A recipe requires 3 cups of sugar for every 4 cups of flour results in _/_ of cup of sugar for each cup of flour?

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

The y-intercept of the line is 2

Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.

(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?

Just extrapolate the table to the left, and you will find the y value where x = 0

x 0 8 16 24 32

y 2 22 44 64 84

So the y-intercept of the line is 2.

Extra:

The full equation of the line is:

y = 8/20x + 2

Answer:

(0,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

The linear function that shows the proportional relationship between the distance and time is d = 100t

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

From the table given, we can find the slope of the function by using the formula

m = y₂ - y₁ / x₂ - x₁

m = 300 - 200 / 3 - 2

m = 100

To find the y - intercept,

y = mx + c

300 = 100(3) + c

300 = 300 + c

c = 300 - 300

c = 0

The equation that shows the relationship is

d = 100t

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Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.

Answer: I'm pretty sure its the green rectangle

Step-by-step explanation:

It's just asking you to rewrite it in vertex form. Which would be

\((x + 10) ^{2} - 4\)

Answer:

C

Step-by-step explanation:

4 souffles+10 meringue pies=38 eggs

and 6 meringue pies+8 souffles=34 eggs

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.

Step-by-step explanation:

The solution is 12/13

The probability that the selected card is not an ace but a red card is 12/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of the selected card is not an ace but a red card be P

Now , the equation will be

Mason randomly chooses a card from a standard deck of playing cards

So , the probability that the card is a red card is

There are 26 red cards in the deck of 52 cards

So , the probability of selecting a red card = 26/52

Now , from the 26 red cards , the probability that the card is not an ace would be = 26 - ( Ace of hearts + Ace of diamonds )

And ,

The probability of the selected card is not an ace but a red card P = 24/26

The probability of the selected card is not an ace but a red card P = 12/13

Therefore , the value of P is 12/13

Hence , the probability is 12/13

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Answer:

30w+200=1000

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

its 108

Step-by-step explanation:

27x4=108

Answer:

converting to minutes

Step-by-step explanation:

3*60+20+40+2.75*60=405 min = 6 hours 45 minutes

Answer:

6 hours and 45 minutes

Step-by-step explanation:

2.75 hours = 2 hours and 45 minutes

3 hours 20 minutes

0 hours 40 minutes

2 hours 45 minutes

5 hours 105 minutes

6 hours 45 minutes

Answer:

.....

Step-by-step explanation:

As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).

Confidence interval:

In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.

Given,

According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.

Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.

As per the given question, the value of

Confidence interval = 98%

Number of samples = 4579

Reported numbers = 914

Therefore, the number of failure is calculated as,

=> 4579 - 914

=> 3665

Here the sample proportion is the number of successes divided by the sample size:

=> 941/4579

=> 0.1996

Here for confidence level 1 − α = 0.98,

We have to determine zα / 2 ​= z0.01​ using the normal probability table in the appendix, we get

zα/2 ​= 2.33

Then the margin of error is calculated as,

E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579

E = 0.0137

Then the boundaries of the confidence interval are then:

p⁻ˣ = 0.1996−0.0137 = 0.1859

p⁺ˣ = 0.1996+0.0137 = 0.2133

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9514 1404 393

Answer:

  3 times

Step-by-step explanation:

We observe that both functions are vertically scaled versions of the parent quadratic y = x^2. The ratio of scale factors is 2.7/0.9 = 3. That is, ...

  g(x) = 3f(x)

This means that whatever vertical difference f(x) may show over the interval, g(x) will show 3 times that difference.

The average rate of change of g(x) is 3 times that of f(x).

Answer:

120

Step-by-step explanation:

Your description is a little different from below picture, but the logic is the same. The 1 in the tens position represents 10x12 = 120, hence 120 should be subtracted and leaves you with 67 to continue.

Answer:

187

Step-by-step explanation:

12 in not the divisor of 8587 in the dividend with 7 hundreds and 1 tens. 8400 you subtracted from 8587 to give 187.

Answer:

I hope this helps

the outcomes are the compulsory 6, and 1 or 2

Step-by-step explanation:

\( \frac{3}{6} \\ \frac{1}{2} or \: 0.5\)

Answer:

15

Step-by-step explanation:

When you see something like f (18), this means 18 needs to be plugged in for x

let's plug in 18

f (18) = \(\frac{2}{3} (18) + 3\)

Let's solve

(18 × 2) ÷ 3 = 12

12 + 3 = 15

f (18) = 15

The reduced radical forms of the expressions provided are as follows:

1.  3^(4/9m)

2. -11√7

3. a^(1/2) * b^6

4.  2x^(9/4) * y^3

5. 16 - ^3√24

6. 4p^(9/10)q^(7/10)

A reduced radical form is a way of simplifying expressions that contain radicals such as square roots and cube roots, as much as possible. In a reduced radical form, the radical is simplified to its lowest possible terms.

To obtain the reduced radical forms of the expresions, we can proceed with the workings:

1. 3^(√4/9m^2) = 3^(2/3 * 1/3√4m^2) (since √4 = 2)

= (3^(2/3))^(1/3√4m^2)

= (3^(2/3))^(2/3m)

= 3^(4/9m)

2. √63 = √(9 * 7) = 3√7

√700 = √(100 * 7) = 10√7

√112 = √(16 * 7) = 4√7

√63 - √700 - √112 = 3√7 - 10√7 - 4√7

= -11√7

3. (a^2b^8/a^1/3)^3/4 = (a^2/1/3√a)^3/4 * b^8^3/4

= (a^(2/3))^3/4 * b^6

= a^(1/2) * b^6

4. ^4√1024x^9y^12 = (^4√1024) * (^4√x^9) * (^4√y^12)

= 2 * x^(9/4) * y^(12/4)

= 2x^(9/4) * y^3

5. 4^3√81 = 4^3 * 3 = 64

2^3√72 = 2^3 * 2√9 = 16√9 = 48

^3√24 can't be simplified any further

4^3√81 - 2^3√72 - ^3√24

= 64 - 48 - ^3√24 or  16 - ^3√24.

6. ^5√2pq^6 • 2 √2p^3q

= 2p^(3/5)q^(6/5) * 2p^(3/2)q^(1/2)

= 4p^(9/10)q^(7/10)

So, the results are the simplified or reduced forms of the expressions.

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Answer:

1) x=-1

Step-by-step explanation:

The red one is 3x+4

The green one is x+2

\(x^2\gt2x-2\)

\(x^2-2x+2\gt0\)

You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.

\(x^2-2x+2=0\)

Use Vieta's rule to get the roots,

\((x-1)(x-1)=0\)

Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at \(x_{1,2}=1\) which means the set for which the quadratic function is greater than 0 is \(\mathbb{R}-\{1\}\) "all real numbers except 1".

To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,

\((-\infty,1)\cup(1,\infty)\)

Hope this helps :)

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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A) The athlete received $259,375 for each game.

B) The athlete was paid $540.64 per minute.

C) The athlete's hourly wage was $8105.46.

D) The athlete was paid $213,917.52 per hour.

A) Assume a basketball player received $20,750,000 for playing 80 games, each lasting 48 minutes.

X = 20,750,000 ÷ 80

X =  259,375

B) Assuming the athlete played every minute of every game.

X = 259375 ÷ 48

X = 5403.64

C) On the other hand, suppose the athlete performed in two-thirds of the games.

X = 259375 ÷ (48 x 2 ÷ 3)

X = 259375 ÷ 32

X = 8105.46

D) Finally, suppose that over one year, the athlete practiced or practiced 33 hours for each game and afterward played every moment of that time.

X = 20,750,000 ÷ (33 + (48 x 80 ÷ 60)

X = 20,750,000 ÷ (33 + 64)

X = 20,750,000 ÷ 97

X = 213,917.52

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The farmer should purchase 2 bags of soil for his farm.

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

The shape of the farm, according to the picture is a parallelogram.  the total area can be calculated as follows:

Area = b X h

where

b = base

h = height

base = 6.5 + 2.5 = 9.0 yards

height = 6 yards

Area = 6 × 9 = 54 square yards.

40 square yards requires 1 bag of soil .

54 square yards will require ?

cross multiply

Bags required = 54 / 40 = 1.35 bag

Thus, the farmer will require 2 bags of soil for his farm.  

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The regression equation is

Aj score 90 on the 1st test. so

So he scored 97.5 in the final exam.

The algebraic expression that represents the total cost would be: A. 1.25r.

Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:

cost of each donut = $1.25.

Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.

Thus:

1 donut = 1.25

r donuts would cost: 1.25 × r = 1.25r.

Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.

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