Harriet's band practice lasts 2.95 hours. If they have been practicing for 12 hours, how many hours remain?
hours

Answer:The mode is equal to the minimum.

Step-by-step explanation:

medium is 50

mode is 48

mean is 50

minimum is 48

Answer:

The mode is equal to the minimum.

Step-by-step explanation:

Answer:

Both the girls have 62 lollipops

Step-by-step explanation:

25+25=50

50+12=62

Answer:

62 lollipops

Step-by-step explanation:

If Angie has 12 more lollipops than Crystal...

25 + 12 = 37 lollipops

Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...

37 + 25 = 62 lollipops

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

A.)  \(\frac{500}{3} \pi units^3\)

Step-by-step explanation:

To find the volume of the sphere, you need to use the following equation:

\(V= \frac{4}{3} \pi r^3\)

In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.

\(V= \frac{4}{3} \pi r^3\)                              <----- Volume equation

\(V= \frac{4}{3} \pi (5)^3\)                           <----- Plug 5 into "r"

\(V= \frac{4}{3} \pi (125)\)                         <----- Solve 5³

\(V= \frac{500}{3} \pi\)                              <----- Multiply \(\frac{4}{3}\) and 125

Answer:

\(\sf A. \quad \dfrac{500}{3} \pi \:\:units^2\)

Step-by-step explanation:

Volume of a sphere

\(\sf V=\dfrac{4}{3} \pi r^3\)

(where r is the radius)

From inspection of the given diagram:

Substitute the value of r into the equation and solve for V:

\(\begin{aligned}\sf V & = \sf \dfrac{4}{3} \pi r^3\\\\\implies \sf V & = \sf \dfrac{4}{3} \pi (5)^3\\\\& = \sf \dfrac{4}{3} \pi (125)\\\\ & = \sf \dfrac{4 \cdot 125}{3} \pi\\\\& = \sf \dfrac{500}{3} \pi \:\:units^2\end{aligned}\)

Answer:

25

Step-by-step explanation:

5 > x/5

5 × 5 > (x/5) × 5

25 > x

Answer:

c = 8.7 inches

Step-by-step explanation:

a^2 + b^2 = c^2

Substitute in the known values for a and b (the order doesn't matter):

(4.8)^2 + (7.3)^2 = c^2

multiply 4.8 times itself, 7.3 times itself:

23.04 + 53.29 = c^2

76.33 = c^2

Now find the square root of both sides of the equation (square root of c^2 = c):

8.736= c

It says round to the nearest tenth, so c = 8.7 inches

The inverse function of f(x) = 3x + 5 is given as follows:

C. p(x) = 1/3x - 5/3.

The function in the context of this problem is defined as follows:

f(x) = 3x + 5.

To obtain the inverse function, first we must exchange the variables x and y, hence:

y = 3x + 5

x = 3y + 5.

Now we must isolate the variable y, hence:

3y = x - 5

y = (x - 5)/3.

p(x) = 1/3x - 5/3.

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We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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Answer:

  Yes because they have the same slope of 3/2

Step-by-step explanation:

The slope of PQ is ...

 (10 -7)/(2 -0) = 3/2

The slope of RS is ...

  (8 -5)/(0 -(-2)) = 3/2

The slopes are the same (3/2), so the lines are parallel.

Answer:

-1.5

Step-by-step explanation:

use 2nd grade math

Answer:

\(\frac{-3}{2}\)

Step-by-step explanation:

Convert -0.25 to \(\frac{-1}{4}\)

\(\frac{3}{8}(\frac{-4}{1} )\)

\(\frac{-3}{2}\)

In this expression, the GCF is 5. Therefore, we can factor out a 5 to get 5(x² - y²).

The difference of squares formula states that the difference of two squares can be factored into the product of two terms, one of which is the sum of the terms and the other is the difference of the terms.

When factoring polynomials, it is important to factor out the greatest common factor (GCF).

In this expression, the GCF is 5.

Therefore, we can factor out a 5 to get 5(x² - y²).

Now, we can expand the parentheses and factor out the remaining terms. Since both terms are perfect squares, we can factor them using the difference of squares formula:

5(x² - y²) = 5(x + y)(x - y)

In this case, the terms are x and y, resulting in the factorization of  5(x² - y²) into 5(x + y)(x - y).

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When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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Answer:

(c) Pi/4

Step-by-step explanation:

3pi/4 = (3 x 180) / 4 = 135 degrees

135 degrees is equivalent to (180 degrees - 135 degrees) 45 degrees

45 degrees = Pi/4

Therefore, the reference angle of 3pi/4 is Pi/4

Thus, the correct option is (c) Pi/4

The reference angle for 3π/4 is π/4.

So, the correct answer is c) π/4.

Given is an angle 3π/4, we need to find its reference angle,

The reference angle is the acute angle formed between the terminal side of an angle and the x-axis in the coordinate plane.

To find the reference angle for an angle, you need to consider the position of the terminal side of the angle in the coordinate plane and determine the acute angle formed.

In this case, we are given the angle 3π/4. To find the reference angle, we need to consider the position of the terminal side of this angle.

The angle 3π/4 lies in the second quadrant of the coordinate plane, where both the x-coordinate and y-coordinate are negative.

To find the reference angle, we need to find the acute angle formed by the terminal side with the x-axis. In the second quadrant, this acute angle is formed by the vertical line connecting the terminal side to the x-axis.

If we draw a vertical line from the terminal side of 3π/4, it intersects the x-axis at π/4.

Therefore, the reference angle for 3π/4 is π/4.

So, the correct answer is c) π/4.

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The measure of angle x on the straight line is 130 degrees.

The sum of interior angles in a triangle equals 180 degrees.

To determine the value of x, we first determine its suplemetary angle x .

Hence:

40 + 90 + ( suplemetary angle of x ) = 180

Solve for the suplementary angle:

130 + ( suplemetary angle of x ) = 180

Suplementary angle of x = 180 - 130

Suplemetary angle of x = 50 degree

Now, we can find the measure of  angle x.

Note that, sum of angles on a straight line equals 180 degree.

Hence:

x + ( suplemetary angle of x )  = 180

x + 50 = 180

Solve for x

x = 180 - 50

x = 130 degrees.

Therefore, the value of x is 130 degrees.

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Answer:

3

Step-by-step explanation:

5x=45-30

5x =15

divide both sides by 5

x=3

Answer:

y= 9.

Step-by-step explanation:

• For this, we may use the formula to craft the linear equation for this point:

Fórmula:

\(y-y_{1} =m(x-x_{1} )\)

Substitute with the given values:

\(y-2 =-\frac{7}{8} (x-5)\)

Simplify (make sure to apply the distributive property to multiply the slope by the 2 terms inside the parenthesis):

\(y-2 =-\frac{7}{8} x+\frac{35}{8}\)

Solve for y:

\(y =-\frac{7}{8} x+\frac{35}{8}+2\)

Simplify:

\(y =-\frac{7}{8} x+\frac{35}{8}+\frac{16}{8} \\\\y =-\frac{7}{8} x+\frac{51}{8}\)

• Now that we have the equation of the line, take the knows values and solve calculate y:

\(y =-\frac{7}{8} (-3)+\frac{51}{8}\\\\y =\frac{21}{8} +\frac{51}{8}\\\\y =\frac{72}{8}\\\\y=9\)

Answer: -13

Step-by-step explanation:

The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.

Distance = 7 + 5
Distance = 12 feet

Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

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Answer:

7

Step-by-step explanation:

Step-by-step explanation:

c^2 = a^2 + b^2

A

\( \sqrt{40 ^{2} + 30 {}^{2} } = 50\)

B

\( \sqrt{60 {}^{2} - 40 {}^{2} } = 44.7\)

Answer:

6.63 ft

Step-by-step explanation:

10² + h² = 12²

h² = 12² - 10²

h² = 144 - 100

h = √(44)

h = 2√11

6.63325 ft

Answer: -11y+19

Step-by-step explanation:

-2y+14-9y+5=

-2y-9y+14+5=-11y+19

There are 38,936,000 people over the age of 64 were in the U.S.

Option 2 is true.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

In 2012, the U.S. population was about 314 million.

Now,

Total population = 314,000,000

In the pie chart, The percent of people over the age of 64 were in the U.S will be 12.4%

Hence, Solve as;

Number of people over the age of 64 = 314,000,000 × 12.4%

                                                           = 314,000,000 × 12.4 / 100

                                                           = 31,400,00 × 12.4

                                                           = 38,936,000

Thus,

There are 38,936,000 people over the age of 64 were in the U.S.

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\((f-g)(-4)=f(-4)-g(-4)=[3(-4)^2 +5]-[-2(-4)+2]=\boxed{43}\)

Answer:

--------------------

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

Multiply both sides by 2pi:

F(2pi) = sqrt(g/l)

Square both sides:

F^2 (2pi)^2 = g/l

Solve for l by dividing both sides by F^2 (2pi)^2

L = g/ F^2 (2pi)^2

Simplify:

L = g / 4pi^2(f^2)

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:

Calculating the absolute change:

Absolute change = Final value - Initial value

= 57.7 pounds - 67.8 pounds

= -10.1 pounds

Step 2: Calculate the relative change:

Relative change = (Absolute change / Initial value) * 100

= (-10.1 pounds / 67.8 pounds) * 100

≈ -14.9%

The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

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