The variable, y, varies directly with x. if y = 20 when x = 25, what is y when x = 43? Also please explain so I can understand this on my own.
Answers
Answer:
25
Step-by-step explanation:
Related Questions
An automobile purchased for $25 comma 000
is worth $2600
after 7
years. Assuming that the car's value depreciated steadily from year to year, what was it worth at the end of the third year?
Answers
22,400/7=3,200 (amount car value decreased by each year)
3,200x3=9,600
$25,000-$9,600=
$15,400
find the slope of a line parallel to the line through thepoints ) (10, 7) and (-4, 7)
Answers
Answer:
0
Step-by-step explanation:
7-7 over -4-10
That is 0/-14, which simplifies to 0
Point P′(5, −4) is the image of point P(2, 3) under a translation. What is the image of
(6, −2) under the same translation?
a. (7,-1)
b. (13,-3)
c. (9,-9)
d. (3,5)
Answers
Answer:(3,5)
Step-by-step explanation:
What is the value of x? Round to the nearest thousandth.
Answers
Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.
How to Find the Value of x Using the Tangent Ratio?The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:
tan (∅) = opposite/adjacent
We have the following:
Reference angle (∅) = 53 degrees
Length of opposite side = 21
Length of adjacent side = x
Plug in the values:
tan 53 = 21/x
x * tan 53 = 21
x = 21 / tan 53
x = 15.824
Learn more about Tangent Ratio on:
question
#SPJ1
A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
Answers
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
Learn more on maximizing volume here;
https://brainly.com/question/10373132
#SPJ4
A die is rolled 9 times. Find the probability of rolling no more than 4 ones.
Answers
Answer:
36
Step-by-step explanation: you time the number 9*4 equal 36
Help me pls will give out points
Answers
\(y = ab^{x} \)
\(y = 3 \times {4}^{x} \)
"a" is the initial amount (3), and "b" is the growth factor (4).
To find "b" plug in the knowns into the exponential function equation and solve.
\(y = ab^{x} \)
\(48 = 3 \times {b}^{2} \)
\(16 = {b}^{2} \)
\( \sqrt{16} = b\)
\(b = 4\)
find the distance travelled by siya if she takes three rounds of a square park if the perimeter is 70m
Answers
Distance covered around the park in one round is the perimeter of it.
Now, perimeter of the square park = 4 × side
= 4 × 70 m = 280 m
Here, Shaina takes three rounds.
Thus, total distance covered = 3 × 280 = 840 m
Quadrilateral IJKL is dilated by a scale factor of to form quadrilateral I'J'K'L'. What
is the measure of side LI?
Answers
Answer:
The measurement of side LI = 24
Step-by-step explanation:
In the question, it is given that Quadrilateral IJKL is reduced to quadrilateral I'J'K'L' which is 1/2 the times of measurement of side of the Quadrilateral IJKL
I'L' = 12
And IL will be 2 times the measurement of I'L'
Hence, IL = 2*12 = 24
Solve Logarithm 5(2^x+4)=15. Round to the nearest thousandth. A.1.089 B.2.415 C.0.657 D.3.982
Answers
\(5(2^x+4)=15\\2^x+4=3\\2^x=-1\\x\in\emptyset\)
Answer:
no solutions
Step-by-step explanation:
5(2^x+4)=15
Divide each side by 5
5/5(2^x+4)=15/5
(2^x+4)=3
Subtract 4 from each side
2^x = 3-4
2^x = -1
This cannot happen so there are no solutions
Find the area of the triangle.
Answers
Answer: 6
Step-by-step explanation:
\(\frac{b*h}{2}\)
b=4
h=3
12/2
6
time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
Answers
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
Learn more about Data collection at
https://brainly.com/question/30363831
#SPJ1
What is the value of t in the following equation?
t + 14 = 2712
A. t = 37
B. t = 123
C. t = 213
D. t = 323
Answers
Answer: t = 2698 as question is written. Just subtract 14 from both sides. There is either a typo in the question or the answer choices.
Step-by-step explanation:
there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answers
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
1) A mutual fund invests $73,400 in highway bonds and earns 13% per year on the investment. How much money is earned per year?
2) A retail store had monthly sales of $106,600 and spent 6% of it on freight costs. How much was spent on freight costs?
Answers
Using the formula of simple interest and concept of percentage, the amount earned per year is $9542 and the amount spent on freight is $6396
Simple InterestSimple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
1) To solve the amount earned every year, we have to use the formula of simple interest here;
S.I = 73400(1 + 0.13*1)
S.I = 82,942.00
The interest earned per year will be
82942 - 73400 = 9,542.00
2) Using percentage concept here
x = 0.06 * 106600
x = 6396
The amount spent on freight is $6396
Learn more on simple interest here;
https://brainly.com/question/3575751
#SPJ1
Consider the chart of LCD Television sets and population below. Round your ratio as a decimal to 6 places. Round the Owners per 100 to one decimal.
City
Number of Owners
Total Population
Ratio as decimal
Owners per 100
Indianapolis
6,245
0.90 million
New York
911,216
18.6 million
Cairo
10,598
19.1 million
Beijing
959,611
21.2 million
Tokyo
1,700,510
26.5 million
Answers
To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.
For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938
For New York: Ratio = 911,216 / 18.6 million = 0.049019
For Cairo: Ratio = 10,598 / 19.1 million = 0.000554
For Beijing: Ratio = 959,611 / 21.2 million = 0.045270
For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234
To calculate the owners per 100, we multiply the ratio by 100.
For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)
For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)
For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)
For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)
For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)
Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:
Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7
New York: Ratio = 0.049019, Owners per 100 = 4.9
Cairo: Ratio = 0.000554, Owners per 100 = 0.1
Beijing: Ratio = 0.045270, Owners per 100 = 4.5
Tokyo: Ratio = 0.064234, Owners per 100 = 6.4
For such more question on Ratio
https://brainly.com/question/12024093
#SPJ8
In the past few years, many small businesses have been faced with difficulty keeping their doors open, and in many cases large corporations with cash on hand have come in to take over the companies and their real estate. In such case, a large restaurant chain purchased a small corner tavern with plans to use the name to build a local franchise. The cost of buying the franchise naming rights was four times the cost of buying the physical property. If the total purchase price was $1,250,000, how much did the restaurant chain pay for each individual element of the sale ( naming rights and physical property)?
Answers
The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
What is sale?Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.
The total purchase price of the franchise naming rights and physical property was $1,250,000.
To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.
The total purchase price of $1,250,000 divided by two elements equals $625,000.
This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.
The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is
$625,000/4 .
When the cost of the physical property is multiplied by four, the result is $2,500,000.
This means that the restaurant chain paid $2,500,000 for the franchise naming rights.
In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
For more questions related to purchase price
https://brainly.com/question/31225339
#SPJ1
Find the product of the complex numbers. Leave your answer in polar form
Answers
Given: Two complex numbers below
\(\begin{gathered} z_1=2+2i \\ z_2=-3+3i \end{gathered}\)To Determine: The product of the given complex numbers
\(z_1z_2=(2+2i)(-3+3i)\)\(\begin{gathered} z_1z_2=2(-3+3i)+2i(-3+3i) \\ z_1z_2=-6+6i-6i+6i^2 \\ z_1z_2=-6+6i^2 \end{gathered}\)Please note that
\(\begin{gathered} i=\sqrt[]{-1} \\ i^2=(\sqrt[]{-1})^2_{} \\ i^2=-1 \end{gathered}\)Therefore:
\(\begin{gathered} z_1z_2=-6+6i \\ z_1z_2=-6+6(-1) \\ z_1z_2=-6-6 \\ z_1z_2=-12+0i \end{gathered}\)Let us convert the product to polar form
Please note that
\(\begin{gathered} if,z=x+iy,the\text{ polar form is} \\ z=r(\cos \theta+i\sin \theta) \\ \text{where} \\ r=\sqrt[]{x^2+y^2} \\ \tan \theta=\frac{y}{x} \\ \theta=tan^{-1}(\frac{y}{x}) \end{gathered}\)Apply the conversion into the product we got
\(\begin{gathered} z_1z_2=-12+0i,x=-12,y=0 \\ r=\sqrt[]{x^2+y^2}=\sqrt[]{(-12)^2+0^2} \\ r=\sqrt[]{144+0} \\ r=\sqrt[]{144} \\ r=12 \\ \theta=\tan ^{-1}(\frac{0}{-12}) \\ \theta=\tan ^{-1}(0) \\ \theta=\pi \end{gathered}\)Therefore:
\(\begin{gathered} z_1z_2=r(\cos \theta+i\sin \theta) \\ r=12,\theta=\pi \\ z_1z_2=12(\cos \pi+i\sin \pi) \end{gathered}\)Hence, the product of the complex numbers in polar form is
12(cosπ+isinπ)
1 and 1 half times 3 and 1 fourth
Answers
Answer:
1 1/2 x 3 1/4
make them improper fractions
3/2 x 13/4 = 4 7/8
Find the area of the composite figure.
Answers
Answer:
7168
Step-by-step explanation:
Find the slope from the table.
Answers
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
What is the slope of the line 2y = -8x + 10? =
Answers
Answer:
\(2y = - 8x + 10 ) \div 2\\ y = - 4x + 5 \\ m = - 4 = slope\)
Answer:
the slope is -4x
Step-by-step explanation:
2y=-8x +10
/2 /2
y=-4x+5
1. (5 + 3i)(2 - 2i)
2. (3 + 2i)2
Solve for x:
3. x2 = 36
4. 2x2 - 80 = 120
Pls help with showing work
For all problems
Answers
Joaquin bought a bookcase on sale for $120, which was two-thirds of the original price. What was the original price of the bookcase?
Answers
Because 120 divided by 2 is 60.
And 120 + 60 is 180
fine the nth term of 11,13,15,17
Answers
The nth term of 11,13,15,17 is,
⇒ T (n) = 9 + 2n
Given that;
The sequence is,
11, 13, 15, 17, ....
Here, Common difference is,
13 - 11 = 2
15 - 13 = 2
Hence, Sequence is in Arithmetic sequence.
So, the nth term of 11,13,15,17 is,
⇒ T (n) = a + (n - 1)d
⇒ T (n) = 11 + (n - 1) 2
⇒ T (n) = 11 + 2n - 2
⇒ T (n) = 9 + 2n
Thus, The nth term of 11,13,15,17 is,
⇒ T (n) = 9 + 2n
Learn more about the Arithmetic sequence visit:
https://brainly.com/question/6561461
#SPJ1
How many times does the quadratic function below intersect the x-axis?
y = x+3x+15
Answers
because it’s a positive parabola and the y-intercept is greater than 0
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.
A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.
B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.
C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.
D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.
For more such questions on angle
https://brainly.com/question/29165823
#SPJ8
Matt and Bree are saving for a new car. At the end of 2013, their total savings was $12,500 . In 2014, total savings increased to $15,550 . How much did Matt and Bree save in 2014
Answers
Answer:
They saved $3000 in 2014
Step-by-step explanation:
Given
\(Savings (2013) = \$12500\)
\(Total (2014) = \$15500\)
Required
Determine the savings in 2014
This is calculated by subtracting the savings in 2013 from the total savings.
i.e.
\(Savings(2014) = Total(2014) - Savings(2013)\)
This gives:
\(Savings(2014) = \$15500 - \$12500\)
\(Savings(2014) = \$3000\)
Hence, they saved $3000 in 2014
A cylinder has a base diameter of 6 cm and a height of 18 cm. What is its volume in cubic centimeters to the nearest tenths place?
Answers
Answer:
108 cm that my answer
sana makatulong
The answer is 508.9 cubed
108cm cubed is wrong
Use the table to write a linear function that relates y to z
X -4, -2, 0, 2
Y 6, 7, 8 , 9
Answers
Answer:
The linear function is
Step-by-step explanation:
A linear function has the following format:
In which m is the slope and b is the y-intercept(the value of y when x = 0).
In the table, we have that when x = 0, y = 2
This means that . So
Finding the slope:
We take two points, and the slope is given by the change in y divided by the change in x.
Points (0,2) and (1,-1)
Change in y: -1 - 2 = -3
Change in x: 1 - 0 = 1
Slope:
So
Step-by-step explanation: