Answer:
[tex]6 \times 10^{-4}.[/tex]Step-by-step explanation:
We are given expression [tex](6.3 \times 10^{-2})(9.9\times 10^{-3})[/tex].
In order to multiply above given expression, we need to multiply 6.3 by 9.9 first.
On multiplying 6.3 by 9.9 , we get 62.37.
Now we would multiply [tex]10^{-2} \ by \ 10^{-3}.[/tex]
Therefore,
[tex]10^{-2} \times 10^{-3}= 10^{-2-3}= 10^{-2-3} = 10^{-5}.[/tex]
Therefore,
[tex](6.3 \times 10^{-2})(9.9\times 10^{-3}) =62.37 \times 10^{-5}[/tex]
Again [tex]62.37 \times 10^{-5}[/tex] could be written as [tex]6.237 \times 10^{-4}[/tex].
Now, [tex]6.237 \times 10^{-4}[/tex] could be round to [tex]6 \times 10^{-4}.[/tex]
Therefore, correct answer is [tex]6 \times 10^{-4}.[/tex]
Simpson has a rectangular fish aquarium that measures 31 inches long, 13 inches wide, and is 28 inches deep. If Simpson wanted to put a protective covering on the four glass walls of the aquarium, how much covering does he need?
The dimensions of the rectangular fish aquarium are:
length = 31 inches, width = 13 inches and depth = 28 inches
If Simpson covers all the four glass walls of the aquarium.
We have to determine the covering he needs.
So, Covering required for four walls of the aquarium
= [tex]2(lh+bh)[/tex]
= [tex]2( (31 \times 28)+ (13 \times 28))[/tex]
= [tex]2( (868)+ (364))[/tex]
= [tex]2 \times 1232[/tex]
= 2464 square inches
So, Simpson needs 2464 square inches of covering to cover all the four glass walls of the aquarium.
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A. -6
B. 6
C. 12
D. -12
is a hope i helped you wlcome
Keisha is solving the equation 7^x=9.
Write an equation that shows the first step she should take.
(logarithms)
describe the relationship of input and output values for composite functions?
Choose the graph that matches the following system of equations:
Explain to me why I got this wrong!!! Please
8x + 5y = −5
7x − 3y = 3 (6 points)
The average length of the eight words Betty was asked to spell was 9 letters. The first seven words had the following lengths: 8 letters, 9 letters, 6 letters, 10 letters, 7 letters, 9 letters, and 11 letters. What was the length of the eighth word?
CAN SOMEONE HELP ME WITH THESE QUESTIONS PLEASE!?
Answer:
Step-by-step explanation:
1.
[tex](c+9)^2=64=8^2\\[/tex]
c+9=±8
either c=8-9=-1
c=-8-9=-17
so c=-1,-17
D
2.
8x^2-3=2
8x^2=5
[tex]x^2=\frac{5}{8}=\frac{10}{16}[/tex]
[tex]x=±\frac{\sqrt{10}}{4}[/tex]
so A
3.
[tex]x^2+4x+4=18\\(x+2)^2=9*2\\x+2=3\sqrt{2} \\x=-2 ±3\sqrt{2}[/tex]
so D
or
Professionals typically order 10% more than calculated. If w represents the minimum number of whole boxes needed, what expression represents the number of boxes they would order?
What is the number of pi?
Pi is a very special number in math and it’s so special that it even gets its own symbol. Mathematicians found out that when you try to write down what pi is, the decimal points keep going and going. This means that it’s impossible to find all the digits of pi.
I will only write down some digits.
π = 3.1415926535897932384626
PLEASE HELP ME ON THIS AND SHOW UR WORK
THX
find the LA, SA, and volume of a triangular prism with a hypotenuse of 12m, short leg of 5m, and height of prism of 5m
To find the lateral area, surface area, and volume of a triangular prism, use the Pythagorean theorem to find the missing leg, then calculate the triangular base area, lateral area, and volume, and finally add the triangular base areas to the lateral area for the surface area.
Explanation:Finding the Lateral Area, Surface Area, and Volume of a Triangular Prism
To find the lateral area (LA), surface area (SA), and volume of a triangular prism with a given hypotenuse, short leg, and height of the prism, we will follow these steps:
Determine the length of the other leg of the right-angled triangle using the Pythagorean theorem (since the triangular face is a right triangle given the hypotenuse and one leg).
Calculate the area of the triangular base using the formula for the area of a triangle (1/2 × base × height).
Compute the lateral area by multiplying the perimeter of the triangular base by the height of the prism.
Add the areas of the two triangular bases to the lateral area to get the surface area.
Find the volume by multiplying the area of the triangular base by the height of the prism.
Since the short leg is 5 m and the hypotenuse is 12 m, the other leg (long leg) can be found as √(12² - 5²) = √(144 - 25) = √119 m. The area of the triangular base (A) is then 1/2 × 5 m × √119 m. The perimeter (P) of the triangular base is 5 m + 12 m + √119 m. The lateral area is P × height of prism (5 m), and the surface area is LA + 2 × A. Lastly, the volume is A × height of prism (5 m).
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Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and three inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
3 feet
6 feet
8 feet
10 feet
Answer:
Option C is the correct answer.
Step-by-step explanation:
Volume = Length x Breadth x Height
Length = 10 feet = 3.33 yard
Height = 3 inches = 0.25 feet = 0.0833 yard
The price of concrete is $98 per cubic yard and total cost is $72.59.
[tex]\texttt{Total concrete needed = }\frac{72.59}{98}=0.74yard^3[/tex]
We have
Volume = Length x Breadth x Height = 0.74
3.33 x Width x 0.0833 = 0.74
Width = 2.67 yards = 2.67 x 3 = 8 feet
Option C is the correct answer.
Overdraft protection means the bank will loan you the money needed to cover the check that cannot be covered by funds in the account. True or false ASAP HELP PLEASE
True. Overdraft protection is a service offered by banks to their customers. When your account does not have enough money to cover a transaction, overdraft protection allows the bank to loan you the necessary funds to complete the transaction.
If you make a purchase or withdrawal that exceeds your account balance, the bank will cover the shortfall by lending you the needed amount. This ensures the transaction goes through, but typically comes with fees or interest. While convenient, it can lead to extra costs if used frequently.
Overdraft protection may apply to debit card purchases, checks, or automatic bill payments, depending on the account settings. Some banks offer this service automatically, while others require customers to opt in. It's a useful safety net but should be used responsibly to avoid accumulating unnecessary charges.
Given cosx=1213 and sinx=513 .
What is ratio for tanx ?
leave answer as a fraction in simplest form
Remember to show all of you work
By using the tangent formula, we will see that:
tan(x) = 5/12.
How to get the tangent of x?You just need to remember that we can write the tangent as:
tan(x) = sin(x)/cos(x).
In this case, we know that:
sin(x) = 5/13cos(x) = 12/13We can just replace these two in the tangent equation, we will get:
tan(x) = (5/13)/(12/13) = (5/13)*(13/12) = 5/12
tan(x) = 5/12
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∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices.
The measure of the longest side of ∆ABC is ______ units. ∆ABC is_____ triangle.
If ∆ABD is formed with the point D(1, 2) as its third vertex, then ∆ABD is _____ triangle. The length of side AD is ______ units.
1.
B.29^(1/2) .
C.34^(1/2)
D.6
2.
A.equlaterial
B.isoclese
C.right
D.scalene
3.
A.equilateral
B.right isosceles
C.right scalene
D.non-right isosceles
E.non-right scalene
4.
A.3
B.5
C.8
D.10
The measure of the longest side of ∆ABC is 6 units. ∆ABC is a right scalene triangle. ∆ABD is also a right scalene triangle and the length of side AD is 5 units.
The measure of the longest side of ∆ABC can be found using the distance formula.
We calculate the distance between points A(1, 7) and B(-2, 2), between points B(-2, 2) and C(4, 2), and between points A(1, 7) and C(4, 2).
The longest distance is the measure of the longest side.
Using the distance formula, we find that the longest side is 6 units long.
∆ABC is a right scalene triangle.
This is because the lengths of its sides are all different and it has a right angle at point C, where the x-coordinate doesn't change but the y-coordinate does.
∆ABD is also a right scalene triangle.
The length of side AD can be found using the distance formula between points A(1, 7) and D(1, 2).
The length of side AD is 5 units.
Read the word problem.
Caryn buys 3 bottles of juice. Kip buys 2 bottles of juice. Kip’s mother buys twice as many bottles of juice as Caryn and Kip combined. How many bottles of juice did Kip’s mother buy?
Which type of word problem is shown?
part-whole
comparison
multiplication
division
4. decide which of the following sports can be the most beneficial in achieving cardiovascular fitness . ( 1point )
A . soccer
b. baseball
c. football
d. golf
A license plate is to consist of 4 digits followed by 2 uppercase letters. determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted.
There are [tex]728000[/tex] possibilities of different licence plates.
The License plate is consist of [tex]4[/tex] digits followed by [tex]2[/tex] uppercase letters, i,e,
We have [tex]6[/tex] digits so let's first check the choices of letter or digits over that.
Consider [tex]1[/tex]st Digit , according so question it should be odd so the choices we have for [tex]1[/tex]st Digits are [tex]1,3,5,7,9[/tex] i.e, [tex]5[/tex] choices we have as repitition not allowed.
