Find the x- and y-
intercepts of the graph of
3
the linear equation
4
+x=
11/21.
x-intercept:
y-intercept:
F41

-1/16 meters per minute is the rate of change of an edge.

So, the Volume of the cube: V = r³

Differentiate with respect to t (time) as follows:

dV/dt = -3 : Cubic meters per minute

Now, substitute the values:

Therefore, -1/16 meters per minute is the rate of change of an edge.

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The length and width of the piece of​ metal are 28 and 18 inches respectively.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Dimension of the rectangle;

Width(w)

Length,L= 10 + w

volume of the box = length  * width * height

Dimension of the box;

length of box, (x + 10) - 4  = x + 6

width of box,(x - 4)

height of box =  2

The volume of the box is 672 in³;

⇒V=lwh

⇒V=2 (x -4)( x + 6)

⇒672 in³ = 2x² + 4x - 48

⇒2x² + 4x - 720 = 0

⇒x^2  + 2x - 360 = 0

⇒(x +20)(x - 18) = 0

⇒x = 18

⇒x=-20 (value of the dimension will not be negative.

The width of an original piece of metal is;

Width,w=18 inches

length,l= 28 inches

Hence. the length and width of the piece of​ metal are 28 and 18 inches respectively.

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The fraction of the teacups that are either teal or red is 5/6.

Given:

Fraction of teal teacups = 1/6

Fraction of red teacups = 2/3

Fraction of the teacups are either teal or red = Fraction of teal teacups + Fraction of red teacups

= 1/6 + 2/3

= (1+4)/6

= 5/6

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Answer:

4 kids.

Step-by-step explanation:

There could be 2 boys and 2 girls. Each of the 2 boys has at least one sister, and each of the 2 girls has at least two brothers.

Hope this helps!

Answer:

1/16 squared meters

Step-by-step explanation:

The formula to find the area of a triangle is  [tex]\frac{Base * Height}{2}[/tex]

We can form an equation if we substitute the values (base and height).

[tex]\frac{1/2*1/4}{2}[/tex]

1/2 * 1/4 = 1/8

and [tex]\frac{1/8}{2}[/tex] = 1/16

Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.

Answer: 1/5

Step-by-step explanation:

Answer:

[tex]{ \sf{ \frac{1}{5} }} \\ [/tex]

Step-by-step explanation:

[tex]{ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ [/tex]

There are a total of 54 men.

Let's take x new men who joined the club, then according to the question (22-x) new women who joined the club.

[(98 × (5 ÷ 5 + 9)) + x ÷ [(98 × (9 ÷ 5 + 9)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[(98 × (5 ÷ 14)) + x ÷ [(98 × (9 ÷ 14)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[35 + x] ÷ [63 + (22 - x)] = 9 ÷ 11

11 × (35 + x) = 9 × (85 - x)

385 + 11x =  765 - 9x

11x + 9x = 765 - 385

20x = 380

x = 19.

Therefore, 19 new members have joined the club.

So, Step 10: 10 + (98 × (5 ÷ 5 + 9)) = 19 + 35 = 54.

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Answer:

19

Step-by-step explanation:

Originally there are 98 members

Ratio of men to women = M:W = M/W = 5/9

The ratio of men to total number of members = M/(M + W) and this should be the same as 5/(5+9) = 5/14

Since 5/14 th of the total membership of 98 members is the number of men,

Actual number of men

= 98 x (5/14)

= 35

After 22 members join the club, the total club membership is 98 + 22 = 120

The new ration M/W = 9/11

Actual number of men members

= 120 x 9/(9+11)

= 120 x 9/20

= 6 x 9

= 54

Increase in the membership of men = 54 - 35 = 19

Answer:

252

Step-by-step explanation:

Altogether, Luis, Dayja, and Michael read 279 pages.

We can get the total number of pages read by each person by building from the number of pages read by Dayja.

Dayja read 84 pages

Luis read 75% more pages than Dayja and this is equal to:

84 + 84 × 75/100

84 + 84 × 0.75

84 + 63

= 147 pages.

Dayja read 75% more pages than Michael.

Believing that Michael read x number of pages.

84 = 175 ÷ 100 × x

8400 = 175x

x = 8400/175

x = 48

So, Michael read 48 pages.

Altogether we will have, 84 + 48 + 147 pages.

= 279 pages.

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Answer:

Step-by-step explanation:

the answer and steps are down below to check it out have a wonderful wonderful day and  apologize if the answer is wrong

Answer:x+y=36

xy=256

x=256/y

256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

Answer:

Step-by-step explanation:

Answer: this bc well it decimals and those are kinda easy

3.09

The order of the numbers from least to greatest will be 97%, 1.74, 2 4/5, and 18/5.

I rewrite the numbers in equivalent forms, this was illustrated in decimals to make it easier.

From the information, the data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. This will be:

18/5 = 3.6

2 4/5 = 2.8

97% = 0.97

1.74

The arrangement will be 97%, 1.74, 2 4/5, and 18/5.

Therefore, it should be noted that rewriting then in decimal is important to effectively convey the information better.

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When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.

A percentage is what?

A percentage of 100 is represented as a number or ratio known as a percentage.

We've got

Take in a performance Attend a concert and a festival

Remain in state 214 and 186

Travel outside of state 391 and 59

The amount of groups planning to visit a state while attending a concert=214

The amount of groups planning to leave the state to attend a concert=391

The amount of groups planning to visit a state while attending a festival=186

The amount of groups planning to leave the state to attend a festival=59

The proportion of festival-goers that desire to travel outside of their state:

= Total number of groups from all four conditions/ Number of groups wishing to attend an event while remaining outside the state.

= 59 / ( 214 + 391 + 186 + 59 ) x 100

= 59 / 850 x 100

= 6.94%

Therefore, When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.

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Answer:

Step-by-step explanation:

Nice question!!! It should be ####. and that's the answer that you want

The surface area of the sphere to the nearest square foot is 2463 feet.

So, the surface area of the sphere:

Now, substitute the radius in the formula as follows:

Therefore, the surface area of the sphere to the nearest square foot is 2463 feet.

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Answer: 14.73091

Step-by-step explanation:

The square root of 217, (or root 217), is the number which when multiplied by itself gives the product as 217. Therefore, the square root of 217 = √217 = 14.730919862656235.

The value of y on the number line is 4.

A number line is a series of numbers placed on a straight line in order from least to greatest.

The number line is RT.

The point S is in between RT.

Therefore,

RT = RS + ST

Hence,

RT = 67

RS = 9y + 3

ST = 5y + 8

Therefore,

RT = RS + ST

67 = 9y + 3 + 5y + 8

67 = 9y + 5y + 11

67 = 14y + 11

subtract 11 from both sides of the equation

67 = 14y + 11

67 - 11 = 14y + 11 - 11

56 = 14y

divide both sides by 14

y = 56 / 14

Therefore,

y = 4

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Answer:

280 cm^3

Step-by-step explanation:

formula

1/2 * b * h * l

1/2 * 5 * 8 * 14

1/2 * 560

wikipedia

Answer:

it would cost $285

Step-by-step explanation:

Answer:

285 po answer

Step-by-step explanation:

Pa brainlest po plsss

The average speed of the car which travels 3.5 miles in 5 minutes is 42 miles per hour.

Speed is simply referred to as distance traveled per unit time. It is expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

First, we convert unit of the elapsed time from minutes to hours.

Time = 5 min = ( 5/60 )hr = 5/60hr

Now, plug the given values into the speed formula and solve for speed.

Speed = 3.5 ÷ 5/60

Speed = 3.5 × 60/5

Speed = 210/5

Average speed = 42 mph

Therefore, the average speed of the car 42 mph.

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Answer:

{-4, 0, 2, 5}

Step-by-step explanation:

The domain of a relation in a graph is a list of all the x values from the points plotted on it.

Therefore, we can take the coordinates of each point, and list all the x values. (You can't use the same number more than once)

Once you list all the x values, you put them in order from least to greatest, and then you're done! (make sure to use swirly brackets)

Good luck on your math journey! ^-^

Answer:

x = 2.579248

Step-by-step explanation:

x^2 - 9/x + 4 = 3 - (x - 3/x) + 4

a) Multiply both sides by x.

x^3 + 4x - 9/x = 6x + 3

b) Multiply both sides by x.

x^4 + 4x^2 - 9x = 6x^2 + 3x

x^4 + 4x^2 - 9x - (6x^2 + 3x) = 6x^2 + 3x - (6x^2 + 3x)

x^4 - 2x^2 - 12x = 0

x(x^3 - 2x - 12) = 0

x = 0 or x^3 - 2x - 12 = 0

x = 0 or 2.5792479999999998

Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

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Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1

drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. The number of people are invited in the reception are 104.

Given that,

drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. $3,500 has been set aside for their reception. If the prison's recreation center charges $70 for cleanup and $33 per person.

We have to determine how many guests they can invite while staying inside their budget.

The total budget of the party = $3500

Reception hall charges for clean up =$70

Extra fee per person =$33

Let us assume that the number of people are invited  in the reception are be x.

Given in the question the  be the clean up charge and $33  be fee per person.

We know,

The equation become

⇒ 70 +33x = 3500

33x = 3500-70

33x = 3430

x = 3430/33

x=104

Therefore, The number of people are invited in the reception are 104.

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Answer:

(a)  D = 72.05 dB  (2 d.p.)

(b)  I = 2.51 W/m²  (2 d.p.)

Step-by-step explanation:

Given function:

[tex]\boxed{D(I)=10 \log_{10}(I)+120, \quad I\geq 0}[/tex]

where:

Given:

Substitute the given value of I into the given function and solve for D:

[tex]\begin{aligned}\implies D(1.6 \times 10^{-5}) & =10 \log_{10}(1.6 \times 10^{-5})+120\\& = 10 \log_{10}(0.000016)+120\\& = 10 (-4.795880017)+120\\& = -47.95880017+120\\&=72.04119983\\&=72.04\; \sf dB\;(2\:d.p.)\end{aligned}[/tex]

Given:

Substitute the given value of D into the given function and solve for I:

[tex]\begin{aligned}\implies 124 & =10 \log_{10}(I)+120\\4 & =10 \log_{10}(I)\\10 \log_{10}(I)&=4\\\log_{10}(I)&=0.4\\10^{\log_{10}(I)}&=10^{0.4\\I&=2.511886432\\I&=2.51\; \sf W/m^2\; (2\:d.p.)\end{aligned}[/tex]

6x+26x-10=8(4x+10) quadratic equation has no solution.

First, Simplify the equation:

6x + 26x + (-10) = 8(4x + 10)

Now, reorder the terms:

(-10) + 6x + 26x = 8(4x + 10)

Combine the like terms:

6x + 26x = 32x

-10 + 32x = 8(4x + 10)

Then, reorder the terms:

-10 + 32x = 8(10 + 4x)

-10 + 32x = (10 × 8 + 4x × 8)

-10 + 32x = (80 + 32x)

Add '-32x' to each side of the equation.

-10 + 32x + -32x = 80 + 32x + -32x

Again, Combine like terms:

32x + -32x = 0

-10 + 0 = 80 + 32x + -32x

-10 = 80 + 32x + -32x

Repetitively, Combine like terms:

32x + -32x = 0

-10 = 80 + 0

-10 = 80

After Solving,

-10 = 80

Thus, there is no further variable to solve.

∴ This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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Answer:

3

Step-by-step explanation:

Question:Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost? 

first family bout 5 PRETZELS  and 4 SODAS and the second family bought 6 PRETZELS and 6 SODAS
So immanently 5 is wrong because that would be too much and not fit the amount that the families spent
4 is also incorrect because the price is not reasonable it’s to high and out of budget for both of the families

3 is the only right answer also 2 is wrong (wrote this in rush)