Graph 5x + 3y = 15.
y

Answer:

$14,080

Step-by Step Explanation:

Answer:

$14,080

Step-by-step explanation:

Hope this helps.

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]

[tex](1-r)^{5600} = 0.5[/tex]

[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]

[tex]1 - r = 0.9999[/tex]

So

[tex]A(t) = A(0)(0.9999)^t[/tex]

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which [tex]A(t) = 0.02A(0)[/tex]. So

[tex]A(t) = A(0)(0.9999)^t[/tex]

[tex]0.02A(0) = A(0)(0.9999)^t[/tex]

[tex](0.9999)^t = 0.02[/tex]

[tex]\log{(0.9999)^t} = \log{0.02}[/tex]

[tex]t\log{0.9999} = \log{0.02}[/tex]

[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]

[tex]t = 39118[/tex]

The estimated age of the skull is 39118 years.

Answer:

9/16

is already in the simplest form. It can be written as 0.5625 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

5+12i

Step-by-step explanation:

So 12-7 = 5 and 8i+4i=12i and that equals 5+12i

Answer:

5m•5m•5m

Step-by-step explanation:

so you  multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3

5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

An expression is combination of variables, numbers and operators.

The given expression is (5m)³

We have to find the equivalent expression of (5m)³

Equivalent expressions are expressions that work the same even though they look different

(5m)³ can be written as 5m.5m.5m

The value of five cube is one hundred twenty five.

125m³

Hence, 5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

To learn more on Expressions click:

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#SPJ2

Answer:

2

Step-by-step explanation:

hope it helps god blessss

3

7+5=12

add 5 that she gave to her sister and divide it by 4 since she had 4x more than Carla

Answer:

the answer would be 50 rounded to the nearest ten

Step-by-step explanation:

so sorry if this is not correct °3°

okay thanks for reading :P

Answer:

the reading of the length of the cylinder is 2.84 cm

Step-by-step explanation:

Given the data in the question;

the main scale reading = 2.8 cm

the Vernier reading = 4

the least count of the Vernier = 0.01 cm

the reading of the length of the cylinder = ?

To determine the reading of the length of the cylinder, we simply say;

Reading length = main scale reading + ( Vernier reading × least count )

so we substitute in our given values

Reading length =  2.8 cm + ( 4 × 0.01 cm )

Reading length =  2.8 cm + 0.04 cm

Reading length =  2.84 cm

Therefore,  the reading of the length of the cylinder is 2.84 cm

Answer:

What kind of graph?

Given:

The functions are

[tex]f(x)=4x^2+7x-5[/tex]

[tex]g(x)=-9x^2+4x-13[/tex]

To find:

The functions [tex](f+g)(x)[/tex] and [tex](f-g)(x)[/tex].

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=4x^2+7x-5-9x^2+4x-13[/tex]

[tex](f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)[/tex]

[tex](f+g)(x)=-5x^2+11x-18[/tex]

And,

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex](f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)[/tex]

[tex](f+g)(x)=4x^2+7x-5+9x^2-4x+13[/tex]

[tex](f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)[/tex]

[tex](f-g)(x)=13x^2+3x+8[/tex]

Therefore, the required functions are [tex](f+g)(x)=-5x^2+11x-18[/tex]

and [tex](f-g)(x)=13x^2+3x+8[/tex].

Answer:

0.0256 ; 0.1536 ; 0.3456 ; 0.3456 ; 0.1296

Step-by-step explanation:

P, that each bulldozer will be operational for atleast 6 months = 0.6

p = 0.6 ; q = 1 - p = 1 - 0.6 = 0.4

Number of bulldozers purchased, n = 4

Probability that :

Exactly 0 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 0) = 4C0 * 0.6^0 * 0.4^4

P(x = 0) = 1 * 1 * 0.0256

P(x = 0) = 0.0256

Probability that :

Exactly 1 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 1) = 4C1 * 0.6^1 * 0.4^3

P(x = 1) = 4 * 0.6 * 0.064

P(x = 1) = 0.1536

Probability that :

Exactly 2 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 4C2 * 0.6^2 * 0.4^2

P(x = 2) = 6 * 0.36 * 0.16

P(x = 2) = 0.3456

Probability that :

Exactly 3 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 4C3 * 0.6^3 * 0.4^1

P(x = 3) = 4 * 0.216 * 0.4

P(x = 3) = 0.3456

Probability that :

Exactly 4 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 4) = 4C4 * 0.6^4 * 0.4^0

P(x = 1) = 1 * 0.1296 * 1

P(x = 1) = 0.1296

Answer:

(4.7) ⁴

(4.7)-⁴

Step-by-step explanation:

Mark brainliest please

Answer:

parabola

Step-by-step explanation:

The path followed by a ball can be modeled by a graph.

Throwing a ball is a parabola or quadratic graph.

When a ball is thrown, the path it follows can be represented by:

[tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]

or

[tex]\mathbf{f(x) = a(x - h)^2 + k}[/tex]

The above equations are functions of a parabola or quadratic graph.

Hence, throwing a ball is a parabola or quadratic graph.

Read more about graphs at:

https://brainly.com/question/9915751

Answer (assuming it is allowed to be in point-slope format):

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, [tex]y = -\frac{3}{2} x-4[/tex]. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since [tex]-\frac{3}{2}[/tex] is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be [tex]\frac{2}{3}[/tex].  

2) Now, use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] to write the new equation with the given information. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]\frac{2}{3}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following equation and answer:

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Answer:

look it up

Step-by-step explanation:

Answer:

1.18

Step-by-step explanation:

$1.17

Step-by-step explanation:

He divided the total cost by 3 not 3 dozen (36).

Answer:

$4,166,67

Step-by-step explanation:

Answer:

32 and 18

Step-by-step explanation:

This is a question of simultaneous equation.

Let's say the two numbers are x and y.

ATQ,

x+y =50 ——I

x-y=14——II

On adding I and II,

We get 2x=64

Implying x=32

Putting the value of x in equation I,

32+y=50

y=50–32

=18.

The answer is 32 and 18

Answer:

Step-by-step explanation:

Are you referring to the number line? Start at “0” and go left to “-2”

Answer:

A. It is a two tailed test about a proportion

Step-by-step explanation:

We are given;

Population proportion; p= 8% = 0.08

Sample size; n = 450

Defective ones in the sample = 27

Sample proportion; p^ = 27/450 = 0.06

Let's define the hypotheses.

Null Hypothesis; H0: p = 0.08

Alternative hypothesis;Ha: p ≠ 0.08

≠ is used for the alternative hypothesis because we can't really ascertain if the training was going to make things worse.

Thus, this is a two tailed hypothesis test about a proportion.

[tex]2 \sqrt{13} [/tex]

that is your answer

Answer:

6 jared used six pounds

Step-by-step explanation:

you have it aubtexact what he used the first night and then divide by 4percwnt

Answer:

I need help on this as well

Answer:

1.biking speed for the second practice ride

2.add

Step-by-step explanation:

This is right for plato bc i got it right:)

Given:

A line has a gradient of -2

A line that is parallel to this will have a gradient of ..... .

To find:

The missing value.

Solution:

Gradient of a line is also known as slope of the line.

We know that the slopes of the parallel lines are equal.

A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.

Therefore, the missing value is -2.

Answer:

-4

Step-by-step explanation:

5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =

Simplify.

5 - [6 - 2 + 7 - 3 + 6] + 5 =

Subtract

5 - [4 + 7 - 3 + 6] + 5 =

Add

5 - (11 - 3 + 6) + 5

Subtract

5 - (8 + 6) + 5

Add

5 - 14 + 5

Simplify by adding and subtracting.

-4

good luck, i hope this helps :)

Answer:

[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5

=-4

I hope this help

Answer:

3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.

1. You deposit $950 in an account that earns 9% annual interest compounded daily.

2. You deposit $1000 in an account that earns 8% annual interest compounded daily.

4. You deposit $1000 in an account that earns 10% simple interest.

Step-by-step explanation:

P.S - The exact question is -

To find - Three different accounts are described below. Order the accounts  

             according to their values after 10 years, from greatest to least.

             1. You deposit $950 in an account that earns 9% annual

                 interest compounded daily.

            2. You deposit $1000 in an account that earns 8% annual

                 interest compounded daily.

             3.You deposit $1000 in an account that earns 9% annual

                 interest compounded semiannually.

              4. You deposit $1000 in an account that earns 10% simple interest.

Proof -

1.)

Value after 10 years = 950( 1 + 0.09)¹⁰

                                 = 950 ( 1.09)¹⁰

                                 = 950(2.37) = 2248.995

⇒Value after 10 years = 2248.995

2.)

Value after 10 years = 1000( 1 + 0.08)¹⁰

                                 = 1000 ( 1.08)¹⁰

                                 = 1000(2.159) = 2158.925

⇒Value after 10 years = 2158.925

3.)

As it is compounded semiannually , so time period is doubles and rate goes half.

Value after 10 years = 1000( 1 + 0.045)²⁽¹⁰⁾

                                 = 1000 ( 1.045)²⁰

                                 = 1000(2.412) = 2411.714

⇒Value after 10 years = 2411.714

4.)

Value after 10 years = 1000×[tex]\frac{10}{100}[/tex]×10 = 1000

∴ we get

2411.714 > 2248.995 > 2158.925 > 1000

⇒ 3.) > 1.) > 2.) > 4.)

So,

3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.

1. You deposit $950 in an account that earns 9% annual interest compounded daily.

2. You deposit $1000 in an account that earns 8% annual interest compounded daily.

4. You deposit $1000 in an account that earns 10% simple interest.

Answer:

x=10/3 y=17/3

Step-by-step explanation:

Use substitution to solve your equation. Plug in y=2x-1 into y=1/2x+4. This makes (2x-1)=1/2x+4. Simplify this to get 3/2x-1=4. Simplify it again to get 3/2x=5. No one likes fractions so multiply both sides by 2 to get 3x=10. Simplify this and get x=10/3. Plus 10/3 into one of the equations. You can pick anyone but I picked y=2x-1. Because you know x=10/3, you put y=2(10/3)-1. Simplify this and get y=20/3-1. Convert 1 into a fraction and get y=20/3-3/3. Simplify this and get y=17/3.

Therefore,

x=10/3 y=17/3

Hoped this helps you