A new health drink has 130​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamin are in the​ drink?

The probability of spinning a white and an A on the first spinner is 1/4. This means that the probability of spinning a white and an A on the first spinner is 1 out of 4 or 25%.

The probability of spinning a striped and an A on the second spinner is 3/4. This means that the probability of spinning a striped and an A on the second spinner is 3 out of 4 or 75%.The probability of spinning a striped and an A on both spinners is the product of the probabilities of spinning a striped and an A on both spinners. This means the probability of spinning a striped and an A on both spinners is 3/16 or 18.75%.The probability of spinning a white and a ~A on the second spinner is 1/4. This means that the probability of spinning a white and a ~A on the second spinner is 1 out of 4 or 25%.In conclusion, the probability of spinning a white and an A on the first spinner is 25%, the probability of spinning a striped and an A on the second spinner is 75%, the probability of spinning a striped and an A on both spinners is 18.75%, and the probability of spinning a white and a ~A on the second spinner is 25%.

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Answer:

Step-by-step explanation 1 and 4

Answer:

a and d

Step-by-step explanation

Which ordered pairs show the location of the Empire State Building? Check all that apply.

The constant of proportionality for the relationship between x and y is 1.5 respectively.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

To get the value of "k" in direct proportionality, use the equation b = ka.

K = b/a is the result of this equation. mentioning indirect proportion To determine the value of "k" in indirect proportionality, use the equation b = k/a.

So, the formula to find the constant of proportionality:

k=y/x

Now,

Insert values as follows:

k=y/x

k=0.750/0.50

k=1.5

Therefore, the constant of proportionality for the relationship between x and y is 1.5 respectively.

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Answer:answer c

Step-by-step explanation:

Answer:

306

Step-by-step explanation:

Answer: A prime is (-4,-5). B prime is (0,-1). C prime is (1,-5)

Step-by-step explanation:

You can either count three units to the right and from there 7 units down from each point to find its prime, or alternatively from each original x,y value of each point you can add 3 to the x value (because it wants you to move 3 units to the right and subtract 7 from the y value (because it wants you to move down 7 units).

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

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Answer:

where is the rational expression

you need to upload a picture

Step-by-step explanation:

i will answer once you upload the picture

From the given expression, we concluded that;

1) The entire expression is a sum with the four terms a  b,1, and 2c.

2) On its own, 2c is the product of 2, and c.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Here, we have

The function that has been identified and written in the question is a + (b+1) + 2c.

We can see that there are three separate terms that have been shown to be part of this function and they are a, b+1, and 2c.

Hence, from the given expression, we concluded that;

1) The entire expression is a sum with the four terms a  b,1, and 2c.

2) On its own, 2c is the product of 2, and c.

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Answer:

the answer is actually 3 terms and 2 factors

Step-by-step explanation:

no need for explaining, just khan ;)

start by writing the principals into an equation

There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form

\(y=a(x+1)^3 (x-2)^2\)

Since the y-intercept is 4,

\(4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}\)

Step-by-step explanation:

i d like to help but i fon knoeww

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

she has -4.5 by the third round

Step-by-step explanation:

she starts off with a negative 2.3 of you add positive 4.5 you would get 2.2 but then she loss a other 6.7 points so that leave her in dept. with a negative 4.5

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\(\frac{1}{tb}\) = \(\frac{1}{t1}\) + \(\frac{1}{t2}\), where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\(\frac{1}{tb}\) = \(\frac{1}{5}\) + \(\frac{1}{10}\)

\(\frac{1}{tb}\) = \(\frac{4}{20}\) + \(\frac{2}{20}\)

\(\frac{1}{tb}\) = \(\frac{6}{20}\)

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

Step-by-step explanation:

y =mx + c

y = 4x + c

-1 = 4 × -2 + c

c = -1+8

c = 7

y = 4x + 8

.............. :)

Answer:

                                                  Elimination:

-4x - 2y = -18                            -4x - 2y   = -18

x + 3y   = 8        | ×4   ------>      4x + 12y = 32  +

                                                          10y = 14

                                                              y = 1,4

x + 3y = 8

x + 3(1,4) = 8

x + 4,2 = 8

x = 3,8

Answer:

the average times per week that college students across the nation eat out lies within these 95% confidence interval

      \( 3.938  <  \mu < 4.062 \)

Step-by-step explanation:

From the question we are told that

    The sample size is n =  1501

    The sample mean  is  \(\= x = 4\)

      The standard deviation is  \(\sigma = 1.5\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>   \(E = 1.96  *  \frac{1.5 }{\sqrt{1501} }\)

=>   \(E = 0.06196 \)

Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is  mathematically represented as

      \(\= x -E <  \mu <  \=x  +E\)

      \(4  -0.06196  <  \mu < 4  + 0.06196\)

=>   \( 3.938  <  \mu < 4.062 \)

Hence the true average times per week that college students across the nation eat out lies within this interval

Answer:

Step-by-step explanation:

Answer:

a)  963g

b) 17

Step-by-step explanation:

i) Now we must first find the common difference of the AP

d = 7.8 -6 = 1.8

Now the sum of the AP gives the total amount of chemical used for 30 experiments

Sn = n/2 [2a + (n-1)d]

n= 30, a = 6, d= 1.8

Sn = 30/2[2(6) + (30-1) (1.8)]

Sn = 15[12 + 52.2]

Sn = 963g

ii)For the G.P the common ration is (r)= 7.8/6 = 1.3

Since r>1, sum of GP = a (r^n -1)/r-1

If sum =  1800g

1800= 6(1.3^n -1)/1.3 - 1

1800 = 6(1.3^n -1)/0.3

1800 * 0.3  = 6(1.3^n -1)

540 = 6(1.3^n -1)

540/6 = (1.3^n -1)

90 = 1.3^n -1

90 + 1 = 1.3^n

1.3^n = 91

log 1.3^n = log 91

nlog1.3 = log 91

n = log91/log 1.3

n = 1.959/0.114

n = 17

Answer:

a)  963g

b) 17

Step-by-step explanation:

i) Now we must first find the common difference of the AP

d = 7.8 -6 = 1.8

Now the sum of the AP gives the total amount of chemical used for 30 experiments

Sn = n/2 [2a + (n-1)d]

n= 30, a = 6, d= 1.8

Sn = 30/2[2(6) + (30-1) (1.8)]

Sn = 15[12 + 52.2]

Sn = 963g

ii)For the G.P the common ration is (r)= 7.8/6 = 1.3

Since r>1, sum of GP = a (r^n -1)/r-1

If sum =  1800g

1800= 6(1.3^n -1)/1.3 - 1

1800 = 6(1.3^n -1)/0.3

1800 * 0.3  = 6(1.3^n -1)

540 = 6(1.3^n -1)

540/6 = (1.3^n -1)

90 = 1.3^n -1

90 + 1 = 1.3^n

1.3^n = 91

log 1.3^n = log 91

nlog1.3 = log 91

n = log91/log 1.3

n = 1.959/0.114

n = 17

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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Answer:

Here is the answer. Solved

Answer:

Step-by-step explanation:

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

Answer:

Only student 2

Step-by-step explanation:

Answer: B

Step-by-step explanation: I took the test

The linear function there after 18 minutes of calls, then the credit was = $29

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that,

Slope = -0.16

There linear function is $29.00 in credit remaining on the card after 25 minutes of calls

There after 18 minutes of calls?

Slope m = -0.16

Let us assume,

x = 25 minutes

y = $29.00 in credit

Substitute this values,

So,

We can write,

y = mx + b

$29.00 = (-0.16) (25) + b

$29.00 = -24.84 + b

b = $29.00 + 24.84

b = $53.84

We can substitute b value,

y = mx + b

y = (-0.16) x + $53.84

y = \(-0.16x\) + $53.84

y = (-0.16)(25) + $53.84

y = -24.84 + $53.84

y = $29

Therefore,

The linear function there after 18 minutes of calls, then the credit was = $29

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Answer:

24 pints

Step-by-step explanation:

if 1 gallon is = to 8

then 3 gallons is 24

There are 24 pints in 3 gallons.

To determine how many pints are in 3 gallons, we can use the conversion factor provided: 1 gallon equals 8 pints.

Step 1: Calculate the number of pints in 1 gallon.

Since 1 gallon equals 8 pints, we can write this as 1 gallon = 8 pints.

Step 2: Multiply the number of pints in 1 gallon by the number of gallons.

To find the number of pints in 3 gallons, we multiply the number of pints in 1 gallon (8 pints) by 3 gallons:

3 gallons × 8 pints/gallon = 24 pints.

Therefore, there are 24 pints in 3 gallons.

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linear equation

hope it helps

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Step-by-step explanation:

The first one is yes.

The second one is no.

The third one is yes.

The forth one is no.

Answer:

x=7/2

Step-by-step explanation: