Match the vocabulary word to its correct definition. 1. abscissa the variable representing the first elements of the ordered pairs in a function; the inputs 2. dependent variable the second number (or y value) of an ordered pair 3. independent variable the variable representing the second elements of the ordered pairs in a function; the outputs 4. ordinate the first number (or x value) of an ordered pair

Answer:

x=7.608696

Step-by-step explanation:

Simplify both sides of the equation.

262.5=10.5x+24x

262.5=(10.5x+24x)(Combine Like Terms)

262.5=34.5x

262.5=34.5x

Step 2: Flip the equation.

34.5x=262.5

Step 3: Divide both sides by 34.5.

34.5x

34.5

=

262.5

34.5

x=7.608696

Step-by-step explanation:

The number of students who jog and have one sibling who jogs is 416.

The total number of students who have one sibling who jogs is 1823 + 416 = 2239.

So the probability that a student jogs if they have one sibling who jogs is 416/2239 = 0.186.

The number of students who jog and have two siblings who jog is 400.

The total number of students who have two siblings who jog is 1380 + 400 = 1780.

So the probability that a student jogs if they have two siblings who jog is 400/1780 = 0.225.

Therefore, a student is more likely to jog if they have two siblings who jog than one sibling who jogs.

Answer:

use a calculator

Step-by-step explanation:

Answer:

x = 12 in ; Type in 12 in the box

Step-by-step explanation:

If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,

Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;

Area of Triangle = 1/2 * base * height,

60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,

60 in^2 = 5 in * x in ⇒ divide either side by 5 in,

12 in = x in ⇒ divide either side by inches,

x = 12 inches,

Solution; x = 12 in

Answer:

4

Step-by-step explanation:

Whichever number appears the most in the list of numbers which in this is 4

Answer:

b. ab + c = d b = a + c/d b = a/(c - d) b = (d - c)/a

Step-by-step explanation:

[tex]55 . 42 = x . 33\\55 . 14 = 11 . x\\x = 5 . 14 = 70\\70 - 55 = 15[/tex]Answer:

Step-by-step explanation:

The additional men required to complete this work 9 days earlier will be 15.

In time and work, we need to calculate the time required to complete a unit of work and find work done in a described period of time. Its known the amount of work done by a person varies directly with the time taken by them to complete the work on time.

Given that work was done by 55 men in 42 days

55 men ⇔ 42 days

Rate of work by 1 man ⇔ 1/(55×42)

Rate of work by 1 man ⇔ 1/(2310)

Now by adding N number of people the work need to complete 9 days earlier than 33 days.

Rate of work by 1 man ⇔ 1/[(55+N)×33]

Since the rate of work by 1 man will be the same for both cases

1/(2310) = 1/[(55+N)×33]

N = 15 hence,15 men additional required to complete the work 9 days earlier.

For more information about work time

https://brainly.com/question/19382734

#SPJ2

Answer:

1200 cm^2

Step-by-step explanation:

There are four 10 cm by 25 cm sides; the total area of these sides is

4 (10 cm) (25 cm) = 1000 cm^2.

There are two ends; the total area of these is 2 (10 cm) (10 cm) = 200 cm^2.

Thus, the total surface area is 1000 cm^2 + 200 cm^2, or 1200 cm^2 (Answer A).

Answer:

Simplifying

(2j + 1) * 9 + -7j = 0

Reorder the terms:

(1 + 2j) * 9 + -7j = 0

Reorder the terms for easier multiplication:

9(1 + 2j) + -7j = 0

(1 * 9 + 2j * 9) + -7j = 0

(9 + 18j) + -7j = 0

Combine like terms: 18j + -7j = 11j

9 + 11j = 0

Solving

9 + 11j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 11j = 0 + -9

Combine like terms: 9 + -9 = 0

0 + 11j = 0 + -9

11j = 0 + -9

Combine like terms: 0 + -9 = -9

11j = -9

Divide each side by '11'.

j = -0.8181818182

Simplifying

j = -0.8181818182

Answer:

11j + 9

Step-by-step explanation:

(2j + 1)9 - 7j

or

9(2j + 1) - 7j

18j + 9 - 7j

18j - 7j + 9

11j + 9

Answer:

As shown in picture,

EB is perpendicular with AC

DC is perpendicular with AC

=> EB // DC

Applying Thales theorem:

BC/AC = ED/AD

=> AD = ED x AC/BC = 72 x 88/55 = 115.2

=> AE = AD - ED = 115.2 - 72 = 43.2

Hope this helps!

:)

Answer:

0.00456

Step-by-step explanation:

Given: Percentage of free throws = 74%

Required:  What is the probability of Glen Davis making none of his next 4 free throw attempts?

Since, there is a free throw 74% of the time, thus, the time he misses = 26% of the time.

To miss four in a row, it is requires to miss the first throw, the second throw, the third throw and also the fourth throw.

Thus, the probabilities of Gien missing will be multiplied.

By using the probability formula -

P ( MMMM) = 26/100 × 26/100 × 26/100 × 26/100

                   = 456976/ 100000000

                   = 0.00456

Therefore, the probability that he will have next 4 free attempts is 0.00456.

Answer: 0.046

Step-by-step explanation:

From the question,

orange jelly beans= 7

Cherry jelly beans =9

Lemon jelly beans = 3

Licorice jelly beans = 15

Blueberry jelly beans = 6

Total jelly beans = 40

The probability of choosing the first cherry jelly beans will be = 9/40

After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39

The probability of choosing two cherry jelly beans in a row will be:

= 9/40 × 8/39

= 72/1560

= 0.046

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)[/tex]

By substituting values for x1,x2,y1 and y2; the gradient becomes

[tex]m = \frac{8 - 2}{5 - 1}[/tex]

[tex]m = \frac{6}{4}[/tex]

[tex]m = \frac{3}{2}[/tex]

[tex]m = 1.50[/tex]

Hence, the constant of variation is $1.50

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

To prove ΔXYZ ~ ΔMNO using the property of SSS, we need to know that All corresponding sides of these triangles are proportional.

Similarly, If we know the length of side XZ then addition information we need to know that angle O is congruent to angle Z and length of sides YZ, MO and NO to prove ΔXYZ ~ ΔMNO by SAS property.

Angle O is the contained angle between the sides MO and NO.

Answer:

1. MN = 6 and XZ = 17.5

2. angle Z

Step-by-step explanation:

Sorry if this is a late answer but I hope this helps :)

Answer:

50.27 cm

Step-by-step explanation:

Circumference=πd=π·16≈50.26548 cm

Answer:

50.27cm

Step-by-step explanation:

[tex]C=2\pi r=2*\pi *8=50.26548\\=50.27cm\\[/tex]

[tex]x+50+x=180\\2x+50=180\\2x=180-50\\2x=130\\x=65[/tex]

Answer:

a²-6=b

Step-by-step explanation:

[tex]a=\sqrt{b+6}[/tex]

taking square  on both sides

a²=(√b+6)²

square root will be cancelled by square

a²=b+6

a²-6=b

Answer:

[tex]b= a^{2} -6[/tex]

Step-by-step explanation:

[tex]a = \sqrt{b+6}[/tex]

→ First square both sides to get rid of the root

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

→ Minus 6 from both sides to isolate b

[tex]a^{2} -6=b[/tex]

→ Or

[tex]b= a^{2} -6[/tex]

Answer:

320cm³ (option C)

Step-by-step explanation:

The complete image of the question can be found in:

https://brainly.com/question/16820683

Volume of bird house = volume of a cuboid + volume of a triangular prism

Volume of a cuboid = length × breadth × height

= 8cm × 5cm × 6cm = 240cm³

Volume of triangular prism = ½ base ×height ×length

= ½ × 8×4×5 = 80cm³

Volume of bird house = 240+80

Volume of bird house = 320cm³

Amount of birdseed that will it take to fill the birdhouse = Volume of bird house = 320cm³

Answer:

B.

Step-by-step explanation:

[tex]2\pi *5*9+2\pi* 5^2[/tex]

[tex]2*3.14*5*9+2*3.14*25=439.6[/tex]

Answer:

A' (3,1)

Step-by-step explanation:

You start with (-3,5)

Translation Down 4: (-3,1), just subtract 4 from the y-coordinate

Reflection over the y-axis: (3,1), multiply -1 to the x-coordinate

Answer:

Frequency: 20

A.F: 650

Mean: 30

Step-by-step explanation:

Frequency and A.F were just sums of the values mentioned for each

The mean:

Definition: the average of a data.

Formula: sum of numbers divided by the number of numbers

Answer: (28 x 2 + 29 x 4+ 30 x 8 + 31 x 4+ 32 x 2) divided by 20 = 30

Hope this helps

Answer:

(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.

Step-by-step explanation:

In Triangle MNO

[tex]\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]

In Triangle RST

[tex]\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]

Therefore:

Triangle NMO is congruent to triangle TSR; and

Triangle NMO is congruent to triangle TRS

This is because

[tex]\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .[/tex]

The correct option is A.

Answer:

A

Step-by-step explanation:

Just did the test.

Answer:

3 cats

Step-by-step explanation:

You have 2 cats

You buy 1 more

You have 3 cats

Answer:

you have none you, Gurman have put an end to them with your ignorance.

Step-by-step explanation:

2 + 1=3 + Gurman = 0 cats

Answer:

I believe that your answer is a

Step-by-step explanation:

I remember that the exponent would be multiplied by both sides.

Answer: A

Step-by-step explanation:

the answer is b because if you

multiply it inside and get the exponents the answer

so the answer is A

Hope this helps :)

Answer:

4km

Step-by-step explanation:

2x2=4km

Answer:

Θ ≈ 22.6°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex] , thus

Θ = [tex]cos^{-1}[/tex] ([tex]\frac{12}{13}[/tex] ) ≈ 22.6° ( to the nearest tenth )

Answer:

all work shown and pictured

Step-by-step explanation:

(i) Use law of cosine:

c² = a² + b² − 2ab cos C

c² = (√3 − 1)² + (√3 + 1)² − 2(√3 − 1)(√3 + 1) cos 60°

c² = 3 − 2√3 + 1 + 3 + 2√3 + 1 − 2(3 − 1) (½)

c² = 6

c = √6

(ii) Use law of sines:

a / sin A = c / sin C

(√3 − 1) / sin A = √6 / (½√3)

(√3 − 1) / sin A = 2√2

½ (√3 − 1) = √2 sin A

½ (√6 − √2) = 2 sin A

¼ (√6 − √2) = sin A

Use a calculator:

A = 15°

(iii) Use SAS area:

A = ½ ab sin C

A = ½ (√3 − 1) (√3 + 1) sin 60°

A = ½ (3 − 1) (½√3)

A = ½√3

Answer: 4.2

Step-by-step explanation:

Everytime the x goes up 1, the height goes up 4.2

Answer:

The slope is 4.2 cm per week

Step-by-step explanation:

Take the difference in time and divide by the difference in time

m = (y2-y1)/(x2-x1)

   = (20.4-16.2)/(2-1)

  =4.2/1

The slope is 4.2 cm per week