Answer:
12 is the lcd
Step-by-step explanation:
because 12x1=12
and 2x6=12
Answer:
12
Step-by-step explanation:
Both 12 and 2 have the factor of 2 in common. (2)(12)/12 gives us the least common LCM (least common multiple) of 12.
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Brooke has $7 in an account that earns 10% interest compounded annually.
To the nearest cent, how much will she have in 2 years?
Assuming that no transaction happens in her account for those 2 years, the amount that Brooke will have in 2 years for given case is $8.47
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
We're specified that:
Initial amount in bank of Brooke = p = $7Interest rate = r = 10% = 0.10 (in decimal form), compounding annually.Due to annual appliance of the interest, we have n = 1The time for which this compounding will be done is t = 2 years.Thus, we get the final amount's value (after 2 years of compounding) for this case as :
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 7(1 + 0.10)^2 = 7 \times (1.1)^2 = 7 \times 1.21 = 8.47 \: (\rm in \: dollars)[/tex]
Thus, assuming that no transaction happens in her account for those 2 years, the amount that Brooke will have in 2 years for given case is $8.47
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help pls i dont undestand it can you help thanks
3.8/24 is 0.1407
to get to a percentage you x100
so the answer is 14.07%
A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos 48°)t and y = 6.1 + (24sin 48°)t − 16t 2. What is the height of the ball, in feet, when it is 13 feet from the free throw line? Round to three decimal places.
I know how to do this but I keep getting a negative answer, is there an error with the question or am I just doing it wrong
Maybe ur just not seeing the negative comment on this and tell me which way u are solving it and then i can help.
The height of the ball is 10.053 approx. when it is 13 feet from the free throw line .
What is free throw?
The physics aspect of shooting a free throw involves distance and deviation. Distance is determined by two factors: launch angle and launch speed. Players have a choice between shooting for a larger target by using more arc or going for a shooter's touch and shooting with their ideal arc for their height.
According to the question
A basketball player shoots a free throw, where the position of the ball is modeled
x = (24cos 48°)t
y = 6.1 + (24sin 48°)t − [tex]16t^{2}[/tex]
now
13 feet from the free throw line
x = 13 feet (horizontal distance)
x = (24cos 48°)t
(24cos 48°)t = 13
t ≈ 0.8059
putting values in y to get the vertical height
y = 6.1 + (24sin 48°)t − [tex]16t^{2}[/tex]
y = 6.1 + (24sin 48°)*0.8059 − [tex]16*( 0.8059)^{2}[/tex]
y ≈ 10.053
Hence, the height of the ball is 10.053 approx.
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The equations of three lines are given below.
Line 1: 3y - 2x+5
Line 2: 4x+6y= 2
Line 3:
+2
2
Answer:
Step-by-step explanation:
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Write the probability as a fraction in simplest form.
To number the pages of a book,2022 digits are used. How many pages are in the book?
Answer:
710
Step-by-step explanation:
Numeration of pages goes from 1.
9 pages with 1-digit numbers, from 1 to 9.
90 pages with 2-digit numbers, from 10 to 99.
So, 2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.
The rest of numbers are 3-digit.
2022-189/3 = 611 pages with 3-digit numbers.
Total pages = 9 + 90 + 611 = 710.
The number the pages of a book,2022 digits are used there are 8880 pages in the book.
Let's assume there are "x" pages in the book. Each page number requires a certain number of digits to represent. The number of digits required to represent a page number depends on the value of the page number itself.
For example:
Page numbers from 1 to 9 require 1 digit each.
Page numbers from 10 to 99 require 2 digits each.
Page numbers from 100 to 999 require 3 digits each.
And so on.
Since we're given that 2022 digits are used in total, we can set up an equation based on the above observations:
Number of 1-digit page numbers + Number of 2-digit page numbers + Number of 3-digit page numbers + ... = 2022
Now let's solve this equation to find the number of pages:
Number of 1-digit page numbers = 9 (from 1 to 9)
Number of 2-digit page numbers = 90 - 10 + 1 = 81 (from 10 to 99)
Number of 3-digit page numbers = 900 - 100 + 1 = 801 (from 100 to 999)
Substituting these values into the equation:
9 + 81 + 801 + ... = 2022
Now we need to find the number of terms in this sequence. Each term corresponds to a certain number of digits, and we want to find the smallest number of digits that will exceed 2022. We can try different numbers of digits until we find the correct one:
Number of 4-digit page numbers = 9000 - 1000 + 1 = 8001
Adding the terms up:
9 + 81 + 801 + 8001 = 8880
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A team won 60% of the games they played. If the team lost 12 games, how many games did they win?
well, we know they won 60% of the games, meaning 100% - 60% = 40%, they lost 40% of the games, and we also know that that number is 12.
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 12\\ 60& x \end{array} \implies \cfrac{40}{60}=\cfrac{12}{x}\implies \cfrac{2}{3}=\cfrac{12}{x} \\\\\\ 2x=36\implies x=\cfrac{36}{2}\implies x=18[/tex]
Which expression is equivalent to 6f+f?
Answer:
A
Step-by-step explanation:
This is because 6f+f is just 7f.
f f f f f f+f = fffffff
Soooo, ONLY A gives us 7f when added together again.
f+5f+f=7f.
f+ f f f f f +f = fffffff
Answer:
[tex]f + 5f + f[/tex] is equivalent to [tex]6f + f[/tex].
Step-by-step explanation:
You can plug in any numbers to both expressions and they will always have the same outcome.
For example, let's plug in 2.
[tex]6f + f\\6(2) + 2\\12 + 2 = 14[/tex]
[tex]f + 5f + f\\2 + 5(2) + 2\\2+10+2 = 14[/tex]
Hope this helps! :)
Which set of data is represented by the box plot?
Answer:
Step-by-step explanation:
It looks like the solution is the first set of data
{1, 4, 6, 10, 12, 14, 19, 20, 25 }
because: median is 12, Q1 is 6, Q3 is 19, yet the range is from 1 to 25 while the range of the box and whisker plot is 1 to 24.
So theoretically none of those sets represents the box plot.
Find the point at which the line f ( x ) = − 4 x − 2 intersects the line g ( x ) = − x − 2
Answer:
Step-by-step explanation:
f(x) = - 4x - 2
g(x) = - x - 2
y-intercept is common point for both equations ( 0 , - 2 )
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.
tan J=
tan K=
Applying the tangent ratio, the tangents of the acute angles in the right triangle are:
tan J = 5/3
tan K = 3/5
What is the Tangent Ratio?The tangent ratio is used to find the tangents of an angle in a right triangle, or any of the legs. It is given as tan ∅ = opposite/adjacent.
Applying the tangents ratio:
tan J = opp/adj = 5/3
tan K = opp/adj = 3/5
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Tara is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 15 inches × 12
1
3
inches. She needs to cut another rectangle that is 10
1
2
inches by 10
1
3
inches. How many total square inches of construction paper does Tara need for her project
Answer:
280 Square Inches
Step-by-step explanation:
This problem is formatted quited weirdley, but Im giving my best hand forward to solve it.
We are given 2 rectangular fingures, and we need to figure out the total area Tara requires for her project.
When approaching these problems I preferably like to form equations.
Area of Rectangle 1 + Area of Rectangle 2 = Total Area
Now we plug in the values
(15x12) + (10x10) = T
180 + 100 = T
280 = T
the difference between two numbers is 9. Find the numbers if their sum is 46
Answer:
[tex](\frac{55}{2} ,\frac{37}{2} )[/tex]
Step-by-step explanation:
We have to solve this system of equations in order to find the numbers :
Let x be greater number and y be the smaller one :
[tex]\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=\frac{55}{2} -9=\frac{37}{2} &\\ x=\frac{55}{2}&\end{cases}[/tex]
Katie and her brother are both writing a report. Katie wrote 7/8 of her report. and her brother 3/7 of his report. What is the best estimate of how much more Katie wrote than her brother?
Answer:
Katie has successfully completed 7/8 of her report
Which is a perfect square?
6 ^1
6 ^2
6 ^3
6 ^5
Answer:
B, because when you square 6 you get 36.
Factor this expression
Answer:
6(3x−4y)
Step-by-step explanation:
Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 2 starting at 10. Rule 2: Subtract 4 starting from 24. What is the first term that appears in both sequences? (2 points) Group of answer choices 10 14 20 26
Answer:
Step-by-step explanation:
Created Sequences
S1: 10 20 40 80 150
s2:24 20
The first term that appears in both sequences is the second term. Both of them equal 20.
I don't think you have to go any further once you get the first term.
Method
S1: Multiply by 2 starting with 10.
10*2 = 20
20*2 = 40
S2: Start at 24 and subtract 4
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12
What is the unknown fraction?
three tenths plus blank equals sixty one hundredths
A. thirty one hundredths
B. fifty eight hundredths
C. sixty four hundredths
D. one hundred and twenty two hundredths
Answer:
A. 31/100
Step-by-step explanation:
Change 3/10 to hundreds:
3/10 × 10/10 = 30/100
The denominator (the bottom number) must be 100.
61 - 30 is 31.
The missing number is 31/100. See image.
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The coordinate grid shown
represents a map of a park. A
portion of the park is going to be
upgraded with new playground
equipment and flowers
Part A
The portion of the park that is to
receive upgrades has the
following coordinates:
Part B
How much area, in square yards, will receive upgrades?
Part C
How much area, in square yards, will have red flowers?
Select locations of points
• Point A (-4,4)
• Point B (3, 4)
• Point C (3,-2)
• Point D (-4,-2)
Use the Add Point and Connect
Line tools to create the rectangle
ABCD.
Answer:
Part B : 42
Part C : 7
Step-by-step explanation:
After putting in the coordinate points the width of the rectangle is 7 units and the length is 6 units. 7*6 =42. Half of this is the area of the triangle, that is 21. Further , 1/3 of 21 is the same as 21 divided by 3, which equals 7.
What is the reclusive rule for this geometric sequence? -64, -16, -4, -1
Answer:
See below ~
Step-by-step explanation:
Finding the common ratio (r)
Divide a term by the term precedes (follows) itr = -16/-64r = 1/4r = 0.25 [Blank 1 answer]First term (a₁)
The first term in the sequence is the term from which the sequence startsa₁ = -64 [Blank 2 answer]Solve for x: −7 < x − 1 < 8
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
[Hello, blueface1728]
Answer:
[D] −6 < x < 9
Step-by-step explanation:
So, if a < u <b then a < u and u <b
-7 < x - 1 and x -1 < 8
Solving
-7 < x - 1 = x > -6
x - 1 < 8 = x < 9
Combine the intervals
-6 < x < 9
Now looking at the answer choice :
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Thus, the answer is [D] −6 < x < 9
Kavinsky
Can someone please teach me how to solve this question step-by-step?
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
1) Construct a probability tree (check the attachment).
1.1) Change the given items/values into fractions. In this case, there are 3 entrees, each with a probability of [tex]\frac{1}{3}[/tex] because the probability of selecting a hamburger (an example that could be applied to other options too) is 1 out of the 3 options. Likewise is the case with sides and drinks; the probability of selecting fries (or vegetable) out of the two options is [tex]\frac{1}{2}[/tex], and the probability of selecting milk (or juice) out of the two options is [tex]\frac{1}{2}[/tex].
2. Jessica ate 45 m&m's in a competition against her classmates. Jessica ate 60% of
the total m&m's eaten. How many m&m's were eaten in the competition?
A. 24
B. 75
C.106
D.27
Answer:
B. 75
Step-by-step explanation:
Note that we can get the equation [tex]45 = 60\% \cdot x[/tex], where x is the total number of m&m's eaten. This becomes [tex]45 = \frac{60}{100}x \Rightarrow 45 = \frac{3}{5}x \Rightarrow x = 75[/tex]
Colleen found this decorative cookie tin to use for sending cookies to her grandfather what is the volume of the cookies tin
Find the measure of angle geh
Answer:
Hello there buddy I’m here too help you with your homework
Your answer is
110°
Hope it’s helps you buddy
Have a nice day
Good luck with your homework
Step-by-step explanation:
~FluffyZaynBerry
HELP ME PLEASE!!
Find the length of segment SV.
A)
13/2
B)
26
C)
5.2
13
D)
V2
Applying the sine ratio, the length of segment SV (opposite side) in the right triangle is: D. 13/√2
What is the Sine Ratio?The sine ratio is used to solve a right triangle which is, sin θ = opp/hyp.
Given the following:
SU = 13 (hypotenuse)
θ = 45
SV = ? (opposite)
Note: sine 45 = 1/√2
Applying the sine ratio, we have:
sin 45 = SV/13
SV = sin 45 × 13
SV = 1/√2 × 13
SV = 13/√2
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Andy has $100 in an account. The interest rate is 6% compounded annually.
The equation that represent the amount in the account after t years is A = 100(1.06)^t
Compound interestThis is an interest on an amount of money. The formula for calculating the compound interest is expressed as;
A = P(1 + r)^t
P is the principal = 100
r is the rate = 6% = 0.06
If the interest is compounded annually, the equation that represent the amount in the account after t years is given a:
A = 100(1+0.06)^t
A = 100(1.06)^t
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Answer:
112.36
Step-by-step explanation:
I took the test on IXL and this was the question.
Andy has $100 in an account. The interest rate is 6% compounded annually.
To the nearest cent, how much will he have in 2 years?
What is the difference in length between the girls with the shortest and longest hair
Answer:
I think the difference is girls with longer hair look more attractive.
Step-by-step explanation:
Need the diagram....
What's 8 to the power of 4 divided by 8 to the power of 2 times 8 to the power of 3
Answer:
32768
Step-by-step explanation:
calculator. Brainly deleted my last answer when i did the step by step.
what is the equation of a circle with center at (3,-4) and radius of 3
Answer:
[tex]\displaystyle [x - 3]^2 + [y + 4]^2 = 9[/tex]
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle [x - h]^2 + [y - k]^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle [h, k].[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.
I am joyous to assist you at any time.