considering an 8-oz serving size, 1 serving each of brewed coffee, red bull energy drink, and mountain dew soda collectively contain 197 mg of caffeine. one serving of brewed coffee has 6mg more than two servings of mountain dew. one serving of red bull contains 37 mg less caffeine than the total amount of caffeine in one serving each of brewed coffee and mountain dew. find the amount of caffeine in one serving of each beverage.

Slide curve together,if it look like a happy face

Happy = positive/a>1

Slide curve together, if it look like a sad face

Sad = negative/a<1

The specific value that the mean reading speed of a random sample of second-grade students will exceed cannot be determined solely based on the given information.

The statement mentions a "chance" but does not provide any specific information about the distribution or standard deviation of the reading speeds. Without knowing the variability of the data, it is not possible to determine a precise value that the mean reading speed will exceed.

To estimate the value, we would need additional information such as the standard deviation or a confidence interval. With this information, statistical techniques such as hypothesis testing or confidence intervals could be used to determine the likelihood of the mean reading speed exceeding a particular value.

Therefore, without more information, we cannot determine the exact value that the mean reading speed of a random sample of second-grade students will exceed. The statement implies that there is a possibility, but without additional data or assumptions, it is not possible to provide a specific value.

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Aurora has 10 camels, Lily has 5 camels, and Maja has 4 camels.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

The total number of camels left by the pharaoh is 19.

Aurora, the eldest daughter, receives 1/2 of the camels:

1/2 x 19 = 9.5 camels

As we cannot divide a camel in half, we can round it up or down. In this case, we will round it down to 9 camels.

Lily, the middle daughter, receives 1/4 of the camels:

1/4 x 19 = 4.75 camels

We will round down to 4 camels.

Maja, the youngest daughter, receives 1/5 of the camels:

1/5 x 19 = 3.8 camels

We will round down to 3 camels.

The uncle lends them one camel.

Therefore, Aurora has 9 + 1 = 10 camels, Lily has 4 + 1 = 5 camels, and Maja has 3 + 1 = 4 camels.

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Answer: ABCD is a parallelogram because if one pair of opposite sides of a quadrilateral are both congruent and parallel, the quadrilateral is a parallelogram. AE ≅ CE because the diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The given scenario represents an exponential function because Luis doubles the amount he saves each week, which results in a constant multiplicative factor.

An exponential function is a mathematical function in which the independent variable appears as an exponent.

In this case, Luis doubles the amount he saves each week, which means his savings increase by a constant multiplicative factor of 2. Starting with $15, his savings would be $30 after one week, $60 after two weeks, $120 after three weeks, and so on.

This exponential growth is characterized by a consistent doubling of the savings amount each week, indicating an exponential function.

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Based on the provided conditions, Reesa can make a total of 20 different two or three scoop ice cream cones using the available flavors.

To determine the number of two or three scoop ice cream cones Reesa can make if she can choose from chocolate, mint chip, vanilla, maple walnut, and pistachio, we can use the combinations formula. The combinations formula calculates the number of ways to choose k items from a set of n distinct items, where order does not matter and repetition is not allowed.

To apply the combinations formula, we need to know the number of distinct items in our set, which is 5, and the number of items we want to choose, which can be 2 or 3.For two scoop ice cream cones, we need to choose 2 flavors from 5 distinct flavors. The number of combinations is given by: C(5,2) = 10

This means that Reesa can make 10 different two scoop ice cream cones using the available flavors.For three scoop ice cream cones, we need to choose 3 flavors from 5 distinct flavors. The number of combinations is given by: C(5,3) = 10 This means that Reesa can make 10 different three scoop ice cream cones using the available flavors.

To find the total number of two or three scoop ice cream cones, we add the number of two scoop cones to the number of three scoop cones:10 + 10 = 20 Therefore, she make a total of 20 different two or three scoop ice cream cone.

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Answer:

-2 leis.

Step-by-step explanation:

212 * 14 = 2,968 leis

2,968/30 = 99 boxes

99*30=2970

2968-2970=-2

There is a problem with the wording of this question. There isn't a total so it's really confusing...

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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Answer:

%130 percent increase

Step-by-step explanation:

To find the percentage, divide 39 by 30. This gives you the number that is multiplied with 30 to get 39. The answer is 1.3. Then, convert to a percentage by moving the decimal two places to the right. This gives you %130.

I hope this helps :)

Here is the complete question.

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next three months, and the starting balance for month 4 in the table below.

a) What is the total of minimum payments?

b) What is the total sum of the finance charges?

c) How much does the starting balance decrease after these three payments?

d)The total of your finance charges is what percent of our total payments?

Answer:

Step-by-step explanation:

Month       Beginning        Finance          New               Minimum

                  Balance          Charge            Balance        Payment

1          $ 1200             24.99           1224.99            36.75

2          1188.24             24.75          1212.99            36.39

3          1176.60             24.50           1201.10            36.03

4          1165.07             24.26           1189.33             35.68

a.

The total minimum payments for 3 months = 36.75 + 36.39 + 36.03

The total minimum payments for 3 months = $ 109.17

b.

Total finance charges for 3 months = 24.99 + 24.75 + 24.50

Total finance charges for 3 months = $ 74.24

c. The starting balance decrease from 1200 to 1165.07, this implies that there is a reduction of $ 34.93

d. The total of finance charges = 74.24×(100/109.17)

The total of finance charges = 68% of total payments.

Answer:

69.1 ft

Step-by-step explanation:

A circle has 360 degrees.

The arc we are finding the length of is 330 degrees.

Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)

Let's find the circumference of the entire circle.

Circumference is πd.

The radius of the circle is 12ft.

Diameter is double of radius.

12*2=24

The diameter is 24.

Plug that in.

24π=75.36 when using 3.14 for π

Multiply that by 11/12.

11/12*75.36=69.08

Round 69.08 to nearest tenth.

69.1

Keywords:

Circle

Circumference

Arc

Diameter

Radius

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Answer:

\( = \frac{2.408 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 4\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

2.408 x 10²⁴  divided by 6.02 x 10²³ is 4

A division is a process of splitting a specific amount into equal parts.

We have to divide 2.408 x 10²⁴ by  6.02 x 10²³

Two point four zero eight into ten to the power of twenty four by six point zero two into ten to the power of twenty three.

2.408 x 10²⁴/6.02 x 10²³

Firstly let us divide the decimal numbers

0.4×10²⁴/10²³

The exponential digit in denomiantor turns to negative numerator

0.4×10²⁴⁻²³

Zero point four into ten

0.4×10

4

Hence we get four when we divide 2.408 x 10^24 by 6.02 x 10^23

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Using proportions, it is found that the unit rate is of 1.33 cups of brown sugar for a batch of cookies.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

2/3 cups of brown sugar are used for half a batch of cookies. The unit rate is the amount used for one batch. Hence, the rule of three is given by:

2/3 cups - 1/2 batch

x cups - 1 batch.

Applying cross multiplication:

\(\frac{1}{2}x = \frac{2}{3}\)

\(x = \frac{4}{3}\)

The unit rate is of 1.33 cups of brown sugar for a batch of cookies.

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There are 15 rows of seats in the theater

The given parameters are:

The number of rows is calculated as:

Rows = Total number of people/People per row

This gives

Rows = 357/24

Evaluate the quotient

Rows = 14.875

Round up the number

Rows = 15

Hence, there are 15 rows of seats in the theater

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Answer:

D

Step-by-step explanation:

Answer:  D. No, it asks only the girls in the shop

Erica's survey leaves out the boys which means the boys are completely under-represented while the girls are over-represented. The population consists of boys and girls. This means the sample needs to have the same proportional mix of those genders (ie around 50% for each) if you want the sample to be representative of the population.

Answer:51.5 degree

Step-by-step explanation: Since DEF is an isosceles triangle, angle D and F needs to be equal. So substract 77 from 180 and divide by 2.

Answer:

Step-by-step explanation:

let angle D and angle F be x

x+x+77=180 degree(being sum of the interior angle of a triangle)

2x=180-77

x=103/2

x=51.2 degree

both angle D and F are 51.2 degree because the base angles of an isosceles triangle are equal.

Answer:

yes it is

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4.5 liters / .25 liters/pcup = 18 pcups

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

To express the area under the graph of f(x) as a limit, we divide the interval [2, 4] into n subintervals of equal width Δx = (4 - 2)/n = 2/n.

Let xi be the right endpoint of each subinterval, with i ranging from 1 to n. The area of each rectangle is given by f(xi)Δx.

By summing the areas of all the rectangles, we obtain the Riemann sum: A = Σ[f(xi)Δx], where the summation is taken from i = 1 to n.

To find the expression for the area under the graph of f(x) as a limit, we let n approach infinity, making the width of the rectangles infinitely small.

This leads to the definite integral: A = ∫[2, 4] f(x) dx.

In this case, the expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

Evaluating this limit would yield the actual value of the area under the curve.

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The number of hours in a week a student played basketball is \(11\frac{3}{8}\).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, One week a student exercised 3 hours at school and another 1/4 of an hour at home.

Also given that 1/4 of the exercise of a student came from playing basketball.

Therefore, Time playing basketball is one-fourth of the total time exercised which is,

= (3 + 1/4)×(1/4).

= (13/4)×(1/4).

= (13/8).

Therefore, In a week the student played (13/8)×7.

= 91/8.

= \(11\frac{3}{8}\).

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Answer:

7.

Step-by-step explanation:

Follow the order of operations.

We do the operation in the bracket first. So we are left with:

2 * (2) + 3

We multiply before we add, so:

4 + 3.

Finally, we add.

7.

I hope this helps!

\(\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \)

\(\rule{200}4\)

\(\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}\)

\(\rule{200}4\)

Answer:

Your solution ..................

•Mr Bradford lunged at his wedding ring as it fell into the WHIRLPOOL of the bathtub drain.

•Sarah's morher CALMED her screaming baby by giving her a teddy bear to hold.

Answer: whirlpool, calmed

Step-by-step explanation:

A vortex looks like a whirlpool

Since the baby is scream giving a teddy bear will probably calm it

\(\sf \bf {\boxed {\mathbb {C. \: 21n + 7}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(7 \: ( \: 3n + 1 \: )\)

➼\( \: 21n + 7\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The surface area of the triangular prism is 152 sq, ft.

A triangular prism is a three-dimensional (3D) object having two identical triangle-shaped faces joined by three rectangular faces. The bases are the triangle faces, while the lateral faces are the rectangular faces. The top and bottom (faces) of the prism are other names for the bases.

The surface area of the triangular prism is given as:

SA = bh + (b1 + b2 + b3)l

Here, b = 6, h = 4, b1 = b2 = 5, b3 = 6 and l = 8.

Substituting the values we have:

SA = (6)(4) + (5 + 5 + 6) (8)

SA = 24 + (16)(8)

SA = 152 sq. ft.

Hence, the surface area of the triangular prism is 152 sq, ft.

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To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.

Prime factorization of 36=2×2×3×3

Prime factorization of 40=2×2×2×5

Prime factorization of 48=2×2×2×2×3

Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.

720seconds=  

60

720

​

minutes=12minutes

Hence, all the bells will ring together after 12 mi

Answer:

9pm or 12 hours from 9am.

Answer:

p.

Step-by-step explanation:

p is the independent variable.

The dependent one is h.

The value of h depends on the value of p.