if you have 3 pennies, 4 nickels and 5 dimes which of the following represents the rationickles to total numbers of coins4:125:133:124:5

Answer:

676

Step-by-step explanation:

lxw

14x35

4x24

6x15

676

Step-by-step explanation:

\( \frac{19695}{x - 15605} = 100\)

\(19695 = 100(x - 15605)\)

\(19695 = 100x - 1560500\)

\(19695 + 1560500 = 100x\)

\(15801 95 = 100x\)

\( \frac{1580195}{100} = x\)

\(x = 15801.95\)

Answer:

Not sure which ratio you need, but 6/9 = 2/3

Step-by-step explanation:

1.5xsalmon=swordfish

$39 = 2lb salmon and 3lb swordfish

1lb salmon=$6           6+6 = 12

1lb swordfish=$9       9+9+9 = 27

12+27 = 39

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

Answer:

False

Step-by-step explanation:

3√2 sec(theta) + 7 = 1

3√2 sec(theta) = -6

sec(theta) = -2/√2

sec(theta) = -√2

theta = arcsec(-√2)

However, the range of secant function is [-∞, -1] U [1, ∞]. Since -√2 is not within this range, we cannot take the arcsecant of -√2. Therefore, there is no real value of theta that satisfies the equation, including 3π/4.

Therefore, the statement "The value 3π/4 is a solution for the equation 3√2 sec(theta) + 7 = 1" is False.

I hope it helps you

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

The value of v is: v = (-9, 5).

Open angled bracket negative 9 comma 5 close angled bracket.

Then the correct option is B.

We have,

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

Vector v has an initial point at (7, 6) and a terminal point at (−11, 16).

Then the vector v is given as

v = 1/2 [(-11 - 7), (16 - 6)]

v = 1/2 [(-18), (10)]

v = (-9, 5)

Then the correct option is B.

More about the vector link is given below.

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Answer:

y=1x-6

Step-by-step explanation:

First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.

-Hope this helped

Answer:

40g : 3g

Step-by-step explanation:

12 kg : 900 g

unit conversion so that we can have the same unit in both ratios,

1 kg = 1000 g

so, 12 kg = 12000g

thus,

12000 g : 900 g

by simplifyig in lowest terms,

120 g : 9 g

40g : 3g

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

Learn more about Pythagoras theorem, by the following link

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a. The PDF for battery life when the primary use is talk time is f(x) = 0.05e^(-0.05x)

b. The probability that the battery charge will last no more than 15 hours when the primary use is talk time is 0.393

c. The probability that the battery charge will last more than 20 hours when the primary use is talk time is 0.4493

d. The probability that the battery charge will last no more than 5 hours when the primary use is Internet applications is 0.3935

a. The probability density function (PDF) for battery life when the primary use is talk time can be modeled using the exponential distribution, given by

f(x) = λe^(-λx)

where λ is the rate parameter, which can be calculated as the reciprocal of the mean battery life. Since the mean battery life is 20 hours, λ = 1/20 = 0.05. Therefore, the PDF for talk time battery life is

f(x) = 0.05e^(-0.05x)

b. To find the probability that the battery charge will last no more than 15 hours when its primary use is talk time, we need to calculate the cumulative distribution function (CDF) and evaluate it at x = 15

F(x) = ∫[0,x] f(t) dt

F(15) = ∫[0,15] 0.05e^(-0.05t) dt ≈ 0.393

Therefore, the probability that the battery charge will last no more than 15 hours when its primary use is talk time is 0.393, or 39.3%.

c. To find the probability that the battery charge will last more than 20 hours when its primary use is talk time, we need to subtract the probability that it will last no more than 20 hours from 1

P(X > 20) = 1 - P(X ≤ 20) = 1 - F(20)

where F(x) is the CDF of the battery life distribution. From part b, we know that F(15) ≈ 0.393, so we can use this value to calculate F(20)

F(20) = ∫[0,20] 0.05e^(-0.05t) dt ≈ 0.5507

Therefore, P(X > 20) ≈ 1 - 0.5507 ≈ 0.4493, or 44.9%.

d. The PDF for battery life when the phone is primarily used for Internet applications can also be modeled using the exponential distribution. From the problem statement, we know that the mean battery life for this use is 7 hours, so the rate parameter is λ = 1/7 = 0.1429. Therefore, the PDF for Internet use battery life is

f(x) = 0.1429e^(-0.1429x)

To find the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications, we can calculate the CDF

F(x) = ∫[0,x] f(t) dt

F(5) = ∫[0,5] 0.1429e^(-0.1429t) dt ≈ 0.3935

Therefore, the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications is 0.3935

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Answer:

\(f(x) = x + 7 \\ g(x) = {x}^{2} - 5x - 12 \\ g(f(x)) = {x}^{2} - 5x - 12 + 7 \\ = {x}^{2} - 5x - 5\)

Standard form of the equation for the circle with the following properties is (x + 7)² + (y + 6)²= 104.

A line segment through the center of a circle with its ends on the circle's circumference. Its value is twice of the radius.

