Please help me with this question.

Answer: 69

Step-by-step explanation:

In the equation 692 = 4,761, we can see that 692 is being multiplied by some number to get 4,761. To find that number, we can divide 4,761 by 692:

4,761 / 692 = 69.

So, 4,761 / 69 = 69

In this case, 692 is being multiplied by 69 to get 4,761, so 69 is the value we get when we divide 4,761 by 69.

The value of the specified finite sum is -15.

The correct option is D.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given:

The finite sum,

[tex]\sum^n_{k=1}{a_k = 5[/tex],

and [tex]\sum^n_{k=1}{b_k = 10[/tex].

Now,

[tex]\sum^n_{k=1}{a_k -2b_k = \sum^n_{k=1}{a_k -2\sum^n_{k=1}{b_k[/tex]

Substituting the values,

[tex]\sum^n_{k=1}{a_k -2b_k[/tex] = 5 - 20

                      = -15

Therefore, the value is -15.

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Answer:

0.7 mile high

Step-by-step explanation:

tan 30 = height /1.2

so height =1.2 *tan30 = 1.2*0.58 = 0.7

Marco pays $1008  for for his credit card, groceries, and rent.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Marco budgets $1,600 a month for expenses.

According to the graph he pays 4% of credit card

Now let us find 4% of 1600

4/100×1600

0.04×1600

$64 Marco pays for credit card.

From graph, he pays 17% for groceries

17% of 1600

17/100×1600

0.17×1600=$272

$272 Marco pays for Groceries.

From graph, he pays 42% for rent

42/100×1600

0.42×1600=672

$672 Marco pays for Rent.

Hence, Marco pays $1008  for for his credit card, groceries, and rent.

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The scale factor for each of the dilation is given as -

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor. It also tells by how many times is {y}, greater than {x}.

Given is a line segment and its dilated image.

The scale factor is given by -

K = y/x

[1] -

K₁ = 18/12 = 3/2

[2] -

K₂ = 8/12 = 2/3

[3] -

K₃ = 12/12 = 1

[4] -

K₄ = 6/12 = 1/2

Therefore, the scale factor for each of the dilation is given as -

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Answer:

y = -1/2

Step-by-step explanation:

We are given the equation -10 - 8y = 2y - 5.

We want to solve this equation for y.

To do that, we need to isolate y on one side of the equation.

To start, add 10 to both sides.

-10 - 8y = 2y - 5

+10               +10

________________

-8y = 2y + 5

Subtract 2y from both sides.

-10y = 5

Divide both sides by -10.

y = -5/10

-5/10 can be simplified to -1/2.

Hence, y = -1/2.

Answer:

You could convert 21/2 to a whole number by multiplying it by 2 and then dividing by 2, so 21/2 = 21/2 = 10.5, then dividing the total by the number of people that is 10.5 / 7 = 1.5 glasses/person.

Answer: The probability that a waitress will refuse to serve alcoholic beverages to only three minors if she randomly checks the IDs of five students from among ten students of which four are not of legal age is 0.288 or 28.8%.

Step-by-step explanation:

he probability of a waitress refusing to serve alcoholic beverages to only three minors if she randomly checks the IDs of five students can be calculated using the binomial probability formula.

The binomial probability formula is: P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where:

x = the number of successful outcomes (in this case, the number of minors refused service)

n = the total number of trials (in this case, the number of IDs checked)

p = the probability of a successful outcome in a single trial (in this case, the probability that a randomly chosen student is a minor)

In this case:

x = 3 (the number of minors refused service)

n = 5 (the number of IDs checked)

p = 4/10 (the probability that a randomly chosen student is a minor)

So, the probability of a waitress refusing to serve alcoholic beverages to only three minors if she randomly checks the IDs of five students can be calculated as:

P(3) = (5 choose 3) * (4/10)^3 * (6/10)^2 = (10/3) * (0.16) * (0.36) = 0.288

Therefore, the probability of a waitress refusing to serve alcoholic beverages to only three minors if she randomly checks the IDs of five students is 0.288 or 28.8%.

It's worth noting that this problem assumes that the waitress randomly chooses the 5 students, if the waitress doesn't pick them randomly the result may be different.

The mental math for the fraction is shown below.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Model: 1 1/4 + 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4

Now, if we use mental math then we can add the whole number first.

1 + 2 + 3 + 4 + 5 + 6 = 21

Now, add the fraction with same denominator

1/3 + 2/3 = 3/3 = 1

1/2 + 1/2 = 1

1/4 + 3/4 = 4/4 = 1

Finally add all of them

21 + 1+ 1 +1= 24.

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The graph that shows that y is less than or equal to 3x - 4 is plotted and attached

The graph is plotted by forming a table of value, then tracing eaching point in the table and marking the points of intersection of the x and y

The points intersections later joined with a line

The table of value is formed for x = -2, 0, and2

y ≤ 3x - 4

for x = -2, y ≤ 3 * -2 - 4 = -10

for x = 0, y ≤ 3 * 0 - 4 = -4

for x = 2, y ≤ 3 * 2 - 4 = 2

table of value

x      y

-2    -10

0     -4

2      2

The graph is attached, the line is a solid line since the inequality is less than or "equal to". The shading is below because it is less than

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The given expression can be as 2 + i as a complex number standard form.

The combination of a number and an imaginary number is a complex number. Complex numbers are symbolized by the symbol z and have the form a + ib. a and b are said to be real numbers.

The imaginary portion of the complex number can be represented by the letter i called the iota.  

Here i² = -1

Here we have

 [tex]\frac{4 +\sqrt{16 - 4(5)}}{2}[/tex]    

The above expression can be simplified as follows

=>  [tex]\frac{4 +\sqrt{16 - 20}}{2}[/tex]  

=>  [tex]\frac{4 +\sqrt{- 4}}{2}[/tex]    

As we know, [tex]i^{2} = -1[/tex]  

=>  [tex]\frac{4 +\sqrt{i^{2} (2)^{2} }}{2}[/tex]  

=> [tex]\frac{4+2i}{2}[/tex]  

=> [tex]\frac{2(2+i)}{2}[/tex]  

= 2 + i  

Therefore,

The given expression can be as 2 + i as a complex number standard form.

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The computation of sin^3(x) + cos^3(x) is mathematically given as (2/5)(1 - sin(x)cos(x))

Generally, The study of the connections between the lengths of the sides of triangles and the angles of those triangles is the subject of the mathematical discipline known as trigonometry.

Applications of geometry to astronomical research gave rise to the discipline in the Hellenistic civilization during the third century B.C.

To compute sin^3(x) + cos^3(x), we can use the identity:

sin^3(x) + cos^3(x) = (sin(x) + cos(x))(sin^2(x) - sin(x)cos(x) + cos^2(x))

We know that sin(x) + cos(x) = 2/5, so we can substitute this into the above equation: sin^3(x) + cos^3(x) = (2/5)(sin^2(x) - sin(x)cos(x) + cos^2(x))

We also know that sin^2(x) + cos^2(x) = 1, so we can substitute this into the above equation:

sin^3(x) + cos^3(x) = (2/5)(1 - sin(x)cos(x))

Then we can simplify the above equation:

sin^3(x) + cos^3(x) = (2/5)(1 - sin(x)cos(x))

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Answer:

So the slowest time she could have run is 13.99 seconds, as any time greater than that would have been rounded up to 14 seconds.

Step-by-step explanation:

Ingrid's time of 13.9 seconds was originally measured to 2 decimal places, which means that her actual time could be rounded to 13.9 seconds. To find the slowest time she could have run, we need to find the greatest value that could have been rounded down to 13.9 seconds.

Since the time was measured to 2 decimal places, this means that the hundredths place is known and the thousandths place can be anything between 0 and 9. So the slowest time she could have run is 13.99 seconds, as any time greater than that would have been rounded up to 14 seconds.

