Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
Answer:
Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
got it right on the quiz!!!
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
For the equation y=2x + 6, find the value of y when
(a) x= 0 (b) x= 1
(c) x=2 (d) x=3
WITH CALCULATION AND EXPLANATION PLEASE.FULL CALCULATION
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \mathrm{ \underbrace{Answer}}[/tex]
The given equation is :
[tex] \huge \boxed{ y = 2x + 6 }[/tex]
Now, let's solve for each value of "x"
[tex]\mathrm {\hookrightarrow \:1. \: \: when \: \: x = 0}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 0) + 6[/tex][tex]y = 6[/tex][tex]\mathrm{\hookrightarrow 2.\: \: when \: \: x = 1}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 1) + 6[/tex][tex]y = 2 + 6[/tex][tex]y = 8[/tex][tex]\mathrm {\hookrightarrow \: 3. \: \: when \: \: x = 2}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 2) + 6[/tex][tex]y = 4 + 6[/tex][tex]y = 10[/tex][tex]\mathrm{\hookrightarrow \: 4. \: \: when \: \: x = 3}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 3) + 6[/tex][tex]y = 6 + 6[/tex][tex]y = 12[/tex][tex] \mathrm{✌TeeNForeveR✌}[/tex]
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Equation = [tex]\large\bold{y = 2x + 6}[/tex]
a) [tex]x = 0[/tex]
Substitute the value of x as 0 in the equation.
[tex]y = 2x + 6 \\ y = 2(0) + 6 \\ y = 0 + 6 \\ y = 6[/tex]
✐ Answer of a) is [tex]\large\bold{y = 6}[/tex]
____________________
b) [tex]x = 1[/tex]
Substitute the value of x as 1 in the equation.
[tex]y = 2x + 6 \\ y = 2(1) + 6 \\ y = 2 + 6 \\ y = 8[/tex]
✐ Answer of b) is [tex]\large\bold{y = 8}[/tex]
____________________
c) [tex]x = 2[/tex]
Substitute the value of x as 2 in the equation.
[tex]y = 2x + 6 \\ y = 2(2) + 6 \\ y = 4 + 6 \\ y = 10[/tex]
✐ Answer of b) is [tex]\large\bold{y = 10}[/tex]
____________________
d) [tex]x = 3[/tex]
Substitute the value of x as 3 in the equation.
[tex]y = 2x + 6 \\ y = 2(3) + 6 \\ y = 6 + 6 \\ y = 12[/tex]
✐ Answer of d) is [tex]\large\bold{y = 12}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What is the constant of proportionality in the equation StartFraction x over y EndFraction StartFraction 2 over 9 EndFraction?
StartFraction 2 over 9 EndFraction
2
StartFraction 9 over 2 EndFraction
9
Given:
The equation is:
[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]
To find:
The constant of proportionality.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have,
[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]
On cross multiplication, we get
[tex]9x=2y[/tex]
Divide both sides by 2.
[tex]\dfrac{9}{2}x=y[/tex]
Interchange the sides.
[tex]y=\dfrac{9}{2}x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=\dfrac{9}{2}[/tex]
The constant of proportionality is [tex]\dfrac{9}{2}[/tex]. Therefore, the correct option is B.
If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4
Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]________
#LetsStudy
Select elther relation (If the set is a relation but not a function), function (If the set is both a relation and a function), or
neither (If the set is not a relation).
F=[(x, y) |x+y=10)
A. neither
B. Function
C. Relation
Answer:
B
Step-by-step explanation:
The given set F=[(x, y) |x+y=10) is a function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The set F represents a relation since it contains ordered pairs of elements. Specifically, it contains all pairs (x, y) such that x+y=10.
For example, (2, 8) and (5, 5) are elements of F since 2+8=10 and 5+5=10.
However, it is not necessarily a function since it is possible for two different x values to have the same y value, which would violate the vertical line test for functions.
For example, both (2, 8) and (8, 2) are in F since 2+8=10 and 8+2=10.
Hence, the given set F=[(x, y) |x+y=10) is a function.
To learn more on Functions click:
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It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can leave to drive to work and arrive by 9:00 am
The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Answer:
The volume of the cylinder is defined by the expression .
[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]
The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Now , the radius of the cylinder is r = ( x + 8 ) units
The height of the cylinder is h = ( 2x + 3 ) units
And , Volume of Cylinder = πr²h
On simplifying , we get
The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³
The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )
The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³
Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³
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Your throw your ball into a air from height of 4.2
Fine the area of a circle with radius 8 in.
Answer:
around 200.96
Step-by-step explanation:
circle area = pir^2
pi*8^2
pi*64
=around 200.96
!!!!!!!!!PLEASE HELP!!!!!!!!
Complete the equation of the line through (-8,-2)(-4,6)
use exact numbers
Answer:
y = 2x + 14
Step-by-step explanation:
Hope this helps!!!
First, you have to find the slope by using
In other words,
The slope is 2.
Then you plug the rest into point-slope form (you can use either of the points, I used the first one)
Remember that m is the slope.
Distribute the slope to the parenthesis
Isolate the y variable
Answer:
2x+14
Step-by-step explanation:
you can use the expression 5n to determine the amount of money you have in cents, when you have n nickels. Find the amount of money you have, in cents, when you have 18 nickels
Answer:
90 cents
Step-by-step explanation:
Find how much money you have by plugging in 18 as n into the expression:
5n
5(18)
Multiply:
= 90
So, when you have 18 nickels, you have 90 cents
What are the values of m and in the diagram below?
Engineers speculate that W, the amount of weight (in units of 1000 pounds) that a certain span of a bridge can withstand without structural damage resulting, is normally distributed with mean 400 and standard deviation 40. Suppose that the weight (again, in units of 1000 pounds) of a car is a random variable with mean 3 and standard deviation.3. Approximately how many cars would have to be on the bridge span for the probability of structural damage to exceed .1?
A. 106
B. 123
C. 120
D. 115
E. 117
Answer:
n = 116.2 ≈ 117
Option E) 117 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Exceed = 0.1
{ 1 - 0.1 = 0.9 }
normal table value at 0.9 = - 1.285
Normal table;
hence
( y - 400 ) / 40 = -1.285
y - 400 = -51.4
y = 400 - 51.4
y = 348.6
so,
348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]
348.6 = n.∈( X[tex]_i[/tex] )
we substitute
348.6 = n × 3
n = 348.6 / 3
n = 116.2 ≈ 117 { roundup since we talking of number of cars i.e sample size }
Option E) 117 is the correct answer.
Compute the volume of the following composite solid
=======================================================
There are a few ways to do this.
One way is to slice horizontally to break up the L shape into two separate rectangular blocks. Refer to the diagram below to see what I mean.
The block on top has length 80-60 = 20 mm (horizontal), width 10 mm, and height 40 mm.
The volume of this block on top is L*W*H = 20*10*40 = 8000 mm^3, where mm^3 means "cubic millimeters"
The block down below has a length of 80 mm, width of 10 mm, and height of 60-40 = 20 mm (vertical). Its volume is L*W*H = 80*10*20 = 16000 mm^3
Add up the two volumes to get the overall volume: 8000+16000 = 24000 mm^3
---------------------
Another approach you could take is to do a vertical slice to form two separate blocks. You would follow similar steps mentioned in the section above to find the two volumes, and add up the smaller pieces.
Yet another way to find the answer is to find the area of the L shape, and then multiply that by the depth of 10 mm.
Help is needed please
Answer:
A
Step-by-step explanation:
Hope this helps!
Where would the last point need to be in order to finish graphing a square using the points (1, 3), (5, 3), and (5, 7)?
A. (1, 5)
B.(5, 1)
C.(3, 7)
D.(1, 7)
At a football game, the ratio of men to women is 4:1 There are 9,000 people in total, and each ticket costs £10 Calculate the amount of money made from tickets sold to men. Remember to include units ( £ ) in your answer.
Answer:
£72000
Step-by-step explanation:
According to the Question,
Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in totalThus, 5 ⇒ 9000 People
So, 4 ⇒ 7200 People(Men)
1 ⇒ 1800 People(Women)
And, each ticket costs £10Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.
Does anyone know if this is correct if not please let me know the answer
Answer:
The answer is negative, the one you chose in the picture.
Step-by-step explanation:
Positive slope would be going upwards.
Negative slope would be going downwards.
Slopes that are zero would be horizontal.
Slopes that are undefined would be vertical.
So, the reason why the slope is negative is that the line is going downhill.
Hope this is helpful
What are the answers to this someone please help.
1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!
Can someone please help ?!thank you !
Answer:
72
Step-by-step explanation:
67+5= 72
What number is three times larger than 3×10 exponent
4 on top of the ten
a mailbox is 55 inches tall and casts a shadow that is 70 inches long. a nearby flagpole casts a shadow that is 196 inches long. how tall is the flagpole?
Answer:
154 inches tall.
Step-by-step explanation:
In this scenario, the sun's angle is the same for both objects. Since we have three values and 1 variable (height of the pole) we can use the Rule of Three to solve this. In this, we simply multiply the diagonal values of the ratios and divide by the third value to get the value of the variable like so...
55 in. <=====> 70 in.
x <=========> 196 in.
(55 * 196) / 70 = x
10,780 / 70 = x
154 in. = x
Finally, we can see that the flagpole is 154 inches tall.
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
Answer:
below
Step-by-step explanation:
that is the procedure above
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]
Combining like terms, we have
[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Which of the following is a logical conclusion based on the two statements below? If Jake forgets his snack, then he will be hungry at school. Jake forgot his snack. A. Jake was not hungry at school. B. Jake ate his snack. C. Jake also missed breakfast. D. Jake was hungry at school.
Answer:
I believe that the answer is either C or D
Step-by-step explanation:
Jake forgot his snack, which could mean that he was hungry at school. But it could be logical to assume that he forgot his breakfast. I may be wrong in both cases, but these are my best guesses!
A shadow of a gurl standing in the sun is 110 cm long whereas the shadow of a 30cm ruler is 20 cm long how tall is Sierra?
Answer:
165 cm
Step-by-step explanation:
We solve using the rule
Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl
Shadow of ruler = 20cm
Length of ruler = 30cm
Shadow of the girl = 110cm
Length of the girl = x
Hence:
20/30 = 110/x
Cross Multiply
20x = 30 × 110
x = 30 × 110/20
x = 165 cm
Therefore, Sierra(the girl) is 165cm tall
What is the average rate of change of f over the interval [3,4]?
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4
what is the value of 642/3?
Step-by-step explanation:
[tex] \frac{642}{3} \\ [/tex]
= 214Answer:
[tex]214[/tex]
Step-by-step explanation:
[tex] \frac{642}{3} [/tex][tex] = 642 \div 3 \\ = 214[/tex]
Hope it is helpful...Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:The answer is B
Step-by-step explanation: