Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.

Answer:

12

Step-by-step explanation:

substitute x = 7 into the equation:

[tex]4 (7-4)\\4(3)\\12[/tex]

Answer:

12

Step-by-step explanation:

First, you insert the 7 in place of the x. Then you do what is in the parenthesis, according to PEMDAS. 7-4 = 3. You end up with 4(3). You then do distributive property and you end up with 12.

Answer:

4??????????????

Step-by-step explanation:

&÷&$^#£#*$,$

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

y =2x-1

Step-by-step explanation:

Answer:

Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right

Answer:-5

Step-by-step explanation:

m is considered the slope

y=mx-15

And in this situation m=-5

So slope = -5

Answer:

3 one

Step-by-step explanation:

seems logical hope this helped

Answer:

2.95

Step-by-step explanation:

2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.

Answer:

The answer is A.

Step-by-step explanation:

In a linear equation, y = mx + b where b represent y-intercept.

y-intercept is the point where it touches y-axis, so the value of x is 0.

The y-intercept of the given equation is (0, 75). Therefore, option A is the correct answer.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation of a line is y=8x+75.

To find the y-intercept, set x = 0 and solve for y.

Here, substitute x=0 in y=8x+75, we get

y=8(0)+75

y=75

So, the y-intercept is (0, 75)

Therefore, option A is the correct answer.

To learn more about the y-intercept visit:

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Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

Answer: 3 feet tall

Step-by-step explanation:

50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.

Answer:

I think that the answer is 12x<150

Answer:

12x<150

Step-by-step explanation:

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1

Answer:

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Step-by-step explanation:

The weights should be within 0.5% of the actual weight measured.

15.0 pounds

0.005*15 = 0.075

Tolerance of 0.075 pounds

15 - 0.075 = 14.925 pounds

15 + 0.075 = 15.075 pounds

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

Answer:

Constant is 6 and the variable is a

Answer:

C

Step-by-step explanation:

A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.

Answer:

45%

Step-by-step explanation:

40 * .45 = 18

40-18 = 22

The percentage decrease of an item would be 45%.

The percentage is defined as a ratio expressed as a fraction of 100.

We can determine the value of the percentage decrease by the following formula,

percentage decrease = (initial value - reduced value) / initial value × 100%

As per the given question, we have

initial value = $40, and reduced value = $22

Substitute the values in the above formula, and we get

percentage decrease = (40 - 22) / 40 × 100%

percentage decrease = (18) / 40 × 100%

percentage decrease = 0.45 × 100%

Apply the multiplication operation, and we get

percentage decrease = 45%

Thus, the percentage decrease of an item would be 45%.

Learn more about the percentages here:

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Answer:

oh my :o

Ok so just mutiply

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

Answer:

28.911

Step-by-step explanation:

you just have to open up a calculator lol

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

Answer:

0.1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

0.06 divided by 0.60 = 0.1