I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this

Let's use some identities to help us solve

    [tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]

We know -->  [tex]sin^2(t)+cos^2(t) = 1[/tex]

So:

   [tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]

Thus the choice is the second choice

An equation is formed of two equal expressions. The correct option is B.

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

Given two of the equations which can be rewritten as shown below,

x = 4 cos(t)

x/4 = cos(t)

Squaring both sides of the equation,

x²/16 = cos²(t)

y = 5 sin(t)

y/5 = sin(t)

Squaring both sides of the equation,

y²/25 = sin(t)

y²/25 = sin²(t)

Adding the two of the given equations we will get,

(x²/16) + (y²/25) = cos²(t) + sin²(t)

(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1

The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

Answer:

positive

Step-by-step explanation:

if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.

Answer:

Step-by-step explanation:

Count the number of letters

Change integers to strings and put them

Hence answer is 3

The characteristics of this scatter plot

Hence ,this scatter plot has Moderately postive linear relationship without any outliner

Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:

9.2 units, 49.4° north of west

To find them, we subtract the end coordinate by the start coordinate, hence:

RS = S - R = (-2, 1) - (4,-6) = (-6,7).

The magnitude is given by the square root of the sum of the squares of each coordinate, hence:

[tex]|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2[/tex]

Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:

9.2 units, 49.4° north of west

More can be learned about vectors at brainly.com/question/24606590

Answer: A

Step-by-step explanation:

The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.

Answer:

18.83% (nearest hundredth)

Step-by-step explanation:

Continuous Compounding Formula

[tex]\sf A=P(e)^{rt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\sf \implies 1300=420(e)^{6r}[/tex]

[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]

[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]

Taking natural logs of both sides:

[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=0.1883108054...[/tex]

Therefore, the interest rate is 18.83% (nearest hundredth)

Answer:

Ricky it is 1,202

And for Pedro 1202 + 276 = 1478

Step-by-step explanation:

The computation is shown below:

Let us assume the ricky be x,

So, pedro be x + 276

Now the equation is,

x + x + 276 = 2680

2x + 276 = 2680

2x = 2680-276

2x = 2404

x = 1,202

For Ricky it is 1,202

And for Pedro 1202 + 276=1478

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

The given exponential functions, f(x) and g(x), are respectively given by:

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]

[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]

[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

if 5=70

  2=?

cross multiply=28

add  70+28=98          

Step-by-step explanation:

Answer:

862 m (nearest whole number)

Step-by-step explanation:

General form of an exponential function: [tex]\sf y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)

Given:

Substituting these values into the formula:

[tex]\sf \implies y=1300(0.95)^8[/tex]

[tex]\sf \implies y=862.4467607...[/tex]

[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one

Answer:

7.02ft

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

$7.20 divided by 8 is 0.9.

Answer:

.90

8 divided by 7.20 is 1.11

1.11 times 7.20 = 8

Step-by-step explanation:

Answer:

10sr2 or 14.1421356

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.

So, let's use Trigonometry here :

[tex]\qquad \sf  \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 10 \sqrt{2} [/tex]

Therefore, the value of x is 10√2 units

180.....,...........

Step-by-step explanation:

angle A + angle B + angle C = 90+45+45

                                                = 180

Answer:

4a²-9

Step-by-step explanation:

(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}

= 4a²-9

Answer:

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

Step-by-step explanation:

A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.

The length of PQ is given as: 2 cm.

The length of line segment AB is given as: 1.5 cm

The length of line segment MN is given as: 3 cm.

Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.

PQ → P'Q'

⇒ Length of P'Q'= 8 cm.   ( since 4×2=8)

AB → A'B'

⇒ Length of A'B'= 6 cm.   ( since 1.5×4=6)

MN → M'N'

⇒ Length of M'N'= 12 cm.   ( since 4×3=12)

Hence,

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

As no points are shown so only steps can be provided to solve

So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)

So new coordinates are (4x,4y)

So

if length of segment was x then after dilation new length is 4x

Answer:

y=2x+3

Step-by-step explanation:

Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3

Answer: y = 2x + 3

Step-by-step explanation:

    We will write the equation in slope-intercept form.

y = mx + b

    The slope can be found with "rise over run" since we have clear points on the graph.

    Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.

    Rise / run = 2 / 1 = 2

    The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.

    Final equation:

y = 2x + 3

Answer:

2.65

Step-by-step explanation:

5.60-2.95 = the sum of the money left.

The force needed to keep the cart at rest is 149.022 pounds

Given Data

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

Learn more about force here:

https://brainly.com/question/12970081

Answer:

128.558

Step-by-step explanation:

Answer:

79-22=57.

Your answer is correct. You also have to fill in the second one (B)

Answer:

79-22=57

Step-by-step explanation:

I can explain on phone

Answer:

x=−5

y=−2

Step-by-step explanation:

{3x+4y=-23}{x=3y+1}

x=−5

y=−2

Answer:

7

Step-by-step explanation:

[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]

[tex]\\ \rm\Rrightarrow 14\div 2[/tex]

[tex]\\ \rm\Rrightarrow 7[/tex]

Done!

Answer:

See below

Step-by-step explanation:

The change of base formula for logarithms is [tex]\log_a(x)=\frac{\log_b(x)}{\log_b(a)}[/tex]. This formula allows us to rewrite a logarithmic expression so that the new expression contains a different base.

D) ac + ad + bc + bd

Hope it helps :)

Answer:

D) ac + ad + bc + bd

Step-by-step explanation:

LCM = 8

[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]

Finding the LCM is useful to compare the size of 2 different fractions.

LCM

First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.

Comparing

Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.

Answer:

x = 52

Step-by-step explanation:

I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.

So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180

A + B = 180

2x + 76 = 180

2x = 104

x = 52

I hope this helps!

Answer: x=52

Step-by-step explanation:

uh i just knew