Write the following expression using an exponent.
1x7x7x7x7x7

Answer:

$100

Step-by-step explanation:

multiply 500 by 0.20

you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100

Answer:

The answer is A

Step-by-step explanation:

The minimum is 52 and the maximum is 65 therefore B and C are false.

Data set total number is 13 D medium is 56

so A is the correct answer

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

The instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:

[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

Where [tex]h[/tex] is the difference rate.

In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:

[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]

[tex]g(x) = \cos x[/tex]

Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:

[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]

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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.

The  instantaneous rate of change is given by the following formula;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]

The given function is;

[tex]\rm f(x)=sinx[/tex]

The function is also written as;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]

Substitute the value of x in the function

[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]

Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

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Answer: 144 cm^2

Step-by-step explanation:

i did the quiz

Answer:

144 cm²

Step-by-step explanation:

I took the K12 test

Answer:

  False

Step-by-step explanation:

The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.

  (1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3

The given equation is FALSE.

__

This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

Answer:

1.25m

Step-by-step explanation:

s=ut+1/2gt^2

Newton's second law of motion

F=ma

50x10

500N

500/50

g/a=10m/s^2

u=0m/s

s= 1/2gt^2

v=u+gt

5=0+(10t)

5=10t

t=0.5s

s=0.5×10×(0.5)^2

=1.25m

Answer:

im lost only because you made this so long

Step-by-step explanation:

Answer:

6 8/9 , 69/10 , 6.99 , 7.927

Step-by-step explanation:

[tex]\frac{69}{10} = 6.9[/tex]

[tex]6\frac{8}{9} = 6.8[/tex]

Answer:

The angle is approximately [tex]45^\circ[/tex].

Step-by-step explanation:

We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.

Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:

[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:

[tex]\tan{\theta}=\frac{166}{167}[/tex]

To get the angle, we need to use inverse tangent:

[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]

The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.

Step-by-step explanation:

every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

therefore,

angle XVY = 90°.

for VY we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).

XY = 2×ZY = 2×17 = 34.

so,

34² = 30² + VY²

VY² = 34² - 30² = 1156 - 900 = 256

VY = 16

Answer:

parallel

Step-by-step explanation:

If the distance between two lines never changes, they are parallel lines.

Answer:

parallel

Step-by-step explanation:

parallel lines never have a distance change between them

Answer:

  1

Step-by-step explanation:

The square of the value in the empty space is the constant in the expanded expression. That is ...

  [ ]² = 1

The value in the space is ...

  [ ] = √1 = 1

The filled-in equation is ...

  (3x -1)² = 9x² -6x +1

_____

The expansion of the square of a binomial is ...

  (ax -b)² = a²x² -2abx +b²

Above, we used the constant term to find 'b', but we could also have used the linear term:

  -6x = -2(3)bx . . . . . a=3 in this problem

  1 = b . . . . . . . divide by -6x

Answer:

13.5

Step-by-step explanation:

That is the mean between 6 & 21

Using proportions, it is found that the value of a is of 3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:

180º - [tex]\pi[/tex] rad.

540º - x [tex]\pi[/tex] rad.

Applying cross multiplication:

180x = 540.

x = 540/180 = 3.

The value of a is of 3.

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Using proportions, the value of a is 3.

Proportion is a mathematical comparison between two numbers.

When going from degrees to radians, 180 degrees is always going to equal π radians.

The conversion of angle from radian to degree;

[tex]\rm 180-\ 1 \\\\540-a[/tex]

The value of a is;

[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]

Hence, the value of a is 3.

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Answer:

Area of a Rectangular prism is

A = 2lh + 2lw + 2hw

Step-by-step explanation:

See picture above

Answer:

1376.1 ft^3

Step-by-step explanation:

The volume of a sphere formula: V=4/3πr^3

r = 6.9 ft

V = 4/3 * π * (6.9^3) = 1,376.055

to the nearest tenth it's 1376.1 ft^3

Answer:

1/18 x 9 x 1 = .5 cubic yards. Why would you ever waste time asking this....

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the volume. we can use volume of the cuboid formula

l = 1/18 yard

w = 9 yard

h = 1 yard

Volume = l*w*h

             [tex]= \dfrac{1}{18}*9*1\\\\\\= \dfrac{1}{2}\\\\\\= 0.5 \ \sf cubic yard[/tex]

0.5 cubic yards of cement is needed

Answer:

4t = 6(t - 1/2)

Step-by-step explanation:

For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

Answer:

amplitude = 2

Step-by-step explanation:

the amplitude is the distance from the x- axis(midline ) to the maximum value , that is

amplitude = 2

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Option B ( 2 ) ✓

OR,

[tex] \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

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Answer: 11 in

Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

Answer:

the answer is 40

Step-by-step explanation:

I took the test on dradpoint

Answer:

  a³ +b³ = (a +b)(a² -ab +b²)

Step-by-step explanation:

The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.

  a³ -b³ = (a -b)(a² +ab +b²)

  a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes

Answer:

[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]

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Answer:

10/4 in simplest form 5/2

Step-by-step explanation:

Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2