Answer:
m= -12
Step-by-step explanation:
-5(3m + 6)= -3(4m -2)
-15m - 30= -12m+6
-15m + 12m= 6 +30
- 3m = 36
m= -12
It takes 5 yards of fabric to manufacture a dress. If the textile
factory turned their entire yearly production of 1.08 x 10 yards
of fabric into dresses, how many could they make?
Give your answer in scientific notation.
Answer:
Look bellow
Step-by-step explanation:
1.08 x 10 = the total amount they have (10.8)
Get the 10.8 and divide it by 5
5 because it takes 5 yards to make one dress
HELP PLEASE :) 80 POINTS
In the following equations, let x =-3 and y = 2/3. Determine whether the following equations are true or false, or neither true or false.
A. xy = -2
B. x + 3y = -1
C. x + z = 4
D. 9y = -2x
E. y/x = -2
F. -2/x / y = -1
xy = -2
(-3)(2/3) = -2
-2 = -2 TRUE
x + 3y = -1
-3 + 3(2/3) = -1
-3 + 2 = -1
-1 = -1 TRUE
x + z = 4
-3 + z = 4
z = 7 NEITHER
9y = -2x
9(2/3) = -2(-3)
6 = 6 TRUE
y/x = -2
(2/3)/(-3) = -2
-0.22... = -2 FALSE
-2/x / y = -1
-2/-3 / 2/3 = -1
2/3 / 2/3 = -1
1 = -1 FALSE
Best of Luck!
Answer:
A. xy = -2 - true
B. x + 3y = -1 - false doesn't equal -1 it equals -2
C. x + z = 4 - neither because z
D. 9y = -2x - false because it equals -6
E. y/x = -2 - false because it equals -.2222222
F. -2/x / y = -1 - false it equals positive 1
The line plot below shows the amount of water ( in gallons) students drank in a week. What is the difference in the lowest amount of water and the highest amount of water students drank
The difference in the lowest amount of water and the highest amount of water students drank is 1/2
How to determine the difference?From the complete question (see attachment for line plot), we have:
Least = 1/8
Highest = 5/8
The difference is then calculated as:
Difference = Highest - Least
This gives
Difference = 5/8 - 1/8
Evaluate
Difference = 4/8
Simplify
Difference = 1/2
Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2
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Please someone help me if your good at math I’m struggling here:/I’ll mark brainliest
A.$4/1 lb
B.$8/2 lb
C.1 lb/$4
D.$1/4 lb
Answer:the until prince is 4/1
Step-by-step explanation:
The graph is proportional since it’s a straight line through origin and the rate is 4/1 on the bottom
Sorry if I’m wrong
What’s the answer to this math question?
Answer:
Step-by-step explanation:
So we know what a gradient is = y=mx+c So you have to make a triangle with the 2 numbers touching a line and make a triangle the conects to both of them. and then you will get the answer
You build and sell toy cars for $36 each. So far, you have built 25 toy cars. How many more toy cars will you have to build and sell to earn $1,620?
Answer:
45
Step-by-step explanation:
36 times 25 =900 from then keep adding 36 and count the times you add 36 and it comes out as 45 i believe tell me if I'm wrong
Please help with this I do not know how to do this
Answer:
x=10 degrees
Step-by-step explanation:
they are vertical angles so the two are equal ( search vertical angle theorem for more info)
make an equation: 110=(8x+30)
simplify and solve
x=10
The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 68%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
Answer:
Likely
Step-by-step explanation:
68% is more than 2/3, so the event is likely to occur.
Answer: Likely
HELP!!! Pls!!! ( Don't look it Up pls, And If you do look it up, Tell me the app pls, THX!)
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Which step must be completed when using a compass and straightedge to construct a line through a given point, parallel to a given line?.
The procedures below must be carried out in order to use a compass and straightedge to create a line through a given point that is parallel to a given line:
1. Position the straightedge on the indicated line, and then draw a line segment through the indicated point.
2. Set the compass on the indicated point and draw two arcs that cross the line segment on either side without adjusting the compass's width.
3. Draw an arc that crosses the original line while maintaining the same compass width by setting the compass on one of the arcs' junction points.
4. Repetition of step 3 using the opposite arc's junction point.
5. Using the straightedge, draw a line between the indicated point to the locations where the
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A plane leaves town A for town B.at 0540hours.If the journey takes 6.5hours at what time does the plane reach its destination?
The plane reaches its destination at 12h10 minutes if the plane leaves town A for town B.at 0540hours
What is the time zone?For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.
We have:
A plane leaves town A for town B.at 0540hours.If the journey takes 6.5hours
05h40min
Total time takes = 6 hours and 30 minutes
= 5 hours + 40 minutes + 6 hours + 30 minutes
= 11 hours + 70 minutes
= 12 hours 10 minutes
or
= 12h10 minutes
Thus, the plane reaches its destination at 12h10 minutes if the plane leaves town A for town B.at 0540hours
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Find the value of two numbers if their sum is 12 and their difference is 4.
Answer:
8 and 4
Step-by-step explanation:
(c) 7 bananas and 5 mangoes cost $36. Write an equation in b and m to represent the information.
Answer:
7b+5m = 36
Step-by-step explanation:
7 bananas and 5 mangoes cost $36
7b+5m = 36
jolene has a 85% average on her quizzes, and 98% average on her homework, and a 89% average on her tests. quarter gardes are composed of 25% from quizzes, 25% from homework, and 50% from tests. if during the quarter she has taken 9 quizzes, 32 homeworks and 2 tests, what is the minimum score she needs in her next test to have an A in the class?
Answer:
415
Step-by-step explanation:
(7x-11) (6x-1) find the value of x
Answer:
Hey!
Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°
We can write the expression as (7x - 1) + (6x - 1) = 180
Simplify
→ (7x + −1) + (6x + −1) = 180
Combine Like Terms
→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180
Add 2 To Both Sides
→ 13x - 2 + 2 = 180 + 2 → 13x = 182
Divide 13 To Both Sides
13x/13 = 182/13 → x = 14
Hence, the value of x is 14!
-------------------------------------------------
Hope This Helped! Good Luck!
you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
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calculate the natural cubic spline interpolating the data points {(1,2), (3,8), (5,4), (7,6)}.
The natural cubic splinecan be represented by three cubic polynomials:
S1(x) = 2 + 2(x - 1) + 0.5\((x - 1)^{3}\). S2(x) = 8 - 2(x - 3) - 0.5\((x - 3)^{3}\). S3(x) = 4 + 1(x - 5) + 0.5\((x - 5)^{3}\)
we need to find a set of cubic polynomials that interpolate the given data points while satisfying certain conditions.
First, we divide the interval [1, 7] into three subintervals: [1, 3], [3, 5], and [5, 7].
Next, for each subinterval, we determine a cubic polynomial that passes through the corresponding data points. We define S1(x) for the interval [1, 3], S2(x) for [3, 5], and S3(x) for [5, 7].
To ensure smoothness, we require the first and second derivatives of adjacent polynomials to be equal at the shared data points. This results in a system of equations that can be solved to determine the coefficients of the cubic polynomials.
Finally, to achieve a natural spline, we impose the condition that the second derivatives at the endpoints (1 and 7) are zero.
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what is 3/4x - 1/2y = 1/8 in slope intercept form
Answer:
y = ( 3x / 2 ) - ( 1 / 4 )
Step-by-step explanation:
Slope-intercept form is y = mx + b
In the reading, it states: F∝ r 2
1
What is the interpretation of this equation? A. Gravity is a force that acts as a directly proportional square law with respect to distance. B. Gravity is a force that acts as an inversely proportional law with respect to distance. c. Gravity is a force that acts as an inversely proportional square law with respect to distance. D. Gravity is a force that acts as an directly proportional law with respect to distance. QUESTION 2 What is currently used to test how the constant G has changed over the evolution of the Universe? A. atoms B. type la supernovae c. black holes D. comets QUESTION 3 By the same token as this excerpt, the gravity of the Sun is directed and A. upwards; towards the center of the Sun B. downwards; towards the surface of the Sun c. upwards; towards the surface of the Sun D. downwards; towards the center of the Sun
1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.
2. B. Type Ia supernovae
3. D. Downwards; towards the center of the Sun
The interpretation of the equations and the correct options for the given questions are as follows:
Question 1:
The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:
C. Gravity is a force that acts as an inversely proportional square law with respect to distance.
Question 2:
To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:
B. Type Ia supernovae
Question 3:
Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:
D. Downwards; towards the center of the Sun
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1,200 and 11 and you will get 13,200
Answer:
That is true!
\(1,200 * 11 = 13,200\)
Let me know if you need more help with multiplication. I may be able to help.
Have a great day.
PLS HELP ME $!!!!!!!
Step-by-step explanation:
(-1)⁴ - 11 = 1 - 11 = -10
0⁴ -11 = -11
1⁴ - 11 = -10
2⁴ -11 = -3
If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
If the function, f(a) = 3a – a2, then, The statement which are not true are:
1. f(-1) = 2
2. f(0) = 3
Function:
Functions, in mathematics, expression, rule or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and essential for establishing physical relationships in science.
According to the Question:
Given that:
f(a) = 3a - a²
The statements which are correct are as follow:
f(4)= 3*4-4²= -4
f(3)= 3*3-3²= 0
f(-5) = 3*(-5)-(-5)²= -15-25= -40
Now,
The statements which are not correct are as follow:
f(-1) = 3*(-1)-(-1)²=-3+1= -2
f(0) = 3*0-0²= 0
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the back of dante's property is a creek. dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. if there is 200 feet of fencing available, what is the maximum possible area of the corral?
If there is 200 feet of fencing available, the maximum possible area of the corral is 5000 Feet.
In the question, if there is 200 feet of fencing available, then we have to find the maximum possible area of the corral.
The formula of area of rectangle is:
A = L × B, where L is the length of the rectangle and B is the breadth of the rectangle.
The A = 200 feet and rectangular area is enclosed using the creek as one side and fencing for the other three sides, to create a corral.
