Answer:
-4
Step-by-step explanation:
f(x)= 10-2x,
Let x=7
f(7) =10 -2*7
= 10-14
= -4
HELP HELP HELP
Solve this
Answer:
What is the cos theta for, i would use sin to solve for theta and then we would get 41.25 degrees.
Step-by-step explanation:
18=6h+2h pls help me with this answer im not understandin it
Answer:2.25 or 9/4
first we need to add 6h and 2h together, and we get 8h, and we divide 8 both side will get the fraction 18/8 and we can simplify will get 9/4 if you want more simple and will become 2.25
Jacob measured a line to be 6 inches long. If the actual length of the line is 6.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 94%
Step-by-step explanation: there are 16 .4's in 6.4 and if he missed by .4 then he got 15/16 which equals 94%
You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.
Answer:
This is an example of
C. simultaneous causality.
Step-by-step explanation:
Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.
What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
Write what the variable n represents in each expression.
L. Lisa can run the 100-yard dash 5 seconds faster than Jerry. Lisa's time is n-5
seconds.
M. Pedro is 3 times younger than his father. Pedro is n + 3 years old.
N. Lucia has $10.00 less than her sister. Lucia has n-10 dollars.
O. Jack is 2 times taller than his younger brother. Jack is 2 x n inches tall.
For the given mathematical statements:
For L: n represents jerry's run time.
For M: n represents the age of his father.
For N: n represents amount her sister has.
For O: n represents age of his younger brother.
To write the variables n represents each expression,
Take the following steps:
→ Identify the variable in each expression.
→ Determine what the variable represents by looking at the context of the problem and the information provided in the expression.
→ Write down the meaning of the variable for each expression.
Therefore,
L. Lisa can run the 100-yard dash 5 seconds faster than Jerry. Lisa's time is n-5 seconds.
Here,
n represents jerry's run time.
M: Pedro is 3 times younger than his father. Pedro is n + 3 years old.
Here,
n represents the age of his father,
N: Lucia has $10.00 less than her sister. Lucia has n-10 dollars.
Here,
n represents amount her sister has.
O: Jack is 2 times taller than his younger brother. Jack is 2 x n inches tall.
Here,
n represents age of his younger brother.
To learn more about mathematical statement visit:
brainly.com/question/30808632
#SPJ1
solve the following equation by completing the square. x^2-8x-2=0
\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)
can someone please help me figure this out
Answer:
32/40
Step-by-step explanation:
1: Sin= Soh
Soh= Opposite over Hypotenuse
2. A's opposite is 32
3. A's Hypotenuse is 40
4. A = 32/40
Write the decimals in expanded notation 0.685
\(0.685\)
to find:the expanded notation form.
solution:\(0\)
\( + 0.6\)
\( + 0.08\)
\( + 0.005\)
it can be written as a sentence also,
0 + 0.6 + 0.08 + 0.005
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
For more question on interest visit:
https://brainly.com/question/25720319
#SPJ8
Last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639. Use a percentage to express the relative change. Use the second given value as the reference value. The relative difference between February of 1999 and last February is -13%. What % decrease in the number of scheduled passenger flights from February of 1999 to last February?
The % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.
PercentagesGiven that last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639, to determine the % decrease in the number of scheduled passenger flights from February of 1999 to last February, the following calculation must be made:
709639 = 100617624 = X617624 x 100 / 709639 = X61762400 / 709639 = X87.03 = X100 - 87.03 = X12.97 = XTherefore, the % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.
Learn more about percentages in https://brainly.com/question/26663664
A building is 50 feet tall. Imagine you are standing 30 feet away from it. What is the angle when you are looking up at your friend on the top of
building?
36.9 59.0 53.1 31.0
Answer:
53.1
Step-by-step explanation:
I used my protractor and that is what I got there is no detailed explanation that I came up with
1) Which number is IRRATIONAL?
A) 4
B) 16
C) 32
D) 64
Answer:
\(\sqrt{32}\)
Step-by-step explanation:
The square root of 4 is 2.
The square root of 16 is 4.
The square root of 32 is 5.65685425.
The square root of 64 is 8.
Therefore \(\sqrt{32}\) is irrational.
Hope this helped! :)
Part A: Given the function g(x) = |× + 31, describe the graph of the function, including the vertex, domain, and range. (5 points) Part B: If the parent function f(x) - |×] is transformed to h(x) = |× - 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
A. The graph of the absolute value function is V-shaped, with the features given as follows:
Vertex: (-3,0).Domain: All real values.Range: [0, ∞).B. The transformation is that the function was shifted right two units, hence the features are given as follows:
Vertex: (2,0).Domain: All real values.Range: [0, ∞).What is the absolute value function?The absolute value function, with vertex (h,k), is defined as follows:
y = |x - h| + k.
The features of the function are given as follows:
Vertex: (h,k).Domain: All real values.Range: [k, ∞).For the first item, the function is |x + 3|, hence we just have to identify the features.
For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.
More can be learned about absolute value functions at https://brainly.com/question/3381225
#SPJ1
What is 6721 x 381 divided by 14 + 84
Answer: 26129.6
Step-by-step explanation:
6721 x 381 = 2560701
14 + 84 = 98
2560701 / 98 = 26129.6
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
A rectangle has a length of (4x - 3) and a width of 2. Find a simplified expression for:
a) The area of the rectangle
b) The perimeter of the reactangle
Please answer a and b thank you!
Answer:
a) The area of the rectangle is given by the product of its length and width. Thus:
Area = (4x - 3) * 2
Area = 8x - 6
b) The perimeter of a rectangle is the sum of the lengths of all four sides. The perimeter of this rectangle can be expressed as:
Perimeter = 2 * (length) + 2 * (width)
Perimeter = 2 * (4x - 3) + 2 * 2
Perimeter = 8x - 6 + 4
Perimeter = 8x
cos(2x) + sin^2(x) = 0
cos(2θ) + sin²(θ) = 0
Half-angle identity:
cos(2θ) + (1 - cos(2θ))/2 = 0
Simplify:
2 cos(2θ) + 1 - cos(2θ) = 0
cos(2θ) = -1
Solve for θ :
2θ = arccos(-1) + 2nπ
2θ = π + 2nπ
θ = π/2 + nπ
where n is any integer.
(True or False) ((22)3) = 25.
Answer:
22*3=66
Flase
Step-by-step explanation:
The equation ((22)3) = 25 is false.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ((22)3) = 25.
We have to check whether the left hand side is equal to right hand side.
If the LHS and RHS are equal then the equation is true.
If not then it is false.
The value in LHS is 22×3 = 66
The value in RHS is 25
66 is not equal to 25
Hence, the equation ((22)3) = 25 is a false statement.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
Read more about functions at
brainly.com/question/2456547
#SPJ1
Need help with question
For his famous seafood gumbo, Reggie uses jumbo shrimp and blue crab. His recipe calls for 8 3/5 pounds of shrimp and 7 1/3 pounds of crab. How many total pounds of seafood does Reggie use in all?
(I'm asking a lot of questions...)
Answer:
15 14/15
Step-by-step explanation:
8 + 7 = 15
1/3 + 3/5
5/15 + 9/15
14/15
15 + 14/15 = 15 14/15
Evaluate the related series described 4 - 12 + 36 - 108 n=6
Answer:
11/54 is n did you want it in decimal form 0.2037 bar on top of 03
A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Roll Outcome
1st 2
2nd prime
3rd more than 4
The probability of roll outcome:
1st 2 = 1/6
2nd prime = 1/2, and
3rd more than 4 = 1/3.
What is probabilityProbability is the fraction of the required outcome event divided by the number of possible outcomes of events.
In a fair die, considering the outcomes from the question:
There is only one side with the number 2There are only three prime numbers, 2, 3, and 5There are only two numbers more than 4, which are 5 and 6.probability of the 1st roll to be 2 = 1/6
probability of 2nd roll to be prime = 3/6
probability of 2nd roll to be prime = 1/2
probability of 3rd roll to be more than 4 = 2/6
probability of 3rd roll to be more than 4 = 1/3
Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.
Learn more about probability here: https://brainly.com/question/24830485
#SPJ1
The formula for the area of a rectangle is: A = lw
How could we solve this equation
for the width, w?
The way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l
Area of a rectangleFrom the question, we are to determine how we can solve the given formula for area of rectangle for the width, w
The given formula is
A = lw
To solve the given equation for w, we will divide both sides of the equation by l
That is,
A/l = lw/l
So that
A/l = w
and
w = A/l
Hence, the way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l
Learn more on Area of rectangle here: https://brainly.com/question/14137384
#SPJ1
Determine the option that is the least expensive for buying a car.
A.paying $21,000 cash
B.making a $5,000 down payment for a $20,000 installment loan with an APR of 4% over 36 months
C.making a $10,000 down payment for a $20,000 installment loan with APR of 2% over 48 months
D.making no payment for a $20,000 installment loan with APR of 1% over 60 months
Answer:
C
Step-by-step explanation:
Just because I think that's the one ^^
a. 48 square centimeters
b. 19 square centimeters
c. 42 square centimeters
d. 24 square centimeters
Answer:48
Step-by-step explanation:
Need help with these math problems.
The polar equations converted into Cartesian equations are listed below:
Case 28: x² + (y - 3 / 2)² = (3 / 2)² (Circle)
Case 29: (x - 2)² + y² = 2² (Circle)
Case 30: x + 7 · y - 4 = 0 (Line)
Case 31: x + 3 · y = 6 (Line)
Case 32: x - 2 = 0 (Line)
Case 33: y - 3 = 0 (Line)
Case 34: (x - 1 / 2)² + y² = (3 / 2)² (Circle)
Case 35: x · y = 4 (Hyperbola)
Case 36: x² + y² = 4² (Circle)
Case 37: x² + y² = 2² (Circle)
Case 38: 4 · x - 3 · y - 1 = 0 (Line)
Case 39: x - 5 · y - 3 = 0 (Line)
How to convert polar equations to Cartesian equations
In this question we find 12 cases of polar equations that must be converted into Cartesian equations. This can be done by following operations:
r = f(θ) → y = f(x)
x = r · cos θ, y = r · sin θ
r = √(x² + y²)
Now we proceed to find the Cartesian equations:
Case 28
r = 3 · sin θ
r = 3 · (y / r)
r² = 3 · y
x² + y² = 3 · y
x² = 3 · y - y²
x² + y² - 3 · y = 0
x² + (y² - 3 · y + 9 / 4) = 9 / 4
x² + (y - 3 / 2)² = (3 / 2)²
Case 29
r = 4 · cos θ
r = 4 · (x / r)
r² = 4 · x
(x² - 4 · x) + y² = 0
(x² - 4 · x + 4) + y² = 4
(x - 2)² + y² = 2²
Case 30
r = 4 / (sin θ + 7 · cos θ)
r · sin θ + 7 · r · cos θ = 4
x + 7 · y - 4 = 0
Case 31
r = 6 / (cos θ + 3 · sin θ)
r · cos θ + 3 · r · sin θ = 6
x + 3 · y = 6
Case 32
r = 2 · sec θ
r = 2 / cos θ
r = 2 · r / x
x = 2
x - 2 = 0
Case 33
r = 3 · csc θ
r = 3 / sin θ
r = 3 · r / y
y = 3
y - 3 = 0
Case 34
r = √(r · cos θ + 2)
r² = r · cos θ + 2
x² + y² = x + 2
x² + y² - x - 2 = 0
(x² - x + 1 / 4) + y² = 9 / 4
(x - 1 / 2)² + y² = (3 / 2)²
Case 35
r² = 4 · sec θ · csc θ
r² = 4 · r² / (x · y)
x · y = 4
Case 36
r = 4
√(x² + y²) = 4
x² + y² = 4²
Case 37
r² = 4
x² + y² = 2²
Case 38
r = 1 / (4 · cos θ - 3 · sin θ)
4 · r · cos θ - 3 · r · sin θ = 1
4 · x - 3 · y - 1 = 0
Case 39
r = 3 / (cos θ - 5 · sin θ)
r · cos θ - 5 · r · sin θ = 3
x - 5 · y - 3 = 0
To learn more on polar equations: https://brainly.com/question/31442898
#SPJ1
One find the surface area of the rectangular prism
Two find the surface area of the rectangular pyramid
Three find the surface area of the cube
The surface areas are 110 in², 87.6 mm² and 49 m².
Given that are solid figure, we need to find the surface area of them,
1) Triangular prism = perimeter × length + 2 × base area
= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²
2) Triangular pyramid = base area + perimeter × slant height / 2
= 1/2 × 5.2 × 6 + 3 × 6 × 8/2
= 87.6 mm²
3) Cube = 4side²
= 4 × (3 1/2)²
= 4 × 3.5²
= 49 m²
Hence the surface areas are 110 in², 87.6 mm² and 49 m².
Learn more about surface areas click;
https://brainly.com/question/29298005
#SPJ1
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
To know more about line, visit:
https://brainly.com/question/30003330
#SPJ1
if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8