Answer:
k=-8
Step-by-step explanation:
Can you give me brainliest please?
Could anyone solve both and say how they did it? asked my teacher and she didnt help
The values of x in the triangles are x = 17 and x = 52
How to determine the values of xTriangle 1
From the question, we have the following parameters that can be used in our computation:
The triangle
Using the law of cosines to solve for x, we have
x^2 = 7^2 + (8√2)^2 - 2 * 7 * (8√2) * cos(135 degrees)
Evaluate the like terms and multiply
x^2 = 289
Take the square roots
x = 17
Triangle 2
Here, we have"
Using the law of cosines to solve for x, we have
x^2 = 28^2 + 32^2 - 2 * 28 * 32 * cos(120 degrees)
Evaluate the like terms and multiply
x^2 = 2704
Take the square roots
x = 52
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Divide 224.4 entre 6. Expresa la respuesta con dos lugares decimales
Answer:
37.6
Step-by-step explanation:
Div etthum fun them full
A scientist measures the growth of a new type of ivy that has been bred to grow in all types of weather. At the end of each way to scientist measures the length of the Vine. It's the vine continues to grow at this rate, it will be blank inches long at the end of 5 weeks.
Answer:it will be 20 inches long at the end of 5 weeks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
i got it wrong and it showed me the real answer
A cell tower has the hieght of 70 meters. The Tower casts a shadow of 45 meters on the ground. What is the angle of elevation of the shadow to the top of the cell tower?
Answer:
\(\theta=0.99^{\circ}\)
Step-by-step explanation:
Given that,
The height of a cell tower, P = 70 m
The tower casts a shadow of 45 meters on the ground.
We need to find the angle of elevation of the shadow to the top of the cell tower. We can use trigonometry to find it.
\(\tan\theta=\dfrac{P}{B}\)
Put all the values,
\(\tan\theta=\dfrac{70}{45}\\\\\theta=\tan^{-1}\left(\frac{70}{45}\right)\\\\\theta=0.99^{\circ}\)
Hence, the angle of elevation is equal to \(0.99^{\circ}\).
A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
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Find the original price of a pair of shoes if the sale price 50 is after a 20 discount.
Answer:
70
Step-by-step explanation:
as the discount is 20 thus the original price would be 70
Which of the following are solutions to the inequality -7x+14 greater than -3x-6? Select all that apply
a. -10
b. 10
c. -5
d. 5
e. -3
f. 3
g. 0
Answer:
a-10
Step-by-step explanation:
there it is:) the full thing
Answer:
I can't see the whole thing.
So sorry I can't answer it if I can't see the WHOLE thing.
Answer:
D. A value of 0.9 is more than 2 standard deviations from the mean
Step-by-step explanation:
A is wrong, because the standard deviation is +/-0.15 (the measure up or down from the mean)
B is wrong, because the mean is exactly 0.5
C is wrong, because 1 standard deviation up from the mean is 0.65, and 0.7 is outside of that.
can u answer this please?
If "C" is the total cost in dollars($) to produce q units of a product, then the average cost per unit for an output of q units is given by c = c/q Thus if the total cost equation is c = 5000 + 6q, then c = 5000/q + 6 given that the fixed cost is $12,000 and the variable cost is given by the function cv = 7q
Thus, the average cost per unit for an output of q units is given by the equation c/q = 12000/q + 7, where the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.
The given equation for the total cost of producing q units of a product is c = 5000 + 6q.
To find the average cost per unit for an output of q units, we need to divide the total cost by the number of units produced.
Thus, the average cost per unit can be written as c/q.
Substituting the given equation for c in terms of q, we get
c/q = (5000 + 6q)/q.
Simplifying this expression, we get c/q = 5000/q + 6.
Now, we are given that the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.
The total cost equation c can be written as the sum of the fixed cost and the variable cost, i.e., c = 12000 + cv. Substituting the given equation for cv, we get c = 12000 + 7q.
Substituting this equation for c in terms of q in the expression we derived earlier for c/q, we get c/q = (12000 + 7q)/q. Simplifying this expression, we get c/q = 12000/q + 7.
Therefore, the average cost per unit for an output of q units is given by the equation c/q = 12000/q + 7, where the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.
