The perimeter of a rectangular solar panel is 540 cm. The ratio of the length to the width is 3 : 2. What are the length and width?

Answer:

He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.

Step-by-step explanation:

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

For more such questions on angle, click on:

https://brainly.com/question/25770607

#SPJ8

Answer:

 189 tickets

Step-by-step explanation:

The ratio 8 : 1 has a difference of 7 ratio units. The difference in tickets is 147, so each ratio unit must represent ...

 (147 tickets)/(7 ratio units) = 21 tickets/ratio unit

The total sales was 8+1 = 9 ratio units, so was ...

 (9 ratio units)(21 tickets/ratio unit) = 189 tickets

brainy please

The solution of the inequality 3(x + 3)–2 < 4 or 1– x ≤ –1 has been plotted on the number line

The inequalities are 3(x + 3)–2 < 4 or 1– x ≤ –1

The inequality shows the relationship between two values in an algebraic expression, the relationship are greater than or equal to, greater than, less than and less than or equal to.

The first inequality 3(x + 3) – 2 < 4

3(x + 3)–2 < 4

3x+9-2 < 4

3x+7 < 4

3x < 4-7

3x < -3

x < -1

The second inequality 1-x ≤ -1

-x ≤ -2

x ≥ 2

Plot the inequalities on the number line

Hence, the solution of the inequality 3(x + 3)–2 < 4 or 1– x ≤ –1 has been plotted on the number line

Learn more about inequality here

brainly.com/question/20383699

#SPJ1

The residual for x = 5 is 1.2.(d) The value 20.7 is above the average value for y when z = 5.

Using the equation of the line of best fit, we can predict the value of y for z = 5 by substituting z = 5:

y = 2.3z + 6.8 = 2.3(5) + 6.8 = 19.5

Therefore, the predicted value of y for z = 5 is 19.5.

To find the residual for x = 5, we need to calculate the difference between the actual value of y and the predicted value of y for x = 5:

residual = actual value of y - predicted value of y

= 20.7 - 19.5

= 1.2

Therefore, the residual for x = 5 is 1.2.

The best interpretation for the residual is that the value 20.7 is above the predicted value of y for z = 5, which means that the value 20.7 is above the average value for y when z = 5. Therefore, the correct answer is (d) The value 20.7 is above the average value for y when z = 5.

To learn more about equation:

https://brainly.com/question/10413253

#SPJ4

Answer:

Not a right angle triangle

A right angle triangle

Not a right angle triangle

Not a right angle triangle

Step-by-step explanation:

We have to verify using Pythagorean triplets

18,24,30   is  right triangle

9,40,41   is    right triangle

22,29,36   is  NOT right triangle

5,13,14    is   right triangle

Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

From this question, we can deduce the following:

2320 flowers ==> 29 seed packets

Let's find the number of seed packets needed to have a total of 5680 flowers.

Apply the proportionality equation.

2320 flowers = 29 seed packets

5680 flowers = x seed packets

We have the equation:

Cross multily and solve for x:

Answer: x=8

for every 5 there is 2

so for x=8

there are four 5's in 20

I hope this is good enough:

Answer:

x = 8

Step-by-step explanation:

I can confirm this is right I took test

Answer:

1. w = \(\bold{e^{7+6x}}\)

2. \(\bold{t = 2(log_a(7) - log_a(3))}\)

Step-by-step explanation:

1.

a. The exponential form of a logarithmic equation is given by:

\(\bold{log_a(b) }\)= c is equivalent to \(a^c = b\)

Using this rule, we can rewrite the equation:

ln w = 7 + 6x as w = \(\bold{e^{7+6x}}\)

Therefore, the exponential form of the given equation is w = \(\bold{e^{7+6x}}\)

2.

a. To solve for t using a logarithm with base a, we can take the logarithm of both sides of the equation:

\(\bold{3a^\frac{t}{2} = 7 }\\\bold{log_a3a^\frac{t}{2}= log_a(7)}\)

Using the rule of logarithms that log_a(b^n) = n*log_a(b), we can simplify the left side:

\(\bold{log_a(3) +\frac{t}{2} log_a(a) = log_a(7)}\)

Since log_a(a) = 1 for any base a, we can simplify the expression further:

\(\bold{log_a(3) + \frac{t}{2}*1= log_a(7)}\)

Now we can solve for t by isolating it on one side of the equation:

\(\bold{ \frac{t}{7} = (log_a(7) - log_a(3))} \\ \bold{t = 2(log_a(7) - log_a(3))}\)

Therefore, the solution for t using a logarithm with base a is\(\bold{t = 2(log_a(7) - log_a(3))}\)

Answer:

\(\textsf{1.} \quad w = e^{7 + 6x}\)

\(\textsf{2.} \quad t= \log_a\left(\dfrac{49}{9}\right)\)

Step-by-step explanation:

Exponential form is a way to represent a number using an exponent, where the base is raised to a power.

