The volume of a box(v) varies directly with its length(l). If a box in the group has a length of 35 inches and k=15, what is its volume?

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

Learn more about equations here;

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Answer:

∠1=a+b/2

∠1=37+25/2

∠1=31

Answer: C) 31

-------------------------

Hope it helps...

Have a great day!!!

The angle measure of angle ∠1 is 31°.

The correct option is C.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given information:

The circle is centered at y.

As per the provided diagram,

The angle measure of an arc let a = 37°.

And b = 25°.

To find the angle measure of ∠1:

Apply formula (a + b)/2,

So as per the provided values of a = 37° and b = 25°.

Therefore,

m∠1 = (37 + 25)/2

m∠1 = 62/2

m∠1 = 31°.

Therefore, m∠1 = 31°.

To learn more about the angle measure;

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Answer:

because it is squared while the other one is mulitplied by 2

Step-by-step explanation:

Answer:

16.  25/45 ; 18/45

17  4/7; 4/7

Step-by-step explanation:

5/9 and 2/5

The common denominator is 45

5/9 * 5/5 = 25/45

2/5 *9/9 = 18/45

4/7  and 12/21

Simplify 12/21 by dividing by 3 in the numerator and denominator

12/21 = 4/7

4/7; 4/7

The common denominator is 7

16:25/45;18/45

17: 4/7;4/7

Answer:

16:5/9;2/5

Common denominator is 9*5=45

now

make a equal denominator

5/9=5/9*5/5=25/45

2/5=2/5*9/9=18/45

and

17: 4/7;12/21

common denominator =7

4/7

12/21=4/7

Answer:

Step-by-step explanation:20

20  130  3  8.12 - 1) 2:2  12-1  21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.

Answer:

C . 4

Step-by-step explanation:

whenever you see a straight line going in the graph it means the motion there at a particular point is constant.

hope you understand?

Answer:

6x+20

Step-by-step explanation:

F(x) = 6x+2

f(x+3) means replace x with x+3

F(x+3) = 6(x+3)+2

         = 6x+18+2

         = 6x+20

Answer:

A; F(x+3) = 6x^2 + 20x + 6

Step-by-step explanation:

To find it you just would multiply F(x) onto the other side. So it would look like this:

           F(x+3) = 6x + 2 (x+3)            

          F(x+3) = 6x^2 + 2x + 18x + 6            *combine like terms getting you

           F(x+3) = 6x^2 + 20x + 6    

Hope this helped!!

Answer:

Yes Ella has enough to make 30 mince pies

Step-by-step explanation:

Step-by-step explanation:

to make 36 mince pies you will need

400g of butter

500g of flour

300g of sugar

500g of mince meat

2 eggs

Ella has 1000g of butter

1000g of flour

500g of sugar

600g of meat

6 eggs

these ingredients are more than enough because

1000g-400g=600g-butter

1000g-500g=500g flour

500g-300g=200g sugar

600g-500g=100g mince meat

6-1= 5 eggs

if she were to follow the 36 pie recipe, which is two times the 18 pie recipe

but like  I don't know, because it says a recipe for 18 mince pies, but in the box it says 12

Answer:

Step-by-step explanation:

You have it right it is 6^x -3

You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x

Answer:

x=72

Step-by-step explanation:

Let y=kx and y=a/x^2. y(48)=8, k=(1/6). y=(1/6)*x. 12=(1/6)*x. x=72

Answer:

Step-by-step explanation:

so just solve this as if it's

-5= 2x+3

and

2x+3 = 7 ( be careful not to switch sides or the arrow switches too)

the the top equation looks like

-8=2x

-8/2 = x

-4 =x

the bottom equation looks like

2x = 4

x = 4/2

x = 2

now put it back together with the arrows in the same direction :) ( we don't have to worry about switching directions of the arrows b/c we didn't switch side,  multiply or divide by a negative, so all good :P)

-4<x<=2

Answer:

12

Step-by-step explanation:

The interquartile range is the difference between the lower quartile and the upper quartile

We can find the quartiles at the beginning and the end of the box

At the beginning of the box, we have the lower quartile, while at the end, we have the upper quartile

from what we have ;

The lower quartile is 29 while the upper quartile is 41

So the difference between the two which is the interquartile range is ;

41-29 = 12

Answer:

12

Step-by-step explanation:

Here

[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]

Answer:

i can help you i know this answer

Answer: IT IS CONGRUENT BY ASA POSTULATE.

Step-by-step explanation:

ACCORDING TO THE GIVEN IMAGE

CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR

IN TRIANGLE ABC AND PQR

ANGLE B = ANGLE C ( 90 DEGREES )

AC = PR ( GIVEN IN FIGURE )

A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES

IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R

WE HAVE ALREADY PROVED THAT AC = PR

If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.

SO ANGLE A = ANGLE P

THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR

HOPE IT HELPS YOU......

(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)

Answer:

(−3)(+2)(3+2)

Step-by-step explanation:

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(32+8+4)

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(+2)(3+2)

Answer:

z = -i

Step-by-step explanation:

1 - iz=-1 +iz

Add iz to each side

1 - iz+iz=-1 +iz+iz

1 = -1 +2iz

Add 1 to each side

1+1 = -1+1 +2iz

2 = 2iz

Divide by 2

2/2 = 2iz/2

1 =iz

Divide by i

1/i = iz/i

1/i =z

Multiply the left by i/i

i/i^2 = z

i/-1 =z

-i =z

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I will show how to solve it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformations are transformations that do not change the size or shape of the object. Types of rigid transformations are rotation, reflection and translation.

