a teacher plans to put students in groups of 4 for an upcoming quiz. how many possible groups of 4 students can be formed from the 20 in the class?

Answer:

7A, 8D

Step-by-step explanation:

The compound interest formula is as followed

\(A = P(1+\frac{r}{n} )^{nt}\\\)

A = accumulated amount

P = principle

r = interest rate

n = compounding

t = time

The accumulated amount is represented by f(x).

The principle is the amount of money you start with. In this case Tommy starts with 2000 dollars. P = 2000

The interest rate is 5%. This needs to be converted into a decimal.

5% = 0.05 = r

The money is compounded annually, thus n = 1.

The time is represented by x. x = t.

thus

\(f(x) = 2000(1+0.05)^{x}\)

After six years, you simply find f(6), or substitute 6 into x.

f(6) = 2000(1.05)^6 = $2,680.19

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Given

8 times the quantity of X and 8

Find

Translate into an expression

Explanation

Quantity be X

so , according to the question ,

8 (X + 8)

Final Answer

Hence , the required expression is 8 (X + 8)

Answer:

k=12

Step-by-step explanation:

From X=3 , Y=2

k = 12

Step-by-step explanation:

Given,

\({ \tt{x = 3}}\)

\({ \tt{y = 2}}\)

The given Eqⁿ is,

\({ \purple{ \tt{2x + 3y = k}}}\)

Substitute the value of x and y in the given Eqⁿ then,

\({ \purple{ \tt{2}}(}{ \red{ \tt{3}}}) + { \purple{ \tt{3}}(} \red{ \tt{2}}) = { \purple{ \tt{k}}}\)

\({ \purple{ \tt{6 + 6 = k}}}\)

\({ \boxed{ \red{ \sf{k = 12}}}}\)

The area of the label on the canned tuna fish would be A = 25.13272 square inches

Given data ,

The whole side of the can, including the can's lateral surface area, is covered with the label for the canned tuna fish. The following formula may be used to determine a cylinder's lateral surface area:

Height x circumference = lateral surface area.

The radius (r) would be half of the can's diameter, or 2 inches, since its diameter is 4 inches.

The formula: may be used to determine a circle's circumference.

Circumference = 2πr

On simplifying , we get

Circumference = 2 × 3.14159 × 2 = 12.56636 inches

Lateral surface area = height × circumference = 2 × 12.56636 = 25.13272 square inches

Hence , the lateral surface area of the label is A = 25.132 inches²

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The complete question is attached below :

A can of tuna fish has a diameter of 4 inches and a height of 2 inches what is the area of the label of the canned assuming that covers the entire side if they can

Answer:

D

Step-by-step explanation:

The answes D kiddo cuz

10 x 3 = 30 and 17 x 3 = 51

Answer;

It causes an increase in the MAD, but not the IQR

Explanation;

Mathematically, we know that an outlier in a dataset represents a value that is at least 2 standard deviations away from the mean value

While MAD represents the mean absolute deviation, IQR represents the interquartile range

It is expected that the outlier affects the value of the standard deviation

By calculating the MAD, we have to subtract values from the mean and square them and this makes the mean absolute deviation affected by the outlier

Hence, we can conclude that the presence of an outlier increases the mean absolute deviation

For the interquartile range, it only moves the lower quartile and the upper quartile same way and thus, it has no effect on it

Answer:

ii) Obtuse? iii) Right? Thus, the two acute angles cannot be supplementary angles. Thus, the two obtuses angles cannot be supplementary angles.

Answer:

since acute angles obtuse angles cannot be supplementary angles Thus, right angles are supplementary angles

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (6,-5) and (3,0) is;

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

[Using double point formula]

Now, Put all values,

\((y + 5) = \frac{0 + 5}{3 - 6} (x - 6)\)

Simplify it to get equation.

\((y + 5) = - \frac{5}{3} (x - 6)\)

\(3(y + 5) = - 5(x - 6)\)

\(3y + 15 = - 5x + 30\)

\(5x + 3y + 15 - 30 = 0\)

\(5x + 3y - 15 = 0\)

Therefore the required equation is 5x + 3y - 15 = 0.

Hope it helps...

Answer:

y = -5/3x + 5

Step-by-step explanation:

The formula for the equation of a line is :

y - y1 = m (x-x1)

m is the gradient

formula

\(\frac{y2-y1}{x2-x1} \\\\\)

= (0--5)/ (3-6)

=5 / -3

gradient = - 5/3

y - y1 = m (x-x1)

y - -5 = -5/3 (x - 6 )

y + 5 = -5/3 x + 10

y = -5/3x + 10 - 5

y = -5/3x + 5

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion.

(a)

\(\frac{PQ}{AB}\) = \(\frac{RS}{CD}\) ( substitute values )

\(\frac{PQ}{6}\) = \(\frac{12}{8}\) ( cross- multiply )

8 × PQ = 72 ( divide both sides by 8 )

PQ = 9 cm

(b)

\(\frac{AD}{PS}\) = \(\frac{CD}{RS}\) ( substitute values )

\(\frac{AD}{10.5}\) = \(\frac{8}{12}\) ( cross- multiply )

12 × AD = 84 ( divide both sides by 12 )

AD = 7 cm

(c)

given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

here ratio of sides CD : RS = 8 : 12 = 2 : 3

then ratio of areas = 2² : 3² = 4 : 9

let the area of PQRS be x , then using proportion

\(\frac{4}{48}\) = \(\frac{9}{x}\) ( cross- multiply )

4x = 432 ( divide both sides by 4 )

x = 108

then area of PQRS = 108 cm²

The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.

Correct option is (C).

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

x² - 4x - 12.

To determine the factor, solve the expression,

x² - 6x + 2x - 12

x(x - 6) + 2(x - 6)

Take (x - 6) common,

(x - 6)(x + 2)

According to the given condition, the factors are (x + p)(x + 1)

Compare the values,

p = -6 and q = 2

The values of p and q are -6 and 2.

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Answer:

(-15) - (-18)

=> -15 + 18

=> 3

If my answer helped, please mark me as the brainliest!!

Thank You!!

Answer:

Step-by-step explanation:

Change into improper fraction

\(-2\frac{5}{8}*4\frac{1}{3}=\frac{-21}{8}*\frac{13}{3}\\\\ = \frac{-7}{8}*\frac{13}{1}\\\\=\frac{-91}{8}\\\\=-11\frac{3}{8}\)

The angle measures for this problem are given as follows:

Angles 1 and 120º are corresponding angles, as they are in the same position relative to the two parallel lines, on the same side relative to the transversal line, hence they are congruent, that is:

m < 1 = 120º.

Angles 1 and 4 are opposite by the same vertex, meaning that they are also congruent, that is:

m < 4 = m < 1 = 120º.

Angle 3 forms a linear pair with angle 4, meaning that they are supplementary, hence:

m < 3 + m < 4 = 120º

m < 3 = 60º.

Angles 2 and 3 are corresponding angles, hence:

m < 2 = 60º.

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If we were using undetermined coefficients to find the particular solution of these ODEs, the appropriate guesses would be: (a) For x^n + 5x' + 6x = e^3t, we would guess a particular solution of the form: x_p = Ae^3t. (b) For x^n + 5x' + 6x = e^-3t, we would guess a particular solution of the form: x_p = Ae^-3t.

where A is a constant coefficient to be determined.
For the given ODEs, we'll be guessing the particular solutions using the method of undetermined coefficients.
(a) x^n + 5x' + 6x = e^3t
Our guess for the particular solution is of the form:
xp(t) = A*e^3t
where A is the undetermined coefficient we need to find.
(b) x^n + 5x' + 6x = e^(-3t)
Our guess for the particular solution is of the form:
xp(t) = B*e^(-3t)
where B is the undetermined coefficient we need to find.

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Answer:

The coordinates of the vertex will be (-4,-1)

Step-by-step explanation:

Let's recall that the vertex is in the middle point of the roots of a quadratic function.

The root are (-3,0) and (-5,0) so the x-value of the vertex will be:

\(x_{vertex}=\frac{-5-(-3)}{2}-3\)

\(x_{vertex}=-1-3=-4\)

The y-value of the vertex is given by the minimum value, that is -1

Therefore, the coordinates of the vertex will be (-4,-1)      

I hope it hleps you!

Yes, a logarithmic equation can have more than one extraneous solution.

An equation involving the logarithm of an expression containing a variable is known as a logarithmic equation. It is possible for a logarithmic equation to have more than one extraneous solution and the logarithms of positive numbers only exist.

For example,

log(x-5) + log(x-2) = 1

log((x-5)(x-2)) = 1

(x-5)(x-2) = 10¹

(x-5)(x-2) = 10

x² - 7x + 10 = 10

x² - 7x = 0

x(x - 7) = 0

x = {0, 7}

0 is an "extraneous" solution because you cannot plug it back into the original equation.

The solution is x = 7.

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Answer:

25x+100

Step-by-step explanation:

area of parallelogram = base*height

(x+4) * h = (5x+20)^2= 25x^2 + 200x + 400

h = 25x^2+200x+400/ (x+4)

= 25x + 100

Answer: true

Step-by-step explanation:

The good Samaritan law allows you to help people and not be liable for trying to do so.

