[tex] \sqrt{3x + 4} - \sqrt{x + 5} = 1[/tex]
​

Answer:

12.5663

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The parallel lines divide the transversals proportionally.

The green length = 24 - c , then

[tex]\frac{24-c}{20}[/tex] = [tex]\frac{c}{12}[/tex] ( cross- multiply )

12(24 - c) = 20c ← distribute left side

288 - 12c = 20c ( add 12c to both sides )

288 = 32c ( divide both sides by 32 )

9 = c

Then

green length = 24 - 9 = 15

Answer:

22608cm³

Step-by-step explanation:

Step 1

We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.

Cup is shaped as a cone

The volume of a cone = πr²h/3

Where

r = radius = 4cm

h = height = 9cm

π = 3.14

Hence,

Volume of the cone (cup) =

3.14 × 4² × 9/3

= 150.72 cm³

Step 1

How much water is needed to fill 150 cups?

1 cup = 150.72 cm³ of water

150 cups = x

Cross Multiply

x = 150 × 150.72 cm³

x = 22608 cm³ of water

Therefore, 22608cm³ of water is needed to fill 150 cups

Answer:

-14

Step-by-step explanation:

-2 x 10 = -20

-20 + 6 = 14

Therefore -2m + 6 = 14

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

Answer:

Step-by-step explanation:

Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula

C

=

D

×

π

where

D

is the length of the diameter of the circle and

π

≈

3.14

.

Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula

C

=

2

×

r

×

π

where

r

is the length of the radius of the circle and

π

≈

3.14

.

Area of Circle Formula: The area of a circle is determined by the following formula

A

=

r

×

r

×

π

=

r

2

×

π

Answer:

The answer is 12

Step-by-step explanation:

hope it is helpful to you

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.

According to the given problem,

Let us choose any value of x,

x = 10

For this value of x we can see that the respective value of y= 50

Substituting the value of x in the equations to see which equation satisfies the value of y as 50.

Substituting the value of x in the equation:

y^ = -0.175x²-3.786x+121.119

y^ = 50

Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.

Learn more about Quadratic Linear Equations here:

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Answer:

y - 2 = 3(x + 5)

Step-by-step explanation:

The given equation has slope -1/3.  Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.

Use the point-slope formula y - k = m(x - h):

y - 2 = 3(x + 5)

Answer:

A

Step-by-step explanation:

Sum the product of the components in the first row of A with the corresponding components of the first column in B

Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is

AB

= [tex]\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right][/tex]  → A

Answer:

The answer is 1.789

Answer:

B

Step-by-step explanation:

that seems like the best option to me

Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

Rational numbers are the numbers that can be expressed in the form of a ratio.

Answer:

Step-by-step explanation:

t = 2h-8  

since you didn't put in the equations,  just put in what ever variable is where t is at and any variable other than t for the h   :)

Answer:

Please put equations, so I can able to give you ans

Answer:

Adjacent

Step-by-step explanation:

They are next to each other ^^

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

becasue  you can square a negative number

Answer:

b

Step-by-step explanation:

Area of a rectangle = length x width

length = 8 + 2 = 10

width = 10 + 2 = 12

10 x 12 = 120

Answer:

The first one is 140 and the second one is -2.6

Step-by-step explanation:

Your welcome !

just use a calculator lol

Answer:

19 is D

20 is A

Step-by-step explanation:

19. 60+80=140

20. 2.3-4.9=-2.6

Answer:

base = 2

Step-by-step explanation:

area = 1/2 base * height

7 = 1/2b * 7

7 = 7b/2

cross multiply

14 = 7b

divide both sides by 7

b = 2

Answer:

2

Step-by-step explanation:

So the formula for area of a right triangle is A=B*L*1/2

Variables to remember:

H=height

B=base

A=area

We know that 7=7*B* 1/2. Since they say area is 7, height is 7.

So, we know that L has to equal 1 to make 7*B=7

However, we must remember that this is *1/2. So to make area=7, we must get 14. To get 14, we must have 7*2*1/2, which would equal 14*1/2, equaling 7.

So the answer for B is:

2

Hope this helps! ;)

Answer:

box 1 = 4

box 2 = 40%

table box 1 = 75%

table box 2 = 25%

Step-by-step explanation:

hope this helps :D

Answer:

d

Step-by-step explanation:

Just look for the one that have right adding

Answer: 10

Step-by-step explanation:

10+10 = 20

10 x 10 = 100

mi would do another but i supposed to be in class :P

The two Integers are  [tex]10,10.[/tex]

An Integer number that can be written without a fractional component.

We have,

Sum of two Integers [tex]=20[/tex]

Product of two Integers [tex]=100[/tex]

Now,

Let,

One integer [tex]=x[/tex]

Another integer [tex]=y[/tex]

So,

According to the question,

[tex]x+y= 20[/tex]     [tex].....(i)[/tex]

[tex]x*y=100[/tex]

⇒ [tex]x=\frac{100}{y}[/tex]     [tex].....(ii)[/tex]

Now,

Putting value of x in equation (i),

We get,

[tex]\frac{100}{y}+y= 20[/tex]

[tex]100+y^2=20y[/tex]

[tex]y^2-20y+100=0[/tex]

Using middle term split method,

[tex]y^2-10y-10y+100=0[/tex]

[tex]y(y-10)-10(y-10)=0[/tex]

[tex](y-10) (y-10)=0[/tex]

We get,

[tex](y-10)=0[/tex] and [tex](y-10)=0[/tex]

So, [tex]y=10[/tex]

Now, putting value of y in in equation (i),

[tex]x+10=20[/tex]

[tex]x=10[/tex]

So, two integers are [tex]10,10.[/tex]

Hence, we can say that the two Integers are  [tex]10,10.[/tex]

To know more about Integers click here

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Answer:

10.

5x+23=8x-19

23+19=8x-5x

3x=42

x=42/3

x=14

11.

14x-13=8x+5

14x-8x=13+5

6x=18

x=18/6

x=3

.12.

4x+7=10x-41

10x-4x=41+7

6x=48

x=48/6

x=8

so

h=10×8-41=39

b=17

p=SV

By using Pythagoras law

p²+b²=h²

SV²=39²-17²

SV²=1232

SV=√1232

SV=35.09=35

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

0.6y = 160

y = 160/0.6y

y = 266.67 g

Solving for x

x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

Answer:

12

Step-by-step explanation:

We know that 8x3=24, so we have to find what would equal 3 in the parenthesis.

12-9=3

The correct equation would be 8 (12-9) =24, or to be very simple, 8x3=24.

So y=12.

Answer:

120cm2

Step-by-step explanation:

6 x 8 = 48cm2

8 x 9 = 72cm2

48 + 72 = 120cm2

Answer:

120 m^2

Step-by-step explanation:

The box on the left is 6m x 8m, thus the area would be 48 m^2.

The box on the right is 9m x 8m, thus the area would be 72 m^2.

Adding both areas would give you the total area of 120 m^2.

Answer:

Equation D, y = 1.75x + 6.25

Step-by-step explanation:

We know that the common ratio is 1.75 which means that the data would go up by $1.75 each time and then an additional of 6.25 is also there. Hence, 1.75 would be the slope and 6.25 would be the intercept of the equation.

Hope this helps!