under what conditions on a and b will the linear system have no solutions, one solution, infinitely many solutions?

Step-by-step explanation:

7 dollars + .0825 tax = 7 .58

  leaving $1.92 max tip ( out of 9.50 to spend)

                           ( this is a 27% tip on your purchase....more than adequate)

Answer:

There is nothing here to help you with

Step-by-step explanation:

Step-by-step explanation:

where is your question???

For triangle ABC with A = 52°, B = 68°, and c = 16 cm, angle C is approximately 60°, and side a is approximately 10 cm.

For triangle ABC with A = 40.5°, B = 73.2°, and a = 225 inches, angle C is approximately 66.3°, side c is approximately 450 inches, and side b is approximately 431 inches.

For triangle ABC with A = 114.6°, C = 18.9°, and c = 231 inches, angle B is approximately 46.5°, side a is approximately 380 inches, and side b is approximately 57 inches.

Using the given angles and side length, we can find angle C by subtracting angles A and B from 180°:

C ≈ 180° - 52° - 68° = 60°.

To find side a, we can use the Law of Sines, which states that

a/sin(A) = c/sin(C). Solving for a gives us a ≈ c * sin(A) / sin(C) ≈ 16 * sin(52°) / sin(60°) ≈ 10 cm.

By subtracting angles A and B from 180°, we find angle

C: C ≈ 180° - 40.5° - 73.2° = 66.3°.

Using the Law of Sines, we can find side

c: c/sin(C) = a/sin(A), which gives us c ≈ a * sin(C) / sin(A) ≈ 225 * sin(66.3°) / sin(40.5°) ≈ 450 inches.

Similarly, using the Law of Sines, we find side b: b ≈ a * sin(B) / sin(A) ≈ 225 * sin(73.2°) / sin(40.5°) ≈ 431 inches.

Subtracting angles A and C from 180° gives us angle B: B ≈ 180° - 114.6° - 18.9° = 46.5°.

Using the Law of Sines, we find side

a: a ≈ c * sin(A) / sin(C) ≈ 231 * sin(114.6°) / sin(18.9°) ≈ 380 inches.

Finally, using the Law of Sines, we find side

b: b ≈ c * sin(B) / sin(C) ≈ 231 * sin(46.5°) / sin(18.9°) ≈ 57 inches.

Learn more about Triangle here ; brainly.com/question/29083884

#SPJ11

Answer:

MN = 10

Step-by-step explanation:

There is a scale factor of 2 [This means that the lengths of triangle ∆MPN are exactly 2 times larger than ∆SRQ], so 5 × 2 = 10.

Notice that each corresponding line is marked by a black mark perpendicular to the side. Since 2 corresponds to 4, and 3 corresponds to 6, 5 must correspond to 10. These triangles are similar as indicated by the marks so there is just a size difference. Because these two triangles are similar, the sides must be proportional.

∆MPN ~ ∆SRQ.

It can also be thought of as completing a set of proportional fractions:

4/2 = 6/3 = ?/5

4/2 = 2 → 6/3 = 2 → ?/5 = 2.

?/5 = 2, ? = 5 × 2 = 10.

We have to calculate the estimated standard error and means of the two samples before calculating  the test statistic for a two sample test of means with population variances equal but unknown.

In the given question, we have to explain steps that are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown.

The test statistic for a two-sample independent t-test is derived by dividing the difference between the means of the two samples by the estimated standard error, either pooled or unpooled. The total amount of variation in both groups is gauged by the anticipated standard error.

So we have to calculate the estimated standard error and means of the two samples before calculating  the test statistic for a two sample test of means with population variances equal but unknown.

To learn more about test statistic link is here

brainly.com/question/14128303

#SPJ4

First, lets find the numbers 8 2/3 and 1 3/5, as follows:

And:

Now we can find our division, as follows:

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

(210/360)(48π) = 28 Pi

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

To learn more about the factors visit the link :

https://brainly.com/question/24182713

#SPJ9

Answer:

=1.3

Step-by-step explanation:

Combine multiplied terms into a single fraction

0

.

6

5

=

0

.

5

0.65=0.5c

0.65=0.5c

0

.

6

5

=

1

2

0.65=\frac{1c}{2}

0.65=21c​

2

Multiply by 1

3

Multiply all terms by the same value to eliminate fraction denominators

4

Cancel multiplied terms that are in the denominator

5

Multiply the numbers

6

Move the variable to the left

Solution

=1.3

Answer:

c = 1.3

Step-by-step explanation:

0.65 = 0.5c ( divide both sides by 0.5 )

\(\frac{0.65}{0.5}\) = c , that is

c = 1.3

As describes in geometry the area of the rectangle = 288cm

what is geometry ?

The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.

solution

radius of semicircle = 12

diameter will be = 24 and this is the length of rectangle s given in the question

area of the rectangle  = l*b

                                     = 24*12

area of the rectangle = 288cm

Hence the area of the rectangle = 288cm

To learn more about Geometry from the given link

https://brainly.com/question/24375372

#SPJ4

After answering the given query, we can state that  So in 200 probability experiments, we would anticipate that 120 times a white counter would be selected.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an occurrence will occur. The likelihood that an occurrence will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as numbers between 0 and 1. the proportion of equally probable choices that actually happen in comparison to all other outcomes when a specific event occurs.

a. It is possible to calculate the percentage of black counters taken from the container as follows:

P(black) = 18/50 = 9/25 where P(black) = number of black counters chosen / total number of trials.

As a result, the odds of selecting a black number are 9/25.

b. Theoretically, the likelihood of selecting a black counter can be computed as follows:

P(black) = # of black counters / # of counters overall = 8 / (8 plus 12) = 2/5

Theoretically, there is a 2/5 chance of choosing a black counter.

c. The following formula can be used to determine how frequently a white marker would be selected in 200 experiments:

E(amount of white counters selected) = P(white) x total trials = (12 / 20) x 200 = 120

So in 200 experiments, we would anticipate that 120 times a white counter would be selected.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The Solution:

Given the table below:

Required:

To find the probability that a student selected at random is a male or got a 'C'.

The required probability is:

In this case,

Substituting, we get

Therefore, the correct answer is 0.650 (3 decimal place)

Answer:

Harry is 7 more years older then larry

Step-by-step explanation:

Harry is 7 more years older then larry because if you sutract 7-14 you get 7

i think the correct answer is C

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression f(x) means that the function y is in terms of x; that is to say that x is the independent variable that will change, as it changes, y changes along with it.  Replacing x with what we want to evaluate the function at is how we solve this.  If we replace x with a 1, our function is:

\(f(1)=2^1+8\)

2 to the 1st power is 2, and add 8 to that and you get that

f(1) = 10

Answer:

its 16

Step-by-step explanation:

Answer:

Find the inverse by doing the opposite.

f^-1(x) = cuberoot(x - 4)

Answer:

I thought the answer is 1.75.

I hope this helps. PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

Answer:

Natural

Step-by-step explanation:

Answer: 3x - 6 (in^2)

Step-by-step explanation:

base * height / 2

=

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

= 3x - 6 (in^2)

Answer: 3x-6 in^2

Step-by-step explanation:

There is no way to figure out what x is without additional information, so you have to leave the answer in this form

Answer:

Part A: x = y+45

Part B: 40 125-45 = 80, 80÷2 = 40

Part C: Yes, because 80+45 adds up to 125.

Hope this helps! :)

Using the associative property we will get the equivalent expression:

45*b

The associative property of the product tells us that we can solve the product in any order we want to.

So we can write:

A*(B*C) = (A*B)*C = (A*C)*B

etc...

Now, the given expression is:

8*(5*b)

Then we can take the product of the two first numbers first, so we write:

8*(5*b) = (8*5)*b = 45*b

Then the equivalent expression to the given one is 45*b

If you want to learn more about equivalent expressions:

https://brainly.com/question/2972832

#SPJ1

Answer:

We can do this with u substitution

\(f(x) = ln(x^4+e^2^x)\\u = x^4+e^2^x\\f(x) = ln(u)\\f'(x) = \frac{u'}{u} \\u' = 4x^3 + 2e^2^x \\f'(x) = \frac{4x^3 + 2e^2^x}{x^4+e^2^x}\)

we can't simplify further

The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem is important as it provides a way to prove the existence of solutions to polynomial equations and provides an analytical tool to find the exact location of the solutions.

This theorem is also known as the algebraic version of the Intermediate Value Theorem as it states that if a polynomial is continuous on a closed interval, then it must take on all values between its maximum and minimum.

The theorem can be easily proven by considering a single-variable polynomial of degree n and transforming it into a polynomial of degree n−1 with the same roots. By repeating this process, the polynomial can be reduced to a constant and hence, it must have at least one root.

know more about Algebra here

https://brainly.com/question/24875240##

#SPJ11

Answer:

y=1/4x+5

Step-by-step explanation:

1/4x is your slope you get from graphing

Answer:

7

Step-by-step explanation:

f(x)=-2x+5

-2(-1)+5

2+5

=7

Answer:

\(q^{2} -4q+2\)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

LOLOL im a atheist. And was born a atheist. who cares if i am sinning, if god cared so much why isnt he here.

Step-by-step explanation: