Answer:
85
Step-by-step explanation:
To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 84 as a and 13 as b and square them both. This will give you 7056 for a, and 169 as b. Add them to get 7225. So, c² = 7225. Find the square root of this to get 85. So, the third side is 85 in length.
PLS I NEED HELP!!!!! Simplify.
√98
Answer:
7√2
Step-by-step explanation:
Answer:
I think that is simplyfied
Step-by-step explanation:
What is the equation of the given line?
y = 5
x = 3
x = 1
y = 3
Answer:
y = 5
Step-by-step explanation:
when the slope of a line is 0 because it does not incline
it is y = wherever the y value is
so in this case
it is
y = 5
Peter is thinking of playing the StarOne lottery. When he buys a ticket, he has to pick a single letter from A to Z and a single digit from 0 to 9. He can win $700 if both his letter and the digit match the letter and digit picked on that day. StarOne costs $3 per ticket.
What is the expected value per turn for Star One?
Based on the single letter that Peter picks and the single digit, the expected value in one turn for Star One is $-0.296262
How to find the expected value?First, find the probability that Peter picks the correct letter and the correct digit:
= Probability of picking letter x Probability of picking digit
= 1/26 x 1/10
= 0.3846%
The expected value per turn for Star One s:
= (0.3846% x 700) + ( (1 - 0. 3846%) x -3)
= $-0.296262
In conclusion, the expected value for a turn of Star One is $-0.296262.
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HELPP I NEED TO TURN THIS IN 5 Mins!!!!!
Answer:
3. The vertex form of the function, f(x) = x² - 4·x - 17 is f(x) = (x - 2)² - 21
4. The solutions are, x = -2 + √10 and x = -2 - √10
5. The quadratic equation with vertex (3, 1) and a = 1 in standard form is given as follows;
f(x) = x² - 6·x + 10
Step-by-step explanation:
3. The function given in standard form is f(x) = x² - 4·x - 17, which is the form, f(x) = a·x² + b·x + c
The vertex form of the of a quadratic function can be presented based on the above standard form as follows;
f(x) = a(x - h)² + k
Where;
(h, k) = The coordinate of the vertex
h = -b/2a
k = f(h)
Comparing with the given equation, we have;
f(x) = a·x² + b·x + c = x² - 4·x - 17
a = 1
b = -4
c = -17
∴ h = -(-4)/(2 × 1) = 2
h = 2
k = f(h) = f(2) = 2² - 4 × 2 - 17 = -21
k = -21
The vertex form of the function, f(x) = x² - 4·x - 17 is therefore, given as follows;
f(x) = (x - 2)² - 21
4. The given equation for which we need to solve by completing the square is 2·x² + 8·x = 12
Dividing the given equation by 2 gives;
x² + 4·x = 6
Which is of the form, x² + b·x = c
Where;
a = 1
b = 4
c = 6
From which we add (b/2)² to both sides to get x² + b·x + (b/2)² = c + (b/2)²
Adding (b/2)² = (4/2)² to both sides of x² + 4·x = 6 gives;
x² + 4·x + 4 = 6 + 4
(x + 2)² = 10
x + 2 = ±√10
x = -2 ± √10
The solution are, x = -2 + √10 and x = -2 - √10
5. Given that the value of the vertex = (3, 1), and a = 1, we have;
The vertex, (h, k) = (3, 1)
h = 3, k = 1
Therefore, h = 3 = -b/(2 × a) = -b/(2 × 1)
∴ -b = 2 × 3 = 6
b = -6
k = f(h) = a·h² + b·h + c, by substitution, we have;
k = f(3) = 1 × 3² + (-6) × 3 + c = 1
∴ c = 1 - (1 × 3² + (-6) × 3) = 10
c = 10
The quadratic equation with vertex (3, 1) and a = 1 in standard form, f(x) a·x² + b·x + c is therefor;
f(x) = x² - 6·x + 10
help ?? please ASAP
Answer: The measure of angle 1 is equaled to 20
Step-by-step explanation:
4x= 80 (You divide 80 by 4, which is 20), so the measure of angle 1 is 20.
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
yes its linear
Step-by-step explanation:
The surface area of a cylinder aluminum can is a measure of how much aluminum the can requires. If the can has radius r and height h, its surface area A and its volume V are given by the equations: A= 2πr^2 + 2πrh and V=πr^2h
a) The volume V of a 12 oz cola can is 355 cm^3. A cola can is approximately cylindrical. Express its surface area A as a function of its radius r, where r is measured in centimeters. [hint: first solve for h in terms of r.]
PLEASE HELP FAST
The required surface area would be A= 2πr² + 710/r which represents area A as a function of its radius r, where r is measured in centimeters.
The can's surface area A and volume V are determined by the equation if the container has a radius of r and a height of h.
A= 2πr² + 2πrh and V = πr²h
The volume V of a 12 oz cola can is 355 cm³
Given that cola can is approximately cylindrical.
V = πr²h = 355 cm³
h = 355 / πr²
Substitute the value of h in the can's surface area A, we get
A= 2πr² + 2πr(355 / πr²)
A= 2πr² + 2(355/r)
A= 2πr² + 710/r
Therefore, the required surface area would be A= 2πr² + 710/r which represents area A as a function of its radius r, where r is measured in centimeters.
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An open box is made by cutting squares from the corners of a piece of
metal that is 16 inches by
20 inches, as shown in the figure. The edge of each cut-out square is x inches. Find V(x), the
volume of the box in terms of x.
Answer:
The volume of the box is
V(x) = 4x^3 -72x^2+320x
Step-by-step explanation:
Here, we are interested in calculating the volume of the box
From what we can see, the shape of the box is a cuboid
Mathematically, the volume of a cuboid is l * b * h
Thus, what we have will be;
x * 20-2x * 16-2x
= x ( 20(16-2x) -2x(16-2x))
= x(320-40x-32x + 4x ^2)
= x(320-72x+4x^2)
= 320x-72x^2 + 4x^3
the volume v(x) will be;
V(x) = 4x^3 -72x^2+320x
solve 3x − 2y = −21 and 2x + 5y = 5 using elimination
Answer:
x = -5 and y = 3
Step-by-step explanation:
There are two equations :
3x − 2y = −21 ....(1)
2x + 5y = 5 ......(2)
Multiply equation (1) by 2 and equation (2) by 3.
6x - 4y = -42 ...(3)
6x + 15y = 15 ....(4)
Subtract equation (4) from (3) :
6x - 4y - (6x + 15y) = -42 -15
-4y -15y = -57
-19y = -57
y = 3
Put y = 3 in equation (2) :
2x + 5(3) = 5
2x = 5-15
2x = -10
x = -5
So, the value of x is (-5) and y = 3.
What are the characteristics of the vector shown?
Answer:
self replicate
cloning site
lower molecular weight
selectable marker gene
Answer:
A. magnitude of 8 and direction angle equal to 0 degrees
Step-by-step explanation:
EDGE 2020
how to convert 78% to a decimal
The equation shown models the height of a 32-inch candle after lighting it, where m represents the time the candle has been burning, in minutes, and h represents the candle's height. h=32−14m If the candle's height is now 25 inches, exactly how many minutes has it been burning?
Answer:
0.5 minutes
Step-by-step explanation:
Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.
h = 32−14m
25 = 32−14m ... subtract both sides by 32
-7 = -14m ... divide both sides by -14
0.5 = m
Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.
2(x-5)=10 but the pemdas is backwards
Answer:
2 (x-5) = 10
2x-10 = 10
2x = 10 + 10
x = 20/2
x = 10
Step-by-step explanation:
8
Given the summation Σ (3
+
2n),
n=1
a. Write the first four terms of the sequence.
Answer:
(e^3 / e^2n)
Step-by-step explanation:
isn't this the same question
What is the quotient of 11.25 divided by 2.5?
A) 0.405
B) 0.450
4.050
D) 4.500
Answer:
answer D 4.500..........
need the answer ASAP
Answer:
M(3.5 , 3.5)
J(3.5 , 14)
K(21 , 14)
L(21 , 3.5)
Step-by-step explanation:
M(1,1)
J(1,4)
K(6,4)
L(6,1)
multiply the coordinates by the scale factor of 3.5
M(3.5 , 3.5)
J(3.5 , 14)
K(21 , 14)
L(21 , 3.5)
I will mark you brainlist if you help me with this certain question.
Answer:
9.
Step-by-step explanation:
The top triangle is half in measurements then the bottom
1. Find (f*g)(x) if
f(x)= -6x+11 and g(x)=3x-5.
Answer:
(f * g)(x) = -18x² + 63x - 55
General Formulas and Concepts:
Algebra
Expand by FOIL (First Outside Inside Last)Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = -6x + 11
g(x) = 3x - 5
(f * g)(x) is f(x) · g(x)
Step 2: Find
Substitute: (f * g)(x) = (-6x + 11)(3x - 5)Expand [FOIL]: (f * g)(x) = -18x² + 30x + 33x - 55Combine like terms: (f * g)(x) = -18x² + 63x - 55Pls help ASAP
What is the y-intercept of the function f(x)=5•(1/6)^x?
A. (5,0)
B. (0,1/6) C. (0, 5)
D. (0,5/6)
pls helpp :(( i really need to finish this and i’m confused lol
What is the solution to the equation? 3(x + 2) - 4 = 2(x - 1) + 5 O A. x = 1 B. X = 2 O C. X = 5 OD. x = 6
pls help, I’ll give you brainly
A mixture of paint calls for 1/3 cups of red paint and 3/4 cups of yellow paint. If there were 4 cups of red paint added to the mixture, how many cups of yellow paint would need to be added to keep a constant rate of proportionality? (Hint: You can use your answer from the first question to help you solve this!)
Answer:
9 cups of yellow paint
Step-by-step explanation:
A mixture of paint calls for 1/3 cups of red paint and 3/4 cups of yellow paint.
From the above question
1/3 cups of red paint = 3/4 cups of yellow paint
1 cup of red paint = x cups of yellow paint
Cross Multiply
1/3 × x = 3/4 × 1
x = 3/4 ÷ 1/3
x = 3/4 × 3/1
x = 9/4
x = 2 1/4 cups of yellow paint
Hence, 1 cups of red paint requires 2 1/4 cups of yellow paint
If there were 4 cups of red paint added to the mixture, how many cups of yellow paint would need to be added to keep a constant rate of proportionality?
1 cups of red paint = 2 1/4 cups of yellow paint
4 cups of red paint = x cups of yellow paint
Cross Multiply
x cups of yellow paint = 4 × 2 1/4 cups of yellow paint
= 4 × 9/4 cups of yellow paint
= 9 cups of yellow paint
Therefore, 4 cups of red paint requires 9 cups of yellow paint
geometry help please
Answer:
AC=44
Step-by-step explanation:
Two triangles are congruent
So the equation is
3z+17=6z-10
6z-3z=17+10
3z=27
z=9
So AC =
6.9-10
54-10
44
Can someone please help?!
Answer:
D. .................... . . . . . . . . . . . . .... . . . . . . . . .
How do i get x. Please help
Two triangles each have an angle of measure x and an angle of measure y. Which statement about the measure of the remaining angles is true?
A. The two angles are congruent. Their measure is x + y
B. The two angles are congruent. Their measure is (180 - x) + (180 - y)
C. The two angles are congruent. Their measure is 180 - x - y
D. The two angles are not necessarily congruent. Their measures could be different
which coordinates of jefferson high school's baseball field
(-3,7)
(7,-3
( -7,3)
(-3,-7)
A survey of 60 dog owners showed that 3 out of 4 owners
had their dog spayed or neutered. How many of the owners
had not had their dog spayed or neutered?
Answer:
45
Step-by-step explanation:
a 10-pound ice cream cake is sliced in half, and each half is then sliced into eighths. what is the weight, in ounces, of each slice of cake? (1 pound
Answer:
10 oz.
Step-by-step explanation:
There are 16 oz in 1 lb. So for the 10 lb. cake there is a total of 160 oz to start. If the cake is cut in half and then in 8 pieces. There will be a total of 16 pieces.
10 lb/whole cake
= 160 oz/2 halves
= 160 oz/16 slices
= 10 oz/slice
Each slice of icecream cake is 10 oz.