On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

8.75

Step-by-step explanation:

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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Answer:

The cost of 2 pencils is £1.21, and the cost of 4 pencils is £1.12. This means that for every 2 pencils, there is a difference of £0.09. If we apply this to 1 ruler, we can calculate that 1 ruler would cost £1.65.

Answer:

D. -2x^3 - 14x^2 + 22x

Step-by-step explanation:

1) Remove parentheses.

3x³ - 10x² + 13x - 5x³ - 4x² + 9x

2) Collect like terms.

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)

3) Simplify.

-2x³ - 14x² + 22x

In a two-way ANOVA, the two independent variables are known as factors. Two variables, or factors, are supposed to influence the dependent variable.

First, let's understand what is 2-way ANOVA using 2 factors.

To determine how the values of two categorical factors affect the mean of a quantitative variable, a two-way ANOVA is utilized. When you wish to determine how two independent factors interact with one another to effect a dependent variable, use a two-way ANOVA.

To evaluate if there is a statistically significant difference between the means of three or more independent groups that have been divided on two factors, a two-way ANOVA is utilized.

Given is that the first factor has 4 levels and the second factor has 9 levels.

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Answer:

See below.

I really hope it helps! :)

Step-by-step explanation:

(3, 4) location:

(-2, 6) location:

(5, -5)

(-4, -2)

Point E

Point F

Point G:

Point H:

Sadly, I can't solve the spiral review. I am sorry :(

Answer:

38 students

Step-by-step explanation:

because 19% of 205 is 38.95, but not fully 39 students, so about 38 students

Answer:

kkkkkkkllllll

Step-by-step explanation:

llllllllllllllllllllllllll

Answer:

the expected value EV = −$0.65

Step-by-step explanation:

Expected value EV = expected gain - expected loss

Given;

Cost of a ticket L = $1

Probability of losing the ticket P(L)= 999/1000 = 0.999

Cost of a flat screen TV = $350

Expected gain G = $350 - $1 = $349

Probability of winning the TV P(G) = 1/1000 = 0.001

EV = G × P(G) - L × P(L)

Substituting the values;

EV = $349 × 0.001 - $1 × 0.999

EV = −$0.65

the expected value EV = −$0.65

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

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

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Problem 5

Domain = \(-4 \le x \le 3\)

This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.

The domain in interval notation is [-4, 3]. The square brackets include the endpoint.

--------------

Range = \(-4 \le y \le 5\)

We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.

The range in interval notation is [-4, 5]

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

Problem 6

Domain = \(-2 \le x < 2\)

Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.

The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.

-------------

Range = \(-4 \le y < 4\)

The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.

The range in interval notation is [-4, 4)

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

Problem 7

Domain = \(-4 < x \le 2\)

Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.

The domain in interval notation is (-4, 2]

-------------

Range: \(-4 < y < 4\)

Both endpoints are open holes, so we exclude both endpoints.

The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.

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

Problem 8

Domain = \(-5 < x < 3\)

Domain in interval notation = (-5, 3)

The graph is too blurry to be able to determine the range.

The probability that the hacker guesses the password on their first try is extremely low.

What is the probability that the hacker guesses the password on his first try?

There are 26 lowercase letters, 26 uppercase letters, and 10 numerical digits, for a total of 62 possible characters for each position in the password. Since the password is 9 characters long, there are \(62^{9}\) possible passwords.

The probability that the hacker guesses the password on their first try is 1 out of the total number of possible passwords:

Probability = 1 / (\(62^{9}\))

Using a calculator, this can be simplified to approximately 1.2 x \(10^{-16}\)

Therefore, the probability that the hacker guesses the password on their first try is extremely low.

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Answer:

0.0929

Step-by-step explanation:

thats the answer

Mrs. Moore would earn $839.41 more by investing in simple interest instead of compound interest.

Compound interest occurs when interest earned on savings begins to earn interest on itself. As interest grows, it begins to accumulate more quickly and at an exponential rate.

We can use the following formulas to calculate the interest received in each case:

For the sake of simplicity, I = P r t

where I represents the interest earned

P denotes the principal amount.

r denotes the annual interest rate (as a decimal)

t = number of years

A = P(1 + r/n)(nt) - P for compound interest

where A is the total amount earned (principal + interest)

P denotes the principal amount.

r denotes the annual interest rate (as a decimal)

n = each year, the number of times interest is compounded

t = number of years

Using the values provided:

For the sake of completeness:

r = 0.075 t = 3 years P = $9500

I = 9500 × 0.075 × 3 = $2137.50

Compound interest is calculated as follows:

P = $9500 \sr = 0.045 \sn = 1 (compounded annually) (compounded annually)

3 years = t

A = 9500(1 + 0.045/1)^

(1×3) - 9500 = $10798.09

Earned interest = $10798.09 - $9500 = $1298.09

Mrs. Moore's interest earned is thus $2137.50 for simple interest and $1298.09 for compound interest.

We compare the total amount earned in each case to determine which investment is superior. The total amount earned for simple interest is the principal plus the interest, which is:

$9500 + $2137.50 = $11637.50

The total amount earned with compound interest is:

$10798.09

Because $10798.09 is less than $11637.50, the simple interest investment is preferable.

The difference in interest received is as follows:

$2137.50 - $1298.09 = $839.41

Mrs. Moore would earn $839.41 more if she invested in simple interest rather than compound interest.

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Answer:

b

Step-by-step explanation:

\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)

So the root is 3 and the power is 5

finally your answer

\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)

Answer:

X^4

------

 4

Step-by-step explanation:

The simplified expression is 1/4x²  

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x²-5x+11

Given here, the expression is (20x⁻³ / 10x⁻¹)⁻² =2⁻²× x⁻²

                                                                             = 1/4x²

Hence, the simplified expression is  1/4x²

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Answer:

\(|z| = 27\) -- Modulus

\(\theta = \frac{\pi}{3}\) --- Argument

Step-by-step explanation:

Given

\(((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6\)

Required

Determine the modulus and the argument

We have that:

\(z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6\)

Expand:

\(z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6\)

\(z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6\)

A complex equation can be expressed as:

\(z = |z| e^{i\theta}\)

Where

\(|z| = modulus\)

\(\theta = argument\)

Where

\(e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})\)

So:

\(z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6\) becomes

\(z = 27(e^{i\frac{\pi}{18}})^6\)

By comparison:

\(e^{i\theta} = (e^{i\frac{\pi}{18}})^6\)

This gives:

\({i\theta} = i\frac{\pi}{18}}*6\)

\({i\theta} = i\frac{6\pi}{18}}\)

\({i\theta} = i\frac{\pi}{3}}\)

Divide through by i

\(\theta = \frac{\pi}{3}\)

Hence, the modulus, z is:

\(|z| = 27\)

And the argument \(\theta\) is

\(\theta = \frac{\pi}{3}\)

Answer: C. M=27 A=pi/3

Step-by-step explanation:

edge

Answer:

a

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

not sure how to explain it's kinda hard sorry

Answer:

Yes

Step-by-step explanation:

The given line passes through (0,10) and (2,0), so its slope is

\(\frac{10-0}{0-2}=-5\)

Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.

Substituting into point-slope form,

\(y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}\)

Answer:

712436 eggs were sold together

Step-by-step explanation:

429,382 + 283,054 = 712436

Answer:

  30 mL

Step-by-step explanation:

You are being asked to solve the given equation for the value of x.

__

  0.10x +0.15(50 -x) = 0.12(50) . . . . given

  -0.05x = -0.03(50) . . . . . subtract 0.15(50), combine terms

  x = 30 . . . . . . . . . . . divide by -0.05

Bruce should use 30 mL of the 10% alcohol solution.

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Answer:

0.06

Step-by-step explanation:

The computation of the value of p is shown below;

P in the case (2 points if not fouled) = 0.6

Now Expected points if not fouled is

= 0.6 × 2

= 1.2

Now Expected points from free throw is

0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p

As we can see that 2p would be lower tha  1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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