A local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups of flour, that means they made 3 batches. If there are 5 dozen cookies in each batch, how many cookies did the bakery make?

Answer:

y=-3

Step-by-step explanation:

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

Answer:

C, D, E

Step-by-step explanation:

Edge 2021

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

-132/5

Step-by-step explanation:

-4(2x+13) + 3x = 80

-8x - 52 + 3x = 80

-5x = 80+52

5x = -132

x = -132/5

Feel free to mark this as brainliest! :D

Answer:

\(\boxed{\sf \ \ \ diagonal \ length \ = \ 41 \ \ \ }\)

Step-by-step explanation:

Thanks to Pythagoras we can say that

l being the length of the diagonal

\(l =\sqrt{9^2+40^2}=\sqrt{81+1600}=\sqrt{1681}=41\)

4

-1+5

keep the sign of the large absolute value and subject the smaller absolute value from the larger

+(5-1)

+4 or just 4

Step-by-step explanation:

Jose has a points card for a movie theater.

Write and solve an inequality which can be used to determine x, the number of visits Jose can make to earn his first free movie ticket.

3.5x + 50 > 85

3.5x  > 35

x > 10

He must visit 10 times to earn his first free movie ticket.

Answer:

azsdfghjkljhgfdsasdfghjm,.

Step-by-step explanation:

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

The correct option about the two data set's distribution is B) The distributions are somewhat similar.

Given that,

For data set 1,

Mean = 54 and MAD = 4

For data set 2,

Mean = 60 and MAD = 2

Means to MAD ratio = (60 - 54) / (2 - 4) = 6 / -2 = -3

So means to MAD ratio is -3, not 3.

Now, it is clear that the distributions are not fully similar.

But it appears to be somewhat similar since Mean absolute deviation is somewhat similar, which is close.

Hence the correct option is B.

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The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer:

\(A=1347.7\ cm^2\)

Step-by-step explanation:

Given that,

Radius of a cone, r = 13 cm

Slant height of the cone, l = 20 cm

We need to find the surface area of the cone. The formula for the surface area of the cone is given by :

\(A=\pi rl +\pi r^2\)

Put all the values,

\(A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2\)

So, the surface area of the cone is \(1347.7\ cm^2\).

Answer:

125.4

Step-by-step explanation:

Given

\(Number = 125.3546\)

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

\(Number = 125.3\)

The digit after .3 is 5

The conditions for approximation are:

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4

On Day 10, Kelly will have a total of 20 pennies in her penny jar.

To determine how many pennies Kelly will have on Day 10, we need to consider the progression of pennies added to her jar each day.

On Day 1, Kelly starts with 2 pennies. On Day 2, she adds 2 more pennies, resulting in a total of 2 + 2 = 4 pennies. This pattern continues, with 2 more pennies being added each day.

To find the number of pennies on Day 10, we can observe that the number of pennies on any given day can be calculated using the formula:

Number of pennies = Initial number of pennies + (Number of days - 1) * Number of pennies added per day

Using the provided information, we can substitute the values into the formula:

Number of pennies on Day 10 = 2 + (10 - 1) * 2

= 2 + 9 * 2

= 2 + 18

= 20

Therefore, on Day 10, Kelly will have a total of 20 pennies in her penny jar.

To summarize, starting with 2 pennies and adding 2 more pennies each day, Kelly will have a total of 20 pennies in her penny jar on Day 10.

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Answer:

(-10,0)

Step-by-step explanation:

2a =[2(-2) , 2(-3)] = (-4 -6) <--- add them

-3b = [-3(1) . -3(-1)] = (-3 +3) <--- add them

2a - 3b =  

[(-4  -6), (-3  +3)] =

(-10,0)

The inverse statement is false.

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To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer:

its a fraction -5 on top and -9 on the bottom

Step-by-step explanation:

-3-2

-4-5

Answer:

h=5

Step-by-step explanation:

I know how I got the answer, but I have no idea how to explain it. Sorry lol. It was basically trial and error.

Answer:

a) yes

b) ( 0.0280 , 0.1720 )

c) No

Step-by-step explanation:

A) Determine if the sample sizes are large enough

where :

ages between ( 18 to 29 )

p1 = 0.48 ,

n1 = 178 ,      ∴ n1 P1 = 85.44  also n1 ( 1 - p1 ) = 92.56

ages between ( 50 to 64 )

P2 = 0.03 ,

n2 = 427     ∴ n2p2 = 12.81     also n2( 1 -p2 ) = 414.19

since all the values ae above 10 we can conclude that the sample sizes are large enough

answer = yes

B)  Estimate the difference in the proportion of adult Americans aged 18 to 29

= ( 0.0280 , 0.1720 )

attached below is the detailed solution

C)  zero is not included in the interval

Given:Radius of the circle =10cm, pi=3

Area of the circle is given by ,

Using confidence interval concepts, it is found that:

Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.

So, for an interval that is (8%, 12%), the margin of error is given by:

M = (12 - 8)/2 = 2%.

Which means that for the first question, option B is correct.

Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.

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Answer:

Olá, Tudo bem?

Step-by-step explanation:

Meu nome é Ana Kesia, e o seu??

Foi mal, Nn consegui responder! ✌

Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

The translation is Let X,Y and Z be subsets of a universe set U, Are the following statement valid?

Others are:

Note that  X,Y and Z be subsets of a universe set U and as such, the statement of Y-X=X UT is false.

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Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2