Find the value of the expression below if j= 8/9 and k= 14/1.

Expression: 1 1/4j - 5/8k

A: 19/36. B: 7/12. C: 13/24 D: 11/18

Answer: The answer is B

Step-by-step explanation:

4( the tip) +5 (# of family) * x( unknown cost of hot dog) = 29 (total)

The value of ? is given as 14

Perimeter = 2 (l + w)

this formula above is the formula that is used to solve for the perimeter of a rectangle

In the question l is length = 11 km

w is width = ?

perimeter = 50 km

we would have

50 = 2 (11 + w)

50 = 22 + 2w

take the like terms

50 - 22 = 2w

28 = 2w

divide through by 2 in order to get the value of w

28 / 2 = w

14 = w

Hence the value of ? = 14

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Answer:

A

Step-by-step explanation:

Math

===================================================

Work Shown:

If we want this figure to be a parallelogram, then the opposite sides EH and FG must be the same length.

Let's use that fact to solve for x.

EH = FG

17x-29 = 12x-8

17x-12x = -8+29

5x = 21

x = 21/5

x = 4.2; answer is choice A

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

Extra info:

If x = 4.2, then,

Both EH and FG are 42.4 units long which helps confirm the answer.

Answer:

A) AAA

Step-by-step explanation:

This proved similarity, but not necessarily congruency.  If the angles are the same in a triangle, they could be smaller and larger versions of themselves.  They will have the same shape, but not necessary the same size.  The side lengths will be proportional.  If the scale factor between the two triangles is 1 , then the triangles would be congruent, but they could have any scale factor greater or less than 1 too.

Answer:

Interval notation of x<3 is (-∞,3)

Interval notation of x>=5 is [5,+∞)

Step-by-step explanation:

x<3

Since you did not enter an equal sign, this translates to ) since we will not be including the number 3

Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,3)

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

x>=5

Because you entered an equal sign, this translates to [ since we include the number 5.

Based on the ≥ you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

[5,+∞)

Answer: 3/10!!

Step-by-step explanation: 3 can be divided by 3, 6, and 9. Making them multiples of 3.

The probability of picking a multiple of 3 is 3/10.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

There are ten numbers.

i.e N = 10

Numbers that are multiples of 3 = {3, 6, 9}

There are three numbers.

i.e M = 3

Now,

The probability of picking a multiple of 3.

= M/N

= 3/10

Thus,

The probability of picking a multiple of 3 is 3/10.

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Answer:

4:2:3

Step-by-step explanation:

First you need to divide each number by a common factor like 2.

1. 16:8:12

Divide all numbers by two

8:4:6

Divide by two again

4:2:3

Since, you cannot simplify all of them again, the asnwer is

4:2:3

Answer:

4:2:3

Step-by-step explanation:

Blue : Green : Red

 16   :      8    :  12

  4   :       2   :    3

Answer:

2(8a + 8)

Step-by-step explanation:

The easiest way to do this is to substitute a for a number. For example, let's just make things easy and make a = 1.

So, if a = 1, the expression 16a + 8 would be 16(1) + 8 = 24.

Let's find all the expressions that would also equal 24 if a = 24.

Plug in 1 for a in each of the equations. You will find that 2(8a + 8) will not equal 24 if a equals 1.

2(8a + 8)

2(8(1) + 8

2(8 + 8)

2(16)

32

Answer:

Question 7: 20° and 160°, Question 8: 10° and 80°

Step-by-step explanation:

Complementary angles add to 90° and supplementary angles add to 180°.

Answer:

\(x=5.24\tan 41^{\circ}\)

Step-by-step explanation:

\(\tan 41^{\circ}=\frac{x}{5.24} \\ \\ x=5.24\tan 41^{\circ}\)

The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

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Answer:

He did not use the largest perfect square

Step-by-step explanation:

4      \(\sqrt{8}\) is the correct answer

What is square root ?

In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16. The square root of any number can be expressed using the formula: √y = y½. In other words, if a number has 1/2 as its exponent, it means we need to find the square root of the number.

Given,

\(\sqrt{128}\)

we divide the number 128 by 2 four times, we get

= \(\sqrt{8*2*2*2*2}\)

= 2*2\(\sqrt{8}\)

=4      \(\sqrt{8}\)

Therefore, 4      \(\sqrt{8}\) is the correct answer

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Answer:

Step-by-step explanation:

$13

Answer:

It's A. The points all lie very close to the line of fit, and the line is decreasing.

Step-by-step explanation:

The points all lie very close to the line of fit, and the line is decreasing option (A) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

It is given that:

The value of the correlation coefficient r = -0.97

As we know,

If the value of the correlation coefficient is positive it represents the line of best-fit increasing.

If the value of the correlation coefficient is negative it represents the line of best fit decreasing.

If the value of r is close to 1 then we can say that the correlation between the two variables is very strong.

Thus, the points all lie very close to the line of fit, and the line is decreasing option (A) is correct.

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Answer: 55 square feet

Step-by-step explanation:

To find area:
Length * Width

11 * 5 = 55

Answer: 55 sq. feet

explanation : 5 x 11 is 55, so 55 square feet

The pressure inside the reactor once equilibrium is V₁ = 12.7 dm³ and V₂ = 9.20 dm³

The ideal gas law equation is given by:

PV = nRT

Where:

P = pressure of the gas

V = volume of the gas

n = number of moles of the gas

R = ideal gas constant

T = temperature in Kelvin

In your case, we have the initial conditions at equilibrium in a vessel with a volume of 12.7 dm³. The number of moles of the three gases present at equilibrium are:

HCONH₂: 0.298 moles

NH₃: 5.71 moles

CO: 3.43 moles

However, we don't have the temperature (T) mentioned in the problem. To solve for pressure, we need to know the temperature as well. Once we have the temperature, we can calculate the initial pressure using the ideal gas law equation.

Let's assume we have the temperature as T. Now, let's calculate the initial pressure (P₁) using the initial volume (V₁ = 12.7 dm³) and the number of moles of the three gases.

For HCONH₂:

PV = nRT

P₁ * V₁ = (0.298 moles) * R * T

For NH₃:

PV = nRT

P₁ * V₁ = (5.71 moles) * R * T

For CO:

PV = nRT

P₁ * V₁ = (3.43 moles) * R * T

Since all three gases are present in the same volume and at the same temperature, we can add the equations together:

P₁ * V₁ + P₁ * V₁ + P₁ * V₁ = (0.298 moles + 5.71 moles + 3.43 moles) * R * T

(3 * P₁ * V₁) = (9.508 moles) * R * T

Now, let's calculate the final pressure (P₂) when the volume is changed to 9.20 dm³. We will use the same number of moles for each gas as given in the problem.

For HCONH₂:

P₂ * V₂ = (0.298 moles) * R * T

For NH₃:

P₂ * V₂ = (5.71 moles) * R * T

For CO:

P₂ * V₂ = (3.43 moles) * R * T

Again, we can add the equations together:

P₂ * V₂ + P₂ * V₂ + P₂ * V₂ = (0.298 moles + 5.71 moles + 3.43 moles) * R * T

(3 * P₂ * V₂) = (9.508 moles) * R * T

Now, we have two equations:

(3 * P₁ * V₁) = (9.508 moles) * R * T

(3 * P₂ * V₂) = (9.508 moles) * R * T

To find the ratio of P₂ to P₁, we can divide the second equation by the first equation:

(3 * P₂ * V₂) / (3 * P₁ * V₁) = (9.508 moles) * R * T / (9.508 moles) * R * T

Canceling out the common terms, we get:

P₂ * V₂ / (P₁ * V₁) = 1

Now, substitute the given values:

V₁ = 12.7 dm³

V₂ = 9.20 dm³

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The derivative of g(t) is g'(t) = [(3t + 7)(-5) - (2 - 5t)(3)] / (3t + 7)².This derivative represents the rate at which the function g(t) is changing with respect to the variable t.

To find the derivative of the given function g(t) = (2 - 5t) / (3t + 7) using the quotient rule, we apply the quotient rule formula.

Let's label the numerator as u = 2 - 5t and the denominator as v = 3t + 7.

The numerator derivative, u', is -5 since the derivative of -5t is -5.

The denominator derivative, v', is 3 since the derivative of 3t is 3.

Applying the quotient rule, we have:

g'(t) = (u'v - uv') / v².

Substituting the values, we get:

g'(t) = [(3t + 7)(-5) - (2 - 5t)(3)] / (3t + 7)².

Simplifying further, we have:

g'(t) = (-15t - 35 + 6 - 15t) / (3t + 7)².

Combining like terms, we get:

g'(t) = (-30t - 29) / (3t + 7)².

Therefore, the derivative of g(t) is g'(t) = (-30t - 29) / (3t + 7)². This derivative represents the rate at which the function g(t) is changing with respect to t.

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The area of the shaded part in figure A is 24 square units and the area of the shaded part in figure B is 27 square units.

The given figure A can be divided into two rectangles.

One rectangle has length=6 units and breadth= 2 units.

So, area of a rectangle = 6×2 =12 square units

Second rectangle has length=4 units and breadth= 3 units.

So, area of a rectangle = 4×3 =12 square units

Total area = 12+12 =24 square units

In the given figure B,

Area of a large square is side² = 6²

= 36 square units

Area of a large square is side² = 3²

= 9 square units

Area of shaded = 36-9

= 27 square units

Therefore, the area of the shaded part in figure A is 24 square units and the area of the shaded part in figure B is 27 square units.

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Answer:

100+96+96+88+70+100=550

550 divided by 6 is 91 1/3

92 is his current grade

a. The response variable in this experiment is the binding strength. b. The experimental conditions are determined by the type of glue. c. The extraneous variables mentioned are the number of pages and the book's binding type, and other variables to consider include temperature, humidity, application technique, pressure, and drying time.

a. The response variable in this experiment is the binding strength. It is the variable of response variablethat will be measured to determine the effect of different glues.

b. The explanatory variable that will determine the experimental conditions is the type of glue. It is the variable that is manipulated by the experimenter to observe its impact on the binding strength.

c. The two extraneous variables mentioned in the problem description are the number of pages in the book and whether the book is being bound as a paperback or a hardback. These variables are not the focus of the experiment but are mentioned as factors that may potentially affect the binding strength.

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When rotated about the x axis, a cone will form a circle and the sphere will remain a sphere. The prism and cylinder will not form any new figures when rotated about the x axis.

Cone generally refers to a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. It is a surface formed by the straight line segments joining a circle or other closed curve at different levels. Cone shapes are commonly seen in nature, such as in pine cones, ice cream cones, and volcanoes. In mathematics, a cone is a solid figure with a circular base and a curved surface that comes to a point at the top.

A sphere is a three-dimensional object consisting of a perfectly round shape. It is the surface of a perfectly round ball and is mathematically defined as the set of points that are all the same distance from a single point, which is the center. It is one of the most common shapes in geometry and is found in many everyday objects, such as balls and marbles.

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Answer:

C

Step-by-step explanation:

-3x+15=18

-3(-1)+15=18

3+15=18

Answer:

Correct answer is C

Step-by-step explanation:

-3 (-1) +15= 18

3+15=18

Generally, it is recommended that older adults aim for a walking speed of at least 2.0 mph, while younger adults can aim for a faster speed of 3.0 mph or higher.

A study by the American Journal of Preventive Medicine recommends that older adults should aim to walk at a speed of at least 2.0 mph, while younger adults should aim for at least 3.5 mph.

Additionally, it's important to note that your walking speed should be tailored to your own physical fitness level and may vary depending on the terrain and your overall health. It's always a good idea to consult with your doctor to determine the best speed for your individual needs.

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Answer:

0

Step-by-step explanation:

Subtract 2 from 2.

2 - 2 = 0

Answer:

1.2 x 10 to the power of 2

Step-by-step explanation:

2 mins= 120 seconds

120 seconds = 1.2 x 10 to the power of 2

Answer:

Lin lives 1 1/20 miles away from school

Step-by-step explanation:

1 3/10 becomes 1 6/20

1/4 becomes 5/20

1 6/20 - 5/20

= 1 1/20

Answer:

Step-by-step explanation:

    The Volume of the requested pyramid is 68.5 in³.

  The scale factor is a dimensionless number that allows us to relate dimensions in figures, it is also known as numerical ratio or proportion.

   We must determine the scale factor with the data of the inclined heights of each of the pyramids:

  If the scale factor is a/b, the reason of the volume will be:;

(a/b)³ = 1/8

1/8 = V/540

V = 1/8 x 540

V = 68.5

V = 68.5in³

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Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

The volume of a sphere of radius r is given by:

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

Applying implicit differentiation, the rate of change is given by:

\(\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}\)

In this problem, we have that:

\(\frac{dV}{dt} = 500, r = 70\)

Hence the rate of change of the radius is given as follows:

\(\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}\)

\(19600\pi\frac{dr}{dt} = 500\)

\(\frac{dr}{dt} = \frac{500}{19600\pi}\)

\(\frac{dr}{dt} = 0.0081\)

The radius is increasing at a rate of 0.0081 cm per minute.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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