Algebra 2: Finding Values of Product and Quotient Functions

Answer:

67°F

Step-by-step explanation:

-4-63 = - 67°F

Therefore temperature difference=67

Answer:

I got 7.0 try that.

Answer:

the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Step-by-step explanation:

From the given information, let the number that I'm thinking of to be p

p is > 100

p  is < 200

and p = 9 (mod 17)

This implies that 17 ÷ p -9

p - 9 = 17q

here;

q is an integer

p = 9 + 17q

However,

100 < p < 200

= 100 < 9+17q < 200

= 100 - 9 < 17q < 200 -9

= 91 < 17q < 191

Dividing both sides by 17; we have:

= [tex]\dfrac{91}{17}< q < \dfrac{191}{17}[/tex]

= 5.45 < q < 11.24

thus the possible values of q are between 6,7,8,9,10 and 11

The possible values of p can now be:

p = 9 +17(q)

p = 9+17(6), 9+17(7), 9+17(8), 9+17(9), 9+17(10), 9+17(11)

p = 111, 128, 145, 162, 179, 196

Therefore, the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Answer:

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

Step-by-step explanation:

If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:

[tex]\frac{x^2}{c^2}=\frac{y^2}{a^2}+\frac{z^2}{b^2}[/tex]

Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:

x² = (6y)²

x² = 36y²

The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:

x² = 36y² + 36z²

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

[tex](\frac{x}{6})^2=y^2+z^2[/tex]

This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone

Answer:

What is the question? Is this a true or false question ?

Step-by-step explanation:

The percentage of surveys done if, A political scientist surveys 38 of the current 153 representatives in a state's congress is 25%.

As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The number of surveys done = 38,

The representatives in a state's congress = 153,

Calculate the percentage as shown below,

Percentage of survey =  The number of surveys done / total representative × 100,

Percentage of survey = 38 / 153 ×100

Percentage of survey = 0.25 × 100

Percentage of survey = 25 %

To know more about percentages:

https://brainly.com/question/26080842

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The complete question is: A political scientist surveys 38 of the current 153 representatives in a state's congress. Calculate the percentage of the survey.

Answer:

X,Z,Y

Step-by-step explanation:

9π=28.27

√3/2=0.866

z=27.5

remember all are in cm^2 so no conversion is needed

Answer:

Circles X, Z, Y.

Answer: Yes, because the graphic is a straight line that passes the through the origin.

Step-by-step explanation: Ik the answer because I have the answer key.

Answer:

2 hrs.

Step-by-step explanation:

11:50am ----> 12:50pm (1 hr.)

                                      +

12:50pm ---> 1:50pm    (1 hr.)

                                         = 2 hrs

Answer:

Area in acres = 1.322 acre (Approx)

Step-by-step explanation:

Given:

Length of field = 120 yards

Width of field = 53.333 yards

Finds:

Area in acres

Computation:

1 acre = 4840 square yard

Area = 120 × 53.333

Area = 6,399.96 yard² = 6,400 yard²

Area in acres = 6,400 yard² / 4840

Area in acres = 1.322 acre (Approx)

Answer: x = 7

Step-by-step explanation:

Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.

Then, m∠TUV  = m∠ TUW + m ∠ WUV               (i)

Given,  m∠TUV  = (9x + 1) , m∠ TUW =  (7x-9) and m ∠ WUV = (5x - 11)

Substitute these values in (i), we get

[tex]9x+1=7x-9+5x-11\\\\\Rightarrow\ 9x+1= 7x+5x-9-11\\\\\Rightarrow\ 9x+1=12x-20\\\\\Rightarrow\ 12x-9x= 1+20\\\\\Rightarrow\ 3x= 21\\\\\Rightarrow\ x=\dfrac{21}{3}\\\\\Rightarrow\ x=7[/tex]

Hence, the value of x = 7.

Answer:

x=7

Step-by-step explanation:

Answer:(2,5)

Step-by-step explanation:

Answer:

Approximatly 12.65

Step-by-step explanation:

You would use the pythagorean Theoram for this.

[tex]a^{2}+6^{2}=14^{2}[/tex]

[tex]a^{2}+36=196[/tex]

Subtract 36 from both sides:

[tex]a^{2}=160[/tex]

Square 160 to remove the exponent on "a":

[tex]a=\sqrt{160}[/tex]

[tex]a≈ 12.65[/tex]

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The base of 14​ feet ladder is 6 feet from a building. Then the length of the hypotenuse is 14 feet and the base is 6 feet. Then the height of the building will be given by the Pythagoras theorem.

If the ladder reaches the flat​ roof, then the height of the building will be

H² = P² + B²

14² = P² + 6²

196 = P² + 36

P² = 196 - 36

P² = 160

P = 12.65 feet

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

More about the right-angle triangle link is given below.

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Answer:

b

Step-by-step explanation:

he makes 80 dollars for a normal shift

20 dollars for every phone he sells 20m

and e is the total amount

e=20m+80

Answer:

34

Step-by-step explanation

Answer:

Step-by-step explanation:

Arrange the stones into 3groups of 3and place one group on one side of the first balance scale and another group on the other side.

If both sides weigh the same, then she knows that the (heavier) jewel must be in the third group of three. However, if one side is heavier than the other, then she knows that the jewel is one of the three that weighed more. In either case, after only one weighing, Alley is able to identify a group of only three stones among which is the Rama Nujan.

Then take 2 of the 3 stones and place one on each side of the second scale. If one weighs more than the other, then she knows that this stone is the one containing the jewel. If they both weigh the same, then she knows that the third stone must contain the jewel.

A Meanie Genie.

An archeological dig was performed by a team of researchers near the highlands of the Tibet and alley found an ancient oil lamp. She rubbed the lamp and saw a huge puff of magenta smoke coming from it. Later in the genie appeared. She gave him a balance scale and nine identical stones.

Hence answer is the third stone contains jew.

Learn more about the Meanie Genie.

brainly.com/question/12420511.

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. [tex]2x-4y=12[/tex]

[tex]-3x+6y=-15[/tex]

b. [tex]2x-4y=12[/tex]

[tex]-5x+3y=10[/tex]

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]

1. One solution:

There will be one solution to the system of equations,  If we have:

[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]

2. Infinitely Many Solutions: (Identical lines in the system)

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}[/tex]

3. No Solution:(Parallel lines)

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]

Now, let us discuss the system of equations one by one:

a. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]

[tex]-3x+6y=-15[/tex] OR [tex]-3x+6y+15=0[/tex]

[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15[/tex]

Here, the ratio:

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]

Therefore, no solution i.e. parallel lines.

b. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]

[tex]-5x+3y=10[/tex] OR [tex]-5x+3y-10=0[/tex]

[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10[/tex]

[tex]\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}[/tex]

[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

Answer:

3/16

Step-by-step explanation:

1/3(1-1/4)^2

1/3(3/4)^2

1/3(9/16)

3/16

Answer:

[tex]\huge \boxed{\frac{3 }{16}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{3} (1-\frac{1}{4} )^2[/tex]

Solving for brackets:

[tex]\displaystyle \frac{1}{3} (\frac{4}{4} -\frac{1}{4} )^2[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{3}{4} )^2[/tex]

Squaring the fraction:

[tex]\displaystyle \frac{1}{3} (\frac{3^2 }{4^2 } )[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{9 }{16} )[/tex]

Multiplying the fractions:

[tex]\displaystyle \frac{1 \times 9 }{3 \times 16}[/tex]

[tex]\displaystyle \frac{9 }{48}[/tex]

Simplifying the fraction:

[tex]\displaystyle \frac{3 }{16}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

move the decimal to the end and add a zero to 814 i think

Step-by-step explanation:

Answer:

         x=3

        x=2

Answer:

x=3

2(2x-3)=6

5x - (3x-1)=7

5x-2x-4=5

 x=2

5(x+3)=25

4x-(2x+1)=3

x+2x+3=9

Answer:

x = 12

Step-by-step explanation:

Given that AB = 2, AD = x, BC = 2, CD = -16 + 2x, since A, B, C, D are said to be collinear, therefore:

AB + BC + CD = AD

2 + 2 + (-16 + 2x) = x

Use this equation to solve for x

2 + 2 - 16 + 2x = x

-12 + 2x = x

Subtract 2x from both sides

-12 + 2x - 2x = x - 2x

-12 = -x

Divide both sides by -1

[tex] \frac{-12}{-1} = \frac{-x}{-1} [/tex]

12 = x (negative cancels negative)

x = 12

Answer:

157

23

157

23

157

23

157

Step-by-step explanation:

a straight line is 180 degrees. angle 8 is 23 degrees. we want to know the rest of the angles measures. 180-23=157. angles directly across the vertex are the same measure. and since the lines are parallel 2,4,6,and 8 all have the same measure and 1,3,5,and 7 have the same measure.

look at attached photo

Answer:

9,200,711 rounded would be 9,200,710

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

answer 2. min= 30.5

max=31.5

answer 3. 5 s.f

answer 4. False

Answer:not an answer but do you go to Cwcs because I go there too

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given  both expression

2x+2  and

2x+2=10

the difference inlvosves basically the subtraction of one expression from the other expression.

now before we perform the subtraction operation, let us do some preprocessing.

let us equate the first  and second expression to zero

2x+2=0 and

2x+2-10=0

we can now subtract

(2x+2)-(2x+2-10)=0

open bracket

2x+2-2x-2+10=0

collect like terms

2x-2x+2-2+10=0

0+0+10=0

the answer is 10

Answer:

even

Step-by-step explanation:

[tex]25 \times \frac{3}{5} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{3}{1} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{1}{1} \times \frac{1}{4} = [/tex]

[tex]5 \times 1 \times \frac{1}{4} = [/tex]

[tex]5 \times \frac{1}{4} = [/tex]

[tex] \frac{5}{4} = 1 \frac{1}{4} [/tex]

Thank you.

Answer:

1.25

Step-by-step explanation:

We can start by multiplying the top part of the fraction. On the top, we have 25, 3, and 1. 25x3x1=75

Now we do the bottom. We have 5 and 12. 5x12=60

Now that we have both parts, we put it back into the fraction.

75/60

75/60=1.25

Answer:

88%

Step-by-step explanation:

There are 67 questions on an exam

You miss 8 questions

The first step is to calculate the number of correct questions

= 67-8

= 59

Therefore the grade can be calculated as follows

= 59/67 × 100

= 0.880 × 100

= 88%

Hence the grade is 88%

Answer:

100% 50% 5% RS2000 Rs 3000