The hypοtenuse's length is c = 17.
Hοw dο yοu figure οut hοw lοng the hypοtenuse is?Add the square rοοts οf the οther sides tο find the hypοtenuse. Tο find the shοrter side, subtract the squares οf the οther sides, then take the square rοοt.
Using the Pythagοrean theοrem, we can calculate the length οf the right triangle's missing side:
\(a^2 + b^2 = c^2\)
where a, b, and c are the lengths οf the triangle's legs, and c is the length οf the hypοtenuse.
The lengths οf the twο legs are given in this case: a = 8 and b = 15. Sο we can plug the fοllοwing values intο the equatiοn:
\(8^2 + 15^2 = c^2\)
\(64 + 225 = c^2\)
\(289 = c^2\)
When we take the square rοοt οf bοth sides, we get:
\(c = \sqrt{(289)} = 17\)
As a result, the hypοtenuse length is c = 17.
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1Last year, a city received 16.4 inches of snow. This year, the same city received 7.91 inches of snow
What was the difference in the amounts of snowfall?
08.49 inches
8.51 inches
9.87 inches
9.51 inches
Answer: 8.49 inches
Step-by-step explanation:
16.4-7.91=8.49 inches
please help due in 3 min
Answer:
(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so
Step-by-step explanation:
h(x) = 6-x
h(10) = 6-10
h(10) = -4
So,
h(10)*h(10) = (-4)*(-4)
h(10)*h(10) = 16
The final answer is 16
Answer:
h≤6 that should be the answer
Is this a function or not a function?
(6, 3) (5, 3) (4, 3) (3, 3)
Please help me with this homework
Answer:
7. A=48
8.B=30
9. C=188
10. D=18
11. X=32
12.Y=40
Step-by-step explanation:
Answer:
7. \(a=48\)
8. \(b=30\)
9. \(c = 188\)
10. \(d = 18\)
11. \(x = 32\)
12. \(y = 40\)
Step-by-step explanation:
Let's do something called cross-multiplication. It's exactly what it sounds like, we multiply the top number with the denominator across the multiplication.
\(\frac{33}{a} = \frac{11}{16}\)
\(11 a = 33(16)\)
\(11a = 528\)
Now we can simplify.
\(a=48\)
So we got the answer for the first one. We can keep doing the same thing for the others.
the owner of a natural foods store made 20 lb of a dried fruit and granola blend that is 50% dried fruit by mixing a dried fruit and granola blend that is 20% dried fruit with a blend that is 60% dried fruit. how many pounds of each type were used to get the desired blend?
Answer:
see below
Step-by-step explanation:
20 lb of a dried fruit and granola blend 50% dried fruit
mixing 20% dried fruit x lbs
60% dried fruit y lbs
x+y=20 so x=20-y
0.2x+0.6y =0.5*20 =10
0.2(20-y) +0.6y=10
4 -0.2y+0.6y =10
0.4y =6
y=15
x=5
write the first five terms of the sequence with the given nth term. an = − 4 5 n
the first five terms of the sequence are:
-4/5, -8/5, -12/5, -16/5, -4
To find the first five terms of the sequence with the nth term given by an = -4/5n, we substitute the values of n from 1 to 5 into the nth term expression.
For n = 1:
a1 = -4/5(1) = -4/5
For n = 2:
a2 = -4/5(2) = -8/5
For n = 3:
a3 = -4/5(3) = -12/5
For n = 4:
a4 = -4/5(4) = -16/5
For n = 5:
a5 = -4/5(5) = -20/5 = -4
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Find an exponential function of the form f(x) = ba-x + c that has the given horizontal asymptote and y-intercept and passes through point P. (Exact answers only; decimal approximations will be marked incorrect.)
y = 72; y-intercept 429; P (1, 645/4)
a =
b =
c =
The exponential function that satisfies the given conditions is\(f(x) = 357e^{(-x)} + 72.\)
What is the exponential function that meets the given criteria?The exponential function that satisfies the given conditions is \(f(x) = 357e^{(-x)} + 72\).
This function has a horizontal asymptote at y = 72, indicating that as x approaches infinity, the function approaches a value of 72. The y-intercept is 429, which means that when x = 0, f(x) equals 429.
The function also passes through the point P (1, 645/4), which means that when x = 1, f(x) equals 645/4.
The value of a, which determines the overall scaling of the function, is not explicitly given. However, it can be calculated by substituting the coordinates of point P into the function and solving for a.
By substituting x = 1 and f(x) = 645/4 into the function, we can solve for a and find that a = 5/4.
