Convert kilometers per week to inches per day (show all work using inline units) 2. A fluid is weighed in the lab. It is found that 2.1 U.S. gallons of the fluid weighs 155.2 ounces. What is the fluid's density in kg/m3 ? 3. A formula to estimate the volume rate of flow, Q, flowing over a dam of length, B, is given by the equation: Q=3.09BH3/2 Where H is the depth of the water above the top of the dam (called the head). This formula gives Q in ft3/s when B and H are in feet. Is the constant, 3.09, dimensionless? Would this equation be valid if units other than feet and seconds were used? 4. A tank contains 500 kg of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank. 5. Estimate the pounds of mercury (Hg)it would take to fill a standard bucket you might buy at Lowes or Home Depot. List all assumptions and show all calculations. 6. A helium-filled blimp is used at various athletic events. Determine the number of pounds of helium within it if its volume is 68,000ft3and the temperature and pressure are 80∘Fand 14.2 psia (pounds per square inch absolute pressure), respectively. 7. The specific weight of a certain liquid is 63.7lb/ft3. Determine its density and specific gravity.

Answer:

x = 4, y = 3.

Step-by-step explanation:

2x - 2y = 2

2x + y = 11     Subtract:

-3y = -9

y = -9/-3

y = 3

Plug y = 3 in equation 1:

2x - 2(3) = 2

2x - 6 = 2

2x = 2 + 6 = 8

x = 4.

Answer:

need this

Step-by-step explanation:

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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Answer:

6

Step-by-step explanation:

21/3=42/x

x=42*3/21

x=6

Answer:

48 inches

Step-by-step explanation:

64 - 16 = 48 inches

Answer:

May be the second one

Step-by-step explanation:

hope it'll help ☺️

The correct translation of the equation 5x - 7 = 3 is "Seven less than 5 times a number is 3."

This translation accurately reflects the given equation. The term "5 times a number" represents 5x, indicating that the number is multiplied by 5. The term "Seven less than" signifies that 7 is subtracted from the result of 5 times a number. Finally, the phrase "is 3" states that the resulting expression is equal to 3. Therefore, the translation "Seven less than 5 times a number is 3" captures the essence of the equation 5x - 7 = 3 in a concise and accurate manner.

Therefore, The correct translation of the equation 5x - 7 = 3 is "Seven less than 5 times a number is 3."

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The area of a circle with a circumference of 12π is given as follows:

36π square units.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The circumference of a circle of radius r is given as follows:

C = 2πr.

Hence the radius of a circle of circumference 12π is given as follows:

2πr = 12π

r = 6.

Meaning that the area of the circle is of:

A = π x 6²

A = 36π square units.

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Im so sorry i don't know.

Answer:

1. ⅘

2. 15/4 (if you need it simplified then it's 3 ¾)

3. ⅗

Step-by-step explanation:

1. ⅘ × 2 × ½ = ⅘

2. 1 ¼ × 3 = 15/4 (simplified version: 15 ÷ 4 = 3 r3, so it's 3 ¾)

3. ⅗ × 2 × ½ = ⅗

Hope this helps!

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope (rise/run) is 3/4 and the y-intercept is -2.

Hope this helps. Pls give brainliest.

An equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

The given coordinate points are (4, 1) and (8, 4).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope = (y2-y1)/(x2-x1)

= (4-1)/(8-4)

= 3/4

Put m=3/4 and (x,y)=(4,1) in y=mx+c

1=3/4 (4)+c

⇒c=-2

Now, substitute m=3/4 and c=-2 in y=mx+c and simplify

That is y=3/4 x-2

Therefore, an equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

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Answer:

12/18 every hour

Step-by-step explanation:

2/3 =10 minutes

4/6 = 20 minutes

6/9 = 30 minutes

8/12 = 40 minutes

10/15 =50 minutes

12/18 = 60 minutes

We have the equation:

Given the slope-intercept formula for the equation of the line, we have the following:

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

Step-by-step explanation:

the answer is in the above image

Answer: -3

Step-by-step explanation:

Given points (-1,6) and (2,-3), we can use the slope formula y2-y1/x2-x1 to find the slope

6-(-3)/-1-2 = 9/-3 = -3

Slope is -3

Answer: 15

Step-by-step explanation:

Answer:

8+3(5+2)-7x2

=8+3×7-7×2

=8+21-14

=29-14

=15

Answer:

To get the discount for the 5 pound bag of apples, we must first note the following:

The original price of the apples, which in this case it is 2.99

Also we must note the sale price for the apples which is 1.59

to get the discount for apples we must then create an equation based on the above information,

Discount for A= original price -sale price

Discount for A=2.99-1.59

Discount for A=1.40

Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.

Part 2

To get the discount for oranges we follow the same steps.

Discount for R= Original price for R -sale price for R

Discount for R=3.99-2.59

Discount for R=1.40

In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:

D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)

Answer:

I'm not certain I understand what is being requested.  Please see the attached explanation for two different approaches.

Step-by-step explanation:

See attachment.

Answer:

The answer to your question is -½

Step-by-step explanation:

Correct me if I'm wrong. Have a good day :)

Answer:

No real roots, two complex roots

Step-by-step explanation:

By calculating the discriminant:

\(D=b^2-4ac=5^2-4(5)(21)=25-420=-395 < 0\), then there will be no real zeroes. However, there will be two complex roots.

Answer:

Step-by-step explanation:

The flat fee of $5 is what you will make from that sponsor whether you walk 1 mile or 200 miles. If you make $2 per mile and then number of miles you walk is the independent variable, the expression for that is 2x. The expression that describes this situation is

2x + 5

Answer:

5 + 2m

Step-by-step explanation:

total amount = flat fee + amount per mile

Let m = number of miles

total amount = 5 + 2m

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

Hospitals collect a wide variety of data on patient health and medical procedures, including demographic information, diagnoses, procedures, and treatments.

This data can be very valuable to public health organizations like the CDC, which use it to better understand patterns and trends in disease and illness.

For example, the CDC might use hospital data to track the spread of a particular disease or to identify areas where certain types of illnesses are more common.

Hence, The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

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In this system, we can represent the Markov chain with different states, where each state represents the number of RB particles present in the box.

Since we have 3 R particles and 3 B particles initially, the possible states are:

State 0: No RB particles (RRRBBB)

State 1: One RB particle (RRRB, RBBB, RRBR)

State 2: Two RB particles (RBBR, RRRB)

State 3: Three RB particles (RRRB)

Now, let's define the transition rates between these states based on the given information:

From State 0, the transition rate to State 1 is 3 (as we wait on average for 1 second before R and B particles bind).

From State 1, the transition rate to State 0 is 1/4 (as RB particles remain together on average for 4 seconds before they decay) and the transition rate to State 2 is 2/4 (as there are two remaining R and B particles to form another RB particle).

From State 2, the transition rate to State 1 is 2/4 (as RB particles decay and one RB particle is lost) and the transition rate to State 3 is 1/4 (as there is one remaining R and B particle to form another RB particle).

From State 3, the transition rate to State 2 is 3 (as we wait on average for 1 second before R and B particles bind).

Based on these transition rates, we can draw the transition diagram for the Markov chain, with labeled edges indicating the transition rates between states.

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The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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Answer:The integer is 67

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer:

\( \sqrt{58} \)

The quotient of the expression (7¹⁸/7⁻⁹) expressed as a power of 7 is 7 ²⁷.

The quotient of the expression is calculated as follows;

When you divide two numbers with the same base, you subtract the exponents of the base. Using this rule, we can simplify the expression as follows;

7¹⁸ / 7⁻⁹

= 7 ⁽¹⁸ ⁻ ⁻⁹⁾

= 7 ⁽¹⁸ ⁺ ⁹⁾

= 7 ²⁷

Therefore, the quotient of the expression (7¹⁸/7⁻⁹) is 7 ²⁷.

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The Z-score corresponding to x = 150 is -1.4

To find the Z-score corresponding to a given value x, we can use the formula:

Z = (x - μ) / σ

Where:

Z is the Z-score

x is the value of interest

μ is the population mean

σ is the population standard deviation

In this case, the population mean (μ) is 178 and the population standard deviation (σ) is 20.0. We want to find the Z-score for x = 150.

Plugging the values into the formula, we have:

Z = (150 - 178) / 20.0

Calculating this, we get:

Z = -28 / 20.0

Simplifying, we have:

Z = -1.4

Therefore, the Z-score corresponding to x = 150 is -1.4

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The example of a  hypothesis is: a person is innocent until proven guilty. The statement is true

Here the given situation is

A person is innocent until proven guilty.

The hypothesis test is defined as the test in statistics whereby an analyst tests an assumption regarding a population parameter. In hypothesis test using the data from the different types of t sample and the determine the other parameters of the population

The null hypothesis is defined as the a statement of what the statistician expects NOT to find.

Here the given situation is a person is innocent until proven guilty. Therefore, it is a null hypothesis.

In hypothesis test we assume that null hypothesis until it is proven

Therefore, the given statement true

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9514 1404 393

Answer:

A.

B.

Step-by-step explanation:

For solving questions as to whether a given point is a solution to an inequality, it often works well to graph the inequality and plot the point on the graph. Here, the only points that are in the solution area are (0, -1) and (2, -4), corresponding to questions 3 and 5. This is shown in the first attachment.

  1. no; 2. no; 3. yes; 4. no; 5. yes

__

1. One inequality relates to total cost. The cost must be less than or equal to 60 Php. The equations use the given variable definitions and cost values.

  10x +15y ≤ 60

The other inequality relates to quantity of items. The total quantity must be 3 or more.

  x +y ≥ 3

__

2. The x-intercept is found by setting y=0 and dividing by the x-coefficient. Similarly, the y-coefficient is found by setting x=0 an dividing by the y-coefficient.

10x +15y ≤ 60

  x-intercept: 60/10 = 6   y-intercept: 60/15 = 4

x +y ≥ 3

  x-intercept: 3/1 = 3  y-intercept: 3/1 = 3

The graph of the inequalities and their intercepts is shown in the second attachment.