The square of a number is 3 less than four times the number. Which values could be the number?

Answer:

[tex]\sqrt{113\\[/tex]

Step-by-step explanation:

set the problem up like this:

[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^2[/tex]

(x1,y1) (x2,y2)

x1=-3

y1+3

x2=5

y2=-4

The equation should look like this:

[tex]\sqrt{(5-(-3))^2 + (-4-3)^2[/tex]

Then you solve it and 113 is the square root in between.

Hope it helps...

Answer:

{3x-2}+4=10

Step-by-step explanation:

Hey there! I'm happy to help!

Let's pretend that we are building a small sundae. We have 3 choices of ice cream flavors.

Now, we want to pick a topping. We have 4 choices here.

After we choose a topping, we can pick another. We only have 3 choices now because we need different toppings, and we already used one.

We want to find how many possible combos we can make. What we do is multiply all of these numbers of choices, and this will show us how many possible sundaes there are.

3×4×3=36

Therefore, there are 36 different sundaes that can be made.

Have a wonderful day! :D

Answer:

-2x-15=6x+9

-2x-6x=9+15

-8x=24

x=-24/8

x=-3

Answer:

Hope this will help you :)

Step-by-step explanation:

Answer:

5 x 10 - 8 = ?

Step-by-step explanation:

Brainliest please!

Answer:

5×17-8

Step-by-step explanation:

First you multiply 5 by 17 and then you subtract 8

Answer:

x and y do not show direct variation

Step-by-step explanation:

Two quantities x and y show direct variation when

y = kx

and k ≠ 0

Given x = y + 2

Making y the subject of the formula:

y = x - 2

The equation above cannot be written in the form y = kx

This means that x and y are not in a proportional relationship

For instance, let's say when x = 4

y = (4) - 2 = 2

Now, if x is doubled, x = 8

y = (8) - 2 = 6

Therefore, doubling x does not necessarily double y, hence they are not in a direct variation.

On the first roll, you have a 1/3 probability of rolling a 1 or 2 and thus winning $200.

There's a 2/3 probability of not rolling a 1 or 2 on the first roll. On the second roll, there is again a 1/3 probability of rolling a 1 or 2, and 2/3 probability otherwise, so that there is a 1/3*2/3 = 2/9 probability of getting a 1 or 2 and thus winning $100, and 2/3*2/3 = 4/9 probability of losing.

(a) Let [tex]W[/tex] be a random variable representing the winnings from playing the game. It has the probability mass function

[tex]P(W=w)=\begin{cases}\frac13&\text{for }w=\$200\\\frac29&\text{for }w=\$100\\\frac49&\text{otherwise}\end{cases}[/tex]

(b) Compute the expected value of [tex]W[/tex]:

[tex]E[W]=\displaystyle\sum_w w\,P(W=w)=\$200\cdot\frac13+\$100\cdot\frac29+\$0\cdot\frac49\approx\$88.89[/tex]

Answer:

- 3⁷/2⁹

Step-by-step explanation:

Answer:

9 units

Step-by-step explanation:

First of all, let us understand the meaning of dilation.

Dilation means to change the size of any image or line or a figure.

Dilation can be used to enlarge (dilation by a factor greater than 1) the original figure.

OR

Dilation can be used to make the image smaller (dilation by a factor lesser than 1) the original figure.

Here, we are given that an image with 4 points ABCD is dilated by a scale factor of [tex]\frac{1}{3}[/tex].

Its sides will be AB, BC, CD and DA.

Perimeter is equal to the sum of all the sides of a closed figure.

So, perimeter of ABCD = AB + BC + CD + DA = 27 units ...... (1)

Now, it is dilated by a scale factor of [tex]\frac{1}{3}[/tex].

So, all the sides will become smaller i.e.

A'B' = [tex]\frac{1}{3}[/tex] AB

B'C' = [tex]\frac{1}{3}[/tex] BC

C'D' = [tex]\frac{1}{3}[/tex] CD

D'A' = [tex]\frac{1}{3}[/tex] DA

Perimeter of A'B'C'D' = A'B' + B'C' + C'D' + D'A' = [tex]\frac{1}{3}[/tex]AB + [tex]\frac{1}{3}[/tex]BC + [tex]\frac{1}{3}[/tex]CD + [tex]\frac{1}{3}[/tex]DA

[tex]\frac{1}{3}[/tex] (AB + BC + CD + DA ) = [tex]\frac{1}{3} \times 27[/tex](By equation (1))

Perimeter of A'B'C'D' = 9 units

Answer:

∠ 2 = 45°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 135° = 45°

Answer: 45

Step-by-step explanation:

Answer:

Angle 1= 63°

Angle 2 = 21°

Angle 3 = 96°

Answer:

A.1.5 is the correct answer.

Answer:

A. 1.5

Step-by-step explanation:

End points of the line segment:

Length of line segment:

Half length of the line segment:

Midpoint is at same distance from either end:

Midpoint is 1.5

The circumference of a circle, which is another way of saying the perimeter of a circle, can be found using the formula 2πr.

Note that π represents the irrational number 3.14159... which

rounds to 3.14 and r represents the radius of the circle.

Therefore, since π = 3.14, another way of writing the formula

for the circumference of a circle is 2 · 3.14r or 6.28r.

Answer:

circumference = 2 π r

or

circumference = π d

Step-by-step explanation:

r = radius of a circle

d = diameter

therefore

circumference = 2 π r

or

circumference = π d

Answer: it would be $96.25

Step-by-step explanation:

In the am, it’s 4 hours. 4x11= $44

In the pm it’s 4 hours and 45mins. 4x11=44

The for the 45 mins. Multiply 45x11= 495 then divide by 60. That gives you $8.25. When you add them all together, you get 96.25

Answer:

(6,5)

Step-by-step explanation:

In (1,2), 1 is is x so any number added to it goes to the right or left.  2 is y so any number added to it goes up or down.  It says translate right 5 units so that will be for x, a.k.a 1.  

1+5= 6 (new x)

Same with y, a.k.a 2.  It says up 3 units, so it must mean add on to y.

2+3= 5 (new y)

We now take our new values and put them back in the parentheses:

(6,5)

Answer:

1.4958 x 10^2

Step-by-step explanation:

The product of the multiplication is 149.58. The formula for standard notation is: A x 10^n, where 1<=A<10.

Scientific notations are the way through which a very small or a very large number can be written in shorthand. Water covers about 138,500,000 square miles of Earth's surface.

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

Given that the Water covers about 1.385 x 10⁸ square miles of Earth's surface. The area is given in scientific notations, this can be written in the standard form as shown below,

1.385 x 10⁸ square miles = 138,500,000 square miles

Hence, Water covers about 138,500,000 square miles of Earth's surface.

Learn more about Scientific notation here:

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A cluster is a small group of dots close together. An outlier is a single dot far away from the rest of the dots.

The above graph has a small cluster around y 6&7 and has an outlier at (9,5)

The answer should be D.

Answer:

The correct answer is D. This scatter plot has one cluster and one outlier.

Step-by-step explanation:

From looking at the scatterplot, the majority of the points are collected on the upper left side of the coordinate grid, creating a cluster.  This just means that these data points are located close to one another.

If we continue to look at the scatterplot, we can see that there is one data point at approximately (9, 5.25) that is very far from the other data points.  This point is considered to be an outlier because it does not follow the general trend of the other data points and changes the data analysis significantly if included in the calculations.

Hope this helped!

Answer:

(-4, 3)

Step-by-step explanation:

From the graph, it looks like the two lines intersect at pint (-4, 3).

Answer:

2b)x=1/3 or x= -4

2c) x= 0 or x= -2/3

Step-by-step explanation:

To factor ax² + bx + c, use the AC method.

(b) 3x² + 11x − 4 = 0

(3x − 1) (x + 4) = 0

3x − 1 = 0, or x + 4 = 0

x = 1/3, or x = -4

(c) 12x² + 8x = 0

Here, you can simply factor the greatest common factor, 4x.

4x (3x + 2) = 0

4x = 0, or 3x + 2 = 0

x = 0, or x = -2/3

Answer:

i) [tex]\frac{17}{12}[/tex], ii) Approximately 1.42, iii) The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.

Step-by-step explanation:

(i) A ratio written as a reduced fraction:

Given ratio is now simplified to its reduce form:

1) [tex]\frac{153}{108}[/tex] Given

2) [tex]\frac{51}{36}[/tex] Modulative property/Existence of multiplicative inverse/Definition of division/[tex]\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}[/tex]

3) [tex]\frac{17}{12}[/tex] Modulative property/Existence of multiplicative inverse/Definition of division/[tex]\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}[/tex]/Result

(ii) A ratio written as a decimal rounded to hundredths:

[tex]\frac{17}{12} \approx 1.42[/tex]

(iii) What is the answer to this?

The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.

Answer:

(a) An ineffective sample may be found about 42 times in 1000 samples.

(b) Yes, the drug is evidently effective at alpha = 0.05.

(c) A drug that had a p-value of 0.042 is more effective in comparison to a drug that had a p-value of 0.087.

Step-by-step explanation:

We are given that a statistical study reported that a drug was effective with a p-value of 0.042.

Let the Null Hypothesis, [tex]H_0[/tex] : The drug was ineffective.

Alternate Hypothesis, [tex]H_A[/tex] : The drug was effective.

(a) An ineffective sample may be found about 42 times in 1000 samples.

(b) As we know that, if the P-value is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.

SO, here also; the P-value is less than the level of significance as 0.042 < 0.05, so we reject our null hypothesis and conclude that the drug is evidently effective.

(c) The drug that had a p-value of 0.087 would be ineffective as in this case the P-value is more than the level of significance as 0.087 > 0.05, so we do not reject our null hypothesis and conclude that the drug is evidently ineffective.

This means that a drug that had a p-value of 0.042 is more effective in comparison to a drug that had a p-value of 0.087.

Answer:

m= 0

y^m = x ^8m over z ^5m

x^ 8m = y^m z5^m

z^ 5m = x^8m over y^m

Step-by-step explanation:

Answer: D. No; the graph fails the vertical line test.

The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.

For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.

Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.

The graph shows a function The graph fails the vertical line test.

A vertical line test is a tool used to determine if we have a function.

The vertical line test is a method that is used to determine whether a given relation is a function or not. The approach is rather simple.

If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test.

Consequently, this leads to the relation not being a function.

For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.

Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.

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Answer:

y = In | cos(2x + c ) | + c

Step-by-step explanation:

y" + (y')^2 + 4 = 0

substituting u = y'

u' + u^2 + 4 = 0

hence : u' = - (u^2 + 4 )

       [tex]\frac{u'}{-(u^2 + 4)}[/tex] = 1 ------- (1)

integrating both sides of the equation 1

[tex]1/2 \int\limits^1_1 {\frac{2du}{(u^2+4)} } \, = x + c[/tex]

x + c = [tex]- \frac{1}{2} arc tan (\frac{u}{2} )[/tex]   hence  u = -2 tan(2x + c )

remember u = y'

y' = -2 tan(2x + c) ------ (2)

integrating both sides of the equation 2

y = ∫ [tex]\frac{-sin u}{cos u } du[/tex]

therefore Y = In | cosu | + c

 y = In | cos(2x + c ) | + c

Answer:

0.6955x

Step-by-step explanation:

Given the following :

Promotional discount on items = 35%

Sales tax on items = 7%

Original cost of items = x

First we obtain the cost of item after the promotional discount is applied

Cost of item :

Original price - (original price * promotional discount)

x - (x * 0.35) = x - 0.35x

Cost of item = 0.65x

Then the sales tax is added :

Total amount after tax:

Cost of item + (cost of item × sales tax rate)

0.65x + (0.65x * 0.07)

0.65x + 0.0455x

= 0.6955x

Answer:

0.6955x

edge 2020 .

Answer:

[tex]\huge \boxed{\mathrm{D) \ 0}}[/tex]

Step-by-step explanation:

x - a is a factor of the polynomial P(x).

P(a) means the input for the polynomial is a.

a - a = 0

Anything multiplied by 0 is 0. If the factor is equal to 0 then the whole polynomial will be equal to 0.

Answer:

D) 0

Step-by-step explanation:

Answer:

$110,759.36

Step-by-step explanation:

136645-89188=47457

47457/11=4314.272727

4314.272727x6=25885.636363

136645-25885.64=110.759.36