The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slope of the equation of a line is 4, then the equation of the line will be
y = 4x + c
The equation of the line is passing through (8, 5), then the value of c will be
5 = 4(8) + c
5 = 32 + c
c = 5 - 32
c = - 27
Then the equation of the line will be
y = 4x - 27
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please help the answer is 97 but i want to know the process of doing it ASAP
Answer:
97
Step-by-step explanation:
You want the value of the composition of functions f and g for x=4.
CompositionThe ring operator signifies a composition of functions. It works right to left. That is, ...
[tex](f\circ g)(x)=f(g(x))[/tex]
A composition is evaluated using the Order of Operations, working from inner parentheses outward.
Application[tex](f\circ g)(4)=f(g(4)) = f(3-\dfrac{1}{2}4^2)=f(-5)\\\\=4(-5)^2-3=100-3=\boxed{97}[/tex]
I need help with the question in this photo
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal
15. Which relation has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8)?
O {(2,-5), (3,-3), (6, 0), (7,-5), (1, 0), (8,-5), (4, -3), (5, 0))
O((-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)}
{(-5, -5), (-3,0), (2, 8), (1,7), (5, 3), (6,4)}
((-5, 9), (10, -3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}
Among the four options provided in the reference diagram for the question attached thereby along with the question statement, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.
As per the question statement, we are required to determine the relation which has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8).
To solve this question, we will use the trial-and-error method on the options provided. We have to find out possible (x, y) combination, where "x" belongs to the set of {(-5), (-3), 0} and "y" belongs to the set of {1, 2, 3, 4, 5, 6, 7, 8}, and match these combinations with the options.
The first option has x values from the set of {1, 2, 3, 4, 5, 6, 7, 8} and y values from the set of {(-5), (-3), 0}. Hence, it is not the correct answer.
The second option has x values from the set of {(-5), (-3), 0} and y values from the set of {1, 2, 3, 4, 5, 6, 7, 8}. Hence, it is one possible correct answer.
The third and fourth options have values out of the sets of {(-5), (-3), 0} and {1, 2, 3, 4, 5, 6, 7, 8}. Hence, they are not the correct answers.
Therefore, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.
Range & Domain of a Function: In a function, say [y = f(x)], the set of values we can plug into the function, i.e., "x" is the domain for the function while, the set of outputs the function will produce on inputs of x, will form the Range of the function.To learn more about Range & Domain of a Function, click on the link below.
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Geneva treated her parents to dinner at their favorite restaurant. The bill was $77.25. She wants to leave 16% of the total bill as a tip. How much should the tip be, in dollars?
Answer:
Step-by-step explanation:
Given that;
Amount paid for dinner = $74.25
Percentage of tip = 16% = 0.16
Find: Amount of tip
Computation: Amount of tip = (Amount paid for dinner)(Percentage of tip)
Amount of tip = (74.25)(0.16)
Amount of tip = $11.88
set of numbers divisible by 3 from 5 to 25
Set-Bulider Notation
Roaster Method
Step-by-step explanation:
(6, 9, 12, 15, 18, 21, 24)
A random number generator will pick a whole number from 1 to 20 ten times. Predict how many times you think it will pick two numbers that are 8 or less. Explain.
The prediction of the number of times it will pick two numbers that are 8 or less is 4 times
How to predict the number of times it will pick two numbers that are 8 or less?The given parameters are
Sample space = Whole number from 1 to 20Number of trials, n = 10Probability values: Values that are 8 or lessThe sample size of whole number from 1 to 20 is
Sample Size = 20
While the sample size of the probability values that are 8 or less is
Probability Size = 8
So, the probability of selecting a value that is 8 or less is
P = Probability Size/Sample Size
So, we have
P = 8/20
The prediction of the number of times it will pick two numbers that are 8 or less is
Prediction = P * n
So, we have
Prediction = 8/20 * 10
Evaluate the product
Prediction = 4
Hence, the prediction of the number of times it will pick two numbers that are 8 or less is 4 times
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Would be wonderful, if anyone could help me understand what steps you should do for this one.
The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.
What is midpoint of line segment?
The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.
It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :
PM = MR
2x+5 = 4x -7
4x -2x = 5 + 7
2x = 12
x = 12/2
x = 6
Hence proved that the value of x is 6
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HELP!! WILL GIVE BRAINIEST WHO ANSWERS CORRECTLY
you are standing near a street lamp that is 12 feet tall. suppose you are 5.5ft tall and your shadow casted on the ground is 10 ft long. how far are you standing from the lamp post?
