Answer:
[tex]y=\frac{1}{4} x+3[/tex]
Step-by-step explanation:
[tex]y-5=\frac{1}{4} (x-8)[/tex]
[tex]y=\frac{1}{4} x-2+5[/tex]
[tex]y=\frac{1}{4} x+3[/tex]
Hope this helps
Answer:
y = [tex]\frac{1}{4}[/tex] x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute (8, 5 ) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of line
Find the surface area of the prism formed by each net.
Answer:
378 in^2
Step-by-step explanation:
This is the sum of the area of the 6 rectangles
That is:
8*15 + 3*15 + 3*8 + 8*15 + 3*8 + 3*15
= 378 in^2
This sphere has a radius of 9 m. What is the surface area of the sphere? Enter your answer, in exact form, in the box
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi[/tex]
do you know the answer to this question 4x16+3-1
Answer:
66
Step-by-step explanation:
use
P- parenthesis
E- Exponents
M-multiplication
D-Division
A- addition
S- subtraction
NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.
This means that that we do it from left yo right
4×16+3-1 --> 64+3-1 --> 67-1 = 66
If m<5=53º and m∠7=125º, find the measures of each numbered angle.
m<1=
m<2=
m<3=
m<4=
m<6=
#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°
triangle = 180°
alternating interior angles are the same (#6 & #3 and #5 and #1)
#3 and #7 should equal 180°
#1 and #4 should also equal 180°
#6 and #7 should equal 180°
#4 and #5 should equal 180°
Please help I am very confused!
Answer:
m = -1
the line goes down in a straight line from the starting point
Answer: -1
Step-by-step explanation:
Slope formula y2-y1/x2-x1. -9-(-4)/3-(-2). -5/5= -1
You went shopping and bought a total of 31 items, some of them pants and some of them shirts. The shirts cost $7 and the pants cost $22 and you spend $517 in total. How many shirts and how many pants did you buy?
Shirts________
Pants________
Need help, see photo below.
Answer:
The correct answer would be option 2; Regular Hexagon
Hope this helps!
How does the volume of a cylinder with a radius of 3 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units?
a. The volume of the cylinder is greater than the the volume of the prism
b. The volume of the cylinder is smaller than the volume of the prism.
C. The volume of the cylinder is the same as the volume of the prism
d.You cannot compare the volumes of different shapes
Answer:
The volume of the cylinder is greater than the volume of the prism.
Step-by-step explanation:
The Volume of a cylinder is given as:
= πr²h
Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:
= πr²h
=3.14 × 3² × 12
=339.12
The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:
= Length × Width × Height
Based on the calculation, the volume of the cylinder is greater than the volume of the prism.
Answer:
B: The volume of the cylinder is smaller than the volume of the prism.
Step-by-step explanation:
In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.
Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.
Therefore, since 2304 un³>108 un³, answer choice b would be correct.
Of the 4 people attending a lecture, 2 have hazel eyes.
What is the probability that a randomly selected person will have hazel eyes?
Write your answer as a fraction or whole number.
Answer: 50%
Step-by-step explanation:
Because 2 of four is half, that that the probability is a 50% chance.
Answer:
1/2
Step-by-step explanation:
Think of this like a pizza or pie:
If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.
Because this is a fraction and it can be simplified, it would be 1/2.
So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.
Which terms complete the factorization of x2 27x 162 represented by the model? 27, 9x, 18x 9, 9x, 18x 27, 9x, 27x 9, 9x, 27x
Answer: 9, 9x, 18x
Step-by-step explanation:
Hope it helps :D
Need help with this question please and thank you
Answer:
The answer is C. [tex]y = \frac{1}{12}(x+2)^{2}+2[/tex]
Consider the equation 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 4 startfraction 5 over 3 endfraction v plus 4 equals 8 minus startfraction 1 over 3 endfraction v. v = 8. what is the resulting equation after the first step in the solution? v 4 = 8 – v startfraction 4 over 3 endfraction v plus 4 equals 8.v 4 = 8 4 v = 8 – 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 2v 4 = 8
The resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.
What is an algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression is used to represent the general problem in the mathematical way to solve them.
Consider the following equation,
[tex]\dfrac{5}{3}v +4+\dfrac{1}{3}v=8[/tex]
To solve this equation, first we have to arrange the similar terms one side of the equation as,
[tex]\dfrac{5}{3}v+\dfrac{1}{3}v +4=8[/tex]
Solve it further by taking LCM,
[tex]\dfrac{5+1}{3}v +4=8\\\dfrac{6}{3}v+4=8\\2v +4=8\\[/tex]
Hence, the resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Answer:
c on edge
Step-by-step explanation:
WILL GIVE BRAINIEST
in this equation 3x=n, John claims that for any value for x, the value of n will always be greater than or equal to the base of 3
A.2
3^2 = 9
(any number greater than one because 3^1 = 3, this is not greater than 3)
B. 0
3^0 = 1
(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)
Hope this helps!
Which accounting principle states that a business and its owner are to be treated as separate legal entities
the economic entity concept
Answer:
economic entity principle
Step-by-step explanation:
Please help and match the following. Pt2
Answer:
the first one will be B) x^2-4x+4
the sencond one will be A) x^2-16
the third one will be C) x^2+x-2
the fourth one will be D) -2x^3+4x^2+16x
Step-by-step explanation:
hope this helps now i gotta really go :)
Find the volume will give brainliest to whoever answers correctly
Answer:
Vol = 252 cubic ft
Step-by-step explanation:
Consider the bottom and top of the shape separately. Calculate the volumes and add them together.
Bottom of the shape is a prism. Volume of a prism:
V =
Base Area•Height
The base is a triangle. Use Area of a triangle formula:
A = 1/2b•h
A = 1/2(7)(6)
A = 21
Use 21 for Base Area for both parts of the volume calculation.
Vol of prism, continued:
V = 21•9
V = 189
Volume of a pyramid (top)
V = 1/3•BaseArea•Ht
=1/3(21)(9)
=63
Total Volume=
189 + 63
= 252 cubic ft
The circumference of a circle is 6π cm. What is the area, in square centimeters?
Answer:
9Pi square units
Step-by-step explanation:
Area = Pi x Radius^2
Diameter = Circumference / Pi
= 6Pi / Pi
= 6
Radius = Diameter / 2
= 6 / 2
= 3
Area = Pi x 3^2
Hope this helps!!
what's the answer for 2/3+x=4
Step-by-step explanation:
what is the problem for you ?
to solve an equation ?
or to deal with fractions and how to relate them to whole numbers (e.g. how to convert whole numbers into fractions) ?
if you need any additional information, please let me know.
I am just solving the equation now :
2/3 + x = 4
x = 4 - 2/3 = 12/3 - 2/3 = 10/3 = 3 1/3
Answer:
Step-by-step explanation:
x = 4 - 2/3
x = 3 3/3 - 2/3
x = 3 1/3
The circumference of a circle is 71 in. Find its radius, in inches.
Answer: r = 11.3
Step-by-step explanation:
In order to find the radius given circumfrence we use the following formula
[tex]r=\frac{C}{2*\pi }[/tex]
[tex]r=\frac{71}{2*3.14 }[/tex]
r = 11.3
A store is selling a green rug for $54.50 and a white rug for $31.85. the green rug is marked down by 12%, and the white rug is marked up by 16%. after the markup and markdown, which rug is more expensive, and how much more expensive is it? round all dollar values to the nearest cent. a. the white rug is $1.09 more expensive than the green rug. b. the white rug is $5.35 more expensive than the green rug. c. the green rug is $1.44 more expensive than the white rug. d. the green rug is $11.01 more expensive than the white rug.
The a seer to the more expensive rug is; D: the green rug is $11.01 more expensive than the white rug.
How to calculate mark up and mark down?We are told that;
Current cost of Green rug = $54.50
Current cost of White rug = $31.85
Now the store wants to mark down the green rug by 12%. Thus;
New price of green rug = (100% - 12%) × 54.5
New price of green rug = $47.96
Now the store wants to mark up the white rug by 16%. Thus;
New price of white rug = (100% + 16%) × 31.85
New price of green rug = $36.95
Difference in New prices = $47.96 - $36.95
Difference in New prices = $11.01
Read more about Mark up at; https://brainly.com/question/1153322
30 POINTS!!
LOOK AT PHOTOS!! (THERES 2!!)
Which graph displays points that correspond to the x and y values in the table?
Answer:
A
Step-by-step explanation:
A is the only one with (4,0) (1,-1) (0,0) and (-2,5)
Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. which solution would he have found for the equation 3x2 4x = 6?
The value of the quadratic equation x has a value of 0.8968 and a negative value of 2.23.
What is a factorization, and how does it work?It is a method for dividing a polynomial into parts, each of which will be multiplied. At this time, the polynomial's value will be zero.
The equation for the expression is given below.
3x² + 4x = 6
3x² + 4x - 6 = 0
we know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Then we have
[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]
More about the factorization link is given below.
https://brainly.com/question/6810544
This table gives the value of an investment for the first 14 years after the initial investment was made. The data can be modeled using an exponential function.
Years 2 4 6 8 10 12 14
Investment value $692 $952 $1,304 $1,813 $2,316 $3,256 $4,718
Based on the data, which amount is closest to the value of the investment 18 years after the initial investment? PLS HURRY I NEED THIS ANSWERED NOW, WILL GIVE 95 POINTS
Answer:
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is the initial valueb is the growth factorx is the independent variabley is the dependent variableLet x = years
Let y = investment value
Use (2, 692) and (4, 952) to find a and b of the exponential equation:
[tex]ab^2=692[/tex]
[tex]ab^4=952[/tex]
[tex]\implies \dfrac{ab^4}{ab^2}=\dfrac{952}{692}[/tex]
[tex]\implies b^2=\dfrac{238}{173}[/tex]
[tex]\implies b=\sqrt{\dfrac{238}{173}}=1.17\:\textsf{(nearest hundredth)}[/tex]
[tex]\implies ab^2=a\left(\dfrac{238}{173}\right)=692[/tex]
[tex]\implies a=\left(\dfrac{59858}{119}\right)=503.01\:\textsf{(nearest hundredth)}[/tex]
Therefore, the exponential equation is:
[tex]y=503.01(1.17)^x[/tex]
18 years after the initial investment is when [tex]x=18[/tex]:
[tex]\implies 503.01(1.17)^{18}=8490[/tex]
Therefore, the amount closest to the value of the investment 18 years after the initial investment is $8490
(If you use the exact values for a and b rather than the rounded values, the amount is $8879)
What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?
1-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions have an x-intercept in common.
2- Both f(x) and g(x) include domain values of [12, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
3-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions increase over the interval (-6, 0).
4-Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).
Using the domain and the range of the function, it is found that the correct option is given by:
4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.Function f(x) is defined by: f(x) = 12x.
Line with positive slope, hence it is increasing all over it's domain.Range is all real values.No restriction, hence the domain is also all real values.Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]
The square root function increases over all it's domain.The range is [tex](0, \infty)[/tex].The term inside the root cannot be negative, hence the domain is [12, ∞), which is contained into the domain of f(x).This means that option 4 is correct.
More can be learned about domain and range of a function at https://brainly.com/question/27274752
[tex]3^x - ^2 = 3^7[/tex](05.01 MC) Solve 3x − 2 = 37.
Answer:
x=㏒3(2189)
Step-by-step explanation:
PLS HELP MEEE I REALLY NEED HELP
a) 24.92
b) 65.616
c) 66.43
d) 6.13
e) 25.0862
f) 4.95
a funnel is in the shape of a cone with a radius of 4 inches and a height of 10 inches.
a. find the volume of the funnel. Round your answer to the nearest 10th
b. the funnel is filled with oil. how many quarts of oil are in the funnel? (1 qt = 58in ^3.) round to the nearest tenth
Answer:
A. 167.4
B. I don't know but I hope this helps :)
Step-by-step explanation:
the formula for volume of a funnel is:
V= 1/3 pi r^2 h
if we plug in the given values we are left with:
V= 1/3 (pi) 4^2 (10)
using 3.14 for pi, we get the answer:
V= 167.4
4) What is 15% of 22?
A) 3
B) 3.3
C) 30
D) 33
Answer: 3.3
Step-by-step explanation: Find the calculation in the picture
If mBE=119 and mBKE=93, find mUH.
Answer:
arc UH = 67°
Step-by-step explanation:
the measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , then
[tex]\frac{1}{2}[/tex] ( BE + UH ) = ∠ BKE , that is
[tex]\frac{1}{2}[/tex] (119 + UH ) = 93° ( multiply both sides by 2 to clear the fraction )
119° + UH = 186° ( subtract 119° from both sides )
UH = 67°
Answer:
Step-by-step explanation:
∠HKU = ∠BKE {Vertically opposite angles}
∠HKU = 93°
Angles fromed by insecting chords equals half the sum of intercepting arcs.
[tex]\sf \angle HKU =\dfrac{1}{2}(arc \ HU + arc \ BE) \\\\ 93^ \circ = \dfrac{1}{2}(arc \ HU + 119)[/tex]
93 *2 = arc HU + 119
186 = arc HU + 119
186 - 119 = arc HU
arc HU = 67°
Write each expression using exponents:
4*4*4*4*4
Answer:4^6
Step-by-step explanation:
The number of times a term is multiplied is the exponent you use.
In this problem
4 is multiplied 6 times.
Therefore: 4*4*4*4*4*4=4^6