What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4

Answer:

884yd²

Step-by-step explanation:

Given in the question a pyramid with a square base

Slant height = 20

length of side of square = 18

To calculate base area

base area of pyramid = l²

                                   = 324 yd²

To calculate the one face of pyramid

area of one face  = 1/2 (height) x (base)

                            = 1/2 (20)(14)

                            = 140

Plug values in the formula

Area of the figure = 324 + 4(140)

                              = 884 yd²

Answer:

Total surface area = 1044 yd²

Step-by-step explanation:

From the figure we can see a square pyramid.

Base = 18 yd

Slant height = 20 yd

To find the Base area

Total surface area = Base area + (4* area of one lateral face)

Base area = Base² = 18² = 324 yd²

To find the lateral surface area

Area of one face = bh/2

b = base = 18 yd

h = Slant height = 20 yd

Area = bh/2 = (18 * 20)/2 = 180 yd²

Lateral surface area = 4 * 180 = 720 yd²

To find the total surface area

Total surface area = 324 + 720 = 1044 yd²

By factoring out and simplifying, we can see that given expression is divisible by both 30 and 37.

The method for solving this question involves using certain properties of numbers and exponents. Firstly, observe the expressions (36^5-6^9) and (38^9-38^8). You can factor out 6^5 from the first expression and 38^8 from the second expression, giving you 6^5(6^4-1) and 38^8(38-1) respectively.

You will notice that 6^4-1 is 1295 and 38-1 is 37.  Both 1295 and 37 are divisible by 37, rendering the whole expression divisible by 37. Moreover, 1295 is divisible by 5 and 6^1 is divisible by 6, making the expression divisible by 5*6 = 30.

Therefore, the whole expression is divisible by both 30 and 37.

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To prove the divisibility of the expression, we factor and simplify it. The expression is divisible by both 30 and 37 due to its factors.

To prove that the value of the expression b(36^5 - 6^9)(38^9 - 38^8) is divisible by 30 and 37, we can factor out 6 from both terms in each parenthesis.

This gives us b(6^4)(6^9 - 1)(38^8)(38 - 1).

Next, we divide each term by 6, giving us b(6^3)(6^9 - 1)(38^8)(38 - 1)/6.

We can simplify this expression further by factoring out 2 from both terms in the first parentheses, giving us 2^3b(6^6)(6^3 - 1)(38^8)(38 - 1)/6.

Now we can see that the expression is divisible by both 30 and 37, since it contains factors of 2, 3, 5, and 37.

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Answer:

5m^5-m^3-3

Step-by-step explanation:

What you do is you have to distribute the negative sign into the equation.

-m^5-2m^3+4m-6. Next, you will either add or subtract from the other equation.

6m^5-m^5=5m^5.

m^3-2m^3=-m^3.

-4m+4m=0m or you don't put anything.

3-6=-3. Then you put it all together to get.

5m^5-m^3-3 as your answer.

The maximum occurs at x = -b/2a

Using f(x) = ax^2 +bx +c

Replace a and b in the equation.

a = 2

b = 8

Now you have x = -8 / 2(2)

x = -8 / 4

x = -2

The maximum is -2

Answer:

7/39 = 17.94%

Step-by-step explanation:

Town          Students     Relative Frequency

Wilmette   12 boys + 7 girls = 19 19/39 = 48.72%

Glencoe    9 girls + 4 boys = 13 13/39 = 33.33%

Kenilworth  2 boys + 5 girls = 7  7/39 = 17.94%

Total         39 students         39/39 = 100%

Another approach to solve probability is the Relative Frequency. A frequency is the number of times an event occurs. To solve for the relative frequency, it’s the ratio of the frequency of an event to the total outcomes. From the question, it is clear that for each town, it was subdivided into boys and girls but the word students represent the combined number of boys and girls for a particular town. so finding the probability that a student called at random to answer a question is from kenilworth is simply the ratio of students from kenilworth over the total number of students in the class.  

The answer is to your question is 7:35.

Answer:

7:35 AM or PM

Step-by-step explanation:

depends on what time of day it is AM is daytime and PM is nightime. Ithink I deserver brainliest compared to the other answer. Up to you though.

Answer:

n = - 12

Step-by-step explanation:

Isolate the term in n by subtracting 4 from both sides

[tex]\frac{n}{-2}[/tex] = 6 ( multiply both sides by - 2 )

n = 6 × - 2 = - 12

I absolutely love these.

Your answer would be A since "h" is how many hours has pass and "J" is your jogging.

A + B = C.

Your "A" is the number of jogs you have, "B" is "h", and your "C" is "j".

Hopefully this helps!

Answer:

A) is what you are kooking for Bro

Step-by-step explanation:

Good day to you!

Answer:

C

Step-by-step explanation:

Consider the trinomial [tex]3x^2+10x-8.[/tex]

We can rewrite it as

[tex]3x^2+10x-8=3x^2+12x-2x-8.[/tex]

Now group first two terms and last two terms:

[tex](3x^2+12x)+(-2x-8).[/tex]

The common factor in first two terms is [tex]3x[/tex] and the common factor in last two terms is [tex]-2.[/tex] Use the distributive property for both groups of terms:

[tex]3x^2+12x=3x(x+4),\\ \\(-2x-8)=-2(x+4),[/tex]

so

[tex](3x^2+12x)+(-2x-8)=3x(x+4)-2(x+4).[/tex]

Now you can see that [tex](x+4)[/tex] is a common factor, thus

[tex]3x(x+4)-2(x+4)=(x+4)(3x-2)=(3x-2)(x+4).[/tex]

Since the trinomial can be represented as a product of binomials, this trinomial is not prime.

Answer:

what is √25x^2y^2/√xy in simplest from? Assume x≥o and y≥0

The correct answer to this question is 5√xy

Step-by-step explanation:

The given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]

From the question,

We are to evaluate sqrt 25x^2y^2/sqrt xy in its simplest form.

First, we will write the given expression properly

The given expression is

[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]

Now, the expression can be evaluated as shown below

[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]

[tex]\frac{\sqrt{25 } \times \sqrt{x^{2} y^{2}} }{\sqrt{xy} }[/tex]

This becomes

[tex]\frac{5 \times xy }{\sqrt{xy} }[/tex]

This becomes

[tex]\frac{5 \times xy}{(xy)^{\frac{1}{2} } }[/tex]

This can be written as

[tex]5 \times xy \div (xy)^{\frac{1}{2} }[/tex]

By applying one of the laws of indices

We get,

[tex]5 \times (xy)^{1-\frac{1}{2} }[/tex]

[tex]5 \times (xy)^{\frac{1}{2} }[/tex]

[tex]5 \times \sqrt{xy}[/tex]

[tex]5 \sqrt{xy}[/tex]

Hence, the given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]

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Answer:

33 grams

Step-by-step explanation:

We multiply the total weight of the choco. bar (94 grams) by 0.36 to obtain the number of grams of cocoa present:

0.36(94 grams) = 33.04 grams.

The bar contains 33.04 grams of cocoa.  Round this up to 33 grams.

Answer: 33.84 gr

Step-by-step explanation:

You have the following information given in the problem:

- Hans chocolate bar is 36% cocoa.

- The chocolate bar weighs 94 grams.

Therefore, to calculate the amount of grams of cocoa it contains (which you can call x), you must multiply the weight of the chocolate bar by the percentafe of cocoa it has

Therefore, you obtain the following result:

[tex]x=94gr*0.36\\x=33.84gr[/tex]

Let's reason through it.

We are given the inequality that says, in English, that the absolute value of ten times x is greater than -2.

Let's consider three cases:

x is negative

- When x is negative the number in the absolute value will be negative. But because it is inside the absolute value, the number becomes positive. Therefore, for any x that is negative (however small or large), the left side will be positive. Any positive value (however small) is greater than a negative value, so the inequality is satisfied in this case.

x is positive

- When x is positive, the number inside the absolute value will be positive. The absolute value of a positive number is itself, so the left hand side will be positive again. Then, for all positive values of x (however small or large), the inequality will be satisfied because any positive value is larger than -2.

x is zero

- Even in the case of zero, when the left hand side will be zero, the equality is satisfied. This is because zero is greater than -2. If this doesn't immediately make sense, imagine the two numbers on the number line. 0 is to the right of -2, so it is larger.

Since we cannot find a value for x that does not satisfy the inequality, the solution to the inequality is all values of x. See the attached image.

Answer:

All values are solutions

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

rectangle- 8 + 8 = 16

                 2 + 2 =4

rectangles perimeter is  20

square  5 X 4 = 20

sqaures perimeter is 20

Answer:

The rectangular shape has a perimeter of 18 cm. The square shape has a perimeter of 20 cm. The square perimeter is larger by 2 cm.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remark

Just as a guess, the answer should be A or B. It's always a good idea to estimate an answer so that if you get something really far away, you know it is incorrect.

Equation

Set up a proportion for the problem

26/30 is the basic ratio of the home fans wearing the right color

x/45000 is the ratio of those in the entire stadium.

Solution

26/30 = x / 45000                 Cross multiply

30x = 26 * 45000                  Simplify the right

30x = 1170000                        Divide by 30

30x/30 = 1170000/30    

x = 39000 And that is A

Answer:

Step-by-step explanation:

The correct answer is B. The reason why is that you want the total number of floors traveled, so putting each number in an absolute value equation puts it as a positive value. 9 + 12 + 5 + 8 = 34 total floors traveled. Hope that helps.

The correct option is X.

Step-by-step explanation:

From the given figure it is clear that:

1. Pyramid has 4 congruent triangles and a square base.

2. Color of 2 triangles is blue and another two triangles have black and white lines.

3. Triangles with same color or same design can't be on the opposite sides.

Option W is incorrect because it contains 3 blue triangles.

Options Y and Z are incorrect because triangles with same color or same design are on the opposite sides.

Only option X fulfill the above condition.

Therefore the correct option is X.

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Answer: 13 1/3

Step-by-step explanation:

To find the area of a rectangle, multiply the length by the width.

Answer:

Cleo wants to select a shirt from a collection of 13 shirts.   1/13

selecting a card from the spades suit.

rolling a six-sided die.

At a class picnic, the teacher wants to decide which game to  

play: baseball, basketball, tennis, volleyball, soccer, or field hockey.

flipping a coin.

Roxanne wants to decide which one of two pair of shoes she

should wear to a party

spinning a spinner divided into five equal sections.

Clayton wants to take one of his five kids with him to the  

supermarket.  

Step-by-step explanation:

Roxanne wants to decide which one of two pair of shoes she

should wear to a party.    1/2

Clayton wants to take one of his five kids with him to the  

supermarket.     1/5

At a class picnic, the teacher wants to decide which game to  

play: baseball, basketball, tennis, volleyball, soccer, or field hockey.

1/6

Cleo wants to select a shirt from a collection of 13 shirts.   1/13

selecting a card from the spades suit.

There are 13 cards in a suit  so 1/13

rolling a six-sided die.

1/6

flipping a coin.

two sides on a coin

1/2

spinning a spinner divided into five equal sections.

1/5

Card from spades suit--->Cleo with 13 shirts

6 sided die-----> Class picnic

Flipping a coin---->Roxanne with party shoes

spinning spinner with 5 sections---> Cleo takes one of his kids to the supermarket

Frank has 88 oranges at his stand, found by setting up an equation based on the ratio of apples to oranges (6:4) and the total count of fruit (220) and solving for x.

We need to find out the total number of oranges at Frank's fruit stand given that there are 220 fruits in total and the ratio of apples to oranges is 6:4. To do this, let's denote the total number of apples as 6x and the total number of oranges as 4x. The reason behind this is to maintain the ratio of 6 to 4 (or 3 to 2 when simplified). Since the total amount of apples and oranges is 220, we can set up the equation:

6x + 4x = 220

Combining like terms, we get:

10x = 220

Dividing both sides by 10 yields:

x = 22

Now that we have the value of x, we can find the number of oranges (which is 4x) by multiplying 4 by 22:

4x = 4 * 22 = 88

Therefore, Frank has 88 oranges at his fruit stand.

Answer: s, v, w, & x = 13      y = 20        z = 20 + 13√3

Step-by-step explanation:

First, you need to understand the side lengths of each special triangle in the drawing.

A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2

A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b

The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.

So A F = 13 → s = 13 and w = 13

     FB = 13 → x = 13

     EC = 13 → v = 13

Since the x-value of C is 20, then the x-value of E is also 20 → y = 20

ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3.  Since EC = 13, then ED = 13√3.

AE + ED = AD

20 + 13√3 = AD → z = 20 + 13√3

I'm not 100% but i think its A: 3

For this case we have that by definition of power properties:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

We have the following expression:

[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]

It can be rewritten as:

So:

[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]

So, [tex]b = 4\ and\ a = 5[/tex]

Answer:

Option B

Answer:

WEDNESDAY: 45 planted.

THURSDAY: 22 Harvested.

Step-by-step explanation:

Based on the information given in the problem, Maeve plants 5 trees for every 2 tree she harvests. Then the ratio can be expressed as following:

[tex]5:2[/tex] or [tex]\frac{5}{2}[/tex]

Then, you can complete the values in the table as you can see below:

WEDNESDAY

[tex]\frac{5}{2}=\frac{planted}{18}\\\\planted=\frac{18*5}{2}\\\\planted=45[/tex]

THURDAY

[tex]\frac{5}{2}=\frac{55}{harvested}\\\\(harvested)(\frac{5}{2})=55\\\\harvested=\frac{55*2}{5}\\\\harvested=22[/tex]

Answer:

Wed --------45---------

Thu ---------22-----------

Answer:

1. 105°

2. 85°

3. 80°

4. 148°

5. 116°

6. 82°

7. 135°

8. x = 7

9. x = 2

10. x = 1

11. x = 10

Step-by-step explanation:

1. Arc WZ = Arc XY

Arc WZ = 105° Therefore Arc XY = 105°

2. Arc SR = Arc TU

Arc SR = 85° Therefore Arc TU = 85°

3. Arc PQ = Arc QR

Arc PQR = 40° + 40°

Arc PQR = 80°

4. Arc RT = 64°

x = (360° - 64°)/2

x = 296°/2

x = 148°

5. x = 116°

If the chords are congruent to each other, then the arcs are also congruent to each other.

6. x = 82°

If the chords are congruent to each other, then the arcs are also congruent to each other.

7. Arc BC = 90°

x = (360° - 90°)/2

x = 270°/2

x = 135°

8. 2x + 4 = 18

2x = 18 - 4

[tex]\dfrac{2x}{2}=\dfrac{14}{2}[/tex]

x = 7

9. 2x + 1 = 5x - 5

2x - 5x = -5 - 1

[tex]\dfrac{-3x}{-3} = \dfrac{-6}{-6}[/tex]

x = 2

10. 3x + 16 = 12x + 7

3x - 12x = 7 - 16

[tex]\dfrac{-9x}{-9}=\dfrac{-9}{-9}[/tex]

x = 1

11.  3x - 11 = x + 9

3x - x = 9 + 11

[tex]\dfrac{2x}{2}=\dfrac{20}{2}[/tex]

x = 10

Answer:

32.8

Step-by-step explanation:

153.30-125.50

153.3-120.5=33.8 This is how you get the answer

Answer:

Factoring

Step-by-step explanation:

We have the function [tex]x ^ 2 + 5x-6 = 0[/tex]

To factor this expression we must look for two numbers a and b that when adding them give as a result 5 and multiplying them give as a result -6

Then the factorization will have the form

[tex](x + a)(x + b)[/tex]

You can verify that:

[tex]a = 6\\b = -1\\6(- 1) = -6\\6 -1 = 5[/tex]

So:

[tex]x ^ 2 + 5x-6 = (x + 6)(x-1) = 0[/tex]

So:

The solutions are:

[tex]x = -6\\x = 1[/tex]

Answer:

f ( -2 ) = 30

g ( -2 ) = 3

Step-by-step explanation:

when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:

f(x) = -7(-2-2) +2                         g(x) = 2(-2)^2 -5

f(x) = -7(-4) +2                             g(x) = 2(4) -5

f(x) = 28 + 2                                g(x) = 8 - 5

f(x) = 30                                      g(x) = 3

hope this helps!!

Answer:

You can't make any triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so

In this problem

[tex]2+1>2[/tex]

[tex]3>2[/tex] -----> is not true

therefore

You can't make any triangle.