The table below represents a linear relationship. What is the Y intercepts? X-3 4 5 6
Y-7 10 13 16

Answer:

$24

Step-by-step explanation:

First, find the cost to cover one pair of shoes.

Cost to cover one pair of shoes = surface area of the shoe box × cost per square inch

= 2(LW + LH + HW) × 0.02

L = 14 in.

W = 8 in.

H = 4 in.

Plug in the values

Cost to cover one pair of shoes = 2(14*8 + 14*4 + 4*8) × 0.02

= 2(112 + 56 + 32) × 0.02

= 2(200) × 0.02

= 400 × 0.02 = 8

Cost to cover one pair of shoes = $8

Cost to cover 3 pairs of shoes = 3*8 = $24

Answer:

5

−21

÷

10

−7

= \frac{-21}{5} \times \frac{-10}{7}=

5

−21

×

7

−10

= \frac{21\times 10}{5 \times 7 }=

5×7

21×10

/* After cancellation , we get */

= 6=6

Therefore.,

\red{ \frac{-21}{5} \div \frac{-7}{10}}\green { = 6}

5

−21

÷

10

−7

=6

•••♪

Answer: -6

Step-by-step explanation:

(-21/5) / (-7/-10)

Since there is two negatives in -7/-10 the negative will cancel out, but only in -7/-10

(-21/5)/(7/10)

You can now divide what’s in the parentheses (which will give you (-21/5)/(10/7)

(-21/5) / (10/7) =  -3 X 2 (just divide 10 by 5 and -21 by 7, when dividing fractions you divided the opposing numerator by the denominatior)

-3 x 2 = -6

Hope that makes sense :)

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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Answer:

1.42 liters is the correct answer

the answer for this question is  i don't know

So , bye

(a) This differential equation can be written in the form (*) with P(x) = 1, Q(x) = 2x, and n = 2.

(b) The substitution u = 1/y will transform it into the linear equation Du/dx +  0u = -2x

(c)Using the substitution in part (b), we rewrite the initial condition in part  u(1) = 1/y(1) = 1/4.

(d) the linear equation in part (b) is y = 1/(C - x) and  the solution that satisfies the initial condition in part (c) U(x) = -y⁻¹ = -x + C,

(e) Finally, solve for y(x) = 1/(1/4 + 1 - x) = 4/(5 - x).

What is  Bernoulli differential equation?

A Bernoulli differential equation is a type of non-linear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)yⁿ

where P(x) and Q(x) are functions of x and n is a constant. The equation is named after the Swiss mathematician Jakob Bernoulli.

These types of differential equations are important in various fields of science, such as physics, engineering, and economics. They are non-linear, meaning that the dependent variable y appears in both linear and non-linear terms, making them difficult to solve in general.

a) This differential equation can be written in the form (*) with P(x) = x, Q(x) = 2x, and n = 2.

b) The substitution u = y⁻¹ will transform it into the linear equation du/dx - xu = -2x.

c) Using the substitution in part (b), we rewrite the initial condition as u(1) = 1/4.

d) Now we solve the linear equation in part (b). The characteristic equation is given by d/dx(e\(\mathrm{(\int -xdx))}\) = -xe\(\mathrm{(\int -xdx))}\) which has the general solution u(x) = Ce\((-x^2/2)\).

Using the initial condition, we find C = 1/4, so u(x) = 1/4e\((-x^2/2)\).

e) Finally, we solve for y. From u = y⁻¹, we have y = 1/u = 4e\((-x^2/2)\).

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The surface area of the rectangular prism is 888 squared centimeters.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Where w is the width, h is height and l is length

Given the data in the diagram;

Plug the given values into the above formula and solve for the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (10 × 22) + (7 × 22) + (7 × 10) )

S.A = 2( 220 + 154 + 70 )

S.A = 2( 444 )

S.A = 888 cm²

Therefore, the surface area is 888 cm².

Option B) 888 cm² is the correct answer.

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Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  \(\frac{5^{4} }{5 ^{6} }\) ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

                            \(\frac{x^{a} }{x^{b} }\)  =  \(x^{(a-b)}\)

                           \(\frac{5^{4} }{5 ^{6} }\)   =  \(5^{4-6}\)  

                                 = \(5^{-2}\)

                                 = \(\frac{1}{25}\)                                  

Therefore the solution is 1 over 25

Answer:

a 1 over 25

Step-by-step explanation:

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer :

no they are not 6:4 and 4:6 are not equivalent

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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Answer:

Option B is the correct answer

Step-by-step explanation:

After removing squares with side 4 inch long, the open box will have following dimensions:

Length = x + 9 - 4 - 4 = (x + 1) in

Width = x - 4 - 4 = (x - 8) in

Height = side of square = 4 in

It is given that volume of the open box is 64 cubic inches.

\( \therefore \: l \times w \times h = 64 \: {in}^{3} \\ \\ \purple{ \bold{ (x + 1)(x - 8)(4) = 64 \: {in}^{3} }}\)

The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

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Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

50

Step-by-step explanation:

Answer:

I believe it is 5 percent

Step-by-step explanation:

Hope it helps and is right.

Answer:

Step-by-step explanation:

1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation  

120 = x + 130

re arrange to make x the subject

so subtract 130 on both sides

120-130=x

-10=x

x=-10

2) Corresponding angles in between parallel lines are the same. we can write this as

15x = 75

rearrange to make x the subject

x = 75 ÷ 15

x = 5

3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation

14x - 3 = 85

14x = 88

x = 88 ÷ 14

x = 6.285714 or just 6.29

The store at which the apple will cost the cheapest is: Store A

The formula for the slope between two coordinates is:

Slope = (y₂ - y₁)/(x₂ - x₁)

Now, all the lines in the attached graph pass the origin and so they will all have the coordinate (0, 0)

The slope for each line will give us the cost for each apple in the store.

Thus:

Slope for store A = (3 - 0)/(4 - 0)

Cost for store A apple = $0.75

Slope for Store B = (5 - 0)/(5 - 0)

Cost for store B apple = $1

Slope for Store C = (5 - 0)/(4 - 0)

Cost for store C apple = $1.25

Slope for Store D = (6 - 0)/(3 - 0)

Cost for store C apple = $2

Thus, store A has the cheapest Apple

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Answer:

18 dimes and 1 nickle

Step-by-step explanation:

This is because 18 time 10 is 180 and one of 5 add it and this is $1.85

Remeber a dollar is 100 cents

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

\(Initial =1\ million\)

\(6\ years\ later = 500,000\)

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

\(\frac{dA}{dt} = kA\)

Where k represents the constant of proportionality

\(\frac{dA}{dt} = kA\)

Multiply both sides by dt/A

\(\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}\)

\(\frac{dA}{A} = k\ dt\)

Integrate both sides

\(\int\ {\frac{dA}{A} = \int\ {k\ dt}\)

\(ln\ A = kt + lnC\)

Make A, the subject

\(A = Ce^{kt}\)

\(t = 0\ when\ A =1\ million\) i.e. At initial

So, we have:

\(A = Ce^{kt}\)

\(1000000 = Ce^{k*0}\)

\(1000000 = Ce^{0}\)

\(1000000 = C*1\)

\(1000000 = C\)

\(C =1000000\)

Substitute \(C =1000000\) in \(A = Ce^{kt}\)

\(A = 1000000e^{kt}\)

To solve for k;

\(6\ years\ later = 500,000\)

i.e.

\(t = 6\ A = 500000\)

So:

\(500000= 1000000e^{k*6}\)

Divide both sides by 1000000

\(0.5= e^{k*6}\)

Take natural logarithm (ln) of both sides

\(ln(0.5) = ln(e^{k*6})\)

\(ln(0.5) = k*6\)

Solve for k

\(k = \frac{ln(0.5)}{6}\)

\(k = \frac{-0.693}{6}\)

\(k = -0.1155\)

Recall that:

\(\frac{dA}{dt} = kA\)

Where

\(\frac{dA}{dt}\) = Rate

So, when

\(A = 600000\)

The rate is:

\(\frac{dA}{dt} = -0.1155 * 600000\)

\(\frac{dA}{dt} = -69300\)

Hence, the amount of oil was decreasing at 69300 barrels, yearly

An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers. Let's examine each option:

1. The number pi: Pi (π) is an irrational number. It is a mathematical constant representing the ratio of a circle's circumference to its diameter. Pi cannot be expressed as a fraction or a terminating decimal. It is an infinite, non-repeating decimal (approximately 3.14159...).

2. A whole number: Whole numbers are integers without any fractional or decimal parts. They include positive numbers (0, 1, 2, 3, ...) and their negatives (-1, -2, -3, ...). Whole numbers can always be expressed as fractions by setting the denominator as 1, making them rational numbers.

3. Fractions: Fractions are numbers expressed as the ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not zero. All fractions are rational numbers because they can be expressed as the division of two integers.

4. A decimal that terminates: A terminating decimal is a decimal number that has a finite number of digits after the decimal point. Terminating decimals can always be expressed as fractions, making them rational numbers. For example, 0.25 can be written as 1/4.

Based on the explanations above, the only option that represents an irrational number is "The number pi."

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Answer:

Decision rule

Fail to reject the null  hypothesis

Conclusion

The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  214

   The sample proportion is p = 0.78

   The level of significance is \(\alpha = 0.05\)

Generally the population proportion is mathematically represented as

      \(p = \frac{3}{4} =0.75\) (gotten from the statement  ''three out of four'' in the question)

The null hypothesis is \(H_o : p = 0.75\)

The alternative hypothesis \(H_a : p > 0.75\)

Generally the test statistics is mathematically represented as

     \(z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }\)

=>    \(z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }\)

=>  \(z = 1.01\)

Generally the p-value is mathematically represented as

    \(p-value  = P(Z > z )\)

=> \(p-value  = P(Z > 1.01 )\)

From the z-table  

    \(P(Z > 1.01 ) = 0.15625\)

So

    \(p-value  = 0.15625 \)

From the obtained values we see that \(p-value > \alpha\) hence we fail to reject the null hypothesis

 Therefore we can conclude that the sample evidence is  not  sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Answer:

18

Step-by-step explanation:

9/2 / 1/4

keep 9/2

Change the operation to multiplication

flip 1/4 into 4 or 4/1

multiply on top and bottom and get 36/2

which 36/2 is 18 and 18 is the answer

Brainliest?

Answer:

$360,000

Step-by-step explanation:

180,000(6) /3

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

if you remember the bell curve 32 32 13.5 13.5 2.35 2.35 and .15 put the mean in the middle of the bell curve we find that 13.5 + 2.35 + .15 so

16% is your probablility

Answer:

y=-6x/3

Step-by-step explanation:

6x+3y=0

3y=-6x

y=(-6/3)x

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The octal representation of 7562.45 is 3654.36, the hexadecimal representation 1938.257 of is 774.4112, and the binary representation of 175.175 is 10101111.110111.

What are Number Systems?

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity.

1- To convert 7562.45 to octal, we first convert the whole number part of the decimal, 7562, to octal.

7562 in decimal = (710^3) + (510^2) + (610^1) + (210^0) = (7512) + (564) + (68) + (21) = 3654.

So the whole number part in octal is 3654.

2- Next, we convert the fractional part of the decimal, 0.45, to octal.

0.45 in decimal = 0.45 * 8^1 = 0.36

So the fractional part in octal is 0.36

3- Combining the whole number and fractional parts, we get the final octal representation as 3654.36

4- To convert 1938.257 to hexadecimal, we first convert the whole number part of the decimal, 1938, to hexadecimal.

1938 in decimal = (110^3) + (910^2) + (310^1) + (810^0) = (11024) + (9256) + (316) + (81) = 774.

So the whole number part in hexadecimal is 774.

5- Next, we convert the fractional part of the decimal, 0.257, to hexadecimal.

0.257 in decimal = 0.257 * 16^1 = 0.4112

So the fractional part in hexadecimal is 0.4112

6- Combining the whole number and fractional parts, we get the final hexadecimal representation as 774.4112

7- To convert 175.175 to binary, we first convert the whole number part of the decimal, 175, to binary.

175 in decimal = (110^2) + (710^1) + (510^0) = (1100) + (710) + (51) = 10101111

So the whole number part in binary is 10101111

8- Next, we convert the fractional part of the decimal, 0.175, to binary.

0.175 in decimal = (12^-1) + (72^-3) + (5*2^-4) = 0.110111

So the fractional part in binary is 0.110111

9- Combining the whole number and fractional parts, we get the final binary representation as 10101111.110111

Hence, the octal representation of 7562.45 is 3654.36, the hexadecimal representation 1938.257 of is 774.4112, and the binary representation of 175.175 is 10101111.110111.

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