Answer:
don't see the relationship, but if it's a proportional relationship it should have the same result every time you divide the x by the y or vice versa.
Use the similar triangles below to find the height of the tree
Answer:
D. 44 feetStep-by-step explanation:
The ratio of corresponding sides is same for similar triangles:
H/5.5 = 24/3H = 5.5*8H = 44 feetCorrect choice is D
simplify
21m^2−122m+112/9m^2−196
Answer:
3m-8/7m+14
Step-by-step explanation:
Jamie Lee needs to save a total of $9,000 in order to get started in her cupcake café venture. She is presently depositing $1,800 a year in a regular savings account. Calculate the future value of these deposits.
Answer: 16,200,000
Step-by-step explanation: divide both numbers
The future value of her deposit would be in 5 years.
The total amount needed to start a cupcake cafe venture
= $9,000
Deposit per year = $1,800
Therefore, if $1,800 = 1 year
$9,000 = X
[tex]x = \frac{9000}{1800} [/tex]
[tex]x = 5[/tex]
Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.
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When bisecting segments and angles, which step is the same?
The function f(x) = mx + 5 is its own inverse. Find the value of m?
mx + 5 = (x - 5) / m
mx + 5 = x/m - 5/mAnswer:
Step-by-step explanation:
first find the inverse equation
y = mx + 5
y - 5 = mx
(y - 5) / m = x
(x - 5) / m = f⁻ˣ(x)
The original function is a line with slope m and y intercept of 5
The inverse function is a line with a slope 1/m and x intercept of 5
so the common line is where m = 1/m
m = 1/m
m² = 1
m = ± 1
The only line with a common slope between these two options is when
m = -1 and y intercept is 5
Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution
-2(x + 4) + 9x = 4 - 7x
If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ?
Answer:
Step-by-step explanation:
[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]
so it is concave upward at t=0
Please check the mcq in the following picture and thank you
Answer 2nd one
Step-by-step explanation:
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
io
14 cm
Answer:
1330.5 cm³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h . . . . . for radius r and height h
The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...
V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³
The volume of the cylinder is about 1330.5 cm³.
Answer:
1330.5
Step-by-step explanation:
Radius is half of diameter (11), so 5.5 was the other number I plugged in.
a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?
Answer:
$20
Step-by-step explanation:
correct me if im wrong(┬┬﹏┬┬)
The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?
Answer:
Step-by-step explanation:
c = children
a = adults
2200 people enter the zoo mean :
c + a = 2200
$4,550.00 is collected mean :
1.5 c + 4 a = 4550
Now you must solve system:
c + a = 2200
1.5 c + 4 a = 4550
c + a = 2200 Subtract c to both sides
c + a - c = 2200 - c
a = 2200 - c
1.5 c + 4 a = 4550
1.5 c + 4 ( 2200 - c ) = 4550
1.5 * c + 4 * 2200 - 4 c = 4550
1.5 * c + 8800 - 4 c = 4550
- 2.5 c + 8800 = 4550 Subtract 8800 to both sides
- 2.5 c + 8800 - 8800 = 4550 - 8800
- 2.5 c = - 4250 Divide both sides by - 2.5
c = - 4250 / - 2.5
c = 1700
a = 2200 - c = 2200 - 1700 = 500
1700 children and 500 adults
Proof :
c + a = 1700 = 2200
$ 1.5 * c + $ 4 * a =
$ 1.5 * 1700 + $ 4 * 500 =
$ 2550 + $ 2000 = $ 4550
The number of children and the number of adults are 1600 and 800, respectively.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.
A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.
Let x be the number of children and y be the number of adults. Then the equation is written as,
x + y = 2400 ...1
1.5x + 3y = 4800
x + 2y = 3200 ...2
Subtract equation 1 from equation 1, then
2y - y = 3200 - 2400
y = 800
Then the value of x is calculated as,
x + 800 = 2400
x = 2400 - 800
x = 1600
The number of children and the number of adults are 1600 and 800, respectively.
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An unopened bag of gummy bears weighs 2 1/3 ounces. Drayven has 3/4 of a bag of gummy bears and Akila has 2/3 of a bag. Who has more? If they put their bags together, would they have more than one bag? Explain your answer.
Answer:
Drayven has more
Step-by-step explanation:
If you look at the fractions through a drawing you would see that my claim is correct.
There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
40%
6/15 is 0.4. Multiplied by 100, that makes 40%.
In a group of 84 kids, three-sevenths bought their lunches.Of those who bought their lunches got a slice of pizza? Write your fraction in simplest form
Answer:
There's not enough information to answer the question.
Step-by-step explanation:
The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.
If 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2021 cats to kill 2021 mice
Step-by-step explanation:
168 hours I guess
have a food day
Use the information to complete the Venn diagram. 80 people surveyed on pets they own. 64 people indicated they owned a dog. 34 people indicated they owned a cat and a dog.
Answer:
34 will go in the middle of the two, 80 is everybody who voted, end 64 is the people that own the dog. No people on the cat
Step-by-step explanation:
there
4. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the Z statistic.
The z-test compares the two sample to determine the existence of a
difference in the two proportion.
The Z-statistic or test of the difference in proportion is approximately -2.106.Reasons:
The given parameter are;
Number of women, n₁ = 120 women
Number of men, n₂ = 150 men
The population size = 150,000
Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%
Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%
The Z statistic is given as follows;
[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]
Number of men = 0.37 × 150 = 55.5
Number of women = 0.25 × 120 = 30
[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]
Which gives;
[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]
The Z-statistic is approximately -2.106
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Consider the following equation.
x+2y=4
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.
State the rules for multiplying integers.
Answer:
If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.
7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?
(North Carolina Math 2)
A. $502 B. $512 C. $515 D. $525
Answer:
The answer is A
Step-by-step explanation:
0.2% of 500 is 1 so in two year she would have 502$
evaluate -x^3 - 3x^2 + 4 when x = -2
Answer:
32
Step-by-step explanation:
x = -2
-x^3 - 3x^2 + 4
-(-2)^3+6^2+4
8+36+4=48
Hope this helps :)
Which of the following tables does not represent a function?
Answer:
It's the 3rd option
Step-by-step explanation:
A function cannot have one value of 5 associated to more than one value on y
What is the equation of the line in slope-intercept form?
Answer:
y=3/5x+3
Step-by-step explanation:
3 is the y-intercept so that is the "b". To find the slope simply use rise/run.
find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).
The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:
FDT
[tex]-a\cdot e^{-x}+b = 0[/tex] (1)
[tex]b = a\cdot e^{-x}[/tex]
SDT
[tex]y''=a\cdot e^{-x}[/tex] (2)
Where [tex]y'' > 0[/tex].
If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:
[tex]10 = a\cdot e^{-1}+b[/tex] (3)
[tex]b = a\cdot e^{-1}[/tex] (4)
[tex]y'' = a\cdot e^{-1}[/tex] (5)
By (4) in (3):
[tex]10 = 2\cdot a\cdot e^{-1}[/tex]
[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]
[tex]a = 5\cdot e[/tex]
By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):
[tex]b = 5[/tex]
Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
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The perimeter of the triangle is
equal to the area of the rectangle.
What is the value of x?
Answer:
x=-21
Step-by-step explanation:
make the equation
2x+9x-1+40=6(x-11)
simplify
11x+39=6x-66
solve
5x=-105
x=-21
What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18 ? (1 point) a Add 3 to both sides b Subtract 18 from both sides c Multiply both sides by 3 d Divide both sides by 4
Answer:
a
Step-by-step explanation:
3/4 x - 3 = -18
You should try to get all of one term on one side of the equation, and have the constant on the other side so the next step would be easy.
Here are the steps after you add 3:
3/4 x = -15
x = -5/4 (divide by 3/4 on both sides)
Answer is in the screenshot:
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Answer:
THX for points XD
Step-by-step explanation:
M<1=m<5 true or false
Answer:
True
Step-by-step explanation:
Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5
Gus, Verid and their three children went to see a show.,
The children were charged half-price. If the total cost of the tickets was $94.50, how
much did each adult ticket cost?
Answer:
28.35 each adult
Step-by-step explanation:
can somebody help me with my language arts please???
Answer:
yes!
Step-by-step explanation: