Please answer quick! Explication would be awesome


Isosceles triangle with a base of 10

Find the lengths of the legs.

__ units

Answer:

y=48

Step-by-step explanation:

2(60)+3y=264

120+3y=264

3y=144

y=48

Answer:

2(60)+3y=264

Step-by-step explanation:

2(60)+3y=264

120+3y=264

3y=144

And 144/3=48

Answer:

no solution

Step-by-step explanation:

There are no values of x that make the equation true.

The given statement "number 3 to exponent 4" in exponential form is be written as 3⁴ , and the value of this expression is 81 .

The Exponential expression represented as "xⁿ" is read as the number x multiplied by itself "n" number of times .

we have to write "3 to exponent of 4" in exponential form ,

So , the exponential form is 3⁴ , it means that the number 3 is multiplied itself four times ;

the value of this expression is calculated as :

⇒ \(3^{4} = 3\times 3\times 3\times 3\)

⇒ \(9\times 9\)

⇒ 81 .

Therefore , the exponential form of "3 to the exponent of 4 " is 3⁴ .

The given question is incomplete , the complete question is

What is the exponential form of 3 to the exponent 4 ?

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Working together will take them 2 hours and 46 minutes which is 166 minutes.

So,

The work equation is now:

\(\begin{aligned}&\frac{1}{4} t+\frac{1}{9} t=1 \\&\frac{9}{36} t+\frac{4}{36} t=1 \\&\frac{13}{36} t=1\end{aligned}\\\frac{36}{13} \cdot \frac{13}{36} t=\frac{36}{13} \cdot 1\\t=\frac{36}{13} \mathrm{hrs}\\\frac{36}{13} \cdot 60 \approx 166 \min\)

Therefore, working together will take them 2 hours and 46 minutes which is 166 minutes.

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Perimeter = 72cm

Area = 374.1cm²

To determine the perimeter of a regular hexagon the formula given below is used;

Perimeter of hexagon = 6a

where a = 12 cm

Perimeter = 6×12 = 72cm

Area = 3√3/2(a²)

where a = 12cm

area = 3√3/2×144

= 3√3× 72

= 374.1cm²

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Standard form

\(\\ \rm\rightarrowtail y=-4(x+5)^2+4\)

\(\\ \rm\rightarrowtail y=-4(x^2+10x+25)+4\)

\(\\ \rm\rightarrowtail y=-4x^2-40x-100+4\)

\(\\ \rm\rightarrowtail y=-4x^2-40x-96\)

Answer:

\(y=-4x^2-40x-96\)

Step-by-step explanation:

Standard form of a quadratic function:  \(y=ax^2+bx+c\)

Given function:

\(y=-4(x+5)^2+4\)

Apply Perfect Square formula \((a+b)^2=a^2+2ab+b^2\) to \((x+5)^2\)

\(\implies y=-4(x^2+10x+25)+4\)

Expand brackets:

\(\implies y=-4x^2-40x-100+4\)

Simplify:

\(\implies y=-4x^2-40x-96\)

Answer:

yes

Step-by-step explanation:

huh show us a picture of it or something,

The even integers are 10,12 and 14.

Concept:  An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

Let x,x+2,x+4 be the least, middle and greatest integer respectively.

According to the question,

15< x+x+2+x+4< 21

(3x+6)/2> 15      and    (3x+6)/2< 21

30< 3x+6                      3x+6> 42

24<3x                            3x<36

8<x                                x>12

x=10

x+2=12

x+4=14

Hence, The even integers are 10,12 and 14.

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The social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical process, and extraction of roots

Main body:

Cumulative Earnings before this pay period = $128,300

pay amount this period = $3000

tax rate of 6.2% on social security = 6.2%

effective earning = 128300 = 3000

                            = 125300

social security deduction = 6.2 % of 125300

⇒ 6.2 *125300 /100

⇒$7768

Medicare deductions = 1.45%

⇒ 1.45*125300/100

⇒$1816

Hence , the social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

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The given equation is 8x - 6(4x) + 11(2x) - 6 = 0.To solve the above equation, we need to simplify it by using the distributive property and combining like terms.

\(8x - 24x + 22x - 6 = 0 6x - 6\)

= 0Now, we will isolate the variable by adding 6 to both sides.

\(6x - 6 + 6 = 0 + 6 6x\)

= 6To find the value of x, we will divide both sides by 6.

x = 1Therefore, the solution of the equation 8x - 6(4x) + 11(2x) - 6

= 0 i

s x = 1.

Note: The solution of an equation is the value(s) of the variable(s) that make the equation true. In this case, when we substitute x = 1 in the given equation, it satisfies the equation and makes it true.

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When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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As a point estimator for, we utilise x-bar (sample mean) (mu, population mean)

The average value in mathematics is the middle number, which is calculated by dividing the total number of numbers by the sum of all the numbers. A set of data's average is calculated by adding up all the values and dividing the result by the total number of values.

We use the x-bar (sample mean) as a point estimator for (mu, population mean). As long as the sample is random, this estimator's impartial long-run distribution is centred at (mu).

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Complete question -

Answer:

36:54:90

Step-by-step explanation:

First 180*2/10=36

second 180*3/10=54

thirds 180*5/10=90

36+54+90=180  

Answer:   x = 8

The diagram is shown below.

==================================================

Explanation:

Use the SAS triangle area formula to get the following equation.

area = 0.5*side1*side2*sin( angle between those sides)

area = 0.5*AB*AC*sin( angle BAC )

area = 0.5*(x+1)*x*sin(30)

area = 0.5x(x+1)*0.5

area = 0.25x^2+0.25x

Set this equal to the stated area of 18 square cm and solve for x.

0.25x^2+0.25x = 18

4*(0.25x^2+0.25x) = 4*18

x^2+x = 72

x^2+x-72 = 0

(x-8)(x+9) = 0

x-8 = 0 or x+9 = 0

x = 8 or x = -9

Ignore the negative value since we cannot have a negative side length.

The only possible outcome is that x = 8 which leads to x+1 = 8+1 = 9.

The diagram is below.

The charge for the companies is the same at 500 minutes

From the question, we have the following parameters that can be used in our computation:

This means that

A(x) = 50 + 0.05x

B(x) = 0.15x

When the charge for the companies are the same, we have

0.15x = 50 + 0.05x

So, we have

0.1x = 50

Divide

x = 500

Hence, the number of minutes is 500

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Answer:

6/18=1/3=2/6=3/9=4/12=5/15

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Answer: 2.4% I think

12 x 20 / 100 = 2.4%

The time when there will be 20% of the initial substance remaining is 2.4%

Given that,

= 12% of 20%

= 2.4%

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Answer:

A

Step-by-step explanation:

I would say A if the c is equal to 65. If you follow the Pythagorean's Theorem, it states a^2+b^2=c^2

Answer:

144

Step-by-step explanation:

4 x 4 = 16 x 2 = 32

7 x 4 = 28 x 2 = 56

7 x 4 = 28 x 2 = 56

add them up

144

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Answer:

Step-by-step explanation:

Answer:

3.4

Step-by-step explanation:

the answer would be 3.4

Answer:

Your moving (2, -1)

Step-by-step explanation:

You start at (0, -3) then move to (2, -2)

So your moving (2, -1)

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

m1 is 25 and m2 is 50

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

x+2x=75

The probability that the mean weight of the 17 fruits will be between 489 grams and 500 grams is approximately 0.0322 - 0.0322 = 0.0000 (rounded to four decimal places).

The probability that the mean weight of 17 randomly picked fruits falls between 489 grams and 500 grams can be calculated using the Central Limit Theorem.

The mean weight of the 17 fruits will follow a normal distribution with a mean equal to the population mean (494 grams) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (√17).

First, we calculate the z-scores for the lower and upper bounds:

Lower z-score:

z_lower = (489 - 494) / (8 / √17)

Upper z-score:

z_upper = (500 - 494) / (8 / √17)

Then, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability that the mean weight falls between 489 grams and 500 grams is equal to the difference between these two probabilities.

Let's calculate the probabilities:

z_lower = (489 - 494) / (8 / √17) ≈ -1.8409

z_upper = (500 - 494) / (8 / √17) ≈ 1.8409

Using a standard normal distribution table or a calculator, we find that the probability corresponding to z_lower is approximately 0.0322 and the probability corresponding to z_upper is also approximately 0.0322.

The problem presents a normal distribution of fruit weights, with a given mean of 494 grams and a standard deviation of 8 grams. When we randomly select a sample of 17 fruits, the mean weight of this sample will also follow a normal distribution. According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

In this case, since the range is relatively narrow and the sample size is moderate, the probability of the mean weight falling between 489 grams and 500 grams is quite low, approximately 0.0000.

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