Answer:
No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.
Step-by-step explanation:
When Anna starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.
So, no, the number of sit-ups Anna does, are not proportional to the time she spends doing them. his is because for being proportional, the decreasing or increasing rate should be constant but here, it is not.
Answer:she spends 22 seconds
The number of students at Marita`s school decreased to 90% of last year's number. Last year, there were 1,500 students. How many students are there this year
Answer:
1350
Step-by-step explanation:
We can write a proportion to find the total amount in the school this year using the information given. A proportion is two equivalent ratios set equal to each other. If 10% has decreased, then 90% is now left.
[tex]\frac{10}{100}=\frac{y}{1500}[/tex]
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
10(1500)=100(y)
15000=100y
y=150
Y is the number of students who are now gone. We subtract 1500-150=1350
Apple stock plummets and now you have to decide if you hold onto your stock in the hopes that it goes back up, or sell it at a loss. Apple stock is now selling or $54.76 a share. You have 2 shares. When you first bought them their total value was $226.10. What is their total value now?
The total value of 2 Apple shares at $54.76 each is $109.52, resulting in a loss of $116.58.
To calculate the total value of your Apple stock now, we'll first determine the total value of your shares at their current price and then compare it to their original total value.
Current price per share: $54.76
Number of shares you own: 2
Total value of your shares now:
= Current price per share × Number of shares
= $54.76 × 2
= $109.52
Original total value of your shares: $226.10
Now, let's compare the current total value with the original total value:
Current total value: $109.52
Original total value: $226.10
As the current total value is less than the original total value, it indicates a loss.
To find out the loss incurred, we subtract the current total value from the original total value:
Loss = Original total value - Current total value
= $226.10 - $109.52
= $116.58
Therefore, the total value of your Apple stock now is $109.52, and you have incurred a loss of $116.58.
The total value of your 2 shares of Apple stock now is $109.52.
To determine the total value of your Apple stock now, we first need to calculate the total value of the stock when you first bought it and then compare it to the current value.
1. Initial Total Value: You initially bought 2 shares of Apple stock. Let's denote the initial price per share as P. The total value initially is the product of the number of shares and the initial price per share.
Initial total value = Number of shares * Initial price per share
Initial total value = 2 shares * Initial price per share = $226.10
2. Initial Price per Share: To find the initial price per share, we divide the initial total value by the number of shares.
Initial price per share = Initial total value / Number of shares
Initial price per share = $226.10 / 2 shares = $113.05 per share
3. Current Total Value: Now, we find the current total value of your 2 shares at the current price per share, which is $54.76.
Current total value = Number of shares * Current price per share
Current total value = 2 shares * $54.76 per share = $109.52
So, the total value of your 2 shares of Apple stock now is $109.52.
a new car has a sticker price of 20950 while the invoice price paid was 18750. what is the dealer markup
11.73%
Step-by-step explanation:
The lee family buys a new car that has a sales price of 35,000. If the car dealer requires minimum down payment of 15% what is the minimum down payment the lees must pay for their car?
Answer:5250.00
Step-by-step explanation: percents are a multiplication so 35,000×15=5250.00
Answer:
$5,250
Step-by-step explanation:
The less must pay a minimum down payment that is equivalent to 15% the sales price of the new car.
Given that the price of the new car is $35,000, the product of 15% with this amount will equal the down payment.
As such, the down payment
= 15% * $35,000
= 0.15 * $35,000
= $5,250
Matrix M shows the one-way fares for four commuter train routes. Suppose the rail service lowers all fares by 15%. Which formula shows how to find the matrix that would display the new fares?
A) 0.15M
B) 0.85M
C) 1.15M
D) M - 0.15
Answer:
B) 0.85M
Step-by-step explanation:
The new fare schedule is the current fare schedule reduced by 15% of current fares:
... M - 0.15M = 0.85M
Find the cos(Θ) of an angle in standard position if the terminal side passes through the point (4, -8).
Note: Answer choices attached below
Look at the picture.
[tex]r=\sqrt{x^2+y^2}-\text{from the Pythagorean theorem}\\\\\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}[/tex]
We have the point
[tex](4,\ -8)\to x=4,\ y=-8[/tex]
Calculate r:
[tex]r=\sqrt{4^2+(-8)^2}=\sqrt{16+64}=\sqrt{80}=\sqrt{16\cdot5}=\sqrt{16}\cdot\sqrt5=4\sqrt5[/tex]
Substitute:
[tex]\cos\theta=\dfrac{4}{4\sqrt5}=\dfrac{1}{\sqrt5}\to\boxed{C)}[/tex]
(15 points)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 5√6
Answer:
Each of the legs of isosceles right triangle is 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Watch the attached figure for the isosceles right angled triangle
Looking at the figure we see that AB=5√6 and BC=CA
According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
1) Applying the Pythagorean theorem to the isosceles right triangle, we have
[tex]BC^{2} + CA^{2} = AB^{2}[/tex]
2) Let BC=a and CA=a as they both are equal
So,
[tex]a^{2} + a^{2} = (5\sqrt{6} )^{2}[/tex]
=> [tex]2a^{2} = (5\sqrt{6} )(5\sqrt{6} )[/tex]
=> [tex]2a^{2} = 5*5*\sqrt{6}*\sqrt{6}[/tex]
=> [tex]2a^{2} = 25*6[/tex] (since √6*√6 = (√6)²= 6)
=> [tex]2a^{2} = 150[/tex]
3) Dividing both sides by 2, we get
[tex]\frac{2a^{2} }{2} =\frac{150}{2}[/tex]
4) Cancelling out the 2's on the left, we get
[tex]a^{2}[/tex] = 75
5) Taking the square root on both sides, we have
[tex]\sqrt{a^{2}} = \sqrt{75}[/tex]
=> a = 5[tex]\sqrt{3}[/tex]
So,
Each of the legs of isosceles right triangle is 5[tex]\sqrt{3}[/tex]
Answer:
Hi :) if you're coming from heritage and/or your answer needs a 2 in it, it would be 6 sqrt 2
Step-by-step explanation:
Nancy is 5 yrs younger than her brother stan last year she was half as old as he was how old are they both
Answer: 11 and 6
Step-by-step explanation:
I think this is it because she is 5 years younger and last year she was half of his age so he was 10 then you have to add another year to their age because that was last year, 5+1=6, 10+1=11. but im not completely sure so if you can wait for someone else or if you agree go ahead and answer it.
We'll call the ages n and s
Nancy is 5 yrs younger than her brother Stan
n = s - 5
Last year she was half as old as he was
n - 1 = (1/2) ( s - 1 )
We substitute for n
s - 5 - 1 = (1/2) (s - 1)
2s - 12 = s - 1
s = 11
n = s - 5 = 6
Answer: Nancy is 6, Stan is 11
Check:
Clearly they're five years apart. Last year they were 5 and 10, half, good.
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If AB is congruent to BC, can you prove the triangles congruent by SAS. Please explain why or why not.
Answer:
no
Step-by-step explanation:
SAS stands for side angle side. so in this question we know that one side is equal to another side, but we don't know wether or not there is another angle and another side that is congruent. so for that reason it is not congruent by SAS.
Give a real world example of two similar situations in which one is proportional relationship and the second one is non proportional
Real world examples of proportional and non-proportional relationships can be observed in the relationship between the distance a car travels and the fuel consumed (proportional), and in an employee's pay scale (non-proportional).
Explanation:In the real world, one can identify numerous examples related to proportional and non-proportional relationships. For instance, consider the relationship between distance and fuel consumption in a car. Here, a car maintains a set distance per gallon ratio, which is a proportional relationship - if distance doubles, fuel consumed also doubles.
Contrasting this, the pay scale in many workplaces may illustrate a non-proportional relationship. For instance, if an employee works overtime, he/she may earn a higher rate, different from their regular hourly wage. In this case, a doubling of hours worked does not necessarily equate to a doubling of the total salary.
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A triangle has sides measuring 5 inches and 8 inches. If x represent the length in inches of the third side , which inequality gives the range of possible values for x ?
If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
1. x ≤ 5 ≤ 8 then x + 5 > 8 → x > 8 - 5 → x > 3 therefore 3 < x ≤ 5.
2. 5 ≤ x ≤ 8 then 5 + x > 8 → x > 3 therefore 5 ≤ x ≤ 8
3. 5 ≤ 8 ≤ x then 5 + 8 > x → 13 > x → x < 13 therefore 8 ≤ x < 13.
Answer: 3 < x < 13 → S = (3, 13)Answer:
3 < x < 13
Step-by-step explanation:
Since, a triangle is possible when the sum of any two sides is greater than the third side,
Given,
The sides of the triangle are 5 inches and 8 inches,
If x shows the third side,
Then, by the above statement,
x < 5 + 8 ⇒ x < 13
5 < x + 8 ⇒ -3 < x
8 < x + 5 ⇒ 3 < x
Hence, the required inequality gives the range of possible values for x is,
3 < x < 13
Each unit costs 14p how much does942 cost?????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
13188
Step-by-step explanation:
When you want to change a cell color, which menu should you select?
A) Fill drop-down menu
B) Font size drop-down menu
C) AutoSum drop-down menu
D)Shapes drop-down menu
To change a cell color in a spreadsheet program, one should select the Fill drop-down menu, found in the Home tab, to choose and apply a new color to the cell.
Explanation:When you want to change a cell color in a spreadsheet program such as Microsoft Excel, you should select the A) Fill drop-down menu. This is the option that allows you to change the background color of a cell. You can typically find the Fill drop-down menu in the Home tab of the ribbon at the top of your spreadsheet application. To change a cell's color, you simply click on the cell you want to format, then go to the Home tab, click the Fill drop-down menu, and choose the color you wish to apply.
The distance from the school to the corner is 0.9 kilometers. How many meters is this?
If there are 150 students surveyed and 23% is English 30% Science 15% Social Studies and Music is 12% What would the percent be for math be?
Answer:
it would be 20%
Step-by-step explanation:
out of 100% you would subtract the 23%, 30%, 15% and, 12% and you would get 20%
Huntington Park officials approved a rectangular plot of land for a Japanese Zen garden. Is it sufficient to know that opposite sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular? Explain
Answer: No, it is not sufficient to know that opposite sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular.
Step-by-step explanation:
1. You have the following information given in the problem:
- Opposite sides of the garden plot are congruent.
- Opposite sides of the garden plot are parallel.
2. Therefore, keeping the information above on mind, you can conclude that the description is about a parallelogram, but to determine that it is rectangular, you need to know that the four interior angles measure 90° and the diagonals are congruent.
Six groups of students at 162 balloons at school carnival with three students in each group
Answer:
9 balloons per student and 27 per group of 3 students.
Step-by-step explanation:
We have 6 groups of students with 3 students in each group. This means in group 1 there is 3. Groups 2 has 3. Group 3 has 3. Group 4 has 3. Group 5 has 3. Group 6 has 3.
So there are 3+3+3+3+3+3=18 total students.
The school carnival has 162 balloons, how much will each student have?
We will divide 162 balloons by the total number of 18.
162/18=9
9 balloons per student and 27 per group of 3 students.
Anthony who is 5 feet tall stands 20 feet from a lamppost and casts a shadow that is 10 feet long. If he moves 5 feet closer to the lamppost how long will his shadow be?
C = F Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT. AA SAS SSS NOT
Answer:
Might not be congruent
Step-by-step explanation:
You don't have enough information
Answer with explanation:
It is given that,In ΔABC and Δ DEF
∠C =∠F⇒⇒[Given]
To prove that two triangles are similar, we can use following Similarity axiom which are
a.→ AA
b.→S AS
c.→SSS
→Ratio of sides of two triangles should be proportional while proving similarity of two triangles.
But, Here between two triangles , only one angle is congruent ∠C and ∠F.So, we can't conclude that these two triangles that is, ΔABC and Δ DEF are similar.
Option D:→ Not
What number goes in the box so that \[x^2 + \boxed{\phantom{00}}x + 100\]is the square of a binomial? If you find more than one, give your answer as a list.
Since [tex]100=(\pm10)^2[/tex], the idea here is to find [tex]b[/tex] such that
[tex](x\pm10)^2=x^2+bx+100[/tex]
Expanding the left side completely, we find two possibilities:
[tex]x^2\pm20x+100[/tex]
so that [tex]b[/tex] can be either positive or negative 20.
