pls help me on this question

Answer:

[tex]A) \ \{ \dfrac{-3 + \sqrt{29} }{2}, \dfrac{-3 - \sqrt{29} }{2} \}[/tex]

Step-by-step explanation:

The quadratic equation to be solved is presented here as follows;

x² + 3·x - 5 = 0

The quadratic formula for a quadratic equation of the form, a·x²+b·x + c = 0, where 'a', 'b', and 'c' are constants and 'x' is unknown, is given as follows;

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4 \cdot a \cdot c} }{2 \cdot a}[/tex]

By comparison with the given equation, we have;

a = 1, b = 3, and c = -5

By plugging in the values, we get;

[tex]x = \dfrac{-3 \pm \sqrt{3^2 - 4 \times 1 \times (-5)} }{2 \times 1}[/tex]

Therefore;

[tex]x = \{\dfrac{-3 + \sqrt{9 + 20} }{2}, \dfrac{-3 - \sqrt{9 + 20} }{2}\} = \{\dfrac{-3 + \sqrt{29} }{2}, \dfrac{-3 - \sqrt{29} }{2}\}[/tex]

[tex]x= \{\dfrac{-3 + \sqrt{29} }{2}, \dfrac{-3 - \sqrt{29} }{2}\}[/tex]

The value of x will be;

⇒ x = 35

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In Rectangle RSTW;

⇒ RZ = 3x + 6

⇒ SW = 7x - 23

Since, By the figure we conclude that;

⇒ 2 RZ = SW

Substitute the given values, we get;

⇒ 2 RZ = SW

⇒ 2 (3x + 6) = 7x - 23

⇒ 6x + 12 = 7x - 23

⇒ 12 + 23 = 7x - 6x

⇒ 35 = x

⇒  x= 35

Thus, The value of x = 35

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The number of chairs that should be removed, for there to be as few empty seats as possible but for all rows of chairs to be complete, is 33 chairs.

The number of chairs that make up a row is 11 chairs and there are to be 70 students in attendance. The number of rows that would take the students is therefore:

= Number of students / Number of rows

= 70 / 11

= 6. 36

= 7 rows rounded up

The number of rows needed is 7 rows which means the number of chairs would be:

= 7 rows x 11 chairs per row

= 77 chairs

The number of chairs to be removed is:

= Total chairs - Chairs needed

= 110 - 77

= 33 chairs

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The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

What is Triangle ?

Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.

Given ,

ABCD is an isosceles trapezoid with legs AB and CD and base BC.

If the length of AB is (7y - 4),

the length of BC s (4y - 6),

and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

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Answer:

It is A) No, There is no fixed number of baby carrots.

edge 100%

Step-by-step explanation:

Answer:

2.46

Step-by-step explanation:

Answer:

[tex]A=283.528736986[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A=\pi \times r^2[/tex]

Remember that the radius is half the diameter, we are given the diameter which is 19, which means we need to find the radius:

[tex]d=19[/tex]
[tex]19\times\frac{1}{2} =9.5[/tex]
[tex]r=9.5[/tex]

Substitute and solve:

[tex]A=\pi \times9.5^2[/tex]
[tex]9.5^2=9.5\times9.5=90.25[/tex]
[tex]\pi \times90.25=283.528736986[/tex]
[tex]A=283.528736986[/tex]

Since the question doesn't say to round the area is "283.528736986."

Hope this helps.

Answer:

d

Step-by-step explanation:

Answer:

74,779,038,221

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex]5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6[/tex]

We can eliminate all the zeroes.

[tex]5^3*7^5+9^8+9^7*5^6[/tex]

Evaluate each term.

Raise 5 to the power of 3.

[tex]125*7^5+9^8+9^7*5^6[/tex]

Raise 7 to the power of 5.

[tex]125*16807+9^8+9^7*5^6[/tex]

Raise 9 to the power of 8.

[tex]125*16807+43046721+9^7*5^6[/tex]

Raise 9 to the power of 7.

[tex]125*16807+43046721+4782969*5^6[/tex]

Raise 5 to the power of 6.

[tex]125*16807+43046721+4782969*15625[/tex]

Multiply 125 by 16807.

[tex]2100875+43046721+4782969*15625[/tex]

Multiply 4782969 by 15625.

[tex]2100875+43046721+74733890625[/tex]

Add 2100875 and 43046721.

[tex]45147596+74733890625[/tex]

Add 45147596 and 74733890625.

[tex]74779038221[/tex]

A calculator would help but here you go.

The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.

What is a quadratic equation?

An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Given: 3x² + 2kx + 3 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 3 b = 2k c = 3

Given that the roots of the equation are real and equal

Thus, D = 0

Discriminant D = b² – 4ac = 0

(2k)² – 4.3.3 = 0

4k² – 36 = 0

4k² = 36

k² = 9 taking square root on both sides

k = 3 or k = – 3

Hence, The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.

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Trigonometric identities are categorized as various identities out of which 11 are ,

Trigonometric Identities are used when trigonometric functions are given in an expression. Geometrically, these identities include one or more trigonometric functions

These are the sine , cosine or the tangent functions.

There are numerous trigonometric identities relating the side length and angle of a triangle. Only the right-angle triangle has the trigonometric identities.

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Answer:

The slope of line t is -4/5.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(2-7)

m=4/-5

Parallel lines have same slopes.

