Evaluate the expression if a equals two and be equal six

Answer: Associative property

Step-by-step explanation:

From the question, we are informed that Jada is evaluating 8 × 3 × 4 and that she doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first.

The property that Jada is using is the Associative property. This has to do with regrouping of the numbers and then multiplying the numbers in different groups.

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I had the same question and got it right

Answer:

Amount to deposit= $26799.0

Step-by-step explanation:

Amount A = $60,000

Years t = 8 years,

Rate R = 9% .

A= p(1+r/n)^(nt)

60000= p(1+0.09/9)^(9*9)

60000= p(1+0.01)^(81)

60000= p(1.01)^81

60000= p(2.23888)

60000/2.23888= p

26799.1138= p

P= $26799.0

Amount to deposit= $26799.0

To be able to have $60,000 after 8 years at a rate of 9% per annum, the amount to deposit today is $30,111.98

You can solve this using the Future Value formula which is:

Future value = Present value x ( 1 + rate)^ number of years

You have everything except the present value so solve for it:

60,000 = PV x ( 1 + 9%)⁸

60,000 = PV x 1.9925626416901921

PV = 60,000 / 1.9925626416901921

PV = $30,111.98

In conclusion, you should deposit $30,111.98 today.

Find out more about this at https://brainly.com/question/14715827.

Answer:

Step-by-step explanation:

Answer:

The range of numbers that Nidhi might be thinking of is between 3 and 9.

Step-by-step explanation:

We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.

Her first clue is that eight less than three times her number is between one and nineteen.

Let the number Nidhi is thinking be 'n'.

So, eight less than three times her number means that;

[tex](3\times \text{n}) - 8 = 3\text{n}-8[/tex]

Now, according to the question; the above equation is between one and nineteen, so;

[tex]1< 3\text{n}-8 < 19[/tex]

Adding 8 to the whole expression;

[tex]1+8< 3\text{n}-8 +8< 19+8[/tex]

[tex]9< 3\text{n}< 27[/tex]

Dividing the whole expression by 3;

[tex]\frac{9}{3} < \frac{3\text{n}}{3} < \frac{27}{3}[/tex]

[tex]3< \text{n}< 9[/tex]

Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.

Answer:

Use the distance formula to determine the distance between two points.

5 √ 5

Answer:

Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.

Step-by-step explanation:

The dimensions of a dollar bill are 15.5956 cm by 6.6294 cm by 0.010922 cm. The U.S. federal government spent $3.8 trillion in fiscal year 2011.

An Olympic swimming pool is 50 m long, 25 m wide, and 1.5 m deep. How many Olympic pools would be filled by the dollar bills spent by the U.S. federal government in 2011

From above,

The volume for the dimension of the dollar bill = 15.5956 cm × 6.6294 cm × 0.010922 cm

The volume for the dimension of the dollar bill = 1.12922 cm³

The volume for the dimension of the dollar bill = 1.12922 × 10⁻⁶ m³

The volume of the pool = 50 m  ×  25 m  ×  1.5 m

The volume of the pool = 1875 m³

Number of dollars bills that can be fitted in pool = volume of the pool/volume of the dimension of dollar bills

Number of dollars bills that can be fitted in Olympic pool =1875 m³ / 1.12922 × 10⁻⁶ m³

Number of dollars bills that can be fitted in Olympic pool = 1,660,438,180

Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.

Answer:

5

Step-by-step explanation:

The median is the middle number of the list when put in order from smallest to largest

3 3 4 5 5 5 6 6 6 7 8​

There are 11 numbers so the middle number is the  6th  ( 5 on the left and 5 on the right

3 3 4 5 5     5       6 6 6 7 8​

Answer:

Set of rational numbers

Step-by-step explanation:

Answer:

the set of rational numbers

Step-by-step explanation:

Edge 2021

Answer:

the answer is 988 .........

Complementary and adjacent.

The two angles are complementary because they add up to 90°. It's given that line JL is perpendicular to line MN, and perpendicular means they form a 90° angle where they intersect.

The two angles are adjacent because they are next to each other.

Answer: b∈∅

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

12b + 9 = 12b + 11

Subtract 12b from each side

12b-12b + 9 = 12b-12b + 11

9 = 11

This is never true, so there are no solutions

Answer:

jgvi hhvh ihvyv

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

57/5 as a mixed number is 11 2/5.

2/5 of a number is also known as 4/10 or 0.4, so add that to 11 to get 11.4.

Answer:

11.4

Step-by-step explanation:

57/5 = 11.4

Answer:

-1/2

Step-by-step explanation:

y2-y1      1-3     -1

x2-x1      8-4      2

Answer:

D

Step-by-step explanation:

idk I just guessed tbh

Answer:

E -17

Step-by-step explanation:

3 times -1 is -3

-3 times 6 is -18

-18 + -1 is -17 (++)

2(4z−2) = 44

Simplify both sides of the equation.

Distribute:

(2)(4z)+(2)(−2) = 44

8z + −4 = 44

8z − 4 = 44

Add 4 to both sides.

8z − 4 + 4 = 44 + 4

8z = 48

Divide both sides by 8

8z/8    48/8

z = 6

Answer:

z=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

5X * 4-->20X

8(2X+3)--> 16X+24

20X=16X+24

4X=24

x=6

Answer:

x = 6

Step-by-step explanation:

(5x) ×4=8× (2x+3)

20x = 16x + 24

20x- 16x = 24

4x = 24

divide both sides by 4 to get the value of x

4x/4 = 24/ 4

x = 6

Answer:

The components of [tex]\vec{b}[/tex] parallel and perpendicular to [tex]\vec {a}[/tex] are [tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex] and [tex]\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k[/tex], respectively.

Step-by-step explanation:

Let be [tex]\vec b = 2\,i+j-3\,k[/tex] and [tex]\vec a = 3\,i-j[/tex], the component of [tex]\vec b[/tex] parallel to [tex]\vec a[/tex] is calculated by the following expression:

[tex]\vec b_{\parallel} = (\vec b \bullet \hat{a}) \cdot \hat{a}[/tex]

Where [tex]\hat{a}[/tex] is the unit vector of [tex]\vec a[/tex], dimensionless and [tex]\bullet[/tex] is the operator of scalar product.

The unit vector of [tex]\vec a[/tex] is:

[tex]\hat{a} = \frac{\vec {a}}{\|\vec a\|}[/tex]

Where [tex]\|\vec {a}\|[/tex] is the norm of [tex]\vec a[/tex], whose value is determined by Pythagorean Theorem.

The component of [tex]\vec{b}[/tex] parallel to [tex]\vec {a}[/tex] is:

[tex]\|\vec {a}\| = \sqrt{3^{2}+(-1)^{2}+0^{2}}[/tex]

[tex]\|\vec {a}\| = \sqrt{10}[/tex]

[tex]\hat{a} = \frac{1}{\sqrt{10}} \cdot (3\,i-j)[/tex]

[tex]\hat{a} = \frac{3}{\sqrt{10}}\,i -\frac{1}{\sqrt{10}} \,j[/tex]

[tex]\vec{b}\bullet \hat{a} = (2)\cdot \left(\frac{3}{\sqrt{10}} \right)+(1)\cdot \left(-\frac{1}{\sqrt{10}} \right)+(-3)\cdot \left(0\right)[/tex]

[tex]\vec b \bullet \hat{a} = \frac{5}{\sqrt{10}}[/tex]

[tex]\vec b_{\parallel} = \frac{5}{\sqrt{10}}\cdot \left(\frac{3}{\sqrt{10}}\,i-\frac{1}{\sqrt{10}}\,j \right)[/tex]

[tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex]

Now, the component of [tex]\vec {b}[/tex] perpendicular to [tex]\vec{a}[/tex] is found by vector subtraction:

[tex]\vec{b}_{\perp} = \vec {b}-\vec {b}_{\parallel}[/tex]

If [tex]\vec b = 2\,i+j-3\,k[/tex] and [tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex], then:

[tex]\vec{b}_{\perp} = (2\,i+j-3\,k)-\left(\frac{3}{2}\,i-\frac{1}{2}\,j \right)[/tex]

[tex]\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k[/tex]

C D E

Step-by-step explanation:

All the numbers above (C D E) are negative, making them less than 0.

Answer:

C, D, and E. They are all negative, which means they are less than zero.

1.2 and 7/2 are more than one. 7/2 simplifies to 3 1/2.

Answer:

The  value is  [tex]p-value = 0.0297[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 420 \ g[/tex]

   The The  sample  size is [tex]n = 49[/tex]

    The sample  mean is  [tex]\= x = 413 \ g[/tex]

    The  population variance is   [tex]\sigma^2 = 676[/tex]

Generally the population standard deviation is  mathematically represented as

     [tex]\sigma = \sqrt{\sigma^2 }[/tex]

     [tex]\sigma = \sqrt{676}[/tex]

     [tex]\sigma = 26[/tex]

The null hypothesis is  [tex]H_o : \mu = 420 \ g[/tex]

The  alternative  hypothesis is [tex]H_a : \mu < 420 \ g[/tex]

 Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{\sqrt{n} } }[/tex]

=>        [tex]z= \frac{ 413 - 420 }{ \frac{ 26 }{\sqrt{49} } }[/tex]

=>       [tex]z = -1.884[/tex]

The  p-value is  obtained from the z-table table and the value is  

       [tex]p-value = P(Z < -1.885) = 0.029715[/tex]

       [tex]p-value = 0.0297[/tex]

Answer:

A) [tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

B) [tex]a_{0} = a_{1} = 0[/tex]

C)   for n = 2

  [tex]a_{2}[/tex] = 1

for n = 3

 [tex]a_{3}[/tex] = 3

for n = 4

[tex]a_{4}[/tex] = 8

for n = 5

[tex]a_{5}[/tex] = 19

Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a  pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of  consecutive Os therefore there will be : [tex]2^{n-2}[/tex] strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

b ) The initial conditions

The initial conditions are : [tex]a_{0} = a_{1} = 0[/tex]

C) The number of bit strings of length seven containing two consecutive 0s

here we apply the re occurrence relation and the initial conditions

[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

for n = 2

  [tex]a_{2}[/tex] = 1

for n = 3

 [tex]a_{3}[/tex] = 3

for n = 4

[tex]a_{4}[/tex] = 8

for n = 5

[tex]a_{5}[/tex] = 19

Answer:

124

Step-by-step explanation:

you just add 32 till u get 3968

Answer: The quotient of 3,968 ÷ 32= 124

Answer:

79,816,000 people

Step-by-step explanation:

Given:

People Age 25 above = 79,816,000 people

Required

Determine the population of people over 25

The first statement of the question reads:

"In the U.S., [tex]79,816,000[/tex] people age 25 and over......"

This statement answers your question;

Hence;

Required Population = 79,816,000 people

Answer: y = -9x − 10

Step-by-step explanation: y represents the elevation of the bottlenose dolphin. The dolphin begins at 10 feet below sea level or -10. It then becomes to dive, go deeper under the water at a rate of 9 feet per second, or -9.

The equation y = -9x - 10 will equal the amount of feet below sea level that the dolphin is at. Below sea level will always be indicated with a negative number.

Answer: 3600

Step-by-step explanation: N= 3,600

3,600/12= 300

Answer:

n=0, or n=3600

Step-by-step explanation:

If your question is n/12 = 300n, n=0

Otherwise n/12=300, n=3600

Multiply both sides by 12 to isolate variable

Answer: z=8

Step-by-step explanation:

9z-3z=48

    6z=48 ⇔ combine like terms

      z=8

Hope this helps

Answer:

z = 8

Step-by-step explanation:

9z - 3z = 48

6z = 46

z = 8  

Answer:

It's D.

Step-by-step explanation:

If you want me to explain it, I will.  But it seems like you need the answer fast.  So if you still don't understand it later, then I will try to explain it...but it'll take some time.  :)

All you have to do is move all the points to the right 6 numbers because it says x+6.  For example, A is (-5,-1).  Move to the right 6 times, so (-5+6,-1) which is (1, -1).  So the new point of A is (1, -1).  Do the same with the others.  Now that we got the new rectangle in the fourth quadrant, you want to move it counterclockwise around the origin, which is 0.  Clockwise is like a clock, it goes around the middle going to the right.  Counterclowise is the same, except it goes to the left around the middle of the clock.  You can sort of apply that to this.  Go counterclockwise around the middle, in this case being the origin, 0. Move the rectangle up to the first quadrant because counterclockwise is going around to the left.  So, if the rectangle goes around to the left, then that means that it is now vertical...because it turns to the left making it straight if you go counterclockwise.  Now the point A is on the bottom left because the rectangle got turned.  If you turned it properly, then A should be at (1,1).  Apply the same thing to the other points.  D is the only one with point A being at the point (1,1), so that is correct.  Check the other points anyway.