Oakwood Academy's winter carnival is coming up, and Mr. Boyd is in charge of ordering the craft kits again. He knows he ordered 11 boxes of snow globe kits last year but can't remember how many kits come in a box. He checks the records and finds that the school used 122 of the snow globe kits last year and had 10 left over after the event. How many snow globe kits come in each box?

Answer:

c

Step-by-step explanation:

18/12 = 15/10 = 9/6 = 3/2

Answer:

5.25 hours

Step-by-step explanation:

The calculation of the time needed to schedule for all seven applications is shown below:

Since 3 by 4 is required of an hour to meet you show them

i.e.

= 3 ÷ 4 of an hour

= 3 ÷ 4 × 60 minutes

= 45 minutes

Now for seven applications, the time would be

= 7 × 45 minutes

= 315 minutes

And, one hour =  60 min.

So, the time required is

= 315  minutes ÷60 minutes

=  5.25 hours

The rate of change of radius is 2.832 mm per second, when the radius is 6 mm.

A height of cone = 15 mm

An initial radius of cone = 16 mm

The volume of the inverted cone is decreasing at a rate of 534 cubic mm per second, with the height being held constant.

The formula of Volume of cone;

V = 1/3 πr^2h

where, r =  radius of the cone and h = height of the cone

To determine the rate of change of the radius we differentiate the volume with respect to t.

dV/dt = 2/3 πrdr/dt h

Now putting the values

534 = 2/3 × 22/7 × 6 × dr/dt × 15

534 = 3,960/21 × dr/dt

Multiply by 21 on both side, we get

3960 dr/dt = 11,214

Divide by 3960 on both side, we get

dr/dt = 2.832

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The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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Answer:

>

Step-by-step explanation:

The bars around the numbers symbolize absolute value. The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is that number but positive. In this case, 7 is greater than 2. So, the answer is 7>2.

Answer:

x = 7

Exterior angle = 139°

Step-by-step explanation:

\( (15x + 34) \) is an exterior angle to the ∆ given.

29° and \( (12x + 26) \) are two opposite interior angles of the ∆.

According to the external angle theorem, \( (15x + 34) = 29 + (12x + 26) \)

Solve for x using this expression

\( 15x + 34 = 29 + 12x + 26 \)

\( 15x + 34 = 29 + 26 + 12x \)

\( 15x + 34 = 55 + 12x \)

\( 15x + 34 - 12x = 55 + 12x - 12x \)

\( 15x - 12x + 34 = 55 \)

\( 3x + 34 - 34 = 55 - 34 \)

\( 3x = 21 \)

\( \frac{3x}{3} = \frac{21}{3} \)

\( x = 7 \)

Exterior angle = \( (15x + 34) \)

Plug in the value of x

\( 15(7) + 34 = 105 + 34 = 139 \)

Exterior angle = 139°

Question 4

\(g=4x+5xy \\ \\ g=x(4+5y) \\ \\ x=\frac{g}{4+5y}\)

Question 5

\(w=4ax-9x \\ \\ w=x(4a-9) \\ \\ x=\frac{w}{4a-9}\)

Question 6

\(z=6x+ox+2 \\ \\ z-2=6x+ox \\ \\ z-2=x(o+6) \\ \\ x=\frac{z-2}{o+6}\)

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )

The linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.

A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

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The man should swim the entire distance at 2 miles per hour because the minimum walking speed that would make it quicker to walk the entire distance is infinity, which is not practical.

Let's assume the distance the man needs to travel is d miles. If the man swims at 2 miles per hour, he can swim the distance in d/2 hours. If he walks at a speed of x miles per hour, he can walk the distance in d/x hours. Therefore, the total time T it takes to travel the distance using swimming and walking is:

T = d/2 + d/x = d(1/2 + 1/x)

We want to find the walking speed x that minimizes the total time T. To do this, we can take the derivative of T with respect to x and set it equal to zero:

d(T)/dx = -d/2x^2 + d/x^2 = d/x^2(1/2 - 1) = -d/2x^2

Setting d(T)/dx = 0, we get:

d/2x^2 = 0

Solving for x, we get:

x = infinity

This means that the minimum walking speed for which it is quickest to walk the entire distance is infinity, which is not a practical solution. Therefore, the man should swim the entire distance at 2 miles per hour.

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Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.

In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.

Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.

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Answer:

-3/5x

Step-by-step explanation:

It is a negative slope and use rise over run

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

(a)An function the deformation gradient F is F = 1 γ 0,0 2X2 0,0 0 1

(b The right Cauchy-Green deformation tensor C is C = 1+γ²γ 0,

γ 4X2²0,0 0 1 the left Cauchy-Green deformation tensor B is B = 1+γ² γ 0,γ γ²+4X2² 0,0 0 1.

