At the local ice cream shop, there
are 6 ice creams and 6 frozen
yogurts that look very similar, and
it's difficult to distinguish among
them. You scoop 1 scoop each
from 2 different barrels.
What is the possibility that both of
the scoops are ice cream?

Answer:

Step-by-step explanation:

He took 21 months in total.

150 per month in France and 210 per month in Canada

So, He learned in France in 10 months and canada in 11 months

Answer:

48m^2

Step-by-step explanation:

Split the figure into two separate ones and add them together at the end: see image for explanation

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

First one is B

Second one is A

next time dont shoot your computer

Step-by-step explanation:

The parent function of the graph is y = √x

The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit

This means that the equation of the graph is:

y = 3 + √(x - 1)

Remove the translated points

y = √x

Hence, the parent function of the graph is y = √x

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Answer:

You're answer is 4/7

Step-by-step explanation:

I hope this helps!

Answer:

Part 1)

225 feet.

Part 2)

7 seconds.

Step-by-step explanation:

The height h(t) of the ball above the ground after t seconds is modeled by the function:

\(h(t)=-16t^2+104t+56\)

Part 1)

We want to determine the maximum height of the ball.

Notice that the function is a quadratic with a negative leading coefficient, so its maximum will be at its vertex point.

The vertex of a parabola is given by:

\(\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)\)

In this case, a = -16, b = 104, and c = 56.

Find the x- (or rather t-) coordinate of the vertex. So:

\(\displaystyle t=-\frac{(104)}{2(-16)}=\frac{104}{32}=\frac{13}{4}=3.25\text{ seconds}\)

In other words, the ball reaches its maximum height after 3.25 seconds.

To find the maximum height, substitute this value back into the function. Hence:

\(\displaystyle h(3.25)=-16(3.25)^2+104(3.25)+56=225\text{ feet}\)

The maximum height of the ball is 225 feet in the air.

Part 2)

We want to find the amount of time it took for the ball to hit the ground.

When the ball hit the ground, its height above the ground is zero. Therefore, we can set h(t) to 0 and solve for t:

\(0=-16t^2+104t+56\)

We can simplify a bit. Divide both sides by -8:

\(0=2t^2-13t-7\)

We can factor. Find two numbers that multiply to 2(-7) = -14 and add to -13.

-14 and 1 works! Therefore, split the second term into -14 and 1:

\(\displaystyle 0=2t^2-14t+t-7\)

Factor out a 2t from the first two terms and group the last two terms:

\(0=2t(t-7)+(t-7)\)

Factor by grouping:

\(0=(2t+1)(t-7)\)

Zero Product Property:

\(2t+1=0\text{ or } t-7=0\)

Solve for each case:

\(\displaystyle t=-0.5\text{ or } t=7\)

Since time cannot be negative, we can ignore the first case.

Therefore, it takes seven seconds for the ball to hit the ground.

The y-intercept is -6, when the coordinate is -3,-3 and the slope is -1

More specifically, it is defined as the ratio of the change in the y-coordinate (vertical) to the change in the x-coordinate (horizontal) between any two points on the line or surface.

The slope of a line is often denoted by the letter "m" and can be calculated using the formula:

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

where (x1, y1) and (x2, y2) are two points on the line.

A positive slope indicates that the line is rising from left to right, while a negative slope indicates that the line is falling from left to right. A slope of zero indicates that the line is horizontal.

The slope of a surface can be calculated using partial derivatives. The slope of a surface at a point is the slope of the tangent plane at that point.

Slope is an important concept in mathematics, physics, and engineering, and is used to calculate rates of change, velocities, and accelerations, and to model relationships between variables. It is also used in a variety of practical applications, such as in construction and surveying, where it is necessary to determine the slope of the land.

To find the equation of the line when the coordinate is (-3, -3) and the slope is -1, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the given point. Plugging in the values, we get:

y - (-3) = -1(x - (-3))

y + 3 = -x - 3

y = -x - 6

The y-intercept is the point where the line intersects the y-axis, which occurs when x = 0. Plugging in x = 0 into the equation, we get:

y = -0 - 6

y = -6

Therefore, the y-intercept is -6.

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Answer:

the answer was 7.71

Step-by-step explanation:

hope this helps

A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 54 by the denominator 7 (which you can enter in any calculator):

54 (numerator) ÷ 7 (denominator) = 7.71

And finally, you get 7.71 as your answer when you convert 7 5/7 (or 54/7) to a decimal.

Answer:

7.71

Step-by-step explanation:

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer:

So the formula for mean is you add up all of the numbers and divide by the number of numbers, that will give you the mean/average. So that means that (12+25+33+N)/4 = 120. We can simplify by first adding all of the numbers and multiplying both sides by 4 which will cancel out the four on the right side.

70+N/4 = 120

480 = 70+N

So then we subtract 70 from both sides.  Then we get 410 = N.

The answer is

The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.

Here first determine the ratio of nonfiction books to mystery books

So, it should be like

= 18:24

= 6:8

= 3:4

So based on the above calculations we can say that The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.

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Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

Answer:

1.) Feeds on dead organisms – Decomposer

2.)obtain energy nutrients from producers – Consumer

3.)Network of interconnected food chains – Food web

4.)Manufactures food using energy from the sun – Producer

5.)Simple model used for showing how energy passes through an ecosystem – Food chain

6.) Relationship between organisms where both members benefit – Mutualism

Step-by-step explanation:

pls if this answer helped you kindly rate it as brainliest

Answer: 1/4

Step-by-step explanation:

2 divided by 2 is 1 and 8 divided by 2 is 4 so 1/4

Answer: 1/4

Step-by-step explanation: We can simplify by divideing both the numerator and the denominator by 2. That will leave us with the answer of 1/4.

Answer:

75

Step-by-step explanation:

120 ÷ 1.6 = 75 since 1.6 kilometer per hour is 1 mile, the car travels 75 miles per hours

Answer:

The car travels 75 miles per hour

Step-by-step explanation:

Units of Length

The most common units of distance are millimeters, centimeters, meters, miles, and kilometers.

The equivalence from miles to kilometers is:

1 mile = 1.6 Kilometers

If we wanted to convert a given distance from kilometers to miles, we'd need to divide by 1.6,  that is:

d(miles) = d(km)/1.6

The above equation can be used to find the number of miles given the number of kilometers.

If a car travels at 120 kilometers per hour, then in one hour it travels

d(km)=120

Thus, the distance in miles is:

d(miles) = 120/1.6 = 75

The car travels 75 miles per hour

Answer:

it is -2,-1,0,1,2

and 8

Step-by-step explanation:

and and and and and and and and and 8

The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

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Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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To answer the question, having a z-table with you will help. We can also use the 68-95-99.7 rule.

The rule states that 68.27% of a normally distributed data set is within one standard deviation of the mean, 95.45% is within two standard deviations, and 99.73% is with three standard deviations.

Given that the mean is 131 mmHg and the standard deviation is 9 mmHg, we can calculate the boundaries which are 3 standard deviations away from the mean by adding and subtracting three times the standard deviation.

Therefore, approximately 99.7% of women over seventy have blood pressures between 104 mmHg and 158 mmHg.

Now let's find out how many standard deviations away 122 mmHg and 140 mmHg are from the mean.

122 and 140 mmHg are within 1 standard deviation of the mean. Using the 68-95-99.7 rule, we know that approximately 68.27% of women over seventy have blood pressures between 122 mmHg and 140 mmHg.

Answer:

3x+8

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

2(x +6)-4 +x

2x+12 (distributive property)

2x+12-4+x

3x+8

Hope this helps :)

Answer:

3x+12

Step-by-step explanation:

Follow the PEMDAS/GEMDAS order. First, distribute the 2 to the numbers in the parenthesis:

2(x+6)-4+x

      ↓

2x+16-4+x

Then, subtract the numbers without a variable (the numbers without x):

2x+16-4+x

      ↓

 2x+12+x

Then, add the variables together (the numbers with x):

2x+12+x

     ↓

 3x+12

Hope this is the answer you need.

Answer:

The value of 39% would be called parameter.

Step-by-step explanation:

When a percentage refers to a sample, it is called a statistic.

When it refers to a population, it is called a parameter.

The sample of Indiana voters was intended to represent all Indiana voters;

This means that the percentage will be used with the following meaning:

"39% of all Indiana voters ..."

That is, referring to the entire population(in this case, all Indiana voters), so would be a parameter.

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

Answer:

21 and 96

Step-by-step explanation:

Let x and y be the two numbers such that x>y.

As the sum of both the numbers is 96.

x+y=96...(i)

As the larger number is nine less than four times the smaller number,

So, x=4y-9

From equation (i),

4y-9+y=96

5y=96+9=105

So, y=105/5=21

By using equation (i),

x=96-y=96-21=75

Hence, both the numbers are 21 and 96.

14 boxes of girl scout cookies

34 small bags of homemade cookies

Total = 34+14 = 48

P ( homemade cookies ) = homemade cookies / total = 34 / 48 = 0.708

Answer:

Step-by-step explanation:

SORRY ABOUT THE REST OF THE WORKSHEET, THEY ARE SUPPOSED TO ADD UP TO 180 not 90

19.

8x - 16 = 6x + 20

2x = 36

x = 18

M = 8(18) - 16 = 128

N = 128

O = 52

P = 52

20.

21x - 9 = 180

21x = 189

x = 9

W = 110

X = 110

Y = 70

Z = 70