plz help which expression is equivalent to 4-2/2^-3

8

16

-8

-16

Answer:

B: 5^4

Step-by-step explanation:

however many of the same numbers is the little exponent

Exponent means exactly repeated multiplications of the same number: [tex]a^b[/tex] means that you have to multiply [tex]a[/tex] by itself [tex]b[/tex] times.

So, [tex]5\times5\times5\times5[/tex] means to multiply 5 by itself 4 times, which is written as [tex]5^4[/tex].

Answer:

25h-35=440

440+35=25h

475=25h

475÷25=h

h=19

19 hours

It will take 19 hours of lessons.

An equation is formed of two equal expressions. The answer describes the correct solution for the situation It will take 19 hours of lessons. The correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Ahmet rents a piano for $35 per month. He earns $25 per hour giving piano lessons to students. Therefore, the profit earned by Ahmet will be,

Profit = Total Earning - Expenditure

Profit = Total Earning - Cost of renting the piano

Profit = $25x - $35

Where x represents the number of hours

Now, since Ahmet wants to earn a profit of $440, this month. Therefore, we can write,
$440 = $25x - $35

$440 + $35 = $25x

$475 = $25x

x = $475 / $25

x = 19

Thus, Ahmet needs to give 19 hours of lessons in order to earn $440 profit.

Hence, the answer describes the correct solution for the situation is It will take 19 hours of lessons.

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Answer:

[tex]\large\boxed{y-4=\dfrac{9}{2}(x+5)}\\\boxed{9x-2y=-53}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-7, -5) and (-5, 4).

Calculate the slope:

[tex]m=\dfrac{4-(-5)}{-5-(-7)}=\dfrac{9}{2}[/tex]

Put it and coordinates of the point (-5, 4) to the equation:

[tex]y-4=\dfrac{9}{2}(x-(-5))[/tex]

[tex]y-4=\dfrac{9}{2}(x+5)[/tex] → the point-slope form

Convert to the standard form Ax + By = C :

[tex]y-4=\dfrac{9}{2}(x+5)[/tex]         multiply both sides by 2

[tex]2y-8=9(x+5)[/tex]        use the distributive property

[tex]2y-8=9x+45[/tex]           add 8 to both sides

[tex]2y=9x+53[/tex]          subtract 9x from both sides

[tex]-9x+2y=53[/tex]           change the signs

[tex]9x-2y=-53[/tex] → the standard form

Answer:

96

Step-by-step explanation:

Answer:

e^x = -3 = -1*3  

x = ln(-3) = ln(-1) + ln(3)  

= (2n+1)iπ + ln(3)  

where n is any integer. For the principal value, choose n=0:  

= iπ + ln(3)

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z -----> the scale factor

P1 -----> the perimeter of the reduced rectangle on the right

P2 ----> the perimeter of the original rectangle on the left

[tex]z=\frac{P1}{P2}[/tex]

substitute

[tex]z=\frac{24}{30}=0.8[/tex]

step 2

Find the width of the reduced rectangle on the right

[tex]P1=2(L+W)[/tex]

substitute the given values

we have

[tex]L=8\ m[/tex] ---> see the attached figure to better understand the problem

[tex]24=2(8+W)[/tex]

[tex]12=8+W[/tex]

[tex]W=4\ m[/tex]

step 3

Find the width of the original rectangle on the left

To find the width of the original rectangle on the left, divide the width of the reduced rectangle on the right by the scale factor

so

[tex]W=4/0.8=5\ m[/tex]

Answer:

A. 5 meters

Step-by-step explanation:

Answer:

a) 4/11

b) 2/11

c) 1/11

d) 7/11

Answer:

85

Step-by-step explanation:

I assume by 2x3 you mean 2x^3 and 3y2 means 3y^2. If so then just plug in the values:

2x^3 + 3y^2 - 17 = ?

2(3)^3 + 3(4)^2 - 17 = ?

2(27) + 3(16) - 7 = ?

54 + 48 - 17

102 - 17 = ?

85 = ?

If x is zero then you must replace x with zero and use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) to solve

7 + (-4(0)^2)

7 + (-4(0))

7 + 0

7

If x is 0 then the expression equals 7

Hope this helped

~Just a girl in love with Shawn Mendes

Answer:

[tex]\boxed{7}[/tex]

X=0 is 7.

7 is the correct answer.

The answer should have a positive sign.

Step-by-step explanation:

Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

from left to right.

Distributive property: a(b+c)=ab+ac

[tex]7+(-4x^2)[/tex]

[tex]7+-4x^2[/tex]

[tex]7-4*0^2[/tex]

Do exponent.

[tex]0^2=0*0=0[/tex]

[tex]7-0=7[/tex]

7 is the correct answer.

Hope this helps you!

Thanks!

Have a nice day! :)

-Charlie

Answer:

I and III only

Step-by-step explanation:

step 1

we know that

In this problem

A, B and C are collinear

so

A', B' and C' are collinear too

because the transformation is a translation

The translation does not modify the shape or length of the figure

AB=A'B'

AC=A'C'

BC=B'C'

step 2

The distance

AA'=BB'=CC'

because AB and A'B' are parallel

Answer:

C

Step-by-step explanatio

33 + 33 + 38 + 35 +37 + 40 + 57 = 273

273 / 7 = 39

33 + 33 + 38 + 35 +37 + 40 = 216

216 / 6 = 36

The mean (average) of the data set without the outlier is 36 and including the outlier is 39. The outlier here being the value 57 which deviates most from the other values in data set.

To find the mean (or average) of a data set, you add all the values together and then divide by the count of the values.

Firstly, for the mean without the outlier, we add 33+33+38+35+37+40 = 216, which we then divide by the 6 values, giving us 36. So, the mean without considering the outlier is 36.

For the mean considering all values including the outlier (57), calculate 33+33+38+35+57+37+40 = 273, then divide by the 7 values, which gives us approximately 39. The answer to the nearest tenth is 39.0. Therefore, the mean of this data set with the outlier is 39.0 and without the outlier is 36.0.

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Answer:

3.

Step-by-step explanation:

Calculate the median, which is the middle number of an ordered range with an odd number. 3.

Calculate the medians of the bottom and top halves, omitting the middle number. Since these are now even-numbered sets, we'll take the average of the middle two numbers of each. Lower is 1.5, upper is 4.5.

Calculate the difference of the upper median and lower median, so 4.5 - 1.5 = 3.

Answer:

3/4x + (7 × Q)

∆

|

That's an x not multiplication

Answer:

[tex]7q + \frac{3}{4}x[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcl}\text{Product of 7 and q} & = & 7q\\\\\text{Three-fourths of x} & = & \frac{3}{4}x \\\\\text{Three fourths of x added to product of 7 and q} & = & 7q + \frac{3}{4}x \\\\\end{array}[/tex]

Answer:7/20 = 0.35 = 35%=500x.35 =175 men

40%=.40x500 =200 women

200+170=370

500-370

125 children

Step-by-step explanation:

Answer:

There are 175 men, 200 women, and 125 children.

Step-by-step explanation:

7/20 = M/500; M = 175

0.4 x 500 = W; W = 200

175 + 200 + C = 500; C = 125

Answer:

The domain is all real numbers. The range is {y|y ≤ 16}

Step-by-step explanation:

we have

[tex]f(x)=-x^{2}-2x+15[/tex]

This is the equation of a vertical parabola open downward

The vertex is a maximum

Find the vertex of the quadratic equation

[tex]f(x)-15=-x^{2}-2x[/tex]

[tex]f(x)-15=-(x^{2}+2x)[/tex]

[tex]f(x)-15-1=-(x^{2}+2x+1)[/tex]  

[tex]f(x)-15-1=-(x^{2}+2x+1)[/tex]

[tex]f(x)-16=-(x^{2}+2x+1)[/tex]

[tex]f(x)-16=-(x+1)^{2}[/tex]

[tex]f(x)=-(x+1)^{2}+16[/tex] -----> equation in vertex form

The vertex is the point (-1,16)

therefore

The domain is the interval ----> (-∞,∞)  All real numbers

The range is the interval ----> (-∞,16]  All real numbers less than or equal to 16

Answer:

The Answer Is B

Step-by-step explanation:

domain is all real numbers. The range is {y|y ≤ 16}.

Answer:

So, Allison averages 1/6 of the route every hour, right?

1/6 + 1/a = 1/4

Once we apply the common denominator, 12a, we only wirk with the numerators.

2a + 12 = 3a

a = 12

Her associate can finish the route in 12 hours by herself.

Step-by-step explanation:

it would take 12 hours for her associate to complete the route by herself

This problem is related to the speed of completing the route.

To solve this problem, we must state the formula for the speed.

[tex]\large {\boxed {v = \frac{x}{t}} }[/tex]

where:

v = speed of completing the route ( m³ / s )

x = route distance ( m³ )

t = time taken ( s )

Let's tackle the problem!

Allison can complete a sales route by herself in 6 hours.

[tex]\text{Allison Speed} = v_a = x \div t_a[/tex]

[tex]v_a = x \div 6[/tex]

Her associate can complete the route by herself in t_s

[tex]\text{Associate Speed} = v_s = x \div t_s[/tex]

[tex]v_s = x \div t_s[/tex]

Working with an associate, she completes the route in 4 hours

[tex]\text{Total Speed} = v = v_a + v_s[/tex]

[tex]\frac{x}{t} = \frac{x}{t_a} + \frac{x}{t_s}[/tex]

[tex]\frac{1}{t} = \frac{1}{t_a} + \frac{1}{t_s}[/tex]

[tex]\frac{1}{4} = \frac{1}{6} + \frac{1}{t_s}[/tex]

[tex]t_s = \frac{ 6 \times 4 }{6 - 4}[/tex]

[tex]t_s = \frac{ 24 }{2}[/tex]

[tex]t_s = 12 ~ \text{hours}[/tex]

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Recall that

[tex]\cos2\theta=2\cos^2\theta-1[/tex]

and

[tex]\tan^2\theta+1=\sec^2\theta=\dfrac1{\cos^2\theta}[/tex]

Then

[tex]\cos2\theta=\dfrac2{\tan^2\theta+1}-1\implies\cos2\theta=\boxed{\dfrac7{25}}[/tex]

Answer:

[tex]cos2\theta=\frac{7}{25}[/tex]

Step-by-step explanation:

This is a question of Trigonometric Identities. In addition to this, In quadrant IV the cosine of the angle is naturally negative. This explains the negative value for [tex]tan\theta=-3/4[/tex]

The double angle formula

Let's choose a convenient identity, for the double angle [tex]cos2\theta[/tex]

[tex]\\tan \theta=-3/4 \\ cos2\theta =cos^{2}\theta -sen^{2}\theta\\cos2\theta =2cos^{2}\theta-1\\\\1+tan\theta^{2} =sec^{2}\theta\\\\ 1+(\frac{-3}{4})^{2} =\frac{1}{cos^2 \theta} \\\\\frac{25}{16}=\frac{1}{cos^{2}\theta}\\ cos^{2}\theta=\frac{16}{25}[/tex]

Finally, we can plug it in:

[tex]cos2\theta =2cos^{2}\theta -1\\cos2\theta =2\left ( \frac{16}{25} \right )-1 \Rightarrow cos2\theta=\frac{7}{25}[/tex]

Answer:

option B. the square of the sum of 2 times x and 5

Step-by-step explanation:

we have

[tex](2x+5)^{2}[/tex]

we know that

The algebraic expression [tex](2x)[/tex] is equal to the phrase " Two times x" (the number two multiplied by x)

The algebraic expression [tex](2x+5)[/tex] is equal to the phrase " The sum of two times x and 5" (the number two multiplied by x plus the number 5)

The algebraic expression [tex](2x+5)^{2}[/tex] is equal to the phrase " The square of the sum of two times x and 5"

Answer:

Option B

When it was purchased (year 0) the coin was worth $7

Step-by-step explanation:

we have

[tex]f(t)=7(2)^{t}[/tex]

This is a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

In this problem we have

a=$7

b=2

b=1+r

so

2=1+r

r=1

r=100%

The y-intercept is the value of the function when the value of x is equal to zero

In this problem

The y-intercept is the value of a rare coin when the year t is equal to zero

[tex]f(0)=7(2)^{0}[/tex]

[tex]f(0)=\$7[/tex]

therefore

The meaning of y-intercept is

When it was purchased (year 0) the coin was worth $7

Answer:

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

Please let me know the choices to better help you.

Step-by-step explanation:

I see zeros at x=-2 , x=0 , x=1 , x=3.

Any time it makes like a little U or upside down U at a zero you are going to have a even power on your factor (for which the zero occurs).  If it goes through the zero increasing or decreasing (not making a kind of U shaped upside down or upside right), it is an odd power.

So at x=-2, (x+2) is going to have an odd power

So at x=0,  (x-0) or (x+0) or even just x is going to have a odd power

So at x=1,  (x-1) is going to have an odd power

So at x=3, (x-3) is going to have an even power

So the polynomial could be represented by

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

Answer:

x = 9.6

Step-by-step explanation:

The figure is a similar figure and the quadrilaterals (4 sides) created are related to each other by the same ratio.

So we can say:

8 goes with x as (8+12) goes with 24

We can setup a ratio and solve for x:

[tex]\frac{8}{x}=\frac{8+12}{24}\\\frac{8}{x}=\frac{20}{24}\\20x=8*24\\20x=192\\x=\frac{192}{20}\\x=9.6[/tex]

So x = 9.6

The value of x in the figure drawn is 9.6

we can create a proportional expression thus :

8 = x

(8 + 12) = 24

This means

8 = x

20 = 24

cross multiply

20x = 24 × 8

20x = 192

divide both sides by 20 to isolate x

x = 192/20

x = 9.6

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[tex]\boxed{x \approx 3.064}[/tex]

There is no general property  that we can use to rewrite:

[tex]log_{a}(u\pm v)[/tex]

Then, we'll solve this problem graphically. Let's say that we have two functions:

[tex]f(x)=log(x+1) \\ \\ g(x)=-x^2 +10[/tex]

[tex]f(x)[/tex] is a logarithmic function translated one unit to the left of the pattern logarithmic function [tex]log(x)[/tex]. On the other hand, [tex]g(x)[/tex] is a parabola that opens downward and whose vertex is [tex](0,10)[/tex]. So:

[tex]f(x)=g(x)[/tex]

implies that we'll find the value (or values) where these two functions intersect. When graphing them, we get that this x-value is:

[tex]\boxed{x=3.064}[/tex]

Then, for [tex]x=3.064[/tex]:

[tex]f(x)=log(x+1) \\ \\ f(3.064)=log(3.064+1) \\ \\ f(3.064)=log(4.064) \\ \\ Using \ calculator: \\ \\ f(3.064) \approx 0.6 \\ \\ \\ g(x)= -x^2 +10 \\ \\ g(3.064)= -(3.064)^2 +10 \\ \\ g(3.064)=-9.388+10 \\ \\ g(3.064) \approx -0.6[/tex]

Answer:

I have put my answer in the form (x,y,z)

One solution (3,2,4)

Another solution (-5,-4,-6)

Step-by-step explanation:

I'm going to try to do this by a bunch of substitution.

I'm going to solve first equation for x, second for y, and third for z.

Commutative property x+xy+y=11

Distributive property x(1+y)+y=11

Subtraction property  x(1+y)=11-y

Division property x=(11-y)/(1+y)

I'm going to do the other 2 equations in a similar way:

So the second equation solving for y:    y=(14-z)/(1+z)

The third equation solving for z:  z=(19-x)/(1+x)

I'm going to plug my new first equation into my third equation giving me:

z=(19-[(11-y)/(1+y)])/(1+[(11-y)/(1+y)]

Now I'm going to clean this up by multiplying by compound fraction by (1+y)/(1+y).

z=(19(1+y)-(11-y)]/[1(1+y)+(11-y)]

z=[19+19y-11+y]/[1+y+11-y]

z=[8+20y]/[12]

Simplify

z=(2+5y)/3

Now I'm going to sub this into my non-rewrite of equation 2:

y+(2+5y)/3+y(2+5y)/3=14

Multiply both sides by 3 to clear fractions

3y+(2+5y)+y(2+5y)=42

3y+2+5y+2y+5y^2=42

5y^2+10y+2=42

Subtract 42 on both sides

5y^2+10y-40=0

Divide both sides by 5

y^2+2y-8=0

Factor

(y+4)(y-2)=0

So y=-4 or y=2

If y=-4  then x=(11-(-4))/(1+(-4))=15/-3=-5 and z=(2+5*-4)/3=-18/3=-6

So one solution is (-5,-4,-6)

If y=2 then x=(11-2)/(1+2)=9/3=3 and z=(2+5*2)/3=12/3=4

So another solution is (3,2,4)

Answer:

[tex]V=312\pi\ mm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone

so

[tex]V=\frac{4}{6}\pi r^{3} +\frac{1}{3} \pi r^{2} h[/tex]

we have

[tex]r=6\ mm[/tex]

[tex]h=14\ mm[/tex]

substitute

[tex]V=\frac{4}{6}\pi (6)^{3} +\frac{1}{3} \pi (6)^{2} (14)[/tex]

[tex]V=144\pi +168\pi[/tex]

[tex]V=312\pi\ mm^{3}[/tex]

Answer:

312 πmm^2

Step-by-step explanation:

On edg

[tex]\bf -2(bx-5)=16\implies bx-5=\cfrac{16}{-2}\implies bx-5=-8\implies bx=-8+5 \\\\\\ bx=-3\implies \boxed{x=\cfrac{-3}{b}} \\\\[-0.35em] ~\dotfill\\\\ b=3\qquad \qquad x=\cfrac{-3}{\underset{b}{3}}\implies \boxed{b=-1}[/tex]

Answer:

[tex]\large\boxed{h=\dfrac{3V}{\pi r^2}}[/tex]

Step-by-step explanation:

[tex]V=\dfrac{1}{3}\pi r^2h\to\text{It's the formula of a volume of a cone}\\\\\text{Solve for}\ h:\\\\\dfrac{1}{3}\pi r^2h=V\qquad\text{multiply both sides by 3}\\\\\pi r^2h=3V\qquad\text{divide both sides by}\ \pi r^2\\\\h=\dfrac{3V}{\pi r^2}[/tex]

Answer:

opposite angles in parralelograms are congruent

Step-by-step explanation:

Answer:

equal

Step-by-step explanation:

Opposite angles in parallelograms are equal.

Answer:

affect males more than females

can be carried by females, without being expressed

are caused by genes carried on the X and Y chromosomes

Step-by-step explanation:

distance = √(x1 - x2)^2 + (y1 - y2)^2

distance = √(-6 + 1)^2 + (7 - 1)^2

              = √25 + 36

              = √61

To the nearest whole unit:

√61 = 8

So your answer is:

about 8 units

Answer:

About 8 units

Step-by-step explanation:

I got it right :)

Answer:

The upper graph

Step-by-step explanation:

We have two quadratic function here

[tex]y=-x^{2} +3x+5\\y=x^{2} +2x\\[/tex]

If we perform the function f(x) + g(x), which is nothing more than the sum of the two functions, we obtain a linear function, since the quadratic terms are eliminated by themselves

[tex]5x+5[/tex]

Final answer:

Lynda Davis' total expenses for the month are $425. Her expenses for the year are $5100. Her rental income for the year is $14400. Her rate of income is approximately 282.35%.

Explanation:

To calculate Lynda Davis' total expenses for the month, we need to add up all of her monthly expenses. These include $70 for depreciation, $50 for property tax, $25 for insurance, $80 for repairs, and $200 for interest. So her total monthly expenses would be $70 + $50 + $25 + $80 + $200 = $425.

To calculate her expenses for the year, we can multiply her total monthly expenses by 12 since there are 12 months in a year. So her annual expenses would be $425 * 12 = $5100.

Her rental income for the year would be the monthly rental income of $1200 multiplied by 12. So her rental income for the year would be $1200 * 12 = $14400.

To calculate her rate of income, we need to find the percentage of her rental income compared to her total expenses. We can use the formula: (rental income / total expenses) * 100. So her rate of income would be ($14400 / $5100) * 100 ≈ 282.35%.