a=13 and b=3. solve 0.9a-1.5b
Answers
Answer:
0.9(13)-1.5(3)=7.2
Step-by-step explanation:
You just have to insert the two number you are given into the places where the letters are and the use multiplication to find the answer.
Related Questions
Factor 4x²-12x+5x-15
Answers
4x (x -3) +5 (x-3)
(4x+5) (x-3)
Answer: (4x+5) (x-3)
Answer:
\((4x+5)(x-3)\)
Step-by-step explanation:
We can separate this expression into two parts: \(4x^2-12x\) and \(5x-15\).
We can first take the first part and factor out 4x, getting \(4x(x-3)\).
We can then take the second part and factor out 5, getting \(5(x-3).\)
Now when we put these parts together, they make \(4x(x-3)+5(x-3)\\\).
The last step is to factor \((x-3)\) to get \((4x+5)(x-3)\).
find fourier transform f(x)=1\|x|
Answers
Answer:
Step-by-step explanation:
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Answers
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
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Identify the mean, median, mode, and range of the data set. 7, 6, 8, 12, 9, 13, 8
Answers
The mean is approximately 9, the median is 9, the mode is 8, and the range is 7.
To find the mean, we add up all the numbers in the data set and divide by the total number of numbers:
Mean = (7 + 6 + 8 + 12 + 9 + 13 + 8) / 7 = 63 / 7 ≈ 9
So the mean is approximately 9.
To find the median, we need to arrange the numbers in order from smallest to largest:
6, 7, 8, 8, 9, 12, 13
Since there are an odd number of values in the data set, the median is the middle value, which is 9.
To find the mode, we need to look for the value that occurs most frequently in the data set. In this case, 8 occurs twice, which is more than any other value, so the mode is 8.
To find the range, we need to subtract the smallest value from the largest value:
Range = largest value - smallest value = 13 - 6 = 7
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Find the missing lengths or missing angles.
Answers
Answer:
M = 70° ( base angles of isosceles triangles are equal)
Answer: M = 70° ( base angles of isosceles triangles are equal)
Step-by-step explanation:
Is y is proportional to x?What’s the constant of proportionality (k)?K = y/xWhat’s the equation that represents the table?
Answers
For two numbers to be proportional, they must verify:
\(y=kx\)"y is proportional to x"
In this case, to verify this, we nedd to calculate if each value of y can be founded by multiplying x by a constant k.
If y = kx is true, then:
\(k=\frac{y}{x}\)And if k is the same for al pairs (x, y) then the relationship is proportional.
Using the table we do:
\(\begin{gathered} k=\frac{2}{12}=\frac{1}{6} \\ k=\frac{3}{18}=\frac{1}{6} \\ k=\frac{4}{24}=\frac{1}{6} \\ k=\frac{5}{30}=\frac{1}{6} \end{gathered}\)Since k is the same for all pair of values, y is proportional to x.
Also we have already calculated k = 1/6
And the equation that represents the table is:
\(y=\frac{1}{6}\cdot x\)Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
Answers
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.
Answers
Answer:
An increase of $0.94
Step-by-step explanation:
I am confused on this problem and need help on how to write this equation in slope intercept form
Answers
We want to write the equation:
\(y+6=-\frac{8}{5}(x-9)\)In slope-intercept form.
The slope-intercept form is given by the equation:
\(y=mx+b\)Where m is the slope, and b is the slope-intercept with y-axis.
Now, we could start by multiplying the number outside the bracket per all the terms inside of it. This is,
\(y+6=-\frac{8}{5}x+\frac{72}{5}\)Now, we could solve the equation for y as follows:
\(\begin{gathered} y=-\frac{8}{5}x+\frac{72}{5}-6 \\ \\ y=-\frac{8}{5}x+\frac{42}{5} \end{gathered}\)And that's the slope-intercept form of the equation.
If XZ ⊥ WY, XE = 4, and WY = 7, what is the perimeter of WXYZ, rounded to the nearest tenth?
Answers
The perimeter of the rhombus is approximately 7.6 units.
XZ is perpendicular to WY and XE is 4,
Since WXYZ is a rhombus because only the diagonal of the rhombus and square bisect each other at 90°
By the Pythagorean theorem, we have:
XE² = XY² + EY²
4² = XY² + (7/2)²
XY = 1.9
So the perimeter of WXYZ is 4(XY), rounded to the nearest tenth:
4(1.9) ≈ 7.6 units.
Therefore, the perimeter of the rhombus is approximately 7.6 units.
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Find the surface area of a cylinder with a height of 8 and a base radius of 5 m.
Use the value 3.14 for, and do not do any rounding.
Be sure to include the correct unit.
Answers
Using the height and radius given, the surface area of the cylinder is 408.2m²
What is surface area of a cylinder?The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
where:
A is the surface area of the cylinder,π is the mathematical constant r is the radius of the base of the cylinder, andh is the height (or length) of the cylinder.In the given question, the data are;
h = 8mr = 5mSubstituting the value into the formula
A = 2π(5 * 8) + 2π(5)²
A = 408.2m²
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What is the graph of this function
Answers
A statement, rule, or regulation that establishes the relationship between an independent variable and a dependent variable is known as a function.
A network can be represented mathematically as a graph, which explains the connection between lines and points. A graph consists of some points with connecting lines.
Consider the function,
\(f(x)=\frac{||x||+2}{2}\) and 0 ≤ x ≤ 6
To graph the function we will find the points on the graph for different values of x.
When x = 0,
\(f(x)=\frac{||x||+2}{2}\)
\(f(x)=\frac{||0||+2}{2}=1\)
When x = 1,
\(f(x)=\frac{||x||+2}{2}\)
\(f(1)=\frac{||1||+2}{2}\\ f(1)=\frac{3}{2}\)
When x = 2,
\(f(x)=\frac{||x||+2}{2}\)
\(f(2)=\frac{||2||+2}{2}\)
\(f(2)=2\)
When x = 3,
\(f(x)=\frac{||x||+2}{2}\)
\(f(3)=\frac{||3||+2}{2}\)
\(f(3)=\frac{5}{2}\)
When x = 4,
\(f(x)=\frac{||x||+2}{2}\)
\(f(4)=\frac{||4||+2}{2}\\ f(4)=3\)
When x = 5,
\(f(x)=\frac{||x||+2}{2}\)
\(f(5)=\frac{||5||+2}{2}\)
\(f(5)=\frac{7}{2}\)
When x = 6,
\(f(x)=\frac{||x||+2}{2}\)
\(f(6)=\frac{||6||+2}{2} \\f(6)=4\)
Therefore, the points on the graph of the function \(f(x)=\frac{||x||+2}{2}\) are ( 0, 1 ), ( 1, ( 3/2 ) ), ( 2, 2 ), ( 2, ( 5/2 ) ), ( 4, 3 ), ( 5, ( 7/2 ) ), and ( 6, 4).
Hence, the graph of the function is:
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I need help with question!
Answers
for example here I used (2,-1)(0,1) and used the formula os slope y2-y1/x2-x1
1-(-1)/0-2
=2/-2
=-1
Or you can use (3,-2)(-2,3)
3-(-2)/-2-3
=5/-5
=-1
So the slope is -1
Hope this helped
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Answers
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
NEED HELP PLEASE ANSWER
Answers
Answer:
the second one m8
Step-by-step explanation:
A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.
What is the actual area of the park? Show how you know.
The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure. At what scale should the map be reproduced so that it fits on the brochure? Show your reasoning.
Answers
Answer:
Step-by-step explanation:
L = 4 in real life = 4*30 =120 miles
W=6 in real life =6*30=180 miles
actual area = 120*180 = 21600sq miles
to fit into a 6sq in paper it'll need to shrink to 2x3 inches, 1/2 of what it was before, so the scale becomes 1" for every 60miles.
HELP QUICK WILL GIVE BRAINLIEST!
Answers
Step-by-step explanation:
x= 15/26 × 30 = 17.3
y= 26/15 × 16.5 = 28.6
3.) The line which is the graph of y = 2x -4 is transformed by the rule (x,y) (-x, -y). What is the
slope of the image?
Answers
The slope of the image of the original line y = 2x - 4 after the transformation (x,y) (-x, -y) is -2.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the original line y = 2x - 4 is 2.
To find the slope of the image after the transformation, we can apply the transformation rule to two points on the original line, and then find the slope of the line passing through the images of those two points.
Let's choose two points on the original line:
Point 1: (0, -4)
Point 2: (1, -2)
Now we apply the transformation rule to each of these points:
Point 1 image: (-0, -(-4)) = (0, 4)
Point 2 image: (-1, -(-2)) = (1, 2)
The images of these two points lie on the line y = -2x + 4. The slope of this line is -2.
Therefore, the slope of the image of the original line y = 2x - 4 after the transformation (x,y) (-x, -y) is -2.
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Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answers
Answer:
its c
Step-by-step explanation:
i just took the test on plato
What value is needed to complete the square? Show all steps.
x^2-6x+__
Answers
Explanation: X^2 +6x
= x^2 + 6x + 3^2= x^2+ 6x + 9= (x+3)^2
find the slope given the points (3,1) and (10,-3)
Answers
Apply the slope (m) formula:
\(m=\frac{(y2-y1)}{(x2-x1)}\)We have the points:
Point 1 = (3,1) = (x1,y1)
Point 2 = (10,-3) = (x2,y2)
Replacing:
\(m=\text{ }\frac{-3-1}{10-3}\)Solving:
\(m=\text{ -}\frac{4}{7}\)13. Find the length of the side of a square with an area of 16.
8
4
b. 16
d. 256
a.
c.
Answers
Answer:
length of the side of the square = 4
Step-by-step explanation:
All the sides of a square are equal in length.
So, let's get the unknown side be x.
Area = length × width
16 = x × x
16 = x²
√16 = x
4 = x
Length of the side of the square = 4
Hope this helps you.
The distance is 18,950,000 km.
It takes 940 days
What is the average speed in kmh-1 to 3sf?
Answers
Answer:
849km/h
Step-by-step explanation:
940 = 22,560 h
18,950,000km/22,560h
= 840km/h
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
Answers
The value of x in the secant intersection is 4.
How to find the length in a secant?If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Therefore, let's find the value of x using the secant intersection theorem as follows;
4(4+x + 2) = 5(5 + x - 1)
4(6 + x) = 5(4 + x)
24 + 4x = 20 + 5x
24 - 20 = 5x - 4x
x = 4
Therefore,
x = 4
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The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answers
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
4. Savannah earns $247.00. How many
hours did she work?
2
Answers
Answer:
we need to know how much she earns per hour
Step-by-step explanation:
What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа
Oь
slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od
Answers
Which of the following is the correct factorization of 36x² - 4?
(6x + 2)(6x + 2)
(6x + 2)(6x - 2)
(6x - 2)(6x - 2)
(6x - 4)(6x + 1)
Answers
Answer:
Step-by-step explanation:
the first one its not that hard dipship....
Can someone help me with this please?
ASAP
Answers
The total volume of the crayon is 4,650.2 mm³.
The total surface area of the crayon is 2,300.33 mm².
What is the volume and surface area of one crayon?The volume and surface area of one crayon is calculated by applying the following formula as follows;
The volume of the cylinder is calculated as;
V = πr²h
where;
r is the radius of the cylinder = 8.5 mm / 2 = 4.25 mmh is the height of the cylinderV = π x (4.25)² x (80)
V = 4539.6 mm³
The volume of the cone is calculated as;
V = ¹/₃ πr²h
V = ¹/₃ π(6.5/2)² x (10)
V = 110.6 mm³
Total volume of the crayon = 4539.6 mm³ + 110.6 mm³ = 4,650.2 mm³
The surface area of the cylindrical part of the crayon is calculated as;
S.A = 2πrh + πr²
S.A = 2π(4.25)(80) + π(4.25)²
S.A = 2,193.03 mm²
The surface area of the cone part of the crayon is calculated as;
S.A = πrs
where;
s is the slant heightr is the radius = 6.5 mm/2 = 3.25 mms = √ (10² + 3.25²)
s = 10.51 mm
S.A = π x 3.25 mm x 10.51 mm
S.A = 107.3 mm²
The total surface area of the crayon = 107.3 mm² + 2,193.03 mm² = 2,300.33 mm²
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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