Two of the angles in a triangle measure 177º and 2º. What is the measure of the third angle?

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We calculate the derivative as follows:

Answer:

2+2=4

6+6= 12

794*890*572*89=33145180640

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

-8x - 5y = -1

-8(2) -5y = -1

-16 -5y = -1

-5y = 15

y = -3

Slope intercept form: y = mx+ b

m = slope

b = y-intercept

Since we don't have "b", thats what we need to solve for.

-4 = -3/4(8) + b

-4 = 6 + b

-10 = b

Put everything we know back into the original form.

y = -3/4x - 10

Best of Luck!

Answer:

21 and 36

Step-by-step explanation:

So we would start by setting up an equation like x + x = 57 only we know that the larger number is 15 more than the smaller number so we would change it to x + x+15 = 57 so 2x + 15 = 57. Now simply solve and 2x = 42. Divide and x is equal to 21 so the smaller number is 21. The larger number is 15 more than the small so 15 + 21 is equal to 36. The two numbers would be 21 and 36.

Answer:

The unit rate is $4 for 1 pound of rice.

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

$4 per pound

Step-by-step explanation:

Unit rates are in terms of 1.

8/2 = 4

So $8 for 2 pounds is equivalent to $4 for 1 pound.

The values of p₂ = 0.00057  and the value of q₂ = 0.99943.

In this problem, we can consider the vaccine treatment group to be the first sample (sample 1), and the placebo group to be the second sample (sample 2).

n₁ = 196925 (the size of sample 1)

x₁ = 29 (the number of successes in sample 1)

p₁ = x₁/n₁ = 29/196925 ≈ 0.00015 (the proportion of successes in sample 1)

q₁ = 1 - p₁ ≈ 0.99985 (the proportion of failures in sample 1)

n₂ = 195802 (the size of sample 2)

x₂ = 112 (the number of successes in sample 2)

p₂ = x₂/n₂ = 112/195802 ≈ 0.00057 (the proportion of successes in sample 2)

q₂ = 1 - p₂ ≈ 0.99943 (the proportion of failures in sample 2)

p = (x₁ + x₂)/(n₁ + n₂) = (29 + 112)/(196925 + 195802) ≈ 0.00044 (the overall proportion of successes)

Note that p is a weighted average of the sample proportions p₁ and p₂, with the weights proportional to the sample sizes n₁ and n₂.

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Answer:

3

Step-by-step explanation:

6 (3x+5)=6 (3x)+6 (5)

=18x+30

DISTRIBUTIVE LAW OF ADDITION

Answer:

#3

Step-by-step explanation:

6(3x+5) = 6(3x) + 6(5) = 18x +30

Can I have brainliest please..? hee hee

The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer: Vertical angles are formed by the intersection of two lines and are always equal in measure. Therefore, to find the angle that is vertical to angle ∠DEB, we need to look for another angle that has the same measure as ∠DEB.

Unfortunately, we do not know the measure of angle ∠DEB, so we cannot determine which angle is vertical to it based on the given information.

Therefore, the correct answer is: None of the angles can be determined as vertical to angle ∠DEB without additional information.

Step-by-step explanation:

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan x = 8/10

taking the inverse tan of each side

x = tan ^-1 (8/10)

x=38.65980825

To the nearest tenth

x = 38.7

SRS stands for Simple Random Sample. It consists of selecting a subgroup (of 5 students for this case), while each member of the whole population (80 students for this case) has the same probability of being selected.

That could be done by assigning each individual of the population a number, and then randomly generate a set of numbers to select the subgroup.

In this case, we can assign each of the 80 students a number, and generate 5 random numbers. Those 5 random numbers have to be two-digit numbers since we have more than 10 students.

We can assign numbers from 01 to 80 to each student, and select the first 5 pairs of numbers of the randomly generated set of digits found: 05166 29305 77482.

Let's separate the digits in pairs:

05 16 62 93 05 77 48 2.

We can discard the 2 at the end because it has only one digit:

05 16 62 93 05 77 48

The first five students would be the ones labelled with:

05, 16, 62, 93 and 05.

We have 05 twice, so we can delete it and replace it with the sixth pair of numbers (77):

05 16 62 93 77.

One of the selected numbers is 93, which is outside the range. The selected numbers should be lower than 80. Then, we can discard the 93, and replace it with the seventh pair of the randomly generated digits:

05 16 62 77 48.

Now we have the numbers of the 5 selected students after using the given digits to perform a Simple Random Sample.

The numbers of the selected students are 05, 16, 62, 77 and 48.

This is a fair selection since from the set of randomly generated digits, the probability of obtaining a pair of digits forming a number from 01 to 80 is the same for each of the 80 numbers.

because it's value will always be same

Answer:

This value doesn't depend on x or y

It'll be the same things always

Answer:

i did this in 8th grade. (I'm homeschooled)

Step-by-step explanation:

Heres the best i got

Answer: 15

Step-by-step explanation: r=V

πh=10597.5

π·15≈14.9962

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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\(x=\frac{1+4f-\sqrt{16f^{2}+8f+25 } }{2}\)

the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.

