How many times larger is 3 x 10^8 than 3 x 10^2

A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10

Answer:

A. x= -5

B. x= 8

Step-by-step explanation:

A. 25 - 3x = 40

-3x = 40 - 25

-3x = 15

x= 15/-3

x= -5

B. 2 (x-10) =  -4

x-10 = -4/2

x-10 = -2

x = 8

A. 25 - 3x = 40

         -3x = 40 - 25

               = 15

            -x = 15/3

             x = -5

   Checking

    25 - 3*-5 = 40

    25 + 15 = 40

            40 = 40

       LHS = RHS

B. 2(x-10) = -4

    2x - 20 = -4

            2x = -4 +20

             x = 16/2 = 8

Hope u understand

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Answer:

2(√17b³ )c⁵

Step-by-step explanation:

We are to simplify the expression given below

√68b³c¹⁰

Simplifying 68

= √(17 × 4)b³c¹⁰

Hence

= 2√17b³c¹⁰

= 2 √17b³ × √c¹⁰

= 2 √17b³ × c¹⁰/²

= 2(√17b³ )c⁵

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

To Find :

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

Answer:

Step-by-step explanation:

Was the latter half of this function, -64 / 2x + 14, meant to be:

-64 / 2x              +              14, or

-64 / (2x + 14)?

In the first case the vertical asymptote is x = 0.

In the second, the vertical asymptote is the root of 2x + 14, or x = -7

Use parentheses in problems such as this one, to eliminate ambiguity.

Answer:

Side GI= 2

Step-by-step explanation:

Photo attached, used SOH CAH TOA method.

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Answer:

option A all real numbers

Step-by-step explanation:

domain is the all possible "X" values

and X has all real values

All the real numbers of X are domain and range of piecewise function .

What is piecewise function?

A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.

Graph

Domain: The domain of a piecewise-defined function is the union of its subdomains.

Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.

Now,

Thus  the domain and range of piecewise function is all real numbers .

Know more about piecewise function,

https://brainly.com/question/28225662

#SPJ2

Complete Question

A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.

Answer:

he Area of the rug is greater than  but less than [tex]441ft[/tex]

Step-by-step explanation:

From the question we are told that:

Perimeter [tex]P=60ft[/tex]

Value Range:Between 10-20

Generally the Area of the rug is greater than for values of X and Y greater than 9

Therefore Area is greater than from whole number 9

Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by

[tex]A_l=X*Y[/tex]

Where

[tex]X=9\\Y=9[/tex]

Therefore

[tex]A_l=X*Y[/tex]

[tex]A_l=9*9[/tex]

[tex]A_l=81ft[/tex]

Generally the Area of the rug is less than for values of X and Y less than 21

Therefore Area is less than from whole number 21

Generally the equation for Area greater than A_l is mathematically given by

[tex]A_g=X*Y[/tex]

Where

[tex]X=21\\Y=21[/tex]

Therefore

[tex]A_g=X*Y[/tex]

[tex]A_g=21*21[/tex]

[tex]A_g=441ft[/tex]

Answer:

Ana tiene 27 años mientras que Carlos, tiene 69 años

La suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

Vamos a hacer una linea temporal para ubicarnos en tiempo.

AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C

15 años para adelante

AÑO 2036, la edad de Carlos es el doble de la de Ana

C = 2A

Si nos vamos 6 años para atrás

AÑO 2015, la edad de Carlos es el triple de la de Ana

C = 3A

Como de 2015 a 2036 pasan 21 años, podemos plantear que

La edad de Carlos + 21  va a ser 2 veces la edad de Ana, traducido:

C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:

3A + 21 = 2A. Si despejamos:

3A - 2A = -21

A = |21|  Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.

Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:

En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.

Nos corremos 15 años al futuro, por lo que llegamos al año 2036.

Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.

Finalmente la suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

Answer:

C.

Step-by-step explanation:

The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.

Answer: [tex]n>1[/tex]

Step-by-step explanation:

Given

The product of 4 times n is greater than 4 i.e.

[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]

It can be said that the value of n must be greater than 1.

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.

90 - 39= 51

since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.

Answer:

yes

Step-by-step explanation:

hopes this helped;0

Step-by-step explanation:

Consider LHS

[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]

Apply quotient identies

[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]

Multiply the fraction and sine.

[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Make cos x a fraction with cos x as it denominator.

[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]

so

[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Pythagorean Identity tells us sin squared and cos squared equals 1 so

[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]

Apply reciprocal identity.

[tex] \sec(x) = \sec(x) [/tex]

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  [tex]b \cap c[/tex]. (green "football")

image2 shows the complement of a (outside a):  [tex]a'[/tex]  (yellow)

image3 shows the intersection of those sets:  [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it")   :-)

the answer is

Answer:

60.04

Step-by-step explanation:

I got the tax amount and tip amount and added them.

Answer:

Step-by-step explanation:

cost of meal=$52

tax=52×7 %=3.64$

tip=52×20%=10.40$

total cost of meal=52+3.64+10.40=66.04 $

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

Answer:

already did

Step-by-step explanation:

Answer:[tex]h=\sqrt{96}in.[/tex]

Step-by-step explanation:

.

Answer:

You forgot to send the question. Send the full question when you can

Answer:

96

Step-by-step explanation:

To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.

Step 1:

1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.

Step 2:

2nd digit = 4 choices.

Step 3:

3rd digit = 3 choices

Step 4:

4th digit = 2 choices

Step 5:

5th digit = 1 choice .

So the number of different 5 digit number is 4*4*3*2*1 = 96

Answer:

She ate 2 pounds

Step-by-step explanation:

(how do you eat 2 pounds of strawberries like what)

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

Answer:

I may be wrong but I think it's 90 I may be wrong but hey I tryed.

Step-by-step explanation:

Answer: 130 kg 920 g

Step-by-step explanation:

Given

The weight of the goat is 59 kg  720 g

The combined weight of goat and cow is 190 kg 640 g

Suppose, the weight of the cow is x kg

We know, 1 kg=1000 g

Converting weight into kg

Goat weight

[tex]=59+0.720\\=59.720\ kg[/tex]

Total weight

[tex]=190+0.640\\=190.640\ kg[/tex]

Then, the cow weight is given by

[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]

Answer:

48 1/4 packages

Step-by-step explanation: