what is
9e-7=7e-11
e=?

The solution for p(-2) in the function when the function p(n) = 2n is -2

From the question, we have the following equation that can be used in our computation:

p(n)=2n

To make the equation legible, we need to rewrite it

So, we have the following representation

p(n) = 2n

Also from the question, we have

p(-1)

This means that the value of n is -1, and we calculate p(n) when n = -1

Substitute the known values in the above equation, so, we have the following representation

p(-1) =  2 * -1

So, we have the following equation

p(-1) =  2 * -1

There is no constant to add or subtract to both sides of the equation

So, we have the following representation

p(-1) =  -2

Hence, the solution is -2

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The perimeter 2a+g unit and area a*g/2 unit² of the rectangle.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,

The area of rectangle is A = a*b

here given is b = g/2unit

The area will be a*g/2 unit²

The perimeter of the rectangle is 2(a+b)

perimeter will be 2(a+g/2) = 2a+g unit

hence the perimeter and area of the rectangle are a*g/2 unit² and 2a+g unit respectively.

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The given equations, 2x + y = -3 and -2y = 6 + 4x, written in slope-intercept form is y = -2x - 3

From the question, we are to write the equations in slope-intercept form.

The given equations are

2x + y = -3

and

-2y = 6 + 4x

The slope-intercept form of the equation of a line is

y = mx + b

Where m is the slope

and b is the y-intercept

Writing 2x + y = -3 in slope-intercept form

2x + y = -3

Subtract 2x from both sides of the equation

2x - 2x + y = -3 - 2x

y = -3 - 2x

y = -2x - 3

Writing -2y = 6 + 4x in slope-intercept form

-2y = 6 + 4x

Divide through by -2

-2y/-2 = 6/-2 + 4x/-2

y = -3 - 2x

y = -2x - 3

Hence, the equation is y = -2x -3

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The area of a rectangle with side lengths of 6/8 meter and 4/10 meter is,

Area of rectangle = 6/8 meter × 4/10 meter

                             = 24 / 80 meters²

                             = 6 /20 meters²

                             = 0.3 meters²

Hence, The area of a rectangle with side lengths of 6/8 meter and 4/10 meter is 0.3 meters².

Step-by-step explanation:

The total price of 3 pencils and 1 protractor at $3 was 4 times the total price of 1 pencil and 1 eraser at $0.60. What is the price of 1 pencil?​

when pencil = p

3p + 3 = 4(p + 0.6)

expand right side:

3p + 3 = 4p + 2.4

subtract 3 from both sides:

3p + 3 - 3 = 4p + 2.4 - 3

3p = 4p -0.6

subtract 4p from both sides:

3p - 4p = 4p -0.6 - 4p

-p = -0.6

divide both sides by -1:

(-p)/-1 = (-0.6)/-1

p = 0.6

so each pencil costs $0.60

The degree of that polynomial is 5

What is the Degree of Polynomial?

The degree of polynomial is the highest degrees of individual term.

The first is to find each term.

The term is 3[tex]p[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q[/tex], and [tex]q^{3}[/tex] (or can also be written as 3[tex]p^{1}[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q^{1}[/tex], and [tex]p^{0}[/tex][tex]q^{3}[/tex]

The next step is to add up the exponents for each term and select the highest result.

3[tex]p^{1}[/tex][tex]q^{4}[/tex] : 1+4 = 5
2[tex]p^{2}[/tex][tex]q^{1}[/tex] : 2+1 = 3
[tex]p^{0}[/tex][tex]q^{3}[/tex] : 0+3 = 3

Therefore the degree of polynomial is 5

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Answer:

m∠G = 118°

Step-by-step explanation:

The congruence statement that says:

△CAT ≅ △DOG,

says not only that the triangles are the same shape and size, it also says //which// angles (and sides) are conguent.

Angle C and Angle D are the same. Angle A and Angle O are the same. And Angle T and Angle G are the same.

So in △CAT, Angle C is 25° and Angle A (same as O) is 37°.

Also, all the angles in a triangle add up to 180°.

25° + 37° + T = 180°

62° + T = 180°

T = 118°

And T corresponds to G, so AngleG is also 118°.

Answer:

-8 < x ≤ 0

Let's remember what open and closed circle mean:

Open Circle:

Less than ( < ) / Greater than ( > )

Closed Circle:

Greater than or equal to ( ≥ ) / Less than or equal to ( ≤ )

Now, let's review this graph:

Let's call this unknown value 'x'

Reading the graph left to right:

x is greater than -8, but is less than or equal to (Remember!! Closed circle!)

We can right this as:

-8 < x ≤ 0

And that is our answer! If your problem wants a different variable (y, z, q, etc) just put that in place of 'x'

Let me know if this helped!

The value of "x" in the given triangles is 17.

We are given a triangle, ΔABC. The midpoint of the side AC is denoted by D. The midpoint of the side BC is denoted by E. The midpoints D and E are joined by a line segment. The line segment DE is parallel to the side AB. The triangles ΔABC and ΔDEC are similar triangles. The lengths of the sides of the triangle ΔDEC are half those of ΔABC. The ratio of the lengths of DE and AB is 1/2.

DE/AB = 1/2

(3x - 4)/(9x - 59) = 1/2

6x - 8 = 9x - 59

51 = 3x

x = 17

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Answer:

365

Step-by-step explanation:

As the amount of fish the emporium sold and received are the same, the inventory of fish has not changed.  Therefore, the emporium has 365 fish at the end of the day on Tuesday.

Monday morning:  365 fish

After Monday's sales:  365 - 15 = 350 fish

Tuesday morning:  350 fish

After Tuesday's shipment:  350 + 15 = 365 fish

Answer:

End of Tuesday = 365 fishes

Step-by-step explanation:

Fishes in inventory,

→ n = 365 fishes

Let's take it as,

→ Monday (x) = 15

→ Tuesday (y) = 15

Forming the expression,

→ (n - x) + y

Let's solve the expression,

→ (n - x) + y

→ (365 - 15) + 15

→ 350 + 15

→ 365 fishes

Hence, there are 365 fishes.

The regular price for the cell phone is $210

From the information given, the cell phone is on sale at $35 more than half of the regular price and the sale price is $140.

Let the regular price be represented as x.

This will be illustrated as:

1/2x + 35 = 140

0.5x + 35 = 140

Collect like terms

0.5x = 140 - 35

0.5x = 105

Divide

x = 105 / 0.5

x = 210

The regular price is $210.

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Answer:volume of pyramid is equal to the volume of prism

Step-by-step explanation:

the moment of inertia is [tex]0.405 kgm^{2}[/tex] .

Given :

mass of rod (m) = 1.5kg

length of rod (l) = 1.8m

formula :

We know that moment of inertia of rod about it's center is

      [tex]I = ml^{2}/12[/tex]

I = (1.5)*(1.8*1.8)/12

I = 1.5*3.24/12

I = 4.86/12

I = 0.405  [tex]kgm^{2}[/tex]

hence, the moment of inertia of rod about its center is 0.405 [tex]kgm^{2}[/tex].

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The moment of inertia of the given condition is 0.405 kgm².

Given that,

Mass of the rod = 1.5 kg

Length of the rod = 1.8 m

A thin rod with mass M and length L has an axis running through its center, and the formula for its inertial momentum is given by,

I = ML²/12

I = 1.5*(1.8)²/12

I = 0.405 kgm²

Hence, the moment of inertia of the given condition is 0.405 kgm².

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The mean time some people spent mowing their lawn is 1.01

Mean

Mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Given,

Here we have the table of data.

Now, we need to estimate for the mean time some people spent mowing their lawn.

According to the given problem, the mean is calculated for each time interval, then we get,

For the time period 0 ≤ t < 10, then the mean is,

=> 3/(3 + 11 + 14 + 2)

=> 3/30

=> 0.1

For the time period 10 ≤ t < 20, then the mean is,

=> 11/(3 + 11 + 14 + 2)

=> 11/30

=> 0.37

For the time period 20 ≤ t < 40, then the mean is,

=> 14/(3 + 11 + 14 + 2)

=> 14/30

=> 0.47

For the time period 40 ≤ t < 60, then the mean is,

=> 2/(3 + 11 + 14 + 2)

=> 2/30

=> 0.07

So, the mean time is obtained by adding the values,

=> (0.1 + 0.37 + 0.47 + 0.07)

=> 1.01

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The rate of Sam in miles per hour is 10.13.

Based on the relation between the units feet and mile, firstly converting the distance in miles.

5380 feet = 1 mile

So, 63,756 feet = 63,756 ÷ 5380

Performing division to calculate the distance in miles

63, 756 feet = 11.85 miles

Now converting the time in hour. As per the known fact, 60 minutes = 1 hour

So, 70 minutes = 70÷60

70 minutes = 1.17 hours

Now, finding the rate in miles per hour = number of miles ÷ amount of time

Rate in miles per hour = 11.85 ÷ 1.17

Performing division on Right Hand Side of the equation

Rate in miles per hour = 10.13

Thus, the rate is 10.13 miles per hour.

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Answer:

Your answer will be 7

Answer:

7

Step-by-step explanation:

i know

Slope-intercept form:

y= 8/5x+3

Point-slope form:

y+5= 8/5 • (x+5)

Answer:

18

Step-by-step explanation:

18

step by step explanation: you literally add them up

Put different values of x in the function and find values of g(x). Then plot the points on a graph.

Graphing a function involves tracing the curve on a coordinate plane that corresponds to the function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The given function is

g(x) = - 3x

Put x = - 3

g(x) = -3(-3)

g(x) = 9

Put x = - 2

g(x) = -3 (-2)

g(x) = 6

Put x = - 1

g(x) = -3 (-1)

g(x) = 3

Put x = 1

g(x) = - 3 (1)

g(x) = - 3

Put x = 2

g(x) = -3 (2)

g(x) = - 6

Plot the points on a graph, and keep the values of x on the x-axis and g(x) on the y-axis.

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The value of n for the given exponential function is 5/2.

Exponential function:

Exponential function means the function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

Here we have the exponential function (√7)⁵ = 7ⁿ

Now, we need to find the value of n.

Based on the rule of exponent, we have written the square as 1/2, like the following,

√7 = [tex]7^{\frac{1}{2}}[/tex]

So, when we apply these on the given expression then we get,

(√7)⁵ = [tex](7^{\frac{1}{2}})^5[/tex]

Now, we have to multiply both values on the power then we get,

=> [tex](7^{\frac{5}{2}})[/tex]

When we equate this with the RHS, then we get the value of n as,

[tex]= > (7^{\frac{5}{2}})=7^n[/tex]

Therefore, the value of n is 5/2.

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Answer:

Step-by-step explanation:

v1 v2

x1

- x2

Answer: 6, the answer is 6

Step-by-step explanation:

Answer

47.56468797565 in years

Step-by-step explanation:

im not sure what her age is in seconds with scientific notation though sorry :(

Triangular pyramids contain four sides, six edges, and four vertices.

What is a pyramid?

A pyramid is a structure with triangular exterior surfaces that converge to a single step at the summit, giving the form the shape of a pyramid in the geometric sense. A pyramid's base can be cooperation agreement, quadrilateral, or any polygon form. As a result, a pyramid has at least three triangular surfaces on its outside (at least four faces including the base). A typical alternative is the squares pyramid, which has a square shape and four triangular exterior surfaces. The design of a pyramid, with the majority of the weight closer to the bottom and the select at the apex, means that less material will be pushed from above. This center of mass enabled early civilizations to build sturdy massive constructions.

Triangular pyramids contain four sides, six edges, and four vertices.

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Answer: About 1 to 1.5 ratio. You would use one cup rice to 1.5 cup water.

Step-by-step explanation:

Answer:

Lily is correct.

Step-by-step explanation:

Because 0.3 is out of a part that is split into 10 parts.

The value of trigonometric function sin(x-y) = -44/125

Given ,

cos x = 3/5

sin y = 24/25

Sin( x - y) = sin(x)cos(y) - sin(y)cos(x)

substituting the values,

=> sin(x)cos(y) - sin(y)cos(x)

=> sin(x)cos(y) - (24/25)(3/5) ------(1)

As we know ,

sin(x) = √(1 - cos²x)

sin x = √(1 - (3/5)²)

=> sin x = √1 -9/25

=> sin x = √16/25

=> sin x = 4/5

Again ,

cos y = √(1 - sin²y)

=> cos y = √(1 - (24/25)²

=> cos y = √1 - 576/625

=> cos y = √49/625

=> cos y = 7/25

Substituting the values of sin x and cos y in equation (1)

=> sin(x - y) = (4/5)(7/25) - (24/25)(3/5)

=>  sin(x - y) = (28 / 125) - (72 / 125)

=>  sin(x - y) = -44/125

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