Solve the equation by factoring.

3x^2 - 7x + 4 = 0

Answer:

The circumference of the circle is 31.4 yd.

Step-by-step explanation:

From the question,

We are to determine the circumference of a circle whose diameter is 10 yd.

The formula for calculating the circumference of a circle in terms of diameter is given as

C = πd

Where C is the circumference

and d is the diameter

From the given information

d = 10 yd

and π = 3.14

Putting the parameters into the formula

We get,

C = 3.14 × 10

∴ C = 31.4 yd

Hence, the circumference of the circle is 31.4 yd.

Answer:

D

Step-by-step explanation:

first process is used in this expression

Solution:

We know that:

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]

Step-1: Substitute the length, breadth, and height.

Step-2: Find the surface area.

[tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]

[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]

[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]

Answer:

See below for solution.

Step-by-step explanation:

[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]

LHS :-

= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]

= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]

= [tex]\frac{16-2\sqrt{55} }{6}[/tex]

= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]

= [tex]\frac{8-\sqrt{55} }{3}[/tex]

=> x = 8/3 and y = 1/3

=> Option B

[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]

= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= 214

Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

Answer:

Step-by-step explanation:

x is smallest integer

x + (x + 1) + (x + 2) = 72

3x + 3 = 72

3x = 69

x = 23.

This means that the integers are 23, 24, and 25.

Answer:

2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.

Entering the values obtained from the data in the table based on the

given functions of y = a·x + b, and y = a·|x| + b, we have;

(1) y = -0.0614·x + 1.58772

(2) y = 0.3824·x + 0.91168

The least squares regression formula is presented as follows;

[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

(1) From the data in the table, and by using MS Excel, we have;

[tex]\overline x[/tex] = -0.2

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8

Which gives;

[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]

1.6 ≈ b - 0.0614 × (-0.2)

b = 1.6 -  0.0614 × (0.2) = 1.58772

The equation of best fit for the function, y = a·x + b, is therefore;

(2) For the function, y = a·|x| + b, we have;

[tex]\overline x[/tex] = 1.8

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8

Which gives;

[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]

1.6 ≈ b + 0.3824 × (1.8)

b = 1.6 -  0.3824 × (1.8) = 0.91168

The equation of best fit for the function, y = a·|x| + b, is therefore;

Learn more about the least squares regression line here:

https://brainly.com/question/15882801

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

Step-by-step explanation:

please mark me as brainlist please

Answer:

Stem and leaf plot.

Step-by-step explanation:

The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

Answer:

for your I'm pretty sure that it's 34

Answer:

i dont know can someone help me out im dying over here

Answer:

Here you go! I  hope this helps

a) (6(3))+4-(3(7))

answer: 1

b) 4(7-3)2+1 =

answer: 33

c) 7^2+5(3)−6

answer: 58

Answer:

b

Step-by-step explanation:

so u have to read careful

Answer:

10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.

Step-by-step explanation:

t= 10 years after 1990.

We are given that f(t) is # of people in millions who own cell phones.

f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990.  To explain the meaning of the following statement, f (10) = 110.3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.

f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.

Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

258.9894 is the total surface area

3

1/7 of 21

=1/7 ×21

=1×3

please please please please please please

Answer:

0.481, 0.487653287..,. and 0.48953

Step-by-step explanation:

There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953

Answer: Answer C and D

Equations:

A. 4+4+4+4 | 16 = 4 | 1+1+1+1

B. 4+4+4+4 | 16 = 1

C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1

D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1

Mark as brainliest if this helps! :)

Step-by-step explanation:

by graph method

x = -b/2a

b = 3, a = -9

x = -3/-18

x = 1/6

back to the equation to substitute

-9x + 3y = 12

-9(1/6) + 3y = 12

- 3/2 + 3y = 12

-3 + 6y = 24

6y = 27

y = 9/2

x = 1/6, y = 9/2

Answer:

Step-by-step explanation:

1. Let's review the information given to

1. Let's review the information given tous to answer the question correctly:

1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead = 12

= 12grams

Side of the cube = 1 cm

2. What would be the mass of a lead

What would be the mass of a leadcube whose sides have length 1.5 cm?

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:

Let's recall the formula of the density:

Density Mass/Volume, therefore:

Density of the lead = 12/1= 12 gr/cm

Now, let's calculate the volume of the

Now, let's calculate the volume of thesecond cube:

Finally, let's calculate the mass, using

Finally, let's calculate the mass, usingthe density of the lead we already

Finally, let's calculate the mass, usingthe density of the lead we alreadyknow: