The recipe calls for 4 cups of broccoli, but Roselyn has only a 2/3 cup measure. How many measuring cups of broccoli should she add?

Answer:

It’s 11, remember pemdas when answering a question like this.

Step-by-step explanation:

Answer:

80 ft/min

Step-by-step explanation:

Let h represent the height of the person shadow, x represent the distance between the person and the lamppost, y represent the length of the man shadow.

Therefore:

[tex]\frac{h}{x+y} =\frac{6}{y} \\\\substituting\ x=10,y=20:\\\\\frac{h}{10+20} =\frac{6}{20}\\\\\frac{h}{30} =\frac{6}{20}\\\\h=30*6/20\\\\h=9\ feet\\\\Therefore:\\\frac{h}{x+y} =\frac{6}{y}\\\\\frac{9}{x+y} =\frac{6}{y}\\\\9y=6x+6y\\\\9y-6y=6x\\\\3y=6x\\\\y=2x\\\\The\ person\ is\ walking\ from\ the\ lamppost\ at\ 40ft/min(\frac{dx}{dt}=40\ ft/min) \\\\y=2x\\\\Differentiating\ with\ respect\ to\ t:\\\\\frac{dy}{dt} =\frac{d}{dt}(2x)\\\\\frac{dy}{dt} =2\frac{dx}{dt}\\\\[/tex]

[tex]\frac{dy}{dt} =2(40\ ft/min)\\\\\frac{dy}{dt}=80\ ft/min[/tex]

The rate at which the length of the shadow is increasing when he is 30 feet away from the lamp post is  80 [tex]\frac{ft}{min}[/tex].

The height of the person shadow is to be = h

Given ,

The distance between the person and the man = x = 10

The length of the man shadow is = y = 20

By the similar triangle property corresponding sides of similar triangles are in the same ratio.

[tex]\frac{h}{x+y} = \frac{6}{y}[/tex]

[tex]\frac{h}{10+20} = \frac{6}{20}[/tex]

20h = 60 + 120

20h = 180

h = [tex]\frac{180}{20}[/tex]

h = 9feet

Therefore,

[tex]\frac{h}{x+y} = \frac{6}{y} \\\frac{9}{x+y} = \frac{6}{y} \\[/tex]

9y= 6x + 6y

9y-6y = 6x

6x = 3y

y = [tex]\frac{6}{3}x[/tex]

y = 2x

Differentiating both the sides with respect t,

[tex]\frac{dy}{dt} = 2\frac{dx}{dt}[/tex]

we know that ;

[tex]\frac{dx}{dt} = 40 \frac{ft}{sec}[/tex]

Therefore, by substitute the value

[tex]\frac{dy}{dt} = 2 . 40\frac{ft}{min}[/tex]

[tex]\frac{dy}{dt}[/tex] = 80[tex]\frac{ft}{min}[/tex].

The rate at which the length of the shadow is increasing is 80[tex]\frac{ft}{min}[/tex]  .

For more details about the Rate change problem click the link given below.

https://brainly.com/question/20414862

Answer:

30

Step-by-step explanation:

If Mark can make 42 birthday cakes in 7 days that means he can make 6 cakes a day. Multiply this by 5 and you get 30

Answer:

30 cakes

Step-by-step explanation:

42 divided by 7 is 6 so the math you would do is 5 times 6 which 30 and the subject is cakes do the answer is 30 cakes.

Answer:

9.9

Step-by-step explanation:

Optional (extra) info to understand length of other leg:

This triangle is an iscoceles, how can I (or we) tell?? Well, the angles of a triangle always add up to 180° and we know the angles of 2 corners, 90° and 45° so we can do this to find the last angle where "c" is the unknown corner:

180 - (90 + 45) = c

180 - 135 = c

45 = c

so "c" is also equal to 45° so we can decisively conclude that this figure is an iscoceles triangle.

How to find x:

Use the pythagorean theorem

c = √a² + b²

Then calculate using that equation

c = √7² + 7²

c = 9.9

In this case "c" is for the length of hypotenus but the image asks for x so

x = c

and

c = 9.9

so

x = 9.9

Hope this helps!

Have a nice evening!

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Answer:

it x = 9.9

Step-by-step explanation:

Answer:

D2/3

Step-by-step explanation:

Answer: D2

Step-by-step explanation:

Answer:

n = -3

Step-by-step explanation:

P E M D A S

10 x 7n = 70n

10 x 10 = 100

10n + 70n + 100 = -10(11 - n )

80n + 100 = -10(11 - n )

80n + 100 = 10n - 110

80n + 100 - 100 = 10n - 110 - 100

80n = 10n - 210

80n - 10n - 10n - 210 - 10n

70n = -210

70n ÷ 70 = -210 ÷ 70

n = -3

Answer:

1247630.70149

Step-by-step explanation:

calculator

Answer:

1,247,630.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-9,\:-5\right),\:\\\left(x_2,\:y_2\right)=\left(-1,\:-9\right)\\\\Midpoint=\left(\frac{-1-9}{2},\:\frac{-9-5}{2}\right)\\\\Midpoint = (\frac{-10}{2} , \frac{-14}{2})\\ \\Simplify\\\\Midpoint=\left(-5,\:-7\right)[/tex]

Answer:

The number of apartment buildings in the sample was 9.

Step-by-step explanation:

The ANOVA table is as follows:

ANOVA

                     df        SS          MS         F        Significance F

Regression    1     41587.1      __        ___           ____

Residual        7      ___           __        ___          ____

Total              8    51984.8     __        ___           ____

The degrees of freedom of Total is, n - 1.

Compute the sample size as follows:

DF of total = n - 1

              8 = n - 1

              n = 9

Thus, the number of apartment buildings in the sample was 9.

========================================================

Explanation:

Highlight XY in the sequence XYZ. We've highlighted the first two letters.

This means that we'll need to highlight the first two letters of MNL to get MN.

XY pairs with its corresponding part MN.

Due to the congruent triangles, we know that XY = MN.

The diagram shows MN = 8. Due to substitution or the transitive property (they're similar ideas) we know that XY = 8 as well.

As you can see, the order of the letters is important so we can properly align the letters.

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Let the box length l and the square base side be x, then

[tex]\to l+4x= 96 \\\\\to l=96-4x[/tex]

Calculating the volume of the box is:

[tex]\to V (x) = x^2 \\\\ \to l = x^2(96-4x)[/tex]

To find the critical value in this way, distinguish V with x and equal to zero

[tex]\to V'(x)=0 \\\\\to 4 \frac{d}{dx}(24x^2 - x^3)=0\\\\\to 4 (48x- 3x^2)=0\\\\\to 12x(16-x) = 0\\\\\to x= 12... [x \neq 0][/tex] (because the box will not exists)

Find the second derivative for maximum / minimum control as:

[tex]\to V''(x)= 12 \frac{d}{dx} (16x-x^2) \\\\\to 12 (16 -2x) < 0 \ for \ x = 16 \to \ Maxima \\\\\therefore[/tex]

[tex]Length = 32 \\\\Base = 16 in \times 16 in \\\\Volume= 8,192 \ in^3[/tex]

Answer:

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system capable of modelling basic arithmetic. ... The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.

Answer:

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system capable of modelling basic arithmetic. ... The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.

Step-by-step explanation:

Answer:

$7,025

Step-by-step explanation:

Answer:

Your answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expected value of this distribution will be the Mean

upon calculation

For the distribution of C

1)   P(x=xi)  0    1          2        3       4

              0    0.20   0.20  0.20  0.20

[tex]Mean = Pi*xi[/tex]

           = 0*0+1*0.2+2*0.2+3*0.2+4*0.2

Mean    = 2

2) Standard deviation of C

        [tex]\sqrt{(xi-mean)^2 *P(xi)}[/tex]

        = 1.09

For the distribution of D

1)       P(x=xi)    0    1       2      3      4

                     0    0.1   0.4   0.2  0.1

[tex]Mean = Pi*xi[/tex]

          = 1.9

2) Standard deviation

       = 0.984

Upon comparing the result we observe that

C has greater expected value than D

C has greater standard deviation than D which means it is more spreading of the given data than D.

Answer:

the range is all the y values or output values.

Step-by-step explanation:

example

x y

1 2

2 4

3 6

4 8

range=(2,4,6,8)

Answer:9 cents per ounce (0.0895)

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

Answer:

35 oz

Step-by-step explanation:

cashew is 5×3 = 15

almonds 5

peanuts 5+10= 15

15+15+5 = 35 oz

Answer:

thing is im in middle school

dunno if i can do college stuff

sometimes i can do highschool

grab some snacks tho oh yeah here are your utensils️

Step-by-step explanation:

Answer:y+0=-2(x-0)

Step-by-step explanation:

Step-by-step explanation:

Hope I am not wrong! I did my best I could!

Sorry for the mistakes and my bad writing!

The answer to this is 16

Answer: There are 260 different ID numbers are possible.

Step-by-step explanation:

Given: Each employee is to be given an ID number that consists 1 letter followed by 1 digit .

Number of choices for each letter = 26 [English alphabet consists 26 letters]

Number of choices for each digit = 10

By Fundamental counting principle,

The number of different ID numbers possible = (Number of choices for each letter) x (Number of choices for each digit)

=26 x 10= 260

Hence, there are 260 different ID numbers are possible.

Answer:

=

1

3

3

Step-by-step explanation:

Answer:

1

48

Step-by-step explanation:

96-0=96

5-3=2

96÷2=1

48

Answer:

It is 93/5

Step-by-step explanation:

Answer:

r=11, Hope I helped!

Step-by-step explanation:

I'm to lazy :P

Answer:

r=11

Step-by-step explanation:

Notice on the table how whatever the x value you is it is multiplied by 11, thus giving us our answer to r and answer to the equation y = rx.

Answer:

24/100

cause you have to add 20 + 4 and then just add the 100

Answer:

please is it a cube or a cuboid please check this out.