Using proportions, it is found that you are standing 31.8 ft from the lamp post.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, when the measures have a degree of proportionality among them, using operations such as multiplication or division.
For this problem, the procedure is relatively simple, as we just find the proportional relationship between the the heights and shadows, and apply a rule of three to find the desired measure.
For this problem, we have that the heights and shadows are related as follows:
Height of 5.5 ft, shadow of 10 ft.Height of 12 ft, distance of d - 10, due to the shadow.Hence the following proportional equation is built:
5.5/10 = 12/(d - 10)
0.55 = 12/(d - 10).
Applying cross multiplication, we can solve for d as follows:
0.55d - 5.5 = 12
0.55d = 17.5.
d = 17.5/0.55
d = 31.8.
You are standing 31.8 ft from the lamp post.
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What is the greatest common factor of 26 and 4?
Answer:
2
Step-by-step explanation:
List of positive integer factors of 26 that divides 4 without a remainder. We found the factors and prime factorization of 4 ad 26. The biggest common factor number is the GCF number. So the greatest common factor 4 and 26 is 2.
A square has a side of length 2x cm. In terms of x, what is its...
a) perimeter?
b) area?
Classify the indicated pairs of angles.
Answer:
can you send a link or photo of the angles?
Step-by-step explanation:
Wild Safari Tours charges $75 per person for a day trip, and deducts $25 for every fourth person in a group of four or more. What is the cost for a group of four? a group of nine? Show work.
The cost for a group of nine will be $625.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
total number of people in the group is nine
total amount that will be charged will be = $75×9= $675
the amount that will deduct is $25
there will be to groups will be 2
so total amount that will be deducts = $25×2= $50
so total cost will be $675- $50= $625
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An investor bought 400 shares of stock, some at $2.75 per share and some at $4.00 per share. If the total cost was $1443.75, how many shares of each stock did the investor buy? (Round to two decimal places if necessary.)
If the total cost was $1443.75, 125.00 shares were bought at $2.75 and 275.00 shares were bought at $4.00.
How do we represent the shares bought at different prices?We can represent the number of shares bought at $2.75 as x and the number of shares bought at $4.00 as y, hence, the sum of x and y is
400x+y=400....... equation 12.75x+4.00y=1443.75 .......... equation 2solve for x in equation:
1x=400-y2.75(400-y)+4.00
y=1443.751100-2.75y+4.00
y=1443.751.25
y=1443.75-11001.25
y=343.75
y=343.75/1.25
y=275.00275
shares were bought at:
$4.00x+y=400
x+275=400
x=400-275
x=125.00125
shares were bought at $2.75.
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Jack and Jill shared
1
2
of a cake. Jack got to eat twice as much cake as Jill. What
fraction of the whole cake did Jack eat?
The fraction of the whole cake did Jack eat = 1/3.
What precisely is a fraction in mathematics?A fraction is a portion of a whole. In arithmetic, each number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, these are both integers. A complicated fraction contains a fraction in either the numerator or denominator.
According to the given data:Jack's share of the total cake is 1/3
Total fraction of cake = 1/2
Let :
Jill's share = x
Jack's share = 2x
Jack's share + Jill's share = total fraction of cake
x + 2x = 1/2
3x = 1/2
x = (1/2 ÷ 3)
x = (1/2 × 1/3)
= 1/6
Jack's share:
= 2x
= 2(1/6)
= 2/6
= 1/3
So,
Jack's share of the cake is 1/3.
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How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
5/28
Step-by-step explanation:
You want the shaded portion of a circle that has non-overlapping portions 1/4 and 4/7 that are unshaded.
Difference of fractionsThe shaded portion of the circle is what is left after the fractions 1/4 and 4/7 are subtracted from the whole (1).
1 -1/4 -4/7 = 3/4 -4/7 = (3·7 -4·4)/(4·7) = (21 -16)/28 = 5/28
5/28 of the circle is shaded.
__
Additional comment
Sometimes it is easiest to use the product of denominators as the common denominator. Here, that also happens to be the least common denominator.
We used the formula for fraction subtraction:
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]
No reduction of the result is needed in this case.
Answer:
the answer is 5/28
Step-by-step explanation:
5/28 is the answer
If we know that W is a subset of the vector space V and we know that W contains the zero vector 0, then W must be a subspace of V.
True
False
The statement that W must be a subspace of V is "true."
What exactly is a vector's subspace?A vector space that's also enclosed inside another vector space is referred to as a subspace. So each subspace is a vector space in and of itself, but it is also defined in relation to another (larger) vector space.Fr the given question;
To demonstrate that a subset is indeed a subspace, you must demonstrate three things:
Show that it is closed in addition. Demonstrate that it is closed under scalar multiplication. Demonstrate that vector 0 is included in the subset.As, it is given in the question that;
W is a subset of the vector space V. W contains the zero vector.Which shows that the W must be within the subspace of V.
Thus, the set W is the subspace of V is true statement.
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Multiplying each digit of one number by each digit of another number won’t work when you’re multiplying numbers with more than three digits
Answer: this statement would be true because that would mean that 100x100=1
Step-by-step explanation:hope it helps, brainliest? i could really use it
Resolver
4+5.2+3·6÷2=
Answer:
11
Step-by-step explanation:
[tex]4+5.2+3.6 \div 2 \\ \\ =4+5.2+1.8 \\ \\ =9.2+1.8 \\ \\ =11[/tex]
Suppose you roll 2 dice. What is the pobability that the sum of the 2 dice is ≤ 2, given that the 1st dice is a 1?
The probability that the sum of the 2 dice is less than 2 is equal to 1/36.
Given that the sum required is less than or equal to 2 and the first dice is a 1.
We are required to find the probability if 2 dices are rolled and the sum of the 2 dice is less than 2.
Probability is basically the likeliness of happening of any event among all the events possible. It lies between 0 and 1.
Probability=Number of items/Total items
Outcomes=(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
Outcome whose sum is less than or equal to 2=(1,1)
Probability=1/36
Hence the probability that the sum of the 2 dice is less than 2 is equal to 1/36.
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Eight rational numbers are plotted on a number line.
A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.
Which of the following is true about opposite numbers?
Point B and Point C are opposite rational numbers because they are the reciprocal of each other.
Point B and Point F are opposite rational numbers because they are the opposite reciprocals of each other.
Point B and Point E are opposite rational numbers because Point B is farther away from zero than Point E.
Point B and Point G are opposite rational numbers because they are the same distance away from zero.
The option that is true about opposite numbers is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.
What are the Opposite Numbers?Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions.
We are given the points on the number line as;
A = -3/2
B = -4/3
C = -3/4
D = -2/3
E = 2/3
F = 3/4
G = 4/3
From the above, we can tell that;
Points B and G are opposite numbers
Points C and F are opposite numbers
Points D and E are opposite numbers
Looking at the given options, the only correct one is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.
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Which Law of Exponents is used to write (3ab)³ as the equivalent expression 27a³b³?
Choose the correct answer below.
OA. Product of a Power Law
B. Power of a Power Law
C. Power of a Product Law
OD. Power of a Quotient Law
...
Answer:
A) product of a power law
Step-by-step explanation:
most sensible
El conjunto de todos los
números Cardinales entre 4 y 14
El conjunto de todos los
números Cardinales entre 4 y 14
=4,5,6,7,8,9,10,11,12,13,14
números Cardinales:
Los números cardinales son los números que se usan para contar algo. También se dice que estos son cardenales. Los números cardinales son los números de conteo que comienzan desde 1 y continúan secuencialmente y no son fracciones.
El significado de los cardenales es "cuántos" de cualquier cosa existen en un grupo.
o
Los cardenales significan "cuánto" existe en un grupo.
Por ejemplo, si queremos contar el número de manzanas que hay en la cesta, tenemos que hacer uso de estos números, como 1, 2, 3, 4, 5… y así sucesivamente. Los números nos ayudan a contar el número de cosas o personas presentes en un lugar o grupo. Los números cardinales denotan la colección de todos los números ordinales.
El conjunto de todos los
números Cardinales entre 4 y 14
=4,5,6,7,8,9,10,11,12,13,14
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Chapter 8 part 2
in need of help asap!!!!!
6.Find the circumference of each circle. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
7.Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
8.Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
9.Find the length of each arc. Round your answers to the nearest tenth.
10.Find the length of each arc. Round your answers to the nearest tenth.
6) The circumference of the circle is; 36.7 Km
7) The area of the Circle is; A = 58.1 m²
8) The area of the circle is; A = 116.9 m²
9) The length of the arc is; L = 61.3 ft
10) The length of the arc is; L = 11.5 ft
How to find the area and circumference of a circle?6) Formula for circumference of circle is; C = πD
Where D is diameter. Thus;
C = π * 12
C = 36.7 Km
7) Area of a circle is given by the formula:
A = πd²/4
Thus; A = π * 8.6²/4
A = 58.1 m²
8) Area of circle here is;
A = πr²
A = π * 6.1²
A = 116.9 m²
9) Formula for length of arc is;
L = θ/360 * 2πr
L = 270/360 * 2π*13
L = 61.3 ft
10) L = θ/360 * 2πr
L = 60/360 * 2π*11
L = 11.5 ft
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Find the product. -5x(2x + 2x7)
Answer:
The answer is 85x
Step-by-step explanation:
Answer:
−10x[tex] \sf {}^{8} [/tex]−10x[tex] \sf {}^{2} [/tex]
Step-by-step explanation:
(−5x)(2x+2x[tex] \sf {}^{7} [/tex])
=(−5x)(2x+2x[tex] \sf {}^{7} [/tex])
=(−5x)(2x)+(−5x)(2x[tex] \sf {}^{7} [/tex])
=−10x[tex] \sf {}^{2} [/tex]−10x[tex] \sf {}^{8} [/tex]
=−10x[tex] \sf {}^{8} [/tex]−10x[tex] \sf {}^{2} [/tex]
The weight of water is 62 1/2 lbs per cubic foot. How many cubic feet would be occupied by 160 lbs of water
Answer:
32.86.
Step-by-step explanation:
I FOUND this answer because...
Al buys raw peanuts for .40 for a pound. He roasts and sells them in .2 pound bags.how much does a bag of peanuts cost al?
Answer:
0.08
Step-by-step explanation:
.2 is 1/5 of a pound, so the cost is (.40)/5 = 0.08
Which graph represents the solution to the inequality −2.79 is less than or equal to the product of a number and 0.3?
number line with closed circle on point negative 9.3 and arrow shaded to the right
number line with open circle on point negative 9.9 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the right
Answer: I think it's C. number line with closed circle on point negative 3.2 and arrow shaded to the left
HELP I ONLY HAVE 1 MORE CHANCE TO DO THIS PLEASE!!!
Hello and Good Morning/Afternoon:
The table shows a linear function:
[tex]\hookrightarrow \text{This means that the slope is consistent between all the points}\\[/tex]
Thus we can use any point to help us find our slope:
[tex]\hookrightarrow \text{let's pick two points}[/tex]
(x₁, y₁) = (2,7)(x₂,y₂) = (5,16)[tex]\hookrightarrow \text{Slope} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{16-7}{5-2} =\dfrac{9}{3} =3[/tex]
Answer: 3
Hope that helps!
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7. We call the middle of each individual class the class:
a. interval.
b. cumulative frequency.
c. relative frequency.
d. mid-point.
Answer:
Step-by-step explanation:
Answer:
b cumulative frequency
Step-by-step explanation:
A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches. If a poorly thrown dart is equally likely to hit anywhere on the dartboard, what is the probability of it hitting the target? (Write your answer as a fraction.)
The value of the probability of hitting the target is 0.1736.
According to the statement
We have to find that the value of the probability.
So, For this purpose, we know that the
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
From the given information:
A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches.
Then
Area of a circular dartboard = [tex]\pi r^{2}[/tex]
Area of a circular dartboard = [tex](3.14)* 12^{2}[/tex]
Area of a circular dartboard = [tex](3.14) *144[/tex]
Area of a circular dartboard = 452.16 inches
And then
Area of a circular bullseye = [tex]\pi r^{2}[/tex]
Area of a circular bullseye = [tex](3.14)* 5^{2}[/tex]
Area of a circular bullseye = [tex](3.14) * 25[/tex]
Area of a circular bullseye = 78.5
Then
Probability of hitting the target = Area of a circular bullseye / Area of a circular dartboard
Probability of hitting the target = 78.5 / 452.16
Probability of hitting the target = 0.1736.
So, The value of the probability of hitting the target is 0.1736.
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