(a) Deformation Gradient F:

The deformation gradient is defined as the derivative of the deformed coordinates x with respect to the initial coordinates X:

F = ∂x/∂X

Given the shear deformation x = φ(X) with x1 = X1 + γX2, x2 = X2X2, and x3 = X3, we can compute the deformation gradient as follows:

F =∂x1/∂X1 ∂x1/∂X2 ∂x1/∂X3

∂x2/∂X1 ∂x2/∂X2 ∂x2/∂X3

∂x3/∂X1 ∂x3/∂X2 ∂x3/∂X3

Taking the partial derivatives:

∂x1/∂X1 = 1, ∂x1/∂X2 = γ, ∂x1/∂X3 = 0

∂x2/∂X1 = 0, ∂x2/∂X2 = 2X2, ∂x2/∂X3 = 0

∂x3/∂X1 = 0, ∂x3/∂X2 = 0, ∂x3/∂X3 = 1

(b) Right and Left Cauchy-Green Deformation Tensors C and B:

The right Cauchy-Green deformation tensor C is defined as the square of the deformation gradient:

C = F²T × F

The left Cauchy-Green deformation tensor B is defined as the square of the transpose of the deformation gradient:

B = F × F²T

Calculating C:

C = F²T × F

C = 1 0 0

γ 2X2 0

0 0 1

1 γ 0

0 2X2 0

0 0 1

C =1+γ² γ 0

γ 4X2² 0

0 0 1

Calculating B:

B = F × F²T

B = 1 γ 0

0 2X2 0

0 0 1

1 0 0

γ 2X2 0

0 0 1

B = 1+γ² γ 0

γ γ²+4X2² 0

0 0 1

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In a normal distribution, the mean represents the center of the distribution and the standard deviation represents the spread of the distribution.

The higher the standard deviation, the more spread out the data is. The probability of a specific outcome occurring is given by the area under the curve of the normal distribution that corresponds to that outcome.

For example, if we wanted to find the probability of x being between 45 and 55, we would find the area under the normal curve between those two values. This can be done using a table of standard normal probabilities or by using a calculator or statistical software.

In general, if we know the mean and standard deviation of a normally distributed random variable, we can use that information to find probabilities for specific outcomes or ranges of outcomes.

you'll need to provide a specific range or value of X. Once you have that, you can use the Z-score formula or a standard normal distribution table to determine the probability.

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Answer:

Area = 13,898.5 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the area of the circle given the value of the diameter.

Mathematically, the area of a circle is;

A = pi * d^2/4

Where d here is 133 feet

A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2

Answer:

6 and 9.

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

3x-6=18

3x=18+6

3x=24

X=24÷3

X=8

Answer:

x=2

Step-by-step explanation:

,...................

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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The greatest number of equations are available in all the types specified in option A), option B) and option C). So 'all of the above' is the correct choice.

As given in the question,

Let us discuss

option A) Equations with no solutions

examples are:

x+ y = 0

x+ y = 1

Many such pairs of simultaneous linear equations can be formulated and number of such equations possible is infinite.

Let us discuss

option B) Equations with infinitely many solutions

example:

x+ y = 0

Number of such equations possible is infinite.

Let us discuss

option C) Equations with exactly one solution

example:

x=4

Number of such equations possible is infinite.

Therefore, the greatest number of equations are available in all the types specified in option A), option B) and option C). So 'all of the above' is the correct choice.

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Answer:

1000m = 1 km

:. 6000m=6000/1000 =6km ans

hope it helps

plz mark as brainliest.

Answer:

any point that x is 0

Step-by-step explanation:

Answer: the answer is x=38

Step-by-step explanation:

X-18=20 we see that 18 is being SUBTRACTED from the x which means we have to do the opposite of subtraction is addition so 20+18=38

To check: you can plug 38 for x and subtract it from 18

Demonstration: 38-18=20

X = 38

Step-by-step explanation:

X-18 = 20

we move the constants (numbers) to one side and keep the variable, unknown on the other side

X= 20+18 (we change the sign whenever we move something to the opposite side)

x= 38

Answer:  x = 4

Step-by-step explanation:

25-(x+3)=2(2x+1)                Distribute - on left side and 2 on the right side

25-x-3=4x+2                      Add or subtract the like terms

-x+22=4x+2                         Solve for x

-4x     -4x                             subtract -4x

-5x+22=2

    -22  -22                         subtract -22

-5x/-5= -20/-5                   divide -5 to get x alone

x= 4

Answer:

The second one

Step-by-step explanation:

Answer:

x=2 and y=10

Step-by-step explanation:

Answer:

x = 2 and y = 10

Step-by-step explanation:

Answer:

$186

Step-by-step explanation:

hourly wage: $10.50/hour

commission: 6%

5 hours + 9 hours = 14 hours

14 hours × $10.50/hour = $147

6% of $650 = 0.06 × $650 = $39

total: $147 + $39 = $186

Answer:

The possible coordinates of the midpoint are 3 and -3

Step-by-step explanation:

The given information are;

The coordinate of the point A on a (horizontal) number line = 0

The length of AR =

The coordinate of the midpoint of AR are given as follows;

Coordinate of the midpoint = Coordinate of A ± (Length of AR)/2 which gives;

The possible coordinates of the midpoint as 0 + 6/2 = 3 or 0 - 6/2 = -3

The possible coordinates of the midpoint are 3 and -3