The natural logarithm function is the inverse of the exponential function:

\(\boxed{\ln x=y \iff x=e^y}\)

Therefore we can use this definition to change the given equation to exponential form:

\(\begin{aligned}\ln w & = 7 + 6x\\\\e^{\ln w} & = e^{7+6x}\\\\w&=e^{7+6x}\end{aligned}\)

Therefore, the exponential form of the equation is:

\(w = e^{7 + 6x}\)

\(\hrulefill\)

To solve for t using a logarithm with base a, begin by taking the logarithm of both sides of the equation with base a:

\(\log_a (3a^{\frac{t}{2}})=\log_a(7)\)

\(\textsf{Apply the log product law:} \quad \log_axy=\log_ax + \log_ay\)

\(\log_a (3)+\log_a(a^{\frac{t}{2}})=\log_a(7)\)

Subtract logₐ(3) from both sides of the equation:

\(\log_a (3)+\log_a(a^{\frac{t}{2}})-\log_a (3)=\log_a(7)-\log_a (3)\)

\(\log_a(a^{\frac{t}{2}})=\log_a(7)-\log_a (3)\)

\(\textsf{Apply the log quotient law:} \quad \log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)\)

\(\log_a(a^{\frac{t}{2}})=\log_a\left(\dfrac{7}{3}\right)\)

\(\textsf{Apply the log power law:} \quad \log_ax^n=n\log_ax\)

\(\dfrac{t}{2}\log_a(a)=\log_a\left(\dfrac{7}{3}\right)\)

Apply the log law:  logₐ(a) = 1

\(\dfrac{t}{2}(1)=\log_a\left(\dfrac{7}{3}\right)\)

\(\dfrac{t}{2}=\log_a\left(\dfrac{7}{3}\right)\)

Multiply both sides of the equation by 2:

\(2 \cdot \dfrac{t}{2}=2 \cdot \log_a\left(\dfrac{7}{3}\right)\)

\(t=2 \log_a\left(\dfrac{7}{3}\right)\)

Finally, apply the log power law:

\(t= \log_a\left(\dfrac{7}{3}\right)^2\)

\(t= \log_a\left(\dfrac{7^2}{3^2}\right)\)

\(t= \log_a\left(\dfrac{49}{9}\right)\)

Therefore, the solution for t in terms of logarithm with base a is:

\(\boxed{t= \log_a\left(\dfrac{49}{9}\right)}\)

1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)

2. f(1)/f(0) = 1.15.

3. f(2)/f(1) = 1.149.

Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.

i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:

f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]

f(1)/f(0) = 1.15/1

f(1)/f(0) = 1.15

ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:

f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]

f(2)/f(1)= (1.3225) / (1.15)

f(2)/f(1) = 1.149

Read more about function

brainly.com/question/11624077

#SPJ1

Answer:

a) \(\vec{F_{c}}=mR\omega^{2}\)

\(\vec{F_{c}}=9.53 \: N \vec{r}\)

b) \(|\vec{F_{c}}|=9.53 \: N \)

Step-by-step explanation:

a) The centripetal force equation is:

\(\vec{F_{c}}=m\vec{a_{c}}\)

\(\vec{F_{c}}=mR\omega^{2}\)

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

\(\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}\)

\(\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}\)

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

\(|\vec{F_{c}}|=9.53 \: N \)

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Answer:

Step-by-step explanation:

Answer:

The area of the triangle is 24.

Answer:

1

Step-by-step explanation:

The probability of this happening would be a 1 when placing a value between zero and one inclusive. One in this case would indicate a 100% probability. This is the case because in the question it is stated that it is "certain" that you will get 2 kings when selecting 50 cards, this means that no matter what it will happen every time 50 cards are drawn, thus making the probability 100%. If the question were phrased differently such as "what is the probability of getting 2 kings from 50 cards drawn?" then the probability would be 0.04 or 4% which is 2/50.

Using probability concepts, it is found that the likelihood is of 1.

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

A few observations regarding probabilities are important.

In this problem, you are certain to get 2 Kings when selecting 50 cards from a shuffled deck, hence the likelihood is of 1.

You can learn more about probabilities at https://brainly.com/question/15536019

Answer:

from the graph, there is point (1,3) and (-2,-3).

\(slope, \: m = \frac{(y _{2} - y _{1})}{(x _{2} - x _{1}) } \\ m = \frac{( - 3 - 3)}{( - 2 - 1)} \\ m = \frac{ - 6}{ - 3} \\ m = 2 \\ from \: general \: equation \: of \: a \: line \\ y = mx + c \\ consider \: point \: (1,3) \\ 3 = (2)(1) + c \\ 3 = 2 + c \\ c = 3 - 2 \\ c = 1 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = 2x + 1\)

Answer: D => y=2x+1

hmm let's do that with synthetic division, Check the picture below.

Answer:

Check image

Step-by-step explanation:

ANSWER

The arithmetic sequences are: I and iii

EXPLANATION

The formula for the nth term of an arithmetic sequence is:

where a1 is the first term of the sequence and d is the common difference.

For the first sequence I. 2, 4, 6, 8, 10... we can find the common difference by subtracting the first term from the second:

So the nth term of this sequence is:

Each term of this sequence follows this rule. Therefore this is an arithmetic sequence.

For the second sequence II. 2, 4, 8, 16, 32... there's no common difference because between the first and second term there's a difference of 2, between the second and third there's a difference of 4, and this increases as we move through the sequence. Therefore this is not an arithmetic sequence.

For the third one, III. a, a+2, a+4, a+6, a+8... we can see that there is a common difference:

The rule for the nth term is:

Let's find the first 5 terms:

This shows that each term follows the same rule. Therefore this is an arithmetic sequence.

The slope of the line that passes through points (10,4) and (7, 3) is 1/3

Here we are dealing with a slope of a line where a slope of a line is the change in the y coordinate with regard to the change in the x coordinate. If P(x1,y1) and Q(x2,y2) are the two points on a straight line, at that point the slope formula is given by:

m = Change in y-coordinates/Change in x-coordinates

m = (y₂– y₁)/(x₂ – x₁)

Since we are given two points (10,4) and (7, 3),  where x₁ and x₂ are 10, 7 whereas y₁ and y₂ are 4, 3

From  the formula we get,

m = (y₂-y₁)/(x₂-x₁)

 = ( 3-4)/(7 - 10)

 = -1/-3

 =1/3

To know more about the slope of a line refer to the link https://brainly.com/question/14511992?referrer=searchResults.

#SPJ1

Answer: x=20

Step-by-step explanation:

(6x-10)=(3x+50) (subtract both sides by 3x)

3x-10=50(add ten to both sides)

3x=60(divide both sides by 3)

x=20

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

for such more question on Kevin's account

https://brainly.com/question/26866234

#SPJ11

Answer:

1. <A° = 50°

2. CB = 10.7

3. AB = 14

Step-by-step explanation:

1. Determination of angle A.

A° + B° = C°

B° = 40°

C° = 90°

A° + 40° = 90°

Collect like terms

A° = 90° – 40°

<A° = 50°

2. Determination of CB

Angle B = 40

Opposite = AC = 9

Adjacent = CB =?

Length CB can be obtained by using Tan ratio as illustrated below:

Tan B = Opposite / Adjacent

Tan 40 = 9 / CB

0.8391 = 9 / CB

Cross multiply

0.8391 × CB = 9

Divide both side by 0.8391

CB = 9 / 0.8391

CB = 10.7

3. Determination of AB

Angle B = 40

Opposite = AC = 9

Hypothenus = AB =?

The length AB can be obtained by using Sine ratio as illustrated below:

Sine B = Opposite / Hypothenus

Sine 40 = 9 / AB

0.6428 = 9 / AB

Cross multiply

0.6428 × AB = 9

Divide both side by 0.6428

AB = 9 / 0.6428

AB = 14

The answer of 6and7 irrational number is 6.875

The area of the circle shown above is equal to: A. 1,520.5 cm².

Mathematically, the area of a circle can be calculated by using the following mathematical expression:

Area of a circle, A = πr²

Where:

r represents the radius of a circle.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of a circle, A = πr²

Area of a circle, A = 3.14 × 22²

Area of a circle, A = 1,520.5 cm².

Read more on a circle here: brainly.com/question/6615211

#SPJ1

Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

Distribute

-2*x -2*-5

-2x+10

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

To know more about Compound interest visit:

brainly.com/question/14295570

#SPJ1