The answer will be ±20
Let us consider a binomial (x ± a)
now squaring it we get [tex]x^{2}[/tex] ± 2ax + [tex]a^{2}[/tex]
If we compare it to the question we get [tex]a^{2} =[/tex] 100
⇒ a = ±10
According to the question we have to find the value of 2a
2a = 2×(±10) = ±20
Hence ±20 is the answer.
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Mr. Andrews has a classroom of 45 students. He wants to divide them equally into 5 teams for a group project.
How many students will be on each team? what the answer
Answer:
9
Step-by-step explanation:
45/5 = 9
Find h(x) if it is known that h(x+5)=3x+18.
[tex]h(x+5)=3x+18\\\\h(x)=mx+b\to h(x+5)=m(x+5)+b=mx+5m+b\\\\\text{Therefore we have}\ m=3\ \text{and}\\\\5m+b=18\to5(3)+b=18\\\\15+b=18\qquad\text{subtract 15 from both sides}\\\\b=3\\\\Answer:\ \boxed{h(x)=3x+3}[/tex]
To find the function h(x) when given h(x+5)=3x+18, we substitute x with (x-5) in 3x+18 to make h(x) = 3x+3.
Explanation:To find the function h(x), we need to replace (x+5) in the equation with x. The given equation is h(x+5)=3x+18.
We know that if we substitute x+5 with x in h(x+5), we must also substitute the x in 3x+18 with (x-5) to keep the equation and function consistent.
So, we replace x with (x-5) in 3x+18, and our new equation will be 3(x-5)+18.
This simplifies to 3x - 15 + 18, which further simplifies to 3x+3.
Consequently, the function h(x) = 3x+3.
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One square tile on your kitchen floor is 11.2511.25 inches long. It takes 12.512.5 tiles to cover the length of the floor. About how long is the floor?
Answer:
Length of the floor is about 11.75 feet.
Step-by-step explanation:
It is given that, it takes 12.5 tiles to cover the length of the floor.
The length of each square tile is 11.25 inches. So, if 12.5 tiles each of length 11.25 inches are joined, we will get to know the length of the floor.
So, the length of the floor is,
[tex]11.25 \times 12.5[/tex]
[tex]=140.625 \text {in}[/tex]
So the length of the floor is 140.625 inches or we can say roughly about 141 inches.
We can convert this length into feet.
1 feet = 12 inches, so the length of the floor in inches is,
[tex]\frac{141}{12} =11.75 \text {ft}[/tex]
So the length of the floor is 11.75 feet.
Real estate values in a town are increasing at a rate of 14% per year.
Mrs. Knoxville purchased a building for $590,000 in 2012.
How much can she expect to sell the building for in 2020, assuming this trend continues?
Enter your answer in the box.
Round to the nearest whole dollar.
Answer:
$1,093,026
Step-by-step explanation:
We have been given that real estate values in a town are increasing at a rate of 14% per year. Mrs. Knoxville purchased a building for $590,000 in 2012.
We are told that real estate values are increasing at a rate of 14%, this means that values of real estates are increasing exponentially.
Since we know that an exponential function is in form: [tex]y=a*b^x[/tex]; for growth b=(1+r), where r= growth rate in decimal form.
a= Initial value.
Let E(t) be value of real estates t years after 2012. Now let us substitute our given values in exponential function form.
Upon converting our increase rate to decimal form we will get,
[tex]14\text{ percent}=\frac{14}{100}=0.14[/tex]
[tex]E(t)=590,000*(1+0.14)^t[/tex]
[tex]E(t)=590,000*(1.14)^t[/tex]
Now let us substitute the value for building in 2020 by substituting t=8 as 2020-2012=8.
[tex]E(2020)=590,000*(1.14)^8[/tex]
[tex]E(2020)=590,000*2.8525864220672256[/tex]
[tex]E(2020)=1,683,025.989019663104\approx 1,683,026[/tex]
Now let us subtract 590,000 from 1683026 to find the amount that Mrs. Knoxville can get from selling the building.
1,683,026-590,000=1,093,026
Therefore, Mrs. Knoxville can get $1,093,026 from selling the building.
Factor the trinomial below
6x^2-9x-6
A. 3(2x+1)(x-2)
B. 3(2x=6)(x-1)
C. 3(2x+2)(x-1)
D. 3(2x+1)(x-6)
For this case we must factor the following expression: [tex]6x ^ 2-9x-6[/tex]
We test the options:
Option A:
[tex]3 (2x + 1) (x-2) =[/tex]
We apply distributive property for the first parenthesis:
[tex](6x + 3) (x-2) =[/tex]
We apply distributive property of the form:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
[tex]6x ^ 2-12x + 3x-6 =[/tex]
Different signs are added and the sign of the major is placed.
[tex]6x ^ 2-9x-6[/tex]
So, [tex]3 (2x + 1) (x-2) = 6x ^ 2-9x-6[/tex]
Answer:
Option A
Plz help
Which expression is equal to 228−−√−563−−√ ?
−377√
−7√
7√
−117√
Answer:
the correct answer is -11v7
Step-by-step explanation:
The correct expression that is equal to (2√28 - 5√63) is;
Option D; -11√7
The correct question is;
Which expression is equal to 2√28 - 5√63
The correct options are in the link at the end of this answer.
The given expression is in surd form. To solve it, we first have to break down the numbers inside the square roots into a product of two numbers with one of the numbers being a perfect square.
We know that;
28 can be expressed as 7 × 4 = 28
Also; 63 can be expressed as 7 × 9 = 63
Thus;
2√28 - 5√63 will be written as; 2√(7 × 4) - 5√(9 × 7)
From product law of surds, we know that;
√(a × b) = √a × √b
Thus, our expression is;
2(√4 × √7) - 5(√9 × √7)
⇒ 2(2√7) - 5(3√7)
⇒ 4√7 - 15√7
Factorize √7 out to get;
(4 - 15)√7
⇒ -11√7
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PLEASE HELP The Brick Corporation pays its cumulative preferred stockholders $1.95 per share. There are 40,000 shares of preferred stock and 80,000 shares of common stock. In 2001, 2002, and 2003, Brick Corporation did not declare a dividend. In 2004, the Board of Directors declared a $600,000.00 dividend. What is the amount that the common shareholder will receive per share?
Answer:
$5.00
Step-by-step explanation:
Dividend Per Share = Total Dividends Paid / Shares Outstanding
How many shares outstanding?
Preferred stock + common stock
80,000+40000=120000
Dividend Per Share = $600,000.00 /120000
=$5.00
The preferred shareholder gets 1.95 per share plus dividends.
The common shareholder only gets dividends.
Answer:
$3.60
Step-by-step explanation:
What is the value of x in the equation 2^2x = 2^3?
A.) x = 1.5
B.) x = 3
C.) x = 64
D.) x = 0.28
Answer:
B
Step-by-step explanation:
Phyllis Doran worked at Symmes Medical Center for 7 1/2 hours on Monday and from 8:00 a.M. Until 1:00 p.M. On Tuesday What is the total number of hours she worked
Final answer:
Phyllis Doran worked a total of 12.5 hours between Monday and Tuesday at Symmes Medical Center.
Explanation:
Phyllis Doran worked a total of two different shifts across Monday and Tuesday. On Monday, she worked for 7 1/2 hours. On Tuesday, she started at 8:00 a.m. and finished at 1:00 p.m., which is a 5-hour shift.
To find the total number of hours Phyllis worked, we add the hours from both days together.
Monday: 7.5 hours
Tuesday: 5 hours (since 1:00 p.m. is 5 hours after 8:00 a.m.)
Now, we sum these up:
Total hours worked = 7.5 hours + 5 hours = 12.5 hours.
So, Phyllis Doran worked a total of 12.5 hours between Monday and Tuesday at Symmes Medical Center.
What are the next three terms of 50,150,450,1350,...
Answer: 4,050, 12,150, 36,450
Step-by-step explanation: multiply each following number by 3
Answer:
4050; 12150; 36450
Step-by-step explanation:
[tex]a_5 = 50.3^4 \\\ a_5 = 4050 \\\ a_6 = 50.3^5 \\\ a_6 = 12150 \\\ a_7 = 50.3^6 \\\ a_7 = 36450[/tex]
I hope I helped you.