Since rotation is a rigid transformation so the sides of the parallelogram does not change, hence:

R'A' = RA

Answer:

3.2

Step-by-step explanation:

Answer:

There is no valid value for b

Step-by-step explanation:

We solve the above question using the law of cosines

b² = a² + c² - 2ac × Cos B

B = 42°, a = 6, c = 4

b² = 6² + 4² - 2 × 6 × 4 × Cos 42

b =√6² + 4² - 2 × 6 × 4 × Cos 42

b = √36 + 16 - 48 × Cos 42

Solving the above question, there is no valid value for b

Answer:

PNQ=117

LKQ=102

Step-by-step explanation:

LKQ=180-78=102

KQN=180-67=113

LNQ=360-82-102-113=63

PNQ=180-63=117

Answer:

∠ LKQ = 102°, ∠ PNQ = 117°

Step-by-step explanation:

∠ LKQ = 180° - 78° = 102° ( adjacent angles on a straight line )

∠ KQN = 180° - 67° = 113° ( adjacent angles on a straight line )

The sum of the interior angles of a quadrilateral = 360° , then

∠ LNQ = 360° - (102 + 113 + 82)° = 360° - 297° = 63°

Then

∠ PNQ = 180° - 63° = 117° ( adjacent angles on a straight line )

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.

on day 3 swimmer B has 17 (shown on chart)

on day 3 swimmer A has 23 (14, 17, 20, 23)

if you would want it to complicate it 14:3 and 11:2

14 ÷ 14 is 1

3 ÷ 14 is .214

11 ÷ 11 is 1

2 ÷ 11 is .181

Answer:

they help you in the future and help getting a job in the future and they don't convey because its good and not bad for you.

Step-by-step explanation:

Answer:

the constant is the number without an x attaches to it.

Ex:

y = 2x + 9

9 is a constant because it is not attached to any x

y = x^3 + 2x^2 + 10x + 19

19 is a constant because it is not attached to any x

Answer:

1: (C)

2: (C)

3: (D)

4: (A)

5: (D)

Step-by-step explanation:

1: "Which could be the entire interval over which the function, f(x), is negative?"

When f(x) is negative, that means the values under the f(x) column is negative. As you can see, -16 & -8 are the only times when f(x) is negative. To find the interval, we are going to use x-values. Notice how as x continues to decrease, f(x) also decreases. So the answer is (-infinity, -6).

2: "Which equation represents the graphed function?"

Looking at the graph, we see that the y-intercept is (0, -2). However, all the answer choices have the correct y-intercept, so now we must focus on getting the correct slope. The slope is positive, so the answer is either (A) or (C). To find the correct answer, use the rise/run method from (0, -2) to (4, -1). You rise 1 and run 4, so the slope is 1/4. The answer is y = 1/4x - 2.

3: "If f(1) = 10, what is f(3)?"

I honestly don't know how to do this one. I looked it up on Brainly and some other people said the answer is 30. Credits to dragonheartedking on Brainly.

4: "Which table represents a linear function?"

Table A represents a linear function because each time x increases by 1, y increases by the same amount of 4 each time. It doesn't fluctuate like the rest of the answer choices.

5: "How many units below the y-intercept of g(x) is the y-intercept of f(x)?"

The y-intercept is the point where the function intersects with the y-axis. We start from (0, 2) and count the units as we reach (0, -1). The answer is 3 units.

Hope this helps (●'◡'●)

Answer:

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]x^3-13x-12\text{ is divisible by } x^2-x-12[/tex]

We can factor the divisor:

[tex]x^2-x-12=(x-4)(x+3)[/tex]

According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a) and if P(a) = 0, then the binomial is a factor of P(x).

Our two binomial factors our (x - 4) and (x + 3). Thus, a = 4 and a = -3.

Evaluate the polynomial for both of these factors:

[tex]P(4)=(4)^3-13(4)-12=0[/tex]

And:

[tex]P(-3)=(-3)^3-13(-3)-12=0[/tex]

Since both yielded zero, the original polynomial is divisible by both (x - 4) and (x + 3) or x² - x - 12. Hence:

[tex]x^3-13x-12\text{ is indeed divisible by } x^2-x-12[/tex]

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Answer:

28

Step-by-step explanation:

7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.

Answer:

11

Is it (4 1/3-1 2/5) divided by 4/15 I don't really know what you mean

Answer:

only the third answer is right.

Step-by-step explanation:

to solve it, we need to bring everything to the same denominator (the expression below the division line) or eliminate it completely.

how do we do it ? by multiplying everything with the same expression, so that we can eliminate the denominator for every term.

when looking for the best option I see that

(x² + 5x + 6) = (x + 2)×(x + 3)

that is great, because this covers all 3 denominators in our main expression.

so, we multiply everything by ((x+2)×(x+3)) and eliminate the denominators and the corresponding part of our multiplier.

that leaves us with

x×(x+3) + 2 = 5×(x+2)

now we simply simplify the expression

x² + 3x + 2 = 5x + 10

x² - 8x - 8 = 0

a squared equation has typically 2 solutions. and they are defined as

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = -8

c = -8

x = (8 ± sqrt(64 + 32)) / 2 = (8 ± sqrt(96))/2 =

= (8 ± sqrt(16×6))/2 = (8 ± 4×sqrt(6))/2 = 4 ± 2×sqrt(6)

x1 = 4 + 2×sqrt(6)

x2 = 4 - 2×sqrt(6)

both solutions are different from -2 or -3, therefore -2 and -3 are not solutions at all, and they cannot be extraneous solutions either for that reason.

and since we have 2 perfectly fine solutions, the answer options work no or only one solutions are wrong too.