There are 5 players in a baseball lineup. How many different batting orders are possible for these 5 players? (use FACTORIALS to find the probability of the number of permutations)

For one real (double) root, set discriminant [tex]\( \Delta \)[/tex] to zero: [tex]\( 144 - 36k = 0 \)[/tex]. Solve to get [tex]\( k = 4 \)[/tex].

To find the value of [tex]\( k \)[/tex] so that the equation [tex]\( 9x^2 + 12x + k = 0 \)[/tex] has one real number (double) root, we use the discriminant [tex](\( \Delta \))[/tex] of the quadratic equation. For a double root, [tex]\( \Delta = 0 \)[/tex].

The discriminant is given by [tex]\( \Delta = b^2 - 4ac \)[/tex], where [tex]\( a = 9 \)[/tex], [tex]\( b = 12 \)[/tex], and [tex]\( c = k \)[/tex].

Substitute these values into the discriminant formula:

[tex]\[ \Delta = (12)^2 - 4(9)(k) \][/tex]

[tex]\[ = 144 - 36k \][/tex]

For a double root, [tex]\( \Delta = 0 \)[/tex], so:

[tex]\[ 144 - 36k = 0 \][/tex]

[tex]\[ 36k = 144 \][/tex]

[tex]\[ k = \frac{144}{36} \][/tex]

[tex]\[ k = 4 \][/tex]

Therefore, [tex]\( k = 4 \)[/tex] to have one real number (double) root.

Answer:

14x + 4

Step-by-step explanation:

An equivalent expression is an expression which is equal. It can be a simplified form or expanded form. Here lets simplify by using the distributive property.

4(2x+1) - (-6x)

8x + 4 + 6x

14x + 4

This is the simplified equivalent form. It can also be written in expanded form as 2(7x + 2).

Answer:

50.45

Step-by-step explanation:

Pythagoras theorem

32^2 + 39^2 =x^2

1024+ 1521 =x^2

2545=x^2

[tex]\sqrt{2545} =x[/tex]

x= 50.45

The length of x is 50.44

According to Pythagorean theorem

Putting the values

Hyp² = 39² + 32²

Hyp² = 1521 + 1024

Hyp² = 2545

Taking square root on both sides we get

Hyp = 50.44

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2},\stackrel{y}{-10})~~ \textit{we know } \begin{cases} x=2\\ y=-10 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k\implies -5=k \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-5x~\hfill[/tex]

Answer:

10 cubic meters^3

Step-by-step explanation:

10*10*10=1000 cubic meters

Answer:

type in decreased|TA i promise it will work

Step-by-step explanation:

trust bro trust

{decreased|TA}

In short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.

Given that, a set of data has a high-value outliner.

In simple terms, an outlier is an extremely high or extremely low data point relative to the nearest data point and the rest of the neighboring co-existing values in a data graph or dataset you're working with. Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph.

When you have an outlier that is higher then the bulk of the data, the standard deviation is larger then it would be without the outlier. If the outlier was lower than the bulk of data, then the standard deviation would again be larger then it would be without the outlier and the mean would go down when the outlier is removed. Where it differs is the fact that removing the outlier would result in an increase of the mean instead of a decrease.

Therefore, in short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.

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Answer:

X=4

Step-by-step explanation:

2X - 10 = -2

2X = 8

X = 8/2

X = 4

Best regards

Answer:

x=4

Step-by-step explanation:

2x-10= -2

add 10 to -2

which makes it     2x= 8

then divide by 2

x=4

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

[tex]f(x)=(x-h)^3[/tex] indicates that the function if shifted to the right h units.

[tex]f(x)=(x+h)^3[/tex] indicates that the  function if shifted to the left h units.

[tex]f(x)=f(x)-k[/tex] indicates that the  function if shifted  down k units.

[tex]f(x)=f(x)+k[/tex] indicates that the  function if shifted up k units.

Then:

If h is positive, the graph will shift to the right.

If k is negative, the graph will shift down.

 As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

 [tex]g(x)=(x-4)^3-2[/tex]

Where:

[tex]h=4\\k=-2[/tex]

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

{2, 3}

Step-by-step explanation:

[tex] x^2 – 5x + 6 = 0 [/tex]

Factor the left side.

[tex] (x - 3)(x - 2) = 0 [/tex]

[tex] x - 3 = 0 [/tex]  or  [tex] x - 2 = 0 [/tex]

[tex] x = 3 [/tex]  or  [tex] x = 2 [/tex]

Answer: {2, 3}

How do you want us to solve it?

170 the answer isn't therr

Answer:

Step-by-step explanation:

1.A

2.C

1.C

2.A

1.B

2.21.45

3.A

I tried my best

Answer:

First polynomial minus the second polynomial:

3 x³ + x² + 7 x - 11.

Step-by-step explanation:

The question asks for the difference between the two cubic polynomials (maximum power of x is three.) As the other answerer mentioned, the question doesn't say anything about the value of x. In that case, the difference between the two polynomials will still be a polynomial about x.

The power x in the difference can be as high as three. Assume that to be a cubic polynomial.

? x³ + ? x² + ? x + ?.

What are the values of each coefficient?

For example, the coefficient in front of x³ in the difference is the difference between the coefficients of x³ in the two original polynomials.

Subtract the second coefficient from the first. 8 - 5 = 3. In other words, 3 is the value of the x³ coefficient in the difference.

3 x³ + ? x² + ? x + ?.

Repeat this step for the x² and x coefficients.

3 x³ + x² + 7x + ?.

The constant in the difference is the difference between the two constants.

-7 - 4 = -11.

Hence the difference:

3 x³ + x² + 7x - 11.

Alternatively, group the terms by the power of x:

(8 x³ - 2 x² + 5 x - 7) - (5 x³ - 3 x² - 2 x + 4)

= (8 x³ - 5 x³) + (-2 x² + 3 x²) + (5 x + 2 x) + (-7 - 4)

= 3 x³ + x² + 7 x - 11.

To gauge how many free throws a player would make out of 60 attempts, we need to know the player's free throw success rate. Assuming similar conditions to the example given where Carlos, the soccer player has a success rate of 65%, the basketball player would make approximately 39 successful free throws from 60 attempts.

The question seems to be asking how many free throws a player would be expected to make if he attempted 60 free throws. The missing information here would be the player's free throw success rate which isn't provided. However, let's use the example of Carlos from college soccer as an analogy; if Carlos has a success rate of 65%, then for every 100 attempts, he would make 65 goals. Now if the basketball player followed the same trend and had a success rate of 65%, and he attempted 60 free throws, we would calculate 65% of 60. This equals 39, therefore we would be expecting the player to make approximately 39 free throws.

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Answer:

2m^3n^3

Step-by-step explanation:

Final answer:

The greatest common factor of the expressions [tex]16m^6n^4[/tex], [tex]4m^3n^5[/tex], and [tex]2m^5n^3[/tex] is [tex]2m^3n^3[/tex].

Explanation:

The question is asking for the greatest common factor (GCF) of the three algebraic expressions provided: [tex]16m^6n^4[/tex], [tex]4m^3n^5[/tex], and [tex]2m^5n^3[/tex]. To find the GCF, we need to determine the highest powers of m and n that divide evenly into all three expressions.

For the variable m, the smallest exponent is 3 (in the term [tex]4m^3n^5[/tex]). For the variable n, the smallest exponent is 3 (in the term [tex]2m^5n^3[/tex]). Therefore, the GCF is [tex]2m^3n^3[/tex].

We also look at the numerical coefficients (16, 4, and 2) and find their GCF to be 2.

Answer:

I got this.

Step-by-step explanation:

A+B=C+D. SO YOU WANT TO DATE ME?

Answer: 600

Step-by-step explanation:

1943 rounded to the nearest hundred= 1900

1280 rounded to the nearest hundred= 1300

1900-1300=600

Length of more string needed to fly the kite 10 feet higher is 15.55 ft.

The angle of elevation is the angle between the horizon and the line of sight. If the line of sight is above the horizon, the angle formed is the elevation angle.

Given,

Height of the string above the ground = 4 feet

Angle of elevation = 40°

length of the string = 90 ft

sin 40° = x/90

0.643 = (x)/90

x = 57.87 ft

For 10 ft higher, let the length be 90 + y

sin 40° = (57.87 + 10)/(90 + y)

0.643 = (57.87 + 10)/(90 + y)

57.87 + 0.643y = 57.87 + 10

0.643y = 10

y = 10/0.643

y = 15.55 ft

Hence, 15.55ft more string is needed to let out kite to fly 10 ft higher.

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Final answer:

To find the extra string needed to raise the kite by 10ft, we can use trigonometry and set up an equation based on the sine function. By plugging in the values and solving the equation, we find that you would need 37.7ft of extra string.

Explanation:

To find how much more string you would need to let out for the kite to fly 10ft higher, we can use trigonometry. First, let's find the height of the kite above the ground when 90ft of string is let out. We can use the sine function: sin(40°) = height / 90ft. Rearranging the equation, we find height = sin(40°) * 90ft = 57.7ft. Now, to find the extra string needed to raise the kite by 10ft, we can set up a similar equation: sin(40°) = (height + 10ft) / (90ft + x), where x is the extra string. Rearranging the equation, we get x = ((height + 10ft) / sin(40°)) - 90ft. Plugging in the values, we have x = ((57.7ft + 10ft) / sin(40°)) - 90ft = 37.7ft.

Answer: A

Step-by-step explanation:

It’s going right which means that it must be greater. And so it would be greater than -2.

Answer:

A y+5 > -2

Step-by-step explanation:

We have an open circle at -7.  An open circle means greater than

y >-7

We want to add 5 to each side since all of our inequalities have +5 on the left

y+5 > -7+5

y+5 > -2

Answer:   d) 4

Step-by-step explanation:

[tex]\bigg(-\dfrac{2}{5}x\bigg)(5y)(-2x)\\\\\\=\bigg(-\dfrac{2}{5}\bigg)(5)(-2)\cdot x^2y\\\\\\=(-2)(-2)\cdot x^2y\\\\=4\cdot x^2y[/tex]

➷ Following the rule of PEMDAS, you would do the multiplication first

2* 0 = 0

2 + 0 = 2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Step-by-step explanation:

DMAS rule

Division

Multiplication

Addition

Subtraction

So 2 would be multiplied by o first then added to 2 thats why 2+2*0=2

Hope this helps :)

Answer:

Right triangle

Step-by-step explanation:

because it has one 90 degree angle

Step-by-step explanation:

It's a RIGHT TRIANGLE because one of the angles has measure 90°.

Equilateral triangle has every angle with the same measure of 60°.

Isisceles triangle has two equal angle with the same measure.

Answer:

the answer i got was £46,000

Step-by-step explanation:

how i got this answer was that i multiplied £2300 • 5 and got £11,500 then i multiplied £11,500 • 4 and got £46,000

i hope this helps you.

Answer:

D) y-2x-5

Step-by-step explanation:

Answer:

[tex]y=-2^x[/tex]

Step-by-step explanation:

The parent function of the given graph is y=2^x because all the given options have basic exponent 2^x

LEts take the basic function as [tex]y=a(2)^x[/tex]

To find the value of 'a', pick a point from the given graph

LEts pick (0,-1), plug in the values and find out 'a'

[tex]y=a(2)^x[/tex]

[tex]-1=a(2)^0[/tex]

a=-1

The equation becomes

[tex]y=-1(2)^x[/tex]

[tex]y=-2^x[/tex]

Answer:

120%

Step-by-step explanation:

See how much % of 15 and increase to 33 is.  

33 - 15 = 18, so there is a change of 18 feet.  

18/15 = 1.2

1.2 is 120% as a percent.  So there is a 120% change from 15 to 33

Final answer:

The percent of change from 15 feet to 33 feet is found by dividing the difference between the values by the original value and then multiplying by 100, which results in a 120% change.

Explanation:

To calculate the percent of change from 15 feet to 33 feet, first, find the difference between the two values. The difference is 33 feet - 15 feet = 18 feet. Then, divide this difference by the original value (15 feet) and multiply the result by 100 to get the percentage. Thus, the percent of change is (18 feet / 15 feet) × 100 = 120%.

Answer:

60

Step-by-step explanation:

Is means equals and of means multiply

9 = 15% * N

Change to decimal form

9 = .15 N

Divide each side by .15

9/.15 = .15N/.15

60 = N

Answer: hi the answer is 60 hope i helped

Step-by-step explanation:

Answer:

its letter A

Step-by-step explanation:

Step-by-step explanation:

2 days= 24 hours in 1 day, so multiply that by 2 to get 48 hours total.

Now find the amount of time the wild fire doubles by dividing 48 total hours by 6. So it will double 8 times

The size was 1 acre. Let's multiply by 2, 8 times

1

2

4

8

16

32

64

128

The fire will cover 128 acres in two days.

The wildfire, which is doubling every 6 hours, would cover 256 acres of land over a two day period.

The problem involves exponential growth, which is a concept in mathematics where a quantity increases exponentially over time. According to the problem, the size of the fire is doubling every 6 hours. So, we have 24 hours in a day, and two days would give us 48 hours.

Now, divide the total hours (48) by the hours it takes for the fire to double in size (6), we get 8. This is the number of times the fire doubles in size over a 2 day period.

Since the fire was initially 1 acre, after 8 doubles or in 2 days, it would cover 28 or 256 acres of land.

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The frequency is 2Hz

Using the formula

Arranging the equation

Frequency = Speed / Wavelength

Frequency = 200 / 100

Frequency = 2 Hz

Answer:

The container holds about 11.25 gallons.

Step-by-step explanation:

I think a container holds about 11.25 gallons.

Answer:

Its 3 triangles that are connected!

Step-by-step explanation:

The 3 points of the FIRST TRIANLE  (closest to the left side of the page) has the points of -4, 2 and -4, -5 and -2, -3.

The 2 points of the SECOND TRIANGLE(connected to the first triangle and third triangle,.... and the third triangle makes the second triangle possible!!) and the points are -2, -3 and -1, -6

The 4 points to the THIRD TRIANGLE (The closest to the right side of the page) the points are 6, 6 and 6, -2 and 4, -3 and 1, -6

Answer: 7 units

Step-by-step explanation: Because when you plot (6,6) and(-1,6) you make a line that is 7 units long. Hope this helps if you have the same question i did :)