Can someone help me with this algebra question

Answer:

[tex] a_{1} = -34,\: a_{2} = -44,\: a_{3} = -54,\: a_{4} = -64,\: a_{5} = -74[/tex]

____________________________________

[tex] a_{n} = -34\:–\:10(n-1) [/tex]

Answer:

7

Step-by-step explanation:

Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

[tex]\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right][/tex]

Is just completed as:

[tex]\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right][/tex]

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right][/tex]

Answer:

tanθ = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

let the unknown side be x , then

Using Pythagoras' identity in the right triangle

x² + 5² = 17²

x² + 25 = 289 ( subtract 25 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Then

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]

Answer:

flutter, flap, beat, agitate, vibrate; tremble          could be one of these

Step-by-step explanation:

Answer: vibrate, tremble

Step-by-step explanation:

Answer:

Since both terms are perfect squares, factor using the difference of squares formula.

(x+9y)(x−9y)

Answer:

Step-by-step explanation:

x^2-81y^2

=(x)^2-(9y)^2

=(x-9y)(x+9y)

Answer:

Step-by-step explanation:

take angle A as reference amgle

using cos rule

cos A=adjacent/hypotenuse

0.9659=c/25

0.9659*25=c

24.1475=c

Answer:

[tex] \cos(47 \degree) = \frac{h}{12} \\ h = 12 \cos(47 \degree) \\ h = 8.2 \: cm[/tex]

you need to use cos

function

Answer:

x > -5

Step-by-step explanation:

[tex]-5(x+7)<-10\\x+7>2\\x>-5[/tex]

Answer:

x > -5

Step-by-step explanation:

-5 (x+7) < -10

The next step is to divide both sides by -5 and flip the sign

(x+7) > [(-10/(-5)]

x+7 > 2

Finally, subtract both sides by 7

x > 2-7

x > -5

Answer:

[tex]{ \boxed{ \tt{height = \sqrt{ {(hypotenuse)}^{2} - {(adjacent)}^{2} } }}} \\ h = \sqrt{ {(12)}^{2} - {( \frac{6}{2} )}^{2} } \\ h = \sqrt{135} \: cm \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]

The height of the cone is 11.6 centimeters.

'A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has the measured value of radius. And the length of the cone from the vertex to any point on the circumference of the base is the slant height.'

According to the given problem.

Given,

Diameter = 6 cm

Radius = 6/2 cm

            = 3 cm

Slant height (l) = [tex]\sqrt{r^{2} + h^{2} }[/tex]

                 ⇒ l² = r² + h²

                 ⇒ l² - r² = h²

                 ⇒ 12² - 3² = h²

                 ⇒ 144 - 9 = h²

                 ⇒ h² = 135

                 ⇒ h = √135

                 ⇒ h = 11.6 cm

Hence, the height of the cone is 11.6 centimeters.

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Answer:

[tex]6^{7-5} = 6^2[/tex]

Step-by-step explanation:

Answer:

36.

Step-by-step explanation:

6^7 / 6^5

= 6^(7-5)

= 6^2

= 36.

Answer:

18

Step-by-step explanation:

g(x) = x^2

g(3) = 3^2 =9

g(-3) = (-3)^2 = 9

g(3) + g(-3) = 9+9 =18

Answer:

18

Step-by-step explanation:

g ( x) = x²

g ( 3 ) = ( 3 )² = 9

g ( -3 ) = ( - 3 )²

g ( - 3 ) = 9

g( 3 ) + g ( -3 ) = 9 + 9 = 18

Answer:

1,100 is your area

Step-by-step explanation:

First we cut the shape into three, two triangles and a square, the formula to find the area of a square is A=a^2 (a is the side)

A=25^2

A=625

now to find the triangles the formula to find the are we use the right angled triangle formula twice which is A=a*b/2

A=25*19/2

A=475/2

A=237.5

now add them all up

625+237.5+237.5=

1,100

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Answer:

0.2 or less

Step-by-step explanation:

since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

✐ The probability that the sweet is orange flavored is 0.2

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

The lines are parallel because they have the same slope(5x)

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer:

82 degrees is the answer

Step-by-step explanation:

angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus

angle 7 = 180 - 98 = 82 deg

The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.

The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.

∠6 = 98 degrees

Therefore,

∠6 + ∠7 = 180°(angles on a straight line)

∠6 = 98 degrees

Hence,

98 + ∠7 = 180

subtract 98 from both sides

98 - 98 + ∠7 = 180 - 98

∠7 = 82 degrees.

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Answer:D.5

Step-by-step explanation:

Answer:

1 kilometer

0.621371 miles

Step-by-step explanation:

Given data

In the given table we are presented with the conversion table for common units and we are required to present the conversion for kilometers to miles

Hence the conversion from kilometers to miles is presented below

1 kilometer

0.621371 mile

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

Answer:

25

----

36

Step-by-step explanation:

Square both the numerator and the denominator of this fraction, 5/6:

25

----

36

The sqaure will be like this;

= 5/6 × 5/6

= 25/36

EASY!!

Answer:

C)

Step-by-step explanation:

3/4 · 12 = 9

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

The third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].

The sequence exists in a particular order in which connected things follow each other.

The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2

Second term b will be [tex]$-2*6+13=1$[/tex]

The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]

So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]

If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]

If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]

So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.

Therefore, the third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex]  exists reversed will be [tex]$\frac{a-13}{6}$[/tex].

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Answer:

b < -2

Step-by-step explanation:

-5 - b < 3

-5 - b + -5 < 3 + -5

b < -2

Answer:

-0.43/100

Step-by-step explanation:

then divide those two numbers by a number that they both can be divided by/the GCF

Answer:

money earned = 110

Step-by-step explanation:

Money earned * percent saved = money saved

money earned * 30% = 33

Change to decimal form

money earned * .30 = 33

Divide each side by .3

money earned = 33/.3

money earned = 110

Answer:

Answer:so -7-5 is graeter than  - 1 /1/5 and it above 1/1/5

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex](y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\[/tex]

Answer:

x³ + 11x² + 36x + 36

Step-by-step explanation:

(x+2)(x+3)

x² + 3x + 2x + 6

x² + 5x + 6

(x² + 5x + 6)(x+6)

x³ + 6x² + 5x² + 30x + 6x + 36

x³ + 5x² + 6x² + 30x + 6x + 36

x³ + 11x² + 36x + 36