The domain is all real numbers, range is all positive real numbers. As x decreases, h(x) will decrease. As x increases, h(x) will increase.
The domain of the exponential function h(x) = 125x is all real numbers, as x can take on any value.
The range of the function is all positive real numbers, as the base (125) raised to any power (x) will always be positive.
As x decreases, h(x) will decrease. This is because when the base of an exponential function is greater than 1, as is the case here with 125, the function increases as the exponent increases, and decreases as the exponent decreases. So, as x becomes more negative, h(x) becomes smaller.
As x increases, h(x) will increase. This is because, as mentioned above, when the base of an exponential function is greater than 1, the function increases as the exponent increases. So, as x becomes more positive, h(x) becomes larger.
Overall, the function h(x) = 125x is an increasing function with a domain of all real numbers and a range of all positive real numbers.
To learn more about exponential function click on,
https://brainly.com/question/28028689
#SPJ1
express the double integral d f (x, y) da as an iterated integral for the given function f and region d.
An iterated integral for the given function f and region d is [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex].
What is integral?
An integral is the continuous equivalent of a sum in mathematics, where sums are used to compute areas, volumes, and their generalizations. One of the two basic operations in calculus, along with differentiation, is integration, which is the process of computing an integral.
Here, we have
Given: Consider the following F(x, y) = x + y YA (1,1) D 0 2 x
Equation of line passes through (2,0),(1,1)
= (y - y₁)/(y₂ - y₁) = (x - x₁)/(x₂ - x₁)
= (y - 0)/(1 - 0) = (x - 2)/(1 - 2)
= y/1 = (x-2)/(-1)
y = -x + 2
x = 2-y
∫∫F(x,y)dA = [tex]\int\limits^0_1 \int\limits^2_y {f(x,y)} \, dx dy[/tex]
∫∫F(x,y)dA = [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex]
Hence, an iterated integral for the given function f and region d is [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex].
To learn more avbout the integral from the given link
https://brainly.com/question/27419605
#SPJ4
Over the previous three weeks a work center produced 36,43 , and 35 standard hours of work. What is the measured capacity? (10pts) a. 114 standard hours b.36 standard hours c. 38 standard hours d. 43 standard hours e. cannot be determined with this data
The correct answer is (a) 114 standard hours.
To find the measured capacity of the work center, we need to add up the standard hours of work produced over the previous three weeks.
36 + 43 + 35 = 114
Therefore, the measured capacity of the work center is 114 standard hours.
The answer is (a) 114 standard hours.
To determine the measured capacity of the work center, you need to sum up the standard hours of work produced over the three weeks.
Here's the calculation:
36 standard hours (week 1) + 43 standard hours (week 2) + 35 standard hours (week 3) = 114 standard hours
So, the measured capacity of the work center is 114 standard hours. The correct answer is (a) 114 standard hours.
To know more about sum: brainly.com/question/13013054
#SPJ11
The measured capacity of the work center is 114 standard hours. The correct answer is (a) 114 standard hours.
The correct answer is (a) 114 standard hours.
We must tally up the standard hours of work completed during the preceding three weeks in order to determine the measured capacity of the work center
36 + 43 + 35 = 114
Therefore, the measured capacity of the work center is 114 standard hours.
You must total the standard hours of work completed over the course of the three weeks in order to calculate the measured capacity of the work center.
Here's the calculation:
36 standard hours (week 1) + 43 standard hours (week 2) + 35 standard hours (week 3) = 114 standard hours
So, the measured capacity of the work center is 114 standard hours. The correct answer is (a) 114 standard hours.
Learn more about “ standard hours. “ visit here;
https://brainly.com/question/13015001
#SPJ4
(Part 1 of 2) Please Help there is not much time left (Look at photo)
The average rate of change of each function on the interval 2 ≤ x ≤ 6 is given as follows:
f(x): -1.25.g(x): -0.715.How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.
For the function f(x), we have that:
When x = 2, y = 7.When x = 6, y = 2.Hence the rate is given as follows:
r = (2 - 7)/(6 - 2)
r = -5/4
r = -1.25.
For the function g(x), we have that:
When x = 2, y = 2(-5/7) - 6 = -7.43.When x = 6, y = 6(-5/7) - 6 = -10.29.Hence the rate is given as follows:
r = (-10.29 - (-7.43))/(6 - 2)
r = -0.715
More can be learned about the average rate of change of a function at brainly.com/question/11627203
#SPJ1
HELP I DONT GET THIS!!Add.
(6d²+3d)+(7d+3)
Answer:
the answer is...
Step-by-step explanation:
6d^2 + 10d + 21
5) What is the correct definition of a resume?
Question 5 options:
a letter listing all former employers, salaries and positions the applicant has ever had
a document listing detailed reasons why the applicant wants to work for the company and why he should be chosen
a letter serving as a sample of the applicant's writing skills and communication style
a document describing the applicant's experience, strengths, skills, education, and other qualifications
Answer:
The correction definition of a resume is a document describing the applicant's experience, strengths, skills, education and other qualifications.
Solve for the Social Security contribution if the percentage deduction is 8.5% for the income of $112, 000
Answer:$9,520.
Step-by-step explanation:
o solve for the Social Security contribution, you can use the following formula:Social Security contribution = (percentage deduction/100) x incomeSubstituting the given values:Social Security contribution = (8.5/100) x $112,000
= $9,520Therefore, the Social Security contribution for an income of $112,000 with a percentage deduction of 8.5% is $9,520.
Simplify the radical
[tex]\sqrt{x} 245[/tex]
The radical expression √45 when simplified has a value of 3√5
Simplifying the radical expressionFrom the question, we have the following parameters that can be used in our computation:
The radical expression √45
Express 45 as the product of 9 and 5
So, we have the following representation
√45 = √(9 * 5)
Expand the expression
This gives
√45 = √9 * √5
Take teh square roots of 9
This gives
√45 = 3 * √5
Lastly, we have
√45 = 3√5
Hence, the radical expression when simplified is 3√5
Read more about expression at
https://brainly.com/question/12052952
#SPJ1
Complete question
Simplify the radical √45
Which scatter plot shows a negative nonlinear association?
A.
Scatter plot graph in quadrant 1 of a coordinate plane. 11 points are plotted approximated at (2, 5), (1.5, 11.5), (3.1, 6.1), (4, 9), (5.9, 12.5), (7, 6), (7.5, 8.5), (8, 11), (8.9, 4.1), (9, 8), and (11, 10).
B.
Scatter plot Graph on a coordinate plane. Closed points plotted at (3, 11), (3, 12), (4, 11), (4.2, 12), (5, 10.8), (5.4, 12), (6, 10), (6.5, 11), (6.9, 9), (7.1, 6), (7.1, 7.7), (7.8, 9), (8.1, 6.1), (8, 7.5).
C.
Scatter plot in quadrant 1 of a coordinate plane. 10 points are plotted at (2, 11), (2.5, 9), (3, 10), (4, 8), (5, 8.2), (5.5, 6.5), (6.5, 7), (6.5, 5), (8, 5.8), and (9, 4).
D.
Scatter plot in quadrant 1 of a coordinate plane. 10 points are plotted at (2, 3), (2.8, 4.2), (3.8, 3.2), (4, 4.6), (4, 6), (5, 5), (6, 8), (7, 7), (7.8, 9.2), and (8.9, 9.1).
The scatter plot that shows a negative nonlinear association is option C.
What is scatter plot?A scatter plot is a type of graph that displays the relationship between two variables. It is used to show how much one variable is affected by another variable. One variable is plotted on the horizontal axis (x-axis) and the other variable is plotted on the vertical axis (y-axis).
Here,
In this scatter plot, as the x-axis values increase, the y-axis values initially increase and then decrease. This type of association is referred to as a negative nonlinear association, where the direction of the association is negative (decreasing) and the shape of the association is nonlinear (not a straight line). The other options either show a positive association (increasing values of x and y) or a linear association (a straight line).
To know more about scatter plot,
https://brainly.com/question/13984412
#SPJ1
Charlie jumped a distance of 81/feet. His younger 1 brother jumped a distance of 35/L feet and then jumped 21 feet Who jumped farther? How much farther? Explain how you found your answer.
Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.
To compare the distances that Charlie and his younger brother jumped, we need to find a common unit of measurement. We can convert the mixed numbers into improper fractions to make the calculation easier.
Charlie jumped 81/1 feet, which is the same as 81 feet.
His younger brother jumped 35/L feet and then 21 feet. We don't know the exact value of L, but we can still compare the distances by assuming L is a constant value. So, the total distance his younger brother jumped is:
35/L + 21 feet
We can simplify the expression by finding a common denominator:
(35 + 21L)/L feet
To compare the distances, we can subtract the distances jumped by Charlie and his younger brother:
81 - (35 + 21L)/L
To determine who jumped farther, we need to simplify this expression by finding a common denominator:
(81L - 35 - 21L)/L
Simplifying further:
(60L + 35)/L
We don't know the exact value of L, but we can say that if L is any positive value, then 60L + 35 is greater than 81. Therefore, Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.
To learn more about distance click on,
https://brainly.com/question/29126288
#SPJ4
Please help will give brainiest to whoever has the right answer and thxsss in advance
The composite figure that has an area of 40 square yards would be composed of a rectangle and a triangle.
It is not true that when two composite figures have the same area, they must also have the same perimeter.
How to design the composite shape ?The composite figure is composed of a rectangle and a triangle placed side by side. The rectangle has a width of 5 yards and a length of 6 yards. The triangle is a right triangle with a base of 4 yards and a height of 5 yards.
Area Calculation:
The area of the rectangle is length × width = 5 yards × 6 yards = 30 square yards.
The area of the triangle is (1/2) × base × height = (1/2) × 4 yards × 5 yards = 10 square yards.
The total area of the composite figure is the sum of the rectangle's area and the triangle's area: 30 square yards + 10 square yards = 40 square yards.
Why is your friend's argument on composite shapes wrong ?I disagree with your friend's statement that when two composite figures have the same area, they must also have the same perimeter. It is possible for two composite figures to have the same area but different perimeters.
Example:
Consider a square with a side length of 4 units. Its area is 16 square units, and its perimeter is 16 units.
Now, consider a rectangle with a length of 8 units and a width of 2 units. Its area is also 16 square units (8 x 2), but its perimeter is 20 units (8 + 8 + 2 + 2).
Both the square and the rectangle have the same area (16 square units) but different perimeters (16 units and 20 units, respectively).
Find out more on composite shapes at https://brainly.com/question/28838199
#SPJ1
#3 Solve the triangle. Round decimal to the nearest tenth
The missing measures for the triangle are given as follows:
m < B = 65º.a = 23.8. b = 32.2.What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is obtained as follows:
m < B + 73 + 42 = 180
m < B = 180 - 115
m < B = 65º.
Then the relation is:
34/sin(73º) = a/sin(42º) = b/sin(65º).
Then the value of a is obtained as follows:
34/sin(73º) = a/sin(42º)
a = 34 x sine of 42 degrees/sine of 73 degrees
a = 23.8.
The value of b is obtained as follows:
34/sin(73º) = b/sin(65º)
b = 34 x sine of 65 degrees/sine of 73 degrees
b = 32.2.
More can be learned about the law of sines at https://brainly.com/question/4372174
#SPJ1
The length of Gwen's rectangular living room is 12 meters and the distance between opposite corners is 13 meters. What is the width of Gwen's living room?
Answer:
5 meters
Step-by-step explanation:
You want to know the width of a rectangular living room that is 12 m along one side and 13 m along the diagonal.
DiagonalThe diagonal of a rectangle is the hypotenuse of each of the right triangles it creates by dividing the rectangle in half. If one side length is 12 and the diagonal is 13, these measures are part of the {5, 12, 13} Pythagorean triple.
The width of the living room is 5 meters.
__
Additional comment
You can use the Pythagorean theorem to find the missing length:
13² = 12² +w²
169 -144 = w²
w = √25 = 5
The width of the living room is 5 meters.
Other Pythagorean triples you see in algebra, trig, and geometry problems are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41} and their multiples.
if all these statistics were analyzed at the end of the season, the correlation between number of wins and each of the four baseball statistics would be an example of
The correlation between the number of wins and each of the four baseball statistics would be an example of bivariate correlation analysis, which measures the strength and direction of the relationship between two variables.
The correlation between number of wins and each of the four baseball statistics would be an example of a bivariate correlation, which measures the strength and direction of the linear relationship between two variables. In this case, the two variables would be the number of wins and each of the four baseball statistics. The correlation coefficient would provide a numerical value that represents the degree of association between the two variables
A positive correlation coefficient would indicate that as one variable increases, so does the other, while a negative correlation coefficient would indicate that as one variable increases, the other decreases.
Learn more about correlation
https://brainly.com/question/30116167
#SPJ4
If all these statistics were analyzed at the end of the season, the correlation between the number of wins and each of
the four baseball statistics would be an example of bivariate analysis.
Bivariate analysis involves analyzing the relationship between two variables to determine if there is any correlation or
association between them.
In this case, the two variables are the number of wins and each of the four baseball statistics.
By conducting a bivariate analysis, you can identify if there is any significant relationship between these variables and
potentially draw conclusions about their impact on team performance.
If all these statistics were analyzed at the end of the season, the correlation between the number of wins and each of
the four baseball statistics would be an example of bivariate analysis.
for such more question on bivariate analysis.
https://brainly.com/question/29525585
#SPJ11
[tex]6e/7=48\\[/tex]
The solution of the given equation 6e/7 = 48 is given by, e = 56.
Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.
Given the equation is,
6e/7 = 48
We have to solve this equation and have to find the value of 'e' which satisfy this equation.
Solving the given equation we get,
6e = 48*7 [On multiplying 7 with both sides]
6e = 336
e = 336/6 [On dividing 6 from both sides]
e = 56
Hence the solution of the given equation is, e = 56.
To know more about equation here
https://brainly.com/question/17145398
#SPJ1
At Bob's Auto Plaza there are currently 15 new cars, 7 used cars, 9 new trucks, and 6 used trucks. Bob is going to choose one of these vehicles at random to be the Deal of the Month. What is the probability that the vehicle that Bob chooses is new or is a car
The probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex]
To determine the probability that the vehicle Bob chooses is new or is a car at Bob's Auto Plaza, follow these steps:
1. Calculate the total number of vehicles:
15 new cars + 7 used cars + 9 new trucks + 6 used trucks = 37 vehicles
2. Calculate the number of new vehicles:
15 new cars + 9 new trucks = 24 new vehicles
3. Calculate the number of cars (both new and used):
15 new cars + 7 used cars = 22 cars
4. Since we have already counted the new cars in both categories, we need to subtract the number of new cars once to avoid double counting:
24 new vehicles + 22 cars - 15 new cars = 31 vehicles that are either new or cars
5. Finally, calculate the probability:
Probability = (number of vehicles that are new or cars) / (total number of vehicles)
[tex]Probability = \frac{31}{37}[/tex]
So, the probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex] .
To know more about "Probability" refer here:
https://brainly.com/question/30034780#
#SPJ11
I NEED HELP ON THIS ASAP!!!
The exponential function f(x) = 2^x is given by the blue graph on the given graph.
What is an horizontal asymptote?The horizontal asymptote of a function is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
The function in this problem is defined as follows:
y = 2^x.
Two relevant numeric values are given as follows:
When x = -1, y = 2^(-1) = 1/2 = 0.5.When x = 0, y = 2^0 = 1.Hence the function is represented by the blue graph.
The horizontal asymptote is of y = 0, as when x goes to negative infinity, y goes to zero.
More can be learned about exponential functions at https://brainly.com/question/2456547
#SPJ1
The mean on a Biology test was 78. What is your score on the test if you scored 2 deviations above the mean with a standard deviation of 8?
Your score on the Biology test is 94.
How to find your score on the test if you scored 2 deviations above the mean with a standard deviation of 8?If you scored 2 deviations above the mean, that means your score is 2 standard deviations above the mean. Since the standard deviation is 8, 2 standard deviations above the mean is:
2 * 8 = 16
Thus, your score on the test is:
78 + 16 = 94
Therefore, your score on the Biology test is 94 if you scored 2 deviations above the mean with a standard deviation of 8.
Learn more about mean on:
https://brainly.com/question/1136789
#SPJ1
What is 270% of 136ft?
Answer:
367.2
Step-by-step explanation:
Basically 270% is 2.7 so if you multiply 2.7 by 136 you will get 367.2
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A: B: C: D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding the volume of the cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
According to the information, we can infer that the dimension of each shape is A are 8 x 8.5 x 2, B are 8 x 2 x 10, olume of 401.9 cubic inches, height of 2 inches and a radius of 4 inches.
How to calculate the dimensions of each shape?For shape A, the height of the rectangular prism is equal to the length of the paper (8 inches) and the width is equal to one-fourth of the width of the paper (2 inches). Therefore, the dimensions of shape A are 8 x 8.5 x 2.
For shape B, the height of the rectangular prism is equal to one-fourth of the length of the paper (2 inches) and the width is equal to the width of the paper (8 inches). Therefore, the dimensions of shape B are 8 x 2 x 10.
For shape C, the height of the cylinder is equal to the length of the paper (8 inches) and the radius of the circle top is equal to one-half of the width of the paper (4 inches). Therefore, the dimensions of shape C are a height of 8 inches and a radius of 4 inches, giving a volume of 401.9 cubic inches (rounded to one decimal place).
For shape D, the height of the cylinder is equal to one-fourth of the length of the paper (2 inches) and the radius of the circle top is equal to one-half of the width of the paper (4 inches). Therefore, the dimensions of shape D are a height of 2 inches and a radius of 4 inches, giving a volume of 100.5 cubic inches (rounded to one decimal place).
Learn more about dimensions in: https://brainly.com/question/28688567
#SPJ1
A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters.
What is the area A of each section of the circle?
The area A of each of the section of the circle would be =78.5m²
How to calculate the area of each section of the circle given?To calculate the area of each section of the circle given, the formula for the area of circle is used which is given as follows;
Area of circle = πr²
Where;
π = 3.14
r = 10m
area = 3.14× 10×10
= 314m
But the circle is divided into 4 sections. Therefore, the area of a section = 314/4 = 78.5m²
Therefore, the area of each sector of the circle after being divided into four would be= 78.5m².
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
Use the formula 6p + 3q = t to find the value of q when p = 4 and t = 24. 6
Can I have some help please
When p=4 and t=24 then substituting these values into the equation 6p + 3q = t we get q=0.
To find the value of q in the equation 6p + 3q = t when p = 4 and t = 24, you can substitute the given values into the equation and solve for q. First, replace p with 4 and t with 24
6(4) + 3q = 24
Simplify the left side of the equation
24 + 3q = 24
Subtract 24 from both sides
3q = 0
Divide both sides by 3
q = 0
Therefore, when p = 4 and t = 24, q is equal to 0.
To know more about Substitution:
https://brainly.com/question/24518649
#SPJ4
Find the midpoint of A and B where A has coordinates (-3, -5) and B has coordinates (4, 4).
Answer:
(0.5, -0.5)
Step-by-step explanation:
To find the midpoint of A and B, we can use the midpoint formula. The formula involves finding the average of the x-coordinates and the average of the y-coordinates.
Midpoint formula: ((x1 + x2) / 2 , (y1 + y2) / 2)
Using the coordinates of A (-3, -5) and B (4, 4), we can plug them into the formula:
(((-3) + 4) / 2 , ((-5) + 4) / 2)
Simplifying this gives us the midpoint of A and B: (0.5, -0.5).
Therefore, the midpoint of A and B is at coordinates (0.5, -0.5).
Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
The calculated value of the percent error of the measurement is 18.7%.
Calculating the percentage errorPercent error is calculated by subtracting the measured value from the actual value, dividing the result by the actual value, and then multiplying by 100 to get a percentage.
Using this formula, we have:
Error = Actual Value - Measured Value = 13.4 - 10.9 = 2.5
So, we have
Percent Error = (Error / Actual Value) * 100 = (2.5 / 13.4) * 100 ≈ 18.7%
Therefore, the percent error of the measurement is approximately 18.7%.
Read more about percentage change at
https://brainly.com/question/23885199
#SPJ1
Label the legs of triangle PQR as a and b and label the hypotenuse c leg a has already been labeled for you
The hypotenuse is c and the other leg is b.
Given is a right triangle we need to label the sides,
The sides are =
PR = a
PQ = c
QR = b
Here, a and b are the legs and c is the hypotenuse of the given right triangle.
Hence the hypotenuse is c and the other leg is b.