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$-50⁰
S
S =
Submit
S-49⁰
The value of s, which is the measure of the exterior angle, is 99°.
What is the exterior angle of a triangle?
An exterior angle of a triangle is an angle that is formed by extending one of the sides of the triangle. Specifically, it is the angle that is formed between that extended side and the adjacent side of the triangle that it doesn't share a vertex with.
In other words, if you choose one of the sides of a triangle and extend it, the angle that is formed between the extension and the adjacent side of the triangle is called an exterior angle.
Each of the three sides of a triangle has a corresponding exterior angle, and the sum of the measures of the three exterior angles of a triangle is always 360 degrees.
The sum of the measures of the exterior angles of any triangle is always 360 degrees.
In this case, we have two interior angles of the triangle given as s-50° and s-49°, and we are told that s is the measure of the exterior angle.
By definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
So, we have:
s = (s-50°) + (s-49°)
Simplifying the equation:
s = s - 50° + s - 49°
s = 2s - 99°
99° = s
s = 99°
Therefore, the value of s, which is the measure of the exterior angle, is 99 degrees.
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Bob is quite proud of the 600-square-foot garage he’s included in his new home. According to national standards, how can he include the garage square footage in his total?
The method for including the garage square footage in the total depends on national standards, with some including it in the total and others excluding it.
When including the garage square footage in the total square footage of a home, there are different ways to do it depending on the national standards used.
Generally speaking, there are two main methods:
Including the garage in the total square footage, or excluding the garage from the total square footage.
If the garage is included in the total square footage, then Bob would add the square footage of the garage (600 square feet) to the square footage of the living spaces in the home (e.g., bedrooms, bathrooms, kitchen, living room, etc.).
This would give him the total square footage of the home, including the garage.
This method is commonly used in some areas of the United States.
On the other hand, if the garage is excluded from the total square footage, then Bob would only count the square footage of the living spaces in the home.
This method is commonly used in other areas of the United States, as well as in other countries.
It is important to note that the method used to calculate the total square footage can affect the perceived value of the home, as well as the taxes and insurance premiums associated with it.
Therefore, it is important for Bob to consult with a local real estate professional or appraiser to determine the most appropriate method for his area.
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DUE IN MIDNIGHT which is an equation of the line parallel to y=2x-7 and passes through (-4,5)
Answer:
y=2x+13
Step-by-step explanation:
parallel lines will have the same slope. Since you still need b you plug in (-4,5) which will look like 5=2(-4)+b. then you solve for b and get 13.
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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518. Coin Change 2
You are given coins of different denominations and a total amount of money. Write a function to compute the number of combinations that make up that amount. You may assume that you have infinite number of each kind of coin.
If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:
dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]
The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.
We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.
Here's the Python code:
def change(amount, coins):
n = len(coins)
dp = [[0] * (amount+1) for _ in range(n+1)]
dp[0][0] = 1
for i in range(1, n+1):
dp[i][0] = 1
for j in range(1, amount+1):
dp[i][j] = dp[i-1][j]
if j >= coins[i-1]:
dp[i][j] += dp[i][j-coins[i-1]]
return dp[n][amount]
For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
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Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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I need help can someone teach me how to do this
Answer:
Decay with 37% decrease.
Step-by-step explanation:
If an exponential function is,
y = \(a(b)^{x}\)
Where 'b' = growth factor
And 'a' = Initial amount
How to check the exponential function represents a growth or decay;
1). If the growth is positive,
Value of 'b' will be greater than 1 and the function will represent growth.
So the function will be in the form of,
y = a(1 + r)ⁿ
Where r = growth rate in percent
2). If the growth is negative,
Value of 'b' will be in decimals and the function will represent the decay.
And function will be in the form of,
y = a(1 - r)ⁿ
From the given function,
y = 47(0.63)ˣ
y = 47(1 - 0.37)ˣ
Therefore, growth rate of the function will be,
r = 0.37 ≈ 37%
Therefore, function decay, with 37% decrease.
Find the measure of the indicated angle to the nearest degree
Answer:
57°
Step-by-step explanation:
,using soh cah TOA the sides in the right angle concerning us are the adjacent and hypotenuse
where 14 is the adjacent and 26 is the hypotenuse
...therefore cos(x) ,that is,the unknown angle
cos(x)=14/26
cos(x)=0.5385
cos¹(0.5385)=57.42
Select the correct answer.
3(* + 4) - 2 (1 - 1);
Which is the simplified form of the expression
OA.
39
-
- 1
11
2
67
B.
101 + 9
oc. Ir + 1
15 + 10
OD
1
Answer:
12Step-by-step explanation:
\(3(* + 4) - 2 (1 - 1);\\\\3(\times +4)-2(1-1)\\\\3\left(4\right)-2\left(1-1\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3\times \:4-2\left(1-1\right)\\\\3\times \:4=12\\2\left(1-1\right)=0\\\\=12-0\\\\=12\)
the solution to 5/2 x-7 =3/4 x +14
Answer:
x = 12.
Step-by-step explanation:
5/2x - 7 = 3/4x + 14.
put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.
5/2x - 3/4x = 14 + 7
7/4x = 21.
divide both sides by the reciprocal of 7/4, the number next to the unknown
so x = 21 ×4/7
x = 12.
(1 point) find the interval of convergence for the power series ∑n=2[infinity](x−5)n3n
The interval of convergence for the given power series is (2, 8).
To find the interval of convergence for the given power series. We have the power series:
∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)
To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:
L = lim (n → ∞) |(a_(n+1)/a_n)|
For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:
|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|
Simplify the expression:
|(a_(n+1)/a_n)| = |(x-5)/3|
The series converges if L < 1. So we have:
|(x-5)/3| < 1
Now, we'll solve for x to find the interval of convergence:
-1 < (x-5)/3 < 1
Multiply each term by 3:
-3 < x-5 < 3
Add 5 to each term:
2 < x < 8
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EFGH is translated 6 units to the left and 3 units up
Answer:
G'(-4,-1)
Step-by-step explanation:
Answer:
The answer is B -4,-1
Step-by-step explanation:
AP EX verified
522.64 greater or lesser than 522.9
Answer:
Hi friend! 522.64 is less than 522.9
It is less than
Step-by-step explanation:
you always have to look at the number behind the decimal and in this case the number 9 is higher than the number 6
Can someone please help me out Question 1 of 10
f(x) = x². What is g(x)?
-5
g(x)
y
f(x)
(2, 2)
O A. g(x)=x²
9(x)-(²x)*
O c. g(x)=x²
OD. g(x) = 2x²
OB. g(x)=
X
Answer:
C
Step-by-step explanation:
let f(x)=y and g(x)=x
so y=x²
if y-2=(x-2)
y=x
PLEASEEE HELPPPP MEHHHHH
Answer:
y = −\(\frac{1}{5}\)x + 6
y = \(\frac{5}{2}\)x + 5
Step-by-step explanation:
Answer plssssswsswwwwwwasssssss
Answer:
the answers are 10, 6 and -2
results from a study using the following sampling method(s) can be generalized to at least the population from which the sample was drawn... a. simple random sampling b. stratified random sampling c. availability/convenience sampling d. snowball sampling e. both a and b f. both c and d
Simple random sampling is a sampling method that can be generalized to at least the population from which the sample was drawn.
Using simple random sampling, each component of the population has an equal probability and likelihood of being chosen. This sampling strategy is also frequently referred to as a method of chance since the selection of items in this case completely rests on chance or luck.
Simple random sampling is a simple sampling technique that is readily integrated into more sophisticated sampling techniques. Every sample has the same chance of being picked, which is the key characteristic of this sampling technique.
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PLEASE HELP ME!
What is curtis's net pay?
A. $589.23
B. $499.00
C. $374.44
D. $297.44
Mrs. Stevens wants to have $18,000 in the bank in 3 years. If she deposits $9500 today at 4% compounded quarterly for 3 years, how much additional money will she need to add after three years to her investment to make her balance $18000? a. $8356.79 c. $7295.16 b. $0 d. $10,704.84
Answer:
7,295.16
Step-by-step explanation:
A=p(1+i/m)^mn
A=9,500×(1+0.04÷4)^(4×3)
A=10,704.84
The balance she needs
18,000−10,704.84
=7,295.16
In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25
Answer:b
Step-by-step explanation: