A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.

An equation which can be used to solve the given system of equations is 3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11.

Given the following data:

y = 3x⁵ - 5x³ + 2x² - 10x + 4

y = 4x⁴ + 6x³ - 11

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneoulsy.

Equating the given equations, we have:

y = y

3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11

3x⁵ - 5x³ + 2x² - 10x + 4 - (4x⁴ + 6x³ - 11) = 0

3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0

3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0

3x⁵ - 4x⁴ - 11x³ + 2x² - 10x + 15 = 0

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The given statement is false statment because the line drawn has an inclination of 45°.

Given that,
On a grid, moving from 0,0 to 4,4 makes a line at a 90-degree angle. whether the statement is true or false is to be justified.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
According to the question,
Moving from 0,0 to 4,4
Calculating the slope,
m = 4 - 0 / 4 - 0
m = 1
m = tanФ = 1
tanФ = 1
tanФ = tan 45°
Ф = 45°

Thus, the given statement is a false statment because the line drawn has an inclination of 45°.

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Answer: remove business regulations

Step-by-step explanation:

Answer:

[tex]8 \frac{1}{25} [/tex]

Step-by-step explanation:

[tex]4 \frac{3}{5} + 3 \frac{11}{25} \\ (4 + 3) + ( \frac{3}{5} + \frac{11}{25} ) \\ 7 + \frac{26}{25 } \\ 7 + 1 \times \frac{1}{25} \\ 8 \frac{1}{25} [/tex]

[tex]4 \frac{3}{5} + 3 \frac{11}{25} [/tex]

the simplest form.

[tex] \frac{23}{5} + \frac{86}{25} [/tex]

[tex] = \frac{(23 \times 25) + (86 \times 5)}{5 \times 25} [/tex]

[tex] = \frac{575 + 430}{125} [/tex]

[tex] = \frac{1005}{125} [/tex]

[tex] = 8 \frac{1}{25} [/tex]

Answer:

11-1 equals 10

Step-by-step explanation:

The most improbable simulation for this coin is the heading when a coin is tossed 20 times will be 15.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A coin is biased to display heads 75% of the time.

It is tossed 20 times, and the outcomes are recorded.

Then the probability of getting heads when a coin is tossed 20 times. Then we have

[tex]\rm P = 0.75 \times 20 = 15[/tex]

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Answer:

9

Step-by-step explanation:

Answer:

"A solution to 8 = -x + 10 is 2" is the only correct option.

Answer:

∠D = 90°

∠C = 80°

Step-by-step explanation:

∠D = 90° (right angle)

All right angles = 90°

∠C = 80° (sum of all angles = 360°)

110 + 80 + 90 + ∠C = 360°

280 + ∠C = 360

∠C = 80°

Answer:

∠D = 90°∠C = 80°

Step-by-step explanation:

∠D = 90° (right angle)All right angles = 90°∠C = 80° (sum of all angles = 360°)110 + 80 + 90 + ∠C = 360°280 + ∠C = 360∠C = 80°

Answer:

60 degrees

Step-by-step explanation:

First of all, we have to set up an equation to solve this. The angles of a triangle add up to 180 degrees. We need to find the internal angle of C, which would be 180-(10x-45).

For our equation, we can set 3x+4x+[180-(10x-45)] equal to 180.

Add like terms:

7x+[180-(10x-45)] = 180

Distribute:

7x+180-10x+45 = 180

Add like terms once again:

-3x+225 = 180

Subtract 225 on both sides:

-3x = -45

Divide by -3 on both sides:

x = 15

Plug in 15 for x in the value 4x:

<B = 60 degrees

Answer:

$46.54

Step-by-step explanation:

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

P=220

r=.0325

n=1

t=6

A=266.54

A=P+I

266.54=220+I

I=46.54

Answer:

6000cm

Step-by-step explanation:

multiply all figures given

Answer:

B. figure made up of 2 or more basic shapes

hope this helps :)

Answer:

b.

Step-by-step explanation:

I took the test, hope it helps :)

Answer:

1st image

first box 180

second box 32

third box supplementary, I'm not sure about this one

fourth box 32

fifth box 63

2ed image

B

Step-by-step explanation:

second box first image 180-148=32

fifth box first image 85+32=117 180-117=63

Answer: Audrey is 75 And husband is 79

Step-by-step explanation: A = H - 4

A + H = 154

Answer:

324

Step-by-step explanation:

I think that 3x108 is 324  so I think the height is 324 and the base is 108.

Answer:

Base: 18cm

height: 12 cm

Step-by-step explanation:

Let the ratio be x

base = 3x  height = 2x

area of triangle = 108

⇒ 21 ×2x×3x=108

⇒3x 2 =108

⇒x 2 =36

x=6

Base=3x=3×6=18cm

height=2x=2×6=12cm.

​

The combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]S=\dfrac{a(1-r^n)}{1-r}[/tex]

Here, [tex]a_1[/tex] is the first term of the sequence, n is the number of terms, and r is the common ratio.

The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it.

The second doll is half of the first doll. Thus, the height of the second doll is,

[tex]a_2=\dfrac{1}{2}\\a_2=0.5\rm\;m[/tex]

Similarly, height of third doll,

[tex]a_3=\dfrac{0.5}{2}\\a_3=0.25\rm\;m[/tex]

Here, we see a pattern or sequence in the height of doll,

1,0.5,0.25......

For this series, the value of first term [tex]a_1[/tex] is 1, the number of dolls n is 8 and common ratio r is 0.5. Put the value in the above formula,

[tex]S=\dfrac{1(1-0.5^8)}{1-0.5}\\S=1.992\\S\approx 2\rm\; meters[/tex]

Thus, the combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.

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Answer:

here it bees

Step-by-step explanation:

After translation, M would be at (-2.2), N would be at (-2,-1), and O would be at (-4,-1).

Explanation:

To get you started, as it isn't too difficult, the first thing that you should do is write down the coordinates for each point.

As an example, I'll use point O which is located at (2,3).

The translation is [-6, -4], which simply means to translate your x-value left 6(as it is negative) and your y-value down 4.

In the case of O(2,3), your translated point would be at (-4,-1).

Hope this helps :)

Answer:

j=12

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Sin = hypotenuse side / opposite side to the angle

then: Sin (C) = 30 / 50 = 3 / 5

Answer:

[tex]0.55[/tex]

Step-by-step explanation:

[tex]\displaystyle \sin C=\frac{opposite}{hypotenuse}=\frac{11}{20}=0.55[/tex]

Answer:

Step-by-step explanation:
I need more explanation to answer

Answer:

x = 2/9 or 0.2

Step-by-step explanation:

6 x 2 - 54x = 0

(6x2) = 12

12 - 54x = 0

Rearange the terms

-54x + 12 = 0

subtract 12 from both sides

-54x = -12

Divide both sides by the same factor

-54x/54 = -12/-54

then simplify

x=2/9 or 0.2

Answer:

It has to be 40° or 55°, I think.

sorry if wrong.

Answer:

5. 2612.5 ≈ $2613

6. 848.4 ≈ $849

Answer:

Quadrant 4

Step-by-step explanation:

The x value is positive so it is either in 1 or 4

The y value is negative so it is either 3 or 4

To meet both conditions, it must be 4

Answer: I write more than one choice . The book is on the table , desk , bed , chair or shelf.

Step-by-step explanation: hope it helps

Answer:

She rides 3.7 Miles each day

Step-by-step explanation:

51.8 / 14 = 3.7

518 / 14 = 37 but you put a point inbetween 3 and 7 because the 8 in the original answer is in the tenths.

Answer:

12 eggs - 3 eggs = 9 eggs.

Step-by-step explanation:

Hope this helps

Answer:

3 are unbroken

Step-by-step explanation:

All but three break means 3 did not break

Answer:

4 units left

Step-by-step explanation:

if u look at point C and count the amount of lines it takes to get to its next spot, it us 4 units left

u can tell which shape is the original because it does not have little 1's next to its letters