y(x) = a³ + cos(x) differentiate function using chain rule

For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.

For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

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Answer:

as shown on the screen shot

The gross income over the whole week upon working during the day and at night is; $449.04.

Since, the pay rates during the day and night according to the task content are; $10.05 per hour and $12.01 per hr respectively.

It then means that the total gross total income can be calculated as follows;

(10.05 × 16) + (12.01 × 24)

= 160.8 + 288.24

= $449.04.

Therefore, the gross income over the whole week upon working during the day and at night is; $449.04.

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For the graphed parabola we can see that the maximum is at (3, 2), then the x-value is x = 3.

For a function f(x), we define the maximum as a value y = f(x₀), such that:

f(x₀) ≥ f(x) for every value in the domain.

In the case of the graph is really easy to identify the maximum, in this case, it is in the vertex of the parabola.

We can see that the maximum is on the point (3, 2)

Then it is at x = 3, y = 2, from that, we can see that the x-value of the graphed function is x = 3.

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34.3 Km /h was her average velocity in km/h.

What is average velocity?

average velocity = Displacement / time taken

            V = d/ l

V = 10.3 Km/0.300m = 34.3Km

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Answer:

The correct pair matching each type of letter to its correct description would be as follows:

send it to favorably influence employers’ decision on hiring you - thank you letter

state how you meet the job requirements - cover letter

send 3-5 days after submitting your application or résumé - follow-up letter

express your desire to work for a particular company - letter of interest

A 'thank you' letter is a letter written to admit gratefulness for a favor that has been done.  It can also be written in anticipation of a favor to be done. Hence, writing it to a potential employer after an interview is a way of trying to influence the employer's decision on hiring you.

A cover letter, as it relates to job application, is a letter written to express how one meets the requirement for a job. In it, a job seeker would state their qualifications, skills, and experience as it relates to the job they are applying for.

A follow-up letter is usually written to follow up with a situation that one expects that a response should have been given or written just to further emphasize one's interest in something. Writing a follow-up letter after submitting an application for  a job is a way of reminding potential employers of one's desire to take up a job in their firm.

A letter of interest is written to show a desire to work in a particular organization or company irrespective of whether they have got a vacancy.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6x+25

Step-by-step explanation:

6 times a number. Let x represent that number.

6x

It also says the to add 25 to the expression.

Add 25 to 6x.

6x+25

Hope this helps!

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Answer: -6

Step-by-step explanation:

-4(1)-2=-6

Answer:

f(1) = -6

Step-by-step explanation:

Hello!

Substitute 1 for x in the equation.

f(1) is -6.

Answer:

BC = 12

Step-by-step explanation:

from the diagram

AB + BC = AC , that is

18 + BC = 30 ( subtract 18 from both sides )

BC = 12

Answer:

The least common multiple of 12, 27 and 30 is 540.

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HHe will owe the IRS and the amount is $4603.03

In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.

Elsner has determined that his tax is $23,945.22

We need to find whether he get a refund, or he owes the IRS.

From given information,

Employer withheld in federal taxes last year = $19,342.19

His tax amount is $23,945.22

So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19

So, the additional taxes would be,

$23,945.22 - $19,342.19 = $4603.03

This difference represent the additional taxes owed.

Therefore, he will owe the IRS and the amount is $4603.03

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Answer:

∠ N = 10° , arc RS = 134°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(5)

∠ N is an inscribed angle and we require arc LM

the measure of the arcs in a circle = 360°

note LN is the diameter so arc LN = 180°

Then

LM + MN + LN = 360°

LM + 160° + 180° = 360°

LM + 340° = 360° ( subtract 340° from both sides )

LM = 20°

then

∠ N = [tex]\frac{1}{2}[/tex] LM = [tex]\frac{1}{2}[/tex] × 20° = 10°

(6)

∠ Q is an inscribed angle so its intercepted arc is twice its measure

arc RS = 2 × 67° = 134°

Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. [tex]\frac{13 * 4}{25 * 4}[/tex]

step 3: we get [tex]\frac{52}{100}[/tex]

step 4: now we can easily write the decimal fraction. ie. 0.52

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Answer:

Quotient = 0; Remainder = 16

Step-by-step explanation:

Answer:

[tex]-\frac{6x^4y^3}{z^7}[/tex]

Step-by-step explanation:

[tex]=-6x^4y^3\frac{1}{z^7}[/tex] <- Apply the exponent rule.
[tex]=-\frac{6x^4y^3\cdot \:1}{z^7}[/tex] <- Apply the fraction rule.

[tex]=-\frac{6x^4y^3}{z^7}[/tex]

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

where; c is the number of cans of soup and f is the number of frozen dinners.

Let us denote c as the number of cans of soup and f is the number of frozen dinners.

The total number of items is 13 and so, we can write;

c + f = 13

The total amount of sodium is 4400 mg.  Each can of soup has 200 mg, and each frozen dinner has 650 mg.

200c + 650f = 4400

We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

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Answer:

Step-by-step explanation:

11970658976

Answer:

Step-by-step explanation:

4 rides

Answer:

4 rides is the answer to this question

Answer:

Step-by-step explanation:

Answer:

13/21

Step-by-step explanation:

Solving steps

13/18 × 6/7

Simplify the expression

13/3 × 1/7

Multiply

Solution:

13/21

Alternative Form

0.619047

The answer in simplest form 13/18 x 6/7 = 13/21

To find the answer in simplest form 13/18 x 6/7

Simplify this, multiple nominator to nominator and denominator to denominator

(13 × 6)/(18 × 7) = 78/126

Now, reduce the fraction divide by 6,

we get,  78/126 = 13/21

Therefore, the final answer is 13/21.

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Answer:

x = 4

Step-by-step explanation:

4x + 2(x + 6) = 36

4x + 2x + 12 = 36

6x  = 36 - 12

6x = 24

x = 24

      6

x = 4

Answer:  I will really try to get answers just wait

Step-by-step explanation:

Answer: 10. (2,4)  11. (4,9)  13. (2,-2)  14. (1,2)

Step-by-step explanation:

Just plugged em into desmos & double checked

Answer:  11. (4,0) 13. (2,-2)

Step-by-step explanation:

11.

[tex]\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7[/tex]

x | 0 | 4 |

y | 7 | 9 |

[tex]\displaystyle\\y=\frac{3}{2}x+3\\[/tex]

x | 0 | 2 |

y | 3 | 6 |

13.

[tex]\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4[/tex]

x |  0 | 4 |

y | -4 | 0 |

[tex]y=-x[/tex]

x | 0 |  4 |

y | 0 | -4 |

Answer:

14

Step-by-step explanation:

g(3)=(3)+3

g(3)=6

f(3)=-(3)-5

f(3)=-8

6-(-8)=14

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

Explanation:

We have these points

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.

In a standard normal distribution the probability of z being less than or equal zero is 0.5.

The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.

Some key features regarding the standard normal distribution are-

Now, as per the given question;

The mean of a standard normal distribution is 0.

Because this distribution is symmetric, the median is also equal to 0.

So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5

Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.

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1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

3ab

Step-by-step explanation:

Triple means multiply by 3.

The product of ab is simply ab.

Answer: 3ab

The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

According to the given question.

We have a linear equation in two variables 2r - 2p = n.

Here we have to solve the given linear equation 2r - 2p = n in two variables for p.

So, the solution of the equation 2r - 2p = n for p is given by

2r - 2p  = n

⇒ 2(r - p) = n    (taking 2 as a common)

⇒ r - p = n/2     (dividing both the sides by 2)

⇒ r - n/2 - p = 0     (subtracting n/2 from both the sides)

⇒ r - n/2 = p            (adding p both the sides)

⇒ p = r -n/2

Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

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As per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.

As given,

Let x be the total number of yards in the beginning

First down they lost 5 yards, second 6 yd and third 8 yd.

Required equation,

x-5-6-8

= x-19

Negative sign represent the lost of 19 yads.

Therefore, as per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.

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There is no such number that has the result is the same number written in base 7 and base 10.

Decimal and Octal numbers:

Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols − 0, 1, 2, 3, 4, 5, 6, and 7.

Given,

When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7.

Here we need to find all such numbers.

Let abc be the starting number, where the catenated letters represent digits, and not factors like in the product

=> a x b x c

And each of a,b, and c can be elements of the list,

=> {1,2,3,4,5,6,7,8,9,0}

Except a≠0.

Since abc is a base-10 numeral, we can also write it as

=> 10²a + 10¹b + 10⁰c

Which can be expanded as,

=> 100a + 10b + c ----------------------(1)

Moving the last digits to the first slot makes the new number,

=> 100c + 10a + b------------------------(2)

So, here the value c≠0.

We know that, the digits in the base-10 numeral cab are identical to those of the base-7 numeral that is written as cab₇.

In the equation form it is equal to,

=> 7²c + 7¹a + 7⁰b

=> 49c + 7a + b ---------------------(3)

but since we're working in base 7 now, the digits a,b, and c cannot exceed 6.

Now, we want to solve for a, b, and c such that

By equalizing the equations 2 and 3,

=> 100c + 10a + b = 49c + 7a + b

=> 100c + 10a + b - 49c - 7a - b

=> (100 - 49)c + (10 - 7)a

=> 51c + 3a

=> 3 (17c + a)

Both a and c must be positive, but this equation has solution,

=> a = -17c

So there are no positive integers solutions, and hence no such number.

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