Please help, 15 points

Answer:

\( ➜- 8 - x + x = x - 4x + x\)

\( ➜- 8 = - 2x\)

\( ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} \)

\(➜x=4\)

Answer: y= 0.64 is the answer

Answer:

12.17secs

Step-by-step explanation:

Given the equation that models the height as y=-16x^2+187x+93

The rocket will hit the groung at y = 0

The equation becomes;

0 =-16x^2+187x+93

16x^2-187x-93 = 0

Factorize

x = 187±√187²-4(16)(-93)/2(16)

x = 187±√34,969+5952/32

x = 187±√40,921/32

x = 187±202.29/32

x = 187+202.29/32

x = 389.29/32

x = 12.17secs

Hence the required time that t will take is 12.17secs

Answer:

ii)  c = 4    iii) c = 8

Step-by-step explanation:

A = x axis intercept = 1/2 c

B = y axis intercept = c

ii)  Area of a triangle = 1/2 x base x height

                               4 = 1/2 x (1/2)c x c

                              c² = 16

                                c = 4

iii)  2√5 will be the hypotenuse of a right-angled triangle with base 1/4 c and height 1/2 c

(2√5)² = (1/4 c)² + (1/2 c)²

      20 = 1/16 c² + 1/4 c²

      20 = 5/16 c²

         c² = 64

          c = 8

Answer:

Any real number.

Step-by-step explanation:

I dunno what you're asking, but Im assuming you need what a equals to.

\(a+5(2a-1)+3=11a-2\\a+10a-5+3=11a-2\\11a-2=11a-2\\\)

The answer is any real number.

Answer:

-3-5x/2

Step-by-step explanation:

You would want to move all terms that don't contain y to the right and solve.

Answer:

20 % are red

Step-by-step explanation:

I THINK this is what you mean:

24 blue + 6 red = 30 blocks total

6 red / 30 total = 6/30 = .2   = 20 %

Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

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Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

The missing angle measures are Angle TUZ measures 15°. Angle VUT measures 85°. Angle ZTUV measures 275°.

Based on the given information, we can find the missing angle measures as follows:

Angle ZTUW measures 120°.

Angle ZWUV measures 45°.

To find the measure of angle TUZ, we subtract the known angles from the straight angle (180°): 180° - 120° - 45° = 15°.

To find the measure of angle VUT, we use the angle addition postulate, which states that the sum of two adjacent angles is equal to the larger angle: VUT + TUZ = 100°, so VUT = 100° - 15° = 85°.

To find the measure of angle ZTUV, we add the known angles: ZTUV = 120° + 45° + 110° = 275°.

Therefore, the missing angle measures are:

Angle TUZ measures 15°.

Angle VUT measures 85°.

Angle ZTUV measures 275°.

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Answer:

0.88888888888

Step-by-step explanation:

Answer:

use a calculator

Step-by-step explanation:

Answer:

x = 6 if that's what your asking

Step-by-step explanation:

please give brainliest

Answer:

3x or 7.333333

Step-by-step explanation:

3(x+2)=24

     -2    -2

____________

    3x=22

On a number line, plot the negative integers. The number that is further to the left will be less than the other.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have to explain how a number line can be used to compare two negative integers.

Integers are whole numbers they can be negative whole numbers or positive whole numbers for example 2, 4, 1, -8, 0, etc.

Plot the negative integers on a number line. It will be smaller than the other number if it is further to the left.

The numbers always go up (become "more positive") to the right and down (become "more negative") to the left on a number line. Numbers to the right are bigger than numbers to the left, and the opposite is true the other way around.

Thus, on a number line, plot the negative integers. The number that is further to the left will be less than the other.

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The equation in spherical coordinates is ρ = 5. This equation represents a sphere centered at the origin with a radius of 5 units in the ρ direction.

To write the equation \(x^2 + y^2 + z^2 = 25\) in spherical coordinates, we need to express x, y, and z in terms of the spherical coordinates (ρ, θ, φ).

In spherical coordinates, ρ represents the distance from the origin to the point, θ represents the azimuthal angle measured from the positive x-axis in the xy-plane, and φ represents the polar angle measured from the positive z-axis.

To transform the Cartesian coordinates (x, y, z) to spherical coordinates, we can use the following equations:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Now let's substitute these equations into the given equation:

\((x^2) + (y^2) + (z^2) = 25\)

(ρ sin(φ) cos(θ))² + (ρ sin(φ) sin(θ))² + (ρ cos(φ))² = 25

ρ² (sin²(φ) cos²(θ) + sin²(φ) sin²(θ) + cos²(φ)) = 25

ρ² (sin²(φ) (cos²(θ) + sin²(θ)) + cos²(φ)) = 25

ρ²(sin²(φ) + cos²(φ)) = 25

ρ²= 25

This simplifies to:

ρ = 5

Therefore, the equation in spherical coordinates is ρ = 5. This equation represents a sphere centered at the origin with a radius of 5 units in the ρ direction.

In spherical coordinates, the equation ρ = 5 describes all points that are at a distance of 5 units from the origin, regardless of the values of θ and φ.

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Answer:

5 x ^2  −  3 x  +  2  =  3 x  −  4 x  −  1  =  − x  −  1

Can't explain, cause it will be more confusing.

Answer: 15%

Step-by-step explanation:

The Percentage decrease will be:

= Decrease in weight / Old weight × 100

= (200 - 170) / 200 × 100

= 30/200 × 100

= 15%

The Percentage decrease is 15%

Answer:

Number = 4.8367

Rounded to the nearest tenth means, rounded to the number after the decimal point.

We will have to round down because the hundredth is less than 5

So, we get,

4.8367 becomes, 4.8

Therefore 4.8367 rounded to the nearest tenth = 4.8

If my answer helped, kindly mark me as the Brainliest!!

Thank You!

The number 4.8367, when rounded to the nearest tenth, becomes 4.8

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The digit 5 acts as a limit.

if the right sided digit to the digit where we've to round off is < 5, we keep it same and make all right sided values 0, and if the right sided digit  is > 5, then we make it increase by 1 and rest of the right sided digits become 0. If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Rounding to the nearest tenth means rounding the first place to the right of the decimal point.

The given number is 4.8367

The digit on the right of the decimal point is 8. On the right of that, there is 3, which is < 5, so the first right digit on right of the decimal point, after rounding, will have no change,and rest of the numbers from the right first place of the decimal point will get trimmed off.

Thus, we get:

4.8367 → 4.8 (after rounding to the nearest tenth)

Thus, the number 4.8367, when rounded to the nearest tenth, becomes 4.8

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To show that the closure (denoted as e') of a real set e can be described as the smallest closed set that contains e, we need to prove two things:

1. e' is a closed set containing e.

2. If there is another closed set containing e, it must also contain e'.

1. By definition, e' consists of e and all the accumulation points of e. Since e' contains all accumulation points, there are no accumulation points outside e'. Therefore, e' is closed, and it contains e.

2. Let's suppose there's another closed set, C, containing e. Since C is closed, it must contain all accumulation points of e. Thus, e' (e and its accumulation points) is a subset of C. So, any closed set containing e must also contain e'.

From these two points, we can conclude that the closure e' of a real set e is the smallest closed set that contains e.

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The arithmetic sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43,....

Common difference = 4

First term = 3

The formula for the sum of the first n terms of an arithmetic sequence is:

Sₙ = ⁿ/₂[2a + (n − 1)d]

where:

n = the number of terms to be added.

a = the first term in the sequence.

d = common difference

We are told that sum of the first 9 term is 171. Thus:

(9/2) [2a + (9 − 1)d]  = 171

(2a + 8d) = 38   ----(1)

Sum of the next 5 term is 235.

Thus, sum of the first 14 terms = 235 + 171 = 406

(14/2) [2a + (14 − 1)d]  = 406

7(2a + 13d) = 406

2a + 13d = 58    -----(2)

Subtract eq 1 from eq 2 to get:

5d = 20

d = 4

2a + 13(4) = 58

2a = 58 - 52

a = 3

Sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43,....

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The closest that the family will come to the waterfall while on the road is 5.6 miles.

To solve this problem, we can use the law of cosines. Let x be the distance that the family travels from the point where the bearing is S71E to the point where the bearing is S35E, and let d be the distance from the family's starting point to the waterfall.
We have:
cos(71) = d/x
cos(35) = d/(x+8)
Multiplying both sides of the first equation by x and both sides of the second equation by (x+8), we get:
d = x cos(71)
d = (x+8) cos(35)
Setting the right-hand sides of these equations equal to each other and solving for x, we get:
x cos(71) = (x+8) cos(35)
x = 8 cos(35)/(cos(71)-cos(35))
Plugging this into the first equation above, we get:
d = x cos(71) = 8 cos(35) cos(71)/(cos(71)-cos(35))
This gives us the distance from the family's starting point to the waterfall. To find the closest distance that the family will come to the waterfall while on the road, we need to subtract the radius of the waterfall from this distance. Let's assume that the radius of the waterfall is 50 feet.
The closest distance that the family will come to the waterfall while on the road is:
d - 50 = 8 cos(35) cos(71)/(cos(71)-cos(35)) - 50
This is approximately equal to 5.6 miles. Therefore, the closest that the family will come to the waterfall while on the road is 5.6 miles.

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Answer:

Inequality Form: x > 1

Interval Notation: (1, \infty )

Step-by-step explanation:

Answer:

mean= 12

median= 10

mode= 10

Step-by-step explanation:

mean: add up all values, then divide by how many values you have(84/7=12)

median: when sorted, value in middle(See pic)

mode: value that appears most

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A function is a mathematical relationship between the domain and the range, two sets of values. The range is the set of output values that the function produces, and the domain is the set of input values for which it is defined.

What is a function, exactly?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

Consider the function f(x) = x^2 as an illustration. This function generates the value f from the supplied value x. (x). This function will return the value 9 if the given value is 3, since 3^2 = 9.

Generally speaking, a function describes the relationship between two sets of values (the domain) (the range). For instance, the relationship between the input value x and the output value f(x) is described by the function f(x) = x^2.

A formula, which is a guide that explains how to calculate the output value for a specific input value, is typically used to express a function. For instance, the function f(x) = x^2 has the formula f(x) = x^2. We just enter the input value into the formula and simplify to determine the output value for a particular input value.

A fundamental idea in mathematics, functions are used to model and describe a wide variety of real-world occurrences. For instance, the quadratic function f(x) = x^2 + 2x + 1 can be used to simulate how an item would move in the presence of gravity. A population's expansion over time can be predicted using the exponential function f(x) = 3^x.

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Step-by-step explanation:

In order to get a letter alone, you have to do the opposite of what's currently being performed, and you have to do it on both sides of the equal sign

11.)

\(14 = \frac{a}{8} \)

Since the a is being divided by 8, that means we have to multiply by 8 on both sides. This gets the a alone. 14x8= 112, meaning

a = 112

12.)

\(20p = 200\)

Since the p is being multiplied by 20, that means we need to divide by 20 and on both sides. Gets P alone, and 200 divided by 20 is 10, meaning

p = 10