QUESTION 3 1 POINT
A new energy drink advertises 106 calories for 7 oz. How many calories are in 21 oz of the drink?

Answer: Yes

Step-by-step explanation:   Most month have 4 weeks so your right.

Based on the information provided, the missing number, in this case, would be 0.04.

Addition is one of the four main operations used in math, as its name indicates in addition we need to add or combine numbers. Based on this principle, let's add number by number to find the total we have, and then let's use subtraction to find the missing number. This means after we add all the numbers we will subtract the total, which is 35.149.

The process is shown below:

\(30 + 5 = 35\\35 + 0.1 = 35.1\\35.1 + 0.009 = 35.109\\\\35.149 - 35.109 = 0.04\\35.109 + 0.04 = 35.149\)

Therefore the missing number is 0.04.

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Answer:

39.8

Step-by-step explanation:

she has 263 spoons already and needs 398 so if 1 set contains 10 spoons there will be 39.8 sets for 398 spoons

The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.

The probability distribution of Y = X mod (4) can be found as follows:

Y = 0, when X = 0, 4, 8

Y = 1, when X = 1, 5, 9

Y = 2, when X = 2, 6

Y = 3, when X = 3, 7

So, the probability distribution of Y = X mod (4) is:

Y = 0, P(Y = 0) = 3/10

Y = 1, P(Y = 1) = 3/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 2/10

The probability distribution of Y = 6 mod (X + 1) can be found as follows:

Y = 0, when X = 5

Y = 1, when X = 0

Y = 2, when X = 1, 6

Y = 3, when X = 2

Y = 4, when X = 3, 7

Y = 5, when X = 4, 8

Y = 6, when X = 9

So, the probability distribution of Y = 6 mod (X + 1) is:

Y = 0, P(Y = 0) = 1/10

Y = 1, P(Y = 1) = 1/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 1/10

Y = 4, P(Y = 4) = 2/10

Y = 5, P(Y = 5) = 2/10

Y = 6, P(Y = 6) = 1/10

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The term refers to a thorough count, often known as a comprehensive enumeration.

Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.

A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.

The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.

The correct answer is option C. A study of the durability of earthquake-proof building materials.

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Answer: John got 24 votes and Will got 12.

Step-by-step explanation:

24+12=36 12*2=24 so 24 is twice as much as 12.

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Solution :

68 % of the students owns iPod and a smart phone. So

p' = 0.68

q' = 1'

   = 1 - 0.68

   = 0.32

Since CL = 0.97, we know that \($\alpha = 1 - 0.97 = 0.03 $\)

The area to the left of \($z_{0.015}$\) is 0.015 and the area to the right of  \($z_{0.015}$\)  is \($1 - 0.015 = 0.985 $\)

Thus using \($TI \ 83, 83+ \ or \ 84+$\) calculator function \($\text{InvNorm} (0.985, 0.1), z_{0.015} = 2.17$\)

\($\text{EBP} = z_{\alpha / 2} \times \left( \sqrt{\frac{p'q'}{n}}\right) $\)

\($\text{EBP} = 1.645 \times \sqrt{\frac{0.68 \times 0.32}{300}} $\)

       = 0.0269

Therefore, we are ninety seven percent confident that a true proportion of all the students who has iPod as well as a smart phone is between the 0.6531 and 0.7069

a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.

b). Now,

Press the 'STAT' and then arrow over to perform TEST.

Now arrow down to the A:1 - PropZint and then place Enter.

Arrow a down x and then enter the 300 x 0.68

Similarly arrow  a down to given n and then enter the 300

Now arrow down to the C-level and the enter the 0.97

Arrow a down for calculating and press the enter button.

The confidence interval is (0.6531, 0.7069)

a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.

Answer:  D. 7

Step-by-step explanation:

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r  , where r is the circle's  radius

So C=2*4.5*π=9*π= approx   3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD),  where arcBC and arcAD smaller arcs

BD is the circle's  diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

Answer:

12

Step-by-step explanation:

The ratio is 9:30

So for 40 people , it would be ?:40

Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas

Answer:

12 i think

Step-by-step explanation:

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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The time taken for the rocket to reach its maximum height as required in the task content is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Answer:28.26

Step-by-step explanation:kid use pi r^2

Answer:

Your answer would be D, or option four. Reason i choose this is because it stops at two. Other answers go up or down too much.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Have a nice day :)

Answer:

x ≥ 1

Step-by-step explanation:

Solving inequalities are essentially like solving equations where the main focus is getting the variable, x in this case, on one side and a constant on the other using inverse operations.

10x+16 ≥ 6x+20

==> subtract 16 from both sides

10x ≥ 6x + 4

==> subtract 6x from both sides

4x ≥ 4

==> divide both sides by 4

x ≥ 1

So the answer would be A

Also an important note for future references is when you divide one of the sides by a negative number you must flip the inequality sign.

E.g. -4x>8

We would divide both sides by -4 and because we divide by a negative number we must flip the inequality signs

This would result to x<-2

Answer:

It is 2707.1209

Step-by-step explanation:

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

837.67.

Step-by-step explanation:

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

  D)  9 square units

Step-by-step explanation:

The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.

The maximum area of the rectangle is 9 square units.

Answer:

9 square units

Step-by-step explanation: