3. A notebook costs $0.15 more than a pen. The total cost of the pen and notebook is
$2.25. How much does the pen cost?
| Total = $2.25

Answer C :

[tex](5 {}^{ - 3} ) {}^{6} = 5 {}^{ - 3 \times 6} = 5 {}^{ - 18} = \frac{1}{5 {}^{18} } [/tex]

Answer:

C is correct.

Step-by-step explanation:

(5^-3)^6

= 5 ^(-3*6)

= 5^-18

= 1 /5^18.

Answer:

Hi, it's 8^9

Step-by-step explanation:

[tex]8^5\cdot \:8^4\\8^5\cdot \:8^4=8^{5+4}\\8^{5+4}\\=8^9\\[/tex]

Answer: $22

Step-by-step explanation:

47- 25= 22

The answer is -√125

Step-by-step explanation:

-√125 does not simplify to an integer as -√125 = -5√5

There are 56 number of possible ways are there to select two items so that at least one jeans is chosen.

Combinations:

Combinations is the number of ways in which you can choose r elements out of a set containing n distinct objects.

The combination formula that will allow you to determine the number of combinations in no time:

C(n,r) = n! / (r! (n-r)!)

where:

C(n,r) is the number of combinations;

n is the total number of elements in the set; and

r is the number of elements you choose from this set.

Given,

A shop has 5 different shirts and 7 different jeans.

Here we need to find how many number of ways ways are there to select two items so that at least one jeans is chosen.

Let's say,

First, you picked up 1 jeans and 1 shirt …

Then the number of ways to do that is

=> ⁵C₁ x ⁷C₁

=> 5 x 7

=> 35

Similarly, in second case you picked up the only 2 jeans

number of ways to do that is

=> ⁷C₂

=> 21

So the final answer will be sum of both the cases that is

=>( ⁵C₁ x ⁷C₁ ) + (⁷C₂)

=> 35+21

=> 56 ways

Therefore, there are 56 possible ways to select two items so that at least one jeans is chosen.

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The coordinates of the vertices of the reflected image are

A' ( 6,5) , B' ( 5,1), C' ( 8,2)

given that

a triangle has vertices A ( -6,5 ) , B (-5, 1) , C( -8,2 )

it is reflected over Y axis

we have to find the coordinates of the vertices of the reflected image

since it is reflected over Y axis then only the sign of x coordinates changes

the rule for a reflection over the Y axis is (x, y) -> ( -x , y)

the y coordinate in this case is unchanged

the vertices changes and it become

A( -6, 5) -> A' ( 6,5)

B ( -5, 1) -> B' ( 5,1)

C ( -8,2) -> C' ( 8,2)

preimage of coordinates attached below

Hence the coordinates of the vertices of the reflected image are

A' ( 6,5) , B' ( 5,1), C' ( 8,2)

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Answer:x+1.5y=21

Step-by-step explanation:

We know that a pencil is $1, so let's represent that as 1x or just x. We also know that each pen costs $1.50, and let's represent this as 1.5y for the number of pens Stella bought. Your equation would be x+1.5y=21.

The center of rotation for the polygon p is shown as the red point in the attached graph below.

A plane figure spins around a point known as the center of rotation. Throughout the rotation, this point remains stationary.

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Answer:

X=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

the probability that one of the three will be elected = [tex]\frac{19}{30}[/tex]

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

As per the question, it is given that :

Probability of John (A) = [tex]\frac{1}{8}[/tex]

Probability of Beth (B) = [tex]\frac{2}{5}[/tex]

Probability of Avery (C) = [tex]\frac{1}{3}[/tex]

The probability that one of the three will be elected :

P(A) * P(B') * P(C') + P(A') * P(B) * P(C') + P(A') * P(B') * P(C) = P(A) * (1 - P(B)) * (1 - P(C)) + (1 - P(A)) * P(B) * (1 - P(C)) + (1 - P(A)) * (1 - P(B)) * P(C).

here, P(A) = Probability of A happening

        P(A') = Probability of A not happening

= [tex](\frac{1}{8} * \frac{3}{5} * \frac{2}{3}) + (\frac{7}{8} * \frac{2}{5} * \frac{2}{3}) + (\frac{7}{8} * \frac{3}{5} * \frac{1}{3})[/tex]

= [tex]\frac{1}{20} + \frac{7}{30} + \frac{7}{20}[/tex]

= [tex]\frac{3 + 14 + 21}{60}[/tex]

= [tex]\frac{38}{60}[/tex]  =  [tex]\frac{19}{30}[/tex]

Therefore, the probability that one of the three will be elected = [tex]\frac{19}{30}[/tex]

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Answer:

Answer in the photo

Step-by-step explanation:

Hope this helps x :)

Answer:

I think it’s 6x^3 + 16x^2 - 4x

After simplify of this equation 2x (3x + 4) - (3x ² + 8x - 2). We get, the two factors which are +√(-2/3), -√(-2/3).

Given Equation:

2x (3x + 4) - (3x ² + 8x - 2)

2x (3x + 4) - 3x ² - 8x + 2

6x² + 8x - 3x ² - 8x + 2

3x ² + 2

To find the factors

3x ² + 2 = 0

x ² = -2/3

x = ±√(-2/3).

Therefore, the factors of given equation are +√(-2/3), -√(-2/3).

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Answer:

x= -2

Step-by-step explanation:

A square number is the result when a number has been multiplied by itself

Jamaal using whole interval type of data recording to collect the data on Freddie’s on-task behavior.

One form of interval recording technique is whole interval recording. An interval recording approach involves watching to see if a behavior happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length. To record the incidence of behavior, ten boxes may be utilized to divide a 10-minute observational session into 1-minute intervals. A whole interval recorder uses a X for occurrence and a O for no non-occurrence to indicate if a behavior occurred during the entire interval.

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The area left to be tiled on Wednesday is 1/6

Let the total area to tile be 60 sq feet

We have taken 60 sq feet as the LCM of 2 and 3 is 6. So taking up 60 makes our calculation part easy.

Area tiled on Monday = 1/3*60 = 20 sq feet

Area tiled on Tuesday = 1/2*60 = 30 sq feet

Area remaining to be tiled = 10 sq feet

So, a fraction of the area left to be tiled = Area left to be tiled/Total area to be tiled

= 10/60 = 1/6

Hence, 1/6 of the area is left to be tiled

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Answer:1/6

Step-by-step explanation:

correlation coefficient,r = 0.5497

Standard Error,[tex]SE_{r} = 0.1477[/tex]

Dopamine, also known as DA or 3,4-dihydroxyphenethylamine, is a neuromodulatory chemical with a variety of crucial functions in cells. It is an organic substance that belongs to the phenethylamine and catecholamine families. About 80% of the catecholamines in the brain are made up of dopamine. It is an amine produced by removing a carboxyl group from a molecule of L-DOPA, which is used as a precursor and is produced in the kidneys and brain. Plants and the majority of animals can produce dopamine as well. Dopamine performs the role of a neurotransmitter in the brain, which is a substance secreted by neurons (nerve cells) to communicate with other nerve cells. Although neurotransmitters are only produced in some parts of the brain, they have a systemic impact on numerous areas.

Let the random variable, X = % of dopamine receptors blocked and Y= subject's ratings of cocaine high.

The correlation coefficient, r

Given:

[tex]SS_{XY}[/tex] = 957.5

[tex]SS_{X}[/tex] = 8145.441

[tex]SS_{Y}[/tex]= 372.5

The correlation coefficient between the variables, X and Y is obtained using the following formula,

[tex]r=\frac{SS_{XY} }{\sqrt{SS_{X} \times SS_{Y} } }[/tex]

[tex]r=\frac{957.5 }{\sqrt{{8145.441} \times372.5 } } }[/tex]

r = 0.5497

The standard error for the estimate of the correlation coefficient is obtained using the following formula,

[tex]SE_{r} = \sqrt{\frac{1-r^{2} }{n-2} }[/tex]

From the scatterplot, the sample size, n = 34

[tex]SE_{r} = \sqrt{\frac{1-(0.5497)^{2} }{34-2} }[/tex]

[tex]SE_{r}=0.1477[/tex]

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The value of A - B is - 12

It is given that A + B = 0 .......... ( Eq . 1 )

⇒ A = - B ............ ( i )

Another equation which is given is :

AB  = - 36 ........... ( Eq . 2 )

Using (i) in Eq . 2

- B ( B ) = -  36

- B ² = - 36

B ² = 36

B  = √ 36

B = 6 .......( ii )

Using B = 6 in ( i ) ,

A B = - 36

A ( 6 ) = - 36

A = -6

This implies,  A = - 6 and B = 6

Now to find the value of A - B , we need to put the values

A - B = - 6 - 6

=  - 12

Hence, the value of A - B is - 12 .

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Answer:

The Answer is -3x+15

Answer:

Step-by-step explanation:

25= (3x+10)

25-10 =

15=3x

15/3= 3x/3

5=x

The equation: [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex],  represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

Now,

If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:

[tex]\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}[/tex]

Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:

x² = (6y)²

x² = 36y²

Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:

x² = 36y² + 36z²

=> [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex]

Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

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Answer:

Each person would get 80% of a bag

The total number of times 7 can occur as the sum on rolling two cubes for 180 times is 30. It is gained by applying the knowledge of probability to the given problem.

What is probability?

Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes

Calculation of the total number of times 7 can appear as a sum on rolling two cubes for 180 times

Number of cubes rolled = 2

Total number of outcomes on rolling two cubes = 36

Total possibility of getting 7 as sum = 6

The probability of getting 7 as a sum on rolling two dice only once is given by P(E1)

P(E1) = 6 / 36

         = 1 / 6

She repeated the process 180 times  so the needed probability, P(E) is obtained by multiplying 180 by P(E1)

P(E) = 180 × (1 / 6)

P(E) = 30

Hence, the required probability of getting 7 as the sum is given by 30.

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Answer:

Question 4x-8/2=10       Answer X=7

Step-by-step explanation:

          [tex]\frac{2\left(4x-8\right)}{2}=10\cdot \:2[/tex]

        4x-8=20

        4x-8+8=20+8

        4x=28

          [tex]\frac{4x}{4}=\frac{28}{4}[/tex]

                       X= 7                                

Hope this helps

Pls mark brainliest

The temperature at an altitude of 11,000 feet will be 47.6°F

From the question, we are to calculate the temperature at an altitude of 11,000 feet

From the given information,

There is a 1.1°F drop in temperature for every thousand feet

and

The temperature on the ground is 59.7°F

Now,

We are to determine the temperature at an altitude of 11,000 feet

Since the temperature  drops by 1.1°F for every thousand feet,

Then,

At an altitude of 11,000 feet, the temperature would have dropped by 1.1°F 11000/1000 times

That is, the temperature would have dropped by that magnitude 11 times

Thus,

The temperature at an altitude of 11,000 feet = 59.7°F - 11×1.1°F

The temperature at an altitude of 11,000 feet = 59.7°F - 12.1°F

The temperature at an altitude of 11,000 feet = 47.6°F

Hence, the temperature at an altitude of 11,000 feet will be 47.6°F

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Answer:

It will be 29/1000

Step-by-step explanation:

Because each kg equal 1000 milie gram

are the three items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.

KPI:

KPI = Key Performance Indicator

A performance indicator or key performance indicator is a type of performance measurement. It basically evaluate the success of an organization or of a particular activity in which it engages.

Given,

Here we need to find the 3 items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.

The following are the 3 major pillars that are helps to achieve the KPI of 98 accuracy.

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Answer:

x = -3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

The pool's new dimensions will be 10cm by 5cm, where 1 centimeter equals 5 meters.

So, scaling is a technique for resizing an object. It can either enlarge or decrease the size of the object.

Making a scale drawing of the pool in which 1cm equals 5 meters, that is:

The length:

Subtraction of both expressions 1 and 2:

In terms of width:

Obtain new width:

Therefore, the pool's new dimensions will be 10cm by 5cm, where 1 centimeter equals 5 meters.

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The correct question is given below;
A rectangular swimming pool measures 50 meters in length and 25 meters in width. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters.

Answer: Enlargement with a scale factor 4

Step-by-step explanation:

      Since shape B is four times as long as shape A, this is an enlargement with a scale factor of 4.

      What is scale factor?

Scale factor is a ratio between the original and transformed objects. Here, it is 4.

Answers:

1.) Plot the numbers on the y-axis (vertical line) and the countries on the x-axis (horizontal). Then, put "Cars (billions)" to label the y-axis and put "Country" to label the x-axis. There is an example attached.

2.) Do the same thing as #1 but label the y-axis with "People (hundreds)" and the x-axis as "Colonies".

3.) Japan because 8 is the greatest amount comparing to the other countries.

4.) Japan made 6 million more cars than Spain since 8 - 2 = 6. (We are counting the cars in millions)

It depends on the sign of [tex]x-4[/tex].

Recall the absolute value function's definition:

[tex]|x| = \begin{cases}x & \text{if } x \ge 0 \\ -x & \text{if } x < 0\end{cases}[/tex]

Now, if [tex]x-4\ge0[/tex], then

[tex](x-4)|x-4| = (x-4)(x-4) = x^2 - 8x + 16[/tex]

On the other hand, if [tex]x-4<0[/tex], then

[tex](x-4)|x-4| = -(x-4)(x-4) = -(x-4)^2 = -x^2 + 8x - 16[/tex]

What you first suggested is incorrect. We have

[tex]x^2 - 16 = (x - 4) (x + 4)[/tex]

but [tex]|x-4| \neq x + 4[/tex].

We can show this using the definition again. If [tex]x-4\ge0[/tex], then

[tex]x-4 = x+4 \implies -4=4[/tex]

which is a contradiction; on the other hand, if [tex]x-4<0[/tex], then

[tex]-x+4 = x+4 \implies 2x = 0 \implies x =0[/tex]

holds for only one value of [tex]x[/tex].