716 - 572 = 144

Step-by-step explanation:

1. Given: a = 4t + 4

We know that

\( a = \frac{dv}{dt} \: \: or \: dv = adt\)

By definition, the integral of a power function x^n is

\( \int {x}^{n} dx = \frac{ {x}^{n + 1} }{n + 1} + k\)

Integrating the acceleration a, we get

\(v = \int adt = \int(4t + 4)dt = 2 {t}^{2} + 4t + k\)

where k = constant of integration. We know that v = 10 when t = 0 so when we do the substitution, we get k = 10 therefore, the final expression for v is

\(v = 2 {t}^{2} + 4t + 10\)

To find s, we need to integrate v. Knowing that

\(v = \frac{ds}{dt} \: \: or \: s = \int v \: dt\)

\(s = \int(2 {t}^{2} + 4t + 10)dt\)

\( = \frac{2}{3} {t}^{3} + 2 {t}^{2} + 10t + k\)

where k once again is the constant of integration. We know that s = 2 when t = 0, which gives us k = 2. Therefore, the final expression for s is

\(s = \frac{2}{3} {t}^{3} + 2 {t}^{2} + 10t + 2\)

2. The potential difference V between two boundaries a and b is given by

\(V = \frac{q}{2\pi \epsilon_0 \epsilon_r} \int_{b}^{a} \frac{dr}{r} \)

Note that the integral in the expression above can be rewritten and the integrated as

\( \int_{b}^{a} \frac{dr}{r} =\int_{b}^{a} {r}^{ - 1} dr = \ln |a| - \ln |b| \)

so the potential difference V is then J

\(V = \frac{q}{2\pi \epsilon_0 \epsilon_r} \int_{b}^{a} \frac{dr}{r}\)

\( = \frac{2 \times {10}^{ - 6} }{2\pi (8.85\times {10}^{ - 12}) (2.77)}( \ln |20| - \ln |10| )\)

\( = 9000 \: V\)

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Step-by-step explanation:

whoever created the original question and then probably the people copying it need to focus on writing these things correctly.

I assume this means

log(9) - log(4) ÷ log(3) - log(2)

or is anything combined in brackets ? like it could be e.g. log(4 ÷ log(3)). just as example.

and I guess we mean logarithm to the base of 10, right ?

anyway, if my assumptions are correct, then we only need to follow the regular priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so, we need to start with the division in the middle, and then do the subtractions.

log(4) ÷ log(3) = 1.261859507...

log(9) - 1.261859507... = -0.307616998...

-0.307616998... - log(2) = -0.608646993...

or was the original question

(log(9) - log(4)) ÷ (log(3) - log(2))

?

that would be way more interesting.

we use the rules of logarithm :

e.g.

log(a×b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

so, we have then

log(9/4) ÷ log(3/2)

and that is equal to

log(3/2 × 3/2) ÷ log(3/2)

(log(3/2) + log(3/2)) ÷ log(3/2) = 1 + 1 = 2

if that is the case, you really, REALLY need to pay more attention to brackets and other symbols in problem definitions.

Answer:

138 grams of zinc

Step-by-step explanation:

Zinc : copper = 3 : 19

Let amount of zinc = 138 grams

3 : 19 :: x : 874

Product of means  = product of extremes

19 * x = 3 * 874

      x = \(\frac{3*874}{19}\)

      x = 3 * 46

Zinc = 138 grams

\(\underline{\underline{\sf \bigstar \qquad Solution \qquad \: \bigstar}} \\ \)

Let weight of copper be 3x and weight of zinc be 19x.

☯ \(\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\\)

\(:\implies \textsf {Total weight = weight of copper + weight of zinc} \\ \\ \\ \)

\(:\implies \textsf {Total weight = 3x +19x} \\ \\ \\ \)

\(:\implies \underline{ \boxed{ \textsf {Total weight = 22x}}} \\ \\ \\ \)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━

\(\dashrightarrow\:\:\textsf{ Weight of chemical = weight of zinc + weight of copper} \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 22x = 3x + 19x \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 22x = 3x + 874 \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 22x - 3x = 874 \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 19x = 874 \\ \\ \\ \)

\(\dashrightarrow \: \: \sf x = \dfrac{874}{19} \\ \\ \\ \)

\(\dashrightarrow \: \: \underline{\boxed{ \sf x = 46}} \\ \\ \\\)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

\(\bigstar\:\underline{\frak{Finding \: the \: weight \: of \: the \: zinc \: in \: a \: chemical : }}\)

\(\longrightarrow\:\:\sf weight \: of \: zinc = 3x \\ \\ \\ \)

\(\longrightarrow\:\:\sf weight \: of \: zinc = 3 \times 46 \\ \\ \\ \)

\(\longrightarrow\:\: \underline{ \boxed{\sf weight \: of \: zinc =138 \: grams}} \\ \\ \\ \)

\(\therefore\:\underline{\textsf{The chemical contains \textbf{138 grams}} \textsf{ of zinc}}. \\ \)

Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. \(-\frac{1}{5} x+\frac{4}{5}\)

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

\(\frac{x+4}{-5}\) = y  can be rewritten as \(-\frac{1}{5} x+\frac{4}{5}\)

4. Write in inverse notation:

f(x) = \(-\frac{1}{5} x+\frac{4}{5}\)

Therefore, B is the answer.

Answer:

P= 4s

P= 4(45)

P= 180 in.

Explanation: write down the formula first. Then write down P= 4s, but change the "s" to the 45. Then multiply 45 by 4 then you have your answer. If your teacher ask you for an degrees it will be 180°. Which is also the sum of a triangle.

The value of the cash flows four years from today is $22,609.26.

The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.

The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.

The value of the cash flows four years from today is $22,609.26.

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