terry practices the same amount of time each day for his soccer tryouts, and in 4 days, he has practiced for 360 minutes, to determine how long he trains each day the following equation must be performed:
X = Days Y = Minutes per day 360 / X = Y 360/4 = Y 90 = Y
Therefore, Terry practices 90 minutes a day.
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Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Answers
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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A CD usually sells for $15.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$12.84
B.
$11.93
C.
$12.90
D.
$12.72
Answers
Answer:
$14.28. Step-by-step explanation: If the CD is $17 and is have a 20% off then you multiply .20 and 17 to get the amount that is off.
Step-by-step explanation:
plz mark brainliest
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
Answers
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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-5(x - 10) = -35, figure out what x is
Answers
\(\text {Hey! Let's Solve this Problem!}\)
\(\text {\underline {The First Step is to Simplify the Equation}}\)
\(\text {Before: -5(x-10)=-35}\)
\(\text {After: -5x+50=-35}\)
\(\text {\underline {The Next Step is to Subtract 50}}\)
\(\text {-5x+50-50=-35-50}\)
\(\text {Your New Problem Is: -5x=-85}\)
\(\text {\underline {The Final Step is to Divide -5}}\)
\(\text {-5x/-5=-85/-5}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {x=17}\)
\(\text {Best of Luck!}\)
Answer:
17
Step-by-step explanation:
-5 (x - 10) = -35
-5x + 50 = -35
-5x = -35 - 50
-5x = -85
x = 17
Hopefully this answer helps you :)
Kendra received a bonus that was 30% of her monthly earnings. If her monthly earnings were $930, how much was Kendra's bonus?
Answers
Answer:
$279
Step-by-step explanation:
100% = $930
30% = ???
(30/100) × 930
=$279
thrill drop to nearest food. Number of minutes
Answers
Find the area of the shape shown below.
Answers
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
Answers
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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HEY. YES, YOU. PLEASE HELP
Answers
Answer:
its a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Tis' a function because for each input, there's one output. Because, for any given x, there is only 1 sin(x).
An underwater sensor is located 1345meters below sea level. The sensor is moved to a location that is 8110 meters below sea level.
Which measure best describes the change in the location of the sensor?
−21910 m
−5710 m
5710 m
21910 m
Answers
Answer:
5710 5.05 Quiz: Model the Real World with One-Step Equations
Answer:
5 7/10 m
Step-by-step explanation:
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
Answers
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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The perimeter of a quadrilateral (four-sided polygon) is 29 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches longer than the
shortest side. Find the length of all four sides.
The length of the shortest side is ____?
the length of each of the two equal sides is____?
and the length of the longest side is___?
Answers
The length shortest side of the quadrilateral is 5 inches
The length longest side of the quadrilateral is 10 inches;
The length of the other two sides of the quadrilateral will be 7 inches.
What is the perimeter of a quadrilateral?
The length of a quadrilateral's boundary, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc. We are aware that a quadrilateral's perimeter can be calculated by summing all of its side lengths. This can be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter can be written as,
AB + BC + CD + DA = The perimeter
Let the length shortest side of the quadrilateral be x;
So, According to the question,
length longest side of the quadrilateral will be: 2x;
length of the other two sides of the quadrilateral will be (x +2) inches.
We have given that:
The perimeter of the quadrilateral is 29 inches.
So,
⇒ 2x + (x+2) +(x+2)+x = 29
⇒5x + 4 = 29
⇒5x = 29-4
⇒5x = 25
⇒x =5;
Hence,
the length shortest side of the quadrilateral is 5 inches
length longest side of the quadrilateral is 10 inches;
length of the other two sides of the quadrilateral will be 7 inches.
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8/968=what is the answer long divison pls
Answers
Answer:
121
Step-by-step explanation:
If the sum of a number and six is tripled, the result is eight less than twice the number. Find the number.
Answers
x= -26
the answer is -26
HELP PLEASE I HAVE TEN MINUTES
Answers
Answer:
461.814 is part A
103.67 is part
Thank you for the help!
Answers
Answer:
c 57
Step-by-step explanation: