Riley was scuba diving 12 feet below sea level. She dove 8 feet further down what now what is the expression.

Answer: \(\frac{x^2}{6^2} +\frac{y^2}{3^2} =1\)

Answer:

100

Step-by-step explanation:

Just add

The height of the room is 5 m.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length = 7 m

Width = 2 m

Height = x

Four walls of a room will have,

Two walls of length x height.

Two walls of Width x height.

Now,

Area four walls of the room = 90 m

2 (length x height) + 2 (Width x height) = 90

2 (7x) + 2 (2x) = 90

14x + 4x = 90

18x = 90

x = 5

Thus,

Height of the room = 5 m.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

A complex number z = a + bi has the trigonometric form z = r(cosθ + I sinθ ), where r = |a + bi| is z's modulus and tanθ = b.

the angle generated by the complex number on a polar graph having one real axis and one imaginary axis. This may be calculated using the right angle trigonometry for the trigonometric functions. Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

To know more about trigonometrical complex number refer to https://brainly.com/question/4457023

#SPJ1

Using the given formula, the sum of S(n) for the arithmetic series is 565.5.

In the given question we have to find the sum S(n) for the arithmetic series

The given formula is S(n)=n/2 {a(1)+a(n)}

The given values are a(1)=12, a(n)=75,n=13

We just have to put values in given formula

S(n)=n/2 {a(1)+a(n)}

S(n)=13/2 (12+75)

S(n)=6.5*87

S(n)=565.5

Hence, the sum of S(n) for the arithmetic series described is 565.5.

To learn more about arithmetic series link is here

brainly.com/question/8919590

#SPJ1

Answer: There are 3 teaspoons in a tablespoon, so to convert tablespoons to teaspoons, multiply the number of tablespoons by 3.

Example:

2 tablespoons = 2 x 3 = 6 teaspoons

Step-by-step explanation:

The length of each leg of a right triangle given that one angle is 22° and the length of the hypotenuse is 10 inches are 3.75 and 9.27 inches respectively.

In order to determine the length of the opposite side and adjacent side, we would apply both the cosine and sine trigonometry ratio because the given side lengths represent the hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

By substituting the parameters into the sine trigonometry ratio formula, we have the following;

sin(θ) = Opp/Hyp

sin(22) = y/10

y = 10sin(22)

y = 3.75 inches.

For the adjacent side, we have:

cos(θ) = Adj/Hyp

cos(22) = x/10

x = 10cos(22)

x = 9.27 inches.

Read more on right angle triangle and trigonometric function here: brainly.com/question/24349828

#SPJ1

while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

To know more about compound visit:

brainly.com/question/14117795

#SPJ11

The original expression \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\) was rationalized by multiplying both numerator and denominator by \($\sqrt[3]{4} \sqrt[3]{2}$\), and then dividing numerator and denominator by \($\sqrt[3]{4}$\).

\($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}} = \frac{\sqrt[3]{8}}{4}$\)

Minimum possible value of \($ab = 32$\)

\(= \frac{\sqrt[3]{4} \sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{4} \sqrt[3]{2}}$= \frac{\sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{2}}$= \frac{\sqrt[3]{8}}{4}$\)

We start with the given expression, \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\), which is in the form \($\frac{p}{qr}$\). To rationalize the denominator, we need to multiply both numerator and denominator by qr (which is \($\sqrt[3]{4} \sqrt[3]{2}$\) in this case). This gives us\($\frac{\sqrt[3]{4} \sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{4} \sqrt[3]{2}}$\). We can simplify this expression further by dividing both numerator and denominator by \($\sqrt[3]{4}$\), giving us \($\frac{\sqrt[3]{8}}{\sqrt[3]{2} \sqrt[3]{4}}$\). Finally, we can simplify the denominator further by multiplying both numerator and denominator by \($\sqrt[3]{2}$\), giving us the final result of \($\frac{\sqrt[3]{8}}{4}$\). The minimum possible value of ab is 32.

The original expression \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\) was rationalized by multiplying both numerator and denominator by \($\sqrt[3]{4} \sqrt[3]{2}$\), and then dividing numerator and denominator by \($\sqrt[3]{4}$\). The final result was\($\frac{\sqrt[3]{8}}{4}$\), and the minimum possible value of ab was 32.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

The given problem statement is about determining the Boolean function, the truth table, and the logic diagram of an LED board having four types of LED, including blue, green, white, and red. The objective is to light up blue and white LEDs simultaneously.

An LED (Light Emitting Diode) is a semiconductor device that emits light when an electric current is passed through it. LEDs are commonly used in electronic circuits and devices such as watches, calculators, and traffic lights to display information. They can be found in various shapes, sizes, colors, and brightness. LEDs have several advantages over traditional incandescent bulbs, such as lower energy consumption, longer lifespan, and faster switching.

The LED board includes four types of LED: blue, green, white, and red. The LEDs are arranged in pairs such that 0 and 4 numbers LEDs are blue, 1 and 5 numbers are green, 2 and 6 numbers are white, and 3 and 7 are red. We want to light up blue and white LEDs at the same time. The output function should be determined using Boolean function knowledge and drawing the truth table, deriving the function, and drawing the logic diagram.Solution:To solve this problem, we need to use the Boolean function knowledge.

To know more about statement visit:

https://brainly.com/question/31062578

#SPJ11

The probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is 59.87%

What is the normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The formula for z-score is z = (x -μ)/σ

Where,

Z is standard score.

X is observed value.

μ is mean of the sample.

σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the normal distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Using continuity correction, the probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is P(X < 20 - 0.5) = P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

z = (20 -19.25)/2.943

z = 0.25 has a p-value of 0.5987.

0.5987 =59.87%

To learn more about binomial distribution, click on below link

https://brainly.com/question/16184408

#SPJ4

Answer:

four hundred fifty three three hundred twenty sevenths

The formula for marginal profit is MP(x) = R'(x) - C'(x), where R'(x) and C'(x) are the first derivatives of R(x) and C(x) with respect to x, respectively. Therefore, to find the marginal profit at 140 items, we need to first find the first derivatives of R(x) and C(x) with respect to x.

R(x) = 1.9x² + 280z

To find the derivative of R(x) with respect to x, we differentiate the expression with respect to x.R'(x) = 3.8xThe first derivative of R(x) with respect to x is 3.8x.C(x) = 3,000 + 2x To find the derivative of C(x) with respect to x, we differentiate the expression with respect to x.C'(x) = 2.

The first derivative of C(x) with respect to x is 2.Now, we can find the marginal profit at 140 items by substituting x = 140 in the formula for marginal profit.

MP(140) = R'(140) - C'(140)

MP(140) = 3.8(140) - 2

MP(140) = 532 - 2

MP(140) = 530 dollars.

Therefore, the marginal profit at 140 items is 530 dollars.

To know more about marginal profit visit :

https://brainly.com/question/30145972

#SPJ11

Answer:

1.75p + 1.50(p + 6) = 22

Step-by-Step:

p = peaches, m = mangos

1.75p + 1.50m = 22

m = p + 6

1.75p + 1.50(p + 6) = 22

1.75p + 1.50p + 9 = 22

1.75p + 1.50p = 22 - 9

3.25p = 13

p = 13 / 3.25

p = 4 <====== she bought 4 peaches

m = p + 6

m = 4 + 6

m = 10 <===== she bought 10 mangos

check...

1.75p + 1.50m = 22

1.75(4) + 1.50(10) = 22

7 + 15 = 22

22 = 22 (correct)

Step-by-step explanation:

wala bang tagalog na tanong

Answer:

2/45 or 0.04

Step-by-step explanation:

Answer:

2/45

Step-by-step explanation:

find LCM of 9 & 10 which is 90

√ (10*4 - 9*4)/90 = (40-36)/90

√ 4/90 and simplify to 2/45

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

The term civil disobedience suggest that make someone else to decide what is right or what is wrong.

As in the concept of Civil Disobedience, the author called Thoreau's basic premise is that a higher law than civil law demands the obedience of the individual. And it will also states that Human law and government are subordinate. According to the given cases where the two are at odds with one another, then the individual must follow his conscience and, and if is necessary, then it disregard human law.

And it will also states that a refusal to obey an order from a civil authority or public nonviolent violation of a legal prohibition. And then It can be an individual or corporate act. By those undertaking civil disobedience seek to understand and act on a higher law.

To know more about Law here,

https://brainly.com/question/16807378

#SPJ4

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's Simply ~

Therefore, the correct choice is ~ A

Since varies directly with y, the value of y when x= 10 is equal to -80/3.

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = -8/3

When the value x = 10, the value of y can be calculated as follows;

y = kx

y = -8/3 × 10

y = -80/3

Read more on proportional relationship here: brainly.com/question/20167968

#SPJ1

Answer:

yards

Step-by-step explanation:

Answer:

Which is greater, 2 miles

1 mile = 1760 yards

2 miles = 2 * 1760

2 miles = 3,520 yards

How much greater?

3,520 - 1000 = 2520 yards

The large-sample confidence interval for comparing two proportions can be used when certain conditions are met.

The large-sample confidence interval for comparing two proportions can be used when the following conditions are satisfied:

Under these conditions, the large-sample confidence interval can provide a reasonable estimate of the true difference between the two proportions. It is important to note that this method relies on asymptotic approximations and may not be accurate for small sample sizes or when the conditions are not met. In such cases, alternative methods like exact tests or simulation-based approaches may be more appropriate.

Learn more about confidence interval here:

https://brainly.com/question/32546207

#SPJ11

Answer:

240

Step-by-step explanation:

if she walks once round the squar you calculate the perimeter which is 2(L+L) 2(6+6) which is 24 times 10 gives us 240

Answer:

he spends $1.5 on strawberries and $6.75 on apples

Answer:

h

Step-by-step explanation:

Solution

The recursive formular for geometric sequence:

Recursive formula for a geometric sequence is

where r is the common ratio

This is called recursive formula for geometric sequence.

Hence the recursive formula =

Answer:

bit.\(^{}\)ly/3a8Nt8n

Step-by-step explanation:

Answer:

5x-6

Step-by-step explanation:

Answer:

options C and D is the answer