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Final answer:

The number 65 can be expressed in scientific notation as 6.5 × 10¹, where the original decimal was moved one place to the left.

Explanation:

To express the number 65 in scientific notation, we need to write it as a product of a number between 1 and 10 and a power of 10. Since 65 is a relatively small number, we will have only one digit to the left of the decimal point. We write 65 as 6.5 × 10¹, because we have moved the decimal one place to the left to get the number 6.5, which is between 1 and 10. The exponent on the 10 is positive because the original number was greater than 1.

In sciences like chemistry, scientific notation is frequently used to express large or small quantities. This is also helpful when entering data into a calculator; it's important to know the correct procedure for your particular calculator model. In case of uncertainty, consulting an instructor is advised.

Answer:

-12.

Step-by-step explanation:

f(x)=-2x^2+5x-9

which is -18+15-9, which is...

MARK AS BRAINLIEST!!!!!!!!!!!!

To evaluate f(3) for the function f(x)=-2x^2+5x-9, you substitute 3 for x in the equation and simplify the expression to get the result, which is -12.

Replace x with 3: f(3)=-2(3)2+5(3)-9.

Simplify the squares: f(3)=-2(9)+5(3)-9.

Multiply through: f(3)=-18+15-9.

Combine the terms: f(3)=-3-9.

Final result: f(3)=-12.

Therefore, the evaluated result for f(3) is -12.

Use the law of cosines:

Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)

Distance = 9.8 yards.

The answer is A.

The correct answer is A. 9.8 yds is the distance between two receivers.

The Law of Cosines states that for any triangle with sides a, b aand c , and angle [tex]\( \theta \)[/tex] opposite side c, the following equation holds:

[tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\theta) \][/tex]

We want to find d, which corresponds to c in our scenario. Plugging in the values we have:

[tex]\[ d^2 = a^2 + b^2 - 2ab\cos(\theta) \] \[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \cos(30^\circ) \][/tex]

Since [tex]\( \cos(30^\circ) = \sqrt{3}/2 \)[/tex], we can substitute this value into the equation:

[tex]\[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \frac{\sqrt{3}}{2} \] \[ d^2 = 196 + 361 - 14 \cdot 19 \cdot \sqrt{3} \] \[ d^2 = 557 - 266 \cdot \sqrt{3} \][/tex]

Now we can solve for d:

[tex]\[ d = \sqrt{557 - 266 \cdot \sqrt{3}} \][/tex]

Calculating this value gives us [tex]\( d \approx 9.8 \)[/tex] yards to the nearest tenth of a yard.

Therefore, the two receivers are approximately 9.8 yards apart.

Answer:

A

Step-by-step explanation:

The coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Given that, on a coordinate plane, triangle A B C has points (-6, 6), (6, 6), (6, -6). It is being dilated with a scale factor of 1/3

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Here, we will consider the coordinates in place of dimensions,

Therefore,

Scale factor = coordinates of new figure / coordinates of original figure

Considering the first option = A'(-2, 2), B'(2, 2) and C'(2, -2)

Scale factor = A/A' = 2/6 = 1/3

Hence, the coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)

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Answer:

Step-by-step explanation:

Volume=(pi)(radius^2)(height)

Volume=(pi)(5^2)(12)

V=(pi)(25)(12)

V=(pi)(300)

Answer: 300 pi

Step-by-step explanation:

on edge

Answer:

16 feet

Step-by-step explanation:

Answer:

D. 16 Feet

Step-by-step explanation:

Answer:

94 for the first one and 130 for the second

Step-by-step explanation:

Since A=6 and B=4

For the first one

13(6)+ 4(4)

78+16=94

For the second one

(6+4)*13

(10)*13= 130

Answer:

[tex]122 {m}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

2

(

w

l

+

h

l

+

h

w

) \\

=

2

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(

4

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7

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7

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3

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=

122 {m}^{2} [/tex]

Answer:

12

Step-by-step explanation:

three time 2 to the 2nd power is twelve.

use a calculator,man. don't be lazy

Step-by-step explanation:

If y = - 5

Then put value of y

5x + 4(-5) = - 20

5x - 20 = - 20

5x = - 20 + 20

5x = 0

x = 0

Answer:

x = 0

y = -5

Step-by-step explanation:

Since you already have the value of y, all you need to do is plug it into the equation, like so:

5x + 4y = -20

5x + 4(-5) = -20

5x - 20 = -20

Add 20 to both sides:

5x - 20 = -20

    + 20  + 20

___________

5x = 0

Finally, divide both sides by 5:

5x = 0

x = 0

So now you have, x = 0 and y = -5

Answer:

8/15

Step-by-step explanation:

To start off you want both of the fractions to have the same denominator so you will change 2/5 into 6/15 and 2/3 into 10/15.

Than you figure out a number in between being 7, 8, or 9 and divide it by fifteen. Which ever one equals 0.533. (Which in this case is 8) is the numerator to the fraction.

Answer:

D

Step-by-step explanation:

In this problem, we are adding the two equations and we want to get rid of y. To do this, we want one positive y and one negative y with the same coefficient  because when we add the equations they will cancel each other out. The coefficient of the first equation's y is 4, so we want the second to be -4. The coefficient of the second equation's y is -2, and if we want it to be -4 we multiply it by -4/-2= 2, which is D. Once you do that you will get 4y and -4y in the first and second equations respectively and then you can add them to eliminate y!

Answer:

-3x^3+7y^2+9y

Step-by-step explanation:

y - y² + 4y + 7y² – 3 x3 + y² + 4y​

Combine Like Terms:

=y+−y2+4y+7y2+−3x3+y2+4y

=(−3x3)+(−y2+7y2+y2)+(y+4y+4y)

=−3x3+7y2+9y

Answer:

[tex]-15.5+8\frac{1}{5} -1.6-20.4+15.5[/tex]

13.8 feet left to asaend to the surface

Step-by-step explanation:

Answer:

x+8y

Step-by-step explanation:

add them all together

Answer:

i believe its 132

Step-by-step explanation: you need to multiply the two numbers together to find the area.

The area of plywood = 30 feet²

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length.

The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:

Perimeter, P = 2 (Length + Width)

The area of the rectangle is the area covered by its outer boundaries. It is equal to the product of length and width.

The formula of area of rectangle is:

Area = Length × Width unit²

Given,

Length of the plywood (L) = 6 feet

Perimeter of Plywood (P)=  22 feet

Area of Plywood = ?

Perimeter = 2(Length + Width)

22 feet = 2 (6feet +  Width)

Width (W) = (22 /2 - 6) feet

Width (W) = (11 - 6) feet

Width (W) = 5 feet

Area of the plywood (A) = Length × Width

Area = 6feet × 5feet

Area = 30 feet²

Hence, Area of the plywood (A) = 30 feet²

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Answer:option b. 4.9%

Explanation:

1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye / aera of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)²

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probaility is:

 π (4 in)²           4²

--------------- = ------- = 0.0494

π (18 in)²         18²

The correct answer is option B)4.9

1) The probability that a dart is thrown at random within the dartboard will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye/area of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probability is:

π (4 in)²  / π (18 in)²   =    4² /   18²   = 0.0494

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are.

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Answer:

Below in bold.

Step-by-step explanation:

(a) The angles in a triangle add up to 180 degrees, so:

x + x + 2 + 6x + 10  = 180

8x + 12 = 180

8x = 168

x = 168/8 = 21 degrees.

(b)  Angle B = x + 2

= 21 + 2 = 23 degrees.

By setting up an equation and solving for the number of students in the eighth grade class, we find that there must be 174 students to meet the requirement of 75 people including 17 parent chaperones.

To find the number of students in the eighth grade class for the trip to Washington DC, let's use the information provided that 1/3 of the class plus 17 parent chaperones are just enough to satisfy the requirement of 75 people for the trip. We can set up an equation to solve for the total number of students (S) in the class:

1/3 * S + 17 = 75

First, subtract 17 from both sides of the equation:

1/3 * S = 75 - 17

1/3 * S = 58

Then, multiply both sides by 3 to find the total number of students (S):

S = 58 * 3

S = 174

Thus, there must be 174 students in the eighth grade class.

Answer:

C. 5.2 cm

Step-by-step explanation:

Arc length formula:

[tex] s = \dfrac{n}{360^\circ} 2 \pi r [/tex]

where s = arc length

n = central angle of arc

r = radius of circle

diamter = d = 10 cm

r = d/2 = 10 cm/2 = 5 cm

n = 60 deg

[tex] s = \dfrac{n}{360^\circ} 2 \pi r [/tex]

[tex] s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm [/tex]

[tex] s = 5.2~cm [/tex]

Answer: 5.2 cm

Answer:

x = 16

Step-by-step explanation:

Simplifying

(9x + -8) + (x + 10) + (x + 2) = 180

Reorder the terms:

(-8 + 9x) + (x + 10) + (x + 2) = 180

Remove parenthesis around (-8 + 9x)

-8 + 9x + (x + 10) + (x + 2) = 180

Reorder the terms:

-8 + 9x + (10 + x) + (x + 2) = 180

Remove parenthesis around (10 + x)

-8 + 9x + 10 + x + (x + 2) = 180

Reorder the terms:

-8 + 9x + 10 + x + (2 + x) = 180

Remove parenthesis around (2 + x)

-8 + 9x + 10 + x + 2 + x = 180

Reorder the terms:

-8 + 10 + 2 + 9x + x + x = 180

Combine like terms: -8 + 10 = 2

2 + 2 + 9x + x + x = 180

Combine like terms: 2 + 2 = 4

4 + 9x + x + x = 180

Combine like terms: 9x + x = 10x

4 + 10x + x = 180

Combine like terms: 10x + x = 11x

4 + 11x = 180

Solving

4 + 11x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + 11x = 180 + -4

Combine like terms: 4 + -4 = 0

0 + 11x = 180 + -4

11x = 180 + -4

Combine like terms: 180 + -4 = 176

11x = 176

Divide each side by '11'.

x = 16

Simplifying

x = 16

Your answer would be x = 16.

To find the answer you need to collect like terms on the left hand side by adding the x-terms and the numbers, and then solving for x.

9x + x + x = 11x

-8 + 10 + 2 = 4

11x + 4 = 180

- 4

11x = 176

÷ 11

x = 16

I hope this helps!

Answer:

-3

Step-by-step explanation:

the number in front of the variable is the coefficient

Answer:

4:9 ratio

Step-by-step explanation:

We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.

For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.

For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 * 2) and for rectangle 2 it would be 6 (2 * 3)

If we calculate the area it would be:

rectangle 1:

2 * 4 = 8

rectangle 2:

3 * 6 = 18

Which means that the radius is 8/18 = 4/9

What is a 4: 9 ratio

Answer:

15

Step-by-step explanation:

using the 3 : 4 : 5 triangle triple:

we see that this triangle follows the same ratio

9:12 = 3:4, so the hypotenuse = 5*3 = 15

ANSWER: 15

Answer:

Unimodal Skewed

Step-by-step explanation:

The best describes the shape of this distribution is E. Bimodal skewed

If a histogram has one hump, it is unimodal; if it has two humps, it is bimodal; and if it has many humps, it is multimodal.

If a histogram is not symmetric, this will refer to as skewed.

It is positively skewed if the upper tail is longer than the lower tail.

It can have multiple peaks or be bimodal (two peaks) (or many peaks).

But a single distribution with two peaks characterizes a bimodal distribution.

This will appear as two separate bell curve shapes contained within two normal distributions on a graph that is displayed side by side.

We are given graph has 2 humps, we can conclude that the given distribution is Bimodal skewed.

Therefore, the given distribution is (E) Bimodal skewed as the distribution has 2 humps.

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Answer:

1.6 km

Step-by-step explanation:

subtract 2.5 from 4.1

Answer:

221.8°

hope this helps:)

Answer:

D. -6.

Step-by-step explanation:

The inverse is the number when added to 6  results in 0.

So it is 0 - 6 = -6.   (6 + -6 = 0)

Answer: x+6

Step-by-step explanation:

6 more than (+) x

Answer:

[tex]\dfrac{1}{18}[/tex]

Step-by-step explanation:

Number of Headband Types=3

P(Reese will  choose a blue headband)=1/3

Number of Types of Necklace=2

P(Reese will  choose a  silver  necklace)=1/2

Number of Types of Earrings=3

P(Reese will  choose a  silver earrings)=1/3

In Probability Theory,

P(A AND B)=P(A) X P(B)

Therefore, the probability that Reese will  choose a blue headband, a silver  necklace, and a silver pair of earrings

[tex]=\dfrac{1}{3}X \dfrac{1}{2}X\dfrac{1}{3}\\\\=\dfrac{1}{18}[/tex]