Find the exterior angle for each

[tex]\text{It is a geometric series.}\\\\\text{First term,}~ a = 2\\\\\text{Common ratio,}~ r = \dfrac{-\tfrac 43}2 = -\dfrac 46 = -\dfrac 23\\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac{a}{1-r}\\\\\\~~~~~=\dfrac{2}{1-\left(- \dfrac 23 \right)}\\\\\\~~~~~=\dfrac{2}{1+ \dfrac 23}\\\\\\~~~~~=\dfrac{2}{\tfrac 53}\\\\\\~~~~~=\dfrac{6}{5}\\\\[/tex]

[tex]\text{The answer is}~ \dfrac 65[/tex]

Answer:

Step-by-step explanation:

Answer:

This is a theorem that says "if a diameter of a circle bisects a chord, then it is perpendicular."

Step-by-step explanation:

[tex]\text{Apply Pythagorean theorem,}\\ \\~~~~~~~x^2 = 25^2 +75^2\\\\\implies x =\sqrt{25^2 +75^2}\\ \\\implies x = \sqrt{625+5625}\\\\\implies x = \sqrt{6250}\\\\\implies x =\sqrt{625 \times 10}\\\\\implies x = \sqrt{25^2 \times 10}\\\\\implies x = 25\sqrt{10}[/tex]

Answer:

a=6

Step-by-step explanation:

distribute:

3a-15-6=-15

combine like terms:

3a-21=-15

add 21 to each side:

3a=6

divide by 3:

a=2

Answer:

? Not a solution

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

3×1/2

3×1/2=

3/1×1/2

3/2= 1.5

Answer:

$7650.44

Step-by-step explanation:

Annual interest rate = 4.02%

but compound 4 times per year, means quarterly compound

quarterly interest rate = 4.02%/4 = 1.005%

Account balance = 4734 * (1.01005)^48 [compound 4 times a year for 12 years]

= 4734 * 1.616

= 7650.44

Answer:

D) $7,650.44

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]

where:

Given:

Substituting the given values into the formula and solving for A:

[tex]\large \text{$ \sf \implies 4734\left(1+\frac{0.0402}{4}\right)^{4 \times 12} =7650.435473$}[/tex]

C: (500 divided by 4)+(30 divided by 4)+2

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2

Answer:

-1

Step-by-step explanation:

(128 ÷ 32) ÷ -4?

Alright, first things first lets think about PEMDAS.

Parenthesis first so 128/32 is 4!

4/-4 is going to be -1!

Your answer will be -1

Hope this helps!

Answer:

40%

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

Answer:

D. 1/3

Step-by-step explanation:

Answer:

A 1/3

Step-by-step explanation:

Event e either will take place or not. The probability that it'll take place is already given as 2/3.this means that 1/3 is the probability that it won't take place

Answer:

5y + 6 = 9

Step-by-step explanation:

If you want to take it a step further and solve it:

5y = 3

y = 3/5

Answer:

The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

is 3.5\times 10^{3}3.5×10

3

.

Step-by-step explanation:

Given:

\frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

To Find:

The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

.

Solution

As given- \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

.

\frac{7\times 10^{5} }{2\times 10^{2} } = 3.5\times 10^{5-2}

2×10

2

7×10

5

=3.5×10

5−2

= 3.5\times 10^{3}=3.5×10

3

Thus, the value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

is 3.5\times 10^{3}3.5×10

3

.

Step-by-step explanation:

Hope it helps.

Answer:

right triangle

Step-by-step explanation:

it has a 90 degree sign by the base of the triangle

The dice will show a sum of 7 if you roll

• 1 and 6

• 2 and 5 (2 ways)

• 3 and 4 (3 ways)

so there are 6 ways of rolling a sum of 7. Out of 6 × 6 = 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 = 1/6.

Answer:

A, (-2,2)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Range = Y coordinats of a the points

Answer:

y=-3x+5

Step-by-step explanation:

Answer:

0.833

Step-by-step explanation:

Answers:  585,  587, and 593

Basically everything except 599

==============================================================

Why?

Those answers in bold are closer to 590 than they are to 580 or 600. When rounding to the nearest ten (not tenth) we look at the units digit. If it is 5 or larger, then we bump the tens digit up by 1 and replace the units digit with a 0.

This explains why 585 and 587 round to 590

The number 599 rounds to 600 for similar reasoning, but we cross it off the list since we want 590.

The number 593 rounds to 590 because the 3 in the units digit isn't 5 or larger. So we just replace the 3 with 0 and keep everything else as is.

Answer:

1. unknow

2. mean median range spread average

3. the bike Ville is more expensive in everything

Using Average, the prices of bicycles at two stores are compared.

Average is the" sum of observations divided by total number of observations".

According to the question,

The price of bicycles at two stores are shown.

Bikeville:                  140 160 800 235   250 450 80 115 220 250 96  290

Discount Bicycles:   50  180  300  110   120  150 155 285 120 200 70 175 95

Average of bikeville = [tex]\frac{sum of observations}{Total number of observation}[/tex]

= 140 + 160 + 800 + 235 + 250 + 450 + 80 + 115 + 220+250+96+29

= 3086

Average of bikeville= 3086/12

= 257.167

Average of Discount of bicycles:

( 50 +180+100+110+120+150+155+285+

120+150+155+285+120+200+70+175+95)     =2720

= 2720/15

=181.33

Average of Discount of bicycles is 181.33.

Hence, using Average the prices of bicycles at two stores are compared.

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Answer:

H. 94.0

Explanation:

The original list: [tex]a _1[/tex] [tex]a _2[/tex] [tex]a _3[/tex] [tex]40[/tex]

The new list: [tex]a_1[/tex] [tex]a_2[/tex] [tex]a_3[/tex] [tex]48[/tex]

[tex]\frac{a_1+a_2+a_3+40}{4} =92[/tex]

[tex]a_1+a_2+a_3=92[/tex] × [tex]4-40=328[/tex]

[tex]\frac{a_1+a_2+a_3+48}{4} =\frac{328+48}{4} =94[/tex]

Hi Student!

Usually the first step that I take for any problem would be to gather any important information that would be needed in the problem.  However, for this problem, it is pretty straight forward because we just need to solve for the unknown which is x.

Add 3 to both sides

Divide 8 from both sides

For the first equation, we were able to solve for x and get that the solution for the unknown is 1.25

Subtract 5 from both sides

Divide both sides by 7

For the second equation, we are able to solve for x and get that the solution for the unknown is 19/7

Subtract 6 from both sides

Divide both sides by 4

For the final equation, we are able to solve for x and get that the solution for the unknown is -0.25

Answer:

1) [tex]x=\frac{5}{4}=1\frac{1}{4}[/tex]

2) [tex]x=\frac{19}{7}=2\frac{5}{7}[/tex]

3) [tex]x=-\frac{1}{4}[/tex]

Step-by-step explanation:

1) 8x - 3 = 7

1. Group all constants on the right side of the equation

[tex]8x-3=7[/tex]

Add 3 to both sides:

[tex]8x-3+3=7+3[/tex]

Simplify the arithmetic:

[tex]8x=7+3[/tex]

Simplify the arithmetic:

[tex]8x=10[/tex]

2. Isolate the x

[tex]8x=10[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{10}{8}[/tex]

Simplify the fraction:

[tex]x=\frac{10}{8}[/tex]

Find the greatest common factor of the numerator and denominator:

[tex]x=\frac{5\cdot 2}{4\cdot 2}[/tex]

Factor out and cancel the greatest common factor:

[tex]x=\frac{5}{4}[/tex]

2) 5 + 7x = 24

1. Group all constants on the right side of the equation.

[tex]5+7x=24[/tex]

Subtract 5 from both sides:

[tex]5+7x-5=24-5[/tex]

Group like terms:

[tex]7x+5-5=24-5[/tex]

Simplify the arithmetic:

[tex]7x=24-5[/tex]

Simplify the arithmetic:

[tex]7x=19[/tex]

2. Isolate the x

[tex]7x=19[/tex]

Divide both sides by 7:

[tex]\frac{7x}{7}=\frac{19}{7}[/tex]

Simplify the fraction:

[tex]x=\frac{19}{7}[/tex]

3)  5 = 6 + 4x

1. Swap sides

[tex]5=6+4x[/tex]

Swap sides:

[tex]6+4x=5[/tex]

2. Group all constants on the right side of the equation

[tex]6+4x=5[/tex]

Subtract 6 from both sides:

[tex]6+4x-6=5-6[/tex]

Group like terms:

[tex]4x+6-6=5-6[/tex]

Simplify the arithmetic:

[tex]4x=5-6[/tex]

Simplify the arithmetic:

[tex]4x=-1[/tex]

3. Isolate the x

[tex]4x=-1[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{-1}{4}[/tex]

Simplify the fraction:

[tex]x=\frac{-1}{4}[/tex]

----------------------

Why learn this:

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

---------------------

Terms and topics

The most common use of linear equations is to solve problems involving an unknown variable, generally (but not always) x, and a known constant.

Solving linear equations requires isolating the unknown variable on one side of the equation and simplifying the remainder. Anything done to one side of the equation must also be done to the other when simplifying.

An equation of:

[tex]ax+b=0[/tex]

A typical linear equation with one unknown is in which a and b are constants and x is the unknown variable. In this case, we would isolate x by removing b from both sides of the equation before solving for it. We'd then multiply both sides of the equation by a, yielding the following result:

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

-------------------

Learn More About Linear Equations With One Unknown

Based on the elements and charges in Copper (II) Oxalate, CuC₂O₄(s), the solubility in pure water is 1.7 x 10⁻⁴ M.

The solubility equilibrium (Ksp) is 2.9 x 10⁻⁸ so the solubility can be found as:

Ksp = [Cu²⁺] [C₂O₄²⁻]

Solving gives:

2.9 x 10⁻⁸ = S x S

S² = 2.9 x 10⁻⁸

S = 1.7 x 10⁻⁴ M

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The value of solubility for cuc2o4(s) in pure water when the value of solubility product, Ksp for it is 2.9 ×10⁻⁸, is 1.703 × 10⁻⁴.

The solubility of a chemical compound or an element is the property or ability of it to be dissolved, specially in water.

The solubility for CuC₂O₄(s) in pure water has to be found out.  The solubility product is,

[tex]K_{sp}=2. 9 \times 10^{-8}[/tex]

Let suppose x is the molar solubility of CuC₂O₄(s). From the ICE approach solution,

[tex]K_{sp}=x^2\\2. 9 \times 10^{-8}=x^2\\x=\sqrt{2. 9 \times 10^{-8}}\\x=1.703 \times 10^{-4}\rm\; M[/tex]

Thus, the value of solubility for cuc2o4(s) in pure water when the value of solubility product, Ksp for it is 2.9 ×10⁻⁸, is 1.703 × 10⁻⁴.

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Answer:

B. If three sides of one triangle are congruent to three sides of a second triangle then, the triangles are congruent.

Answer: 294 square millimeters

Step-by-step explanation:

Each side of the cube is 7 mm.

First, find the area of one face. The formula for the area of a square is [tex]s^2[/tex]. 7 mm squared is 49 square millimeters.

A cube has 6 faces, so multiply the area of one face by 6. 49*6 = 294 square millimeters