What is the next term of the geometric sequence?
32, 16, 8,

Answer:

Can't be determined

Explanation:It can't be determined since there are two sides that you need to find out.

Answer:

432 cubic inches

Step-by-step explanation:

the ratio of the small bag to large bags side lengths is 12/16

if you want to find the small bags volume, set the ratios equal

we know the large bag is 576 cubic inches so the small bag volume is x

12/16 = x/576

cross multiply

16x= 6912

divide by 16

x= 432

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

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Answer:

The number is 28.35

Step-by-step explanation:

45% of 36

\(\frac{x*y}{100}\)

= \(\frac{45*36}{100}\)

= \(\frac{2835}{100}\)

= 28.35

Answer: 122°

Step-by-step explanation:

Because angles on a straight line are supplementary (add up to 180°), then:

m∠2 = 180° - 58°

        = 122°

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's use the points (2 , 0) and (0 , 2) to find the slope (m), that is :

now, we have been given y - intercept (c) as 2

so, the equation of the line will be :

Answer:

(-x) + 2 = y

Step-by-step explanation:

brainly?

Answer:

The Answer is 164

Step-by-step explanation:

Cut the shape into three rectangles, find the area of each and then add all together

To find the linear distance traveled by a wheel, you need to consider its circumference and the number of complete revolutions it has made. The linear distance traveled is equal to the product of the circumference of the wheel and the number of revolutions.

Here's how you can calculate it:

Determine the circumference of the wheel: Measure the distance around the outer edge of the wheel. This can be done by using a measuring tape or by multiplying the diameter of the wheel by π (pi).

Determine the number of complete revolutions: Count the number of times the wheel has made a full rotation. This can be done by observing a reference point on the wheel and counting the complete cycles it completes.

Calculate the linear distance: Multiply the circumference of the wheel by the number of complete revolutions. This will give you the total linear distance traveled by the wheel.

For example, if a wheel has a circumference of 2 meters and completes 5 revolutions, the linear distance traveled would be 2 meters (circumference) multiplied by 5 (revolutions), resulting in a total distance of 10 meters.

In summary, to find the linear distance traveled by a wheel, multiply the circumference of the wheel by the number of complete revolutions it has made. This calculation allows you to determine the total distance covered by the wheel.

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Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

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Answer:

statement two is CG=AD statement 4 is ADE = CGF

Step-by-step explanation:

I got it right on khan

statement 2 is option 2, statement 4 is option 1

Cg=AD,    CGF

Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is ΔADC≅ΔECD.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes the length of line segment AB, and so on for others).

For the given proof, the third blank space can be filled with ΔADC≅ΔECD. This is because the two triangles have the same sides as shown below,

AD ≅ ED

AC ≅ EC

CD ≅ DC (Given)

Hence, the correct option is ΔADC≅ΔECD.

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Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

Sure! Here's the 99.5% confidence interval for the true population mean textbook weight: (49.433, 60.567) ounces.

To construct a confidence interval for the true population mean textbook weight, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √(sample size))

Given the information provided:

- Sample mean = 55 ounces

- Population standard deviation = 11.4 ounces

- Sample size = 32 textbooks

First, we need to find the critical value corresponding to a 99.5% confidence level. Since the sample size is relatively small (32 textbooks), we can use a t-distribution instead of a normal distribution.

The degrees of freedom for a t-distribution are given by (sample size - 1). In this case, the degrees of freedom will be (32 - 1) = 31.

Using a t-table or a statistical calculator, we find the critical value for a 99.5% confidence level and 31 degrees of freedom is approximately 2.750.

Now, we can calculate the confidence interval:

Confidence Interval = 55 ± 2.750 * (11.4 / √32)

Confidence Interval = 55 ± 2.750 * (11.4 / 5.657)

Confidence Interval = 55 ± 5.567

Therefore, the 99.5% confidence interval for the true population mean textbook weight is approximately (49.433, 60.567) ounces.

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Once the activity is completed, facilitate a discussion among the students to analyze the differences between their predictions and the actual results. This will help reinforce the concept of probability and its properties in their minds.

The teacher should take the following approach with the students who opted to skip the prediction step:

1. Remind the students of the importance of making predictions in the context of probability and its properties. Predictions help them understand the expected outcomes and compare them with the actual results.

2. Instruct the students to pause their coin flipping and return to the prediction step. Ask them to predict the outcomes of the 10 flips, considering the possible results (HH, HT, TH, or TT).

3. After the students have made their predictions, encourage them to resume flipping the coins and recording their findings in a frequency chart.

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Answer:

0%, there is no chance you can roll a 7 on a number cube with 6 sides.

If you meant a 5 and then a 6, or 2 rolls subsequently, it would be 1/36.

Step-by-step explanation:

1/6*1/6=1/36

His speed for the remaining 26 km of the course is given as follows:

24.3 km/h.

The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which the parameters are given as follows:

The time is obtained as the distance divided by the velocity, hence:

t = d/v.

Then the time taken for the first 29 km is given as follows:

t = 29/15

t = 1.93 hours.

180 minutes = 3 hours, hence he took 1.07 hours for the remaining 26 km, hence the velocity is of:

v = 26/1.07

v = 24.3 km/h.

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The maximum number of barrels per day imported in september 2003 was 1.72 million

To find the year when oil imports were greatest, we need to find the maximum value of the function I(t) = -0.015t^2 + 0.1t + 1.4, where t is in years since the start of 2000.

The maximum value of a quadratic function occurs at the vertex, which has x-coordinate equal to -b/2a for a function in the form \(ax^2 + bx + c.\)For this function, a = -0.015 and b = 0.1, so the x-coordinate of the vertex is:

x = -b/2a = -0.1 / (2*(-0.015)) = 3.33

Since t is in years since the start of 2000, the year when oil imports were greatest is 2003.33 (or approximately September 2003).

To find the number of barrels per day imported that year, we can simply plug in t = 3.33 into the function I(t):

\(I(3.33) = -0.015(3.33)^2 + 0.1(3.33) + 1.4\)= 1.72 million barrels per day

Therefore, the maximum number of barrels per day imported was approximately 1.72 million, and this occurred in September 2003.

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After the discount the net price is $7053.75 and the trade discount is 35.875% .

The term discount designates a sum or a percentage subtracted from an item's usual selling price.

The given marked price of the article is 11000

Price after first discount of 5% = 11000 - 5% of 11000 = 10450

Price after second discount of 10% = 10450 - 10% of 10450 = 9405

Price after third discount of 25% = 9405 - 25% of 9405 = 7053.75

Therefore the net price is 7053.75.

Therefore the trade discount is = ( 11000 - 7053.75 ) ÷ 11000 = 0.35875

Trade discount percentage = 35.875%

Hence after the discount the net price is $7053.75 and the trade discount is 35.875% .

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If the function is y=\(\sqrt{x}\), dx/dt=5 and x=9 then dy/dt is equal to 5/6.

Given that the function is y=\(\sqrt{x}\), dx/dt=5 and x=9.

We are required to find the value of dy/dt.

Function is relationship between two or more variables that are expressed in equal to form. The values that we enter in the function is known as part of domain and the values that we get in the function is known as part of codomain.

y=\(\sqrt{x}\)

differentiate both sides with respect to t.

dy/dt=1/2\(\sqrt{x}\) *dx/dt-------1

We have to use the value of x and dx/dt in 1.

dy/dt=1/2*\(\sqrt{9}\) *5

dy/dt=1/2*3 *5

dy/dt=5/6

Hence if the function is y=\(\sqrt{x}\), dx/dt=5 and x=9 then dy/dt is equal to 5/6.

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Question is incomplete. It should include the following function:

y=\(\sqrt{x}\)

The total cashback you will get back is\($ 49.75}\)

The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)

For first sale

                 \(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)

A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.

In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.

Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.

for second Sale:-

There is no tax

So price\($=\$ 50$\)

For third sale: - Buy 3 and get 1 half of

\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)

So, price of 1 piece \($=\$ 46.42$\)

for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.

\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)

Therefore, the cashback you will get back is \($ 49.75}\)

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The number of zeroes or x-intercepts of a polynomial function is related to its highest power, which is determined by the degree of the polynomial. Let's consider a polynomial of degree "n" where "n" is a positive integer.

The minimum number of zeroes or x-intercepts a polynomial can have is zero. This occurs when all the terms of the polynomial have non-zero coefficients and there are no factors that would cause the polynomial to equal zero. For example, a polynomial of degree 2, such as f(x) = x^2 + 1, has no zeroes.

The maximum number of zeroes or x-intercepts a polynomial of degree "n" can have is "n". This is known as the Fundamental Theorem of Algebra, which states that a polynomial of degree "n" can have at most "n" distinct zeroes.

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Answer:

3x+y

Step-by-step explanation:

It's already in simplest form, you can't do anything else to it.

Answer:

7

Step-by-step explanation:

| 6 + z | - | -7 | =

| 6 - 6 | - | -7 | =

- | -7 | =

7

For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

The first point is the p-value is the probability of obtaining a value for the test statistic at least as extreme as that provided by the sample

Second point is here

Confidence level = 0.95

So level of significance = 0.05

and the p-value = 0.09

Since the p-value is higher than the level of significance we do not reject the null hypothesis.

Hence the answer should not be rejected

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

The answers for number 9 are 4^2 and 7^12 respectively. Number 10 is 1/125

Step-by-step explanation:

For the 4^4/4^2 You can use the properties of exponents to solve. When you are dividing exponents with the same base, you can subtract the powers. So the power 4 minus the power 2 gives you 2, so your answer is 4^2.

For the 7^4*7^8 you can also use properties of exponents. When you are multiplying exponents, you can add the powers. So 4+8=12. Your answer would be 7^12

For 5^-3, this is also a power of exponents, but different. When you are given something to the negative exponent, you take the inverse, and keep the power. For your problem it would become 5^-3=1/5^3. Solving 5^3 gives 125, so your answer would be 1/125

Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Step-by-step explanation:

First, start with a diagram so you can 'see' the situation....I'll us a compass rose coordinate system ( see image below)

Vertical component of point C  ( which is the resultant displacement from A)

   900 sin(35) + 600 sin (130) = 975.845 km

Horizontal component  900 cos (35) + 600 cos (130) = 351.56 km

Using Pyhtagorean theorem   d = sqrt ( 975.845^2 + 351.56^2)  = 1037 km

    distance from A to C = 1037 km

Bearing of C from A = arctan ( 975.845/351.56) = 70 degrees

Therefore, the expression \(t^{(-3/4)}\) in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.

Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case,  \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).

Therefore, the expression \(t^{(-3/4)}\)in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

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The graph shows the relationship between the number of students who attend a homecoming dance and the amount of money raised. The graph is a straight line with a slope of $10, passing through the point (0, $80) and another point on the line. The fixed cost for decorations is $80, which is a constant cost that does not depend on the number of students attending the dance. For each additional student that attends the dance, the amount of money raised will increase by $10.

Answer:

y = 10x - 80

Therefore your answer is B, hope this helps! :)

We were given that:

The iguana is 42cm at birth

It increases by 12% every week; r = 12% = 0.12

The number of weeks is represented by ''x'' & the length of the Iguana is represented by ''y''

This function is represented by the expression below: