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Answer:

[tex]32,24,18,\frac{27}{2} ,\frac{81}{8}[/tex]

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is [tex]32,x,y,z,\frac{81}{8}[/tex]

Recall that  term of a geometric sequence  are generally in the form:

[tex]a,ar,ar^2,ar^3,ar^4[/tex]

This implies that:

a=32 and [tex]ar^4=\frac{81}{8}[/tex]

Substitute a=32 and solve for r.

[tex]32r^3=\frac{81}{8}[/tex]

[tex]r^4=\frac{81}{256}[/tex]

Take the fourth root to get:

[tex]r=\sqrt[4]{\frac{81}{256} }[/tex]

[tex]r=\frac{3}{4}[/tex]

Therefore [tex]x=32*\frac{3}{4} =24[/tex]

[tex]y=24*\frac{3}{4} =18[/tex]

[tex]z=18*\frac{3}{4} =\frac{27}{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

According to the The Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater then the measure of the third side. So use this theorem to solve:

6+12=18 and 18>5

so far it is following the theorem but we need to make sure all of the sides follow it so lets continue.

6+5= 11 and 11<12

This does not follow the theorem, so the sides 5,6, and 12 cannot form a triangle.

Answer:

False

Step-by-step explanation:

Answer:

The correct option is C.) half the measure 62°

Step-by-step explanation:

i) Intercepted arc measures 124°

ii) The measure of the inscribed angle will be half of the intercepted arc

  therefore inscribed angle  = 124° / 2 = 62°

iii) Therefore the correct option is C.) half the measure 62°

The measure of an angle inscribed in a circle is half the measure of its intercepted arc. Therefore, if the intercepted arc is 124°, the inscribed angle would be 62°.

This problem is related to the relationship between arcs and inscribed angles in circles. In geometry, there's a specific rule that states: the measure of an angle inscribed in a circle is half the measure of its intercepted arc.

Therefore, if the intercepted arc measures 124°, its inscribed angle would have half the measure, or 62°. If the inscribed angle were to have the same measure, it would imply that the arc measure was double the angle, which is not the case here.

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Answer:

Step-by-step explanation:

- 2/5 of an hour is equal to 24 min

- 24 times 20 is 480 minuets during September

- 480 minuets is 8 hours

13f is the expression in simplest form that gives the number of flowers Xia has in the planters

Solution:

Given that,

In may, Xia made 5 flower planters with f flowers in each planter

Therefore,

Number of flowers planted in May:  [tex]5 \times f = 5f[/tex]

In June, she made 8 flower planters with f flowers in each planter

Therefore,

Number of flowers planted in June: [tex]8 \times f = 8f[/tex]

Write an expression in simplest form that gives the number of flowers Xia has in the planters

Total number of flowers planted = Number of flowers planted in May + Number of flowers planted in April

Total number of flowers planted = 5f + 8f = 13f

Thus, the expression is 13f

Step-by-step explanation:

[tex] \frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z) \\ \\ \therefore \: \frac{ (z + 4) - 6 \times 3}{3} = \frac{2(5 - z) }{3} \\ \\ \therefore \: \frac{ z + 4 -18}{3} = \frac{10 - 2z }{3} \\ \\ \therefore \: \frac{ z - 14}{3} = \frac{10 - 2z}{3} \\ \\ \therefore \: z - 14 = 10 - 2z \\ \\ \therefore \: z + 2z = 10 + 14\\ \\ \therefore \: 3z =24 \\ \\ \therefore \: z = \frac{24}{3} \\ \\ \: \: \: \: \: \: \: \: \huge \orange{ \boxed{ \therefore \: z = 8}}[/tex]

The function to represent the growth of the bacteria overtime in your science experiment is:

[tex]y = 70(3^x)[/tex]

Solution:

Given that,

Suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour

Let,

y is the number of bacteria at time x

x is the number of hour(time)

As per the given information,

You start your experiment with 70 bacteria,and the bacteria triples in every hour

Therefore,

At end of 1 hour,

y = 70 x 3 = 210

At the end of 2 hours,

[tex]y = 210 \times 3 = 630\\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^2 = 70 \times 9 = 630[/tex]

At the end of 3 hours,

[tex]y = 630 \times 3 =1890 \\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^3 = 70 \times 27 = 1890[/tex]

Thus at end of "x" hours we will have,

[tex]y = 70 \times 3^x\\\\y = 70(3^x)[/tex]

Thus the function to represent the growth of the bacteria overtime in your science experiment

Answer:

two dollars and fourteen cents

Step-by-step explanation:

Answer:two point fourteen

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.

Let , the number of math that he answers correctly on his his math exam for the year is x

Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.

Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]

Answer:

(1 + 3x).

Step-by-step explanation:

We have to evaluate the missing term within the brackets in the following equation.

The equation is, 5 + 15x = 5(?)

Now, 5 + 15x

= 5 × 1 + 5 × 3x {We have to factorize the term where 5 is a factor}

= 5(1 + 3x) {This is reverse of the distributive property of multiplication}

Therefore, the missing term within the brackets is (1 + 3x). (Answer)

Answer: 216/343 or 0.6297

Step-by-step explanation:

[tex]14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x[/tex]

Answer:

The answer is: 5/20 or a 25% chance

The probability that the pet store owner randomly selects a grey mouse for the window display is 0.25 or 25%.

The question asks for the probability of selecting a grey mouse from a pet store that has a total of 20 mice consisting of 11 white, 5 grey, and 4 brown mice. To find the probability, we use the ratio of the number of grey mice to the total number of mice.

The formula for probability is:

Probability (P) = Number of favorable outcomes / Total number of outcomes

We apply the formula as follows:

P(grey mouse) = Number of grey mice / Total number of mice = 5 / 20 = 0.25 or 25%

Therefore, the probability that the pet store owner selects a grey mouse for the window display is 25%.

Answer:

Step-by-step explanation:

width is 9 and the perimiter is 21

Answer:

[tex]x\geq -\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6[/tex]

Isolate the parts of the equation with the x variable

[tex]2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}[/tex]

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.

Hello there!

Im assuming you're solving for X!

Answer:

Your answer in Inequality Form comes to:

x > -3/4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.  

Answer:32

Step-by-step explanation:

8 times 4

Answer:

Boy: 12   Brother: 6

Step-by-step explanation:

If a boy was 8 years old and in 4 years from the boy was twice is brothers age you would first have to add 4 to the 8 to get how many years old the boy was (8+4=12)

When you get these answer, you would have to divide bye 2 bceause the boy was twice his age and therefore, we would find out how many years old the brother was

(12/2=6)

Answer:

6 meters

Step-by-step explanation:

length= 6+x

width= x

x (x+6)= 72⇔ [tex]x^{2}[/tex] + 6x - 72= 0⇔ x= (-6 ±[tex]\sqrt{6^{2} -4 *1*(-72) }[/tex]) / 2*1⇔

⇔ x= (-6±√324)/2 ⇔ x= (-6±18)/2 ⇔ x= 6 ∨ x= -12

Since the width of a rectangle can't be negative, the answer will be 6 meters.

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

by how much did she increase the time she practised each day?

From Monday to Wednesday she increased 90 - 50 = 40 minutes  the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

Answer: increased by 40

she increased by 80%

Step-by-step explanation:

Answer:

9 x⁶y⁴

Step-by-step explanation:

for a rectangle

area = length x width, (rearranging)

width = area / length

given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

The expression represents the width of the rectangle in yards is 9 x⁶y⁴.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

For a rectangle

width = area / length

The given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

Hence, the expression represents the width of the rectangle in yards is 9 x⁶y⁴.

Learn more about the area;

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13.33.

We have, 150% × x = 20

or,

150

100

× x = 20

Multiplying both sides by 100 and dividing both sides by 150,

we have x = 20 ×

100

150

x = 13.33

If you are using a calculator, simply enter 20×100÷150, which will give you the answer.

Oi, give flamenco brainliest.

Answer

(0,-4) and (4,0).

Step-by-step explanation:

The solutions of a system of equation from a graph is where the graphs intersect.

From the question, you mentioned that the graphs intersect at (0,-4) and (4,0).

Therefore the solutions to the system are (0,-4) and (4,0).

Probably, you might have a straight line and a quadratic graph interesting or two quadratic graphs.

The right answer is Option 2.

Step-by-step explanation:

Given inequality is;

-3x+5>17

Solving the inequality

Subtracting 5 from both sides of the inequality;

[tex]-3x+5-5>17-5\\-3x>12[/tex]

Dividing both sides of inequality by -3;

[tex]\frac{-3x}{-3}>\frac{12}{-3}\\\\x>-4[/tex]

The solution to the inequality is -4.

The right answer is Option 2.

Keywords: subtraction, division

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Answer:

300,904

Step-by-step explanation:

Answer:

She will have 252 seeds left.

Step-by-step explanation:

12 x 42 = 504

504 ÷ 2 = 252

So, she will have planted 252 seeds and she will have 252 seeds left to plant.

Final answer:

Julia has 252 seeds left after planting half of the seeds.

Explanation:

To find out how many seeds Julia has left, we first need to determine the total number of seeds she has. Julia bought 12 bags of cucumber seeds, and each bag contains 42 seeds. So the total number of seeds she has is 12 bags × 42 seeds per bag = 504 seeds.

If Julia plants one-half of the seeds, she would be planting 504 seeds × 1/2 = 252 seeds.

To find out how many seeds she has left, we subtract the number of seeds she planted from the total number of seeds she initially had. 504 seeds - 252 seeds = 252 seeds left.

Answer:

3x - 6 < 18

3x < 24

x < 8

answer is a

Answer:

The cost of one cricket bat is $370, while the cost of one cricket ball is $185.

Step-by-step explanation:

Let's identify what we already know:

1) Mr. Lenny paid a TOTAL of $1480.00 for 4 cricket balls, and two cricket bats.

2) The cost of one cricket bat is twice as much as a cricket ball.

We can create an initial equation:

(4 times x) + (2 times y) = $1480.00

x is the price of one cricket ball, while y is the price of one cricket bat. Considering how the problem is set up, I know the 4 balls should add up to the same price as two bats.

So, the four balls should equal half of $1480, which is $740, and the two bats should also equal $740.

Calculate it out, and you'll find that one cricket bat equals $370, while one ball equals $185.

The question can be solved by representing the cost of a ball as x and bat as 2x, forming the equation 4x + 2(2x) = 1480. Solving this equation finds the cost of the individual cricket ball and bat.

In this question, we know that the cost of one cricket bat is twice the cost of a cricket ball, and that Mr. Lenny bought 4 cricket balls and 2 cricket bats for $1480.00. To solve for the individual price of each item, we can use the method of substitution in algebra.

Let's represent the cost of a ball as x and a bat as 2x. This becomes an equation of 4x (cost of 4 balls) + 2(2x) (cost of 2 bats) = 1480.

Solving for x will give us the cost of one cricket ball, and multiplying the value of x by 2 will offer the cost of a single cricket bat.

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Answer: x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)(Distribute)

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)(Combine Like Terms)

−4x−31=−25x+−10

−4x−31=−25x−10

Step 2: Add 25x to both sides.

−4x−31+25x=−25x−10+25x

21x−31=−10

Step 3: Add 31 to both sides.

21x−31+31=−10+31

21x=21

Step 4: Divide both sides by 21.

21x/21 divided by 21/21

Get x = 1

Answer:

x=1

Step-by-step explanation:

*I underlined everything we are working with at that moment

- 31 - 4x = - 5 - 5(1+5x)

-5(1+5x)=5-25x

-31-4x=-5-5-25x

-31=-10-21x

-21=-21x

x=1

Answer: y=- 1/3x

Step-by-step explanation:

Answer:1

Step-by-step explanation:

3 full parts out of 3 is 1

Answer:

1

Step-by-step explanation:

Any number over itself always simplifies to 1

Answer:

(4x + 3) + (-2x + 4) = 2x + 7  

Step-by-step explanation:

(4x + 3) + (-2x + 4) =     you then collect like terms  

(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis

= 2x + (3 + 4). step-by-step

= 2x + 7.  then that is how you get =2x+7

Answer:

The answer to your equation would be 2x + 7.

Step-by-step explanation:

4x + 3 + -2x + 4

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

= 2x + (3 + 4)

= 2x + 7

Therefor, your answer would be 2x + 7.