A bakery can make 640 bagels in 4 hours. How many can they bake in 16 hours.

Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Both figures have an area of 4 units squared, so yea, the area is the same.

The area of a square of side length S is equal to S squared, for the square, we can see that:

S = 2 units.

Then the area is:

A = (2 units)² = 4 square units.

For the triangle, we know that the area is equal to:

A = B*H/2

Where B = base, H = height.

We can see that:

B = 2 units.

H = 4 units.

Then:

A = (2 units)*(4 units)/2= 4 square units.

So yea, both have the same area.

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The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

Answer:

i) 4

ii) -216

please give brainliest

Answer:

Step-by-step explanation:

a) 52 is divisible by 4 and 5 - 2 = 3

b) 63 is divisible by 9 and 3*2 = 6 -> ten digit

c) 50 is divisible by 10 and 5 + 0 = 5

d) 72 is divisible by 6 and 7*2 = 14

Answer:

get a life

Step-by-step explanation:

The present value of the estimated toll revenue for the proposed highway construction is approximately $31,333,333.33.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, Using the formula for the present value of an annuity, with a rate of 6% and 20 years, we get:

Present Value = $2,000,000 [ (1 - (1+0.06)⁻²⁰) / 0.06 ]

                      = $2,000,000 [ (1 - 0.312) / 0.06 ]

                       = $31,333,333.33

So, the present value of the estimated toll revenue for the proposed highway construction is approximately $31,333,333.33.

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Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

\(\frac{4x}{4}\geq \frac{8}{4}\)

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

The correct answer : B. We are 95% confident that the interval from 16.49 mg/100 g to 22.5 mg/100 g captures the true mean amount of vitamin C in the CSB from this production run.

Calculate the mean of the sample:

Mean = (26 + 31 + 23 + 22 + 11 + 22 + 14 + 31) / 8 = 22.5 mg/100 g

Calculate the standard deviation of the sample:

Standard Deviation = sqrt( ( (26-22.5)^2 + (31-22.5)^2 + (23-22.5)^2 + (22-22.5)^2 + (11-22.5)^2 + (22-22.5)^2 + (14-22.5)^2 + (31-22.5)^2 ) / (8-1) )

= sqrt( (3.25 + 8.25 + 0.25 + 0.25 + 11.25 + 0.25 + 6.25 + 8.25) / 7)

= 3.33 mg/100 g

Determine the standard error of the mean:

Standard Error = Standard Deviation / sqrt(n)

= 3.33 / sqrt(8)

= 1.25 mg/100 g

Determine the critical value for a 95% confidence interval:

Critical Value = 1.96

Determine the margin of error:

Margin of Error = Critical Value x Standard Error

= 1.96 x 1.25

= 2.45 mg/100 g

Determine the confidence interval's lower and upper bounds:

Lower Bound = Mean – Margin of Error

= 22.5 – 2.45

= 16.49 mg/100 g

Upper Bound = Mean + Margin of Error

= 22.5 + 2.45

= 28.51 mg/100 g

Interpret the confidence interval:

We are 95% confident that the interval from 16.49 mg/100 g to 22.5 mg/100 g captures the true mean amount of vitamin C in the CSB from this production run.

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The number of ways in which the selection of toppings can be made are 36.

        \($_n C_r=\frac{n !}{r ! (n-r) !}\)

Given is that there are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6.

The total number of ways in which the selection can be made are -

x = 6 x 6 = 36

[x] = 36

Therefore, the number of ways in which the selection of toppings can be made are 36.

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Answer:

8. y=3x+2

9. y=2x-6

10. y=1/2x+3

14. y=-2x

all i know hope this helps

Answer:

Integrate from 3 to 1 and then you should get 4/3

So C.

An equation for the height of the rocket after t seconds is h(t) = -16t² + 352t.

The time it takes for the rocket to reach a height of 0 is 22 seconds.

The time it takes to reach the top of its trajectory is 11 seconds.

The maximum height is 1,936 feet.

The time it takes to reach a height of 968 feet is 18.8 or 3.2 seconds.

Based on the information provided, we can logically deduce that the height (h) in feet, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + Vit

When the initial velocity is 352 feet per seconds, the height function becomes;

h(t) = -16t² + 352t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 352t

352t = 16t²

Time, t = 352/16

Time, t = 22 seconds.

Next, we would determine the maximum height of this rocket by taking the first derivate in order to determine the time (t) it takes;

h(t) = -16t² + 352t

h'(t) = -32t + 352

352 = 32t

t = 352/32 = 11 seconds.

h(11) = -16(11)² + 352(11)

h(11) = 1,936 feet.

At a height of 968 feet, the time is given by;

968 = -16t² + 352t

16t² - 352t + 968 = 0

t² - 22t + 60.5 = 0

Time, t = 18.8 or 3.2 seconds.

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Answer:

2000000000 ants would equal 1 elephant.

Step-by-step explanation:

8 x 10^6 = 8000000

4 x 10^-3 = 0.004

8000000 ÷ 0.004 = 2000000000

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

max=50

min=41

Step-by-step explanation:

graph

Answer:

x = 8 or x = -2

Step-by-step explanation:

x^2 - 6x + 9 = 25

x^2 - 6x - 16 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 1

b = -6

c = -16

substitute in the formula

x = [-(-6) +/- √(-6^2 - 4(1)(-16))]/2(1)

x = [6 +/- √(36 + 64)]/2

x = [6 +/- √10]/2

x = [6 +/- 10]/2

x1 = [6 + 10]/2 = 16/2 = 8

x2 = [6 - 10]/2 = -4/2 = -2

Answer:

x = 8,-2

Step-by-step explanation:

First, complete the square on LHS (Left-Handed Side).

\(\displaystyle \large{x^2-6x+9=(x-3)^2}\)

Make sure to recall the perfect square formula. Rewrite another equation with (x-3)² instead.

\(\displaystyle \large{(x-3)^2 = 25}\)

Square both sides of equation.

\(\displaystyle \large{\sqrt{(x-3)^2}=\sqrt{25}}\)

Because x² = (-x)² which means that it’s possible for x to be negative. Thus, write plus-minus beside √25 and cancel square of LHS.

\(\displaystyle \large{x-3=\pm \sqrt{25}}\\ \displaystyle \large{x-3=\pm 5}\\ \displaystyle \large{x=\pm 5+3}\)

Therefore, x = 5+3 or x = -5+3

Thus, x = 8,-2

The method above is called completing the square method.

Answer:

  y = 2x -3

Step-by-step explanation:

You want the equation of the line through the points (-1, -5) and (2, 1).

The slope of the line is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-5))/(2 -(-1)) = 6/3 = 2

The y-intercept of the line can be found from ...

  b = y -mx

  y = -5 -2(-1) = -3

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . . . line with slope m and y-intercept b

Using our found values, the equation is ...

  y = 2x -3 . . . . . . . . line with slope 2 and y-intercept -3

Answer:

Step-by-step explanation:

A because it equals it

Answer:So, the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.

Step-by-step explanation:

Answer:

1000-39=961

so 961 apples are left.

Consider \(\arccos(-x)+\arccos(x)\), where \(x \in [-1,1]\).

This means there exists a \(\theta \in [0, \pi]\) such that \(\cos \theta=x\) and \(\cos (\pi -\theta)=-\cos \theta=-x\).

Thus, taking the inverse cosine of both of these equations, we get that:

\(\arccos(x)+\arccos(-x)=\theta+(\pi-\theta)=\pi\).

Subtracting arccos(x) from both sides, we get the required result.

Answer:

X + 45

X + 12

1 - x

X - 13

Step-by-step explanation:

Using the keywords sum of, more than, and subtracted will help you. (You can also flip the expression since it didn't say how.

Answer: The variance of their weights = 9,752,155,009 kg.

Step-by-step explanation:

So if standard deviation of 10 subjects = 98753 kg

Then, variance = \((9 8753 )^2\ kg=9,752,155,009\ kg\)

Hence, the variance of their weights = 9,752,155,009 kg.

This question is incomplete, the complete question is;

Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.

credits earned        very           deg.of certainty           very          Row Total

                           uncertain     somewhat certain        certain                                                

under10                    24                         16                          6                  46

10 through 59          16                           8                          20               44

60 or more               2                           14                          22               38

col total                    42                         38                         48               128

Under the assumption of independence, the expected frequency in the upper left cell is:__________.

A. 12.47

B. 14.56

C. 2.00

D. 11.09

Answer:

Under the assumption of independence, the expected frequency in the upper left cell is 12.47

Option A) 12.47 is the correct Option

Step-by-step explanation:

Given the data in table in the question;

the expected frequency in the upper left cell will be;

Eij = (Ti × Tj) / N

Row total Ti = 38

Column total Tj = 42  

Total frequency N = 128

so we substitute

Eij = (38 × 42) / 128

= 1596 / 128

= 12.468 ≈ 12.47

Therefore Under the assumption of independence, the expected frequency in the upper left cell is 12.47

Option A) 12.47 is the correct Option

Answer:

yes

Step-by-step explanation:

yes

very poetic

F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

Answer:

y - 3 = -2(x + 2)

Step-by-step explanation:

You have a point and a slope so you put it in point slope form. The formula for  point slope form is y - y1 = m(x - x1).

m is slope

Answer:

60 and -60

Hope this helps! :)