Jane and Rob go to the local cafe to have breakfast. A single chocolate muffin has 290 calories, and a blueberry muffin has 270 calories. Both muffins can be bought at the local cafe. The fruit platter has 190 calories and the french toast has 350 calories. A glass of orange juice is 40 calories and milk is 102 calories. The hashbrowns and eggs have twice the calories of the fruit platter. Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast. Rob has hash browns and eggs with a half glass of orange juice.

What was the smaller amount of total calories consumed, between Jane and Rob? Round to the nearest whole calorie. Do not include units in your answer. For example, if the answer is 19 calories, put 19.

The question is incomplete hence, I gave you a similar question that will enable you to understand how to treat Linear Equations with Decimals.

This is best exemplified by the example below:

\(\left\{ \begin{array}{cl}0.2x-0.3y = 1.3 \\0.5x + 0.2y= 2.3\end{array} \right.\)
e

Solution

Step 1 - Remove all decimals by multiplying equation 1 and 2 by 10. This gives us:

\(\left\{ \begin{array}{cl}2x-3y = 13 \\5x + 2y= 23\end{array} \right.\)


Now we have an equation without decimals.

Step 2 - we proceed to solve by elimination.

Assuming:

2x - 3y = 13 ............is  Equation 3; and

5x -2y = 23 ............. is Equation  4;

Lets multiply equation 3 by 2; and equation 4 by 3. This gives us

⇒ 4x - 6y = 26 ...............5

   15 x + 6y = 69..............6


step 3 - Add equation 5 and 6 to eliminate y.

4x - 6y = 26

15 x + 6y = 69
19x = 95

solving for x

= 95/19

x = 5


Step 4 - Substitute x into any of the equations to find the value of Y


Using equation 5, we have:

4x - 6y = 26

⇒ 4(5) - 6y = 26

⇒ 20 - 6y = 26
⇒ -6y = 26-20
⇒ y = 6/-6

∴ y = -1

In summary, x = 5; y = -1


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Answer:

12x8+5=101/8

101/8-74/5

40/8=5

5x101=505

40/5=8

8x74=592

therefore 505/40-592/40=

-87/40=-2.175

Answer:

The correct answer would be 2.175

Step-by-step explanation:

i got it right :))

Answer:

Step-by-step explanation:

according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.

1/2FG= 15, SO FG=30,

1/2 GH=36 SO GH=72

AREA = 1/2(72*30)=1080 CM^2

Answer:

1/2(72*30)=1080 CM^2

Step-by-step explanation:

don't rember how i got it, just remeber having this question on my work.

The probability of getting exactly 3 sevens in those 10 rolls is given by; 1/512

We know that the formula for probability is;

Probability = Number of favorable outcomes/Number of expected outcomes

Now, the die has 8 sides and as such, the die will be labelled from 1 to 7. Thus;

Number of favorable outcomes to get a 7 = 1

Number of expected outcomes = 8

Thus;

P(7 is rolled) = 1/8

Now, we want to find the probability of getting exactly 3 sevens in these 10 rolls = (1/8)³ = 1/512

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The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer:

Step-by-step explanation:

30/34 is .8823 or .88 of a cookie

in 3 hours, she can make 2.647 or 2.7 of a cookie

The required number of cookies made in 3 hours is 2.64.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The number of cookies made in 34 hour is 30.

Now, in order to calculate the number of cookies made in 3 hours unitary method can be used as follows,

In 34 hour the number of cookies = 30

In 1 hour the number of cookies = 30/34

Thus, in 3 hour the number of cookies = 30/34 × 3 = 2.64.

Hence, the number of cookies made with the given rate in 3 hours is 2.64.

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Answer:

y = -3x - 16

Step-by-step explanation:

m = -3 ; (-6 , 2)

Slope point form : y - y1 = m(x -x1)

y - 2 = -3(x - [-6])

y - 2 = -3(x + 6)

y -2 = -3x + 6*(-3)

y - 2 = -3x - 18

    y = -3x - 18 + 2

  y = -3x - 16    

Answer:

d. y = 3x + 5

Step-by-step explanation:

plug x = 2 in the equation y = 3x +5

y = 3*2 + 5

y = 11

so x = 2, y = 11

we know d is the correct statement

Answer:

your question and is d option

let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said

\(\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill\)

\(\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}\)

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

\(2 = ln(4) \)

Step-by-step explanation:

\( {x}^{2} = 4\)

Since the power is 2 and our answer is 4 our natural log equation look like

\(2 = ln(4) \)

Answer:

  (0, 1/5)

Step-by-step explanation:

Since b is 2/5 of the distance from a to c, it is ...

  b = a + 2/5(c -a) = 3/5a +2/5c

  b = (3a +2c)/5 = (3(-8, 3) +2(12, -4))/5 = (-24+24, 9-8)/5 = (0, 1/5)

Point b is (0, 1/5).

Answer:

corresponding angles

Step-by-step explanation:

i dont cap

For the function y = 4x⁵, the value of d⁴y/dx⁴ = 320x.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. We can write -

y = f(x)

y' = dy/dx = (d/dx)[f(x)]

We have the following function -

y = 4x⁵

The given function is -

y = 4x⁵

dy/dx = 20x⁴                             {y = xⁿ, then y' = nxⁿ ⁻ ¹}

d²y/dx² = 80x³

d³y/dx³ = 160x²

d⁴y/dx⁴ = 320x

Therefore, for the function y = 4x⁵, the value of d⁴y/dx⁴ = 320x.

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Answer:

7250%

Step-by-step explanation:

To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.

72 1/2 is equivalent to 72.5 as a decimal.

To convert it to a percentage:

72.5 * 100 = 7250

Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.

let me know it is helpful for you or not

you

11.54 cm

Explanation

Step 1

draw and label

we have a right triangle, then

Step 2

Let

hence, we need a function that relates those values, it is sine function:

The sine function is a periodic function which is very important in trigonometry, it says for a rigth triangle, the sine of angle is the ratio of opposite side to hypotenuse: so

finally, replace and solve for h

therefore, the hypotenuse is

11.54 cm

I hope this helps you

Answer:

i think A is a function because when you search what it looks like it looks kind of like A so i am sure it is A

Step-by-step explanation:

The amount of money that Jordan has left is given as follows:

C) $11.

The amount left is given by the subtraction of the total amount that he has by the amount spent.

The total amount that Jordan has is given as follows:

$50.

The costs of each item are given as follows:

He buys 2 bags of dog food, 3 bags of bird seed, and 3 bags of cat treats, hence the amount spent is calculated as follows:

2 x 6 + 3 x 4 + 3 x 5 = $39.

Then the amount remaining is calculated applying the subtraction as follows:

50 - 39 = $11.

(subtraction of the total amount in the beginning by the amount spent).

Meaning that option C is correct.

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Explanation:

When solving a product, if the number of negative factors is even the result will be positive. If it's odd then the result will be negative.

In this case we have to multiply three negative numbers, which is an odd amount. Therefore the result is negative. We can solve the multiplication as if all the numbers were positive and then add the negative sign to the result:

Answer:

(-4)(-19)(-2) = -

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

a.

\(\displaystyle \lim_{x\to2^-}f(x) = 3\)

b.

\(\displaystyle \lim_{x\to2^+}f(x) = 1\)

c.

\(\displaystyle \lim_{x\to2} f(x) = \text{DNE}\)

d. The filled circle tells you what the value of \(f\) is at \(x=2\).

\(f(2) = 3\)

e.

\(\displaystyle \lim_{x\to4}f(x) = 4\)

f. There is no filled circle included here, hence to value assigned to \(f(4)\).

\(f(4) = \text{DNE}\)

Answer:

f (2) = DNE

f (4) = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

2.5

Step-by-step explanation:

4x2.5=10