Answer:
2x + 3y = 42
Step-by-step explanation:
Standard form should be like:
=> ax + by = c
To make an equation like the above one, we need to do the point-slope form first.
=> y - y1 = slope (x - x1)
Slope = -2/3
Y-intercept -> to find the y-intercept, we need to make the 'x' as 0.
=> y = -2/3 * 0 + 7
=> y = 7
X-intercept -> to find the x-intercept, we need to make 'y' as 0.
=> 0 = -2/3x + 7
=> -7 = -2/3x
=> -21/2 = -x
=> -10.5 = -x
=> 10.5 = x
So, x and y intercepts are 10.5 and 7.
We can now write the point-slope form:
=> y - 7 = -2/3 (x - 10.5)
=> y - 7 = -2/3x + 21/3
=> y = -2/3x + 7 + 7
=> y = -2/3x + 14
=> 2/3x + y = 14
=> Multiply all numbers by 3
=> 2x + 3y = 42
ASAP i need to know the complete working
Answer:
a(1):30%
(2):2135.34
(3):15000
Step-by-step explanation:
a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100
{5625/18750}×100
(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5
she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5
she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)
(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750
Help me its super hard
Answer:
Area: 2 x 10=20
perimeter: 2(2+10)=24
Step-by-step explanation:
Hopefully this helps
Answer:
P = 24
A = 20
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of width + length by 2
P = 2*(10+2)
P = 24 yd
the area is calculated by multiplying width and length
A = 10*2
A = 20
PLZ help me out with this
Answer:
diving the angle into two congruent angles
Step-by-step explanation:
bisecting an angle means dividing the angle into two equal parts
Can you match the teachers comments to the definitions?
Answer:
Sorry
Correct
Close
Step-by-step explanation:
Answer:
Ivy's definition will go with third comment, Ethan's definition will go with the first comment, hence, Ebuka's definition will go with the second comment.
Step-by-step explanation:
Identify a transformation of the function f(x) = x2 by observing the equation of the function g(x) = (x - 1)
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = (x - 1)²
The base graph f(x) has been shifted right 1 unit
Which classification describes the following system of equations?
(12x+5y-32= 36
x-2y + 4z = 3
9x-10y + 5z = 27
Answer:
(12x+5y-32=36
12x-x+5y-2y-32=36
which inequality is graphed on the coordinate plane?
Answer:
a
Step-by-step explanation:
1:cancel out any answers with equal to since the line is dotted
2:pick any two points of your choice and work out the gradient
3:use the gradient a point on the line and an anonymous point (x,y) to get equation of a line
4:then choose a point (0,0) and substitute x with 0 in the equation to get y (in this case it's -1) which is less than 0 hope it helps
The inequality that is graphed on the coordinate plane is y ≤ [tex]x^{2}[/tex].
The graph of this inequality is a parabola that is facing downwards. The parabola opens downwards because the inequality symbol is less than or equal to (≤). The vertex of the parabola is at the point (0, 0).
The parabola intersects the x-axis at the points (-1, 1) and (1, 1). This means that the values of x that satisfy the inequality are all the values that are less than or equal to 1.
The parabola does not touch the x-axis at any other points, so the values of x that do not satisfy the inequality are all the values that are greater than 1.
Here is a graph of the inequality y ≤ [tex]x^{2}[/tex]:
parabola that is facing downwards and intersects the x-axis at (-1, 1) and (1, 1)Opens in a new window
www.teachoo.com
parabola that is facing downwards and intersects the x-axis at (-1, 1) and (1, 1)
The other inequalities that are shown in the answer choices are not graphed correctly. The inequality y ≥ [tex]x^{2}[/tex] is graphed as a parabola that is facing upwards. The inequality y = [tex]x^{2}[/tex] is graphed as a line that is not a parabola. The inequality y > [tex]x^{2}[/tex] is not graphed at all.
Therefore, the only inequality that is graphed correctly is y ≤ [tex]x^{2}[/tex].
Learn more about inequality here: brainly.com/question/20383699
#SPJ2
. (08.01 MC) 1. Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points) 2.(08.01 MC) Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). (4 points)
Answer:
602.88 in³
12
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius (r) = 1/2(diameter)
1. Set up the equation
radius = 4
(3.14)(4²)(3·4)
2. Solve
3.14(16)(12) = 602.88 in³
Formula for volume of a cone = 1/3πr² · h
The formula of a cone is 1/3 the volume of a cylinder. Therefore, a cone that fits perfectly within the dimensions of a cylinder would have a volume equal to 1/3 of the volume of the cylinder.
1. Set up the equation and solve
36 ÷ 3 = 12
i think the answer. . .is the second one please correct me if i'm wrong
Answer: You are correct, it is the second option.
Step-by-step explanation:
Volume of a cylinder formula is: pi*r^2*h. The diameter is 6 and the radius is half the diameter so we get r=3. The height is 10 inches, so h=10. pi(3)^2(10) is the volume of the vase.
Volume of a sphere (marbles) formula is: 4/3*pi*r^3
The marbles have a diameter of 3 so 3/2=1.5. r=1.5.
The volume of the marbles is 8(4/3*pi*1.5^3).
Then you subtract the volume of the marbles from the volume of the vase to find the volume of the water in the vase.
pi(3)^2(10) - 8(4/3pi(1.5)^3)
Hope this helps. :)
Answer:
You are absolutely correct, second option is the correct answer.
Step-by-step explanation:
Diameter of vase = 6 inches
Therefore, radius r = 3 inches
Diameter of marbles = 3 inches
Radius of marbles = 1. 5 inches
Height of water h = 10 inches
Volume of water in the vase = Volume of vase - 8 times the volume of one marble
[tex] = \pi r^2h - 8\times \frac{4}{3} \pi r^3 \\\\
= \pi (3\: in) ^2(10\: in) - 8( \frac{4}{3} \pi (1.5\: in) ^3) \\\\[/tex]
Simplify (a + b - c)(a + b + c)
Answer:
a^2 + b^2 - c^2 + 2ab
Step-by-step explanation:
(a + b - c)(a + b + c)
1. expand
(a^2 + ab + ac + ba + b^2 + bc - ca - cb - c^2)
2. rearrange,
(a^2 + b^2 - c^2 + ab + ba + ac - ca + bc - bc)
3. add and subtract
(a^2 + b^2 - c^2 + 2ab)
What is the slope of the line ?
Answer:
B. -2
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 3 – 0 = 3
ΔY = -2 – 4 = -6
Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994
Answer from Gauth math
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.
Answer:
Step-by-step explanation:
Hello, we know that the z complex solutions of
[tex]z^4=1[/tex]
are
1, i, -1, -i
so, the solutions of [tex]z^4=16=2^4[/tex] are
2, 2i, -2, -2i
Thank you
Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0
Answer:
x - y - 2 ≥ 0
Step-by-step explanation:
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
Answer:
I can confirm that it is: B, the set of points is in a plane
Step-by-step explanation:
It is right.
Area of a trapeziod with a top base length of 6 cm a bottom base length of 12 cm and a height of 5 cm
Answer:
A=45cm^2
Step-by-step explanation:
A= h/2(b1 + b2) for trapezoid
A=(5/2(6+12))cm^2
A=(2.5(18))cm^2
A=45cm^2
Please answer this question now
Answer:
m∠C = 102°
Step-by-step explanation:
This is is a cyclic quadrilateral
• The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
If you look at the above diagram properly, you will notice there are are angles outside the circle. We refer to this an exterior or external angles in a cyclic quadrilateral
• Note that m∠B is Opposite the exterior angle m∠CDA
Hence,
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
• m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
• Another external angle we need to find is m∠DAB
m∠DAB = m∠DA + m∠AB
We know that m∠DA = 84°, therefore,
m∠DAB = 84° + 120°
m∠DAB = 204°
• The final step is to solve for m∠C
m∠DAB is Opposite m∠C
Hence
m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Which set of ordered pairs is not a function?
1) {(3,1),(2,1),(1,2), (3, 2)} 2) {(4,1),(5,1). (6, 1), (7, 1)}
3) {(1,2), (3,4),(4,5),(5,6)} 4) {(0,0),(1, 1), (2, 2), (3, 3)}
Answer:
Set 1 is not a function
Step-by-step explanation:
You can have the same y value multiple times in a function, but you cannot have repeating x values. In set 1, there are two x values that are the same (3,2) and (3,1), so it is not a function.
solve the equation below[tex]\sqrt[5]{27(x-2)}=3[/tex]
Answer:
x = 11
Step-by-step explanation:
Raising both sides to the fifth power, we get:
27(x - 2) = 3⁵
x - 2 = 3⁵ / 27
x - 2 = 3⁵ / 3³
x - 2 = 3⁽⁵⁻³⁾ = 3² = 9
x = 11
-3 = k/12 help please
Answer:
-36 = k
Step-by-step explanation:
-3 = k/12
Multiply each side by 12
-3*12 = k/12 *12
-36 = k
Answer: k= -36
Step-by-step explanation:
[tex]-3=\frac{k}{12}[/tex]
multiply both sides by 12
[tex]\frac{12k}{12}=12\left(-3\right)[/tex]
12*(-3)=-36
[tex]\frac{12k}{12}=12\left(-3\right)[/tex]
k=-36
Which is a complete list of factors of each term in the expression 15 + 20 x? 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20, x 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20 15: 3, 5 20x: 4, 5, x 15: 1, 3, 5 20x: 1, 2, 4, 5, 10, x
Answer:
15: 1 3 5 15
20: 1 2 4 5 10 20
Step-by-step explanation:
This assumes you are only factoring the coefficients of the expression. Using this assumption, we simply create a list of factors of the coefficients.
15 -> 1 * 15, 3 * 5 --> 1 3 5 15
20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20
If you don't assume factoring of just the coefficients, then 20x factors
20x: 1 2 4 5 10 20 x
Cheers.
Answer:
b
Step-by-step explanation:
1. Ms. Rogers earns $___ each month. She pays 25% of her earnings, or $____ in federal taxes and 6% of her earnings, or $____ in state taxes. She pays ____ % of her earnings, or $____ for insurance. After these deductions, Ms. Rogers takes home $_____
131.76
8
175.68
549
2,196
1,339.56
Answer:
2,196; 549; 131.76; 8; 175.68; 1339.56
Step-by-step explanation:
2,196 is the biggest number, so use that as the first number.
.25x2196=549
.06x2196=131.76
.08x2196=175.68
2196-(549+131.76+175.68)=1339.56
An object has a mass of 1 kilogram and a density of 10 grams per cubic centimeter. Which of the following statements is true?
The volume of the object is 100 cubic centimeters.
The volume of the object is 100 cubic meters.
The volume of the object is 100 cubic kilometers
The volume of the object cannot be determined because the shape of the object is not given
Answer:
The volume of the object is 100 cubic centimeters (100cm³)
In this activity, you will help Darin compare the unit prices, in price per pound, of clementines and navel oranges. Clementines are sold in three-pound bags, and navel oranges are sold by the pound. The table represents the cost of three-pound bags of clementines. Number of Bags Cost 1 $5.00 2 $10.00 3 $15.00 The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds. Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?
Answer:
The table gives the cost for the number of three-pound bags of clementines. you need to change the number of bags to pounds to be able to get the data for the clementines in units of pounds and cost.
Step-by-step explanation:
each of the bags are three pounds each so 1 bag times 3, 2bags times 3, and then 3bags times 3, hope this answers your question.
The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that Clementines are sold in three-pound bags, and navel oranges are sold by the pound
The table represents the cost of three-pound bags of clementines.
Number of Bags Cost
1 $5.00
2 $10.00
3 $15.00
The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds.
The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ2
An NFL kicker will get paid based on the average hang time of his kicks. His average hang time is modeled by the following question: h=-16t^2 +97.6t. How many seconds do his kicks remain in the air on average?
Answer:
6.1 seconds
Step-by-step explanation:
set the equation equal to zero
0 = -16t² + 97.6t
factor out t
t(-16t + 97.6) = 0
-16t =- 97.6
t = 6.1
The NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.
To find the average hang time of the NFL kicker's kicks, we need to determine the time at which the height (h) reaches its maximum value. The maximum height corresponds to the peak hang time.
The equation that models the hang time is given as: h = -16t^2 + 97.6t
This is a quadratic equation in the form: h = at^2 + bt + c
In our case, a = -16, b = 97.6, and c = 0 (since there is no constant term).
The time (t) at which the height (h) reaches its maximum value can be found using the formula: t = -b / 2a
Let's calculate the time (t):
t = -b / 2a
t = -97.6 / (2 * -16)
t = -97.6 / -32
t = 3.05 seconds (rounded to two decimal places)
So, the NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.
To know more about air:
https://brainly.com/question/13700629
#SPJ2
Take the number you are given, double the difference between your number and 5, add four, divide by 2. If the first number is 12, what will be the value of the third number.
A) -3
B) -2
C) 2
D) 3
E) 7
Answer:
3
Step-by-step explanation:
Here's the rundown of values:
12=9
9=6
6=3
3rd value=3
*The values are created through going through the numerical process.
Click on the sentence that represents the following equation.
m - 15 = 22
A. The difference of a number and 15 is equal to 22.
B. A number plus 15 is equal to 22.
C. A number increased by 15 is equal to 22.
Answer:
A.
Step-by-step explanation:
'The difference' means minus or subtraction. 'plus' and 'increased' are both for addition.
Brainliest please!
I NEED HELP ASAP FOR THIS MATH QUESTION
Answer:
The answer is C.
Step-by-step explanation:
First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.
-[pi]L+S=[pi]r(superscript)2 ->
-[pi]L=[pi]r(superscript)2-S
Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].
L=S-r(superscript)2.
Therefore, the answer is C.
Answer:
C
Step-by-step explanation:
[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]
Make the term including 'l' stand alone.
[tex]s - \pi. {r }^{2} = \pi.l[/tex]
Now make L stand alone by dividing through by pi.
[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]
This is the same as
[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]
A traveler explores the regions of Mexico. She travels from Sonora to Colima, and
Colima to Tamaulipas. Write two inequalities that represent the two possible distances
from Tamaulipas back to Sonora.
Answer:
809mi
Step-by-step explanation:
There are two ways to travel form Tamaulipas to Sorona. The first if the direct route from Sorona to Tamaulipas which is 809mi. The another route is to travel to Colima from Sorona and then travel to Tamaulipas from Colima. This is the long distance routes in which there are two destination points. The direct route is shorter in length therefore preferable.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
I believe the answer is 39.368, if we round that it makes it, 39.4
Step-by-step explanation:
what is the volume of 5 m 8m and 10.5m
Answer:
Volume = 5×8×10.5 = 420 meters3
Step-by-step explanation:
5×8×10.5