1.6 radius what is area and circumference​

Answer:

k=-2

Step-by-step explanation:

Using substitution to find what you're missing, (in this case k) is when you plug each letter into the other equation:

-4k+3=3k+17

So now solve for k:

subtract 3 from both sides...

-4k=3k+14

subtract 3k from both sides to combine with -4k...

-7k=14

divide -7 from both sides...

k=-2

Answer:

i think so 4.32 L

The approximate mass of the spherical weight is 51 pounds

To answer the question, we need to know what the mass of the sphere is

The mass of the sphere m = ρV where

So, m = ρV

= ρ4πr³/3

Substituting the values of the variables into the equation, we have

m = ρ4πr³/3

= 0.284 lb/in³ × 4π(3.5 in)³/3

= 0.284 lb/in³ × 4π × 42.875 in³/3

= 48.706π lb/3

= 153.014 lb/3

= 51 lb

The approximate mass of the spherical weight is 51 pounds

Learn more about mass of spherical weight here:

https://brainly.com/question/12911649

#SPJ1

Hey there!

10(0j + 4j + 40)

DISTRIBUTE 10 WITHIN the PARENTHESES

= 10(0j) + 10(4j) + 10(40)

= 0j + 40j + 400

COMBINE the LIKE TERMS

= (0j + 40j) + (400)

= 0j + 40j + 400

= 40j + 400

Therefore, the answer should be:

40j + 400

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]\boxed{40j + 400}[/tex]

Step-by-step explanation:

Given expression:

[tex]10(0j + 4j + 40)[/tex]

Since the expression inside the parentheses can be simplified, it is suggested to simplify the expression, inside the parentheses, first.

[tex]\implies10[j(0 + 4) + 40][/tex]

[tex]\implies 10[4j + 40][/tex]

Now, simplify the distributive property.

The distributive property can be simplified by multiplying the term outside the parentheses with all the terms inside the parentheses.

[tex]\implies 10[4j + 40][/tex]

[tex]\implies [4j \times 10] + [40 \times 10][/tex]

[tex]\implies \boxed{40j + 400}[/tex]

Learn more about distributive property: https://brainly.com/question/13094603

Answer:

1 and a half

Step-by-step explanation:

There is one full half cup in a 3/4 cup.  A half of a half is a fourth and there is still one more fourth left so 1/2 plus 1/4 is 3/4.

Answer:

126 mi²

Step-by-step explanation:

Surface Area of a Rectangular Prism :

The equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

Equivalent expression can be found out by simplifying the given equation.

First equation given as,

[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)[/tex]

Simplify it further,

[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]

Third equation in the problem given as,

[tex]\left(5+2b\right)+\left(2b+\dfrac{3}{2}\right)\\5+2b+2b+\dfrac{3}{2}\\4b+\dfrac{13}{2}[/tex]

Simplify it further,

[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]

Similarly, the fifth and seventh equation are simplified and equivalent to the fourth and eight respectively.

Thus, the equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

#SPJ1

Answer:

Nth term = 19 - 4(n-1)

Step-by-step explanation:

First term be A

Nth term = A - 4(n-1)

3rd term = 11 = A - 4*2 = A - 8

A = 19

Nth term = 19 - 4(n-1)

Answer:

3 1/2

Step-by-step explanation:

the letter j is HALFway between four and three so it is 3 1/2

radius of small cone= 4 cm

radius of large cone= 6 cm

height of small cone= 4 cm

height of large cone= 20 cm

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20[/tex]

[tex]v = 753.98 \: {cm}^{3} [/tex]

[tex]v = \frac{1}{ 3 } \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 4[/tex]

[tex]v = 67.02 \: {cm}^{3} [/tex]

[tex]v = 753.98 - 67.02[/tex]

[tex]v = 686.96 \: {cm}^{3} [/tex]

volume of smaller cone:

[tex] = 67.02 {cm}^{3} [/tex]

volume of larger cone:

[tex] = 753.98 {cm}^{3} [/tex]

frustum:

[tex] = 686.96 {cm}^{3} [/tex]

Answer:

5.5 Hours

or

5 Hours 30 Minutes

Step-by-step explanation:

Answer:

(2x - 3)  cm

Step-by-step explanation:

Area of window = height × length

Given:

To find the length of the window, factor the expression for Area.

Factor  [tex]4x^2+2x-12[/tex]:

Find 2 two numbers that multiply to the product of the leading coefficient and the constant (4 × -12 = -48) and sum to the coefficient of the middle term (2):  -6 and 8

Rewrite the middle term as the sum of these 2 numbers:

[tex]\implies 4x^2-6x+8x-12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x-3)+4(2x-3)[/tex]

Factor out the common term (2x - 3):

[tex]\implies (2x+4)(2x-3)[/tex]

Therefore, the length of the window is (2x - 3)  cm

(2x-3)cm

Answer:

Solution given:

height =2x+4

length=?

Area of window =(4x²+2x-12)cm²

we have

length*height =Area

length*(2x+4)=4x²+2x-12......(1)

Firstly let factorize 4x²+2x-12

taking common 2(2x²+x-6)

doing middle term factorization 2(2x²+4x-3x-6)

=2(2x(x+2)-3(x+2))

=2(x+2)(2x-3)

substituting it in equation 1

length*(2x+4)=2(x+2)(2x-3)

length*2(x+2)=2(x+2)(2x-3)

length =2x-3 cm

The length of window is (2x-3)cm

Answer:

$ 141 690 .

Step-by-step explanation:

It is already rounded  to the nearest 10 dollars

Answer: y-2 > 1/4(x-4)

Step-by-step explanation:

use slope formula y2-y1/x2-x1 so 2-0/4-(-4) = 1/4

slope int form is y-y1 = m(x-x1)

plug in one point

y-2 = 1/4(x-4)

insert (0,0)

you find y-2 > 1/4(x-4)

Answer:

OBtuse <

Step-by-step explanation:

Answer:

you can find the given attachment

Answer:

Its was 2002 since that is the first heightest bar pass 3000

Step-by-step explanation:

angle ADC = angle ABC / 2

= 135/2 = 67.5°

AC = 2r * sin (62.5)

AC = 1.84r

r is the radius of circle

Answer:

Sum equation: x + y = 29

Difference equation: x - y = 13

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]

Answer:60-30 I guess

Step-by-step explanation:n60-30=30

Using the Central Limit Theorem, it is found that none of the samples satisfy the normal condition.

It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as at least one of these following conditions is respected.

In this problem, the underlying distributions are skewed, and both sample sizes are less than 30, hence none of the samples satisfy the normal condition.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

Answer:

N/A

Step-by-step explanation:

[tex]\large\displaystyle\text{$\begin{gathered}\sf 1. \ \sqrt{5x+4} -1=2x \end{gathered}$}[/tex]

The root of the equation is solved first. Afterwards, both members of the equality are squared, the powers are developed and it is solved.

     [tex]\large\displaystyle\text{$\begin{gathered}\sf \sqrt{5x+4}=2x+1 \Longrightarrow 5x+4=(2x+1)^2 \end{gathered}$}[/tex]

           [tex]\large\displaystyle\text{$\begin{gathered}\sf 0=4x^2 +4x+1-5x-4 =4x^2-x-3 \\ &= 4\left(x^2-\dfrac{1}{4}-\dfrac{3}{4} \right)\\ &=4\left(x-1\right)\left( x+\dfrac{3}{4}\right) \end{gathered}$}[/tex]

                                           [tex]\large\displaystyle\text{$\begin{gathered}\sf x_1=1 \qquad x_2=-\dfrac{3}{4} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf 2. \ 3\sqrt{x-1}+11=2x \end{gathered}$}[/tex]

The root of the equation is cleared. Then, both sides of the equality are squared, the powers are developed and it is solved by the general formula.

               [tex]\large\displaystyle\text{$\begin{gathered}\sf 3\sqrt{x-1}=2x-11 \Longrightarrow 9(x-1)=(2x-11)^2 \end{gathered}$}[/tex]

            [tex]\large\displaystyle\text{$\begin{gathered}\sf 0=4x^2 -44x+121 -9x+9 =4x^2-53x+130 \end{gathered}$}[/tex]

   [tex]\large\displaystyle\text{$\begin{gathered}\sf x_{1,2}=\dfrac{53\pm \sqrt{(-53)^2-4(4)(130)}}{2(4)}=\dfrac{53\pm \sqrt{2809-2080}}{8}\\ &=\dfrac{53\pm \sqrt{729}}{8} = \dfrac{53\pm 27}{8}; \end{gathered}$}[/tex]

                               [tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} \ \ \ \ \ \ x_{1}=\dfrac{53+ 27}{8} \qquad &\ \ \ \ \ x_2=\dfrac{53 - 27}{8}\\ x_1=\dfrac{80}{8} \qquad &\ \ x_2=\dfrac{26}{8}\ \ \ \\ x_1=10 \qquad &x_2=\dfrac{13}{4} \end{matrix} \end{gathered}$}[/tex]

[tex]5^2(5^3 \cdot 5^2)\\\\=5^{2+3+2}\\\\=5^7\\\\=78125[/tex]

Answer:

5^7 or 78125

Step-by-step explanation:

5^2 (5^3 x 5^2)

This is the 5^2 is the same thing as 5x5 while 5^3 is the same as saying 5x5x5, when we evaluate these equations we get a new formula:

= 25 ( 125 x 25)

now we simplify.

= 25 (3125)

= 78125

Answer:

x = -22.5

Step-by-step explanation:

Assuming 4x + 90 = 0

4x + 90 = 0

4x = -90

-90/4 = -22.5

Answer:

2:35 pm

If an hour is 60 minutes, what we know is that 30 minutes is half. However, we must subtract 55 from 30 (In time)

To make this easier, subtract 55 by actual 30, and split 55 into 2 parts, the result of subtraction, and the other value, 30

[tex]55-30=25[/tex]

Now, subtract.

[tex]3:30 - 30 = 3:00[/tex]

[tex]3:00-25=35[/tex]

If this is the case, the lesson must have started at 2:35 pm

The factorization of the given polynomial is:

p(x) = (x - 2/3)*(x - 1) = (1/3)*(3x - 2)*(x - 1)

We have:

[tex]p(x) = 3x^2 - 5x + 2[/tex]

First, we need to find the two roots for the equation, then we use Bhaskara's formula to get:

[tex]x = \frac{5 \pm \sqrt{5^2 - 4*3*2} }{2*3} \\\\x = \frac{5 \pm 1}{6}[/tex]

So the two solutions are:

x = (5 + 1)/6 = 1

x = (5 - 1)/6 = 4/6 = 2/3

Then the polynomial can be written as:

p(x) = (x - 2/3)*(x - 1)

If you want to learn more about factorization

https://brainly.com/question/11579257

#SPJ4

Answer: (3x -2) and (x-1)

Step-by-step explanation:

Just took the test

Answer: a= - [tex]\frac{b}{x}[/tex]- [tex]\frac{c}{x2}[/tex]

Step-by-step explanation:

1. Move all terms not containing [tex]\alpha[/tex] to the right side of the equation.

[tex]\alpha[/tex][tex]x^{2}[/tex]=-bx-c

2. Divide each term in [tex]\alpha x^{2}[/tex]=-bx-c by [tex]x^{2}[/tex] and simplify.

a= - [tex]\frac{b}{x}[/tex] - [tex]\frac{c}{x^{2} }[/tex]

Answer:

centre = (0, 0 ) , radius = 2

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 4 ← is in this form

with centre (0, 0 ) and r = [tex]\sqrt{4}[/tex] = 2

The solving of the fractions simply shows that the value of 1 2/3 + 3 1/2 is 5 1/6.

The first fraction give is:

= 1 2/3 + 3 1/2

= 1 4/6 + 3 3/6

= 4 7/6

= 4 + 1 1/6

= 5 1/6

Also 3/4 - 5/7 will be:

= 3/4 - 5/7

= 21/28 - 20/28

= 1/8

It should be noted that when solving fractions, it's important to have a common denominator.

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ1