AP TEST QUESTION 1
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Answers

Answer 1

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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Related Questions

Find the distance between the points given.

(-3, 2) and (9, -3)​

Answers

Answer:

Distance = 13

Step-by-step explanation:

Using the distance formula, plug in the two points:

d = sqrt(9-(-3))^2+(-3-2)^2

d = sqrt(12)^2+(-5)^2

d = sqrt144+25

d = sqrt169

d = 13

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Answers

Answer:

[tex] 1,334.5 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]

A grocer wishes to make 50 kilos of tea by mixing two grades of tea worth rs.16 and rs.18 per kilo respectively .if he wishes to sell the mixed tea at rs.16.80 per kilo ,how many kilos of each grade of tea should he mix?

Answers

Answer:

11.1 and 38.9

Step-by-step explanation:

16x + 18 (1-x) = 16.89

2x = 1.11

x = 0.222

0.222 x 50 = 11.1

50-11.1 = 38.9

Which of the following statements are true about the lengths of the trails? Check all that apply.

Answers

Where are the options?

Answer:

its 1 and 3 and 5

Step-by-step explanation:

because i saisd so

Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.​

Answers

Answer: The two numbers are $x = 5$ and $y = 7.5$.

Step-by-step explanation:

Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:

$$2y = 3x + 15$$

$$\frac{1}{5}x + \frac{1}{9}y = 10$$

We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get

$$10y = 15x + 75$$

$$9x + y = 90$$

Subtracting these equations, we get

$$8y - 9x = 15$$

Multiplying this equation by 8, we get

$$64y - 72x = 120$$

Adding this equation to 5 times the first equation, we get

$$69y - 72x = 120 + 75$$

$$69y - 72x = 195$$

Dividing both sides by 3, we get

$$23y - 24x = 65$$

Subtracting this equation from 4 times the second equation, we get

$$96y - 36x = 360 - 260$$

$$96y - 36x = 100$$

Dividing both sides by 60, we get

$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$

Substituting the expression for $y$ from the first equation, we get

$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$

This simplifies to

$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$

Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.

i need this please help me

Answers

Answer:

Congruent, Supplementary, Neither

Step-by-step explanation:

in the same order

please solution and answer a and b thanks you ​

Answers

Answer:

A) 2280 and length is 12mm and width is 190mm

B) 190, 12

Step-by-step explanation:

Area of 1 cylinder: 456

456*5= 2280

38*5=190

diameter:190mm

height:12mm

190*12= 2280


6) Create your own word
problem using the
format in the example
on the page above.

Answers

Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]

How do indices and Surds differ from one another?

Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.

What are the Surds rules?

These are the surds rules:

Rule 1: = √(r*s) = √r*√s.Rule 2: √(r/s) = √r/√s.Rule 3: r/√s = (r/√s) X (√s/√s)Rule 4: p√r ± q√r.Rule 5: r / (p+q√n)Rule 6: r / (p-q√n)

1) [tex](2z^3)^5=32^{15}[/tex]

2)  [tex]\sqrt[3]{1000*1000}=100[/tex]

3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]

4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]

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please help and thanks ​

Answers

Answer: Bottom left corner

Angle DEC and Angle DEH

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

Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

Simplify (write without absolute value sign): |x-3|, if x>5

Answers

Answer:

if x > 5 => x - 3 > 2 >0

=> x - 3 > 0

So |x - 3| = x - 3

Translate the following: "Four times a number n is equal to the difference between that number and 10"

Answers

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

What is the answer please help no links

Answers

Answer:

A: y = 9.5x + 22.5

Step-by-step explanation:

What is the volume of a cylinder with radius 5 feet and height 6 feet?

Answers

Answer:

150π ft³

Step-by-step explanation:

Volume is ,

=> V = πr²h

=> V = π × (5 ft)² × (6 ft)

=> V = 25 × 6 × π ft³

=> V = 150π ft³

Domain, and y intercept of function in image

Answers

24 hurry is that one in my but

During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario.

Answers

The expression that represents how much money Kate will collect

is y = 5x + 2x.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.

Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.

Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.

y = 7x.

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Answers

Answer: D

Step-by-step explanation:

Substitute values for x until they all work.

A. y = 2 x 2 + 5 = 9 fail

B. y = 2 x 2 - 6 = -2 fail

C. y = -2 x 2 - 5 = -9 fail

D. y = -0.5 x 2 - 5 = -6 ok

y = -0.5 x 5 - 5 = -7.5 ok

y = -0.5 x 6 - 5 = -8 ok

Simplify 3.5m(3m + 1.8) using the distributive property.

10.5m + 6.3m
10.5m + 1.8
10.5m2 + 6.3m
10.5m2 + 1.8

Answers

Answer:

3.5m(3m + 1.8)

10.5m^2+6.3m

Step-by-step explanation:

ate 1 4 A chef is writing a shopping list for a dinner party. She needs 6 ounces of meat for each guest. If there are 40 guests, how many pounds of meat does she need to buy?​

Answers

Answer:

1 guest is 6 ounces

40 guests is 240 ounces

240 ounces = 15 pounds of meat

A linear equations in two variables has infinitely many solutions true or false​

Answers

Answer:

the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions

Given that a square root of a number N is a value, that when multiplied by itself, results in N. What's the square root of 49? a. 9, b. 5, c. 7, d. 8

Answers

Answer:

Step-by-step explanation:

[tex]N^{2} =49[/tex]

To solve take the square root of 49.

[tex]\sqrt{49}[/tex] = 7

Option c which is 7

Can somebody help me? I need help please

Answers

By using concept of angle relationship, we get x equal to 27°.

What are angle relationships defined as?

We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.

∠BAF+∠EAF=180°

∠EAF=180° - 138°

∠EAF=42°

Since, ∠EAF and ∠BAC are vertically opposite angle,

Hence,

∠EAF =  ∠BAC =42°

Again,

∠EAD+∠DAC+BAC=180°

4x+30°+42°=180°

4x=180°-72°

4x=108°

x=27

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54% of 59.7 is what?

Answers

Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

The answer would be 32.238

The diagram represents two statements: p and q.
Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p​

Answers

Answer:

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

Step-by-step explanation:

The figure is as follows :

Given - The diagram represents two statements: p and q.

To find - Which represents regions A, B, and C?

A) p v q

B) p -> q

C) q ^ p

D) q -> p​

Solution -

From the figure, we can see that,

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

The truth table is as follows :

p         q        p ∧ q

T         T           T

T          F           F

F          T           F

F           F          F

13. Using the information in the table, write and solve an equation to find the number
of toppings when you would pay the same amount for Pizza A and Pizza B.
Pizza A
Pizza B
Cheese pizza Price per topping
$1.50
$1.00
$10
$12.50

Answers

On solving the question, 5 topping would pay the same amount for Pizza A and Pizza B,  the value of equation 0.50x=2.50=>   x=5

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

let x be the number of toppings,the total cost of a pizza is given by:

pizza cost+topping cost

for pizza a =10+1.50x

for pizza b=12.50+1.00x

we solve for when cost are same and for how many toppings

   10+1.50x=12.50+1.00x

   10+0.50x=12.50

   0.50x=2.50

        x=5

would pay the same amount for Pizza A and Pizza B. are 5 toppings,

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Solve the function. x³+ 2x² - 5x + 12 = 0 ​

Answers

Answer:

x= -4

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

A bag contains​ green, orange, and purple tennis balls. Corey shakes the​ bag, randomly selects a tennis​ ball, records the color in the table​ shown, and places the ball back into the bag. Corey repeats this process 40 times. Answer parts a and b. PLEASE HELP!!!

Answers

I believe 20 si i think that this is the answer

if molly needs to cross a river 16 feet wide how long does she have to walk

Answers

Molly has to walk for 16/x minutes where x is the speed of molly.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

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Johnny ran a race in 15 seconds, Malik ran the race in 4,92 seconds less
then Johnny, How long did it take Malik to run the race?

Answers

Answer:

10.08 seconds

Step-by-step explanation:

15-4.92=10.08


Which angles are adjacent to ZCED? Select all that apply.

Answers

Answer:

Angle BEC and DEA

Step-by-step explanation:

Adjacent = sharing a common side/vertex.

So angle BEC and DEA are adjacent to CED.

Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!

Answers

Given:

The scale factor between two circles is [tex]\dfrac{2x}{5y}[/tex].

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

[tex]\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2[/tex]

[tex]\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}[/tex]

[tex]\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}[/tex]

Therefore, the correct option is D.

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