What is the graph for the above relationship?



A. 1st Graph

B. 2nd Graph

C. 3rd Graph

D. 4th Graph

A∩B = {2, 4}

Step-by-step explanation:

⇒ A∩B = {2, 4}

Answer:

The scale factor is 0.25.

Step-by-step explanation:

We have two side lengths.

First figure: A diamond with a side length of 5.8

This is the object length.

Second figure: Then a smaller diamond with a side length of 1.45

This is the image length.

The scale factor is

[tex]k = \frac{image \: length}{object \: length} [/tex]

[tex]k = \frac{1.45}{5.8} [/tex]

[tex]k = 0.25[/tex]

0.25 hope this helps

The expression -1 × 2 × -3 × 4 × -5 has a negative value ⇒ C

Step-by-step explanation:

Let us revise the products of negative and positive

A. -1 × -2

∵ There are two negative signs

∵ 2 is an even number

∴ -1 × -2 has a positive value

B. 1 × -2 × -3 × -4 × -5

∵ There are four negative signs (-2 , -3 , -4 , -5)

∵ 4 is an even number

∴ 1 × -2 × -3 × -4 × -5 has a positive value

C. -1 × 2 × -3 × 4 × -5

∵ There are three negative signs (-1 , -3 , -5)

∵ 3 is an odd number

∴ -1 × 2 × -3 × 4 × -5 has a negative value

D. 1 × -2 × 3 × -4 × 5

∵ There are two negative signs (-2 , -4)

∵ 2 is an even number

∴ 1 × -2 × 3 × -4 × 5 has a positive value

The expression -1 × 2 × -3 × 4 × -5 has a negative value

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Answer:

The sum of their ages in 5 years will be 97 years

Step-by-step explanation:

The correct question is

Twelve years ago, Lester was twice as old as Hester. Lester is 21 years older than Hester. What will the sum of their ages be in 5 years?

Let

x ----> Lester's age

y ----> Hester's age

we know that

Twelve years ago, Lester was twice as old as Hester

so

[tex]x-12=2(y-12)[/tex]

[tex]x-12=2y-24[/tex]

[tex]x-2y=-12[/tex] ----> equation A

Lester is 21 years older than Hester

so

[tex]x=y+21[/tex] ----> equation B

substitute equation B in equation A

[tex]y+21-2y=-12[/tex]

solve for y

[tex]-y=-12-21\\-y=-33\\y=33[/tex]

Find the value of x

[tex]x=33+21=54[/tex]

therefore

Lester's age is 54 years and Hester's age is 33 years

The sum of their ages in 5 years will be

[tex](54+5)+(33+5)=97\ years[/tex]

To find the value of 2x + 1, we first solved for x in the equation 4x + 2 = 4, which yielded x = 1/2. Substituting this value into 2x + 1, the final answer is 2.

The question seeks a solution for the value of 2x + 1 given that 4x + 2 = 4. We start by solving for x in the initial equation. Subtract 2 from both sides to get 4x = 4 - 2, which simplifies to 4x = 2. Dividing both sides by 4 yields x = 2 / 4, which simplifies to x = 1/2. Now that we have the value of x, we substitute it into the expression 2x + 1. So, 2(1/2) + 1 equals 1 + 1, which equals 2.

To find the value of 2x + 1, we need to determine the value of x first. Given that 4x + 2 = 4, we can start by subtracting 2 from both sides to isolate the 4x term. This gives us 4x = 2. Next, we divide both sides by 4 to solve for x. So x = 2/4 = 1/2.

Now that we know the value of x, we can substitute it into the expression 2x + 1. Plugging in x = 1/2, we get 2(1/2) + 1 = 1 + 1 = 2.

Therefore, the value of 2x + 1 is 2.

Answer:

72/97

Step-by-step explanation:

Sinus is calculated by dividing opposite by hypotenuse so the answer is 72/97

Answer:

72/97

Step-by-step explanation:

Sin(X) = opposite/hypotenuse

Sin(X) = 72/97

To solve this, you need to isolate/get the variable "x" by itself in the equation:

-3(x + 5) = -9      Distribute/multiply -3 into (x + 5)

(-3)x + (-3)5 = -9

-3x - 15 = -9     Add 15 on both sides

-3x - 15 + 15 = -9 + 15

-3x = 6      Divide -3 on both sides to get "x" by itself

[tex]\frac{-3x}{-3} =\frac{6}{-3}[/tex]

x = -2

I just realized I took unnecessary steps....you could've just divided -3 then subtracted 5

-3(x + 5) = -9       Divide -3 on both sides [two negative signs cancel each other out and become positive]

x + 5 = 3       Subtract 5

x = -2

Answer:

The statement that is best supported by the dot-plot is iii)

The mode of the number of miles Amanda skated in July is equal to the

mode of  the number of miles skated in August.

This is a true statement.

The mode of the number of miles Amanda skated in July is equal to 1.

The mode of the number of miles Amanda skated in August is equal.

Step-by-step explanation:

i) The range of the number of miles Amanda skated in August is less than the  

    range  of the number of miles she skated in July.

   This is a true statement.

   the range of the number of miles Amanda skated in August is 1 to 3

   the range of the number of miles Amanda skated in July is 1 to 4

ii)  The distribution of data is approximately symmetrical in both sets of data.

  This is NOT a true statement.

  the distribution of data of the number of miles Amanda skated in August

  is not symmetrical.

  the distribution of data of the number of miles Amanda skated in August

   is approximately symmetrical.

iii) The mode of the number of miles Amanda skated in July is equal to the

   mode of  the number of miles skated in August.

   This is a true statement.

  The mode of the number of miles Amanda skated in July is equal to 1.

    The mode of the number of miles Amanda skated in August is equal.

Answer:9

Step-by-step explanation:

Remember, 9•9=81, that’s how you know what the square root is.

Answer:

9

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2%=0.02

0.02*300=6

Answer: -17 and 3

Step-by-step explanation:

First try and find numbers that are divisible by -51 and see if they work. Then you'll find -17, leading to you multiplying -17 with 3, then you get -51, and if you add them, then you get -14.

Ramesh is not correct because as the exponents decrease, the previous value is divided by 7 .

Explanation:

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

Exponents are superscript numerals that let you know how many times you should multiply a number by itself. Some real world applications include understanding scientific scales like the pH scale or the Richter scale, using scientific notation to write very large or very small numbers and taking measurements.

Answer:

D. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = StartFraction 1 Over 16,807 EndFractionStep-by-step explanation:

EDGE 2020

a) Consecutive sides must be congruent, for SAND to be in a rhombus

For the word "SAND" to form a rhombus, certain conditions must be met based on the properties of a rhombus:

a) Consecutive sides must be congruent: True. In a rhombus, all sides are congruent, so consecutive sides must also be congruent.

b) Diagonals do not bisect the angles: False. In a rhombus, the diagonals bisect the angles. This is a property of rhombuses.

c) All interior angles add up to 360: False. In a rhombus, all interior angles are equal, but their sum is not necessarily 360 degrees. However, the sum of all interior angles in any quadrilateral (including a rhombus) is indeed 360 degrees.

Therefore, the correct statement is:

a) Consecutive sides must be congruent

Answer:

205

Step-by-step explanation:

Were gonna start by writing an equation (121+184+x)/3=170 because were adding a 3rd value to the average and x is going to be our value that were looking for. If you solve that, you get 205. Hope this helps.

For Ben to have an average of at least 170 in his third game, he must bowl a score of 205.

To find out what Ben must bowl in his third game to have an average of at least 170, we can use the formula for average: average = total score/number of games.

In this case, Ben has played two games and wants to have an average of 170. So we can set up the equation: 170 = (121 + 184 + x) / 3, where x represents his score in the third game.

To solve for x, we can multiply both sides of the equation by 3 to get rid of the fraction: 510 = 121 + 184 + x.

Then, we can combine the numbers on the right side: 510 = 305 + x.

Finally, subtracting 305 from both sides gives us: 205 = x.

Therefore, Ben must bowl a score of 205 in his third game to have an average of at least 170.

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Answer:

Therefore reminder = 2802

Step-by-step explanation:

f(x)=x³+6x²-20x+450

x-12)x³+6x²-20x+450(x²+18x+196

      x³-12x²

    ____________________

          +18x²-20x+450

           18x²-216x

          _______________

                  196x +450

                  196x-2352

                 _____________

                            2802

Therefore reminder = 2802

Answer:

Below is the step-by-step explanation.

Step-by-step explanation:

To determine:

Construct a triangle ABC

Information Fetching and Information Steps:

From the given data,

Procedure:

Thus, ∆ [tex]ABC[/tex] will be a required triangle.

Keywords: triangle, perpendicular bisector, angle

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Answer:19/2

Step-by-step explanation:

19/2=9.5

Other are not in its very simplest form

Answer:

19/2

Step-by-step explanation:

The other answers are not in the simplest form!

Answer:

3 x 9, 1 x 27, 9 x 3

Step-by-step explanation:

The two numbers that multiply to -27 and add to 1 are 9 and -3.

To find two numbers that multiply to -27 and add to 1, we can use the method of factoring and algebraic manipulation.

Let the two numbers be x and y.

Step 1: Set up the equations based on the given conditions:

xy = -27 (the two numbers multiply to -27)

x + y = 1 (the two numbers add to 1)

Step 2: Solve one of the equations for one variable in terms of the other.

From the second equation, we can express y in terms of x:

y = 1 - x

Step 3: Substitute the value of y into the first equation:

x(1 - x) = -27

Step 4: Expand and rearrange the equation:

x - x^2 = -27

Step 5: Rewrite the equation in standard quadratic form:

x^2 - x - 27 = 0

Step 6: Factor the quadratic equation:

(x - 9)(x + 3) = 0

Step 7: Set each factor equal to zero and solve for x:

x - 9 = 0 --> x = 9

x + 3 = 0 --> x = -3

So, the two numbers are 9 and -3, as 9 * -3 = -27, and 9 + (-3) = 1.

In conclusion, the two numbers that multiply to -27 and add to 1 are 9 and -3. By setting up and solving the system of equations and factoring the quadratic equation, we obtained these two values that satisfy the given conditions.

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Answer: 3.5

Step-by-step explanation:

yes

Answer:

234 ft²

Step-by-step explanation:

Area of parallelogram =  base x height

in our case, base length = 26 feet  and height = 9 feet

hence,

Area of parallelogram =  26 x 9 = 234 ft²

Answer:

234 ft²

Step-by-step explanation:

I just finished the test and I got 100% correct.

Answer:

A) 3/4

Step-by-step explanation:

Given: Both circle A and circle B have a central angle measuring 50°.

           The area of circle A's sector is 36π cm2.

            The area of circle B's sector is 64π cm2.

We know, area of the circle= [tex]\pi r^{2}[/tex]

lets assume the radius of circle A be "[tex]r_1[/tex]" and radius of circle B be "[tex]r_2[/tex]"

As given, Area of circle A and B´s sector is 36π and 64π repectively.

Now, writing ratio of area of circle A and B, to find the ratio of radius.

⇒[tex]\frac{\pi r_1^{2} }{\pi r_2^{2} } = \frac{36\pi }{64\pi }[/tex]

Cancelling out the common factor

⇒ [tex]\frac{r_1^{2} }{r_2^{2} } = \frac{36 }{64}[/tex]

⇒ [tex](\frac{r_1 }{r_2} )^{2} = \frac{36 }{64}[/tex]

Taking square on both side.

Remember; √a²= a

⇒ [tex](\frac{r_1 }{r_2} ) =\sqrt{ \frac{36 }{64}}[/tex]

⇒ [tex](\frac{r_1 }{r_2} ) = \frac{6}{8}[/tex]

⇒[tex]\frac{r_1 }{r_2} = \frac{3}{4}[/tex]

Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.

Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)

Plug in:

D=sqrt((9-8)^2+(-1-2)^2)

D=sqrt(1^2+(-3)^2)

D=sqrt(1+9)

D=sqrt(10)

So the distance is about 3.16 units

Hope this helped!

Answer:

THE DIFFERENCE OF THE NUMBERS IS 6~ likely

THE SUM ON EACH DIE IS 5~ unlikely

THE NUMBER ON EACH DIE IS A WHOLE NUMBER~ Certain

THE NUMBER ON EACH DIE IS LESS THAN 6~ likely

THE SUM OF THE NUMBERS IS 14 OR GREATER~ impossible

The number of parakeet is 21.

Let us assume the families had parakeet only be X

A survey of 260 families show that:

The families had a dog and a cat only it means

= 34 - 8

= 26

The families had a dog only is

= 99 - (26 + 8 )

= 65

The families had a cat only is

= 76 - (26 + 8)

= 42

So,

X = 260 - ( 98 + 8 + 26 + 65 + 42 )

= 260 - 239

= 21

Therefore, the families had a parakeet only is 21.

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The question pertains to the analysis of survey data relating to pet ownership among a set of families. It requires understanding of data analysis in mathematics.

The question is about finding the total number of families that have each specified type of pet (dogs, cats, both dogs and cats, or a dog, a cat, and a parakeet). The given data from the survey states that among the 260 families:

Using this data, you can compute and analyze the number of families owning each type of pet or combination of pets. It's important to understand that some families may fall into multiple categories - for example, families with a dog and a parakeet would count both towards the 'dog' total and the 'dog, cat, and parakeet' total.

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