Select the correct answer. if f(x) = ​

Answer:

it will float!

Step-by-step explanation:

in order to find density, you must divide the mass by the volume. the volume is 56 ml, and the mass is 45.5. (45.5 / 56 = 0.8125) because we know the density of water is 1, and the density of this liquid is less than that of water, it will float because it is "lighter". hope it helped <33

Step-by-step explanation:

answer is you're question

Answer:

89.5

Step-by-step explanation:

59.5

30.0

89.5

Answer:

1) The length of the arc AB is approximately 21.99 cm

2) The perimeter of the figure is approximately 49.99 cm

3) The area of the figure is approximately 153.938 cm²

4) The area of the right triangle ΔAOB is 98 cm²

5) The area of the shaded segment is approximately 55.938 cm²

Step-by-step explanation:

The given parameters are;

The radius of the circle from which we have the quarter circle, r = 14 cm

Therefore, we have;

The length of segment OA = The length of segment OB = r = 14 cm

1) The length of the arc AB = 1/4 × The circumference of the circle with radius 14 cm and center O

The length of the arc AB = 1/4 × 2 × π × r = 1/4 × 2 × π × 14 c m= 7·π cm ≈ 21.99 cm which is approximately 22 cm, to the nearest whole number

2) The perimeter of the figure = The length of the arc AB + The length of segment OA + The length of segment OB

∴ The perimeter of the figure = 7·π cm + 14 cm + 14 cm ≈ 49.99 cm which is approximately 50 cm, to the nearest whole number

3) The area of the figure (sector AOB) = The area of the quarter of a circle = π × r²/4 = π × (14 cm)²/4 = 49·π cm² ≈ 153.938 cm²

4) Whereby we have arc AB and segment OA and OB form a quarter (1/4) of a circle, we have;

∠AOB = 360°/4 = 90°

Therefore, ΔAOB is a right triangle

The base length of the right triangle ΔAOB (is taken as being) = Segment OA = 14 cm

The height of the right triangle ΔAOB (is taken as being) = Segment OA = 14 cm

The area of the right triangle ΔAOB = 1/2 × The base length × The height

∴ The area of the right triangle ΔAOB = 1/2 × 14 cm × 14 cm = 98 cm²

The area of the right triangle ΔAOB = 98 cm²

5) The area of the shaded segment = The area of the quarter of a circle (Sector OAB) - The area of the triangle ΔAOB

The area of the quarter of a circle = 49·π cm² ≈ 153.938 cm²

∴ The area of the shaded segment = 49·π cm² - 98 cm² ≈ 55.938 cm²

The area of the shaded segment ≈ 55.938 cm²

The area of the shaded segment is approximately 55.938 square centimeters.

The length of the arc AB is approximately 21.991 centimeters.

The perimeter of the figure is approximately 49.991 centimeters.

The area of triangle AOB is 98 square centimeters.

The area of the circle segment is approximately 153.938 square centimeters.

The area of the shaded segment ([tex]A[/tex]), in square centimeters, is obtained by subtracting the area of the triangle from the area of the circle quarter, that is:

[tex]A = \frac{\pi\cdot r^{2}}{4}-\frac{1}{2}\cdot \left(\frac{\sqrt{2}}{2}\cdot r \right)\cdot \left(\sqrt{2}\cdot r\right)[/tex]

[tex]A = \frac{\pi\cdot r^{2}}{4}-\frac{1}{2}\cdot r^{2}[/tex]

[tex]A = \left(\frac{\pi}{4}-\frac{1}{2} \right)\cdot r^{2}[/tex] (1)

If we know that [tex]r = 14\,cm[/tex], then the area of the shaded segment is:

[tex]A = \left(\frac{\pi}{4}-\frac{1}{2} \right)\cdot (14\,cm)^{2}[/tex]

[tex]A \approx 55.938\,cm^{2}[/tex]

Where [tex]r[/tex] is the radius of the circle segment, in centimeters.

The area of the shaded segment is approximately 55.938 square centimeters. [tex]\blacksquare[/tex]

The length of the arc AB ([tex]s[/tex]) is determined by definition of circular arc:

[tex]s = \frac{\pi}{2} \cdot r[/tex] (2)

If we know that [tex]r = 14\,cm[/tex], then the length of the arc AB is:

[tex]s = \frac{\pi}{2} \cdot (14\,cm)[/tex]

[tex]s \approx 21.991\,cm[/tex]

The length of the arc AB is approximately 21.991 centimeters. [tex]\blacksquare[/tex]

The perimeter of the figure ([tex]p[/tex]), in centimeters, is the sum of the arc AB and the two legs of the right triangle, that is:

[tex]p = \frac{\pi}{2}\cdot r + 2\cdot r[/tex]

[tex]p = \left(\frac{\pi}{2} + 2 \right)\cdot r[/tex] (3)

If we know that [tex]r = 14\,cm[/tex], then the perimeter of the figure is:

[tex]p = \left(\frac{\pi}{2} + 2 \right)\cdot (14\,cm)[/tex]

[tex]p \approx 49.991\,cm[/tex]

The perimeter of the figure is approximately 49.991 centimeters. [tex]\blacksquare[/tex]

The area of the triangle ([tex]A[/tex]) was used in the first part of this question and we proceed to extract it below:

[tex]A = \frac{1}{2}\cdot r^{2}[/tex] (4)

If we know that [tex]r = 14\,cm[/tex], then the area of the triangle AOB is:

[tex]A = \frac{1}{2}\cdot (14\,cm)^{2}[/tex]

[tex]A = 98\,cm^{2}[/tex]

The area of triangle AOB is 98 square centimeters. [tex]\blacksquare[/tex]

The area of the circle segment ([tex]A[/tex]) was used in the first part of this question and we proceed to extract it below:

[tex]A = \frac{\pi\cdot r^{2}}{4}[/tex] (5)

If we know that [tex]r = 14\,cm[/tex], then the area of the circle segment is:

[tex]A = \frac{\pi\cdot (14\,cm)^{2}}{4}[/tex]

[tex]A \approx 153.938\,cm^{2}[/tex]

The area of the circle segment is approximately 153.938 square centimeters. [tex]\blacksquare[/tex]

To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983

Answer:

Trey lives 384 feet.

Step-by-step explanation:

Let the average rate be represented by s, and the distance by d.

speed = [tex]\frac{distance}{time}[/tex]

⇒ distance = speed x time

i.e d = s x t

On his first trip,

d = s x 8

d = 8s ............ 1

on his trip home, the average rate was 16 miles per hour faster, so that;

d = (s + 16) x 6

d = 6s + 96 ............ 2

Equation 1 and 2, we have;

8s = 6s + 96

8s - 6s = 96

2s = 96

s = 48

The average rate is 48 miles per hour.

Thus from equation 1 (also equation 2 can be used),

d = 48 x 8

  = 384

Therefore, Trey lives 384 feet from the mountains.

Answer:

14 and 5

Step-by-step explanation:

the range is 5 and the domane is 14

Answer:

The answer is C

Step-by-step explanation:

This is right because that's what I did

From the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

The 3 lines are shown in the image attached below.

In the diagram, there are two linear pairs that are formed, they are:

Therefore, from the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

Learn more about linear pair on:

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Answer:

Slope is -2/5 and y-intercept is -1/3

Step-by-step explanation:

To get the slope, we pick any two points and apply the slope formula

The slope formula is;

m = (y2-y1)/(x2-x1)

To get the slope, we select any two points

That will be;

(-3/4, -1/30) and (1/4,-13/30)

Substituting these in the slope formula, we have:

m = (-13/30 + 1/30)/(1/4 + 3/4)

m = 12/30 = -2/5

Generally, the equation of a straight line is;

y = mx + b

m is slope and b is the y-intercept

We already have the slope, to get the y-intercept, we select any of the points

-3/5 = -2/5(2/3) + b

= -3/5 + 4/15 = b

b = (-9 + 4)/15 = -5/15 = -1/3

Slope is -2/5 and y-intercept is -1/3

Answer:

A

Step-by-step explanation:

The slope is -2/5, and the y-intercept is -1/3.

Answer: A

Step-by-step explanation:

Answer:

34 is the asnwer congruent thats why.

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Given that:

Fiona, Peter and Angad share some sweets in the ratio 5:4:3. Fiona gets 22 more

sweets than Angad. How many sweets does Peter get?

5 : 4 : 3

Total ratio = (5 + 4 + 3) = 12

Let total number of sweets = x

For Fiona :

(5 / 12) * x = 5x / 12

Peter :

(4 / 12) * x = 4x / 12

Angad:

(3 / 12) * x = 3x / 12

Sunce, Fiona gets 22 more Than Angad ;

Then;

5x / 12 = 22 + 3x /12

5x/12 = 22 + 3x/12

5x/12 - 3x/12 = 22

(5x - 3x) / 12 = 22

2x / 12 = 22

2x = 22 * 12

2x = 264

x = 132

Hence, total number of sweets = 132

Peter's share = (4x / 12) = (4 * 132) / 12 = 528/12 = 44

Peter got 44 sweets

I believe it would be 60, 60 is the only multiple for 6.

Answer:

8 hours

Step-by-step explanation:

In the problem, it gives you the formula: d=rt, and in the rest of the problem it gives you the distance and the rate, so all you have to do is plug the numbers in and solve.

360m = 45mph(t)

Isolate the variable by dividing 360 by 45

360/45 = t

8 = t

This means that it will take 8 hours to travel 360 miles at a rate of 45 miles per hour.

Hope this helps :)

Final Answer: [tex]x = \frac{5y}{3}[/tex], [tex]y = 15[/tex]

Steps/Reasons/Explanation:

Question: [tex]\frac{x}{5} = \frac{y}{3}[/tex] and [tex]\frac{12}{y} = \frac{4}{5}[/tex]. What does [tex]x[/tex] equal and what does [tex]y[/tex] equal and how?

Solving for [tex]x[/tex] in the equation [tex]\frac{x}{5} = \frac{y}{3}[/tex].

Step 1: Multiply both sides by [tex]5[/tex].

[tex]x = \frac{y}{3} * 5[/tex]

Step 2: Simplify [tex]\frac{y}{3} * 5[/tex] to [tex]\frac{y * 5}{3}[/tex].

[tex]x = \frac{y * 5}{3}[/tex]

Step 3: Regroup terms.

[tex]x = \frac{5y}{3}[/tex]

Solving for [tex]y[/tex] in the equation [tex]\frac{12}{y} = \frac{4}{5}[/tex].

Step 1: Multiply both sides by [tex]y[/tex].

[tex]12 = \frac{4}{5}y[/tex]

Step 2: Simplify [tex]\frac{4}{5}y[/tex] to [tex]\frac{4y}{5}[/tex].

[tex]12 = \frac{4y}{5}[/tex]

Step 3: Multiply both sides by [tex]5[/tex].

[tex]12 * 5 = 4y[/tex]

Step 4: Simplify [tex]12 * 5[/tex] to [tex]60[/tex].

[tex]60 = 4y[/tex]

Step 5: Divide both sides by [tex]4[/tex].

[tex]\frac{60}{4} = y[/tex]

Step 6: Simplify [tex]\frac{60}{4}[/tex] to [tex]15[/tex].

[tex]15 = y[/tex]

Step 7: Switch sides.

[tex]y = 15[/tex]

~I hope I helped you :)~

Given:

[tex]0.5(4x-8)+11=0.25(12x+20)-5[/tex]

To find:

The value of x.

Solution:

We have,

[tex]0.5(4x-8)+11=0.25(12x+20)-5[/tex]

Using distributive property, we get

[tex]0.5(4x)+0.5(-8)+11=0.25(12x)+0.25(20)-5[/tex]

[tex]2x-4+11=3x+5-5[/tex]

[tex]2x+7=3x[/tex]

Subtract 2x from both sides.

[tex]7=3x-2x[/tex]

[tex]7=x[/tex]

Therefore, the value of x is 7.

Answer:

x = -4,  y = 3/2

Step-by-step explanation:

simplify the 1st equation by dividing each term by 4 to get:

x + 2y = -1

-5x + 2y = 23

Subtract to get: 6x = -24

x = -4

find 'y':    2y - 5(-4) = 23

               2y + 20 = 23

               2y = 3

                y = 3/2

Answer:

y is equal to 1.5, and x is equal to -4

Step-by-step explanation:

given:

[tex]4x + 8y = -4[/tex]

[tex]2y - 5x = 23[/tex]

We can start by factoring 4 out of the first equation:

[tex]x + 2y = -1[/tex]

Now let's multiply it by -5:

[tex]-5x - 10y = 5[/tex]

We'll rearrange the other equation to match that (just for clarity):

[tex]-5x + 2y = 23[/tex]

Now let's subtract the modified equation from that:

[tex]\begin{array}{c}-5x + 2y = 23\\-5x - 10y = 5\\ \ \ \ \ \ \ \ \ \ \ 12y = 18\end{array}[/tex]

So y is equal to 18/12, or 1.5

Let's plug that into one of the first equations and see what we get:

[tex]2y - 5x = 23\\2(1.5) - 5x = 23\\3 - 5x = 23\\-5x = 20\\x = -4[/tex]

Giving us an x value of negative four.  Let's plug that into the other equation to confirm:

[tex]4x + 8y = -4\\4(-4) + 8y = -4\\-16 + 8y = -4\\-4 + 2y = -1\\2y = 3\\y = 1.5[/tex]

That matches up, so our answer is correct.

total number of marbles= 5+2+3+5 = 15 marbles

probability of a red marble - 2/15

probability of yellow marble - 5/15 = 1/3

Answer:

i) 2/15 ii) 1/3

Step-by-step explanation:

the number of marbles all together is 15

2 out of the 15 are red, so 2/15

5 out of 15 are yellow,so 5/15, simplified to 1/3

Answer:

6

Step-by-step explanation:

Hope it can help you.........

Answer:

y= -1/3x-4

y=2x+2

Step-by-step explanation:

the slope is rise over run

Answer:

The girl was 144cm tall

Step-by-step explanation:

Total height of the three boys=3×156=468

Total height of the four children=4×153=612

Height of the girl=612-468=144cm

The average height of 3 boys was 156cm. Therefore, The girl was 144cm tall.

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

The average height of 3 boys was 156cm.

When a girl joined them, the average height of the 4 children was 153cm.

Total height of the three boys = 3 × 156 = 468

Total height of the four children = 4 × 153 = 612

Height of the girl  = 612 - 468 = 144cm

Hence, the girl was 144cm tall.

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Answer: The answer is X= 9    Hope this helps :)  Please mark Brainliest

Step-by-step explanation:

Answer:  They spent $100 on ice cream.

Step-by-step explanation:

Given : Total friends  = 5

They bought each $24 worth of toppings.

Total price of toppings = (Total friends ) x (Worth of each topping)

= 5 x ($24)

= $ 120

Total expense = $220

Money amount on ice cream = (Total expense) - (Total price of toppings)

= $220 - $120

= $100

Hence, they spent $100 on ice cream.

Answer:

C. [tex]\sqrt{18}[/tex]

Step-by-step explanation:

[tex]\frac{4\pi }{\pi }[/tex] = 4(whole number)

[tex]\sqrt{ 6^{2}}[/tex] = 6(whole number)

[tex]\sqrt{18}[/tex] = 4.2426406871192851464050661726291(goes on and on)

21.989(terminating number)

Irrational numbers are un-whole numbers that do not terminate and cannot be turned into a fraction.

The irrational number number in the options is C. √18.

Rational numbers are numbers which can be written in the form of a/b, b ≠ 0, and a and b are integers.

Irrational numbers cannot be written in this form.

Given options are 4π/π, √(6²), √18 and 21.989.

4π/π can be written as 4, which is a whole number and thus a rational number.

So, 4π/π is a rational number.

√(6²) = 6, which is also a rational number since it is a whole number.

√18 does not have a decimal which is ending.

So it is an irrational number.

21.989 has only 3 decimal places and can be written as 21989/1000 and is thus a rational number.

Hence the correct option is C.

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Answer:

Mind if ya brainiest meh

Step-by-step explanation:

The volume of the hemisphere is 1071.78 ft^3

Answer:

3a = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

Given

2a + 4b = 5 ← substitute a = 3b into the equation

2(3b) + 4b = 5

6b + 4b = 5

10b = 5 ( divide both sides by 10 )

b = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

Now

a = 3b = 3 × [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] , thus

3a = 3 × [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{2}[/tex]

Answer:

The value of 3a = 9/2

Step-by-step explanation:

Given the expression

[tex]2a+4b=5[/tex]

Given that a is equal to three times b. so,

[tex]a = 3b[/tex]

plug in a = 3b in the expression

[tex]2a+4b=5[/tex]

[tex]2(3b) + 4b = 5[/tex]

[tex]6b+4b = 5[/tex]

Adding like terms: 6b+4b = 10b

[tex]10b = 5[/tex]

Dividing both sides by 10

[tex]\frac{10b}{10}=\frac{5}{10}[/tex]

simplify

[tex]b=\frac{1}{2}[/tex]

so

a = 3b ⇒ a = 3(1/2) = 3/2

Therefore, the value of 3a can be determined by substituting a = 3/2 in 3a.

3a = 3(3/2) = 9/2

Therefore, the value of 3a = 9/2

Answer:

Step-by-step explanation:

Like terms: 10y, -2y, 3x, and x

These are all like terms since they have a similar variable

Simplifying the expressions:

10y + 3x + 10 + x -2y = [(10y + -2y) + (3x + x)] + 10

= 8y +  4x + 10

Like terms: 3x, 4x, y, and -2y

Same as first explanation, terms have a similar variable

3x - y + 4x + 6 - 2y = (3x + 4x) + (-2y - y) + 6

= -3y + 7x + 6

Hope I helped :)

Answer:

6.26666666667, your welcome :)

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

Answer:

Thus, the value of x = -36 when y = 15

Step-by-step explanation:

We know that if y varies directly with x, we can express the relationship such as

y ∝ x

y = kx

k = y/x

where 'k' is called constant of variation.

Given

y = -5

x = 12

Using the equation

k = y/x = -5/12

Thus, the value of k = -5/12

Finding x when y = 15

y = 15

k = -5/12

substituting y = 15 and k = -5/12 in the equation

y = kx

15 = -5/12 (x)

15×12 = -5x

180 = -5x

divding both sides by -5

-5x/-5 = 180/-5

x = -36

Thus, the value of x = -36 when y = 15

Answer:

32 words per minute