The coin jar was filled with pennies and nickels in the ratio of 7 to 2. If there were 28 nickels in the jar, how many coins were there?

Answer: 91

Step-by-step explanation:

Angle between the two vectors u and v is option (a) 0 degree

Vector, in mathematics, a quantity that has both magnitude and direction

Given,

u=(-2,3)

v=(-6,9)

Angle between the two vectors θ =\(cos^{-1} \frac{u.v}{|u| |v|}\)

\(u.v=(-2)(-6)+(3)(9)\\u.v=12+27\\u.v=39\)

\(|u|=\sqrt{-2^{2}+3^{2} } \\|u|=\sqrt{13}\)

\(|v|=\sqrt{-6^{2}+9^{2} } \\|v|=\sqrt{117}\)

Angle between two vectors θ =\(cos^{-1} \frac{u.v}{|u| |v|}\)

θ=\(cos^{-1} \frac{39}{\sqrt{13}.\sqrt{117} } \\cos^{-1}\frac{39}{39}\\ cos^{-1}1=0\)

Hence, the angle between the vectors u and v is 0 degree

Learn more about vector here

https://brainly.com/question/13322477

#SPJ2

Answer:

16.01%

Step-by-step explanation:

150 - 125.99 = 24.01

What percent is 24.01 of 150

(x/100) = (24.01 / 150)

= 16.01%

Answer:

So the answer is 24%

Step-by-step explanation:

So you have to subtract the two numbers and closley approximate the neares decimal you get and i got 24.01 and just rounded it to 24%.

Answer:

answer is 4 as

3×4 = 12 and as u can see the que gave that the ans is 2 more then 10

Answer:

y = 1/2x + 3/2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (4 - 5)/(5 - 7)

m = (-1)/(-2)

m = 1/2

Slope-intercept: y = mx + b

y = 1/2x + b

using (5,4)

4 = 1/2(5) + b

4 = 5/2 + b

b = 4 - 5/2 = 8/2 - 5/2 = 3/2

then y = 1/2x + 3/2

Answer:

D good luck :) also have a great day

The lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

We can determine whether two lines intersect by setting their equations equal to each other and solving for the values of x, y, and z. Setting the given equations equal to each other, we have:

ht + 4 = h2s + 3

4t + 5 = s + 1

t − 2 = 2s − 3

From the second equation, we have s = 4t - 4. Substituting this into the third equation, we get t = 3. Then, using t = 3 in the first equation, we get h = -1/3. Substituting these values into the second equation, we get s = 8. However, using these values in the first equation leads to a contradiction: -1/3 ≠ 19/3. Therefore, the lines do not intersect.

Therefore, the lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

To learn more about intersect here:

brainly.com/question/14217061#

#SPJ11

The answer to the mentioned statement are :

first statement is WRONG

the second statement is RIGHT

The third statement is also WRONG

the fourth statement is RIGHT

fifth statement is RIGHT

sixth statement is WRONG

The side of the given cube is 1 unit.

This means that the Length= Breadth = Height = 1 unit because it is cube

This means that the volume can be described as

( side ) ³

that is 1 × 1 × 1 = 1 cubic unit

thus the first statement is WRONG

However the second statement is RIGHT

The third statement is also WRONG

since it is a cube whose volume is 1 cubic unit

thus we can say that it is one block

Thus the fourth statement is RIGHT

fifth statement is RIGHT

sixth statement is WRONG

To know more about cubes you can refer to the link mentioned below:

https://brainly.com/question/15420947

#SPJ13

Answer:

x = 11

y = 2

n = 4

Step-by-step explanation:

Three equations

Look for x

Look for y

Look for n

__________________

Note that all of these are questions can be answered through isolating the variable.

Let's start with x :

Get x alone :

2(x + 5) = 3x + 1

Distribute :

(2(x) + 2(5))

2x + 10 = 3x - 1

Add 1 to both sides of the equation :

2x + 11 = 3x

Subtract 2x from both sides :

11 = x

x = 11

Next is y :

Isolate y :

3y - 4 = 6 - 2y

Add 4 to both sides :

3y = 10 - 2y

Add 2y to both sides :

5y = 10

Divide 5 from both sides to get y by itself :

y = 2

Lastly is n :

Isolate n :

3(n + 2) = 9(6 - n)

Distribute :

(3(n) + 3(2)) = (9(6) - 9(n))

3n + 6 = 54 - 9n

Subtract 54 from both sides :

3n - 48 = -9n

Subtract 3n from both sides :

-48 = -12n

-12n = -48

Divide -12 from both sides :

n = 4

Answer:

2.3478 x 10^6

Step-by-step explanation:

a) The exact real interest rate is approximately -5.75%.

b) The exact real interest rate is approximately 4.24%.

c) The exact real interest rate is approximately -2.38%.
d) The exact real interest rate is approximately -99.85%.
e) When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

Step by step:

a) To find the exact real interest rate (R), we can use the formula R = (1+π)/(1+i) - 1, where π is the inflation rate and i is the nominal interest rate.
Given that i = 5.5% and π = 4.5%, we can substitute these values into the formula:

R = (1+0.045)/(1+0.055) - 1
R = 1.045/1.055 - 1
R ≈ 0.9425 - 1
R ≈ -0.0575

Therefore, the exact real interest rate is approximately -5.75%.


b) For i = 18% and π = 23%:
R = (1+0.23)/(1+0.18) - 1
R = 1.23/1.18 - 1
R ≈ 1.0424 - 1
R ≈ 0.0424

Therefore, the exact real interest rate is approximately 4.24%.


c) For i = 5% and π = 2.5%:
R = (1+0.025)/(1+0.05) - 1
R = 1.025/1.05 - 1
R ≈ 0.9762 - 1
R ≈ -0.0238

Therefore,  

d) For i = 1.05% and π = 1.2%:
R = (1+0.012)/(1+0.0105) - 1
R = 1.012/1.0105 - 1
R ≈ 0.0015 - 1
R ≈ -0.9985

Therefore, the exact real interest rate is approximately -99.85%.

e) From the results obtained, we can draw the following conclusions about interest rates and inflation:

- When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

- When the nominal interest rate (i) is equal to the inflation rate (π), the real interest rate (R) is approximately zero.

- When the nominal interest rate (i) is less than the inflation rate (π), the real interest rate (R) is negative.

- Higher inflation rates generally lead to lower real interest rates, as the purchasing power of money decreases.

- Lower inflation rates generally lead to higher real interest rates, as the purchasing power of money increases.

Learn more about real interest rate from the given link

https://brainly.com/question/6106690

#SPJ11

Step-by-step explanation:

can we just 180° minus with all the angle?

180° - 67° - 75° =

To find the value of sin(e) given that \(cos(e) = \frac{14}{17}\) and e terminates in the interval [0°, 90°], we can use the Pythagorean identity for trigonometric functions.

The Pythagorean identity states that \(\sin^2(e) + \cos^2(e) = 1\).

Since we know the value of cos(e), we can substitute it into the equation:

\(\sin^2(e) + \left(\frac{14}{17}\right)^2 = 1\)

Simplifying the equation:

\(\sin^2(e) + \frac{196}{289} = 1\sin^2(e) = 1 - \frac{196}{289}\\\sin^2(e) = \frac{289 - 196}{289}\\sin^2(e) = \frac{93}{289}\)

Taking the square root of both sides:

\(\sin(e) = \pm \sqrt{\frac{93}{289}}\sin(e) \approx \pm 0.306\)

Since e terminates in the interval [0°, 90°], the value of sin(e) should be positive. Therefore, the solution is:

\(\sin(e) \approx \pm 0.306\)

Please note that the value is approximate and given in decimal form.

To know more about Pythagorean visit-

brainly.com/question/28032950

#SPJ11

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

To learn more about finding Probability :

https://brainly.com/question/25839839

#SPJ11

TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

To know more about the Continuous Random Variable, here

https://brainly.com/question/17217746

#SPJ4

Answer:7.65

Step-by-step explanation:

4.5/10 is 0.45 which is the unit rate then you multiply it with 17 and get 7.65

The average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

The function f(x)=80(1.5)x

where x is the time in hours

Then,

f(4)=80(1.5)4=480

f(8)=80(1.5)8=960

f(0)=80(1.5)0=0

Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)

=120 units per hour

The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)

=120 units per hour

Hence, the average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

Learn more about function here

brainly.com/question/12431044

#SPJ4

The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.

This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.

Therefore, (136 - 5 - 1) = 130 degrees of freedom.

Visit here to learn more about variable's coefficients brainly.com/question/30024970

#SPJ11

Using the first three Taylor polynomials for f(x) = 1 + x centered at 0, the three approximations to 1.1 are 1, 1.55, and 1.3975. These values are obtained by substituting 1.1 into each polynomial.

To determine three approximations to 1.1 using the first three Taylor polynomials for f(x) = 1 + x centered at 0, we can substitute x = 1.1 into each polynomial.

For P0:

P0 = 1

Approximation to 1.1 using P0 is 1.

For P1:

P1 = 1 + x/2

Substituting x = 1.1:

P1 ≈ 1 + 1.1/2

P1 ≈ 1 + 0.55

Approximation to 1.1 using P1 is 1.55.

For P2:

P2 = 1 + x/2 - x^2/8

Substituting x = 1.1:

P2 ≈ 1 + 1.1/2 - (1.1)^2/8

P2 ≈ 1 + 0.55 - 0.1525

Approximation to 1.1 using P2 is 1.3975.

Therefore, the three approximations to 1.1 using the first three Taylor polynomials for f(x) = 1 + x centered at 0 are:

1, 1.55, and 1.3975.

To know more about Taylor polynomials refer here:

https://brainly.com/question/30551664#

#SPJ11

Answer:

12.5 percent

Step-by-step explanation:

Well if you do

12/96

Simplify that

to get

1/8

1/8=12.5

Answer:

Coordinates:

(-1,2)

(2,2)

(2,3)

(1,3)

(1,4)

(-1,4)

Step-by-step explanation:

The line y=-x is basically a diagonal going from top left to bottom right.

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

Learn more about charge here:

https://brainly.com/question/18102056

#SPJ11

Answer:

144 square foot

Step-by-step explanation:

Area of rectangle: Length × breadth

Area of rectangle = 16 × 9

                             = 144 square foot

The population in the given scenario of a researcher randomly choosing 1000 Kentucky families to estimate the proportion of all American families who routinely eat dinner together is all American families (option c).

In the given scenario, the population is all American families. The researcher has randomly chosen 1000 families from Kentucky to estimate the proportion of all American families who routinely eat dinner together. The researcher is using the sample of 1000 Kentucky families to make inferences about the population of all American families. By assuming that the sample is representative of the population, the researcher can use statistical methods to estimate the proportion of all American families who routinely eat dinner together. So, option C is the correct answer.

You can learn more about random sample at

https://brainly.com/question/24466382

#SPJ11

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

our baseline here is

5 + 9 = 14 ft.

the height is 12 ft.

so, the area is

14×12 / 2 = 14×6 = 84 ft²

Answer:

Yes, the function is symmetric about y-axis.

Step-by-step explanation:

To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.

If h(x) = h(-x) then it is symmetric about y-axis.

Let's find h(-x) now.

h(-x)= \((-x)^4} -5(-x)^{2} +3\)

Let's simplify it

h(-x)=\(x^{4}-5x^{2} +3\)

Here, h(x) = h(-x). The function is symmetric about y-axis.

Answer:

x+4

It's too short. Write at least 20 characters to explain it well.

Answer:

The required point is (4, -4)

Step-by-step explanation:

For any point to map onto itself after reflection across the line, The first condition is that the point must lie on the line.

So, check the given points which lie on the equation of the given line :

y = -x

(-4, -4)

y = -4 and -x = - (-4) = 4

⇒ y ≠ -x

So, (-4, -4) is rejected.

(-4, 0)

y = -4 and -x = 0

⇒ y ≠ -x

So, (-4, 0) is rejected.

(0, -4)

y = 0 and -x = - (-4) = 4

⇒ y ≠ -x

So, (0, -4) is rejected.

(4, -4)

y = 4 and -x = - (-4) = 4

⇒ y = -x

So, (4, -4) is the required point which would map onto itself after a reflection across the given line y = -x

Hence, the required point is (4, -4)

Answer:

the degree is 5

they are in decending order

Step-by-step explanation: