The equation of the line that runs between the points (2, 15) and (-4, -21) is y = 6x + 3.
We are given the coordinates for two points.The points are (2, 15) and (-4, -21).The line passes through both of these points.We have to find the equation of the line.We will use the two-point form of a line.(y - y1) = [(y2 - y1)/(x2 - x1)](x - x1)(y - 15) = [(-21 - 15)/(-4 - 2)](x - 2)(y - 15) = [(-36)/(-6)](x - 2)(y - 15) = 6(x - 2)y - 15 = 6x - 12y = 6x + 3Thus, the equation of the straight line that passes through the two given points is y = 6x + 3.To learn more about lines, visit :
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Which expressions could represent what the following number line represents?
Select ALL that apply.
A 4+7+10-5
B 4+2-3-5
C -5+2.3+10
D 4+3+3-5
Answer:
D
Step-by-step explanation:
only D.
we are starting at 4 and add 3 to get to 7. then we add another 3 to get to 10.
and then we subtract from there 5 to get back down to 5.
none of the other answers get even the same final result (5).
Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week.
Let b represent the number of hours Carson works in one week at the babysitting job, and let c represent the number of hours Carson works in one week at his father's business. Write the inequalities represent the constraints on what Carson can earn and the number of hours he can work in one week?
Answer:
[tex]6b + 8c \geqslant 96[/tex]
[tex]b + c \leqslant 15[/tex]
Calculate the theoretical yield (in grams) of potassium trioxalatoferrate (iii) trihydrate, k3[fe(c2o4)3]â‹…3h2o. trihydrate, k 3 [ fe ( c 2 o 4 ) 3 ] â‹… 3 h 2 o .
k3[fe(c2o4)3]â‹…3h2o. trihydrate, k 3 [ fe ( c 2 o 4 ) 3 ] â‹… 3 h 2 o . ?
A model car is constructed with a scale of 1:15. If the actual car is 12 feet long, which proportion represents the length x of the model car?
The length of the model car based on the information is 0.8 feet.
What is scale?It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.
From the information, the model car is constructed with a scale of 1:15.
When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:
= 1/15 = x / 12
Cross multiply
15x = 1 × 12
15x = 12
Divide
x = 12 / 15
x = 0.8
The length is 0.8 feet.
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16.-Write an algebraic model for the statement. the difference of a number and -8 is 7
Let x be the number that we are interested in, then the statement written in algebraic form is:
[tex]x-(-8)=7.[/tex]Simplifying the above equation we get:
[tex]x+8=7.[/tex]Subtracting 8 from the above equation we get:
[tex]\begin{gathered} x+8-8=7-8, \\ x=-1. \end{gathered}[/tex]Therefore, the number we are looking for is -1.
Answer:
[tex]x-(-8)=7.[/tex]And x=-1.
PLS HELP!!!!!!!!!!!!!!!!!!
Answer: a.) Circle B
b.) 9.42
Step-by-step explanation:
A diameter of 9 cm means that the circumference of Circle A is approximately 28.26 cm.
Circumference = Diameter x π
9 x 3.14 = 28.26
A radius of 6 cm means the circumference of Circle B is approximately 37.68 cm.
Circumference = 2 x Radius x π
2 x 6 x 3.14 = 37.68
37.68 > 28.26
37.68 - 28.26
For these types of problems, I recommend numbermaniacs.com .
Have a nice day!
A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot.Which is the best representation of the center of this data set?A. 8B. 5C. 7D. 6
Center of a data set is a single number that sumarizes the entire data, the median is the best measure of center to use in this distribution.
Median is the midpoint value of a data set, where the values are arranged in ascending or descending order:
As a first step let's organize the data in ascending order:
3, 4, 5, 6, 7, 8, 9, 10, 11
The median is 7.
Suppose that a restaurant chain claims that its bottles of ketchup contain 24
ounces of ketchup on average, with a standard deviation of 0.2 ounces. If you
took a sample of 49 bottles of ketchup, what would be the approximate 95%
confidence interval for the mean number of ounces of ketchup per bottle in
the sample?
A. 24 ± 0.229
B. 24±0.114
C. 24 +0.029
D. 24 ± 0.057
The approximate 95% confidence interval for the sample's mean number of ounces of ketchup per bottle is 24 ± 0.029
Explain about the confidence interval mean?Based on the margin of error, the confidence interval is created. The size of the confidence interval for a specific confidence level is determined by three variables. These are population size, sample size, and percentage.
The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
Therefore,
The sample's average bottle contains 24 ounces of ketchup, with a 96% confidence interval of 0.029.
Detailed explanation:
Given
The average is 24 ounces.
0.2 ounces is the standard deviation.
Sample Size, n = 49 ketchup bottles
95% confidence interval (0.95)
The actions that must be taken in order to compute the confidence at this level are as follows:
1. Determining the degree of freedom
You may compute the degree of freedom (d f) by taking 1 out of the sample size.
d f = n - 1
d f = 49 - 1
d f = 48
2. Divide by two after subtracting the confidence level from 1.
α = (1 – .95) / 2 = 0.025
3. Consult the t-distribution table to get the solutions to (1) and (2).
When = 0.025 and there are 48 degrees of freedom (df),
We get 2.0106
4. Separate
=0.2/√49
=0.2/7
=0.028
=0.029
5. The following example is used to compute the 95% confidence interval.
As a result of step 5, X.
in which x = 24
Thus, we have
24 ± 0.029
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The figure below is a rhombus.
2
y
63°
X
z = [?]°
The most appropriate choice for rhombus will be given by-
Value of z is [tex]27^{\circ}[/tex]
What is a rhombus?
Rhombus is a parallelogram in which all the four sides are of same length and the angles are not [tex]90^{\circ}[/tex]
The properties of rhombus are
All the sides of a rhombus are equal
Diagonals of a rhombus bisect each other at [tex]90^{\circ}[/tex]
Here,
From the given figure,
x = [tex]90^{\circ}[/tex] [Diagonals of rhombus intersect each other at [tex]90^{\circ}[/tex]]
z + 63 = x [Exterior angle of a triangle is equal to the sum of two opposite interior angles]
z + 63 = 90'
z = 90 - 63
z = [tex]27^{\circ}[/tex]
The value of z is [tex]27^{\circ}[/tex]
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Answer:
28
Step-by-step explanation:
i promise
Find the length of side BC.
Give your answer to 3 significant figures.
C
A
63°
7.4 cm
B
The length of hypotenuse BC is 19.4 cm.
What is the hypotenuse?A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a specific angle, and its "adjacent" side is the one that faces the angle in question. To describe the sides of right triangles, we use specific terminology. The side opposite the right angle is always the hypotenuse of a right triangle.So, a triangle with a right angle and a side.
We must determine the hypotenuse BC.We receive the neighboring side.Let's use the trigonometric cos:
cos(B) = adjacent/hypotenuse cos(71) = AB/BCcos(71) = 6.3/BCBC cos(71) = 6.3BC = 6.3/cos(71)BC = 19.3508Rounding to 3 significant figures: 19.4
Therefore, the length of hypotenuse BC is 19.4 cm.
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The correct question is given below:
Find the lengths of side BC. Give your answer to 3 significant figures.
Ebuka's monthly rent is \$750$750dollar sign, 750. If Ebuka pays the rent late, his landlord charges 4\%4%4, percent interest per week that the payment is late.
Write a function that gives the total cost R(t)R(t)R, left parenthesis, t, right parenthesis, in dollars, of Ebuka's rent if he pays it ttt weeks late.
The function that represents the total cost of Ebuka's rent R(t) if he pays it t weeks late is R(t) = 750 + t/25.
Given that:-
Monthly rent of Ebuka = $ 750
Interest rate charged for late submission of rent by landlord = 4 %
We have to write a function that represents the total cost of Ebuka's rent R(t) if he pays it t weeks late.
We know that,
Total rent paid by Ebuka if he is t weeks late = Monthly fixed rent +( Interest rate per week)*(Number of weeks he is late)
R(t) = $ 750 + (4/100)*t
R(t) = 750 + t/25
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A ribbon is 3 4/5 feet long. Each hair tie needs
2/5 feet. How many hair ties can you make?
Answer:
9 hair ties
Step-by-step explanation:
Starting with an equation:
(Length of ribbon) / (Length of an individual hair tie) = (# of hair ties)
Then, we plug in our values:
(3 4/5 ft.) / (2/5 ft.) = x
x = 9.5
But because half of a hair tie doesn't count as a full hair tie, we round down to 9.
x = 9
Hope this helped! Brainliest would be appreciated but it's fine if not.
200 students took a survey on a new recycling project. The percent of students who
supported the recycling project was greater than 50% but less than 75%. How many students
supported the recycling project?
9
7
(Simplify your answer.)
Answer: 9/7 is already in the simplest form.
if i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is (a) 0.5. (c) greater than 0.5. (e) 1. (b) less than 0.5. (d) 0.
2/5 of the fish in Gary’s fish tank are guppies. 1/4 of the guppies are red. What fraction of the fish in Gary’s tank are red guppies? What fraction of the fish In Gary’s tank are not red guppies? Please show all steps! I am so confused!
If 2/5 of the fish in Gary’s fish tank are guppies. 1/4 of the guppies are red. The fraction of the fish in Gary’s tank that are red guppies is 1 / 10. The fraction of the fish In Gary’s tank that are not red guppies is 9 /10.
FractionGiven data:
Fish in Gary's fish tank that are guppies = 2 / 5
Guppies that are red = 1 / 4
Fraction of the fish in Gary's tank that are red guppies = ?
Now let find the fraction
Fraction = 2 /5 × 1 / 4
Fraction = 2 / 20
Simplifying 2/20 to lowest terms = 1 / 10 (red)
b. Fraction of guppies that are not red
Fraction = 1 - 1 /1 0
Fraction = 9 / 10
Therefore 1 /1 10 are red guppies and 9 / 10 are not red guppies.
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To prepare for a bike race, rex rides his bike for 13 miles each day for 5 days. the app he uses only tracks distance in kilometers. if 1 mile = 1.61 kilometers, what is rex's distance in kilometers? round the answer to the nearest hundredth. 8.07 kilometers 104.65 kilometers 20.93 kilometers 26.19 kilometers
Rex's bike distance in kilometers is calculated to be 104.65 kilometers
How to solve for rex's distance in kilometers
Given that:
rex rides his bike for 13 miles each day for 5 days
1 mile = 1.61 kilometers
Rex's total ride in five days
13 miles * 5 days = 65miles
1 mile = 1.61 kilometers
65 miles = ? kilometers
cross multiply gives
? kilometers * 1 mile = 1.61 kilometers * 65 miles
? kilometers = 106.65 kilometers
Hence the unknown distance in kilometers represented as ? is solved to be 106.65 kilometers to the nearest hundredth
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Answer:
b 104.65
Step-by-step explanation:
i did the exam
PLEASE HELP DUE LIKE RN
The slope of the line on the graph is found as -1/3.
What is termed as the slope?The slope of a line is a measurement of its steepness and direction.A line's slope is described as the change in y coordinate to respect to the change in x coordinate. The net y coordinate change is Δy, whereas the net x coordinate change is x. As a result, the change in y coordinate in relation to the change in Δx coordinate.For the given question;
Select two point lying on the line.
(x₁, y₁) = (0, 4)
(x₂, y₂) = (6, 2)
The slope of the line given in graph is calculated by formula;
slope = m = (y₂ - y₁)/(x₂ - x₁)
Put the values in the slope.
m = (2 - 4)/(6 - 0)
m = -2/6
m = -1/3
Thus, the slope of the line on the graph is found as -1/3.
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2x+3+5x-2=
I need help
Answer:
May be -4 will be the answer
Step-by-step explanation:
2x+3+5x-2
7x+1
x =
1
_
7
I hope you understand the answer . I am sorry for writing it in weird way
answer is 1 by 7
A school surveys all 7th grade boys to determine what to sell in the school store this sample is
Answer:
more details ???
Step-by-step explanation:
A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x.
What is the function input when the output is 25?
10
-10
-20
20
the rule for the translation of AABC to AA'B'C'.
The rule for the translation of AABC to AA'B'C' is (x, y) to (x-2, y-4)
What is the Translation Rule?A translation, which consistently and uniformly moves each point in a figure in one direction, is an example of a transformation. are commonly referred to as slides. A translation can be expressed verbally or graphically using phrases like "moved up 3 and over 5 to the left."
In this case, we want to identify the translation rule.
The question suggests that the new image was only produced by moving the old image by a limited number of units.
The x-axis was moved in one direction while the y-axis was moved downward.
There are Y units as a result, ranging from 12 to 8.
a -4 motion
The x-axis has a two-unit movement to the left.
The rule is therefore:
(x, y) to (x-2, y-4)
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five more than the quotient of a number and is 3 is 9 written as a equation
Answer:
(x/3)+5 = 9
Because quotient is division so just add 5 to that is 9 ig
a single cell amoeba doubles every 6 days. about how long will it take one amoeba to produce a popultion of 1000?
39.8631371388 days will be taken by amoeba to produce a population of 1000 .
What is log functions ?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b.
CalculationsSo the number of amoebae doubles every cycle (a cycle being four days). So we just multiply it by 2 every cycle
2 x 2 x 2...
A simple way to write this is using an exponent with a base of 2
2n
where n represents the number of cycles.
2^1 = 2 amoebae after one cycle
2^2 = 4 amoebae after two cycles
2^3 = 8 amoebae after three cycles, and so on
So you can substitute different numbers for n until you find the correct number of cycles, or you can take the base 2 logarithm of the equation.
2n = 1000
log2(2n) = log2(1000)
n = log2(1000)
Remember, n represents the number of cycles, so once you find it you will have to multiply it by the length of each cycle.
log₂(1000) = 9.9657842847 cycles this is the time taken by the amoeba to produce a population of 1000
therefore days taken will be = 9.9657842847 * 4 = 39.8631371388 days
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Product a requires 5 hr on machine m, while product b needs 7 he on the same machine. the machine is available for at most 40 hr per week. let x be the number of product a made and y be the number of product b.
The required linear equation is 5x + 7y = 280
Product A requires = 5 hours on machine
Product B requires = 7 hours on machine
Time when machine is available = 40 hours per week
this means it is available for 40 × 7 = 280 hours
Given ; let x be the number of product a made
and y be the number of product b.
Thus the linear equation can be obtained as
5x + 7y = 280
where x is for the number of product A makes
and y is for the number of product B makes.
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For the following angles find a conterminal that is located in the interval 0 < 0 < 27 A. A = -2 B.0=1 C.0 = 197 3 4 6
The coterminal angles in the given range is;
For angle
[tex]-\frac{2\pi}{3}\text{ the coterminal is -}\frac{2\pi}{3}+2\pi=\frac{-2\pi+6\pi}{3}=\frac{4\pi}{3}[/tex][tex]\text{The coterminal of }\frac{11\pi}{4}\text{ is }\frac{11\pi}{4}-2\pi=\frac{11\pi-8\pi}{4}=\frac{3\pi}{4}[/tex][tex]\text{The coterminal of }\frac{19\pi}{6}\text{ is }\frac{19\pi}{6}-2\pi=\frac{19\pi-12\pi}{6}=\frac{7\pi}{6}[/tex]Describe the domain and range of each function using inequality or set-builder notation.
Only need questions 14 and 16
The range of values that we are permitted to enter into our function is known as the domain of a function.The x values for a function like f make up this set (x).A function's range is the collection of values it can take as input.After we enter an x value, the function outputs this sequence of values.
What is the domain and range formula?
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).
Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)
The image has four graphs.
In the first graph, the domain and range are (-,+).Domain for the second graph is [-4,4] and range is [3,-1].The third graph has the domain [-4,1] and the range [1,-4].In the fourth graph, the domain is [-,4] and the range is [-,-2].In light of this, there are four graphs in the image.Using set-builder notation or inequality notation, we must determine the scope and range of each function.
The range of values that we are permitted to pass into our function is known as the domain of a function.
The values of the x-axis for a function like f are contained in this collection (x).
This is the set of values that can be entered into a function.
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1/3+2/3x=-5/6x-1/24
step by step pls
Answer:
x = -1/4, or -0.25
Step-by-step explanation:
1/3 + 2/3x = -5/6x - 1/24
first lets write everything in the common denominator of 24
8/24 + 16/24x = -20/24x - 1/24
now we take all our x's onto 1 side, and all our numbers onto the other side
36/24x = -9/24
lets cancel out all the 24's
36x = -9
x = -9/36
now lets simplify
x = -1/4, or -0.25
What number multiplied by 3/4has a product of 1
Answer:
4/3
Step-by-step explanation:
We multiply the factors, and we get the answer of 1.
3 x 4 = 12
_ _ _
4 x 3 = 12
12/12 is 1.
The answer is 4/3.
Hope this helps!
Btw, could I get Brainliest? Thanks!
(it took me so long just to type out that equation-)
Answer:
One of these is the answer you want. If you have choices, please list them.
Step-by-step explanation:
Solution and answer
Let x be the number that can be multiplied by 3/4 and get 1.
(3/4)*x = 1 Multiiply both sides by 4
4*(3/4)x = 4*1 Combine
3x = 4 Now divide by 3
3x/3 = 4/3
x = 1 1/3 or x = 4/3 or x = 1.3333333
I need it (ASAP) can some body help me!!!!!!
Answer:
5. N
6. ?
7. M, L, J
8. JL
Step-by-step explanation:
