y= 2x + 1
y = -3x +6

Solve the solution to this system of linear equations

(Please help)

Answer:

4082

Step-by-step explanation:

Given

The composite object

Required

The volume

The object is a mix of a cone and a hemisphere

Such that:

Cone

[tex]r = 10cm[/tex] ---- radius (r = 20/2)

[tex]h = 19cm[/tex]

Hemisphere

[tex]r=10cm[/tex]

The volume of the cone is:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

[tex]V_1 = \frac{1}{3}\pi * 10^2 * 19[/tex]

[tex]V_1 = \frac{1900}{3}\pi[/tex]

The volume of the hemisphere is:

[tex]V_2 = \frac{2}{3}\pi r^3[/tex]

[tex]V_2 = \frac{2}{3}\pi 10^3[/tex]

[tex]V_2 = \frac{2000}{3}\pi[/tex]

So, the volume of the object is:

[tex]V = V_1 + V_2[/tex]

[tex]V = \frac{1900}{3}\pi + \frac{2000}{3}\pi[/tex]

[tex]V = \frac{3900}{3}\pi[/tex]

[tex]V = 1300\pi[/tex]

[tex]V = 1300 * 3.14[/tex]

[tex]V = 4082[/tex]

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.

Answer:

09

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Find the sales tax rate by dividing the amount of sales tax by the original cost:

6.40/320

= 0.02

So, the sales tax rate is 2%

Answer: 6x−6

6x−6

=6(x−1)

Answer:

6(x−1)

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

Angles 1 and 2 together equal 180, Angle 1 is 79 therefore

180 = Angle 1 + Angle 2

180 = 79 + Angle 2

180 - 79 = Angle 2

101 = Angle 2

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle "[tex]r[/tex]" = 9 in.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in[/tex]

Therefore, the circumference of the circle is 56.52 in.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

B). F(1, 12) = 16.00

Step-by-step explanation:

'ANOVA' is a measure employed for 'analysis of a variance' in a given set of data of treatments or populations. While t-test helps in comparing their means.

As per the question, the F-ratio using ANOVA would be 'F(1, 12) = 16.00.' In order to calculate the variances, the distinction among the samples. The б^2 denotes the difference of representative means which is augmented by n(in case of samples being same). So, the ratio of F(1, 12) would be б^2 i.e. 4^2 = 16 since the sample sizes are distinct. Thus, option B is the correct answer.

Answer:

(7*2 / 2*2) = 14/4 = 3.5

(7*3 / 2*3) = 21/6  = 3.5

(7*4 / 2*4) = 28/8 = 3.5

Step-by-step explanation:

just multiply or divide both number by the same quantity and you will maintain the ratio

Answer:

5

Step-by-step explanation:

4295/5 = 859

4295 is divisible by the prime number 5

no need to test any higher priime

Answer:

4000 millilitres

Step-by-step explanation:

======================================

Work Shown:

1 liter = 1000 mL

4*(1 liter) = 4*(1000 mL)

4 liters = 4000 mL

Answer:

10log10(3)abc

The equivalent expression for the log function log3(a^5bc^2) is  5log3a+log3b−2log3c

Logarithmic functions are expressed as the inverse of exponential functions.

Given the logarithmic expression

log3(a^5bc^2)

Since product are written in form of addition, hence;

log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)

The power will be carried to the back of the log function;

log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)

This gives the equivalent expression for the log function log3(a^5bc^2)

Learn more on logarithmic expression here: https://brainly.com/question/25710806

Answer:

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Po is an oncologist with seven patients in their care.

This means that [tex]n = 7[/tex]

The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.

This means that [tex]p = 0.82[/tex]

What is the probability that four of the patients are still alive after five years?

This is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Answer:

± [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{9}{16} }[/tex] = [tex]\frac{\sqrt{9} }{\sqrt{16} }[/tex] = ± [tex]\frac{3}{4}[/tex] ← note plus or minus

Answer:

3/4

Step-by-step explanation:

The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.

Hope it helps

Answer:

It lies between the number 9 and 10.

Step-by-step explanation:

Your Welcome, hope this helps:)

Answer:

We all know that every square root lies between the square root of two perfect squares. Hence, √90 lies between the consecutive numbers 9 and 10.

Step-by-step explanation:

k

Answer:

-1 I think so.....

n please rate this

Answer:

B. g(x)=x²-3 b is my answer

The labels for the segmented bar graph include:

A bar graph is a graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

Here, the identification of the labels for the segmented bar graph has been depicted based on the information.

Learn more about bar graph on:

https://brainly.com/question/24741444

#SPJ1

Answer:

Step-by-step explanation:

8y^2 -12y +4 / 4y = 2y -3     so from this result that a=2y and b= - 3

8y^2

Answer:

9

Step-by-step explanation:

5(n-2)=35

5n-10=35

5n=35+10

5n=45

n=45/5

n=9

Please mark me as brainliest

Answer:

4.58258

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

Input:

2² + x² = 5²

Remember, c² is always the side opposite of the right angle...

4 + x² = 25

21 = x²

x = 4.58258

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]\sqrt{21}[/tex]

Step-by-step explanation:

let the missing side be x , then

Using Pythagoras' identity in the right triangle.

x² + 2² = 5²

x² + 4 = 25 ( subtract 4 from both sides )

x² = 21 ( take the square root of both sides )

x = [tex]\sqrt{21}[/tex] ≈ 4.6 ( to 1 dec. place )

Answer:

Volume of cylinder = 192π inch³

Step-by-step explanation:

Given:

Diameter of base = 8 inch

Length of cylinder = 12 inch

Find:

Volume of cylinder

Computation:

Radius of cylinder = Diameter of base / 2

Radius of cylinder = 8 / 2

Radius of cylinder = 4 inch

Volume of cylinder = πr²h

Volume of cylinder = π(4)²(12)

Volume of cylinder = π(16)(12)

Volume of cylinder = 192π inch³

Answer:

Future value, A = $10,500

Step-by-step explanation:

Given the following data;

Principal = Rs. 10,000

Interest rate compounded half yearly = 10% = 10/2 = 5%

Time = 1 year

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

Substituting into the equation, we have;

[tex] A = 10000(1 + \frac{5}{100})^{1}[/tex]

[tex] A = 10000(1 + 0.05)[/tex]

[tex] A = 10000(1.05)[/tex]

Future value, A = $10,500

========================================================

Explanation:

Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.

Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y

(30-y)/2 = 10

30-y = 10*2

30-y = 20

-y = 20-30

-y = -10

y = 10

Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees

30+x+y = 180

30+x+10 = 180

x+40 = 180

x = 180-40

x = 140

Answer:

6^2+12+4=49

36+16=49

52=49

therefore.3

Answer:

the answer is 2. (6 and 4)

Step-by-step explanation:

6 + 4 = 10