Read the following description of a relationship: Anne's shower uses 15 liters of water per minute. Let m represent the number of minutes her shower is on and w represent the liters of water used. Find the value of w when m=7.

Answer:

Step-by-step explanation:

We only have the sides of the triangles. Therefore, we can decide if the triangles are similar only by SSS.

If triangles are similar, then corresponding sides make proportion.

We have (let's set the sides in ascending order):

triangle 1: 30, 42 and 51

triangle 2: 10, 14 and 17.

Check:

30 : 10 =3

42 : 14 = 3

51 : 17 = 3

correct

Answer:

SSS

Step-by-step explanation:

[tex] \frac{51}{17} = 3 \\ \frac{30}{10} = 3 \\ \frac{42}{14} = 3 \\ hope \: this \: helps. \: good \: luck[/tex]

Answer: A

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

CU + UB = CB

Since U is the midpoint that means CU = UB = 18

18+ 18 = 2x-10

36 = 2x-10

Add 10 to each side

36+10 = 2x

46 =2x

Divide by 2

23 = x

Answer:

Step-by-step explanation:

CB/2 = CU

CB = (2)CU

2x - 10 = (2)18

2x - 10 = 36

Add 10 on both sides.

2x = 46

Divide both sides by 2.

x = 23

Answer:

reflection from the x-axis

Answer:

See Explanation

Step-by-step explanation:

(a)For matrices A and D, given that: [tex]AD=I_m[/tex].

We want to show that [tex]\forall b \in R^m[/tex], Ax=b has a solution.

If Ax=b

Multiply both sides by D

[tex](Ax)D=b \times D\\\implies (AD)x=bD$ (Recall: AD=I_m)\\\implies I_mx=Db $ (Since I_m$ is the m\times m$ identity matrix)\\\implies x=Db[/tex]

This means that the system Ax=b has a solution.

(b)Matrix A has a pivot position in each row where each pivot is a different column. Therefore, A must have at least as many columns as rows.

This means A cannot have more rows than columns.

Answer:

A is wrong

B is correct

C is correct

D is wrong

E is wrong

F is correct

Step-by-step explanation:

Here, we want to select the correct options about the sine function.

A. is wrong

Let’s use a case of 30 degrees angle

Sin(-30) = -0.5

Sin(30) = 0.5

B is correct

sin(-30) = -0.5

-sin(30) = -0.5

C. C is correct

Sine function is an odd function.

By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)

This is obtainable and clear about the sine function from earlier options

D. Is wrong

E. is wrong

F. is correct

The period of the sine function is 2 pi

The period of a function is the time distance between two peaks or crests

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

Let a be the area of the single parallelogram

the area of a parallelogram is fiven by the formula :

let's find y

Answer:

x=7/2

Step-by-step explanation:

Answer:

X=7/2

Step-by-step explanation:

Answer:

The speed of a car.

Step-by-step explanation:

All the other answers are discrete.

Answer:

second one

Step-by-step explanation:

The speed of a car is a data that changes over time and it is a countinuous data

While other examples are only discrete data since they contain quantities

Step-by-step explanation:

the least ratio is 2 and the total ratio is 10 therefore the least amount should be two divided by the total ratio multiplying the coke in milliliters (1L = 1000ml)

Answer:

Average speed of passenger aircraft in 1978 is 408.9 mph

Step-by-step explanation:

Here, in the question, we are tasked with giving the value of the average speed of the passenger aircraft in the US for the year 1978, given that it is a certain multiple of the value in 1960.

So what we will be doing here is to get the value of the average speed and it can be gotten by multiplying the average speed in 1960 by the multiple to which the speed is, now in 1978.

From the question, we can write a formula for this;

Average speed of passenger aircraft in 1978 = 1.74 * average speed of passenger aircraft in 1960

From the question, we have that the average speed of passenger aircraft in 1960 = 235 mph

Thus,

Average speed of passenger aircraft in 1978 = 1.74 * 235 = 408.9 mph

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

Answer:

no it's not, since y has two functions , a positive and negative in terms of x.

Step-by-step explanation:

sum=2/3 and product=-4

x^2-(sum)x+(product)

x^2-2/3x+(-4)

x^2-2/3x-4

1/3(3x^2-2x-12)

the polynomial is 3x^2-2x-12

Answer:

I hope it is correct ✌️

Answer:

first option

Step-by-step explanation:

Given

[tex]\frac{3x}{x+1}[/tex] ÷ x + 1 = [tex]\frac{3x}{x+1}[/tex] ÷ [tex]\frac{x+1}{1}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

= [tex]\frac{3x}{x+1}[/tex] × [tex]\frac{1}{x+1}[/tex]

Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

An expression is combination of variables, numbers and operators.

The given expression is 3x/x+1 divided by x+1.

We need to find the equivalent expression of it.

3x/x+1 divided by x+1 can be mathematically written as below

(3x/x+1)/x+1

(3x/x+1) is the numerator and x+1 is in denominator

(3x/x+1)/(x+1/1)

When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.

(3x/x+1).(1/x+1)

Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

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Answer:

Perimeter of big rectangle = 38 units

Step-by-step explanation:

Let the sides of rectangle (1) = a and c cm

Sides of rectangle (2) = b and c cm

Sides of rectangle (3) = b and d cm

Sides of rectangle (4) = a and d cm

Perimeter of (1) = 2(length + width)

2(a + c) = 10

a + c = 5 ---------(1)

Perimeter of (2) = 2(b + c)

2(b + c) = 20

b + c = 10 -------(2)

Perimeter of (3) =2(b + d)

2(b + d) = 28

b + d = 14 --------(3)

Perimeter of (4) = 2(a + d)

2(a + d) = 18                      

a + d = 9 -------(4)

Since perimeter of the big rectangle = 2(a + b + c + d)

By adding equations (1) + (2) + (3) + (4),

(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9

2(a + b + c + d) = 38

Therefore, perimeter of the rectangle ABCD = 38 units

Answer:

b

Step-by-step explanation:

i got it right

Answer: b

Step-by-step explanation:

its correct

Answer:

Step-by-step explanation:

Total no of beads = 2 + 1 + 3 = 6

No of red beads = 2

p ( red ) = 2/6 = 1/3

No of non - yellow beads = 5

p ( yellow ) = 5/6

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Step-by-step explanation:

There are total 6 beads in all.

2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6

Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3

Step-by-step explanation:

given,

tan thita =8/9

or,tan thita=p/b

now, h=

[tex] \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{8 {}^{2} + 9 {}^{2} } [/tex]

[tex] = \sqrt{145} [/tex]

therefore, h=

[tex] \sqrt{145} [/tex]

now, cos thita =b/h

so, cos thita =

[tex]9 \div \sqrt{145} [/tex]

[tex] = 9 \sqrt{145} \div \sqrt{145} [/tex]

......ans........

hope its helpful

Answer:

Step-by-step explanation:

hello,

pls find below the graph

we need to find the point of intersection between both lines

which is (4,3)

hope this helps

The solution for the given system of linear equations is (4, 3).

Given that, here is a graph of y=7-x for values x from 0 to 7.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given system of linear equations

y=7-x -------(I) and y=x-1 -------(II)

From equation (I) and (II),

7-x=x-1

⇒ 2x=8

⇒ x=4

So, y=7-x=3

Thus, (x, y)=(4, 3)

Therefore, the solution for the given system of linear equations is (4, 3).

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Answer:

The equation of the line is

y = 2x + 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the gradient

c is the y intercept

From the question m is 2

Equation of the line using point (1,4) is

y - 4 = 2( x - 1)

y - 4 = 2x - 2

y = 2x - 2 + 4

y = 2x + 2

Hope this helps you

Answer:

90°

Step-by-step explanation:

Data provided in the question

Angle V = right angle = 90°

YX and WX = tangents,

And YV and WV = radii

So, we can say that

Angle Y = 90°

And,

Angle  W = 90°

Now as we know that sum of four interior angles is 360°

So,

the equation is  

V + Y + W + X = 360°

90° + 90° + 90° + X = 360°

270° + X = 360

Therefore,

X = 360° - 270°

= 90°

Answer:

c. 90

Step-by-step explanation:

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

1, 3, 5, 15

Step-by-step explanation:

These 4 numbers are all the factors for 15, since they can divide 15 evenly

(ex: 15/3  = 5)

Answer:

Benoit Mandelbrot

Step-by-step explanation:

I googled it.

Answer:

B MANDLEBROT

Step-by-step explanation:

Who coined the term “fractal”?

a.

Sierpinski

c.

Sapoval

b.

Mandlebrot

d.

Amalgamated Research

Answer:

1/18

Step-by-step explanation:

First list all the 2 answers that may add up to 11:

5 and 6

6 and 5

There are no more.

Next how many possible outcomes can se get?:

6 x 6 = 36

Thus, the probability = 2/36 = 1/18

The odds of the two dice's results adding up to 11 are 1/18.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice.

From the general formula of probability:

Probability = desired outcomes / total possible outcomes

in our case desired outcome =  scores on the two dice adding to 11

the desired outcome is getting 6, 5 and 5,6

thus desired outcome =  2

since the dice is 6-sided

total outcome = 6*6  = 36

probability = 2/36

Probability = 1/18

therefore, the probability of the scores on the two dice adding to 11 is 1/18.

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Answer:

3 3 4 4 5

Step-by-step explanation:

Hope you understand :)

The value of angel A = 40 and side= 9.3 cm

The ratio of the side and the corresponding angle of a triangle is equal to the diameter of the circumcircle of the triangle. The sine law is can therefore be given as,

a/ sin A= b/ sin B= c/ sin C

The law of sines formula is used for relating the lengths of the sides of a triangle to the sines of consecutive angles. It is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides. The law of sines formula is used for any triangle apart from SAS triangle and SSS triangle. It says,

a/sin A = b/sin B = c/sin C

where,

a, b, and c are the lengths of the triangle

A, B, and C are the angles of the triangle.

Using angle sum property,

<A + <B + <C= 180

<A + 110 + 30 = 180

<A = 180- 140

<A= 40

Now, Using  law

a/ sin A= b/ sin B= c/ sin C

12/sin 40 = c/ sin 30

c= 9.3

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Answer:

Top row: [1 0 0 1000]

Middle row: [0 1 0 300]

Bottom Row: [0 0 1 0]

Step-by-step explanation:

To put it in RREF form, you need to have only 1's in a diagonal and 0's both top and bottom of the 1's. To get to the forms, you need to multiply and add rows together to solve for RREF.

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]