An equation is a mathematical statement that asserts the equality between two expressions, typically containing one or more variables. It consists of two sides separated by an equals sign (=), indicating that the expressions on both sides have the same value. Equations are used to describe relationships, solve problems, and make predictions in various branches of mathematics, science, engineering, and other fields. They can be linear or nonlinear, and may involve arithmetic, algebraic, trigonometric, exponential, or other mathematical operations. Solving an equation involves finding the values of the variables that make the equation true.

To find the standard form of the equation for a circle, we can start by finding the center and radius of the circle using the given endpoints of a diameter.

The center of the circle is the midpoint of the diameter, which can be found by averaging the coordinates of the two endpoints. Let's denote the coordinates of the endpoints of the diameter as (x1, y1) and (x2, y2) respectively.

In this case, the coordinates of the endpoints are (x1, y1) = (-6, -1) and (x2, y2) = (-8, -11). Using the midpoint formula, we can find the center of the circle:

Center = ((x1 + x2)/2, (y1 + y2)/2)

Plugging in the values, we get:

Center = ((-6 + (-8))/2, (-1 + (-11))/2)

Center = ((-14)/2, (-12)/2)

Center = (-7, -6)

So, the center of the circle is (-7, -6).

The radius of the circle is half the length of the diameter, which can be found using the distance formula between the two endpoints of the diameter. Let's denote the distance between the endpoints as d.

The distance formula is given by:

d = sqrt((x2 - x1)² + (y2 - y1)²)

Plugging in the values, we get:

d = sqrt((-8 - (-6))² + (-11 - (-1))²)

d = sqrt((-2)² + (-10)²)

d = sqrt(4 + 100)

d = sqrt(104)

So, the radius of the circle is sqrt(104).

Now that we have the center and radius of the circle, we can write the standard form of the equation of the circle as:

(x - h)² + (y - k)²= r²

where (h, k) is the center of the circle and r is the radius of the circle.

Plugging in the values, we get:

(x - (-7))² + (y - (-6))² = (sqrt(104))²

(x + 7)² + (y + 6)²= 104

So, the standard form of the equation for the circle with endpoints of a diameter at (-6, -1) and (-8, -11) is (x + 7)² + (y + 6)² = 104

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Answer:

282.463

Step-by-step explanation:

Answer: 282.436

Step-by-step explanation:

281.7

+   0.736

282.436

Answer:

35

Step-by-step explanation:

3(10)+5

First multiple 3•10 which is 30

30+5

then add 30 to 5

35

The given line passes through (0,10) and (2,0), so its slope is

\(\frac{10-0}{0-2}=-5\)

Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.

Substituting into point-slope form,

\(y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}\)

Answer:

z=2, y=-4, x=8

Step-by-step explanation:

since we know z is 2, we can plug it back into the equation to find y:

y+2*2=0

first, simplify:

y+4=0

then, subtract 4 from both sides:

y=-4

now we know what both z and y are, we can put the values back into the equation to find x:

x+2(-4)+3*2=6

first, simplify:

x-8+6=6

x-2=6

then, add 2 to both sides:

x=8

so the values are:

z=2, y=-4, x=8

Answer: y = -2x + 19

Step-by-step explanation:

The function formula would be: y = ax + b

The slope(a) can be found with the formula \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\):

\((x_{1}, y_{1})=(6,7)\\(x_{2}, y_{2})=(9,1)\)

\(\frac{1-7}{9-6} =\frac{-6}{3} =-2\)

The y-intercept(b) can be found by substituting in values of a coordinate:

\((6,7)\\y=-2x+b\\7=-2(6)+b\\7=-12+b\\7+12=b\\b=19\)

Therefore, the function is y = -2x + 19

Answer:

17

Step-by-step explanation:

divide 1020 by 60

1020 ÷ 60 = 17

meaning that you go 17 mph

Answer:

17 hours.

Step-by-step explanation:

Formula

d = r * t

Givens

t = ?

d = 1020 miles

r = 60 miles per hour

Solution

1020 = 60 * t             Divide by 60

1020/60 = t

17 hours.

well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

Lines are perpendicular if and only if they meet at right angles.

Step-by-step explanation:

I reworded the statement a little, but this would be the biconditional statement. Biconditional is written as p if and only if q, when the conditional is if p then q. For a biconditional statement to be true the statement must work both ways, backward and forward.

Answer:

Issac's dog weighs 19 pounds

Step-by-step explanation:

Let x be Issac's dog's weight

I hope this helps!

Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

Answer:

For 90:

9 10p coins

7 10p coins and 1 20p coin

5 10p coins and 2 20 p coins

3 10p coins and 3 20p coins

For 60:

6 10p coins

4 10p coins and 1 20p coin

2 10p coins and 2 20p coins

3 20p coins

Step-by-step explanation:

Answer:

For 90 is having each containing both the 20 and10 for 2 boxes then the rest each a 20&10

For 60 is two 20s and two10

Step-by-step explanation:

Hope it helps

⇒2 will multiply everything in the brackets.

\(2(p)+2(19)=8\\2p+38=8\\\)

⇒Now I will group like terms to solve for p. Note those that cross the equal sign change sign

\(2p=8-38\\2p=-30\\\frac{2p}{2} =\frac{-30}{2} \\p=-15\)

We found that p=-15

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number