Answer:
18 , 34and 50 are multiples of 2
Step-by-step explanation:
2×9=18
17×2=34
25×2=50
Answer:
A,C,E
Step-by-step explanation:
A,9×2=18
C,17×2=34
E,25×2=50
WILL GIVE BRAINLIEST
Use the distributive property to simplify
the equation below.
5(2x + 3y - 2) = [ ? ]x
? ]x + [ ]y - [
Answer:
10x +15y -10
Step-by-step explanation:
5(2x + 3y - 2)
Distribute
5*2x + 5*3y+5(-2)
10x +15y -10
Answer:
10x+15y-10
Multiply 5 to each of the numbers inside the bracket, make sure not to interchange the signs and also remember to put the variables along the multiplied number.
The productivity of a country is given by f(x, y) = 600x^2/3 y^1/3, where x and y are the amount of labor and capital.
a) Compute the marginal productivities of labor and capital when x = 125 and y = 64.
b) Use part (a) to determine the approximate effect on productivity of increasing capital from 64 to 66 units, while keeping labor fixed at 125 units.
c) What would be the approximate effect of decreasing labor from 125 to 124 units while keeping capital fixed at 64 units?
pls help! I need the answer fast
Answer:
D
Step-by-step explanation:
area of a rectangle : length × width = 6×3 = 18
area of a circle : pi×r² = pi × (1.5)² = pi × (3/2)² = pi×9/4
the area of the shaded region is simply the area of the rectangle minus the area of the circle.
and so it is
18 - 9×pi/4
Jan needs 1/3 of chocolate chips to make cookies and 3/4 cup to make brownies. How many cups does she need altogether?
Answer:
She needs 1½ cups
Step-by-step explanation:
Number of cups she needs altogether = 1/3 + 3/4 =(4+9)/12 = 13/12 = 1½
The area of a rectangle is 44 m^2, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
length :
width :
Answer:
Length:8
Width:5.5
Step-by-step explanation:
We're given area = 44m^2, and the formula for the area of a rectangle is the length multiplied by the width. So,
A = L * w = 44
We're given that the length is 3m shorter than 2 times the width, which is 2w - 3. "2w" is the same as "2 times the width", and the 3 is subtracted because it says 3m shorter than 2 times the width. So L = 2w - 3, and we can substitute that into our equation above.
(2w - 3)(w) = 44
2w^2 - 3w - 44 = 0
Use the quadratic formula here.
x = {3 ± √(-3)^2 - 4(-44)(2)}/2(2)
= {3 ± √9 + 352}/4
= (3 ± 19)/4
You'll get two answers, but remember, we're measuring the length of the sides of shapes, so it has to be positive. It's impossible to have negative lengths, so we're going to stick with the (3 + 19)/4 answer, which is 22/4, which is 5.5. However, we are not finished yet. This is just the width. Now we need to plug it into the equation for length, which was 2w - 3
2(5.5) - 3 = 11 - 3 = 8
The length is 8m and the width is 5.5m.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
Square root x + 6 - 4 = x
Answer:
-2, (-5 is extraneous)
Step-by-step explanation:
assuming √(x+6) -4 =x
√(x+6) = x+4
square both side
x+6 = (x+4)^2
x+6 = x^2+8x+16
x^2+7x+10=0
(x+2)(x+5) = 0
x = -2, -5
put -5 back into org equation and it is not true
√(-5+6) -4 ≠ -5
Bond A is zero-coupon bond paying $100 one year from now. Bond B is a zero-coupon bond paying $100 two years from now. Bond C is a 10% coupon bond that pays $10 one year from now and $10 plus the $100 principal two years from now. The yield to maturity on bond A is 10%, and the price of bond B is $84.18. Assuming annual compounding, what is the price of Bond A?
Answer:
c
Step-by-step explanation:
A circular pizza has a diameter of 12 inches and is cut into 10 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices
14.4 straight pi inches squared
3.6 straight pi inches squared
2.4 straight pi inches squared
12.4 straight pi inches squared
[tex]\\ \sf\longmapsto Area=2\pi r[/tex]
[tex]\\ \sf\longmapsto Area=2(3.14)\times 6[/tex]
[tex]\\ \sf\longmapsto Area=2(18.84)[/tex]
[tex]\\ \sf\longmapsto Area=37.68in^2[/tex]
Now area of each slice
[tex]\\ \sf\longmapsto \dfrac{37.68}{12}[/tex]
[tex]\\ \sf\longmapsto 3.6in^2[/tex]
The area of each slice of the pizza will be 3.6π square inches. The correct option is B.
What is the area of the sector?The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the out trace.
It is given that a circular pizza has a diameter of 12 inches and is cut into 10 congruent slices.
Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be
Area = (θ/2π) πr²
angle = 2π/10
The area will be calculated as below:-
Area = (2π/10)/2π) πr²
Area = ( π x 6 x 6 ) / 10
Area = 3.6π square inches
Therefore, the area of each slice of the pizza will be 3.6π square inches. The correct option is B.
More about the area of the sector link is given below.
https://brainly.com/question/7512468
#SPJ2
Which proportion could be used to determine if the figure ms represent a dilation
Step-by-step explanation:
Three-halves = 4 = 6
HOPE SO IT HELP'S YOU
Put the steps for deriving the formula for the arc length of a circle in the correct
order.
Write an explicit formula for the sequence.
-4,7,-10,13,-16
Step-by-step explanation:
Sequence is
4
,
7
,
10
,
13
,
16
,
.
.
.
a
1
=
4
,
a
2
=
7
,
a
3
=
10
,
.
.
.
If it is Arithmetic sequence,
a
2
−
a
1
=
a
3
−
a
2
=
a
4
−
a
3
& so on
In the given sum,
a
2
−
a
1
=
7
−
4
=
3
a
3
−
a
2
=
10
−
7
=
3
a
4
−
a
3
=
13
−
10
=
3
Since the difference between the successive terms is same and
hence
common difference
d
=
3
whats the distance between (-9, -6) and (-2, 2)
Hi! I'm happy to help!
To find the answer we first have to find the distance between the x and y values.
From the first point, we travel from the x point -9, to the x point, -2. This means that we traveled 7 units.
From the first point, we also travel from the first y point, -6, to the second y point, 2. This means we traveled 8 units.
From here we use the Pythagorean Theorem.
The Pythagorean Theorem says that: a²+b²=c²
We can use a and b (the 7 and 8 units we traveled) to find c (the distance between).
Let's insert our values.
7²+8²=49+64=113=c²
To find c, we need to find the square root of c².
√113
This is 10.6301..., if you want to round the the hundredth, or thousandth, your answer would be 10.63, rounding to the nearest tenth, it would be 10.6, and rounding to the nearest whole number would be 11.
I hope this was helpful, keep learning! :D
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 18
B. 13.2
C. 12.5
D. 7
First
[tex]\\ \sf\longmapsto BD^2=AD\times DC[/tex]
[tex]\\ \sf\longmapsto BD^2=18^2+7^2[/tex]
[tex]\\ \sf\longmapsto BD^2=324+49[/tex]
[tex]\\ \sf\longmapsto BD^2=363[/tex]
[tex]\\ \sf\longmapsto BD=\sqrt{363}[/tex]
[tex]\\ \sf\longmapsto BD=19.2[/tex]
Now
Using Pythagorean theorem
[tex]\\ \sf\longmapsto BD^2+CD^2=m^2[/tex]
[tex]\\ \sf\longmapsto m^2=7^2+19.2^2[/tex]
[tex]\\ \sf\longmapsto m^2=49+363[/tex]
[tex]\\ \sf\longmapsto m^2=412[/tex]
[tex]\\ \sf\longmapsto m=\sqrt{412}[/tex]
[tex]\\ \sf\longmapsto m=20.3[/tex]
Nearest value in options is 18
Hence option a is correct
If a teacher's guide to a popular SAT workbook is to be printed using a special type of paper, the guide must have at most 400 pages. If the publishing company charges 1 cent per page printed, what is the largest price, in dollars, that can be charged to print 20 copies of the workbook using the special paper?
Answer:
$80
Step-by-step explanation:
To find the largest price, assume that all 20 copies of the workbook will have 400 pages.
Since the company charges 1 cent per page, this means each workbook will cost 400 cents. This is equivalent to 4 dollars.
Find the total cost by multiplying this by 20:
20(4)
= 80
So, the largest price to print 20 copies is $80
3/4 + 20 (2/5 x 4/7)
Answer:
i believe the answer is 5.3
What is an equation of the line that passes through the points (-1, 6) and
(-1, -5)?
Answer:
x = -1
Step-by-step explanation:
Because the line passes through two points that both have the same x value, this means the line is vertical, and the slope is undefined.
So the equation of the line is x = -1.
find the value of x and y
Answer:
x=50 and y=80
Step-by-step explanation:
ATQ, x+50+y=180 and y+2x=180. x=50 and y=80
this question confuses me so much helpppppp
Answer:
-11°C or 1°C
Step-by-step explanation:
The question said that, by the noon, the temperature changes by 6°C, but it doesn't tell you if it changes for a hotter or colder temperature, so its possible the temperature at the noon to be:
-5 -6 = -11°C
or
-5 +6 = 1°C
To graph the possible temperatures, you have to draw a dot at the numbers -11 and 1
which table shows a proportional relationship between x and y?
Answer:
Table C
Step-by-step explanation:
For x and y to be proportional , then the values of
[tex]\frac{y}{x}[/tex] = constant k
Table B
[tex]\frac{y}{x}[/tex] = [tex]\frac{6}{3}[/tex] = 2
[tex]\frac{y}{x}[/tex] = [tex]\frac{24}{6}[/tex] = 4
[tex]\frac{y}{x}[/tex] = [tex]\frac{36}{9}[/tex] = 4
The values are not constant
Table C
[tex]\frac{y}{x}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{y}{x}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{y}{x}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex]
These values are constant
Then Table C shows a proportional relationship between x and y
Which Expression is equivalent to 3(x + 6)
18x
3x + 2
3x + 18
Answer:
3x+18
Step-by-step explanation:
since 3 is outside the bracket you need to multiply 3 by both x and 6. so 3 multiply x is 3x and 3 multiply 6 is 18, hence 3x+18
The quadrilaterals JKLM and PQRS are similar. Find the length x of SP
Answer:
4.8
Step-by-step explanation:
The scale factor is (3.6)/3=1.2. Hence x/4=1.2, x=4.8
Complete the table for the function
Answer:
C
Step-by-step explanation:
y(x) = x^(1/3)+7
y(-8)=(-8)^(1/3)+7=5
y(-1)=(-1)^(1/3)+7=6
y(1)=(1)^(1/3)+7=8
y(8)=(8)^(1/3)+7=9
What is the inverse of the equation y
31 – 2?
Answer:
The inverse is (x+2)/3
Step-by-step explanation:
y = 3x-2
To find the inverse, exchange x and y
x = 3y-2
Solve for y
Add 2 to each side
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
(x+2)/3 = 3y/3
(x+2)/3 = y
The inverse is (x+2)/3
explain develop spirit of hard work
look at the image below plz correct answers Surface area of cones 15 points
Answer:
[tex]A\approx 282.7\ m^2[/tex]
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.
2. Height of the cone
Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+5^2=13^2[/tex]
Simplify,
[tex]a^2+5^2=13^2[/tex]
[tex]a^2+25=169[/tex]
Inverse operations,
[tex]a^2+25=169[/tex]
[tex]a^2=144[/tex]
[tex]a=12[/tex]
[tex]h=12[/tex]
3. Find the surface area of the cone.
The following formula can be used to find the surface area of a cone:
[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]
Where ([tex]\pi[/tex]) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:
[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]
[tex]A=\pi 5(5+\sqrt{12^2+5^2})[/tex]
Simplify,
[tex]A=\pi 5(5+\sqrt{12^2+5^2})[/tex]
[tex]A=\pi 5(5+\sqrt{144+25})[/tex]
[tex]A=\pi 5(5+\sqrt{169})[/tex]
[tex]A=\pi 5(5+13)[/tex]
[tex]A=\pi 5(18)[/tex]
[tex]A=\pi 90[/tex]
[tex]A\approx 282.743[/tex]
Write true or false.
(I) Two intersecting lines can also be parallel.
(ii) Unlimited number of lines can be drawn through a point.
(iii) through two distinct points we can draw only one straight line.
(i) False. If two lines are parallel, then they never intersect.
(ii) True. We can draw infinitely many different lines through a single point. We can think of rotating a line around a single point to form a circular fan of lines.
(iii) True. Any line is defined uniquely by two distinct points.
Execute the following 18/3+2*8-5.
you start at (5,3) you move down 4 units and up 6 units. where do you end?
You end up at the point (5, 5).
What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y
y=mx+b is the general formula of linear equation
y=-2x+5+3x+2
y=1x+7
m=1
b=7
Linear equation given in the question is,
2 + 3x + 5 - 2x = y
To simplify this equation further,
Add like terms of the equation,(2 + 5) + (3x - 2x) = y
7 + x = y
Now compare this linear equation with the slope-intercept form of the linear equation,
y = mx + b
Here, m = slope of the line'
b = y-intercept
By comparing the equations,
m = 1
b = 7
Learn more,
https://brainly.com/question/15253236
(PLEASE HELP ITS URGENT)
What is the measure of angle x?
A) 60°
B) 30°
C) 45°
D) 90°
Answer:
B
Step-by-step explanation:
Reason...sum of angles in a triangle is equal to 180⁰
R+V+T=180⁰
60⁰+90⁰+x⁰=180⁰
150⁰+x⁰=180⁰
x⁰=180⁰-150⁰
:. x⁰=30⁰
===================================================
Explanation:
Ignore lines VS and SU. They're unnecessary clutter.
Triangle VRT is a right triangle with angles T = x, R = 60, V = 90
For any triangle, the angles must add to 180
T+R+V = 180
x+60+90 = 180
x+150 = 180
x = 180-150
x = 30
Or you could note that R+T = 90 Solves to T = 30 since triangle VRT is a right triangle. The rule with any right triangle is that the acute angles are always complementary (aka they add to 90 degrees).
