\(12 \div 85\)
Math

i don't know this ​

Answer:

40 years old.

Step-by-step explanation:

We can let Elga's age equal \(x\). Alvin's age can be equal to \(y\). We can make several equations from the information we know. We know that Elga's age plus five equal's Alvin's age.

\(x+5=y\)

We also know that the sum of their ages is 85.

\(x+y=85\)

We can substitute \(x+5\) for \(y\) in the second equation since \(x+5=y\), so we have the following equation:

\(x+(x+5)=85\)

We can combine like terms to get

\(2x+5=85\)

Subtracting 5 from both sides results in

\(2x=80\)

After that, we can divide both sides by 2 to get

\(x=40\)

Thus, Elga is 40 years old.

Answer:

e = 40

a=45

Step-by-step explanation:

a + e = 85

a = e+5

e + 5 + e = 85

2e = 80

e = 40

a=45

Answer:

98 liters

Step-by-step explanation:

add 39 and 59

Answer:

-P is true.

Step-by-step explanation:

q v-p is false.

Answer:

471.1 square units

Step-by-step explanation:

A regular nonagon is a 9-sided polygon with sides of equal length.

The apothem of a regular polygon is the distance from the center of the polygon to the midpoint of one of its sides.

Therefore, the given diagram shows a regular nonagon with an apothem of 12 units.

The side length (s) of a regular polygon can be calculated using the apothem formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Apothem of a regular polygon}\\\\$a=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\where:\\\phantom{ww}$\bullet$ $s$ is the side length.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Given values:

Substitute the given values into the formula to create an expression for the side length (s):

\(12=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{9}\right)}\)

\(12=\dfrac{s}{2 \tan\left(20^{\circ}\right)}\)

\(s=24 \tan\left(20^{\circ}\right)\)

The standard formula for an area of a regular polygon is:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\cdot s\cdot a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute the found expression for s together with n = 9 and a = 12 into the formula and solve for A:

\(A=\dfrac{9 \cdot 24 \tan(20^{\circ}) \cdot 12}{2}\)

\(A=1296\tan(20^{\circ})\)

\(A=471.705423...\)

\(A=471.7\; \sf square\;units\;(nearest\;tenth)\)

Therefore, the area of a regular nonagon with an apothem of 12 units is 471.1 square units, rounded to the nearest tenth.

we have the following:

complete square

vertex form:

The amount of the tv in 3 years which depreciates at a rate of 4% per year is £708 .

We have given principal amount =  £800 , rate = 4% and time = 3 years .

Putting above values in equation (1) , we get

        \(A=800(1-\frac{4}{100} )^3\\A= 800(1 -0.04)^3\\A=800(0.96)^3\\A=800\times 0.88\\A= \£707.78\)

Note that the minus sign is due to depreciation .

On rounding off , amount will be £708 .

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The expression that represents the combined inventory of these two stores is given as follows:

A. 7g²/2 - 4g/5 + 15/4.

The combined inventory is obtained adding the inventories for each store, combining the like terms.

The addition of the like terms for g² is given as follows:

1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².

The term with g is given as follows:

-4g/5.

The constant like terms are combined as follows:

7/2 + 1/4 = 14/4 + 1/4 = 15/4.

Hence the simplified expression is given as follows:

7g²/2 - 4g/5 + 15/4.

Meaning that the correct option is given by option A.

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F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

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Answer: A) 83

Explanation:

Representing this segments in a number line, and supposing that they are arranged in alphabetical order:

Here we can see that if we sum all of the segments they must be equal to 18x+44:

Combining like terms:

Now we move all of the terms with x to the right side and all of the independent numbers to the left side:

And now that we know the value of x, we can find BC:

Which is option A)

The largest force p that can be applied to the bracket shown - P = 80 MPa × (b × h).

Largest force P that can be applied to the bracket, we need to consider the allowable stress in section ABD, which is given as 80 MPa.
Step 1: Identify the relevant variables
- Allowable stress in section ABD: 80 MPa
Step 2: Determine the cross-sectional area of section ABD
- We need the dimensions of section ABD to calculate the area.

Let's assume the width (b) and height (h) are given.
- Cross-sectional area of section ABD = b × h
Step 3: Apply the stress formula
- Stress = Force / Area
- Allowable stress in section ABD = Force P / Area of section ABD
Step 4: Solve for the largest force P
- 80 MPa = P / (b × h)
- P = 80 MPa × (b × h)

Now that we have a formula for the largest force P, you can plug in the specific dimensions of section ABD (width and height) to find the exact value of P.

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Answer:

The answer Step-by-step is D because I just know

Answer:

It would be D

Step-by-step explanation:

Answer:

The image is blurry...try fixing it so I can help you.

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

$321.20

Step-by-step explanation:

$32.20x 4= $128.80

$450.00-$128.80= $321.20

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

hope this answer helps you dear!

Telling Marvin the number 18 should get us into the museum.

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.

To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.

Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.

Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.

Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.

Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.

Therefore, telling Marvin the number 18 should get us into the museum.

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Answer:

a) Mean = 4.55

   Median = 4.7

   Mode = 1.9

b) S =  2.3952

   CV = 52.64 %

   Range = 6.3

c) Yes, since the average and median values are both over "acceptable" ranges.

Step-by-step explanation:

Explanation is provided in the attached document.

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

yavonee can read 25 pages in 50 minutes with the same rate.

Step-by-step explanation:

calcuate how may pages does yavonee read in 1 minute

14/28

= 1/2 or 0.5

0.5 * 50

= 25

In 50 minutes Yavonee can read 100 pages with a unit rate of 2 pages per minute.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Yavonee reads 14 pages in 28 mins.

∴ In 1 minute she reads (28/14) = 2 pages.

So, In 50 minutes she can read (2×50) = 100 pages.

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Answer:

see the attachment photo!

Answer:

D is the answer

Step-by-step explanation:

all sides and angles are equal

hope it helps!! let me know if it does

Answer:

500

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

Number of hours worked = 32

Total pay = $160

So, hourly rate

= Total pay/number of hours worked

= $160/32

= $5

Answer:

Step-by-step explanation:

We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).

Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,

So, We will substitute 2 into these functions:

f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13

g(2) = 1 - 2 = -1

Now, we can subtract g(2) from f(2):

(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14

Hence, the required value of (f-g)(2) is 14.

Answer:

The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.

Answer:

D) 32

Step-by-step explanation:

Given;

series: 56, 54, 50, 38, 34, ....

find the difference between successive numbers;

56         54        50             38            34             x

     2            4             12              4             2            

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2.

The next number "x" is calculated as;

34 - 2  = x

34 - 2 = x

32 = x

Therefore, the next number should be 32.

The next number that should come next in the series is 32.

Sequence is an arrangement of two or more things in a successive order.  Series is the cumulative sum of a given sequence of terms.

Given the numbers in the series: 56, 54, 50, 38, 34, . . ..

The difference is 2, 4, 12, 4, 2

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2. Hence:

The next number = 34 - 2 = 32

The next number that should come next in the series is 32.

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The domain and the range of the function represented by the graph are [-2, 2) and (-4, 4]

In mathematics, the domain and range of a function are used to describe the set of possible input and output values of the function, respectively.

From the graph, we have the set of input values to be

Input = From -2 (closed circle) to 2 (open circle)

This means that the domain is

[-2, 2)

From the graph, we have the set of output values to be

Output = From -4 (open circle) to 4 (closed circle)

This means that the range is

(-4, 4]

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