Answer:

[tex]r=\left(\dfrac{y}{P}\right)^{\frac{1}{x}}-1[/tex]

Step-by-step explanation:

Given exponential function:

[tex]f(x)=P(1+r)^x[/tex]

Replace f(x) with y:

[tex]y=P(1+r)^x[/tex]

Divide both sides by P:

[tex]\dfrac{y}{P}=(1+r)^x[/tex]

Take natural logs of both sides:

[tex]\ln \left(\dfrac{y}{P}\right)=\ln (1+r)^x[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\ln \left(\dfrac{y}{P}\right)=x \ln (1+r)[/tex]

Divide both sides by x:

[tex]\dfrac{1}{x}\ln \left(\dfrac{y}{P}\right)=\ln (1+r)[/tex]

[tex]\textsf{Apply the power law}: \quad n \ln x=\ln x^n[/tex]

[tex]\ln \left(\dfrac{y}{P}\right)^{\frac{1}{x}}=\ln (1+r)[/tex]

Raise both sides to power of e:

[tex]\large\text{$e^{\ln \left(\frac{y}{P}\right)^{\frac{1}{x}}}=e^{\ln (1+r)}$}[/tex]

[tex]\textsf{Apply the power law}: \quad e^{\ln x}=x[/tex]

[tex]\left(\dfrac{y}{P}\right)^{\frac{1}{x}}=1+r[/tex]

Subtract 1 from both sides:

[tex]\left(\dfrac{y}{P}\right)^{\frac{1}{x}}-1=r[/tex]

Therefore, the equation to find r is:

[tex]r=\left(\dfrac{y}{P}\right)^{\frac{1}{x}}-1[/tex]

3 of mixed cereal and 2 of tropical fruit

Answer:

0.124176

Step-by-step explanation:

.06 x .995 x 1.3 x 1.6= 0.124176

You change a percent into a decimal by dividing it by 100%

The altitude of the hill whose top rises 64 feet above checkpoint -213, is 277 feet above sea level.

The altitude refers to the vertical distance or height of an object or point in relation to sea level (true altitude) or ground level (absolute altitude).

The altitude of a hill refers to its height measured from the ground level or the sea level, as the case may be.

In this situation, we can compute the altitude of the hill as the difference between the rise of the hill or mountain above the checkpoint and the given checkpoint.

The rise of the top of a hill = 64 feet

Given checkpoint = -213

The altitude of the hill = 277 feet [64 - (-213)]

Thus, the position or altitude of the hilltop in relation to the ground or sea level is 277 feet.

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Considering the context of the question and the percentage analysis, it is concluded that a 38.64% charge has been hiked in the price of the ticket and if the extra $50 is charged for the baggage fee the hike is 61.36%.

A percentage is a number or ratio indicated as a fraction of 100. To get the percentage of any number, such number will be divided by the number of the whole and multiplied by 100. Hence, the percentage means, a part per hundred

In this case, Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Orlando was $220. Now the cost is $305

Hike in price = 305 - 220 = 85

Hike % = 85/220 * 100% = 38.64%

When the extra charge is $50 for extra baggage, the total price = is $355

Hike in price = 355 - 220 = 135

Hike % = 135/220 *100% = 61.36%

Hence, in this case, it is concluded that a 38.64% charge has been hiked in the price of the ticket and if the extra $50 is charged for the baggage fee the hike is 61.36%

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Answer:

The annual passenger revenue of the rail transport corporation was $930 million when:

R = 930

-20|t-15| + 1,010 = 930

-20|t-15| = 80

|t-15| = 4

So, we can see that t-15 = 4 and t-15 = -4 both lead to an annual revenue of $930 million dollars.

To find the values of t, we add 15 to both sides of the equation:

t-15 = 4 => t = 19

t-15 = -4 => t = 11

So, the years where the passenger revenue was $930 million are:

2011

2019

Answer:

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

So, using the given measurements, we can substitute in the values and solve for the volume:

V = π(1.9 cm)^2(8.9 cm) = 301.958 cm^3

Rounded to the nearest tenth, the volume of the can is 301.9 cm^3.

Step-by-step explanation:

The larger acute angle in the right triangle is 60°

A triangle with at least one angle a right angle, is called a right triangle.

Given that, In a right triangle, cos (9x) = sin (6x - 10)°.

We know that, sine and cosine of an angle are supplementary.

Therefore,

9x+6x-10 = 90

15x = 100

x = 20 / 3

Therefore, sin(6(20/3)-10)°

= sin(30)°

And also,

cos(9(20/3)

= cos(60)°

Hence, the larger angle is in the triangle is 60°

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Answer: An obstacle course is a series of challenging physical obstacles that must be completed in order to finish the course. To find out how many kilometers long the obstacle course is, you need to add up the distance that Caleb runs, jumps crawls, and dribbles.

First, we need to convert the 500 meters to kilometers by dividing it by 1000.

500 meters / 1000 = 0.5 kilometers

Then, we need to add the distance that Caleb crawls through the tunnel, which is 20 meters.

20 meters = 0.02 kilometers

Finally, we need to add the distance that Caleb dribbles the soccer ball, which is 100 meters.

100 meters = 0.1 kilometers

To find the total distance of the obstacle course, we need to add the distance that Caleb runs, jumps, crawls, and dribbles:

0.5 + 0.02 + 0.1 = 0.62 kilometers

So the obstacle course is 0.62 kilometers long.

Step-by-step explanation:

Answer:

given that z=3 and w=2

10z+5w

now by putting the values of z and w

10(3) + 5(2)

30 + 10

40 is your correct answer

[tex]\textit{Horizontal Range}\\\\ R=\cfrac{(v_0)^2\cdot \sin(2\theta )}{g} ~~ \begin{cases} v_o=\textit{initial velocity}\\ \theta =\textit{initial angle}\\ g=gravity\\[-0.5em] \hrulefill\\ v_o=100\\ \theta =45^o\\ g\approx 32~\frac{ft}{s^2} \end{cases}\implies R\approx\cfrac{(100)^2 \sin(2\cdot 45^o)}{32} \\\\\\ R\approx\cfrac{10000\sin(90^o)}{32}\implies R\approx\cfrac{10000(1)}{32}\implies R\approx 312.5~ft[/tex]

The mean number of goals for two seasons is 2.44 goals per match.

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

Given, Last season Rio's football team scored 50 goals in 20 matches.

This season they scored 60 goals in 25 matches.

Therefore, The mean number of goals per match for each season is,

= (50 + 60)/(20 + 25).

= 110/45.

= 2.44 goals per match.

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Answer:

sight line & horizontal line

Step-by-step explanation:

varsitytutrs

The annual salary of the man is Rs 780,000 and his total taxes is given by the relation T = Rs 9,000

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Since the man's monthly salary is Rs 65,000, his annual salary would be:

Annual salary = Monthly salary x 12

Annual salary = 65,000 x 12

Annual salary = 780,000

His annual salary of Rs 780,000 falls in the third tax bracket which is from 750,001 to 2,000,000.

So, the tax rate applicable to him would be 30%.

To calculate the amount of tax he would have to pay, we can use the formula:

Tax amount = Tax rate x Taxable income

where taxable income is the income above the lower limit of the tax bracket.

In this case, the taxable income would be:

Taxable income = Annual income - Lower limit of tax bracket

Taxable income = 780,000 - 750,001

Taxable income = 29,999

So, the amount of tax he would have to pay would be:

Tax amount = 30% x 29,999

Tax amount = 8,999.7

Rounding this to the nearest rupee gives us:

Tax amount = Rs 9,000

Hence , the man would have to pay Rs 9,000 in taxes on his annual salary of Rs 780,000.

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Therefore, the number of seats for each aircraft is 752, 688, and 1224.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.

Let x be the number of seats for the second aircraft.

The first aircraft has x + 64 seats.

The third aircraft has 2x - 152 seats.

The total number of seats for all aircraft is x + (x + 64) + (2x - 152) = 1900.

Therefore, 3x = 2064, so x = 688.

The first aircraft has 688 + 64 = 752 seats.

The third aircraft has 2(688) - 152 = 1224 seats.

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