4x + 5: m = 4
8x - 3: m = 8
1/2x - 4 = x/2 = -4
0.5x + 3.5: m = 0.5
If the equation of a line in standard form is 3x + 2y = 18, then the x-intercept is 6 and the y-intercept is 9.
True
False
Answer:
true
Step-by-step explanation:
a line through (2, 1) meets the curve x²-2x-y=3 at A(-2,5) and at B. FIND THE COORDINATES OF B
Answer:
(3,0)
Step-by-step explanation:
We know the line will Pss through
(-2,5) and (2,1) so
let find the slope
[tex] \frac{1 - 5}{2 - ( - 2)} = \frac{ - 4}{4} = - 1[/tex]
So the slope is -1.
We know it passes through 2,1 so use point slope to find b.
[tex]y - 1 = - 1(x - 2)[/tex]
[tex]y - 1 = - x + 2[/tex]
[tex]y = - x + 3[/tex]
Set that equal to
[tex] {x}^{2} - 2x - y = 3[/tex]
[tex] {x}^{2} - 2x - 3 = y[/tex]
[tex] {x}^{2} - 2x - 3 = - x + 3[/tex]
[tex] {x}^{2} - x - 6 = 0[/tex]
[tex](x - 3)(x + 2) = 0[/tex]
[tex]x = 3[/tex]
Point (3,0).
A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle has a radius of 15 feet. A larger circle goes around the smaller circle that is 3 feet wide. What is the circumference of the outer edge of the path around the pool? Use 3. 14 for Pi. 56. 52 ft 94. 20 ft 113. 04 ft 114. 04 ft.
The circumference of the outer edge of the path around the pool is 113.04 ft.
What is the circumference?The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.
Given
A circular swimming pool has a radius of 15 ft.
There is a path all the way around that pool that is three feet wide.
A circle has a radius of 15 feet.
A larger circle goes around the smaller circle that is 3 feet wide.
The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.
The radius of the outer edge of the path around the pool = 15 + 3
The radius of the outer edge of the path around the pool = 18ft
The circumference of the outer edge of the path around the pool is;
[tex]\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft[/tex]
Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.
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between which two integers does -√52 lie
A. -3 and -4
B. -5 and -6
C. -6 and -7
D. -7 and -8
Answer:
D. -7 and -8
Step-by-step explanation:
Mark used a graph to compare the wages from two restaurant jobs. A dishwasher earns 7.25$ per hour, while a waiter earns 3.75$ per hour in addition to 25$ per day.
To the nearest hour, when will the two jobs earn the same amount?
Explain why your estimate is reasonable.
Your missing the graph
Answer/Step-by-step explanation:
To the nearest hour, when will the two jobs earn the same amount?
Answer = 7
Explain why your estimate is reasonable.
Explanation:
Waiter: y = 25 + 3.75x { x which is the time mark work}
Dishwasher: y = 7.25x
⇒ 25 + 3.75x = 7.25x [Same amount]
25 = 3.5x
x = 7.14285714286
Round:
x = 7
~Lenvy~
What is the value of b in the equation 2x-y=6
Answer:
are you sure its b? b doesnt seem to be present in 2x-y=6
This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 6 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into n sub-intervals. Enter the probability p of one arrival during a single sub-interval.
For n = 30, we have p =
For n = 60, we have p =
For n = 100, we have p =
Continued from previous.
Answer:
I need help with mathematics please
How many times greater is 5.6 x 10 than 1.4 x 10??
Answer:
4 times greater
Step-by-step explanation:
pls ans this.....i will mark brainliest.
Answer:
[tex]y=\dfrac{10}{3}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac25\right)^{-3} \cdot\left(\dfrac52\right)^{-15} =\left(\dfrac25\right)^{2+3y}[/tex]
[tex]\textsf{Using exponent rule:}\left(\dfrac{a}{b}\right)^{-c} =\left(\dfrac{b}{a}\right)^{c}[/tex]
[tex]\implies \left(\dfrac25\right)^{-3} \cdot\left(\dfrac25\right)^{15} =\left(\dfrac25\right)^{2+3y}[/tex]
[tex]\textsf{Using exponent rule: } a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies \left(\dfrac25\right)^{-3} \cdot\left(\dfrac25\right)^{15} =\left(\dfrac25}\right)^2 \cdot \left(\dfrac25\right)^{3y}[/tex]
[tex]\implies \left(\dfrac25\right)^{12} =\left(\dfrac25}\right)^2 \cdot \left(\dfrac25\right)^{3y}[/tex]
[tex]\implies \left(\dfrac25\right)^{12} \div\left(\dfrac25}\right)^2 =\left(\dfrac25\right)^{3y}[/tex]
[tex]\textsf{Using exponent rule: } \dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\implies \left(\dfrac25\right)^{10} =\left(\dfrac25\right)^{3y}[/tex]
[tex]\textsf{Using exponent rule: } a^b=a^c \implies b=c[/tex]
[tex]\implies 10=3y[/tex]
[tex]\implies y=\dfrac{10}{3}[/tex]
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 66 kmh slower than the other. If the two planes are 9804 kilometers apart after 6 hours, what is the rate of each plane
A cube shaped package has a volume of 5,832 cubic inches. What is the edge length of the package?
Answer:
8.7388
Step-by-step explanation:
square root of 5832=76.37
square root of 76.37= 8.73
8.7388 x 8.7388 x 8.7388 x 8.7388
10g–7g–3=18
please answer windowssssssssssss i will give you branilisest only
Answer:
g=7
Step-by-step explanation:
10g–7g–3=18
subtract 7g from 10 g
3g-3=18
add 3 to both sides
3g=21
divide each side by 3
g=7
Answer:
g=7
Step-by-step explanation:
We move all terms to the left:
10g-7g-3-(18)=0
We add all the numbers together and all the variables
3g-21=0
We move all the terms containing "g" to the left and all the other terms to the right
3g=21
g=27/3
which is the same as
g=3
a sports tournament has 8 teams. each team has n players. using n, write an expression for the total numbers of players in the tournament
Answer:
8n.
Step-by-step explanation:
You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.
PLEASE HELP!!
solve for z
12 = 15 ( z - 1/5)
Answer:
Z=1
Step-by-step explanation:
please mark me as brainlest
Answer:
z = 1
Step-by-step explanation:
Given :-
12 = 15(z - 1/5)
To Find :
z
Solving :-
12 = 15(z - 1/5)
12 = 15z - 3
15z = 15
Solution :-
z = 1
Complete the slope-intercept form of this line.
y = –4x +
Answer:
the slope intercept form of this line is y = -4x + 9.
Step-by-step explanation:
The equation of line is given by:
y = mx + b .....[1]
where,
m is the slope of line
b is the y-intercept.
As per the statement:
Given: The rate of change = -4
Substitute in [1] we have;
y = -4x + b
Substitute the values of any (x, y) from the given table.
Let x = -1 and y = 13
then;
13 = -4(1-)+b
⇒13 = 4+b
Subtract 4 from both sides we have;
9 = b
or
b = 9
⇒the equation become, y = -4x+9
Therefore, the slope-intercept form of this line is, y = -4x+9
Tali picks a shape. What is the chance she picks a gray shape?
Answer:
3/8
Step-by-step explanation:
hope this helps
pls mark as brainliest
a home improvement store in ohio had some great deals on garden supplies, if 81 customers visited the store in the morning and 5/9 of them picked up garden tools, how many customers bought garden tools
Answer:
45
Step-by-step explanation:
5/9 of 81 is ((81/9)*5), which is (9*5), which is 45. So 45 picked up the garden tools.
A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Determine the mean and standard deviation of this data.
Answer:
i dont understand either
Step-by-step explanation:
A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Then, mean of the data is equal to 97 and standard deviation is equal to 13.358.
What is normal distribution?Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given that 50% of the data lies below 97, implies that median of the data is equal to 97. In a normal distribution, mean = median = mode, therefore, mean = 97.
Given the mean and value at 70th percentile, we can find the standard deviation.
Using the z score - percentile table, we find that the z score corresponding to the given percentile.
z score corresponding to 70th percentile = 0.524
[tex]0.524 = \frac{x - mean}{standard\ deviation}\\ \\0.524 = \frac{104 - 97}{standard\ deviation} \\\\standard\ deviation = \frac{7}{0.524} = 13.359[/tex]
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Five Times the difference of a number and 3 is 17
The number is 6.4.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Five Times the difference of a number and 3 is 17.
let the number be x
So,
5(x-3) = 17
5x - 15 = 17
5x = 32
x= 32/5
x= 6.4
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give it to me an example for Primary and secondary Data Collection
Answer:
Primary data when the researcher collect the information like census by government . And secondary data means when like an entrepreneur take the census data from the government and collect more information .
please help me with this question.
Raj correctly determined that ray LH is the bisector of AngleGLI. A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I. Which information could he have used to determine this?
Answer:
Hello your question is incomplete below is the complete question
Raj correctly determined that ray LH is the bisector of AngleGLI. A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I. Which information could he have used to determine this? AngleGLH Is-congruent-to AngleILM mAngleKLM = 5mAngleILM , mAngleGLI = 2mAngleGLH, mAngleGLI = mAngleGLH + mAngleHLI
answer : mAngleGLI = 2mAngleGLH
Step-by-step explanation:
The information that could have used to determine this information is
mAngleGLI = 2mAngleGLH
from the figure, we can see that
mAngleGLI = mangleGLH + mangleHLI
Hence we can conclude mangleGLH = mangleHLI
therefore the ray LH bisects angleGLI into two equal angles GLH & HLI.
Answer: mGLI = 2mGLH
Step-by-step explanation: took the test on edge
Find the coordinate of W' after a 270 counterclockwise rotation of the triangle about the origin and then a translation of 2 units down and 1 unit to the right.
Answer: d: -2,2
Step-by-step explanation:
The coordinates of W' after the rotation and the translation is (-2, 2).
Option D is the correct answer.
We have,
The rule for a rotation by 270° about the origin.
(x, y) → (y, −x)
Now,
W = (-4, -3)
Applying the rule.
W = (-3, 4)
Now,
A translation of 2 units down and 1 unit to the right.
So,
W = (-3, 4)
W = (-3 + 1, 4 - 2)
W = (-2, 2)
Thus,
The coordinates of W' after the rotation and the translation is (-2, 2).
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Suppose a certain cell reproduces itself in four hours. If a lab researcher begins with 50 cells, how many cells will there be after one day, two days, and three days? (Hint: Use the exponential function y = 50(2x). )
By working with the exponential function, we will see that:
After 1 day there are 3,200 cells.After 2 days there are 204,800 cells.After 3 days there are 13,107,200 cells.How to find the population of the cell?We know that the population of the cell doubles every four hours, then we can write:
y = 50*(2)^x
Where x is time in lapses of 4 hours, and 50 is the initial population of the cell.
In one day, there are 6 groups of 4 hours, then after one day we have:
y = 50*(2)^6 = 3,200 cells.In two days, there are 12 groups of 4 hours, then after two days we have:
y = 50*(2)^12 = 204,800 cells.In 3 days, there are 18 groups of 4 hours, then after 3 days there are:
y = 50*(2)^18 = 13,107,200 cells.If you want to learn more about exponential functions, you can read:
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what is the correct reason for statement #2?
Answer:
I think combining like terms
Step-by-step explanation:
Select the tables that show a proportional relationship between x and y.
Table 2 depicts the proportional relationship between x and y as 2/5 = 4/10 = 6/15.
What is meant by proportional relationship?A proportional relationship exists when each pair of data values is related in the same way, by multiplying by a factor. A proportional relationship can be identified by looking at data, an equation, or a graph. Calculating the ratio of each pair of values can tell you if a table has a proportional relationship. If all of those ratios are the same, the table indicates a proportional relationship. Now consider an example of a proportional relationship in our daily lives: When we fill up our car with gas, there is a connection between the number of gallons of fuel we put in the tank and the amount of money we will have to pay.Therefore,
1x / y
Simplifying the equation, then we get,
1/4 = 2 /8 = 3 / 12 = 6 / 24
= 2 / 8
y l x
Put the value of x and y in above equation,
4/1 = 8 /2 = 12/3
8/2
2, x/ y
5/2 = 10 /4
= 15 /6
30 /12
5 / 2
y l x
2/5 = 4 /10 = 6 /15
Hence, Table 2 depicts the proportional relationship between x and y as 2/5 = 4/10 = 6/15.
To learn more about proportional relationship, refer to:
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#8: Which of the following is a whole
number, but not a natural number?
A) -10
B) 0
C) 3/4
D) 2.5
Answer:
-10
Step-by-step explanation:
Hope that helps!!
The Bandits baseball team played 75 games and won 55 of them. What percent of the games did they lose? (Round your answer to the nearest hundreth - 2 decimal places.)
Answer:
26.6%
Step-by-step explanation:
total = 75 games
number of games won = 55
number of games lost = 75 - 55 = 20
75 — 100%
20 — x%
x = 20/75 * 100 = 26.6%
Answer:73.33%
Step-by-step explanation: If you do 55/75 you will get 0.73 repeating and you would move the decimal place 2 places to the right.
The triangle below has a perimeter of 51. Solve for x.
Answer:
x = 6
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle. Sum the 3 sides and equate to 51, that is
15 + 5x - 6 + 2x = 51
7x + 9 = 51 ( subtract 9 from both sides )
7x = 42 ( divide both sides by 7 )
x = 6
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer: a=36pi
Step-by-step explanation:
We know that the formula for the area of a circle is a=(pi)(r)^2
Knowing that the diameter is 12 we can find the radius is 6 as the radius is half of the diameter. Now we can plug that into the equation. a=pi*6^2
Simplify
a=36pi