Answer:

Step-by-step explanation:

The y intercept is (0,5)

The slope is found from choosing 2 points on the line. My choice is (4,13) and (0,5)

x2 = 4

x1 = 0

y2 = 13

y1 = 5

slope = (y2 - y1)/(x2 - x1)

slope = (13 - 5)/(4 - 0) = 8/2 = 4

If I'm right answers A and D are both wrong. We don't know exactly what the 5 represents. I would say it is the beginning number of songs she knows when she starts graphing. In any event, B is not the answer.

That leaves C.

y = 2x + 5

x = 20

y = 2*20 + 5

y = 45

(20,45) is on the line

Answer:

Is this what you wanted

Step-by-step explanation:

Answer:

C. 267.9^3

Step-by-step explanation:

so if you use actual pi you get 268.08^3 since I use calculators... and since were using 3.14 instead of actual pi, it makes it so the answer has to be the third option.

I hope this helps :))

Answer:

11

Step-by-step explanation:

See the attached image:  the outer numbers count girls clockwise, showing Antonia at point J.  The inner numbers show counting anticlockwise, showing Antonia as number 8, then continuing the count past her.

Aha!  The inner and outer numbers always sum to 13.

But anticlockwise #12 really counted herself as #1 (she's being counted twice), so there aren't 12 girls, there are 11.

If you're not convinced, draw a picture with, say,  5 girls in it, number them counting both ways.

Lia gave away 3/5 of the trail mix, which is equal to 2 2/5 pounds.

Lia bought 4 3/5 pounds of trail mix. She gave 3/5 of it to her iter.Since Lia bought 4 3/5 pounds of trail mix, we can express this as 4 + 3/5 pounds, or 9/5 pounds.

To find out how much trail mix Lia gave away, we can multiply 9/5 by 3/5.

3. 3/5 multiplied by 9/5 is equal to 27/25.

To simplify this fraction, we can divide both the numerator and denominator by 3.

27/25 can be simplified to 9/5 or 2 2/5 pounds.

Therefore, Lia gave away 2 2/5 pounds of the trail mix.

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Answer:

26

Step-by-step explanation:

Answer:

QR = 30

Step-by-step explanation:

GHI ~ PQR means that PQR is the same shape and length ratios as GHI but is a different size.

All of the leg lengths of GHI are multiplied by something to get the leg lengths of PQR.

You're given the leg lengths 12 and 20. So you need to find out what 12 is multiplied by to get to 20. 12 * 5/3 = 20.

So multiply 5/3 by the other leg length 18.

18 * 5/3 = 30

So QR = 30

Answer:

(A.) would be the answer.

Answer:

(A.)Absolute value of (-75) meaning that Richard has a debt of 75 dollars

Step-by-step explanation:

Answer: 5$ for 52 days

Step-by-step explanation: (5 x 52) + 90 = 350

Answer:

+6/27=?/?

Step-by-step explanation:

+6/27=?/? will be the next number as the patter keeps increasing the numerator by 1 and denominator by 9

Answer:

-3x3x-3x-3

Get yourself some braincells in the future, please.

Complete question :

In March 2003, the Pew Research Group surveyed 1508 adult Americans and asked, "Do you believe the United States made the right or wrong decision to use military force in Iraq?" Of the 1508 adult Americans surveyed, 1086 stated the United States made the right decision. In August 2010, the Pew Research Group asked the same question of 1508 adult Americans and found that 618 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions

Answer:

(0.282 ; 0.338)

We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.

Step-by-step explanation:

Given :

p = x / n

p1 = 1086/1508 = 0.72

p2 = 618/1508 = 0.41

Confidence interval :

(p1 - p2) ± margin of error

Margin of Error = Zcrit*√p1(1-p1)/n1 + p2(1-p2)/n2

Zcrit at 90% = 1.645

1 - p1 = 1 - 0.72 = 0.28

1 - p2 = 1 - 0.41 = 0.59

MOE = 1.645*√(0.72*0.28)/1508 + (0.41*0.59)/1508

MOE = 1.645 * 0.0171492 = 0.0282105

(p1 - p2) = (0.72 - 0.41) = 0.31

Lower boundary = 0.31 - 0.0282 = 0.2818

Upper boundary = 0.31 + 0.0282 = 0.3382

(0.282 ; 0.338)

We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.

Answer:

64 Is the correct answer right

Answer:

C And D

Step-by-step explanation:

94 Inches Is 7.8 Feet Tall & 79 Inches is 6.5 Feet Tall

Answer:

C and D

Step-by-step explanation:

You should start by changing the inches to feet

(there are 12 inches in foot [ 12 inch = 1 foot ])

A. 9 foot

B. 9.5

C. about 7 feet

D. about 6 feet

C and D are correct. Hope this helps!

Answer:

Step-by-step explanation:

Answer:

oki! Mizuki here to help! 12 will be your answer!

Step-by-step explanation:

Soo... The ratio of blue to green is 4:3 right?

and there are 21 balloons!

4 + 3 is 7! So we divide 21 by 7 and get 3!

Then we multiply 3 by the number of blue balloons(aka 4) and get 12!

Answer:

Step-by-step explanation:

y = a * x(x - 3)(x + 1)^2

2,12 is used to find the value of a

y = a (2)(2 - 3)(2 + 1)^2

12 = a (2)(-1)(3)^2

12 = a (2) (-1) (9)

12 = - 18*a

12/-18 = a

a = - 2/3

y = (-2/3)*x*(x - 3)(x + 1)^2

Meaning of the △ is: the given symbol is the representation of the geometrical figure triangle.

Therefore, the meaning of the given symbol △ is the representation of the triangle.

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