Classify each number according to its value.
4.2 × 10-6
2.1 × 10-3
3.1 × 10-2
3.2 × 10-5
3.5 × 10-4
5.8 × 10-3
5.2 × 10-4

Answer:

use vertex form of parabola:

y=a%28x-h%29%5E2%2Bk....if vertex (0,7), we have

y=a%28x-0%29%5E2%2B7

y=ax%5E2%2B7......use point (3,2) to find a

2=a%2A3%5E2%2B7

2=9a%2B7

2-7=9a

-5=9a

a=-5%2F9

so, your equation is: y=-%285%2F9%29x%5E2%2B7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

not right just need points

Answer:

C

Step-by-step explanation:

-Since dot or where the line originates is at 4 we know the answer will have the number 4.

-The dot is hollow, meaning it does not include the number it is on. So it cannot be "blank and equal to."

-Since the arrow points towards the right, we know it wants all values greater than 4, so we do: x>4.

-Back to my second point, we know it is not D because the dot is open and it does not include 4, so it cannot be equal to it.

Answers:

The z scores are approximately:

From those scores, we can say:

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

The dataset of the University of Oregon's football team is an illustration of combination and probability

The given parameters are:

Jersey = 4

Pants = 4

So, the number of jersey/pant combination is:

Combination = 4 * 4

Combination = 16

Hence, there are 16 combinations of jersey/pant

There is only one combination of yellow jersey and green pant from the total of 16 combinations.

So, the probability is:

P = 1/16

Hence, the probability of picking a yellow jersey and green pant is 1/16

See attachment

From the attachment, we have a total of 8 possible combination of shoe and sock

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Answer: It would be C and D

Step-by-step explanation:

By the phythagorean theorem, the 2 legs would equal to the hypothesize.

Choice A would not form a triangle.

Choice B does not follow the pythagorean theorem. 84 plus 16 does not equal 100.

Choice C does. 8 + 121 = 129.

Choice D does. 1 + 3 = 4.

The algebraic method for solving simultaneous linear equations is the substitution method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The algebraic method for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

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Answer:

Step-by-step explanation:

The solution to the system of equation are (0, -2) and (1, 0)

System of equations are equations that has unknown and more than 1 equations.

Given the system of equations

y = x^2 + x – 2

y = 2x – 2

Equate both expressions

x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1

If x = 0

y = 0 - 2 = -2

If x = 1

y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)

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"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

Answer:

25 pizzas and 36 subs

Step-by-step explanation:

5x+3x=233 --> but there are 11 more subs that pizza, so 11x3 is 33

(5x+3x) +33 = 233

5x+3x= 200

8x=200

x=25

so then 5 dollars by 25 pizzas, and 36 (25+11) subs at 3 dollars = 233$

Answer:

4 ft 8 inches = 56 inches

Step-by-step explanation:

We know that there are 12 inches in a foot so first convert 4 ft to inches

4 ft = 4*12 = 48 inches

Add the 8 inches left over

48 inches + 8 inches

56 inches

4 ft 8 inches = 56 inches

Answer: x = 45

Step-by-step explanation:

The equation is 5.75 x + 168 = 426.75 and cost of the labor per hour is 45.

It is required to find the value of x.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The expression is

5.75 x + 168 = 426.75,

where 5.75x represents the cost of labor per hour, 168 is the cost of the parts, and 426.75 is the total.

According to given question we have,

5.75 x + 168 = 426.75,

Substract 168 from both sides we get,

5.75 x + 168-168 = 426.75-168

5.75x = 258.75

x = 45

Therefore, the equation is 5.75 x + 168 = 426.75 and cost of the labor per hour is 45.

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Answer:

144

Step-by-step explanation:

I think.

Answer:

[tex]\huge\boxed{\bf\:30^{\circ}}[/tex]

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

[tex]\rule{150pt}{2pt}[/tex]

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

from the given figure , we can easily see that ∠AGB = ∠EGD

this is because these angles are vertically opposite , i.e. , the angles that share the same vertex ! also , it's known that two angles that are vertically opposite are equal to each other !

[tex]\therefore \: \bold{\angle \: EGD= 30\degree}[/tex]

hope helpful ~

Answer:

Step-by-step explanation:

Remark

The exposed perimeter of the triangle is just the two smaller legs of the right triangle (6 + 8) + 10 units at the bottom of the rectangle + two 1/2 circles.

The area of the figure is the area of the triangle at the top + the area of the two 1/2 circles + the rectangle in the middle.

Givens

Formula

A

Perimeter = 2 legs of the triangle + 2 half circles + bottom line

B

Area = (1/2) Leg1*leg2 + pi * r^2 + L * w

Solution

A Perimeter

Perimeter = 6 + 8 + 2*pi *r + 10

Perimeter = 24 + 2*3.14*4

Perimeter = 25.12

B Area

Area = 1/2 * 8 * 6 + 3.14*4^2 + 10* 8

Area = 24 + 50.24+ 80

Area = 150.24

Answer

P = 25.12

Area = 150.24

Answer:

Answer = 9/5

Step-by-step explanation:

2 yards = 72 inches (one yard equals 36 inches) Simplify 72/40 in and you get 9/5.

Hope that helps!

Answer:

9/5

Step-by-step explanation:

2 yard = 6 feet

40 inches = 3 4/12 feet

_____________________

Reduce 3 4/12 to 10/3 by simplification, convert 6 to a fraction

6/1 ÷ 10/3

Flip the 10/3 to multiply

6 × 3

1 × 10

= 18/10

Simplify 18/10 by dividing by 2

18 ÷ 2

10 ÷ 2

= 9/5

Answer:

144

Step-by-step explanation:

In a regular decagon like the one shown in the picture each angle is 144 degrees and it all adds up to 1,440. If you want proof search up "angle of a decagon"

Answer:

[tex]\boxed{\tt = 1 2√5−24√(14)+2√(30)−8√(21)}[/tex]

Or

[tex]\boxed{ \tt \approx88.7}[/tex]

Step-by-step explanation:

Apply FOIL method to expand:

[tex] =\tt6√2(√(10)−4√7)+2√3(√(10)−4√7)[/tex]

[tex] \tt \:=6√2√(10)+6√2(−4√7)+2√3(√(10)−4√7)[/tex]

[tex] \tt \: = 6√2√(10)+6√2(−4√7)+2√3√10+2√3(−4√7)[/tex]

Simplify:

[tex] =\tt6√(20)+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt \: = 6 \sqrt{2 {}^{2} \times 5} +6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt \: = 6(2√5)+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt = 12√5+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt = 12√5−24√(14)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt \: = 12√5−24√14+2√(30)+2√3(−4√7)[/tex]

[tex] \tt \: = 12√5−24√(14)+2√(30)−8√(21)[/tex]

or

[tex] \tt \: \approx88.7[/tex]

[tex]\rule{230pt}{2pt}[/tex]

[tex]\left( 6 \sqrt 2 + 2 \sqrt 3 \right) \left( \sqrt{10} -4 \sqrt7 \right)\\\\=\left(6\sqrt 2 \right) \left(\sqrt{10} \right) - \left(6\sqrt 2\right)\left(4\sqrt 7 \right)+\left(2\sqrt 3 \right) \left(\sqrt{10} \right)-\left(2\sqrt 3 \right) \left(4 \sqrt 7 \right)\\\\=6\sqrt{2 \cdot 10} -24\sqrt{2 \cdot 7} + 2\sqrt{10 \cdot 3} - 8 \sqrt{3 \cdot 7}\\\\=6\sqrt{4 \cdot 5}-24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\=6\cdot 2\sqrt 5-24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\[/tex]

[tex]=12\sqrt{5} -24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\\approx -88.68[/tex]

The value of a will be 0.125. Then the value of a is positive then the parabola will be upward.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

A parabola opening up or down has vertex (0,-4) and passes through (-12,14).

The equation of the parabola is given as

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

(h, k) = (0, -4)

Then the equation of the parabola will be

y = a(x)² - 4

The parabola is passing through (-12, 14). Then the value of a will be

   14 = a(-12)² - 4

   14 = 144a - 4

144a = 18

     a = 1/8

     a = 0.125

Then the equation of the parabola will be

y = 0.125x² - 4

If the value of a is positive then the parabola will be upward.

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Answer:

B

Step-by-step explanation:

Find the volume of the wading pool

Use V = pi * r^2 * h

Givens

r = 6 feet

h = 1.5 feet

pi = 3.14

2 f^2 takes 2 minutes.

Solution

V = pr * r^2 + h

r = d/2

r = 6 / 2

r = 3 feet

Put the givens into the formula

V = 3.14 * 3 * 3  * 1.5

V = 42.39 cubic feet

Time

2 cubic feet takes 1 minutes

42.39 cubic feet takes x                  

2/42.39 = 1/x                      Cross multiply

2x =  42.39                         Divide by 2

2x/2 = 42.39/2

x = 21 rounded to the nearest whole number.

Answer:

95%

Step-by-step explanation:

Answer:

ok , using Pythagoras theorem hyp²=opp²+adj² therefore /CB/ will be opp , Making A the angle

7²=opp²+5² which is 49=x²+25

x²=49-25=✓24

=4.9

using SOH CAH TOA

sin A = 4.9/7

=0.7 , A is then sin-¹ 0.7

=136

use cosine since you are given the adjacent side and the hypotenuse

Cos θ = [tex]\frac{adj}{hyp}[/tex]

Cos θ = [tex]\frac{5}{7}[/tex]

use the inverse of cosine to find the angle

θ = [tex]cos^{-1}(\frac{5}{7})[/tex]

θ = 44.4153086...

θ = 44.42°

Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.

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Answer:

-8, 8

Step-by-step explanation:

[tex] {x}^{2} - 47 = 17 \\ \\ {x}^{2} = 17 + 47 \\ \\ {x}^{2} = 64 \\ \\ x = \pm\sqrt{64} \\ \\ x = \pm \: 8 \\ \\ x = - 8, \: \: 8[/tex]

Answer:

Step-by-step explanation:

A rectangular garden has vertices at

(x = 4, y = 3), (x = 6, y = 3), (x = 6, y = 9), and (x = 4, y = 9).

To plot each vertex of the garden find on the graph the x and y coordinate of the point and mark the point.