HELLO! I need aid with my assignment please, all the equations and to be solved. Please!

Answer: 19 and 14

Step-by-step explanation:

19^2+14^2= 557

What I did to start it is I tried 20 and 15 because I know the square roots of those and once I added them I saw that their sum was too big, so then I tried 19 and 14 because 19-14 is 5. It was really just guess and check :)

Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

Answer:

road

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf \{-3, 1/2\}}[/tex]

Step-by-step explanation:

4x² + 10x = 6

Take 2 common

2(2x² + 5x) = 6

Divide 2 to both sides

2x² + 5x = 3

Subtract 3 to both sides

2x² + 5x - 3 = 0

Using mid-term break

2x² + 6x - x - 3 = 0

Take common

2x(x + 3) - 1(x + 3) = 0

Take (x + 3) common

(x + 3)(2x - 1) = 0

Either,

x + 3 = 0      OR     2x - 1 = 0

x = -3           OR       2x = 1

x = -3            OR     x = 1/2

[tex]\rule[225]{225}{2}[/tex]

Answer: x = 3 or (-1/2)

Step-by-step explanation:

Given equation

4x² + 10x = 6

Subtract 6 on both sides

4x² + 10x - 6 = 6 - 6

4x² + 10x - 6 = 0

Use cross-multiplication to factorize the quadratic

Starting with:

2x             -6

2x             1

This gives us:

(2x - 6) (2x + 1) = 0

Assume each value in the parenthesis to be 0

PART I:

2x - 6 = 0 ⇒ Given equation

2x - 6 + 6 = 0 + 6 ⇒ Add 6 on both sides

2x / 2 = 6 / 2 ⇒ Divide 2 on both sides

[tex]\boxed{x=3}[/tex]

PART II:

2x + 1 = 0 ⇒ Given equation

2x + 1 - 1 = 0 - 1 ⇒ Subtract 1 on both sides

2x / 2 = -1 / 2 ⇒ Divide 2 on both sides

[tex]\boxed{x=-\frac{1}{2} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

the answer is 46.47937775048613

Answer:

I think the answer is 3.

Step-by-step explanation:

First make arrow diagram of function f and g.

Then show it as composite function of fog(x) in arrow diagram.

Then in range you find -8 whose domain as x is 3.

Data collected about a population is not a characteristic of both observational studies and experiments.

Through experiments, two variables' cause and effect relationships are examined. This is where they differ from observations and interviews, which can only assume the existence of contexts and cannot provide evidence for them. The environment of the test subjects is managed in an experiment depending on the issue.

Three things characterize statistical experiments in general:

There are various outcomes that the experiment could produce.

In an experiment, the cause, the independent variable, is changed while the effect, the dependent variable, is measured and any unrelated factors are controlled.

It is possible to anticipate every outcome.

Chance determines how the experiment turns out.

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We know that this ratio is directly because the two magnitudes go up.

In this case we will get the proportionality constant by dividing any term of the second magnitude by the first.

[tex]9 \: \div \: 3 \: = \: \boxed{3}[/tex]

Now that we know that k = 3, we can know how much "y" will be if x = 5.

We just multiply:

[tex]3 \: \times \: 5 \: = \: \boxed{ \bold{ 15}}[/tex]

Answer:

220

Step-by-step explanation:

We need to find the 3rd side length

We already know the hypotenuse and one side, so we can use the Pythagorean formula.

101^2 = a^2 + 20^2. A is the third side, and solving for it, we find that it equals 99.

Side 1 = 101

Side 2 = 99

Side 3 = 20

101 + 99 + 20 = 220

The completion of the following table under different depreciation methods is as follows:

Method                           Year 1                     Year 2

Straight line                   $18,000                 $18,000

Units of production      $54,000                 $13,500

Declining balance        $37,600                $22,560

MACRS (5-year class)   $18,800                $30,080

Cost of machine = $94,000

Residual value = $4,000

Depreciable value = $90,000 ($94,000 - $4,000)

Estimated useful life = 5 years

Depreciation expense:

Straight-line method = $18,000 ($90,000/5)

Estimated units of produciton = 100,000

Unit depreciation rate = $0.90

Actual production   Depreciation

Year 1 = 60,000      $54,000 ($0.90 x 60,000)

Year 2 = 15,000      $13,500 ($0.90 x 15,000)

Declining Balance:

Year 1 = $37,600 ($94,000 x 40%)

Year 2 = $22,560 ($94,000 - $37,600) x 40%

MACRS:

Year 1 = $18,800 ($94,000 x 20%)

Year 2 = $30,080 ($94,000 x 32%)

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The answer is 1

10¹ = 10

i hope it was helpful

Answer: [tex]8\pi[/tex]

Step-by-step explanation:

The period is [tex]\frac{2\pi}{1/4}=8\pi[/tex].

Step-by-step explanation:

Ig by dividing 12.50 and 250

Answer:

38

Step-by-step explanation:

I'll say that Sana's age is A, Rabia's age is B, and Saleem's age is C.

A + B + C = 47

Three years ago, everyone was three years younger, so we can write the expression as:

(A-3) + (B-3) + (C-3) = x

x is the total age three years ago.

The above equation is the same thing as:

A + B + C - 9 = x

Since we know that A + B + C is 47, we use that number instead.

47 - 9 = x

38 = x

So three years ago, their total age was 38 years old.

The graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.

When an object (like the stick in the cartoon) blocks some of the Sun's light, it casts a shadow. The shadow always points away from the Sun. How long the shadow is depends on how low or high the Sun is in the sky. If the Sun is low, we see a longer shadow. Is the Sun is high, we see a shorter shadow.

Length of shadow due to the Sun's light is smallest when the Sun is vertically above. This happens at 12 noon.

Thus the graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.

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The area of the large rectangle by using the strategy is; 168cm².

The area of the rectangle can be determined by multiplying the length and width of the rectangle as follows;

Area = Length × width

Area = (10cm + 4cm) × (10cm × 2cm)

Area = (100+20+40+8)cm²

Area = 168 cm².

The strategy used above entails that the two binomials used to represent the length and width of the rectangle are multiplied according to binomial multiplication.

The strategy is that each term of the first binomials is used to multiply the terms in the second polynomial and the aggregate result of the multiplications is determined.

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The equation of the directrix is y = -5

The equation is given as:

(x -1)^2 = 12(y + 2)

Express 12 as a product of 4 and 3

(x -1)^2 = 4 * 3(y + 2)

The parabola is represented as:

(x -h)^2 = 4p(y - k)

Where the directrix is

y = k - p

By comparison, we have:

k = -2 and p = 3

So, we have:

y = -2 - 3

Evaluate

y = -5

Hence, the equation of the directrix is y = -5

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The true statement is mean > median

The mean is the average value.

So, we have

Mean = Sum/Count

This gives

Mean = (8 * 1 + 10 * 3 + 14 * 2)/(1 + 3 + 2)

Evaluate

Mean = 11

The mode is the measure with the highest frequency.

So, we have

Mode = 10

The median is the middle element

So, we have

Median = 10

The mean (11) is greater than the mode and the median

Hence, the true statement is mean > median

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The place value in thousands for the 0 in 10000 is 0 thousands

From the question, we are to the determine the place value in thousands for the 0 in the given number

The given number is

10000

The place value in thousands for the 0 in 10000 is 0 thousands

Hence, the place value in thousands for the 0 in 10000 is 0 thousands

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Answer:

12.5 inches

Step-by-step explanation:

We use proportion to calculate the scale drawing

27 feet = 5 inches, so

67.5 feet = more inches (we know that it would be bigger than 5 inches)

We then put the bigger number on top and crossmultiply by saying:

67.5 over 27 × 5

Your answer should come out as 12.5 inches.

Answer:

22.6

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=24^2

b^2=512

b=22.6

Answer:

[tex]x = 16\sqrt{2}[/tex]

Step-by-step explanation:

we are given a right triangle.

then

In order to determine x we need to use

the Pythagorean theorem:

[tex]x^{2}+8^{2}=24^{2}[/tex]

⇔ x² + 64 = 576

⇔ x² = 576 - 64

⇔ x² = 512

⇔ x² = 2⁹

⇔ x² = 2 × 2⁸

[tex]\Longleftrightarrow x=\sqrt{2\times 2^{8}} =\sqrt{2\times \left( 2^{4}\right)^{2} }[/tex]

[tex]\Longleftrightarrow x= \sqrt{\left( 16\right)^{2} } \times \sqrt{2[/tex]

[tex]\Longleftrightarrow x = 16\sqrt{2}[/tex]

Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

For this problem, the other parameters are:

[tex]\overline{x} = 21, \sigma = 26.8, n = 225[/tex]

Hence the bounds of the interval are:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 21 - 1.96\frac{26.8}{\sqrt{225}} = 17.5[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 21 + 1.96\frac{26.8}{\sqrt{225}} = 24.5[/tex]

The interval is: (17.5, 24.5).

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Using it's concept, it is found that there is a 27.3% probability that someone throws the 11-sided die one time and rolls a number 9 or higher.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 11 numbers, 3 of which are 9 or higher, hence the probability is:

p = 3/11 = 0.273 = 27.3%.

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Answer is slope of 5

Step by step

You can graph the slope as seen on the attached picture. You go up 30, you go right +6. Slope is y/x, so 30/6, equals 5

You can also use the slope formula

(y2-y1) over (x2-x1)

Using points on the graph

(6,0) and (0,-30)

(-30-0 ) over (0-6)

-30 over -6

-30/-6

= 5

The circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

The steps involved in inscribing a triangle;

If the line drawn from point B to point P measures 2 inches, then the diameter is

=  2 × 2

= 4 inches.

The formula for calculating the circumference of a circle is given as;

Circumference = 2 π r

Radius = diameter/ 2

Radius = 4/2 = 2 Inches

Substitute the values

Circumference = 2 × 3. 142 × 2

Circumference = 12. 57 inches

Area = π r²

Area = 3. 142 × 2²

Area = 3. 142 × 4

Area = 12. 57 square inches

Thus, the circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

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The solution values in order from smallest to largest are;

let

(x - 5)-2 = 14

-2x + 10 = 14

-2x = 14 - 10

-2x = 4

x = 4/-2

x = -2

4x - 5 = -8

4x = -8 + 5

4x = -3

x = -3/4

x = -0.75

(x + 3) / 5 = -2

x + 3 = -2(5)

x + 3 = -10

x = -10 - 3

x = -13

1/2x + 4 = -1

1/2x = -1 - 4

1/2x = -5

x = -5 ÷ 1/2

= -5×2/1

x = -10

x + 2 = 6/-4

-4(x + 2) = 6

-4x - 8 = 6

-4x = 6 + 8

-4x = 14

x = 14/-4

x = -3.5

Therefore, the smallest value is -13 and the largest value is -0.75.

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Answer:

A minimum of 21250 packets per day.

Step-by-step explanation:

If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.

The factory is open 6 days a week.

They need 100,000 packets.

They have 15,000 packets.

6 subtract 2 is 4.

100,000 subtract 15,000 is 85,000.

They need 85,000 packets in 4 days.

That is a minimum of 21250 packets per day.

Answer:

3+37

11+29

17+23

20+20

Step-by-step explanation:

It's 20

(20+20 = 40)

Hope this helps!

The amount that will be in the account after 30 years is $162,272.32.

When an amount is compounded annually, it means that once a year, the amount deposited and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.

The formula that can be used to determine the future value of the yearly deposit of $4,000 in 30 years is : annuity factor x yearly deposit

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$4000 x [{(1.02^30) - 1} / 0.02] = $162,272.32

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