Obelus is an alternative name for which mathematical symbol?.

Answer: y=10x +6

Step-by-step explanation:

The slope is 10 and the line will cross the y-axis at 6.

Answer:

Step-by-step explanation:

=(37 * 45 ) + (63 * 45 )

=1665 + 2835

=4500

Answer:

Step-by-step explanation:

\(\tt 37\times 45\times63\times45\)

\(\tt 1665\times63\times45\)

\(\tt 104895\times 45\)

\(\tt 4720275\)

____________________

Hope this helps you!

Have a great day! :)

It is false that the probability of the union of two events can be more than the probability of the intersection of the two events occurring.

This is because when two events intersect, the intersection of the two events refers to the occurrence of both events at the same time, while the union of the two events refers to the occurrence of either event or both events at the same time. therefore, the union of two events can have a higher probability of occurring than the intersection of two events since the union includes the possibility of both events occurring, while the intersection does not.

For example, let us consider two events, A and B. Event A has a probability of 0.3, and event B has a probability of 0.4. The probability of the intersection of these two events is 0.12(0.3 X 0.4) while the probability of the union of these two events is 0.7(0.3+0.4-0.12). As seen in this example, the probability of the union of two events (0.7) is greater than the probability of the interaction of two events(0.12)

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The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Answer: 4

Step-by-step explanation: 10, 6, 4, 4, 6, 4, 1.

In total, there are seven numbers.

The fourth number, number four (4), is the middle because it's in the middle.

The probability of three people sharing the same birthdays is approximately \(0.0000075\) or \(0.00075\)%, and there are three different pairs of people when there are three humans.

In conclusion, the probability of three people sharing the same birthdays is extremely low (approximately \(0.0000075 \ or \ 0.00075\%\)), and when there are three humans, there exist three different pairs of people.

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Answer:

I got you!

a ≤ 11

For more info, look at the steps in the attached image!

Step-by-step explanation:

Answer:

a ≥11

Step-by-step explanation:

\(21 \geqslant 3a - 21 + 9 \\ 21 \geqslant 3a - 12 \\ 21 + 12 \geqslant 3a - 12 + 12 \\ 33 \geqslant 3a \\ 3a \leqslant 33 \\ a \geqslant 11\)

Answer:

aprox. 5537.84

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

-

Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Step-by-step explanation:

ranges are,

-1 , -11 and 7

hope this answer helps you dear!

Answer:

R = { - 11, - 1, 7 }

Step-by-step explanation:

Substitute the values from the domain into f(x) for range

f(2) = - 2(2)² + 7 = - 2(4) + 7 = - 8 + 7 = - 1

f(- 3) = - 2(- 3)² + 7 = - 2(9) + 7 = - 18 + 7 = - 11

f(0) = - 2(0)² + 7 = - 2(0) + 7 = 0 + 7 = 7

Then

R = { - 11, - 1, 7 }

Answer:

7d+11

Step-by-step explanation:

Pretty much just addition.

3d+4d+2+9

(3d+2)+(4d+9) = 7d+11.

The penny takes approximately 8.826 seconds to hit the ground, and its speed at the time of impact is approximately 282.432 ft/s.

To calculate the time it takes for the penny to hit the ground, we can use the equation of motion for free-falling objects. In this case, the initial position is 1250 ft (the height of the building), and the final position is 0 ft (the ground level). The acceleration due to gravity is approximately 32.2 ft/s².

Using the equation:

s = ut + (1/2)at²

Where:

s = displacement (final position - initial position)

u = initial velocity (0 ft/s since it's released from rest)

t = time

a = acceleration due to gravity (-32.2 ft/s²)

Substituting the known values:

-1250 = 0t + (1/2)(-32.2)t²

Simplifying the equation:

-16.1t² = -1250

Solving for t:

t² = 1250 / 16.1

t ≈ 5.02 seconds

Therefore, it takes approximately 5.02 seconds for the penny to hit the ground.

To determine the speed at the time of impact, we can use the equation:

v = u + at

Where:

v = final velocity (speed at the time of impact)

u = initial velocity (0 ft/s)

a = acceleration due to gravity (-32.2 ft/s²)

t = time (5.02 seconds)

Substituting the known values:

v = 0 + (-32.2)(5.02)

v ≈ -161.44 ft/s (negative sign indicates downward direction)

The speed at the time of impact is the magnitude of the velocity, so the final answer is approximately 161.44 ft/s.

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Write both sides as powers of 2:

\(4^x=(2^2)^x=2^{2x}\)

\(\left(\dfrac18\right)^{x+5}=8^{-x-5}=(2^3)^{-x-5}=2^{-3x-15}\)

Since both powers of 2 are equal, the exponents are equal:

2x = -3x - 15

5x = -15

x = -3

Answer: (A) 72

Step-by-step explanation:

1. 12m x 2m = 24

2. 12m x 4m = 48

3. add both answers together 24m + 48m = 72

Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Hello,

The temperature changes at rate of -1.5 degree celsius every hours and the reading of temperatures starts at 0 degree celsius which can be modeled into the linear equation of f(t) = -1.5t where f(t) is the temperature function and t is time.

The problem then asks, “what was the temperature 7 hours ago?” This question asks for the temperature 7 hours ago which means t = -7 in this case since we are solving for temperature 7 hours ago, not next 7 hours.

Time being negative in this scenario means in past or hours ago, generally time cannot be negative as it’s scalar quantity.

Substitute t = -7 in the temperature function, this’ll result in:

Therefore, 7 hours ago, the temperature was at 10.5 degree celsius. Please let me know if you have any questions!

The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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Answer:

\( \frac{1}{m - n} - \frac{m + n}{m {}^{2} - n {}^{2} } \)

Factor if necessary:

x²-y²=(x+y)(x-y) use this formula

\(\frac{1}{m - n} - \frac{m + n}{ {(m + n)(m - n)}}\)

\(\frac{1}{m - n} - \frac{1}{ {(m - n)}}\)

Take lcm and subtract:

=0

Answer:

0

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

→ 1/ ( m - n) - (m + n)/ ( m² - n² )

→ 1/ ( m - n) - ( m + n)/(m+n)(m-n)

→ 1/( m - n) - 1/ ( m - n)

→ 0

The correct option is C, Prices have increased about 16-fold over the last 80 years, assuming an average annual U.S. inflation rate of 4 percent.

The inflation rate is a measure of the rate at which the general level of prices for goods and services is rising over a period of time, usually a year. It is typically expressed as a percentage increase or decrease in the average price level of a basket of goods and services over a certain period of time.

Here, the price index is a weighted average of the prices of a specific set of goods and services. The inflation rate is a key indicator of the overall health of an economy, as high inflation can erode purchasing power and reduce the standard of living for individuals, while low or negative inflation can lead to economic stagnation or deflation. Governments and central banks closely monitor inflation rates to ensure that they remain within a targeted range, typically around 2-3% per year, through the use of monetary and fiscal policies.

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The sides of the triangle are;

c = 5√2

b = 3√3

A right triangle is a triangle that has a right angle that measures 90 degrees. The hypotenuse, which is the side that faces the right angle, is the longest side. The right triangle's other two sides are referred to as its legs.

1) Cos 45 = 5/c

√2/2 = 5/c

c√2 = 10

c = 10/√2

c = 5√2

2) Tan 30 = b/3

√3/3 = b/3

3√3= 3b

b = 3√3/3

b = 3√3

We have used to concept of the special angles to solve the problem above.

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To find an expression for the area under the graph of f(x) = x^2 * e^x using the right endpoints as a limit, we can use the definition of the Riemann sum.

The Riemann sum with the right endpoints is given by:

A = lim(n → ∞) ∑[i=1 to n] f(xi) * Δx

where A represents the area under the curve, n is the number of subintervals, xi represents the right endpoint of each subinterval, and Δx is the width of each subinterval.

In this case, the function is f(x) = x^2 * e^x, and the interval of integration is 0 ≤ x ≤ 5.

Using the right endpoints, we can divide the interval [0, 5] into n equal subintervals of width Δx = 5/n. The right endpoints of these subintervals will be xi = i * Δx, where i ranges from 1 to n.

Thus, the expression for the area under the graph of f(x) as a limit is:

A = lim(n → ∞) ∑[i=1 to n] (xi)^2 * e^xi * Δx

This expression represents the Riemann sum as a limit and can be used to approximate the area under the curve f(x) = x^2 * e^x.

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Answer:

None of the above

Step-by-step explanation:

Square root of 2.25 is 1.5, not 1.4

Answer:

none of the above

Step-by-step explanation:

did it on khan

Answer:

100+20x I think

Step-by-step explanation:

he starts at 100 then he adds 20 a month and the x would represent the number of months.

Answer:

Simplest form = -w - 2

Step-by-step explanation:

Given expression,

→ -24 - 12w

→ -12w - 24

Simplifying the expression,

→ -12w - 24

→ (-12w - 24)/12

→ -w - 2

Hence, the answer is -w -2.

Identify the predictor and response variables, then create a scatterplot in Minitab. Characterize the association between the variables as linear or nonlinear and negative, none, or positive.

In exploratory data analysis, the first step is to identify the research question and the two variables of interest. The predictor variable (also known as the explanatory variable or independent variable) is the one that is used to explain or predict the outcome of the response variable (also known as the dependent variable).

After identifying the two variables, one can use software such as Minitab to create a scatterplot of the data. The scatterplot helps to visualize the relationship between the two variables.

To characterize the association between the two variables, we would first determine if the relationship appears to be linear or nonlinear. If the relationship is roughly linear, we would then determine if it is negative (meaning that as one variable increases, the other tends to decrease), positive (meaning that as one variable increases, the other tends to increase), or none (meaning that there is no clear trend).

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Answer:

=1.3

Step-by-step explanation:

Combine multiplied terms into a single fraction

0

.

6

5

=

0

.

5

0.65=0.5c

0.65=0.5c

0

.

6

5

=

1

2

0.65=\frac{1c}{2}

0.65=21c​

2

Multiply by 1

3

Multiply all terms by the same value to eliminate fraction denominators

4

Cancel multiplied terms that are in the denominator

5

Multiply the numbers

6

Move the variable to the left

Solution

=1.3

Answer:

c = 1.3

Step-by-step explanation:

0.65 = 0.5c ( divide both sides by 0.5 )

\(\frac{0.65}{0.5}\) = c , that is

c = 1.3