So, L + 2B = 200
Subtract L on both side, we get
2B = 200 - L
Divide by 2 on both side, we get
B = 100 - L/2
A = f(L)
A = L·(100 - L/2)
A = 100L - \(L^2\)/2
Now finding the derivative.
A' = \(\frac{df(L)}{dL}\)
A' = -L + 100
Let A' = 0
-L + 100 = 0
Subtract 100 on both side, we get
-L = -100
L = 100 feet
Now putting the value of L in B = 100 - L/2.
B = 100 - 100/2
B = 100 - 50
B = 50 feet
The maximum possible area of the corral = 100 × 50
The maximum possible area of the corral = 5000 Feet
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find the surface area for a sphere with a radius of 10 feet. round to the nearest whole number. a. 1,256 ft2b. 4,189 ft2c. 1,089 ft2d. 1,568 ft2
The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².
The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.
To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:
Surface Area = 4πr²
Where r is the radius of the sphere.
Plugging in the value of r=10 into the formula, we get:
Surface Area = 4π(10) = 400π
Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,
=> Surface Area = 400 * 3.14 = 1256
Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).
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Use the distributive property to write an equivalent expression of the following
2 ( b + c )
5 (7h + 3m)
4 (x+y)
c ( 3a + b )
Answer:
2b+2c
35h+15m
4x+4y
3ac+bc
Answer:
Solution given:
2 ( b + c )=2b+2c
5 (7h + 3m)=35h+15m
4 (x+y)=4x+4y
c ( 3a + b )=3ac+bc
why is the term ""arc"" used to describe units of measure for angular distance
The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.
Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.
This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.
The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).
Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.
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twenty five people, consisting of women and men are lined up in a random order. find the probability that the ninth woman to appear is in position 17. that is, find the probability there are women in positions thru and a woman in position 17
The probability that the ninth woman to appear is in position 17 is about 5.59%
We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.
The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.
Using this formula with n = 16 and k = 8, we get:
P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8
= 12870 * 0.00390625
= 50.27
This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.
Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.
Therefore, the overall probability that the ninth woman to appear is in position 17 is:
P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%
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[y=-z+2
y=-2²+z+1
Which ordered pair is the solution of the system?
The graph shows the system
0 (0, 2)
O (1,2)
(1,1)
(0, 1)
+
Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).
What exactly are ordered pairs?"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.
Here, The formulae are as follows:
=>y = -z + 2 ...(1)
=> y = -2x² + z + 1 ...(2)
Equation (1) can be substituted for equation (2) to find the value of z:
=> Z = x² + 1/2 - z + 2 = -2x² + z + 1
=> 2z = 2x² + 1
We can now enter this value of z into equation (1) and find the value of y:
=> y = -z + 2
=> y = -(x² + 1/2) + 2
=> y = -x² + 3/2
As a result, the equation system can be expressed as:
=> z = x² + 1/2
=> y = -x² + 3/2
When x=0:
=> z = 0² + 1/2 = 1/2
=> y = -0² + 3/2 = 3/2
Therefore, there is no answer for the ordered pair (0, 3/2).
When x=1:
=> z = 1² + 1/2 = 3/2
=> y = -1² + 3/2 = 1/2
The answer is the ordered pair (1, 1/2).
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Homework 18.1.-trigonometric ratios
Find the 3 trigonometric ratios. If needed, reduce fractions.
The trigonometric ratios with respect to angle A are given as follows:
sin(A) = 12/37.cos(A) = 35/37.tan(A) = 12/35.What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.The hypotenuse is of 37, and the sides relative to angle A are given as follows:
Opposite side of 12.Adjacent side of 35.Hence the trigonometric ratios are given as follows:
sin(A) = 12/37.cos(A) = 35/37.tan(A) = 12/35.More can be learned about trigonometric ratios at brainly.com/question/24349828
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A popular video game retailer develops apps. The total profit, in dollars per day, after x days can be modeled by the function R(x) = 2x^3 - 20x^2 + 26x + 48. The total
cost, in dollars per day, after x days, can be modeled by the function A(x) = x^2 - 2x - 3. After how many days does the retailer start making money?
8
16
32
64
The video game retail company started making profit from sales after 8 days as obtained from the profit function given.
Using the profit function given, we could use the trial by error method to obtain when he started making profit.
The profit function :
R(x) = 2x³ - 20x² + 26x + 48
At, x = 8
R(8) = 2(8³) - 20(8²) + 26(8) + 48 = 0
At, x = 9
R(9) = 2(9³) - 20(9²) + 26(9) + 48 = 120
At x = 16 ;
R(16) = 2(16³) - 20(16²) + 26(16) + 48 = 3536
At x = 32 ;
R(32) = 2(32³) - 20(32²) + 26(32) + 48 = 45936
From the profit values obtained, we could see that, profit made after 8 days is 0 ; and the profit made after 9 days is 120
Hence, we could conclude that, the retail company started making profit after 8 days where the profit value is Zero.
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Answer:
After 8 days
Step-by-step explanation: