Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25

The 210 angles in the standard position are shown in figure (A) option (A) is correct.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that:

The measure of the angle:

= 210 degrees

The reference angle can be defined as the angle formed between the terminal side and the x-axis, known as the reference angle.

The angle between the x-axis and the y-axis is 90 degrees.

The angle between the y-axis and the negative x-axis is 90 degrees.

The angle between the negative x-axis and the arrow shown in the coordinate plane is 30 degrees.

Thus, the 210 angles in the standard position shown in figure (A) option (A) is correct.

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Answer:

[tex]x=0\\y=2[/tex]

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

[tex]-x+3y=6\\x+y=2[/tex]

En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.

Al sumarlas tenemos que:

[tex]4y=8\\y=2[/tex]

Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.

[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]

Por lo tanto, x = 0 y y = 2

Answer: D

Step-by-step explanation:

If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.

If we use the rise-over-run formula for (0,-4) and (4,1) we would get:

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

Since the line is going upwards, the equation must be positive.

Therefore, the equation in slope-intercept form is y=5/4x-4.

Answer:

iv, ii, i, iii, vi, v

Step-by-step explanation:

First, it is better if you fix all of these into fractions:

2/3--> 0.6666

-4/5--> -0.8

7/4--> 1.75

-21/8--> -2.625

11/4--> 2.75

root 5--> 2.24...

Hope this helps!!

Answer:

p(x) = (x + 1) (x - 3) (x + 2)

Step-by-step explanation:

x³ - 7x - 6

(x+1) (x² - x - 6) found by doing long division

(x+1) ( x - 3) (x + 2) are the factors

The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are given the polynomial as;

x³ - 7x - 6

Then we found by doing long division;

(x+1) (x² - x - 6)

(x+1) ( x - 3) (x + 2)

These are the factors.

Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)

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Answer:

e =7.1

Step-by-step explanation:

[tex]Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1[/tex]

Answer:

Step-by-step explanation:

Discount =$7000-$4900

Discount% =

[tex] \frac{2100}{7000} \times 100 \\ = \frac{210000}{7000 } \\ = \frac{210}{7} = 30[/tex]

Answer:

108

Step-by-step explanation:

Answer:

Step-by-step explanation:

i.

[tex] \frac{1}{3} [/tex] part of work can be done in 6 days.

Days taken to complete the whole work:

= 6 * 3

= 18 days

ii. Whole work will be done in 18 days.

So, 1 day work = [tex] \frac{1}{18} [/tex]

iii. Work done in 9 days :

[tex] \frac{1}{18} \times 9 [/tex]

[tex] = \frac{1}{2} [/tex]

So, remaining work :

[tex]1 - \frac{1}{2} [/tex]

[tex] = \frac{1 \times 2 - 1}{2} [/tex]

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

[tex] = \frac{1}{2} [/tex] part of work

Hope this helps...

Good luck on your assignment..

Answer:

y= [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

Hello your question lacks the required options

A.)11.070 B.)2.592

C.)13.388 D.)15.033

answer : 15.033 (D)

Step-by-step explanation:

The given Data

Day of The Week        number of Absentees

Monday                                  12

Tuesday                                  9

Wednesday                             11

Thursday                                 10

Friday                                       9

Saturday                                   9

The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot

hence for the given options the critical value of chi-square is ≈ 15.03

Answer:

45

Step-by-step explanation:

There are 3 cones and 15 flavors

Multiply the number of cones by the number of flavors

3*15

45

There are 45 possible combinations

Answer:

4kg

Step-by-step explanation:

...../...../

2kg + half of its weight

so half of its weight = 2kg

so 2kg + 2kg= 4kg the weight of the fish

Answer:

The flight speed should be 84.79 miles per hour at angle of 22.92° Northeast

Step-by-step explanation:

The given information are;

The distance from Parrot Point Airport to Ivy Cliffs = 291 miles

The direction from Parrot Point Airport to Ivy Cliffs = 9.1° Northeast

The speed of the wind = 25 miles per hour

The direction of the wind = Southeast

The time for the journey = 3 hours

The component of the wind velocity are;

For Southeast direction which is an inclination of 45°

Speed of the wind = -25 × sin(45) + 25 × cos(45)

Without the wind, the velocity of flight will be V = Displacement/time, which gives;

V = 291/3 = 97 miles/hour = 97 mph

Let the required velocity of flying = X, we have;

X×sin(θ) + X×cos (θ)  -25× sin(45) + 25 × cos(45) = 97×sin(9.1) + 97×cos(9.1)

X×sin(θ) -25× sin(45) = 97×sin(9.1)

X×sin(θ) =  97×sin(9.1 )+25× sin(45 ) = 33.02

X×sin(θ) =  33.02

X×cos (θ) +  25 × cos(45) =  97×cos(9.1)

X×cos (θ) =  97×cos(9.1)-  25 × cos(45) = 78.1

X×cos (θ) =   78.1

∴X×sin(θ)/(X×cos (θ)) = tan(θ) = 33.02/78.1 = 0.423

tan⁻¹(0.423) = 22.918≈ 22.92°

X×sin(θ) =  33.02

X = 33.02/(sin(θ)) = 33.02/(sin(22.92°)) = 84.79 miles per hour

Therefore, the flight speed should be 84.79 miles per hour at angle of 22.92° Northeast.

Answer:

False

Step-by-step explanation:

[tex]y = x^2-3x+8[/tex]

Y-intercept is when x = 0

So, Putting x = 0 in the above equation

[tex]y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8[/tex]

So, y-intercept = 8

y-intercept = -3 is a false statement.

Answer:

[tex]\boxed{false}[/tex]

Step-by-step explanation:

The y-intercept is when the value of x is 0.

Let x = 0

y = 0² - 3(0) + 8

y = 0 - 0 + 8

y = 8

The y-intercept is 8.

Answer:

[tex]\boxed{D = 15.8\ units}[/tex]

Step-by-step explanation:

The coordinates are (0,9) and (-8,-4)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(-8-0)^2+(-4-9)^2}[/tex]

D = [tex]\sqrt{(-8)^2+(-13)^2}[/tex]

D = [tex]\sqrt{81+169}[/tex]

D = [tex]\sqrt{250}[/tex]

D = 15.8 units

Answer:

15.3

Step-by-step explanation:

The coordinates are (0,9) and (-8,-4)

Distance of two points formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Plug in the values.

[tex]D=\sqrt{(-8-0)^2+(-4-9)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-13)^2}[/tex]

[tex]D=\sqrt{64+169}[/tex]

[tex]D=\sqrt{250}[/tex]

[tex]D= 15.264338...[/tex]

[tex]D \approx 15.3[/tex]

Answer:

Step-by-step explanation:

by looking at the given image...

the shape ABCD is a parallelogram.

Required:

is to prove ∡A and ∡B are supplementary

and ∡C and ∡D are supplementary.

so, m∠A + m∠B = 180°

and m∠C + m∠D = 180°

the  Statement    

1. ABCD is a parallelogram                

the reason is..    

It is Given!

the  Statement  

2.m∠A=m∠C and m∠B=m∠D        

the reason is..

Definition of parallelogram.

the  Statement  

3.m∠A+m∠B+m∠C+m∠D=360°    

the reason is..

Definition of quadrilateral

the  Statement  

4. m∠A+m∠B+m∠A+m∠B=360°    

the reason is..

By substitution

⇒ 2( m∠A + m∠B ) = 360°

⇒ m∠A + m∠B = 180°

it is also similar  m∠C + m∠D = 180°

the  Statement  

5.∠A and ∠C are supplementary

the reason is..

by the definition of Supplementary   ∠ B and ∠D are supplementary

Hope it helps!

Answer:

see below

Step-by-step explanation:

by looking at the given image...

the shape ABCD is a parallelogram.

Required:

is to prove ∡A and ∡B are supplementary

and ∡C and ∡D are supplementary.

so, m∠A + m∠B = 180°

and m∠C + m∠D = 180°

the  Statement    

1. ABCD is a parallelogram                

the reason is..    

It is Given!

the  Statement  

2.m∠A=m∠C and m∠B=m∠D        

the reason is..

Definition of parallelogram.

the  Statement  

3.m∠A+m∠B+m∠C+m∠D=360°    

the reason is..

Definition of quadrilateral

the  Statement  

4. m∠A+m∠B+m∠A+m∠B=360°    

the reason is..

By substitution

⇒ 2( m∠A + m∠B ) = 360°

⇒ m∠A + m∠B = 180°

it is also similar  m∠C + m∠D = 180°

the  Statement  

5.∠A and ∠C are supplementary

the reason is..

by the definition of Supplementary   ∠ B and ∠D are supplementary

Hope it helps!

Answer:

The difference in their wages is because the quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.

Step-by-step explanation:

Bruno is a dishwasher

Charlie is a cook

Bruno earnings=$x

Charlie earns $2 more than his twin Bruno

Charlie earnings= $x+2.00

At the same restaurant for an hourly rate

The difference in the wages of Bruno and Charlie is as a result of the productivity of labor

The quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.

Answer:

(a) 63 cups

(b) 16 cups

Step-by-step explanation:

Given that the volume of the sink = (2000/3)×π in³

(a) For the cup that has diameter = 4 in. and height, h = 8 in.

The radius, r = Diameter/2 = 4/2 = 2 in.

The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×2²×8 = (32/3)×π in.³

The number of cups to scoop = (Volume of the sink)/(Volume of the cup)

The number of cups to scoop = ((2000/3)×π)/((32/3)×π ) = 125/2=62.5 cups

Rounding to the next whole number gives 62.5 cups ≈  63 cups

(b) For the cup that has diameter = 8 in. and height, h = 8 in.

The radius, r = Diameter/2 = 8/2 = 4 in.

The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×4²×8 = (128/3)×π in.³

The number of cups to scoop = (Volume of the sink)/(Volume of the cup)

The number of cups to scoop = ((2000/3)×π)/((128/3)×π ) = 125/8=15.625 cups

Rounding to the next whole number gives 15.625 cups ≈  16 cups.

Answer: A. [tex]9x^2 - 16y^2[/tex] .

Step-by-step explanation:

From all the options only option A has both terms square and they minus sign between them.

Also, [tex]9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)[/tex]

Here a= 3x and b= 4

Hence, the correct answer is A. [tex]9x^2 - 16y^2[/tex] .

Answer:

A

Step-by-step explanation:

Answer:

This is the graph I inputted into desmos.

Step-by-step explanation:

Next time, using a graphing calculator will work! However, making a table for the x and y outputs will also make it easier to graph points.

For example: see attached image of table.

Answer:

x+9

Step-by-step explanation:

If we use syntetic division we get that

[tex]x^2+2x-63=(x+9)(x-7)[/tex]

Answer:

(x+9)(x-7)

Step-by-step explanation:

For this trinomial, we will factor the constant at the end into 7 and 9.  From here we will break down the trinomial into a binomial form.

(x + or - #) ( x + or - #)

We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.

(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63

Cheers.

Answer:

B. the points scored by a basketball player compared to his minutes played

Step-by-step explanation:

Answer:

15 miles

Step-by-step explanation:

Speed is the ratio of distance traveled to the time taken to reach the distance. The formula for speed is given by:

Speed = distance / time

Distance = speed × time

Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. At time t = 45 minutes = 45/ 60 hour = 0.75 hour, the distance traveled by Claire and Han is given as:

For Claire:

Distance = speed × time = 12 miles / hour × 0.75 hour = 9 miles

For Han:

Distance = speed × time = 8 miles / hour × 0.75 hour = 6 miles

Since both Han and Claire are traveling in opposite directions, the distance between them after 45 minutes = 9 miles + 6 miles = 15 miles

Answer:

Equation: -5 + 12

Overall change: 7 yards

Step-by-step explanation:

In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.

The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.

Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.

Therefore, the answer is 7 yards.

Answer:

8

Step-by-step explanation:

Let's denote the number of members ordered chicken a, the number of members ordered beef b.

We have:

a + b = 12 (total number of members is 12)

10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)

a + b = 12 => a = 12 - b

Substitute a into second equation, we have:

10(12 - b) + 14b = 136

=> 120 - 10b + 14b = 136

=> 4b = 16

=> b = 4

=> a = 12 - b = 12 - 4 = 8

=> Number of members ordered chicken: a = 8

Answer:

Step-by-step explanation:

Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.

x + 4 y = 14............ 1 * 3

3 x + 2 y = 12 ............ 2  * 1

Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.

3x + 12 y = 42.

3 x + 2 y = 12

Taking the diffrence;

12-2y =42 - 12

10y = 30

y = 3

From equation 1, x = 14-4y

x = 14-4(3)

x = 14-12

x = 2

It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily because the variable x has no coefficient in equation 1 compare to equation 2 as such it will be easier to make the substitute for x in the first equation.

Answer:

A: The easiest to solve for is x in the first equation.

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.

Answer:

3

Step-by-step explanation:

In Set A, the minimum is 4 and the maximum is 7 without X which would make the range 7 - 4 = 3 but we want the range to be 4, therefore X has to be 4 + 4 = 8. Unfortunately, this would then make the range of Set B 8 - 1 = 7 so X has to be the smallest number in Set A which would be 7 - 4 = 3.

Answer:

The correct option is;

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

From the given graph of the function we have the following observations;

There are two x-intercepts which are;

1) To the left of the vertical y-axis having coordinates (-1, 0)

2) To the the right of the y-axis having coordinates (3, 0)

There is only one y-intercept  having coordinates, (0, -3)

Therefore, all the intercepts of the function are, (0, -3), (-1, 0) and (3, 0).

Answer:

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation: