Need help with questions 3

Answer: 2 g/cm^3

Step-by-step explanation:

Remember the relation:

density = mass/volume.

Now, we know that:

Density of metal A = 2.4 g/cm^3

Density of metal B = 1.8 g/cm^3

We know that their masses are combined in the ratio 2:3

Then out of the total mass of metal C, 2 parts are from metal A and 3 parts are from metal B.

Mass of metal C = 60g

mass of metal A = (2/5)*60g =24g

mass of metal B = (3/5)*60g = 36g

Now that we know the mass of each metal, we can find their volumes by:

volume = mass/density

Volume of metal A = (24g)/(2.4g/cm^3) = 10cm^3

Volume of metal B = (36g)/(1.8g/cm^3) = 20cm^3

The total volume of metal C will be equal to the sum of the volumes of metal A and B, then:

Volume of metal C = 10cm^3 + 20cm^3 = 30cm^3

Then we know the volume and weight of metal C, then the density of metal C is:

Density of metal C = (60g)/(30cm^3)= 2 g/cm^3

Answer:

3 or 7 x i

Step-by-step explanation:

3 or 7 i think thats right

Answer:6

Step-by-step explanation:

Similar triangles may or may not be congruent.

The value of h is 6.

The equivalent ratio of the triangles is:

[tex]\mathbf{h : 12 = 3 : h}[/tex]

Express as fractions

[tex]\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}[/tex]

Cross multiply

[tex]\mathbf{h^2=36}[/tex]

Take positive square roots of both sides

[tex]\mathbf{h=6}[/tex]

Hence, the value of h is 6.

Read more about similar triangles at:

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if you times the two questions the answer is 1.5700 I hope this helps because I'm not that good at math! :)

Answer:

3x = -18 (x = -6)

18x = 108 (x = 11)

5x = 90 (x = 18)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Substitute t = 5.5 into h(t) , that is

h(5.5) = - 16(5.5)² + 128(5.5) = - 484 + 704 = 220 ft → C

Answer:

y = 4x - 3

Step-by-step explanation:

(-2, -11) & (3, 9)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(9 - (-11)) / (3 - (-2))

Simplify the parentheses.

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 4(3) + b

To find b, multiply the slope and the input of x(3)

9 = 12 + b

Now, subtract 12 from both sides to isolate b.

-3 = b

Plug this into your standard equation.

y = 4x - 3

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -11).

y = 4x - 3

-11 = 4(-2) -3

-11 = -8 - 3

-11 = -11

Your equation is correct.

Hope this helps!

Answer:

[tex]x = - 3[/tex]

[tex]y = - 2[/tex]

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

[tex]x + 1= 5x + 13[/tex]

Subtract 1 from both sides

[tex]x = 5x + 12[/tex]

Subtract 5x from both sides

[tex] - 4x = 12[/tex]

Divide both sides by -4

[tex]x = - 3[/tex]

Now x=-3 into the top equation to find y

[tex] - 3 + 1 = - 2[/tex]

y=-2

Answer:

Taller because it is bigger and more likely to have greater volume

Step-by-step explanation:

its correct 100%

The correct statement is,

''The taller cylinder have the larger volume than shorter cylinder.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Will the shorter cylinder or taller cylinder have the larger volume.

Since, We know that;

The volume of a cylinder is calculated by multiplying the area of the base by the height.

And, since the height of the taller cylinder is greater than the shorter cylinder, it is likely to have a larger volume.

Thus, The taller cylinder have the larger volume than shorter cylinder.

Learn more about the mathematical expression visit:

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#SPJ3

Answer:

9 & 12

Step-by-step explanation:

For the first box you multiply 2x3 which would give you 6 and then you would add 3 and that would give you 9.

For the second box you would multiply 2x4 which would give you 8 and then you would add 4 and that would give you the final pruduct of 12.

Result

0 = 0

infinitely many solutions.

Answer:

The indifference point is 1.6 hours.

Step-by-step explanation:

Giving the following information:

Jerry's water sports:

Variable cost= $20.00 per hour

Fixed cost= $8

Splash of fun:

Variable cost= $25.00 per hour.

First, we need to establish the system of equations:

Jerry= 8 + 20x

Splash= 25x

x= number of hours

Now, we need to equal both formulas and isolate x:

20x + 8 = 25x

8=5x

1.6= x

The indifference point is 1.6 hours.

Prove:

erry= 8 + 20*1.6= $40

Splash= 25*1.6= $40

Small bag = 2x

Medium bag = 3x

Large bag = 7x

2x + 3x + 7x = 60

12x = 60

x = 60/12

x = 5

Small bag = 2(5) = 10 kg

Medium bag = 3(5) = 15 kg

Large bag = 7(5) = 35 kg

Done.

Answer:

Step-by-step explanation:

55*4^(33/11) = 55*4^3 = 55*64 = 3520

Answer:

c) k = - 2

Step-by-step explanation:

Equação de Segundo Grau:

Uma equação de segundo grau tem o seguinte formato:

[tex]ax^2 + bx + c = 0[/tex]

Em que [tex]a \neq 0[/tex]

Caso tenham potências de x maiores que dois, o termo que multiplica essas potências deve ser 0.

Neste exercício:

Tem-se a seguinte equação:

[tex](k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0[/tex]

Para ser do segundo grau, necessita-se que:

[tex]k^2 - 4 = 0[/tex]

[tex]k^2 = 4[/tex]

[tex]k = \pm \sqrt{4}[/tex]

[tex]k = \pm 2[/tex]

E também

[tex]k - 2 \neq 0[/tex]

[tex]k \neq 2[/tex]

A intersecção entre [tex]k = \pm 2[/tex] e [tex]k \neq 2[/tex] é [tex]k = -2[/tex], e portanto a resposta é dada pela alternativa c.

O valor de k que torna a equação uma equação de segundo grau para a equação considerada é dado por: Opção C: k = -2

For a single variable equation, degree of an equation is the highest power the variable possess, such that its coefficient is non-zero.

A second degree equation is that equation where the maximum power involved in that equation is 2 (such that its coefficient is non-zero).

For this case, the considered equation is:

(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0

For making it second degree, we would have to vanish the coefficient of x³, and by vanish, we mean we would like to make it 0, but simultaneously, we'd have to take care that coefficient of x² doesn't become 0 as we need it to be non-zero.

So we get two mathematical statements:

or

[tex](k^2 - 4) = 0\\k - 2 \neq 0[/tex]

Taking first equation, we get:

[tex]k^2 -4 = 0\\k^2 = 4\\k = \pm \sqrt{4} = \pm 2[/tex]
Thus, k = 2 or k = -2

From second statement, we get:

[tex]k -2 \neq 0\\\text{adding 2 on both the sides}\\k \neq 2[/tex]

Thus, from both the results, we conclude that k = -2 is correct choice.

Thus, the value of k that makes the equation a second degree equation for the considered equation is given by: Option C: k = -2

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13.2

Step-by-step explanation:

r = 2.1

circumference of circle = 2πr

=2 × 22/7 × 2.1

= 13.2

Answer:

C. Disagree

Explanation:

Because when you're adding mixed fractions, you don't just make them/find there denominator's equivalent/LCM and them, you have to first convert them to improper fractions.

Hope this helps