A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.

Answer:

.93 calories per serving

Step-by-step explanation:

220 ÷ 3 = 73.3333333 calories per serving

3 ÷ 220 = 0.0136363636

362 ÷ 5 = 72.4

5 ÷ 362 = 0.0138121547

73.3333333 - 72.4 = 0.9333333 = around .93

Answer:

A.

Step-by-step explanation:

Here's how to determine if a ordered pair is a solution to an inequality

Step 1. Take the ordered pair and substitute their x and y values to the inequality

Inequality: [tex]y=7x-3[/tex]

Ordered pair: [tex](-2,-17)[/tex]

Answer: [tex]y=7x-3[/tex]

              [tex]-17=7(-2)-3[/tex]

Step 2. Solve

[tex]-17=7(-2)-3[/tex]

[tex]-17=-14-3[/tex]

[tex]-17=-17[/tex]

Therefore, [tex](-2,-17)[/tex] is a solution to the inequality

f(x) = -x² + x + 14

f(2) = -2² + 2 + 14 = -4 + 16 = 12

f(2) = 12

Answer:

12

Step-by-step explanation:

f (x) = -x^2 + x + 14

Let x= 2

f(2) = - (2)^2 +2+14

     = -4 +2+14

  = -2 +14

  = 12

Answer:

[tex]End = (4, 9)[/tex]

Step-by-step explanation:

Given

[tex]Start = (2,6)[/tex]

Transformation: 2 units right and 3 units down

Required

The new point

First, we take the right translation;

When a point is translated right by 2 units, the rule is:

[tex](x,y) \to (x + 2, y)[/tex]

So, we have:

[tex](2,6) \to (2 + 2, 6)[/tex]

[tex](2,6) \to (4, 6)[/tex]

Next, we take the down translation;

When a point is translated down by 3 units, the rule is:

[tex](x,y) \to (x, y + 3)[/tex]

So, we have:

[tex](4,6) \to (4, 6+3)[/tex]

[tex](4,6) \to (4, 9)[/tex]

Hence, the endpoint is:

[tex]End = (4, 9)[/tex]

Answer:

Step-by-step explanation:

Amount of work done by 15 men is:

Same work can be done by 25 men, in 15 days, so 10 more men should be added.

Answer:

the correct answer is 16ft^2

Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i

Answer:-

[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]

Explanation:-

We know distance formula

[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]

Answer:

71°

Step-by-step explanation:

12/36 = 1/3

inverse cos(1/3) = 70.53 = 71

Answer:

the sum of c minus 2 multiplied by d ------> (c-2)d

Answer:

If you like my answer than please mark me brainliest thanks. A prime number is never multiple of any number it is always multiple of itself and 1 . But your answer is 29 itself

Answer:

what are the questions

Step-by-step explanation:

Answer:

Open in answr appOpen_in_app

(i)

15

7

=

30

x

⇒x=

15

7×30

=14

(ii)

3

x

=

18

12

⇒x=

18

12×3

=2

(iii)

x

30

=

24

45

⇒x=

45

30×24

=16

(iv)

16

8

=

x

25

⇒x=

8

25×16

=50

Step-by-step explanation:

yeah

Answer:

B

Step-by-step explanation:

Let's go over each option with the process of elimination!

A. A data set will always have exactly one mode.

Contradiction: 2, 2, 3, 3, 4, 5, 6

in this data set, both 2 and 3 are modes, so it is incorrect.

B. A data set can have multiple means.

True, example as A.

C. A data set will have at least one mode.

Contradiction: 2, 3, 4, 5, 6

There are no modes in here.

D. A data set will never have a mode.

Contradiction: 2, 2, 3, 4, 5

The mode is 2.

The only true statement is answer B.

I hope this helped! :D

Answer:

b

Step-by-step explanation:

if a data set had 1,1,3,4,4 how would you have 2 modes, 1,4. If you had 1,1,2,2,3,3 you would have 1,2,3 as your modes

a is wrong, c is wrong, d is wrong

a:my example has more that one

c:i have no explanation

d:is well already wrong

Answer:

x = 12 m = 87

Step-by-step explanation:

x = Dave

(7x + 3) + x = 99

8x + 3 = 99

      -3     -3

8x = 96

----    ----

8       8

  x = 12

7(12) + 3

84 + 3

   87

Dave has 12 dollars, Martha has 87.

Answer:

(28x+16)cm

Step-by-step explanation:

2(8x+2)+2(6x+6)

16x+4+12x+12

28x+16

Perimeter = 2(Length + Breadth)

Perimeter = 2(6x + 6 + 8x + 2) cm

Perimeter = 2(14x + 8) cm

Perimeter = 28x + 16

Answer:

d

Step-by-step explanation:

The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers

Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.

Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.

So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.

So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.

Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.

Learn more about multiplication principle of counting here:

https://brainly.com/question/1091225

Answer:

the third option

Step-by-step explanation:

the 5 pounds weight at birth is the starting value.

so, the function needs to have a constant part of at least +5.

and every month 0.5 pounds are added.

that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.

w = weight after t months

t = number of months measured

Answer:

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

Explanation:

Oxford dictionary definition

Step-by-step explanation:

a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center

Answer:

B

Step-by-step explanation:

Volume of the figure = Volume of cylinder + Volume of cone

Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder

Volume of cone=(1/3)*96=32

Volume of the figure = 32+96=128

You can model the ellipse with the equation

(x/6)² + (y/5)² = 1

If you're comfortable with calculus, read on.

Let x = 6 cos(t ) and y = 5 sin(t ), with 0 ≤ t ≤ π/2. Then the curve C parameterized by (x(t), y(t)) traces out one quarter of the ellipse. The arc length of this curve is given by the integral,

[tex]\displaystyle\int_C\mathrm ds = \int_0^{\pi/2}\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{36\sin^2(t)+25\cos^2(t)}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{25+11\sin^2(t)}\,\mathrm dt \\\\ = 5\int_0^{\pi/2}\sqrt{1+\frac{11}{25}\sin^2(t)}\,\mathrm dt[/tex]

Unfortunately, you cannot find the exact value of this integral. (Well, you can, but it involves introducing a special kind of function; I'll link it in a comment.)

But you can approximate it, and the integral above comes out to about 8.657.

I'm not sure if there's a simpler, purely geometric way to estimate the arc length. But since the semiaxes (5 ft and 6 ft) are fairly close, you could try a circle with a radius somewhere in between. The arc length would range between 7.854 ft and 9.425 ft. If the material isn't too expensive, you can always overshoot and trim off the excess or repurpose it.

Answer:

A

Step-by-step explanation:

Given

- 2x² + 5x - 3 ← factor out - 1 from each term

= - 1(2x² - 5x + 3) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 3 = 6 and sum = - 5

The factors are - 2 and - 3

Use these factors to split the x- term

2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )

2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term

(2x - 3)(x - 1)

Then

- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A

Answer:

Equation: y = -2x - 1

Slope: -2

Y intercept: -1

Step-by-step explanation:

First, find the slope using rise over run, (y2 - y1) / (x2 - x1):

(y2 - y1) / (x2 - x1)

(-1 + 3) / (0 - 1)

2 / -1

= -2

So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:

y = mx + b

-1 = -2(0) + b

-1 = 0 + b

-1 = b

So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:

y = mx + b

y = -2x - 1

The equation of the line is y = -2x - 1.

Answer: y=-2x-1. Slope is -2 and y int. is -1.

Step-by-step explanation:

First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.

Answer:

Step-by-step explanation:

Confidence Level - "P" values  

99%  2.58

Confidence Interval - "P" values  

(0.5289 , 0.6097 )  

Reference=0.523 Reject H0

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

Answer:

Amira is currently 24 years old and Pam is currently 12 years old

Step-by-step explanation:

Let Amira's age be [tex]a[/tex] and Pam's age be [tex]p[/tex]. Currently, Amira is twice as old as Pam. Therefore, we can write the equation [tex]a=2p[/tex].

We can write a second equation using the other information given in the question. Nine years ago, Amira and Pam's combined ages was 18. If Amira and Pam are currently [tex]a[/tex] and [tex]p[/tex] years old, respectively, then their respective ages 9 years ago would ben [tex]a-9[/tex] and [tex]p-9[/tex]. Since these add up to 18, we have the equation [tex](a-9)+(p-9)=18[/tex].

Therefore, we have a system of equations:

[tex]\begin{cases}a=2p,\\a-9+p-9=18\end{cases}[/tex]

Substitute the first equation into the second one:

[tex]2p-9+p-9=18[/tex]

Combine like terms:

[tex]3p-18=18[/tex]

Add 18 to both sides:

[tex]3p=36[/tex]

Divide both sides by 3:

[tex]p=\frac{36}{3}=\boxed{12}[/tex]

Now substitute this into any of the equations (I'll choose the first):

[tex]a=2p,\\a=2(12),\\a=\boxed{24}[/tex]

Therefore, Amira is currently 24 years old and Pam is currently 12 years old.

Answer:

x = 14.5/a

Step-by-step explanation:

ax – 2 = 12.5

Add 2 to each side

ax – 2+2 = 12.5+2

ax = 14.5

Divide by a

ax/a = 14.5/a

x = 14.5/a