Learn more about hypotenuse, click;
https://brainly.com/question/29407794
#SPJ1
3. Find volume. Show work, round to 2 decimal places.
*square based pyramid*
the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma
The standard error of the mean for a sample of 100 is 30. In order to cut the standard error of the mean to 15, we would a) increase the sample size to 200. b) increase the sample size to 400. c) decrease the sample size to 50. d) decrease the sample to 25.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
The given standard error of the mean for a sample of 100 is 30. So to cut the standard error of the mean to 15, we have to proceed by increasing the sample size to 400.
The formula for evaluating the standard error of mean
SEM = SD / √(n)
here, SEM = standard error of the mean,
SD = standard deviation
n = sample size
Staging the values
15 = SD / √(100)
15 x √(100) = SD
SD = 150
Now evaluating for the value of n
15 = 150 / √(n)
15 x √(n) = 150
√(n) = 10
n = 100
Now looking at the formula, we need to decrease SEM by half,
So we proceed by increasing the sample size by a factor of 4.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
To learn more about standard error,
https://brainly.com/question/1191244
#SPJ4
Sophie makes friendship bracelets. She uses 3/5 yard of string to make one bracelet. How much string will she need to make a bracelet for her and three friends?
Answer:
2 2/5
Step-by-step explanation:
First, we convert the fraction to decimal, since 3/5 yards is the same as 3 divided by 5 = 0.6.
Now, multiply 0.6 by 4 ( Sophie is in so 3 friends + 1) = 2.4.
Finally, we convert the decimal back a fraction which is 2 2/5, (2 whole and 2/5).
Hope this Helps
Please mark me Brainliest...
A box contains 3 pens, 2 markers, and 1 highlighter. Tara selects one idem randomly and does not return it to the box. She then selects a second idem randomly. What is the probability that Tara selects 1 pen and then 1 marker? A. ) 5/36 B. ) 6/30 C. ) 6/36 D. ) 27/30
The probability that Tara selects 1 pen and then 1 marker is 6/30 (option b).
To solve this problem, we need to first find the total number of ways that Tara can select two items from the box without replacement.
In this case, we have n = 6 (3 pens, 2 markers, and 1 highlighter) and r = 2. Therefore, the total number of ways that Tara can select two items is:
6C2 = 6! / 2! (6 - 2)! = 15
Next, we need to find the number of ways that Tara can select a pen first and then a marker.
Therefore, the number of ways to select a pen first is 3, and the number of ways to select a marker second is 2. The total number of ways to select a pen first and then a marker is:
3 x 2 = 6
Finally, we can find the probability of selecting a pen first and then a marker by dividing the number of ways to select a pen first and then a marker by the total number of ways to select two items:
6 / 15 = 2 / 5
Therefore, the correct answer is option B) 6/30, which can be simplified to 2/5.
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
A cookie recipe called for 2 4/5 cups of sugar for every 2/3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups sugar would you needs
Answer:
[tex]4\frac{1}{5} cups[/tex]
Step-by-step explanation:
Let's start by setting up a ratio for the recipe.
First, rewrite 2 and 4/5 as an improper fraction.
[tex]2\frac{4}{5} = \frac{14}{5}[/tex]
We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:
[tex]\frac{2}{3} :\frac{14}{5}[/tex]
We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):
[tex]1:s[/tex]
Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:
[tex]\frac{2}{3} :\frac{14}{5} =1:s[/tex]
Multiply the means and extremes, set their products equal, and solve.
[tex]\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}[/tex]
Let's turn 21/5 into a mixed number.
[tex]\frac{21}{5} =4\frac{1}{5}[/tex]
So, if you used one cup of flour, you would need [tex]4\frac{1}{5}[/tex] cups of sugar.
given u=5i+4j and v = 4i-3j, determine -9u-v
-9u - v = -49i - 33j
To find -9u - v, you need to multiply the vector u by -9 and subtract the vector v from the result.
Given u = 5i + 4j and v = 4i - 3j, first multiply u by -9:
-9u = -9(5i + 4j) = -45i - 36j
Now, subtract the vector v from -9u:
-9u - v = (-45i - 36j) - (4i - 3j) = (-45i - 4i) + (-36j + 3j) = -49i - 33j