The product of the numbers in scientific notation is 4.16 × 10⁻⁵
Given data:
To calculate the product, we multiply the coefficients and add the exponents of 10:
(5.2 × 10⁻²) × (8.0 × 10⁻⁴) = 5.2 × 8.0 × 10⁻² × 10⁻⁴
Multiplying the coefficients:
5.2 × 8.0 = 41.6
Adding the exponents of 10:
10⁻²× 10⁻⁴ = 10^(-2 - 4) = 10⁻⁶
Putting it all together:
(5.2 × 10⁻²) × (8.0 × 10⁻⁴) = 41.6 × 10⁻⁶
Hence, the final answer in scientific notation is: 4.16 × 10⁻⁵
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A square has a perimeter of 48 in. Find the perimeter of a triangle with each side 4 inches longer than the side of the square.
Answer:
48 in.
Step-by-step explanation:
square
P = 4s
4s = 48 in.
s = 12 in.
triangle
s = 12 in. + 4 in.
s = 16 in.
P = 3s = 3(16 in.)
P = 48 in.
Given triangle ABC is similar to triangle DEF , calculate the value of BC. Picture is below
Hello! :)
Answer:
[tex]\huge\boxed{BC = 6.4 }[/tex]
Given ΔABC ~ ΔDEF, we can set up a proportion to solve for BC, where:
[tex]\frac{AC}{DF} = \frac{BC}{EF}[/tex]
Let BC = x:
[tex]\frac{8}{15} = \frac{x}{12}[/tex]
Cross multiply:
[tex]8 * 12 = 15 * x[/tex]
[tex]96 = 15x[/tex]
[tex]x = 6.4[/tex]
Therefore, BC = 6.4 units.
Hope this helped you!
A researcher wants to use a confidence interval to estimate the proportion of college students in his state who plan to vote in the 2020 presidential election. He plans to randomly sample 120 college students, and plans to construct a 95% or 99% confidence interval. Which of these confidence intervals will be wider, and why
Answer:
99% confidence interval will be wider because as the level of confidence increase the width increases as well and the standard error decreases
Step-by-step explanation:
The confidence interval is directly proportional to the sample size hence the 99% confidence interval will be wider than the 95% confidence interval of the sample of 120 college students
using a 99% confidence interval gives a more accurate result than a 95% confidence because the standard error decreases with increase in confidence interval
You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.
Answer:
Hope I helped! Brainleist!
Step-by-step explanation:
you get $12/week
and you have $
your equation is
y=12x
now...
y = 384
so
384=12x
x= 32
If it takes 2 whole cups of chocolate chips to make 100 cookies, how many cups of chocolate chips do you need to make 25 cookies?
Answer:
1/2 cup
Step-by-step explanation:
We can use ratios to solve
2 cups x cups
--------------- = ----------------
100 cookies 25 cookies
Using cross products
2 *25 = 100x
50 = 100x
Divide by 100
50/100 = x
1/2 = x
Solve the equation for x
Answer:
the answer is 5
Step-by-step explanation:
2x/5 - 9 = -7
2x/5 = -7 + 9
2x/5 = 2
2x = 2 * 5
2x = 10
x = 10/2
x = 5
Answer:
x = 5
Step-by-step explanation:
2
--- x - 9 = -7 add 9 both sides
5
2
--- x - 9 + 9 = -7 + 9
5
2
--- x = 2 multiply both sides by 5
5
2
5 * --- x = 2 * 5
5
2x = 10
x = 10 / 2
x = 5
True, sometimes true, or false?
The multiple of two consecutive integers is positive
Answer: sometimes true
Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove
f(x)=2-3x domain= {-1,0,1,2}
Answer:
range = {5, 2, -1, -4}
Step-by-step explanation:
Maybe you want the corresponding range.
f({-1, 0, 1, 2}) = 2 -3{-1, 0, 1, 2} = 2 +{3, 0, -3, -6} = {5, 2, -1, -4}
please i need help asap lol
A baseball league is holding registration for both a men's league and a women's league. Only a total of 546 players can register, and each team consists of exactly 13 players. If 25 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register? A. 25(13) + 13m 546 C. 25(13 + 13m) 546
Answer:
546 - 25 x 13 (divided by) 13
546 - (25 x 13) / 13
Step-by-step explanation:
25 x 13 = 325
546 - 325 = 221
221 / 13 = 17
17 mens teams can register.
Answer:
[tex]25(13)+13m\leq 546[/tex]
A
Step-by-step explanation:
Each team can only consists of thirteen players. Therefore, by letting w represent the number of women's teams and m the number of men's teams, the total number of players is represented by the equation:
[tex]13w+13m[/tex]
The total number of players cannot surpass 546. In other words, it must be less than or equal to. Therefore:
[tex]13w+13m\leq 546[/tex]
We are given that that 25 women's teams have already signed up. To find out the possible number of men's teams that can sign up, we can substitute 25 for w and then solve for m.
Therefore:
[tex]25(13)+13m\leq 546[/tex]
In conclusion, the answer is A.
The sum of two consecutive odd integers is at least 36, find the integers
Answer:
The two integers are greater than or equal to 17 and 19
Step-by-step explanation:
Consecutive odd integers means 1, 3, 5, 7, 9 and so on
That means there is a always a gap of 2 in between each of them. Knowing this, we can set up an equation. Let x represent the first of the consecutive integers.
x+(x+2)=36
x+2 represents the second consecutive interger
x+x=34
2x=34
x=17
The two integers are 17 and 19
PLEASE HELP TO BE MARKED THE BRAINLIEST
Answer:
4. m_LON + m_MON = m_LON; m_JKL + m_IKH = m_HKJ
Step-by-step explanation:
Both interior angles of each add up to m_LON:m_HKJ
To prove this we show the interior angles add + sign to each prove LON angle, and : colon separates from the proof of m_JKL+m_IKH= m_HKJ.
what is the area of a circle if the diameter is 16 millimeters?
━━━━━━━☆☆━━━━━━━
▹ Answer
A ≈ 201.06 mm²
▹ Step-by-Step Explanation
A = πr²
Radius = 1/2d
Radius = 1/2(16)
Radius = 8
Substitute:
A = π8²
A ≈ 201.06 mm²
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
The answer is 201 mm²Step-by-step explanation:
Area of a circle is given by πr²
where r is the radius
To find the radius we use the formula
radius = diameter / 2
From the question
diameter = 16mm
radius = 16 / 2 = 8mm
So the area of the circle is
π(8)²
= 64π
= 201.061
= 201 mm² to the nearest whole number
Hope this helps you
Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)
Answer:
3(-8 + 1) = 3(-8) + 3(1)
Step-by-step explanation:
The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here
The first two are the communitive property of addition, and the last one is the communitive property of multiplication.
Cheers.
Answer:
c
Step-by-step explanation:
Which fractions are equal to 0.375?
Answer:
375/ 1000
Step-by-step explanation:
it is technically correct
Step-by-step explanation:
Convert 0.375 to a simplified fraction by setting up our equation like this:
[tex]\frac{375}{1000} =\frac{x}{y}[/tex]
Then, we find the GCF for both numbers, which is 125. So, we divide both numbers by 125.
[tex]\frac{375}{125}=3\\\\\frac{1000}{125}=8[/tex]
Our simplified fraction: 3/8.
To find more equivalent fractions, multiply the numerator and denominator by the same number (example: 2, 3).
Some fractions equal to 0.375:
[tex]\frac{3}{8}, \frac{6}{16}(*2), \frac{9}{24} (*3)[/tex]
I hope I've helped you out!
What is the asymptote of the function g(x) = 5⋅2^ 3x + 4 shown on the graph?
Answer:
y=4
Step-by-step explanation:
An exponential function of the form has a horizontal asymptote of .
The given function is .
The graph of the given function is shown in the attachment.
From the graph the horizontal asymptote is
Find the value of x needed to make the equation below true. *
-4(1.5x-5)+4x=26
Answer:
-3
Step-by-step explanation:
First we need to distribute the -4.
-6x+20+4x=26
-2x+20=26
subtract 20 on both sides
-2x=6
divide out -2
x=-3
Translate the following phrase into an algebraic expression using the variable m. Do not simplify,
the cost of renting a car for one day and driving m miles if the rate is $39 per day plus 45 cents per mile
Answer:
y = 0.45X + 39
If the amount of VAT paid for an item at 13% was Rs 390, at what price was the item sold?
Answer:
Step-by-step explanation:
Let the price of the item = Rs x
13% of x = 390
[tex]\frac{13}{100}*x=390\\\\\\x = 390*\frac{100}{13}\\\\\\[/tex]
x = Rs. 3000
7.45 x 10^3 in standard notation
Answer:
7450
Step-by-step explanation:
Move the decimal to the right 3 times.
The standard notation is 7450
What is standard notation?Standard and scientific notation are the ways to represent numbers mathematically. We write numbers in standard and scientific notations using the rules for respective mathematical concepts. Here, 7.56×1011 7.56 × 10 11 is a scientific notation. 756,000,000,000 756 , 000 , 000 , 000 is standard notation.
Given:
7.45 x 10^3
So, when there is multiplication in decimals then the decimal point would shift to the right side.
Then,
7.45* 1000
=7450
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Choose all true statements.
All real numbers are rational numbers.
Some rational numbers are natural numbers.
No real numbers are irrational numbers.
All whole numbers are integers.
Some integers are natural numbers.
No rational numbers are integers.
Answer:
- All real numbers are rational numbers. FALSE
- Some rational numbers are natural numbers. TRUE
- No real numbers are irrational numbers. FALSE
- All whole numbers are integers. TRUE
- Some integers are natural numbers. TRUE
- No rational numbers are integers. FALSE
Answer: B,D, and E
Step-by-step explanation:
A. All real numbers are rational numbers.
B. Some rational numbers are natural numbers
C.No real numbers are irrational numbers.
D.All whole numbers are integers.
E. Some integers are natural numbers.
F. No rational numbers are integers.
Complete the statements. f(4) is . f(x) = 4 when x is
Answer:
x=4
Step-by-step explanation:
it's a identity function because it is in the form of f(x)= x ,so the value of x is 4.
find the midpoint of the line segment whose endpoints are
(5,9) (2,-1)?
Answer:
(3.5,4)
Step by step explanation:x coordinate =
[tex] \frac{5 + 2}{2} [/tex]
= 3.5
y coordinate =
[tex] \frac{ - 1 + 9}{2} [/tex]
= 4
midpoint = (3.5,4)
Answer:
( 3.5,4)
Step-by-step explanation:
To find the midpoint
Add the x coordinates together and divide by 2
(5+2)/2 = 7/2 = 3.5
Add the y coordinates together and divide by 2
(9+-1)/2 = 8/2 = 4
( 3.5,4)
William and
Debra
Pierce are celebrating their
20th anniversary by having a reception at a local reception hall. They have budgeted
$2,000 for their reception. If the reception hall charges a
$50 cleanup fee plus
$36 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
54
Step-by-step explanation:
i put in the calculator 50+36×54= and got this 1,994
Use the concept of slope to find t such that the three points are collinear. (-8,5) (0,t) (2,-1)
Answer:
t = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Since the points are collinear they lie on the same line.
Thus the slopes between any of the 3 points are equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)
m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]
Repeat using
(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m
m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(t - 5) = - 24 , that is
5t - 25 = - 24 ( add 25 to both sides )
5t = 1 ( divide both sides by 5 )
t = [tex]\frac{1}{5}[/tex]
Combine the radicals. 3√5-8√5+2√5
Answer: [tex]-3\sqrt{5}[/tex]
-3 times the square root of 5
=============================================
Explanation:
Let [tex]x = \sqrt{5}[/tex]
Replace all the root 5 terms with x and we go from
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]
to
[tex]3x-8x+2x[/tex]
From here, combine like terms to get
[tex]3x-8x+2x = -5x+2x = -3x[/tex]
and the last thing to do is replace the x with sqrt(5)
[tex]-3x = -3\sqrt{5}[/tex]
Meaning that,
[tex]3x-8x+2x = -3x[/tex]
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
25. Solve for x.
[tex] \frac{x}{20} = \frac{1}{5} [/tex]
HELP as fast as you can if possible plz. thank you.
Answer:
x = 4
Step-by-step explanation:
x * 5 = 20 * 1
x = 4
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
Hey there!
Well to solve for x we need to cross multiply,
x/20 = 1/5
5x = 20
Divide both sides by 5
x = 4
Hope this helps :)
Review what you know about products and sums represented by rectangular area models. [5 points] Use algebra tiles to multiply (x-1)(3x+2).
3x^2 - x - 2
What are some ways to solve an equation?
Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.
How do you evaluate an equation?
∫ y2+y−2dy ∫ y 2 + y − 2 d y∫ 2 1 y2 +y−2dy ∫ 1 2 y 2 + y − 2 d y∫ 2 −1 y2 +y−2dy ∫ − 1 2 y 2 + y − 2 d y= (x - 1)(3x + 2)
= 3x^2 + 2x - 3x - 2
= 3x^2 - x - 2
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How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
A jar contains only red, white and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how any of them are blue?
•120
•200
•150
•184
Answer:
200
Step-by-step explanation:
i multiplied the answer choices by the fractions and 200 was the one that checked out