Now consider [tex]2[/tex]nd Digit , according so question it should be odd so the choices we have for [tex]2[/tex]nd Digits are [tex]4[/tex] because [tex]1[/tex] odd digits has been used in [tex]1[/tex]st Digit.
[tex]3rd[/tex] digit - [tex]2[/tex] digits has been used in [tex]1[/tex]st and [tex]2[/tex]nd digits so [tex]8[/tex] choices left.
[tex]4th[/tex] digit - This is left with [tex]7[/tex] choices.
[tex]5th[/tex]- On this [tex]2[/tex] uppercase letters required so choices we have are [tex]26[/tex].
[tex]6th[/tex]- On this we have to use uppercase so [tex]25[/tex] choices are left as repitition not allowed.
So Possibility of different license [tex]5 \times 4\times\times 8\times 7\times26\times 25=728000[/tex]
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Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7. The stock made $6,450 on top of the initial capital. If the payoff is done in the same ratio, how much does Gail get?
"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"
The amount that Gail will get is $5862.5.
What is Ratio?A ratio is a comparison of two quantities produced by dividing the first by the second. If a and b are two values of the same kind and with the same units, and b is not equal to zero, then the quotient a/b is known as the ratio between a and b. The colon sign is used to denote ratios (:). This means that the ratio a/b has no unit and can be expressed as a: b.
Given:
Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7.
The stock made $6,450 on top of the initial capital.
Total they made
= 3600+ 6450
= $10, 050
The pay off Jim get
= 10, 050 x 5/12
= 4187.5
and, the pay off Gail get
= 10, 050 x 7/12
= $5862.5
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What is the least degree of a polynomial equation that has 3i as a root with a multiplicity of 3?
Find an angle between 0 and 2π that is coterminal with 27 pi/10
helpppppppppppppppppppppp
Body temperatures are normally distributed with a mean of 98.6° f and a standard deviation of 0.19° f. what temperature represents the 95th percentile?
To find the temperature that represents the 95th percentile, calculate the z-score using the given formula and substitute the values in the equation. Using a standard normal distribution table, the temperature is approximately 98.93°F.
Explanation:To find the temperature that represents the 95th percentile, we need to calculate the z-score corresponding to the 95th percentile.
The z-score can be calculated using the formula: z = (x - μ) / σ, where x is the temperature, μ is the mean, and σ is the standard deviation. In this case, μ = 98.6°F and σ = 0.19°F.
By looking up the z-score in the standard normal distribution table, we can find the corresponding temperature.
Using a standard normal distribution table, we find that the z-score for the 95th percentile is approximately 1.645. Substituting the values into the formula, we get: 1.645 = (x - 98.6) / 0.19.
Solving for x, we find x ≈ 98.6 + (1.645 * 0.19) ≈ 98.9295°F.
Therefore, the temperature that represents the 95th percentile is approximately 98.93°F.
A lab is conducting a test to see if people prefer chocolate A or chocolate B. The steps in the test are outlined below: Step 1. Recruit one hundred volunteers and tell them the purpose of the study. Step 2. Give them chocolate A and ask them to rate the flavor. Step 3. Give them chocolate B and ask them to tell how delicious it is. Step 4. Reveal which chocolate they preferred. Which step could lead to biased results?
Answer:
Step 3
Step-by-step explanation:
By asking the participants how delicious chocolate B is, you can possibly create bias in the test. It is a leading question; these should not be asked to avoid creating bias.
What percent of 82.5 is 21.12
The 25.6 percentage of the number 82.5 is 21.12
Given data:
To find the percentage of 21.12 in relation to 82.5, the proportion is simplified as:
21.12 is to 82.5 as x is to 100.
This can be expressed as:
21.12/82.5 = x/100
On solving for x by cross multiplying:
21.12 * 100 = 82.5 * x
2112 = 82.5x
To isolate x, divide both sides by 82.5:
2112/82.5 = x
On simplifying:
25.6 ≈ x
Hence, 21.12 is approximately 25.6 percent of 82.5.
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A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime. What is the problem with reporting results this way?
Missing data
Correlation and causality
Answer:
Step-by-step explanation:
Given that a study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma.
The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime.
Only means should not be compared. variances of each sample should be ascertained and test for comparison of two means to be done to conclude that one mean is greater than the other.
Hence here problem is correlation and causality.
Fred is a weightlifter who can lift 800 pounds on 45% of his attempts. which of these expressions represents the probability fred will make 30 lifts out of 60?
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A cylinder tube with caps on both ends is used to safely carry a rolled up poster. The tube is 42 inches tall with a radius of 1.5 inches. If one mini can of spray paint covers 150 square inches, how many mini spray cans of red paint would be needed to cover the entire tube?
A. 3
B. 2
C. 1
D. 4
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white? 13 23 34 1516
Answer: The answer is 2/3.
is 6km ( <, >, or =) 660m?