Tanner and his sister, Mona, both brought gummy bears on a family car trip. At the beginning of the drive, Mona had twice as many gummy bears as Tanner. While on the road, Mona ate 23 of her gummy bears and Tanner ate 7 of his. When they got to their destination, Tanner realized they each had the same number of gummy bears left.

Answer: The area of the shape is 156.

Answer:156

Step-by-step explanation:

The probability that a viewer will turn to channel 8 during Jimmy's performance is 2.67%.

The show is 30 minutes long, which is equivalent to 1800 seconds. Jimmy's performance starts at 6:06 pm, which is 366 seconds into the show, and ends at 6:14 pm, which is 414 seconds into the show. Therefore, Jimmy's performance lasts for 48 seconds.

The probability of a viewer turning to channel 8 during Jimmy's performance can be calculated by dividing the length of Jimmy's performance by the length of the entire show:

P = (length of Jimmy's performance) / (length of entire show) = 48 / 1800 = 0.0267

Multiplying by 100 gives the probability as a percentage: 2.67%

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The solution to the system of linear equations,

2x - y = - 22 and - 7x + y = 67 is x = - 9 and y = 4.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

Given, Two linear equations 2x - y = 22 and y = 7x + 67 in two variable 'x' and 'y'.

Arranging the equation in a similar pattern we have,

2x - y = - 22 and - 7x + y = 67.

Now, Adding these two equations +y and -y will cancel out,

So, We have - 5x = 45.

x = - 9, and 2(-9) - y = - 22 ⇒ y = 4.

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He should have divided both sides by -10.

The fraction 8/1000 as a decimal is 0.008.

Converting a fraction to a decimal involves dividing the numerator (the top number) by the denominator (the bottom number).

The given fraction is 8/1000.

To convert it to a decimal, you divide 8 by 1000:

8 ÷ 1000

= 0.008

The result, 0.008, is the decimal representation of the fraction 8/1000 which means that 8/1000 is equivalent to 0.008 in decimal form.

Hence, the fraction 8/1000 as a decimal is 0.008.

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Answer:  Number 1: = and Number 2: is C

Step-by-step explanation:

Answer:

6. >

7. 5/6, 2/3, 8/15

Step-by-step explanation:

For 6, you need to make the denominators equal, so you need to multiply 6/3*5 making it 30/15. Now which is greater 30/15 or 10/15 and you can see it's 30/15 so it would be >. For 7 you need to do the same thing but make all three denominators the same. 2/3 becomes 20/30 by multiplying by 10. 5/6 becomes 25/30 by multiplying by 5. Lastly, 8/15 becomes 16/30 by multiplying by 2. Now all their denominators are the same, so now all you have to do is order them. 25/30, 20/30, and 16/30. This is equal to 5/6, 2/3, 8/15.

Dy/dx = (dy/dt)/(dx/dt) denotes the slope of the tangent line of a parametric curve whose parametric equations are x = /(t) and y = g(t). Wherever dy/dt is zero and dx/dt is zero, a parametric curve has a horizontal tangent.

The x and y coordinates are defined as functions of t when parametric form is used to represent angles: Plot the entire circle by using the equations x = r cos t and y = r sin t. Polar equations are the name given to these parametric equations.

The given x=1+12+ dx=dt 0+12(1) =12

Parametric y Curve is as follows: ts-t dy 5t-1 dt z = ts+t dz dt 5t +1 (dz, dy, dz) = (12, 5t-1, St+1) dt 7 dt dt x = 13 =) When, 1+12 t = 13 12

(x(t), y(t), and z(t)) = (13,0,2) + + (12, 4, 6) x(t), y(t), and 2(t)) = (13+12t, ut, 2+ 6+) x(t) = 13+12t, y(t) = ut, 2(t).

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Full Question = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 1 + 12 t , y = t5 − t, z = t5 + t; (13, 0, 2)

x(t), y(t), z(t) =

Answer:

\(n=10\)

Step-by-step explanation:

\(Constructing\ an\ equation\ from\ the\ information\ provided\ about\ n,\\n^3=\sqrt{1,000,000}\\Now,\\ n^3=\sqrt{1000*1000}\ [Representing\ 1\ million\ in\ such\ a\ way\ that\ it\\ equals\ to\ the\ square\ of\ a\ real\ number] \\n^3=1000\\n=\sqrt[3]{1000}[Transposing\ the\ exponent\ 3\ from\ the\ LHS\ to\ its\ root\ in\ RHS]\\n=\sqrt[3]{10*10*10}\ [Representing\ 1000\ in\ terms\ of\ a\ cube\ of\ a\ real\ number]\\n=10\)

Answer:

✔ 1

5-foot by 4-foot face(s)

✔ 2

5-foot by 3-foot face(s)

✔ 2

4-foot by 3-foot face(s)

Step-by-step explanation:

EDGE 2021

The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).

So if we have:

Then we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

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Answer:

See below

Step-by-step explanation:

1. Reflection by a factor of (-3) and vertical shift down -12 units

2. Vertical shift up by 4 units and reflection by a factor of (-3)

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Answer:

idont konw but ask google

Step-by-step explanation:

57898765432345678909876543jgfhjfghjfhgjfgj

You should apply the distributive apply

10( x + 600 ) = 12 ( 0.75x + 800)

10x+6000=9x+9600

10x-9x=9600-6000

x=3600

Answer:

13yd

Step-by-step explanation:

Perimeter is all the side lengths added

its 0.581 its pretty self explanatory so im not gonna explain

Answer:

There were 20 total questions.

Step-by-step explanation:

\(75\% = 0.75 = \frac{3}{4} \\ \frac{15}{ \frac{3}{4} } = \frac{15(4)}{3} = \frac{5 \times 3 \times 4}{3} = 5 \times 4 = 20\)

The correct option for the given question is Option D. The equation is for the graph (y− 1) = 2(x+ 2).

Now, for option A to the points

The graph is mentioned below.

for point A:

-2(-2)+1 +5= 0

10 ≠ 0

for point B:

-2(1)+7+5=0

10 ≠ 0

For option B:

for point A:

1=2(-1)-5

1 ≠ -7

For option C:

(1+1)= -1/-8

-16 ≠ -1

Now for option D:

(1 - 1) = 2 (-2+2)

0 =0

Therefore, option D is correct. The equation is for the graph for the given points is (y− 1) = 2(x+ 2).

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The volume  by cylindrical shells method is \(\mathrm{V = 2\pi (14.5 \int 0^{0.6} ydy - \frac{1}{0.8} }\)

A technique for calculating the volume of a solid in revolution uses cylindrical shells. To generate a three-dimensional shape, this technique is applied when a region in the plane is rotated around an axis.

To use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by

y = 1.2 - 0.8|x - 13| and

y = 0 about the y-axis,

As the region to be rotated is bounded by the curves y = 1.2 - 0.8|x - 13| and y = 0 in the first quadrant. Hence, the axis of rotation is the y-axis.

To sketch the region, we can first graph the two curves separately:

y = 1.2 - 0.8|x - 13|

y = 0

We can see that the region is bounded by the x-axis, the line x = 13, and the curve y = 1.2 - 0.8|x - 13|. To rotate this region about the y-axis, we will slice it into thin cylindrical shells parallel to the y-axis.

We will integrate with respect to y, so the height of each shell will be dy. The radius of each shell will be the distance from the y-axis to the curve y = 1.2 - 0.8|x - 13|.

We can find the distance from the y-axis to the curve by solving for x in terms of y:

y = 1.2 - 0.8|x - 13|

0 = 1.2 - 0.8|x - 13|

0.8|x - 13| = 1.2

|x - 13| = 1.5

x - 13 = 1.5 or x - 13 = -1.5

x = 14.5 or x = 11.5

So the distance from the y-axis to the curve is:

r = x = 14.5 - y/0.8 when 0 ≤ y ≤ 0.6

r = x = y/0.8 - 11.5 when 0.6 ≤ y ≤ 1.2

Step 3: Set up the integral.

The volume of each cylindrical shell is:

dV = 2πrhdy

where r is the radius of the shell and h is its height. The factor of 2 comes from the fact that the region is reflected across the y-axis.

Using the expressions for the radius and height from Step 2, we have:

dV = 2π(14.5 - y/0.8)ydy when 0 ≤ y ≤ 0.6

dV = 2π(y/0.8 - 11.5)ydy when 0.6 ≤ y ≤ 1.2

Step 4: Integrate over the limits of integration.

Integrating the above expressions over their respective limits of integration, we get:

\(\mathrm{V = \int 0^{0.6} 2\pi (14.5 - \frac{y}{0.8} )ydy + \int 0.6^{1.2 }\pi (\frac{y}{0.8} - 11.5)ydy}\)

\(\mathrm{V = 2\pi (14.5 \int 0^{0.6} ydy - \frac{1}{0.8} }\)

Hence The volume  by cylindrical shells method is \(\mathrm{V = 2\pi (14.5 \int 0^{0.6} ydy - \frac{1}{0.8} }\).

