A bakery sold 48 chocolate cupcakes in a day, which was 12% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Start from 7, then add 5 each time.

a7 is 7 plus 30, or 37.

The given values are inserted in the point-slope form which formed the equation 140 = -14x + 10 and has been graphed.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).

The y value of the y-intercept point is denoted by the symbol b in the formula.

The general form of a linear equation is y-y1=m(x-x1).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

So, in the given situation:
The point-slope form is: y = mx + b

Then y is y and b is the x value and m is the slope.

Now, insert values as follows:

y = mx + b

140 = -14x + 10

Graph the equation as follows:

(Refer to the graph attached below)

Therefore, the given values are inserted in the point-slope form which formed the equation 140 = -14x + 10 and has been graphed.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}\)

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

N is the number of observations in the data set.

It is given that:

The data set:

45, 76, 30, 22, 51, 40, 63, 66, 41

From the formula:

∑(x(i) - X)² = 2463.55

N = 9

SD = √(2463.55/9)

SD = 16.54

Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

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Percentage of field goals a football player is expected to make = 80%

Number of field goals he attempted in a game = 5

Number of field goals he will be expected to make :

= 80% of the number of field goals he had attempted

= 80% of 5

\( = \tt \frac{80}{100} \times 5\)

\( = \tt \frac{80 \times 5}{100} \)

\( = \tt \frac{400}{100} \)

\( \hookrightarrow \color{plum} \tt4 \: field \: \: goals\)

Thus, number of field goals he is supposed to make = 4

▪︎Therefore, the football player is expected to make 4 out of the 5 field goals he attempted.

The scale factor of the given parameters will be 1.75 and the length of qy is 2.37.

We have,

Point q as the center of dilation,

And,

Line wy is dilated to created line w'y',

And,

Length of yw' = 3.5,

And,

Length of qw = 2,

Also,

Length of qy' = 4.125,

Now,

First we will find out the length of qy,

i.e.

The lines are similar so in equal ratio,

i.e.,

qw : qy = qw' : qy'

Now,

Putting values,

i.e.

2 : qy = 3.5 : 4.15

on solving we get,

qy = 1.5

So,

The length of qy is 2.37.

Now,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image.

i.e.,

Scale factor = \(\frac{Change\ in\ size}{Original\ size}\)

So,

Scale factor = \(\frac{3.5}{2}\) = 1.75

Hence, we can say that the scale factor of the given parameters will be 1.75 and the length of qy is 2.37.

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Answer:

it is 2.75. and 1.5

Step-by-step explanation:

right on edge

Answer:

Explanation:

Here, we want to write the equation of a line in point-slope form

Mathematically, we have that as:

where m, which is the slope is -2/3 and (x1,y1) which is the point is (-3,2)

Substituting the values, we have it that:

Answer:

x= -(2y+7)/(4)

Step-by-step explanation:

4x+2y=7

4x = -2y+7

x= -(2y+7)/(4)

Answer:

x = \(\frac{7-2y}{4}\)

Step-by-step explanation:

4x + 2y = 7 ( subtract 2y from both sides )

4x = 7 - 2y ( divide both sides by 4 )

x = \(\frac{7-2y}{4}\)

Answer:

it takes him 0.7

Step-by-step explanation:

The equations of ellipses whose major axis lengths are twice their minor axis lengths are

To answer the question, we need to know what an ellipse is.

An ellipse is part of a conic section.

The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is

(x - h)²/a² + (y - k)²/b = 1

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/a² + (y - k)²/b² = 1

(x - h)²/(2b)² + (y - k)²/b² = 1

(x - h)²/4b² + (y - k)²/b² = 1

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/b² + (y - k)²/a² = 1

(x - h)²/b² + (y - k)²/(2b)² = 1

(x - h)²/b² + (y - k)²/4b² = 1

So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are

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Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is \(a^{2} +b^{2} =c^{2}\).

\(a^{2}\) and \(b^{2}\) are the sides of the triangle squared, AB and AC. \(c^{2}\) is the hypotenuse (the slanted side of the triangle) or BC.

So, \(12^{2} + 16^{2} =400^{2}\). Then you square root 400 to get your answer.

\(\sqrt{400}\) = 20.

20 is your answer.

The volume of the pyramid is approximately 574,533.33 cubic meters.

To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.

Given that the side length of the square base is 140 m and the height is 91 m.

Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.

Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.

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Step-by-step explanation:

1. iii.ooooooooooooooooooooooooooooooooooooooooooo

Answer:

5779 silver coins

Step-by-step explanation:

The probability of surviving such a quest is 99.9% with premium of 5,852 silver coins.

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 67,329 silver coins.

The probability that the insured would die = 100%-99.9% =0.1%

Therefore, the expected value of this insurance policy to the insurance company

\(=(5,852 X 99.9\%)+(-67,329 X 0.1\%)\\=(5,852 X 0.999)+(-67,329 X 0.001)\\=5778.82\\\approx 5779$ silver coins\)

The expected value of this insurance policy to the insurance company is  5779 silver coins.

Answer:

\(\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)\)

Step-by-step explanation:

Equation of the Parabola

The general form of the equation of the parabola is:

\(f(x)=ax^2+bx+c\)

We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).

However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:

\(f(x)=a(x-p)(x-q)\)

We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:

\(f(x)=a(x-1)(x+3)\)

We only need to find the value of a. We do that by using the point (-9,28):

\(28=a(-9-1)(-9+3)\)

Operating:

\(28=a(-10)(-6)=60a\)

Solving for a:

\(\displaystyle a=\frac{28}{60}=\frac{7}{15}\)

Thus, the equation of the parabola is:

\(\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}\)

Answer:

2, 9, 12

Step-by-step explanation:

We know that the first number is ten less than the third number and that the third number is one more than the first number and second number combined. Because of this, our third number has to be one away than the combination of the first two numbers. Now, we just have to see the numbers of the first two values and the first number is 10 less than the third number. You can mostly guess the numbers once you understand. I hope that this didn't confuse you more. Hope this helps!

Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The question in algebra is :

0.008x = 0.8

What is x?

To solve for x we divide both sides by 0.008

x = 0.8÷0.008

x = 100

Hope this helped and brainliest please

Answer:

A), C), E)

Step-by-step explanation:

The basis for Span{ p1, p2, p3 } is { p1, p2 } or equivalently { 1+t, 1-t }.

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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can use the normal distribution properties to find the percentage of IQ scores between 85 and 130.

Specifically, we can standardize the scores and use a normal distribution table or calculator to find the area under the curve between the z-scores corresponding to 85 and 130.To find the percentage of IQ scores between 85 and 130, we first need to standardize the scores by subtracting the mean and dividing by the standard deviation. This gives:

z1 = (85 - 100) / 15 = -1.00

z2 = (130 - 100) / 15 = 2.00

We can then use a normal distribution table or calculator to find the area under the curve between these two z-scores. For example, using a standard normal distribution table, we can find that the area to the left of z = -1.00 is 0.1587 and the area to the left of z = 2.00 is 0.9772. Therefore, the area between these two z-scores is:

0.9772 - 0.1587 = 0.8185

This means that approximately 81.85% of IQ scores are between 85 and 130. Alternatively, we can use a normal distribution calculator to find the same result. For example, using an online calculator, we can input the mean (100), standard deviation (15), and the lower and upper limits (85 and 130) and obtain a probability of 0.8185, or 81.85%.

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1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

60 seconds x 60 minutes = 3,600 seconds per hour

3,600 seconds per hour x 24 hours = 86,400 seconds per day.

The light flashes 5 times every 10 seconds:

5 flashes / 10 seconds = 1 flash every 2 seconds

86,400 seconds / 2 seconds = 43,200 flashes per day.

Answer:

Samantha drives 3,800 miles in 40 days.

Step-by-step explanation:

1 day = 95 miles so 40 days = 3,800

95 miles x 40 days = 3,800 miles

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

Answer:

Step-by-step explanation:

a False

b True

c True

d Falce

e True

f True

g False

h True

i True

j False

k True

l True

Answer:

Given the expression x2 + 16x.

If the quadratic equation is of the form ax2 + bx + c then to complete square

Step1: Take coefficient of x2 common from ax2 + bx + c,

⇒ a[x2 + (b/a)x + (c/a)]

Step2: Add and subtract (1/2 coefficient x)2 to quadratic term then,

⇒ a [(x + 1/2 coefficient x)2) + (c/a) - (1/2 coefficient x)2

⇒ a [(x + b/2a)2 + c/a - (b/2a)2]

Note that if the coefficient of x2 is 1 then we have to add (1/2 coefficient x)2 to convert it into perfect square expression.

Thus, in the given problem x2 + 16x.

1/2 coefficient of x = (1/2) × 16 = 8

We have to add 82 = 64, to convert it into a perfect square.

Therefore, 64 must be added to the expression to make it a perfect-square trinomial.

The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

The relative minima and maxima is calculated

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

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it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant

While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.

However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.

In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.

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Therefore , the solution of the given problem of expressions comes out to be (a²b⁴)(ab⁻²) = a³b² with positive exponents.

It is preferable to use shifting integer numbers that can be increasing, reducing, or blocking rather than approximations generated at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. A declaration of truth equation may include the justifications, components, and mathematical comments for strategies like extra disapproval, manufacture, and mixture.

Here,

The following exponent properties can be used to condense the equation (a 2 b 4) (ab -2) and express it using only positive exponents:

(a²b⁴)(ab⁻²) = a²⁺¹ b⁴⁻² = a³b²

a³b² is the simplified form of the equation (a²b⁴)(ab⁻²) with positive exponents.

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To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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