What is the measure of FSM

Answer:

7^1 = 7

Step-by-step explanation:

we need to find quotient of [tex]\frac{7^-1}{7^-2}[/tex]

The exponents are in division

When the base of exponents are same and  exponents are in division then we subtract the exponents

We apply the property [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]\frac{7^-1}{7^-2}=7^{-1-(-2)}=7^{-1+2}=7^1=7[/tex]

To simplify the expression 5^2-4/5+2, we first simplify the exponent, divide 4 by 5, and add the results together to get 129/5 or 25.8.

To simplify the expression 5^2-4/5+2, we need to follow the order of operations which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Using PEMDAS, we first simplify the exponent, so 5^2 = 5 x 5 = 25.

Next, we divide 4 by 5 to get 4/5.

Finally, we add 25 and 4/5 which can be written as 25 + 4/5. To add these two fractions, we need a common denominator which is 5. Converting 25 into a fraction with a denominator of 5 gives us 125/5. Adding 125/5 and 4/5 gives a result of 129/5. Therefore, the simplified expression is 129/5 or 25.8.

To determine how many times 15000 goes into 3000000, divide 3000000 by 15000. The answer is 200.

To find out how many times 15000 goes into 3000000, we need to perform a simple division.

We divide 3000000 by 15000:

3000000 ÷ 15000 = 200

Thus, 15000 goes into 3000000- 200 times.

Answer:

X-Intercept: [tex]\frac{4}{-12}[/tex]

Y-Intercept: -4

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

The X and Y intercepts show at what points the function values cross the X and Y axis. We can solve for the X-intercept by substituting the value of y for 0 and then solving for x. Like so...

[tex]0=-12x-4[/tex] .... add 4 on both sides

[tex]4=-12x[/tex] ... divide both sides by -12

[tex]\frac{4}{-12}[/tex] = -x

Now we can see that the X-Intercept is [tex]\frac{4}{-12}[/tex] . Now we substitute 0 for x and solve for the Y-intercept.

[tex]y=-12(0)-4[/tex]

[tex]y= -4[/tex]

Finally we can see that the Y-intercept is -4

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

To determine how many gallons Hanks' pickup will need to travel 26 miles, a proportional relationship was used based on the known mileage of traveling 52 miles on 4 gallons. The calculation revealed that 2 gallons of gas will be needed for the 26-mile journey.

The student's question about fuel consumption can be solved using a simple proportional relationship. Since Hanks' pickup can travel 52 miles on 4 gallons of gas, we can find out how many gallons will be necessary to travel half of that distance, which is 26 miles. By setting up a proportion, we can find the answer.

Steps to solve the problem:

Therefore, Hanks' pickup will need 2 gallons of gas to travel 26 miles.

The pickup truck will need 2 gallons of gas to travel 26 miles.

To find out how many gallons the pickup will need to travel 26 miles, we can set up a proportion using the given information.

Since the pickup can travel 52 miles on 4 gallons of gas, the rate of miles per gallon is 52 miles/4 gallons = 13 miles/gallon.

Using this rate, we can set up the proportion: 13 miles/gallon = 26 miles/x gallons. Solving for x, we can cross multiply and divide: 13x = 26 * 1, x = 26/13 = 2.

Therefore, the truck will need 2 gallons of gas to travel 26 miles.

The bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The speed of the bus = 65 km/h

The time taken = 7 hours

As we know,

The formula for finding the distance is given:

Distance = time×speed

Distance = 7x65

Distance = 455 km

Thus, the bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

Learn more about the distance here:

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Final answer:

The expression 2√ -32 is equal to 8i√2

Explanation:

To find an expression equal to 2√ -32, we need to recall that the square root of a negative number involves an imaginary unit i. The square root of -1 is defined as i. Thus, we can rewrite the expression as:

2√ -32 = 2√(-1 × 32) = 2√(-1)√(32) = 2i√(16 × 2) = 2i × 4√2 = 8i√2.

which is found by using the property that the square root of -1 is the imaginary unit i.

This demonstrates that the correct expression equivalent to the original one is 8i√2.

90 hundreds = 90 * 100 = 9000

9000 = 9 thousands

To multiply exponentials, multiply the base numbers and add exponents. Adjust the format to have one digit before the decimal, if necessary. To divide, divide the base numbers and subtract the exponents.

To deal with the multiplication of exponentials, simply multiply the base numbers (digits) as you normally would, and then add the exponents. Remember to keep the result in the acceptable form, meaning that for a number like 2.4×10⁴, there should be only one digit to the left of the decimal point. To handle negative exponents, add them as usual, and adjust the exponent to maintain a positive value. For dividing exponentials, you divide the base numbers and subtract the exponents.

Here's a step-by-step example for multiplication: Suppose you have 5.1×10³ and 4.2×10⁴. You multiply the base numbers to get 21.42, and then add the exponents (3+4) to get 7, which gives you 21.42×10⁷. To adjust the number to proper form, you would change it to 2.142×10⁸. For squaring an exponential like 3×10², you'd square the 3 to get 9 and multiply the exponent by 2 to get 4, leading to 9×10⁴.

When squaring exponential terms, square the digit term and multiply the exponent by 2. For instance, (2×10²)² equals 4×10⁴. And remember, any number to the power of zero equals one, as 0 exponent implies no multiplication of the base number, leaving us with the implicit base of multiplication which is 1.

1st number = x

2nd number = x-4

 3rd number = 4x

now you have x + x-4 +4x = 62

combine like terms

6x-4 = 62

add 4 to each side

6x = 66

divide both sides by 6

x = 66/6 = 11

1st number = 11

 2nd number = 11-4 = 7

 3rd number = 4*11 = 44

11+7+44 = 62

Answer:d

Step-by-step explanation:test

just replace the value in the appropriate equation:

a) says f(-2)

 so use the f equation above it and replace x with -2

f(x) = 3x-5 becomes f(-2) = 3x-5 =

3(-2)-5 = -6-5 = -11

 for b use the equation for h and replace x with -5

so x^2 - 6 = -5^2 - 6 = -31

 for c use the equation for g and replace x with (a+b)

-7x+3 =

-7(a+b)+3 = -7a-7b+3

Answer:

24x + 32

Step-by-step explanation:

Answer:

24x+32

Step-by-step explanation:

trust

The equation c = 2.50(n - 2) + 4.50 represents the cost of printing n invitations, with $4.50 being a fixed cost and $2.50 as the additional cost per invitation after the first two. Thus, the statement that A. each invitation costs $4.50 to print is not true.

The function in question, c = 2.50(n – 2) + 4.50, represents the total cost c of printing n invitations. To determine which of the provided statements is not true, we can analyze the components of the equation:

Analyzing the provided options:

Therefore, the answer to the student's question is option A: Each invitation costs $4.50 to print is not true.