Simplify the radical 80

Answer:

1.5

Step-by-step explanation:

divide 1/2 and add 1

[tex]A = 100\pi cm^{2}[/tex]

Step-by-step explanation:

Given that an engineer is planning to install a new water pipe.

The diameter of the circular pipe is

d = 20 cm

Let us find the radius (r)

radius = diameter / 2

r = 20 / 2 = 10 cm

The area of circle (A) is given as:

[tex]A = \pi r^{2}[/tex]

[tex]A = \pi 10^{2}[/tex]

[tex]A = 100\pi cm^{2}[/tex]

Answer:

y + 4 ≥ 25

if y is increased by 4 and is at least 25

Answer:

Option B

Step-by-step explanation:

The function in the graph is an exponential growth function.

Therefore its equation is [tex]g(x)=3^x[/tex]

A transformation that shrinks this graph is of the form: [tex]f(x)=k*3^x[/tex] where [tex]0\:<\:k\:<\:1[/tex]

From the given options, we must have [tex]k=\frac{1}{2}[/tex]

This implies that:

[tex]f(x)=\frac{1}{2} (3)^x[/tex]

Answer:

B

Step-by-step explanation:

Answer: v = 2

Step-by-step explanation:

30-48v+12 = -54

-48v = -54-30-12

[tex]\frac{-48v}{-48}[/tex] = [tex]\frac{-96}{-48}[/tex]

v = 2

Answer:

2

Step-by-step explanation:

6(5−8v)+12=−54

Divide through by 6, we have

5 — 8v + 2 = — 9

Collect like terms

— 8v = —9 — 2 — 5

—8v = — 16

Divide both side by the coefficient of v i.e —8

v = — 16/ —8

v = 2

Answer:the answer is B

Step-by-step explanation:

The function that represents the exponential growth is

f(x) = 4 x [tex]1.05^n[/tex].

Option B is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

An exponential growth function.

Rate of change = 5%

This means,

There is a growth per year of 5%.

The function can be represented as,

f(x) = a [tex](1 +0.05)^n[/tex]

f(x) = a x [tex]1.05^n[/tex]

Where 100% = 1 and 5% = 0.05

Let a = 4

f(x) = 4 x [tex]1.05^n[/tex]

Thus,

The exponential growth function is

f(x) = 4 x [tex]1.05^n[/tex]

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Answer:

∠A = 45°

Step-by-step explanation:

The sum of angles in a triangle = 180°.

That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.

Given ∠B = 90° and ∠C = 45°.

⇒ ∠A + 90° + 45° = 180°

⇒ ∠A = 180 - 90 - 45

⇒ ∠A = 45° is the required answer.

Answer:

The cross section would be a square.

Step-by-step explanation:

The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section would be perpendicular to the rectangles, making the cross section a square. The cross section would be parallel to the end squares.

Answer:

5 years = 89,940

10 years = 107, 856

Step-by-step explanation:

75000 * 1.037 ^ 5 for the 5 years one

Then do the answer (89940) and times by 1.037 ^ 5. For 10 years

You do it to the power of 5 because you are adding on another 5 years

Answer:

C. and A.

Step-by-step explanation:

4. 5(x + 3) - 2x

5x + 15 - 2x

3x + 15

5. -6x + 2.5(x - 1) - 5x

-6x + 2.5x - 2.5 - 5x

-8.5x - 2.5

Final answer:

To find the new temperature of the soup after cooling for 25 minutes, multiply the rate of decrease, 2.3 F/min, by 25 minutes to find the total decrease in temperature, which is 57.5 F. Then subtract this from the initial temperature of 192.7 F to get the final temperature of 135.2 F.

Explanation:

The question is about calculating the new temperature of chicken soup after it cools for a certain period. The initial temperature of the soup is 192.7 F, and it's stated that the soup temperature decreases by 2.3 degrees per minute. Since it's asking for the temperature after 25 minutes, we need to multiply the rate of cooling by the number of minutes.

To calculate the new temperature:
Decrease in temperature = 2.3 F/min × 25 min = 57.5 F

The new temperature would then be:
Initial temperature - Decrease in temperature = 192.7 F - 57.5 F = 135.2 F.

Problem Solving Strategies for the Effects of Heat Transfer

Although the question does not require complex problem-solving strategies involving specific heat capacity or mass of the substance, it does simulate a simplified version of heat transfer where we only consider the overall change in temperature over time.

Answer:

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16.

Step-by-step explanation:

Let an exponential growth function is given by [tex]f(x) = a(b)^{x}[/tex]

So, [tex]f(1) = a(b)^{1}[/tex], [tex]f(2) = a(b)^{2}[/tex], [tex]f(x) = a(b)^{3}[/tex] and [tex]f(4) = a(b)^{4}[/tex]

Therefore, this series of values corresponding to the x-value 1, 2, 3, and 4 are in G.P. and the common ratio is b.

Now, from the given tables in the options only the second option i.e. a 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16 satisfies an exponential function.

Since, f(1) = 2, f(2) = 4, f(3) = 8 and f(4) = 16 are in G.P.(Answer)

Answer:

2

Step-by-step explanation:

Answer:

300.

Step-by-step explanation:

256 is closer to 300 than it is to 200 so it rounds to 300.

Answer:300

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

27/4= 6 3/4

That doesn't work because we need whole numbers.

24/4=6

That is the solution. For $24 we buy 6 tubes for $4 each and we have $3 left over.

Answer:

6

Step-by-step explanation:

each tube of paint(one) = $ 4

(x) tube of paint = $ 27

Therefore,

x= (27/4)

 = 6.75 tubes ; which is equivalent to 6 whole tube of paint

The value of expression is 63 when e = 4 and g = 6

Solution:

Given expression is:

[tex]5e^2-4g+7[/tex]

We have to solve the expression

Given that e = 4 and g = 6

Substitute e = 4 and g = 6 in given expression

[tex]\rightarrow 5(4)^2 -4(6) + 7\\\\Simplify\ the\ above\ equation\\\\\rightarrow 5(16) -24 + 7\\\\\rightarrow 80-24+7\\\\Simplify\\\\\rightarrow 56+7=63[/tex]

Thus value of expression is 63

Answer:

4%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

[tex]r=\frac{I}{Pt}[/tex]

I = interest amount

P = principal amount

t = time (years)

Lets plug in the values:

[tex]r=\frac{480}{(6,000)(2)}[/tex]

[tex]r=0.04[/tex]

The last step is to convert 0.04 into a percent:

0.04(100) = 4

The interest rate is 4%.

Answer:

{x| x < 10 and x > 14} is an empty set.

there cannot be any intersection between the two ranges that is , x< 10 and x>14.

Step-by-step explanation:

x < 10 and x > 14 will lead to an empty set.

there cannot be any intersection between the two ranges that is , x< 10 and x>14.

Final answer:

The set with condition { | < 10 and > 14} is the empty set, as no elements can satisfy being both less than 10 and greater than 14 simultaneously.

Explanation:

The set being asked about is defined as { | < 10 and > 14}.

To determine if this set is the empty set, interpret the conditions placed upon the members of the set.

The description says that an element must be both less than 10 and greater than 14 at the same time, which is an impossible condition. Since no number can satisfy both conditions simultaneously, no elements can exist within this set, making it the empty set, often denoted by Ø.

let's firstly convert the mixed fractions to improper fractions and then multiply.

[tex]\bf \stackrel{mixed}{5\frac{3}{7}}\implies \cfrac{5\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{38}{7}}~\hfill \stackrel{mixed}{2\frac{2}{7}}\implies \cfrac{2\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{16}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{38}{7}\cdot \cfrac{16}{7}\implies \cfrac{(38)(16)}{(7)(7)}\implies \cfrac{604}{49}\implies 12\frac{20}{49}[/tex]

Answer:

$8.60

Step-by-step explanation:

Answer:

$8.60

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

3y+2/5=-1/5

3y=-1/5-2/5

3y=-0.6

0.6/3=y

-3.6=y

y=-3.6

Answer:

Height = 16.4 inches

Step-by-step explanation:

V = Length*Width*Height, so solving for the Height by dividing the Volume with the product of the Length and Width gives:

Height = Volume/Length*Width = 7193.45/(30.25*14.5) = 16.4 inches

The volunteers gave 1368 fliers in total.

Step-by-step explanation:

Given,

Fliers given by volunteers in first neighborhood = [tex]\frac{21}{38}[/tex]

Remaining fliers = 612

Fraction of remaining fliers = [tex]1-\frac{21}{38}=\frac{38-21}{38}[/tex]

Fraction of remaining fliers = [tex]\frac{17}{38}[/tex]

Let,

x be the total fliers given by volunteers.

[tex]\frac{17}{38}\ of\ x=612[/tex]

[tex]\frac{17}{38}x=612[/tex]

Multiplying both sides by [tex]\frac{38}{17}[/tex]

[tex]\frac{38}{17}*\frac{17}{38}x=612*\frac{38}{17}\\\\x=\frac{23256}{17}\\\\x=1368[/tex]

The volunteers gave 1368 fliers in total.

Keywords: fraction, division

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The function h(x) is vertically stretched by a factor of [tex]\frac{1}{2}[/tex] and is shifted 3 units to the left and shifted 2 units up.

Explanation:

The parent function is [tex]f(x)=x^{2}[/tex]

The translated function is [tex]h(x)=\frac{1}{2}(x+3)^{2}+2[/tex]

By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of [tex]\frac{1}{2}[/tex]

Also, from the function transformation rules, we know that,  [tex]$f(x+b)$[/tex] shifts the function b units to the left.

Thus, the translated function h(x) is shifted 3 units to the left.

By using the function transformation rules, we know that,  [tex]$f(x)+b$[/tex] shifts the function b units upward.

Thus, the translated function h(x) is shifted 2 units upwards.

Thus, the translated function h(x) is vertically stretched by a factor of [tex]\frac{1}{2}[/tex] and is shifted 3 units to the left and shifted 2 units up.

Answer:

The measure of side AC is 6 cm.

Step-by-step explanation:

The information for the triangle ABC are:

AB = 6 cm

m∠A = 80°

m∠B = 50°

The sum of all angles of a triangle is 180°.

Compute the value of m∠C as follows:

m∠A  + m∠B + m∠C = 180°

m∠C = 180° - 80° - 50°

        = 50°

Thus, the angles, m∠C = m∠B.

Consider the triangle below.

If two angles of a triangle are equal or similar then that triangle is known as an isosceles triangle.

And in an isosceles triangle the sides corresponding to the equal angles are equal.

Then in this case as m∠C = m∠B then sides AC = AB.

The measure of the side AC is 6 cm.

Answer:

1 = 2 - 3. is this what you mean?

The commission would be $2095.

Step-by-step explanation:

Given,

Commission on first $1000 = 7%

Amount of commission = 0.07*1000 = $70

Worth of sold items = $14,500

We will subtract $1000 from it.

Balance = 14500-1000 = $13500

Commission on balance = 15% = 0.15

Amount of commission = 0.15*13500

Amount of commission = $2025

Total commission = 70+2025 = $2095

The commission would be $2095.

Keywords: percentage, subtraction

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McKenzie would earn $2,095 in commission if her sales for the month were $14,500.

To calculate McKenzie's commission, we need to determine the amount of sales that fall under the 7% rate and the amount that falls under the 15% rate. First, we calculate the commission on the first $1,000 in sales: 7% of $1,000 = $70. Next, we calculate the commission on the remaining sales: $14,500 - $1,000 = $13,500. 15% of $13,500 = $2,025.

Finally, we add the two commissions together to get the total commission: $70 + $2,025 = $2,095. So McKenzie would earn $2,095 in commission if her sales for the month were $14,500.

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Answer:

a = 58

b = 34

Step-by-step explanation:

a + b = 92

a - b = 24

add

a + b + a - b = 92 + 24

2a = 116

a = 116 : 2

a = 58

b = 92 - 58

b = 34

Answer:

Step-by-step explanation:

Let the numbers be x and y

x + y = 92..........(1)

x - y = 24..........(2)

Adding (1) and (2)

2x = 116

x = 116/2

x = 58

From (1)... x + y = 92

58 + y = 92

y = 92 - 58

y = 34

Answer:

21

Step-by-step explanation:

7x3=21

Answer:21

Step-by-step explanation:

You can get it srry if that was mean

Step-by-step explanation:

The given table:

X       Y

3    − 2

6    − 4

9   − 6

12  − 8

To find, the constant ratio, [tex]\dfrac{y}{x}[/tex] = ?

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-2}{3}[/tex],

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-4}{6}[/tex] = [tex]\dfrac{-2}{3}[/tex],

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex] and

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex]

Thus, the required option A) yes; [tex]\dfrac{-2}{3}[/tex] is correct.