Answer:
15 seconds
Step-by-step explanation:
Because the split id 25% and 75%, we could create another average pretending that there are four kids, one who ran in 12 seconds, and three who ran in 16.
Equation for averages: (a₁ + a₂ + a₃ + ... [tex]a_{n}[/tex])/ n
Plug in: (12 + 16 + 16 + 16)/4
Add: 60/4
Divide: 15 seconds
A company reported $50,000 net cash provided by operating activities. It invested $1,000 in equipment and paid $1,000 in dividends. Its free cash flow was a) $44,000. b) $52,000. c) $48,000. d) $12,000.
Answer:
The answer is c. $48,000
Step-by-step explanation:
To find the free cash flow, we need to take into account the money that is entering the company and the money that is being used. Money that we are earning is possitive, and money being spend goes with a minus.
The net cash, the $50,000 is our sales column. And is money entering the company.
The Investment would be our CAPEX or directly we can use it as investment. And this money is being spended.
The dividends, are the payments that we are doing to the board of directors or the share holders. Since we are paying others, we know this money is being used.
The equation here is:
Sales - Investment - Dividends = Free Cash Flow
So it $50,000 - $1,000 - $1,000 = $48,000
Given y inversely proportional to x and x = 3 for y=6, what is x if y = 9?
02
0
4.5
0
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ASK FOR HELP
4.5 Is the answer required
Answer: 2
Step-by-step explanation: got it right :)
Last year at a certain high school, there were 132 boys on the honor roll and 90 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
23
Step-by-step explanation:
or 2.8 but try 23 frist
The percentage of increase of total number of students on the honor roll is obtained as 22.97%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
And to convert a fraction or a decimal into percentage, they are multiplied by 100.
The number of boys and girls on the honor code last year is given as 132 and 90.
Then, the total number is 132 + 90 = 222.
When, the number of boys increased by 25%, it can be obtained as,
⇒ 132 + 25% × 132 = 165
And, the number of girls increased by 20% can be obtained as,
⇒ 90 + 20% × 90 = 108
Now, the total number of students is 165 + 108 = 273.
The percent increase can be obtained as follows,
Change in the total number ÷ Initial number × 100
⇒ (273 - 222) ÷ 222 × 100 = 22.97%
Hence, the percent value of the increase in the number is 22.97%.
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3.
There are 2 mixtures of light purple paint.
Mixture A is made with 5 cups of purple paint and 2 cups of white paint.
- Mixture B is made with 15 cups of purple paint and 8 cups of white paint.
Which mixture is a lighter shade of purple? Explain your reasoning.
Answer:
mixture a because there's not so much purple.the more purple the darker it is
Answer:
The mixture B is a lighter shade of purple.
Step-by-step explanation:
In order to answer the question, we first need to calculate the proportion of purple in both mixtures. The mixture that has the lowest proportion of purple will be the lighter one.
For mixture A :
5 cups of purple
2 cups of white paint
⇒ Mixture A is made with 5 + 2 = 7 cups of paint in which 5 are cups of purple. Therefore, we can calculate the proportion of purple as :
[tex]\frac{5CupsOfPurple}{7CupsInTheMixture}=\frac{5}{7}=0.7143[/tex]
This means that approximately 71.43% of the mixture A is made of purple paint.
For mixture B :
15 cups of purple paint
8 cups of white paint
⇒ Mixture B is made with 15 + 8 = 23 cups of paint in which 15 are cups of purple. Therefore, we can calculate the proportion of purple as :
[tex]\frac{15CupsOfPurple}{23CupsInTheMixture}=\frac{15}{23}=0.6522[/tex]
This means that approximately 65.22% of the mixture B is made of purple paint.
If we compare the proportions :
[tex]0.7143>0.6522[/tex] ⇒ [tex]Proportion_{A}>Proportion_{B}[/tex]
We conclude that the mixture B is a lighter shade of purple because it has the lowest proportion of purple (we can also think that mixture B has the highest proportion of white)
Which of the following is a factor of 24x6 − 1029y3?
24
2x2 + 7y
4x4 + 14x2y + 49y2
All of the above
Answer:
C - 4x4+14x2y+49y2
Step-by-step explanation:
Just took the test
To determine which option is a factor of the given expression, we need to check each option individually. After checking, we find that option 2, 2x^2 + 7y, is a factor.
Explanation:To determine which of the given options is a factor of the expression 24x^6 - 1029y^3, we need to check each option individually.
Option 1: 24 - We can verify if 24 is a factor by dividing 24x^6 - 1029y^3 by 24 and checking if there is no remainder.
Option 2: 2x^2 + 7y - We can substitute values for x and y and simplify the expression to see if it equals zero for any values.
Option 3: 4x^4 + 14x^2y + 49y^2 - We can substitute values for x and y and simplify the expression to see if it equals zero for any values.
After checking each option, we can determine that option 2, 2x^2 + 7y, is a factor of the expression 24x^6 - 1029y^3.
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A sample contains 60% of its original amount of Fermium-257. The half-life of Fermium-257 is about 100 days. About how old is the sample? 52 days 60 days 74 days 136 days
Answer:
74 days
Step-by-step explanation:
The proportion left after d days is ...
p = (1/2)^(d/100)
When that proportion is 60%, we have ...
.60 = .50^(d/100)
log(.60) = (d/100)log(.50) . . . . . take logarithms
100·log(.60)/log(.50) = d ≈ 73.697 ≈ 74 . . . days
which equation is the equation of the line, in point-slope form, that has a slope of 1.9 and passes through the point (4.5, -1.4) ?
Answer:
y+1.4=1.9 (x-4.5)
Step-by-step explanation:
The slope is the number in front of the brackets, which must be positive 1.9. This eliminates the last option. It is y+1.4 because the formula is y-y1=m (x-x1)
So once you substitute values
y--4.5=1.9 (x-4.5)
y+4.5=1.9 (x-4.5)
An equation of the line in point-slope form is: B. y + 1.4 = 1.9(x - 4.5)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (4.5, -1.4) and a slope of 1.9, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-1.4) = 1.9(x - 4.5)
y + 1.4 = 1.9(x - 4.5)
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PLZ HURRY IT'S URGENT!!
The product of a number and 3 is 6 more than the number.
Which equation models this sentence?
n • 3 = n + 6
n ÷ 3 + 6 = n
n ÷ 3 = n + 6
n • 3 + n = 6
Answer
The first one
Step-by-step explanation:
The product of a number and 3 is 6 more than the number
The product of a number = n x 3
6 more than the number = n + 6
Put them together and its =
n x 3 = n + 6
I hope this helps :)
Sorry if its wrong
The product of a number and 3 is 6 more than the number is n.3 = n + 6.
What is numerical expression ?A numerical expression is of the form of numbers and their operations.
According to the question given we have to model a numerical expression from the statement given which is The product of a number and 3 is 6 more than the number.
Let the number be 'n'.
∴ Product of a number and 3 which is 3×n is 6 more than the number n + 6.
So, 3n = n + 6.
3n - n = 6.
2n = 6.
n = 6/3.
n = 2.
This can also be written as n.3 = n + 6.
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Write an equation in point-slope form for the line that passes through each point with the given slope.
1. (2,2), m = -3
2. (1,-6), m =-1
3. (-3,-4), m=0
[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})~\hspace{10em} \stackrel{slope}{m}\implies 0 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{0}[x-\stackrel{x_1}{(-3)}]\implies y+4=0(x+3) \\\\\\ y+4=0\implies y=-4[/tex]
Find the diagonal MN of the prism MEZAFUN
Answer:
MN = sqrt(34)
Step-by-step explanation:
First, draw the segment FN. The diagonal, MN, of the prism is the hypotenuse of triangle NFM. Triangle NFM is a right triangle with legs FN and FM and hypotenuse MN.
Leg FM of triangle NFM has length 4 cm.
We need to find the length of leg FN.
Look at the base of the prism which is square UNAF. FN is a diagonal of that square. Now think of right triangle FUN with legs UN and UF, each of length 3 cm. We can find FN with the Pythagorean theorem.
(UF)^2 + (UN)^2 = (FN)^2
3^2 + 3^2 = (FN)^2
(FN)^2 = 18
FN = sqrt(18)
Now we know FN. We use FN and FM as legs and find MN, the hypotenuse of triangle NFM.
(FN)^2 + (FM)^2 = (MN)^2
18 + 4^2 = (MN)^2
18 + 16 = (MN)^2
(MN)^2 = 34
MN = sqrt(34)
Can anyone help me solve this?
The answer will be 13
since he give you the C and X
you just need to add them and then subtract them from 90 degree
51+26-90=13
I hope this will helps you.
Vector A⃗ has magnitude 5.00 and is at an angle of 36.9∘ south of east. Vector B⃗ has magnitude 6.40 and is at an angle of 20.0∘ west of north. Choose the positive x-direction to the east and the positive y-direction to the north. Find the components of A⃗ .
Final answer:
The x-component of vector A is 4.00 units east, and the y-component of vector A is -3.00 units south, calculated using the cosine and sine functions respectively.
Explanation:
The student has asked for the components of vector A which has a magnitude of 5.00 units and is at an angle of 36.9° south of east. To find the components of a vector, we use trigonometric functions. The component along the x-axis (east-west direction) is found using the cosine function, and the component along the y-axis (north-south direction) is found using the sine function. Since the angle is south of east, the x-component will be positive and the y-component will be negative in our coordinate system.
The x-component of vector A (Ax) is calculated as:
Ax = A * cos(θ) = 5.00 * cos(36.9°) = 5.00 * 0.800 = 4.00 units
The y-component of vector A (Ay) is calculated as:
Ay = A * sin(θ) = 5.00 * sin(36.9°) = 5.00 * 0.600 = 3.00 units
Therefore, the components of vector A are 4.00 units east and -3.00 units south.
The result of subtracting (4x2 − x) from -3x2 is .
the result of subtracting[tex]\( (4x^2 - x) \)[/tex] from [tex]\( -3x^2 \) is \( \boxed{-7x^2 + x} \).[/tex]
To subtract [tex]\( (4x^2 - x) \) from \( -3x^2 \)[/tex], we need to distribute the negative sign to each term inside the parentheses and then perform the subtraction.
Given:
[tex]\( -3x^2 - (4x^2 - x) \)[/tex]
Step 1: Distribute the negative sign inside the parentheses:
[tex]\( -3x^2 - 4x^2 + x \)[/tex]
Step 2: Combine like terms:
[tex]\( (-3x^2 - 4x^2) + x \)[/tex]
[tex]\( = -7x^2 + x \)[/tex]
Therefore, the result of subtracting[tex]\( (4x^2 - x) \)[/tex] from [tex]\( -3x^2 \) is \( \boxed{-7x^2 + x} \).[/tex]
Consider this bag of marbles. What is the probability of drawing a green marble versus the ODDs of drawing a green marble? What is the difference in these two things? Make sure you show work, answer all questions, and write in complete sentences.
Answer:
Probability: 50%
odds: 5:5
Step-by-step explanation:
Answer:
The probability is 50% that ball will be green.
Odds 5:5
Numbers of ways to draw a green marbles: number of ways to draw another marbles.
Step-by-step explanation:
Consider the provided bag of marble.
The bag contains 5 green marble, 3 blue marbles and 2 red marbles.
The total number of marbles are: 5+3+2=10
The probability of getting a green marble is: 5/10=0.5
That means the probability is 50% that ball will be green.
Drawing green marbles means we want marble should be green and ODDs of drawing a green marble means the marble is not green.
There are 5 green marbles, so there are 5 outcomes that we want (out of 10 outcomes total)
There are 10-5 = 5 outcomes that we don't want a green marble.
Number of outcomes we want is 5
Number of outcomes we don't want is 5
Odds in favor = (wanted outcomes):(unwanted outcomes)
Odds in favor = 5:5
Numbers of ways to draw a green marbles: number of ways to draw another marbles.
A class of fourth graders takes a diagnostic reading test and the scores are reported by reading level. The 5-number summaries for the 14 boys and 11 girls are shown:
Boys: 2.0, 3.9, 4.3, 4.9, 6.0
Girls: 2.8, 3.8, 4.5, 5.2, 5.9
Which group generally did better on the test?
Answer:
The girls had a higher average in the reading test than the boys.
Step-by-step explanation:
To find the solution, you need to find the mean (average) of the group of boys and group of girls each. The mean of numbers can be found by dividing the sum of all numbers by the amount of numbers there are.
Lets start by finding the mean of the boys group. Find the sum of all numbers:
[tex]2.0 + 3.9 + 4.3 + 4.9 + 6.0 = 21.1[/tex]
Now divide the sum by how many numbers, or in this case, how many boys did the test:
[tex]21.1 \div 5 = 4.22[/tex]
The mean, average, of the tests conducted by the group of boys is 4.22.
Repeat the same for the girls group:
[tex]2.8 + 3.8 + 4.5 + 5.2 + 5.9 = 22.2 \\ 22.2 \div 5 = 4.44[/tex]
The mean, average, of the tests conducted by the group of girls is 4.44.
Compared to 4.22, 4.44 is bigger than 4.22.
Solve the inequality Show your work
-5/2(3x+4)<6-3x
Answer:
The answer to your question is: x > - 32/9
Step-by-step explanation:
-5/2(3x+4)<6-3x
Multiply by 2 -5(3x + 4) < 12 - 6x
Simplify -15x - 20 < 12 - 6x
Add +6x -15x + 6x -20 < 12 - 6x + 6x
Simplify - 9x - 20 < 12
Add + 20 -9x -20 + 20 < 12 + 20
Simplify -9x < 32
Divide by -9 -9/-9 x > 32/-9
Simplify x > - 32/9
Jack has 63 pennies, dimes, and quarters worth $6.30. If the number of dimes is three less than the number of quarters, how many of each coin does he have? Three variable application
Answer:
18 quarters
30 pennies
15 dimes
Step-by-step explanation:
Let number of quarters be q, number of pennies be p, number of dimes be d
The value of pennies is 0.01, the value of quarters is 0.25 and value of dimes is 0.10.
Jack has 63 pennies, dimes, and quarters worth $6.30:
We can write:
p + q + d = 63
0.01p + 0.25q + 0.10d = 6.30
Also, the number of dimes is three less than the number of quarters:
We can write:
d = q - 3
Now we have written 3 equations. Replacing 3rd equation in 1st gives us:
p + q + (q-3) = 63
p + 2q -3 = 63
p + 2q = 66
Solving for p:
p = 66 - 2q
Now we can use this and the 3rd equation and replace p and d with q:
0.01p + 0.25q + 0.10d = 6.30
0.01(66-2q) + 0.25q + 0.10(q-3) = 6.30
Solving for q, gives us:
[tex]0.01(66-2q) + 0.25q + 0.10(q-3) = 6.30\\0.66-0.02q+0.25q+0.10q-0.3=6.30\\0.36+0.33q=6.30\\0.33q=5.94\\q=18[/tex]
There are 18 quarters
Since, p = 66 - 2q, there are:
p = 66 - 2 (18) = 30 pennies
Also,
d = q - 3, so d = 18 - 3 = 15 dimes
Hence, there are:
18 quarters
30 pennies
15 dimes
. A packing crate measures 0.40 m 0.40 m 0.25 m. You must fill the crate with boxes of cookies that each measure 22.0 cm 12.0 cm 5.0 cm. How many boxes of cookies can fit into the crate?
Answer:
The answer to your question is: 30 boxes
Step-by-step explanation:
Data:
A packing crate measures 0.40 m 0.40 m 0.25 m.
boxes of cookies measure 22.0 cm 12.0 cm 5.0 cm
Formula
Volume of a rectangular prism: l x w x h
Volume of the bigger prism = 40 cm x 40 x 25 cm = 40 000 cm3
Volume of the smaller prism = 22 x 12 x 5 = 1320 cm3
Then we divide the volumes = 40000 / 1320 = 30.3 boxes
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The sales representative made a deal with the schools for a discount on the individual juice bottles. The company usually sells the bottles to the distributors for $2.25, but they are selling them to the schools for 15% off. For what price will they sell each bottle to the schools?
-the answer is they will sell them to the schools for $1.91 per bottle.
just explain correctly plz how to get the answer
Answer:
$1.91
Step-by-step explanation:
This means the cost of the item to you is $1.91. You will pay $1.91 for a item with original price of $2.25 when discounted 15%. In this example, if you buy an item at $2.25 with 15% discount, you will pay 2.25 - 0.3375 = 1.91 dollars.
Answer:
1.91
Step-by-step explanation:
1- 2.25
2- 2.25÷100= 0.0225 find 1 percent
3- 0.0225×15=0.3375 find the 15 percent
4- 2.25-0.3375=1.9125 subtract the discount of the original price
5- 1.91 round off to two decimals
The midpoint of segment XY is (6, -3). The coordinates of one endpoint are X(-1, 8). Find the coordinates of endpoint Y.
Answer:
The answer to your question is: Y = (13, -14)
Step-by-step explanation:
Data
midpoint = mp = (6, -3)
one endpoint = X = (-1, 8)
second endpoint = Y = (x, y)
Formula
Xmp = (x1 + x2) / 2
Ymp = (y1 + y2) / 2
Process
x2 = 2xmp - x1
y2 = 2ymp - y1
x2 = 2(6) - (-1) y2 = 2(-3) - 8
x2 = 12 + 1 y2 = -6 - 8
x2 = 13 y2 = - 14
Y = (13, -14)
The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4?
Final answer:
The factorization of x² + 3x - 4 is (x + 4)(x - 1), which can be verified using algebra tiles that represent these factors and the product.
Explanation:
The factors of x² + 3x - 4 can be determined by looking for two numbers that multiply to -4 (the constant term) and add up to +3 (the coefficient of the middle term x). Through factor pairs of -4 (e.g., -1 and 4, or 2 and -2), we notice that (+4) and (-1) are the numbers that meet the criteria because 4 × (-1) = -4 and 4 + (-1) = 3. Therefore, the factorization is (x + 4)(x - 1). To use algebra tiles, you would arrange them into a rectangle where the length and width represent the factors of the quadratic expression, and the product area represents the entire expression.
Calculate the factorization 16w^2+48w+36=(4w+[1])^2
need an answer, please
I am trying to find what the [1] is or x
Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
a²=16w² ⇒ a = 4wb² = 36 ⇒ b = 62ab = 2(4w)(6) = 48wThen the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?
A. 40
B. 72
C. 80
D. 100
E. 120
Answer:
Option E.
Step-by-step explanation:
Let the intended length of Rebecca's swimming is = x units
and we assume the length of the pool = l units
Now it is given in the question that " She covers one fifth of her intended distance "
That means distance covered = [tex]\frac{x}{5}[/tex]
" After swimming six more lengths of the pool she had covered one quarter of her intended distance"
So [tex]\frac{x}{5}+6(l)=\frac{x}{4}[/tex]
[tex]6l=\frac{x}{4}-\frac{x}{5}[/tex]
[tex]6l=\frac{x}{20}[/tex]
x = 20×(6l)
x = 120l
Therefore, Rebecca has to complete 120 lengths of the pool.
Option E is the answer.
4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail
Answer:
The functions are inverses; f(g(x)) = x ⇒ answer D
[tex]h^{-1}(x)=\sqrt{\frac{x+1}{3}}[/tex] ⇒ answer D
Step-by-step explanation:
* Lets explain how to find the inverse of a function
- Let f(x) = y
- Exchange x and y
- Solve to find the new y
- The new y = [tex]f^{-1}(x)[/tex]
* Lets use these steps to solve the problems
∵ [tex]f(x)=\sqrt{x-3}[/tex]
∵ f(x) = y
∴ [tex]y=\sqrt{x-3}[/tex]
- Exchange x and y
∴ [tex]x=\sqrt{y-3}[/tex]
- Square the two sides
∴ x² = y - 3
- Add 3 to both sides
∴ x² + 3 = y
- Change y by [tex]f^{-1}(x)[/tex]
∴ [tex]f^{-1}(x)=x^{2}+3[/tex]
∵ g(x) = x² + 3
∴ [tex]f^{-1}(x)=g(x)[/tex]
∴ The functions are inverses to each other
* Now lets find f(g(x))
- To find f(g(x)) substitute x in f(x) by g(x)
∵ [tex]f(x)=\sqrt{x-3}[/tex]
∵ g(x) = x² + 3
∴ [tex]f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x[/tex]
∴ f(g(x)) = x
∴ The functions are inverses; f(g(x)) = x
* Lets find the inverse of h(x)
∵ h(x) = 3x² - 1 where x ≥ 0
- Let h(x) = y
∴ y = 3x² - 1
- Exchange x and y
∴ x = 3y² - 1
- Add 1 to both sides
∴ x + 1 = 3y²
- Divide both sides by 3
∴ [tex]\frac{x + 1}{3}=y^{2}[/tex]
- Take √ for both sides
∴ ± [tex]\sqrt{\frac{x+1}{3}}=y[/tex]
∵ x ≥ 0
∴ We will chose the positive value of the square root
∴ [tex]\sqrt{\frac{x+1}{3}}=y[/tex]
- replace y by [tex]h^{-1}(x)[/tex]
∴ [tex]h^{-1}(x)=\sqrt{\frac{x+1}{3}}[/tex]
Fill in the table so it represents a linear function.
Answer:
-1, 2, 5, 8, 11
Step-by-step explanation:
There is an easy and fast way to solve this. A linear function means that the steps on y and x are constant.
On the x axis you are walking 5 steps each column, so you start from 5, plus 5 steps is 10, plus 5 steps is 15, plus 5 steps is 20, plus 5 steps is 25.
Now you have to do the same for the y axis, but you have to use your brain.
You start from -1, and you have to reach 11, using the same number of steps for each column, just like before the necessarily with the same number.
You start from -1, plus 3 steps is 2, plus 3 steps is 5, plus 3 steps is 8, plus 3 steps is 11. Done.
You can use maths also, but it will take time.
You need to find that function. A linear function can be written as:
[tex]y = mx + q[/tex]
You have two points of the line, (5, -1) and (25, 11), but you need to find the y coordinate of other three points.
Let's find the line by substituting those points in the general function of the line:
[tex] - 1 = 5m + q \\ 11 = 25m + q[/tex]
This is a system of two equations with two variables, m and q. You can solve it. From the first equation you have that:
[tex]q = - 1 - 5m[/tex]
Put this in the second equation to know the value of m:
[tex]11 = 25m + ( - 1 - 5m)[/tex]
[tex]11 = 25m - 1 - 5m \\ 20m = 12 \\ m = \frac{12}{20} = \frac{3}{5} [/tex]
Now you can use this in the first equation to know the value of q:
[tex]q = - 1 - 5( \frac{3}{5} ) \\ q = - 1 - 3 \\ q = - 4[/tex]
So your line is:
[tex]y = \frac{3}{5} x - 4[/tex]
If you want to know the y coordinates that you are missing, you just need to put the corresponding x coordinate in this function and you will find the same results as before.
To fill in a table for a linear function, you need to understand the relationship between x and y in a linear function (y = mx + b), calculate y values for given x values using this relationship, and arrange these pairs in the table.
Explanation:To fill in a table that represents a linear function, we need to understand that in a linear function, the change in the output (y) is constant for every unit change in the input (x). The relationship between x and y can be written as y = mx + b, where m is the slope and b is the y-intercept.
Here's a simple example. For a linear function y = 2x + 1, if your x values are 1, 2, and 3, the y values would be y(1) = 2*1+1 = 3, y(2) = 2*2+1 = 5, y(3) = 2*3+1 = 7. So the table would look like:
1, 32, 53, 7Learn more about linear function here:https://brainly.com/question/31353350
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What is a point on a line and all points of the line to one side of it called?
Answer:
ray
Step-by-step explanation:
A ray is a line that extends in one direction from its end point.
Tatsu drew a scale drawing of a campground. The scale he used was 1 inch : 5 yards. In the drawing, the picnic area is 19 inches long. What is the length of the actual picnic area?
Answer:
The answer to your question is: 95 yards
Step-by-step explanation:
Data
1 inch ---------------- 5 yards
19 inches ------ ? yards
We can solve this problem with a rule of three
1 inch ------------------ 5 yards
19 inches -------------- x
x = (19)(5) / 1 = 95 yards
Answer:
it was wrong!!
Step-by-step explanation:
Jason’s salary and Karen’s salary were each p percent greater in 1998 than in 1995. What is the value of p ? (1) In 1995 Karen’s salary was $2,000 greater than Jason’s. (2) In 1998 Karen’s salary was $2,440 greater than Jason’s.
Answer: Hi, first lets give our variables some names.
Lets call Ks to Karen's salary and Js to Jason's salary.
then, in 1995:
Ks₁ - Js₁ = 2000$
in 1998:
Ks₂ - Js₂ = 2440$
now, we know that Ks₂ = (1 +p)*Ks₁ and Js₂ = (1+p)*Js₁
so we can write the second equation as:
p*(Ks₁ - Js₁ ) = 2440$
replacing the parentesis with the first equiation
(1+p)*(2000$) = 2440$
(1+p)= 2440/2000 = 1.22
so p = 0.22, or a 22%
Complete the equation. Round to the nearest hundredth where necessary.
(Recall: 1 mi ≈ 1.61 km)
a.
6.21
b.
9.43
c.
10.60
d.
16.10
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
There are 1.61 km in 1 mi.
10 mi × (1.61 km/mi) = 16.1 km
Help PLease. A vector is defined as having magnitude of 15 m and a direction of East. Multiply this vector by the scalar value of –6. What is the resultant vector’s magnitude and direction?
What are the components of a vector C→ if its magnitude is 8.9 m/s and it makes an angle of –40° with the +x-axis?
Answer:
90 m West(6.82, -5.72) m/sStep-by-step explanation:
1. The magnitude of the multiplier is 6, so the magnitude of the new vector is 6×(15 m) = 90 m. The sign on the multiplier is negative, so the new vector will be in the opposite direction of East. It will be 90 m West.
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2. The components can be found from ...
(8.9 m/s)(cos(-40°), sin(-40°)) ≈ (6.82, -5.72) m/s
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One or both of the components will usually be irrational if the angle is a rational number of degrees not a multiple of 90°. Here, we have rounded to 2 decimal places.