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With the help of AA similarity rule option C,D,E,F will be the answer which is C:-∠ adc is 52.8°

D:- ∠ dac is 26.7°

E:- dac/adc = 0.506

F:- cd/bc =1.8

What is AA similarity rule?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are items that feature more than two figures that are the same form but different sizes.

When two triangles are comparable, all of their matching angle pairs and sides are congruent and proportionate. However, you do not necessarily need to have information about all of the sides and angles of two triangles in order to be certain that they are identical.

AA similarity rule

So, ∠ adc is 52.8°

and ∠ dac is 26.7°

So, the ratio of dac/adc = 0.506

And the ratio of side will also be equal as well which is 1.8

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Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

Answer:

The value is \(E = 0.196\)

Step-by-step explanation:

From the question we are told that

The sample size is n = 119

The sample mean is \(\= x = 11.63 \ years\)

The standard deviation is \(s = 1. 3 \ years\)

Given that the confidence level is 90% then the level of significance is mathematically represented as

\(\alpha = (100 - 90) \%\)

=> \(\alpha = 0.10\)

The critical value of \(\frac{\alpha }{2}\) obtained from the normal distribution table is

\(Z_{\frac{\alpha }{2} } = 1.645\)

Generally th margin of error is mathematically represented as

\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)

=> \(E = 1.645* \frac{1.3}{\sqrt{119} }\)

=> \(E = 0.196\)

Answer:

The triangle won't exist.

Step-by-step explanation:

If the two shorter lengths add up to be shorter than the longest length, the triangle can't exist.

Given the length of the sides of the triangle, it is an acute angle triangle.

An acute angle triangle is a triangle in which all the interior angles are acute angles. To recall, an acute angle is an angle that is less than 90°.

Given three sides a, b, c of a triangle, where a < b < c.

If \(a^{2} + b^{2} < c^{2}\), we can say that the triangle is acute.

Since, \(3^{2} + 16^{2} = 265 < 289 = 17^{2}\), given triangle is acute.

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The equation of the circle with center (0, 5) and a point on the circle (2, 4) is x² + (y - 5)² = 5

In geometry, a circle is a closed two-dimensional shape that is formed by a set of points that are equidistant from a fixed point called the center. The distance between any point on the circle and the center is called the radius.

The equation of a circle with center (h, k) and radius r is given by:

 r²=(x - h)² + (y - k)²  

In this case, the center of the circle is (0, 5) and a point on the circle is (2, 4). The radius of a circle, which is the separation between its centre and any point on the surface, may be calculated using the following formula:

r = √((2 - 0)² + (4 - 5)²) = √(5)

Now we can substitute the values of the center and the radius into the equation of the circle:

(x - 0)² + (y - 5)² = (√(5))²

Simplifying, we get:

x²+ (y - 5)² = 5

As a result, the circle's equation with its centre (0, 5) and a point on it (2, 4) is:

x² + (y - 5)² = 5

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The solution to the system, as an ordered triple is: (3, -4, 6).

To solve the following given system of equations:

2x + y + 3z = 20 --> eqn. 1

x + 2y - z = -11 --> eqn. 2

3x - 2z = -3 --> eqn. 3

Multiply equation 1 by 2 to get eqn. 4:

4x + 2y + 6z = 40 --> eqn. 4

Subtract eqn. 4 from eqn. 2:

x + 2y - z = -11 --> eqn. 2

4x + 2y + 6z = 40 --> eqn. 4

-3x - 7z = -51 --> eqn. 5

Add equations 3 and 5 together:

3x - 2z = -3 --> eqn. 3

-3x - 7z = -51 --> eqn. 5

-9z = -54

z = -54/-9

z = 6

Substitute the value of z into equation 5:

-3x - 7(6) = -51 --> eqn. 5

-3x - 42 = -51

-3x = -51 + 42

-3x = -9

-3x/-3 = -9/-3

x = 3

Find the value of y by substituting the values of x and z into equation 1:

2(3) + y + 3(6) = 20 --> eqn. 1

6 + y + 18 = 20

24 + y = 20

y = 20 - 24

y = -4

The solution as an ordered triple is: (3, -4, 6).

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Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place