The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.
Given :
The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
The following steps can be used in order to determine the length of the hypotenuse:
Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.
Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
Step 3 - So, the length of the hypotenuse is calculated as:
[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]
Step 4 - Simplify the above expression.
[tex]H =30\;{\rm ft}[/tex]
Therefore, the correct option is D).
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Answer:
d
Step-by-step explanation:
The average diameter of a red blood cell is 0.000007m. calculate the radius. (Use formula: Radius= Diameter/2) Thank you in advance:))
Answer:
Radius = 0.0000035m
Step-by-step explanation:
0.000007m / 2 = Radius
Radius = 0.0000035m
Determine the decimal equivalent of 5 over 8
Answer:
3.125
Step-by-step explanation:
We know that
258
is the same as
25÷8
Then using
Long Division for 25 divided by 8
and rounding to a Max of 3 Decimal Places gives us
=3.125
How do you know 72/80 is greater than 7/8? Explain
Answer:
Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.
The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?
Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.
This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?The rule of three is:
3 people - 40 minutes
5 people - x minutes
Applying line multiplication:
[tex]5x = 120[/tex]
[tex]x = \frac{120}{5}[/tex]
[tex]x = 24[/tex]
It would take 24 minutes if there were 5 people distributing the pamphlets.
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pls help pls no links
Answer:
d
Step-by-step explanation:
when you are dividing like numbers with different exponents, subtract them
The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch 88 and tag them. A month later, they capture 600 wallabies and notice that 44 have tags. To the nearest viole number, what is the best estimate for the TOTAL wallaby population using ratios?
The best estimate for the total wallaby population is 1200.
Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:
44 = 600 88 = X 88 x 600/44 = X 1200 = X
Therefore, the best estimate for the total wallaby population is 1200.
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help was i correct please help for brainlist!!!!!!!!!!!!!!
You're correct! we can see the population is not going down by half each time, so that eliminated b and c. Since we start with 5000, this makes c the right answer.
Hope this helps :)
Answer: c
Step-by-step explanation:
How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
Answer:
0.60
Step-by-step explanation:
If you purchase 6 rolls, you pay $3.60
Each roll is $0.60.
If you purchase 13 individual rolls, you pay
13 x 0.6 = $7.80
But if you purchase the Baker's dozen, you pay only $7.20, so you save $0.60
7.80 - 7.20 = 0.60
Answer: 0.60
Step-by-step explanation:
If you purchase 6 rolls, you pay $3.60
Each roll is $0.60.
If you purchase 13 individual rolls, you pay
13 x 0.6 = $7.80
But if you purchase the Baker's dozen, you pay only $7.20, so you save $0.60
7.80 - 7.20 = 0.60
sign of \dfrac{23}{45} + \left(-\dfrac{23}{45}\right)
45
23
+(−
45
23
)start fraction, 23, divided by, 45, end fraction, plus, left parenthesis, minus, start fraction, 23, divided by, 45, end fraction, right parenthesis
An expression can either be positive, negative or none.
The sign of the expression is neither positive nor negative.
The fraction expression is given as:
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right)[/tex]
Open the bracket
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23}{45}-\dfrac{23}{45}\right[/tex]
Take LCM
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23 - 23}{45}[/tex]
Simplify the numerator
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{0}{45}[/tex]
Divide 0 by 45
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = 0[/tex]
0 is neither positive nor negative.
Hence, the sign of the expression is neither positive nor negative.
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Determine whether the quadratic function shown below has a minimum or
maximum, then determine the minimum or maximum value of the function.
f(x) = –2x2 - 4x-8
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Step-by-step explanation:
Which of the functions below could have created this graph? O A. F(x) = - x ^ 0 + x ^ 3 - x ^ 2 O B. F(x) = - x ^ 2 + 4x ^ 3 - 2x ^ 2 C. F(x) = x ^ 9 + 12x ^ 8 + x ^ 7 D. F(x) = x ^ 2 + 4x ^ 4 + 20x ^ 2
Answer:
B
Step-by-step explanation:
even roots bounce at (0,0)
negative leading coefficient: initial graph descending to right, curve up
4 local extremes means remaining 5 degree of the function
The function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph. which is the correct answer would be an option (B).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To create a graph of the function F(x) = - x⁷ + 4x³ - 2x², you can follow these steps:
Choose a range of x-values to use for the graph. For example, you might choose x = -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2.
Substitute each x-value into the function to find the corresponding y-value. For example, if x = -1, then y = F(-1) = - (-1)⁷ + 4(-1)³ - 2(-1)² = -1 + 4 + 2 = 5.
Plot the points (x, y) on a coordinate plane. For example, you would plot the point (-1, 5) on the coordinate plane.
Connect the points with a smooth curve to create the graph of the function.
Therefore, we can conclude that function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph.
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As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?
The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.
The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195Reasons:
The given parameter are;
Loan amount, the principal, P = $9,900
Duration of the loan = 10 years
Loan interest rate, R = 4.29%
Required:
The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.
Solution:
Based on a similar question on an online source, we have;
Interest, I = P × R × T
Where;
T = The time = The time the freshman is in school + 6 months
Therefore, normally, we have;
T = 4 years + 6 months = 4.5 years
R = 4.29% = 0.0429
Therefore;
Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195
The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195
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Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.
Using it's formula, it is found that the mean of the data set is of 4.1 shirts.
The mean of a data-set is the sum of all observations divided by the number of observations.In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Hence:
[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]
The mean of the data set is of 4.1 shirts.
For more on the mean of a data-set, you can check https://brainly.com/question/24628525
In a week, Tracy earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45. How much does Kayla earn?
Answer:
$57.45
Step-by-step explanation:
102.45=2x-12.45
2x= 102.45+12.45
2x=114.90
x= 114.90/2
x=$57.45
5. What are the slope and y-intercept of the graph of y= 30 + 5?
What does eight divided by 4/5 equal
Answer:
0.4
Step-by-step explanation:
I used a calculator so it should be correct
Please answer my question
Answer:
y=14x
Step-by-step explanation:
cos^-1(cos 43°)
PLEASE HELP ME
[tex] \: \: \: \: \: [/tex]
[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]
Step-by-step explanation:
[tex] \cos( - 1) ( \cos(43°)) [/tex]
simplify the expression usiNg the symmetry of trigonometry[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]
hope it helps[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]
Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:
twenty one thirty fifths
twenty one fifths
four fifths
ten fifths
Answer:
1 a is your answer
Step-by-step explanation:
mark brainlest pls and i hope this helps
Translate each of the following algebraic expressions into word phrase.
7x-7
The information is on the image
4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.
Answer:
2000 families read the newspaper in the Nepali language.
1800 families read it in the English language.
3800 families read the newspaper in both.
Step-by-step explanation:
#1. individual
convert % to decimal ( x ÷ 100 )
0.5 x 4000 = 2000
0.45 x 4000 = 1800
#2. together
2000 + 1800 = 3800
OR
50 + 45 = 95
95 ÷ 100 = 0.95
0.95 x 4000 = 3800
solve for x & y
please and thank you
Answer:
x=10, y=20
Step-by-step explanation:
3x+10=5x-10
2x=20
x=10
4y=5x-10+3x+10
4y=8x
y=2x
y=20
Hope it helps.
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A rental car company charges $51 per day to rent a car and $0.14 for every mile driven. Damian wants to rent a car, knowing that: He plans to drive 250 miles. He has at most $290 to spend. Use the drop-down menu below to write an inequality representing dd, the total number of days Damian can rent the car while staying within his budget.
Answer: Damian can rent the car for 5 days.
Step-by-step explanation:
Money for 250 miles driven - 0.14*250= 35
Day 1 - 35+51= 86
Day 2 - 86+51= 137
Day 3 - 137+51= 188
Day 4 - 188+51= 239
Day 5 - 239+51= $290
The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?
Answer:
x = 14Step-by-step explanation:
Direct variation equation:
y = kx, where k is constant of variationGiven:
96 = 8kk = 96/8k = 12The equation is:
y = 12xFind the value of x when y = 168:
168 = 12xx = 168/12x = 14Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission? A 2-column spreadsheet showing Cash Inflows and Cash Outflows. Cash inflows are Disposable income 4,165 dollars, interest on savings 0 dollars, income from stocks 50 dollars, with total cash inflow 4,215 dollars. Cash outflows are mortgage 1,000 dollars, homeowner's insurance 60 dollars, car payment 373 dollars, car insurance 125 dollars, stock purchases 200 dollars, life and health insurance 150 dollars, retirement plan 500 dollars, utilities 235 dollars, cable/phone 160 dollars, groceries 600 dollars, recreation 550 dollars, with total cash outflow 3,953 dollars. a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace? Please select the best answer from the choices provided A B C D
Answer:
Yes its D
Step-by-step explanation:
Correct on edg. 2021
The question that points out his most serious omission from the monthly budget preparation is d. What if you need to replace the furnace?
What is a monthly budget?A monthly budget is an outline of the cash inflows and cash outflows from a person's or firm's account during a month's period. It tracks cash inflows based on income and the outflows in expenses.
The preparation of a monthly budget helps in financial planning and control by tracking expenses and income.
Thus, the most relevant question that deals with a budget overlook is not about losing stock income, going to the doctor, increased electric bill but Option D.
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What is the mass of a litter of 9 baby opossums?
Answer:
It is approximately 0.13 grams.
Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
The cost of labour per hour is $65.
Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.
We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now, according to question 157+3.75×x=400.75
⇒3.75x=400.75-157
⇒3.75x=243.75
⇒x=243.75/3.75
⇒x=65
Therefore, the cost of labour per hour is $65.
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Plz help brainiest to the correct answer!
Answer:
1. x (multiplication)
2. / (division)
3. - (subtraction)
4. - (subtraction)
5. / (division)
Step-by-step explanation:
1. 24 x 3/4= 18
2. 24/-3/4=-32
3. 12- 15= -3
4. 12- (-15)= 12 + 15 = 27
5. -18 / -3/4= 24
#a
[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]
HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE
Its the first equation, y < -1/3x +2