In summary, the exponential function that satisfies the given conditions is \(f(x) = 357e^{(-x)} + 72\), with a = 5/4.
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How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a
Answer:
In order of the questions asked, the answers are, C, D, A, C
Step-by-step explanation:
After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.
if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D
the isotope for dating organic remains is A. carbon-14
for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460
so the answer is C
\( \frac{ - 4}{5} + - 31 \times \frac{3}{5} \)
help
Hey there!
ANSWER: \(\frac{-97}{5}\)EXPLANATION:\(\frac{-4}{5}+-31*\frac{3}{5}\)
Keep denominator same and add parenthesis to 3/5.
\(\frac{-4}{5}+-31*(\frac{3}{5})\)
Here is your answer.
\(\frac{-97}{5} (ANSWER)\)
Hope this helps!
\(\text {-TestedHyperr}\)
What happens when you see 42 (17 – 15) / (3 + 1) – 5 ? What do you do first? The mnemonic PEMDAS or Please Excuse My Dear Aunt Sally can help you remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If your expression doesn't have every type of operation, the order of operations is still the same. If it is missing one, just skip it and move on to the next operation. Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9
Answer:
The operations done first are:
a) 42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first
b) 42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first
Step-by-step explanation:
from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:
(17 - 15) = (2) ; and (3 + 1) = (4) ; hence the expression will be simplified as follows: 42 (2) / (4) - 5.
Next, since there is no exponent in the expression, Multiplication follows:
42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5
Next division follows : 84/4 = 21, therefore the expression becomes
21 - 5.
Finally, subtraction follows : 21 - 5 = 16
b) 5 + 7 x 2 - 9;
first, multiplication is done: 7 × 2 = 14, hence the expression becomes :
5 + 14 - 9.
Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:
19 - 9.
Finally, subtraction follows: 19 - 9 = 10
Answer:
multiply
Step-by-step explanation:
Can someone please help me out I’ll mark you as brainlist
Answer: z=10, y=7
Step-by-step explanation:
z+30=40
y+10=17
solve for z by isolating z, Subtract 30 from both sides
z+30-30=40-30
z=10
solve for y by isolating y, Subtract 10 from both sides
y+10-10=17-10
y=7
what is the maximum possible area of an isosceles triangle if the two equal sides are each 15 cm long?
The entire space or area occupied by an isosceles triangle's sides in a two-dimensional space is known as the triangle's area. Thus the area will be "112.5 cm²".
what is the maximum possible area of an isosceles triangle if the two equal sides are each 15 cm long?
The area is a function of the apex angle β according to
Area = (1/2)(2 cm)²×sin(β)
This will be a maximum for β = 90°. The corresponding length of the third side is 2√2 cm ≈ 2.2828 cm.
The entire space or area occupied by an isosceles triangle's sides in a two-dimensional space is known as the triangle's area. A triangle with two equal sides, which also means two equal angles, is referred to as an isosceles triangle. The following characteristics of an isosceles triangle set it apart from other kinds of triangles: The vertex angle, also known as the apex angle, is the angle formed by the two equal sides of an isosceles triangle. The base is the side that the vertex angle faces, and the base angles are equal.
The vertex angle and the base are both divided in half by the perpendicular from the vertex angle.
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on a monday a friend says he will meet you again in 31 days. what day of the week will that be? sunday monday tuesday wednesday thursday friday saturday
If someone says they will meet you again in 31 days on a Monday, then that meeting would occur on a week day of Thursday. so, the correct answer is E).
To determine the day of the week that is 31 days from a Monday, we can use the fact that there are seven days in a week. Since 31 is not evenly divisible by 7, we cannot simply add or subtract a certain number of days to find the day of the week.
Instead, we must use modular arithmetic. Specifically, we can take the remainder of 31 divided by 7, which is 3. This means that after 31 days, we will be three days ahead of Monday, so the day will be Thursday. Therefore, the day of the week that is 31 days from a Monday is Thursday. So, the correct option is E).
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help me please
asap please
please
please
Answer:
i have no idea what the answer is
Step-by-step explanation:
I need help on Area plz
Answer:139 cm squared
Step-by-step explanation:
First separate it:
10x3
7x7
4x15
These are the 3 rectangles that make up this shape
Then multiply
10x3=30
7x7=49
4x15=60
Then add your answers
30+49+60=139cm squared
The following algebraic expression is given: 1 xy + 5y + 2x + 10 2.1 What do you notice about all 4 terms?
Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression
consider the ascending geometric sequence a1,a2,a3,… , where all the terms are positive. in this sequence, (a5)2
The expression for the square of the fifth term in the ascending geometric sequence is a1^2 * r^8.
To determine the expression for the square of the fifth term in the ascending geometric sequence, let's denote the common ratio as r and the first term as a1.
The general formula for the nth term of a geometric sequence is given by:
an = a1 * r^(n-1)
In this case, we are interested in the fifth term, so n = 5:
a5 = a1 * r^(5-1)
= a1 * r^4
To find the square of the fifth term, we square the expression for a5:
(a5)^2 = (a1 * r^4)^2
= a1^2 * (r^4)^2
= a1^2 * r^8
Therefore, the expression for the square of the fifth term in the ascending geometric sequence is a1^2 * r^8.
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Write an equation in slope-intercept form of the line that passes through the points (-2,10) and (5. – 11).
Answer:
y=-3x+4
Step-by-step explanation:
I just use desmos to graph it and find the line of fit.
A poll of teenagers in one town showed that 43 % play a team sport. It also showed that 21% play varsity team sports. Find the probability that a teenager plays varsity sports, given that the teenager plays a team sport.
The probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.
To find the probability that a teenager plays varsity sports given that they play a team sport, we can use conditional probability.
Let's denote:
A: Playing varsity sports
B: Playing a team sport
We are given:
P(B) = 43% = 0.43 (Probability of playing a team sport)
P(A) = 21% = 0.21 (Probability of playing varsity sports)
We need to find PA(|B), which represents the probability of playing varsity sports given that the teenager plays a team sport.
The conditional probability formula is:
P(A|B) = P(A ∩ B) / P(B)
P(A ∩ B) represents the probability of both A and B occurring simultaneously.
In this case, the probability of a teenager playing varsity sports and a team sport simultaneously is not given directly. However, we can make an assumption that all teenagers who play varsity sports also play a team sport. Under this assumption, we can say that P(A ∩ B) = P(A) = 0.21.
Now we can calculate P(A|B):
P(A|B) = P(A ∩ B) / P(B)
= 0.21 / 0.43
≈ 0.4884
Therefore, the probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.
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3x
+
9y = -9
x + y = 1
Answer:
x=3, y= -2
Step-by-step explanation:
3x + 9y = -9
x + y = 1
Multiply the second equation by -3
-3x-3y = -3
Add this to the first equation to get rid of the x's
3x + 9y = -9
-3x -3 y = -3
------------------------
6y = -12
Divide by 6
6y/6 = -12/-6
y = -2
3x + 9y = -9
x + y = 1
Multiply the second equation by -9
-9x-9y = -9
Add this to the first equation to get rid of the y's
3x + 9y = -9
-9x -9 y = -9
------------------------
-6x = -18
Divide by -6
-6x/-6 = -18/-6
x = 3
Answer:
Here
the given equations are:-
3x + 9y = -9
or,3(x +3y)= -9
or,x+ 3y = -3 ................. (1)
x + y = 1 ................... (2)
Now , subtracting equation (2) from (1) , we ger:-
x + 3y = -3
x + y = 1
- - -
__________
0 + 2y = -2
or, y = -1
putting value of y in equation (2) , we get:-
x +(-2) = 1
or, x - 2 = 1
or x = 3
HENCE,
x = 3 and y = -1 are the values of x and y .
Thank me later.
Q1 What would you add to both sides of the equation in order to
solve the quadratic equation by completing the square?
a² - 5a = -4
Answer:
See below
Step-by-step explanation:
Take 1/2 of the 'a' coefficient, square it and add it
a^2 -5a + (-2.5)^2 = -4 +(- 2.5^2)
(a - 2.5)^2 = 2.25
I need help please:)
Answer:
C D J
Step-by-step explanation:
the 2nd and 3rd quadrants have values of x that are less than 0.
Solve the following equation for y, simplifying all fractions: 6x + 10y = - 80 a) y = 3 X - 8 5 3 X 8 b) y alw c) y -x + 8 w л | о л | d) y = x – 8
Solving a linear equation with 2 variables
First isolate y term
10 y = -6x - 80
Now divide by 10
y = (-6/10)x -(80/10)
y = (-3/5)x - 8
a cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. the base of the can has an area of 75 \text{ cm}^275 cm 2 75, start text, space, c, m, end text, squared, and the height of the can is 10 \text{ cm}10 cm10, start text, space, c, m, end text. if 110 \text{ cm}^3110 cm 3 110, start text, space, c, m, end text, cubed of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?
The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².
Given that,
Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².
We have to find which of the following comes closest to the total volume of the fruit pieces in the can if 110 cm³ of syrup is required to fill the can completely.
We know that,
Total volume of the cylinder can is equal to the sum of the total volume of fruits and total volume of Syrup.
So,
The total volume of the fruits is we have to find take x
The total volume of the cylinder is base× height=75×10
The total volume of the syrup is 110
So,
75×10=x+110
x=750-110
x=640
Therefore, The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².
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Please answer the both questions in the photos below ( will mark brainliest if available + 30p )
The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.
Why is the equation's classification consistent independent?We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.
For our question, we can start by rearranging the first equation to isolate y:
\(4x + y = 4\\y = -4x + 4\)
We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.
Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:
If the slopes are the same and the y-intercepts are different, the system is inconsistent and there is no solution.If the slopes are different, the system is consistent and there is a unique solution.If the slopes are the same and the y-intercepts are the same, the system is consistent and there are infinitely many solutions.In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent
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Alonzo raises sheep and goats. Alonzo sells each sheep for $125 and each goat for $75. Alonzo raised 14 sheep and goats this year and sold them all for a total of $1,500. How many sheep and how many goats did Alonzo sell?
y = -3/2x + 5/2
Explanation-
slope intercept form is y = mx + b
so we have to solve the equation for y
2y = 5 - 3x
y = 5/2 -3/2x
or
y = -3/2x + 5/2
~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )
Irving tives in Appletown, and plans to drive alone Highway 42 , a straight Metway that leads to Bananatown, located 119 miles east and 19 miles north. Carol thes in Coconutvitle, located 76 miles east and 49 miles south of Appletown. Highway 86 funs directly north from Coconitvilie, and functions with Highway 42 before heading further north to Durianvilie. Carol and Irving are planning to meet up at park-and-ride at the yunction of the highways and carpool to Bananatown. Inving leaves Appletown at fam, driving his wwal 45 miles per hour. If Carol leaves leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as trving? miles per hour Include a sketch with the work you turn in
Carol will need to drive at a speed of approximately 63.4 miles per hour to arrive at the park-and-ride at the same time as Irving.
To find out how fast Carol needs to drive, we need to calculate the distance each person travels and then divide it by the time they spend driving.
First, let's calculate the distance Irving travels. He drives along Highway 42, which is a straight line, and his destination is 119 miles east and 19 miles north of Appletown. Using the Pythagorean theorem, we can find the straight-line distance as follows:
Distance = √(119^2 + 19^2) = √(14161 + 361) = √14522 ≈ 120.4 miles
Next, we calculate the time it takes for Irving to reach the park-and-ride by dividing the distance by his speed:
Time = Distance / Speed = 120.4 miles / 45 mph ≈ 2.67 hours
Now, let's calculate the distance Carol travels. She starts from Coconutville, which is 76 miles east and 49 miles south of Appletown. To reach the park-and-ride, she needs to travel north along Highway 86 and then join Highway 42. This forms a right-angled triangle. We can find the distance Carol travels using the Pythagorean theorem:
Distance = √(76^2 + 49^2) = √(5776 + 2401) = √8177 ≈ 90.4 miles
Since Carol leaves at 9 am and Irving leaves at 7 am, Carol has 2 hours less time to reach the park-and-ride. Therefore, we need to calculate Carol's required speed to cover the distance in this shorter time:
Speed = Distance / Time = 90.4 miles / 2 hours = 45.2 mph
To arrive at the park-and-ride at the same time as Irving, Carol will need to drive at a speed of approximately 63.4 miles per hour.
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Error Analysis A contractor purchases 4 dozen pairs of padded work gloves for $59.52. He incorrectly calculates the unit
price as $14.88 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
The correct unit price would be; $1.23. and The contractor divided 103.32 by 7, resulting in an error of unit price.
We have given that contractor purchases 7 dozen pairs of padded work gloves for $103.32.
Therefore,
1 dozen = 12 units
7 dozen = 12 × 7 = 84 units
The Correct unit price will be;
= 103.32 ÷ 84 = $1.23
The contractor's unit price incorrect because he did solution as 103.32 ÷ 7 dozen.
The price he calculated is for the price for 1 dozen, not 1 unit price.
The correct unit price would be; $1.23. and The contractor divided 103.32 by 7, resulting in an error of unit price.
Write a polynomial that represents the perimeter of the triangle with side lengths of 4x^2-9x+12, x+3, x^2+3x+7
Answer:
It would be A i took the test
Step-by-step explanation:
Ming spent $18 on three colored markers,
How much did each marker cost?
Answer:
6!!
Step-by-step explanation:
Its 6 because 6x3+18
Duh~