Find the slope of the line passing through (6, -1) and (7,3). Let (x1, y1) = (6, -1) and (x2.72) = (7,3). Listthe coordinates, fill in the slope formula, and then simplify.X1 =X2Y1 =Y2 =slope
Answers
The slope formula is
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where,
\(x_1=6,y_1=-1,x_2=7,y_2=3_{}\)Replacing these values, we have
\(m=\frac{3-(-1)}{7-6}=\frac{3+1}{1}=4\)Therefore, the slope is 4.Related Questions
One year, the population of a city was 181,000. Several years later it was 150,230. Find the percent decrease.
Answers
The percentage decrease in population is 17%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply it by 100. percentage . The word per cent means per 100. It is represented by the symbol “%”.
percentage decrease in population= (0riginal population- new population)÷ original population × 100
%decrease in population = (181000 - 150230) ÷ 181000× 100
=( 307770×100)/181000
= 17%
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17%
Step-by-step explanation:
i tried it it worked
What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14
Answers
The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.
What is the inverse of maths tools?Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.
For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.
Therefore, a) The inverse of “Add 25” would be “Subtract 25.”What is the b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”
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PLEASE HELP WILL GIVE BRAINLIEST. Which of the following describes the function –x4 + 1?
Answers
Answer:
The correct answer is-
b. The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.
Step-by-step explanation:
I took the test and got it right.
Miguel bought a scarf. He paid $9.92 and received $0.01 in change. How much did the scarf cost?
Answers
Answer:
The scarf cost:
$9.91
Step-by-step explanation:
9.92 - 0.01 = 9.91
(04.05)Marisa painted 1 of her bedroom in 3 of an hour. At this rate, how long would it take her to paint the entire room?
12 2
4
O
of an hour
of an hour
o
6
of an hour
of an hour
4
Answers
The Question above is incomplete.
Complete Question
Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour
Answer:
six-fourths of an hour
Step-by-step explanation:
Let her entire room be equal to 1
From the above question
1/2 of her bedroom = 3/4 of an hour
1(Entire bedroom) = x hour
Cross Multiply
1/2 × x = 3/4 × 1
x = 3/4 / 1/2
x = 3/4 ÷ 1/2
x = 3/4 × 2/1
x = 6/4 hour
Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.
Find the measure of arc BC given m<1 = 70°. Type a numerical answer in the space provided. Do not include any symbols, labels or
spaces in your answer.
Answers
Answer:
70°
Step-by-step explanation:
Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.
3.1.3 How far was the hiker at 10:30?
8km
ACTIVITIES
1. Siyabonga runs a car wash business. The monthly expenses for his business include:
R1 400,00 in salaries.
R5,20 per washed car, for water, soap and electricity.
Siyabonga charges R25,00 per car for a wash and vacuum.
1.1.White down a formula to represent the total monthly cost that Siyabonga incurs in running his car
wash business as dependent on the number of cars washed.
(2)
1.2.Write down a formula to represent the total monthly income that Siyabonga generates as dependent
on the number of cars washed.
(2)
1.3. Use trial and improvement to determine how many cars Siyabonga must wash per month in order to
break even and cover all business expenses.(2)
1.4.How much must Siyabonga earn in income per month in order to break even? (2)
1.5.The graphs below resent the total monthly cost and total income for Siyabonga's car wash business.
2.500
2,400
2,300
2 200
2,100
2,000
Answers
Answer:
\(y = 1400 + 5.2x\) --- Running cost
\(y = 25 x\) --- Monthly income
71 cars
R1775
Step-by-step explanation:
Given
Expenses
\(Salaries = 1400.00\)
\(Others = 5.20\) per car
Income
\(Rate = 25.00\) per car
Solving (a): Expression for the running cost
This is calculated as:
\(y = Salary + Others * x\)
Where
y = Total running cost
x = number of cars
So:
\(y = 1400 + 5.20 * x\)
\(y = 1400 + 5.2x\)
Solving (b): Expression for monthly income
This is calculated as:
\(y = Rate * x\)
Where
y = Total income
x = number of cars
So:
\(y = 25.00 * x\)
\(y = 25 x\)
Solving (c): Break even
To do this, we equate the expressions in (a) and (b)
\(y = y\)
\(25x = 1400 + 5.2x\)
Collect Like Terms
\(25x -5.2x= 1400\)
\(19.8x= 1400\)
Solve for x
\(x = \frac{1400}{19.8}\)
\(x = 71\)
Solving (d): How much to break even
Substitute 71 for x in any of (a) or (b)
\(y = 25 x\)
\(y = 25 * 71\)
\(y = 1775\)
Solving (e): There is no question to answer on the "graph"
Name 2 lines inthe diagram
Answers
Please help due in 5 min!!!
Answers
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
The distance horizontally is 15 units because 7-(-8) = 15
The distance vertically is 8 units because 8-0 = 0
Pythagorean theorem
a2 + b2 = c2
(225) + (64) = (289)
Square root 289 = 17 is the distance
simplify 4 x 18/6 x 5/5
Answers
Answer:
12
Step-by-step explanation:
4.18/6 * 5 over 5
72/6 *5 over 5
72/6 * 5 divided by 5
12.5 divided by 5
12 times 5 over 5
60/5
60 divided by 5
46°
Х
X=_
degrees
PKEASE HELP
Answers
Answer:
x = 136°
Step-by-step explanation:
the third angle of the triangle is 180 - (90+46), which is 44. Because a straight line is 180°, x is 180 - 44. x = 136°
Answer:
look according to the exterior angle of triangle
Step-by-step explanation:
exterior angle = sum of other two angle (except adjacent angle of that exterior angle)
so x=90°+46°=136°
Michael's Art Supply store sells a fabric that costs $4 per foot. You purchase 5 yards of the fabric. What is the total cost, in
dollars, of the fabric you purchase?
A. $5
B. $10
C. $15
D. $60
Answers
Answer:
D.) $60
Step-by-step explanation:
1 yard= 3 feet
1 yard= 12$
12(5)= 60
5 yards= $60
A rental car company charges an upfront fee to rent a car, and then charges $0.40 per mile driven. Suppose you rent a car from this company. Let (n) represent the varying number of miles that you drive in the car, and let (c) represent the total cost (in dollars) you will have to pay for the rental car.
a. The number of miles driven, n, and the total cost of renting the car, c, are related by a constant rate of change.
What is this constant rate of change?
Answers
Answer:
0.40
Step-by-step explanation:
the constant rate of change is given to you in the problem.
The number of miles driven (n) and the total cost of renting the car (c) are related by a constant (k) as follows -
c - \(\frac{2}{5} n\) = k
We have a rental car company charges an upfront fee to rent a car, and then charges $0.40 per mile driven.
We have to determine the constant rate of change through which number of miles driven (n) and the total cost of renting the car (c) are related.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to the question, we have -
Charge per mile driven = $0.40
n - represents the varying number of miles that you drive in the car.
c - represent the total cost (in dollars) you will have to pay for the rental car.
Assume that the upfront fee to rent a car is - $k
Total charge for driving 'n' miles after paying the upfront fee - $0.40n
The total cost for driving 'n' miles in a rental car -
c = k + 0.40n
c - \(\frac{2}{5} n\) = k
Where k is a constant and is equal to upfront fee.
Hence, number of miles driven (n) and the total cost of renting the car (c) are related by a constant (k) as follows -
c - \(\frac{2}{5} n\) = k
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if one cup fills the jug to the second interval, how many cups do you need to fill the jug to 4?
Answers
2 cups you need to fill the jug to 4.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
It depends on the size and markings of the jug.
If we assume that the jug is divided into equal intervals and each interval represents an equal volume,
then we can say that filling the jug to the second interval means that the jug is 1/2 full.
To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.
So, the answer is 2 cups.
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Help pls I really need help
Answers
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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what is f(x)=8x+61
if f(x)=-139, find x
Answers
Answer:x=-25
Step-by-step explanation:
Carmelita used the multiplication table below to write ratios that are equivalent to StartFraction 3 Over 7 EndFraction. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted. One number is missing from the equivalent ratio, as shown. StartFraction 21 Over Blank EndFraction What is the missing number? 7 9 24 49
Answers
Answer:
The answer is 49.! :)
Step-by-step explanation:
If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)
Answer:
49
Step-by-step explanation:
6 is 5% of what number?
100
Answers
Answer: 120
Step-by-step explanation:
We can put it in an equation like this:
6 = 5%x
Then, we solve:
6 = 1/20 x
x = 20/1 *6
x=120
Therefore, 5% of 120 is 6.
Answer:
120
Step-by-step explanation:
5/100=6/x
Cross multiply
5x=100(6)
5x=600
/5. /5
x=120
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geometric series $b 1 b 2 b 3 \cdots b {10}$ has a sum of $180$. assuming that the common ratio of that series is $\dfrac{7}{4}$, find the sum of the series $b 2 b 4 b 6 b 8 b {10}.$
Answers
The sum of the series b 2 b 4 b 6 b 8 b {10} is \($\dfrac{180}{3}$\) since it is a geometric series with a common ratio of \($\dfrac{7}{4}$\).
Since the given series \($b 1 b 2 b 3 \cdots b {10}$\) has a sum of 180, it can be deduced that the series is a geometric series with a common ratio of\($\dfrac{7}{4}$\). This means that the ratio of any two consecutive terms in the series is a constant, \($\dfrac{7}{4}$\). Therefore, the sum of the series b 2 b 4 b 6 b 8 b {10} can be calculated as follows:
\($S = b2 + b4 + b6 + b8 + b_{10}$\)
\($= b2\left(\dfrac{7}{4}\right)^0 + b2\left(\dfrac{7}{4}\right)^2 + b2\left(\dfrac{7}{4}\right)^4 + b2\left(\dfrac{7}{4}\right)^6 + b2\left(\dfrac{7}{4}\right)^8$\)
\($= b2 \left[1 + \left(\dfrac{7}{4}\right)^2 + \left(\dfrac{7}{4}\right)^4 + \left(\dfrac{7}{4}\right)^6 + \left(\dfrac{7}{4}\right)^8\right]$\)
\($= b2 \left[\dfrac{1-\left(\dfrac{7}{4}\right)^{10}}{1-\left(\dfrac{7}{4}\right)^2}\right]$\)
\($= b2 \left[\dfrac{1-\left(\dfrac{7}{4}\right)^{10}}{\dfrac{3}{4}}\right]$\)
\($= \dfrac{4b2}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)
Since the sum of the series\($b 1 b 2 b 3 \cdots b {10}$\) is 180, we can substitute $b2$ with \($\dfrac{180}{3}$\)nd calculate the sum of the series $b 2 b 4 b 6 b 8 b {10}$:
\($S = \dfrac{4\left(\dfrac{180}{3}\right)}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)
\($= \dfrac{180}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)
Therefore, the sum of the series \($b 2 b 4 b 6 b 8 b {10}$ is $\dfrac{180}{3}$\).
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Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right. (4 points) Group of answer choices x2 − 4x − 12 [ Choose ] x2 + 4x − 12 [ Choose ] x2 − x − 12 [ Choose ] x2 − 7x − 12 [ Choose ] i will give 40 points
Answers
Answer:
Your input: factor x2+4x+3.
To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.
Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).
Solve the quadratic equation x2+4x+3=0.
The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).
Therefore, x2+4x+3=1(x+1)(x+3).
(x2+4x+3)=1(x+1)(x+3)
Step-by-step explanation:
Please use cofunction or even odd identities to solve this problem!
50 points !
Answers
Answer:
cot(θ) = -1.45
Step-by-step explanation:
The identity applicable to this problem is ...
tan(π/2 -θ) = cot(θ)
__
Substituting for tan(π/2 -θ), you have the desired cotangent value:
cot(θ) = -1.45
Sam has a water bottle that holds 250 milliliters of water when full. He needs to fill a 5-liter water jug for his team. If Sam uses the water bottle to fill the jug, how many times does he need to fill the water bottle in order to fill the jug?
Answers
Answer: he needs to fill it 20 times
Step-by-step explanation:
A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form
Answers
Using log evaluate 3^x=10
Answers
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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5/100 in simplest form
Answers
Answer:1/20
Step-by-step explanation:
trust
Answer:
1/20
Step-by-step explanation:
5 divided by 100 is =20
5divided by 5 is =1
=1/20
If I am traveling at 75mph, what is my speed inkmh?
Answers
According to the given data we have the following:
A person is travelling at 75 mph
In order to calculate the speed in kmh we would have to make the following calculation:
So, if we know that 1 mph is 1.609344 kmh, then the speed of 75 mph at kmh would be:
speed in kmh=75 mph*1.609344 kmh
speed in kmh=120.7008 kph.
Therefore, If I am traveling at 75mph the speed in kmh would be of 120.7008 kph.
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
whats is the value of X
need help asap
Answers
Answer:
8
Step-by-step explanation:
Answer:
x= 98
First, you have to find what the third angle is so;
180-53-45=82
The third angle in 82.
A straight line is 180º. So you need to subtract 180-82 to get 98.
Step-by-step explanation:
Convert the following percent to a simplified fraction: 6%
Answers
Given:
6%
To convert the given percent into simplified fraction, we first divide it by 100 as shown below:
\(\begin{gathered} 6\%=\frac{6}{100} \\ Simplify \\ =\frac{3}{50} \end{gathered}\)Therefore, the answer is:
\(\frac{3}{50}\)