Answer:

i cannot answer your question accuratley because you did not provide enough information but i can show you how to solve your problem

Step-by-step explanation:

if you are provided with the amount of cups they sold multiply that number by $0.50. divide the product by 5 and you will get your answer

hope this helps :)

The price per can has been lowered by R2, making the standard can cost R7.

A mathematical assertion that establishes the equivalence of two expressions is known as an equation. It is made up of two sides, a left and a right side, separated by the equal sign (=). The equation, which is typically used to determine an unknown variable's value, requires that the values on both sides be equal. Exponents, logarithms, multiplication, division, addition, subtraction, and other mathematical operations can all be used in equations.

given

Let's say that the standard price per can is "x" Rand.

The revised price is (x-2) Rands if the price is decreased by R2.

The issue is that 14 cans are being offered for the customary price of 10 cans. Thus, we can construct the equation:

10x = 14(x-2) (x-2)

After finding x, we obtain:

10x = 14x - 28

-4x = -28

x = 7

The price per can has been lowered by R2, making the standard can cost R7.

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Answer:

Step-by-step explanation:

fdsdfghjhgv njhgfghj nbhgvfgbh nhgvfbhg huygvbh huyvg hbv

The number .00004 is .000036 more than the number .000004.

As evident in the task content; the difference between the decimal numbers .00004 and .000004 is to be determined.

The difference is as follows;

.00004 - .000004

= .000040 and .000004

= .000036.

Ultimately, the difference between the numbers as given is; .000036.

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Answer:

Its 68 because left side is 20 right side is 20 and top and bottom are both 8 and the back and front are 10

Given ;

9(0.2)n − 1 n = 1

The given geometric series is convergent.

Σ [from n=1 to infinity] 9(0.2)^(n-1)

To determine if a geometric series is convergent or divergent,

we need to look at the common ratio (r). In this case, r = 0.2.

A geometric series is convergent if the absolute value of the common ratio is less than 1 (|r| < 1) and divergent if the absolute value of the common ratio is greater than or equal to 1 (|r| >= 1).

Since |0.2| < 1, the given geometric series is convergent.

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The series 1/4 + 3/16 + 1/64 + 3/256 + 1/1024 + 3/4096 + ... is convergent with a sum of 13/39.

To determine whether the series 1/4 + 3/16 + 1/64 + 3/256 + 1/1024 + 3/4096 + ... is convergent or divergent, we can examine the pattern of the terms and check for convergence.

The series is of the form: 1/4 + 3/16 + 1/64 + 3/256 + 1/1024 + 3/4096 + ...

We can observe that the denominator of each term follows a pattern of powers of 4, while the numerator alternates between 1 and 3.

We can rewrite the series as:

(1/4) + (3/4²) + (1/4³) + (3/4⁴) + (1/4⁵) + (3/4⁶) + ...

The series can be expressed as the sum of two separate geometric series:

(1/4) + (1/4³) + (1/4⁵) + ... (Geometric series 1)

and

(3/4²) + (3/4⁴) + (3/4⁶) + ... (Geometric series 2)

To determine whether these geometric series converge or diverge, we need to check the absolute value of the common ratio (r) of each series:

For Geometric series 1: r = 1/4² = 1/16

For Geometric series 2: r = 3/4² = 3/16

Both r values are between -1 and 1, so the geometric series converge.

The sum of a convergent geometric series is given by the formula:

Sum = a / (1 - r)

where "a" is the first term and "r" is the common ratio.

For Geometric series 1:

Sum1 = (1/4) / (1 - 1/16) = 4/15

For Geometric series 2:

Sum2 = (3/4²) / (1 - 3/16) = (3/16) / (13/16) = 3/13

To find the sum of the original series, we add the sums of Geometric series 1 and Geometric series 2:

Sum = Sum1 + Sum2 = 1/3 + 3/13 = 13/39

Therefore, the series 1/4 + 3/16 + 1/64 + 3/256 + 1/1024 + 3/4096 + ... is convergent with a sum of 13/39.

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According to the information, the line plot would be as shown in the attached image. The most frequent points are 1/2 and 1 1/4

To draw a line plot we must take into account the information in the table. It shows the relationship between the location of the plants with their size.

According to the above, we can infer that the botanist found that the highest frequencies in the height of the plants were 1/2 and 1 1/4 because each of these heights had 2 plants. The rest of the measures had 1.

Note: This question is incomplete. Here is the complete information:

Attached image

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Answer:

x = -3

Step-by-step explanation:

-5(x+1) = 10

Distribute

-5x - 5 = 10

get rid of the -5 by making it positive and adding it to the other side

-5x = 15

divide 15 by -5

x = -3