scientific notations

Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

Answer:

If you have the coordinates of two points, you can use the distance formula to find the length of the line segment between them. The distance formula is:

\(d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

where:

And to find a perimeter add all the sides as the perimeter is the sum of all sides of the shape or object.

Perimeter: Sum of all sides

Area : Length * breadth or base*height for rectangle

The value of x in the expression given is -7/6

(6x + 9)/2 =

First step is to cross multiply

6x + 9 = 2

Collect like terms

6x = 2 - 9

6x = -7

divide both sides by 6 to isolate x

x = -7/6

Therefore the value of x in the expression given is -7/6

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The zeros and the multiplicities are

from the question, we have the following parameters that can be used in our computation:

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

2y

Step-by-step explanation:

Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.

Answer:

9 and 7

Step-by-step explanation:

The required value of focus of the parabola is (3, 2).

A parabola is set of all places in a plane which are an equivalent separation away from a given point and given line. The fact is known as the focal point of the parabola and the line is known as the directrix. The emphasis lies on the hub of balance of the parabola.

parabola: f(x) = 1/4 (x – 3)^2 + 1

On comparing with general formula y = a(x - h)^2 +k

We get,

a = 1/4

h = 3

k = 1

vertex is (3, 1)

Now, we need p  the distance from the vertex to the focus.

⇒ 1/4a

⇒ 1/4/4

⇒  1

Then focus of parabola is( h, k+p ) = (3, 2)

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There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

7/24

Step-by-step explanation:

11/12 - 5/8

Get a common denominator of 24

11/12 * 2/2 = 22/24

5/8 *3/3 = 15/24

22/24 -15/24 = 7/24

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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Step-by-step explanation:

plsssssssssssssssssssssssssssssssssssssssssssssssssssssssdssssssssssssssssssssssssssssssssssssssssss do it don't be lazy.

The coordinates of the equation are (-2, -7), (-1, -5), (0, -3), (1, -1) and (2, 1)

The value of x and y in the given equation or in the graph is together represented by (x, y) and called coordinates.

Given is an equation, y = 2x-3

And we have x values = -2, -1, 0, 1 and 2, To find the corresponding value of y, we will use one by one the values of x in the equations,

When, x = -2,

y = -2(2) - 3

y = -7

(-2, -7)

When x = -1

y = 2(-1) - 3

y = -5

(-1, -5)

When x = 0

y = 2(0) - 3

y = -3

(0, -3)

When x = 1

y = 2(1)-3

y = -1

(1, -1)

When x = 2

y = 2(2) - 3

y = 1

(2, 1)

Hence, the value of y are -7, -5, -3, -1 and 1

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According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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a.

b.

a.

Given that:

Then

Using these

b.

Now

The scale used by Johan is 1: 252.

Here, we are given that Jonah made a scale drawing of the picnic area in which the 70 yards wide picnic area in real life, was 10 inches wide in the drawing.

As per mathematical measurements-

1 yard = 3 feet

and 1 feet = 12 inches

Thus, 3 feet = 12 x 3 inches

= 36 inches

Therefore, we get that 1 yard = 36 inches

Now, the picnic area is 70 yards

the picnic area in inches is = 70 x 36 inches wide

= 2520 inches

Thus the scale used by Johan will be-

10 : 2520

= 1 : 252

Thus, the scale used by Johan is 1 : 252.

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The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

one option could be for the first box 5 and 9 and in the next box 15 and 27 bc u can scale factor it by 3

Step-by-step explanation:

Answer:

201

Step-by-step explanation:

subtraction

Answer:

7 boys

29 children dont own pets

there are 21 children all together

29/50

7/21

Answer:

\(7\frac{5}{16}\) ANSWER (C.

Step-by-step explanation:

Multiply \(9\frac{3}{4}\) by \(\frac{3}{4}\) to get \(\frac{117}{16}\)

-

\(7\frac{5}{16} = \frac{117}{16}\)

because 7 multiply by 16 plus 5 = 117

So 117 over 16

is the same as  \(7\frac{5}{16}\) .

Answer:

n= -35 .................................

Answer:

its 2pi/3

Step-by-step explanation:

because the full radian measure of a circle is 2pi radians, the smaller circle is a third of the size of the larger one. Multiply straight across for (2pi/1)(1/3)  

The circumference of the smaller circle can be given by \(\dfrac{2\times \pi}{m}(x)\ units\).

\(\rm{Circumference\ of\ the\ circle = 2\times \pi \times (radius)\)

\(\rm{Circumference\ of\ the\ circle = 2\times \pi \times (OB)\)

\(\rm{Circumference\ of\ the\ circle = 2\times \pi \times (x)\)

Circumference of the Larger circle = 3 x Circumference of the smaller circle

\(2\times \pi \times x = 3\times Circumference\ of\ the\ smaller\ circle\\\\3\times Circumference\ of\ the\ smaller\ circle = 2\times \pi \times x \\\\Circumference\ of\ the\ smaller\ circle = \dfrac{2\times \pi \times x }{3}\\\\Circumference\ of\ the\ smaller\ circle = \dfrac{2\times \pi}{3}( x )\ units\)

Hence, the circumference of the smaller circle can be given by \(\dfrac{2\times \pi}{m}(x)\ units\).

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Answer:

B

Step-by-step explanation:

x=√7

squaring

x²=7

Answer: 66ft

Step-by-step explanation:

9 x 5 = 45 + 7 x 3 = 21

45+21=66

Answer:

I am pretty sure it is 66 ft

Step-by-step explanation:

If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66

Answer: -7

Step-by-step explanation:

Use this formula for finding the slope:

Δy/Δx=y1-y2/x1-x2

Now get 2 points, (39, 36); (40, 29)

36-29/39-40= 7/-1= -7

So the slop is -7

Hope this helps!

The difference between hard rationing and soft rationing is that the Soft rationing is from the company's own policies on how to use their capital while Hard capital rationing is as a result of the restraints on a company from the outside entities.

Hard capital rationing  can be described as the restraints  that is been put on the company  and usually done by the outside entities and some of the entities that usually carry this out are the banks  as well as lenders.

On the other hand, the Soft capital rationing  do come from the  company's own policies with rspect to the use of the capital.

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Answer:

C

Step-by-step explanation:

702divded by 6=117

hes taking away

Answer:C

Step-by-step explanation:702 divided by 6 is 117 he is paying 117 each month so he is taking $117 out of his account so -$117

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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