Change 6 1/4 pounds to ounces

Answer:

I hope this works

Step-by-step explanation:

look at the picture

The future value that Shawn will have in the bank after 5 years of investing $1,000 at a rate of 3% compounded quarterly is $1,161.18.

The equation that represents the situation is B) A = 1,000 (1.0075)⁴ˣ⁵

The future value describes the compounded present value at an interest rate.

The future value can be determined using the above FV formula or equation or an online finance calculator as follows:

N (# of periods) = 20 quarters (5 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,161.18

Total Interest = $161.18

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Answer:

50 students per bus and 9 students per van

Step-by-step explanation:

I just guessed until I got it right, so I don't really have a method. If I ever find a better way of doing it, I'll edit my answer.

Answer:

a. Yes

b. 3x+7

c. 105 cm

Step-by-step explanation:

a. a(1)+b=10

   a(2)+b=13

when you solve this by elimination or simultaneously: a=3 and b=7

∴ f(x)=3x+7

b. f(x)=3x+7

c. 3(35)+7=112 cm

The value of c is 17.50 and the value of d is 2.40

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

Given

Equation for 4 days

C + 4d=27.10

Equation for 7 days

C + 7d=34.30

Solving simultaneously equation

C + 4d=27.10

- C + 7d=34.30

by simplifying,

0- 3d = - 7.20

d= -7.30/-3

=2.40

Replace the d 2.40 in either side

C+4d = 27.10

C=27.10 - 4d

=27.10 - 4(2.40)

=17.50

Therefore the value of c is 17.50 and the value of d is 2.40

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Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got 100% on a quiz

Answer:

18:5

Step-by-step explanation:

There, hope it helps!

Answer:

18:5

Step-by-step explanation:

come on man

246,588 rounded to the nearest 10 thousands place is 250,000

Answer:

Answer is 117.86 mm^2

Answer is given below with explanations.

Step-by-step explanation:

\(in \: the \: figur \: there \: are \: two \: parllelograms \\ intersecting \: a \: triangle \\ area \: of \: 1 \: parallelogram \: = \: bh \: \\ here \: base\: (b) = 20 \:mm \: \: an d \: height \: (h) = 4 \: mm \\ area \: of \: 1 \: parallelogram \: = 20 \times 4 \\ \: \: = 80 \: {mm}^{2} \\ area \: of \: 2 \: parallelogram \: = bh \\ here \: base \: (b) = 32 \: mm \\ height \: (h) = 2 \: mm \\ area \: of \: 2 \: parallelogram \: = 32 \times 2 \\ \: \: = 64 {mm}^{2} \\ in \: the \: v \: shaped \: figure \: there \: s \: a \: triangle \\ area \: of \: triangle \: is \: calculated \: using \: \\ heron \: s \: formula \\ area \: of \: triangle \: = 26.14 \\ area \: of \: v \: block \\ = area \: of \: 1 \: parallelogram \: + area \: of \: 2 \: parallelogram \: - area \: of \: triangle \\ = 80 + 64 - 26.14 \\ \: \: = 117.86 \: {mm}^{2} \)

HAVE A NICE DAY!

280t + 320t = 1,000 is distance equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart.

What does distance mean in a nutshell?

Distance is the overall movement of an object without consideration of direction.

                      Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has traveled.

At 10:00 a.m. two planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320 mph

Let 't' be the time taken when they are 1000 miles apart

the northbound plane flies at 280 mph

Distance  = speed * time

distance covered by northbound plane D1= 280 * t= 280t

the southbound at 320 mph

distance covered by southbound plane D2=320 t

Distance is 1000 miles apart

D1 + D2= 1000

280t + 320t = 1,000

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60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Three of the five basketball players scored more than 10 points.

Total number of basketball players = 5

The number of players who scored more than 10 points = 3

In fraction:

= 3/5

= 0.6

To convert the above fraction into the percentage multiply it by 100:

= 0.6x100

The percent of the players scored more than 10 points = 60%

Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

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The height of the feeder is approximately 4 inches.

We can use the formula for the volume of a cone, which is V = (1/3)π\(r^{2}\)h, where V is the volume, r is the radius, and h is the height. We know that V = 113.04 and r = 3, so we can solve for h:

113.04 = (1/3)*π*(\(3^{2}\))h

113.04 = 9πh

h = 113.04 / (9π)

h ≈ 4 inches

The y- intercept of a direct equation is the point where the line crosses the y- axis. It's the value of y when x is equal to 0.   To graph a direct equation, you can  compass the y- intercept on the y- axis, and  also use the  pitch to find other points on the line.

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The solution to the triangle is:

Angle A = 139°

Angle B = 20.5°

Angle C = 20.5°

Side a = 10

Side b ≈ 3.79

Side c ≈ 7.75

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides.

Let's begin by finding side c using the law of sines:

sin(A)/a = sin(C)/c

sin(139°)/10 = sin(C)/c

sin(C) = (sin(139°)/10) * c

c = sin(C) / (sin(139°)/10)

We also know that B = C, so we can use the fact that the sum of angles in a triangle is 180° to find angle B:

B + C + A = 180°

2B + 139° = 180°

2B = 41°

B = 20.5°

Now, we can use the law of sines again to find side b:

sin(B)/b = sin(A)/a

sin(20.5°)/b = sin(139°)/10

b = sin(20.5°) / (sin(139°)/10)

Finally, we can use the fact that the sum of the angles in a triangle is 180° to find angle O:

O = 180° - A - B - C

O = 180° - 139° - 20.5° - 20.5°

O = 0°

Therefore, the solution to the triangle is:

Angle A = 139°

Angle B = 20.5°

Angle C = 20.5°

Side a = 10

Side b ≈ 3.79

Side c ≈ 7.75

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

Answer:

m∠3 = 89°

Step-by-step explanation:

m∠1 = m∠2 because they are corresponding angles

x+60 = 5x-64

-4x = -124

x = 31

Find m∠2:   5(31) - 64 = 91

m∠3 = 180-91 = 89

We are given the following function

We are asked to find the value of f(2)

f(2) means to substitute x = 2 into the function

Recall the order of operations, first solve the exponent, then multiplication, and finally addition

Therefore, the value of f(2) is 19

The value when 'x' tends to 0⁻, 0⁺, and 0 will be 7, 7, and not defined, respectively.

Given that,

Function, \(f(x) = \left\{\begin{matrix}x+7 & x < 0\\ 7 & x > 0\end{matrix}\right.\)

A function that is defined by several formulae or rules for various intervals or "pieces" of the domain is known as a piecewise function. Every interval has a unique rule that specifies how the function's output will be calculated.

When the value of 'x' tends to 0⁻. The value of the function is calculated as,

\(\rm y = \lim_{x\rightarrow 0^-} (x+7)\\y = 0 + 7\\y = 7\)

When the value of 'x' tends to 0⁺. The value of the function is calculated as,

\(\rm y = \lim_{x\rightarrow 0^+} (x+7)\\y = 7\)

When the value of 'x' is 0. The value of the function is not defined.

The graph of the function is drawn below.

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(a) The expected value, E(X), is calculated as 4.38.

(b) The variance is 8.429 and the standard deviation is 2.902.

(a) The expected value, E(X), is calculated by multiplying each value of X by its corresponding probability and summing them up. In this case, the calculation would be: (0 * 0.11) + (1 * 0.10) + (2 * 0.04) + (3 * 0.08) + (4 * 0.35) + (5 * 0.02) + (6 * 0.03) + (7 * 0.01) + (8 * 0.01) + (9 * 0.20) + (10 * 0.05) = 4.38.

(b) The variance is calculated by finding the squared difference between each value of X and the expected value, multiplying it by its corresponding probability, and summing them up. The calculation for variance would be: [(0 - 4.38)^2 * 0.11] + [(1 - 4.38)^2 * 0.10] + ... + [(10 - 4.38)^2 * 0.05] = 8.429. The standard deviation is the square root of the variance, which in this case is approximately 2.902.

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The general form of the equation 2/3(x - 4)(x + 5) = 1 is 2x^2 + 2x - 43 = 0

and the coefficients of general form a = 2, b= 2 and c = -43

To find the general form of the given equation, we need to simplify and expand the equation.

First, we can simplify the left-hand side of the equation by multiplying 2/3 into the brackets

2/3(x - 4)(x + 5) = (2/3)(x^2 + x - 20)

Next, we can multiply both sides of the equation by 3 to eliminate the fraction

2(x^2 + x - 20) = 3

Expanding the left-hand side, we get

2x^2 + 2x - 40 = 3

Simplifying further, we get

2x^2 + 2x - 43 = 0

So, the coefficients of the general form of the equation are

a = 2

b = 2

c = -43

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The given question is incomplete, the complete question is:

Give the values of a, b, and c needed to write the equation's general form. 2/3(x - 4)(x + 5) = 1

STEP - BY - STEP EXPLANATION

What to find?

P(x=6)

Given:

n=7 p=0.3

p+q = 1

⇒q = 1- p = 1-0.3 =0.7

Step 1

Recall the formula.

Step 2

Substitute the values into the formula.

Step 3

Simplify the above.

ANSWER

0.0035721

An equation in mathematics known as a differential equation connects a function to its derivatives. It involves the derivatives of one or more unknown functions with regard to one or more independent variables.

We can use the method of precise equations to resolve the differential equation (3x2 + y)dx + (x2y - x)dy = 0 that is presented.

In order to determine whether the equation is precise, we must first determine whether (M)/(y) = (N)/(x), where M = 3x2 + y and N = x2y - x.

We have the following partial derivatives: 

(M)/(y) = 1 and 

(N)/(x) = 2xy - 1

The equation is not accurate because (M)/(y) does not equal (N)/(x).

We must identify an integrating factor in order to make the equation exact. We can calculate it by multiplying 

(M)/(y) by (N)-(N)/(x).

Integrating factor is equal to [(M/y)]. N-(N)/(x) 

= 1 / (2xy - 2xy + 1).

=1

Multiplying the entire equation by the integrating factor, we get:

(3x² + y)dx + (x²y - x)dy = 0

Since the integrating factor is 1, the equation remains unchanged.

Next, we integrate both sides of the equation with respect to x and y, treating the other variable as a constant.

Integrating the first term with respect to x, we get:

∫(3x² + y)dx = x³ + xy + C1(y)

Integrating the second term with respect to y, we get:

∫(x²y - x)dy = x²y²/2 - xy + C2(x)

Combining the two integrated terms, we have:

x³ + xy + C1(y) + x²y²/2 - xy + C2(x) = C

Simplifying, we can write the solution as:

x³ + x²y²/2 + C1(y) + C2(x) = C

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Answer: 48 cm.

Step-by-step explanation: Area of a triangle is equal to (base * height) / 2. (12 * 8) / 2 = 48

A. K = 0. B. No value. No value of K can make ab=ba, since a and b are not equal.

A. K = 1. When k = 1, ab = ba because the product of any two numbers is the same regardless of the order in which they are multiplied.

B. No value. If k is not equal to 1, then ab will not be equal to ba. This is because the order in which numbers are multiplied affects the product. For example, if a = 2 and b = 3, then ab = 6 and ba = 6. However, if k = 2, then ab = 12 and ba = 18, which are not equal.

It is important to note that the commutative property of multiplication states that the product of any two numbers is the same regardless of the order in which they are multiplied. This means that ab = ba for any values of a and b. However, the question is asking for the values of k that will make ab = ba, so we must consider the effect of k on the product of a and b.

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Answer:

23.0088% difference

Step-by-step explanation:

Calculate percentage difference

between V1 = 11 and V2 = 13.86

|V1−V2|[(V1+V2)2]×100=?

1) =|11−13.86|[(11+13.86)2]×100

2) =|−2.86|[24.862]×100

3) =2.8612.43×100

4) =0.230088×100

Answer:  23.0088% difference

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

\(\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}\)

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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