How do you factor 5x+10y+30z

Answer:

3.3

Step-by-step explanation:

Hour : H

subtract the 75 from both sidesso the variable would be on one side and the knowns would be on the other side

45H + 75 = 225

        -75      -75

Divide by 45 from both sides

45H = 150

÷45     ÷45

3.33

Answer:

14cm

Step-by-step explanation:

formula of a rectangular container is LBH and we were given that LBH is 2*11*20 which is equal to 440cm.

Now when the water is transferred into a hollow cylindrical container.the formula for that is 2pierh.440=2*22/7*5*h

440*7=220h

3080=220h

h=14cm

Answer:The volume of a rectangular container is

V = L X B X H, while the volume of the Cylindrical container is

V = pie( r^2)h where ( pie = 3.142 )

Volume of the rectangle = 2 x 11 x 20

= 440cm^3

Now to find the height of the cylinder we now equate the volume of the rectangle with that of the cylinder and make h the subject of the formula

440 = pie(r^2)h

= 3.142 x 5^2 x h

= 3.142 x 25 X h

=78.55h

440 = 78.55h

h. = 440/78.55

= 5.6cm

Step-by-step explanation:

Answer:

i think 8cm is triangle area

Step-by-step explanation:

because i saw that 8cm on the side so I told 8cm the triangle.

Answer: 8° per day.

Step-by-step explanation:

Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:

= 24° / 3 days

= 8° per day

The number of cups of rice the restaurant would need for 20 cups of veggies is 5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The recipe calls for 1/4 cup of rice for every 1 cup of veggies.

Now,

1cup veggie = 1/4 cup rice

20cup veggies= 1/4 * 20 cup rice

=5

Therefore, by algebra the count of cups of rice will be 5.

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The correct option is d) 0.998 is the truncation error for S3

Given series is S3.

That is A = 15, a=0.002, b=0.008, c=0.992.

Truncation error is defined as the difference between the true value of a series and the value obtained by truncating the series.

To calculate the truncation error of S3, we first need to calculate the next term in the series which is given as t4.

To calculate the truncation error we need to find the difference between the true value of the series and the value of the truncated series.

Hence, The truncation error for S3 is:

d = t4 = a(r)^3  = 0.002(0.8)^3 = 0.001024

Therefore, the truncation error for S3 is 0.001024, which is approximately equal to 0.001 or 0.1%.

Hence, the correct option is d) 0.998.

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The equation s% of 1/r translates to the expression s/100r

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

s% of 1/r

= (s/100) * (1/r)

= s/100r

The equation s% of 1/r translates to the expression s/100r

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There are 4 integers between 20 and 30 that have a prime factorization with exactly 3 factors that are not necessarily unique.

To find the integers with a prime factorization having exactly 3 factors, we need to look for numbers that can be expressed as the product of two distinct prime numbers.

Step 1: Identify the prime numbers between 20 and 30. The prime numbers in this range are 23, 29.
Step 2: Determine all possible pairs of distinct prime numbers. In this case, we have only one pair: (23, 29).
Step 3: Calculate the products of these pairs. The products of (23, 29) are 667 and 667.
Step 4: Count the integers between 20 and 30 that match these products. We have two integers that match, which are 21 and 27.
Step 5: Check if these integers have exactly 3 factors. The factors of 21 are 1, 3, 7, and 21 (a total of 4 factors), so it does not meet the criteria. The factors of 27 are 1, 3, 9, and 27 (a total of 4 factors), so it also does not meet the criteria.

Therefore, there are no integers between 20 and 30 with a prime factorization having exactly 3 factors that are not necessarily unique.

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Answer:

x < -28

Step-by-step explanation:

5x < -28

x < -28/5

The missing value of the table will be 11. Then the correct option is C.

The complete question is attached below.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation of the line is given below.

y = 2x - 7

The table is given below.

 x     y

5     3

9     ?

12    17

Then the missing value will be

y = 2 · 9 – 7

y = 18 – 7

y = 11

Then the correct option is C.

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Answer:

√104

Step-by-step explanation:

missing side = \(\sqrt{15^2-11^2} = \sqrt{225-121} = \sqrt{104}\)

Answer:

180

180 because all three angles shows only because it is traingle

Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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Answer: slope is -2!

Step-by-step explanation:

Answer:

1 /4

Step-by-step explanation:

kvjvjlljgvouvuojlvgiilg

Answer:

x=8,-2

Step-by-step explanation:

Add 10 to both sides.

{(x-3)}^{2}=15+10

2 Simplify 15+10+25

(x−3) ^2=25

3 Take the square root of both sides.

x-3=+or-√25

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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Fins play a crucial role in heat transfer processes by increasing the surface area available for heat exchange. In both losing and collecting heat scenarios, fins enhance heat transfer through convection.

By increasing the contact area between the fluid and the fin surface. Fins are commonly used in applications such as heat sinks, radiators, and air conditioning systems. In the case of losing heat, the fin is exposed to a higher temperature fluid or surface. The increased surface area of the fin allows for more efficient heat dissipation into the surrounding medium, facilitating heat transfer from the fin to the environment. The larger surface area promotes faster cooling by increasing the convective heat transfer coefficient.

Conversely, in the case of collecting heat, the fin is exposed to a lower temperature fluid or surface. The enlarged surface area enables the fin to efficiently absorb heat from the surrounding medium. The greater contact area enhances the convective heat transfer between the fluid and the fin, allowing for effective heat absorption.

In both scenarios, fins optimize heat transfer by providing a larger surface area for heat exchange, improving the convective heat transfer process, and enabling efficient heat dissipation or absorption, depending on the application.

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There are three possible 1-digit ternary sequences

There are eight possible 2-digit ternary sequences

f(n) be the number of n-digit ternary sequences in which no 1 appears anywhere to the right of any 2. We can find a recursive formula for f(n)as follows:

Consider any such n-digit sequence. There are two cases to consider for the leftmost digit:

The leftmost digit is 0: In this case, we can append any valid (n-1)-digit sequence to the right, which gives us f(n-1)possibilities.

The leftmost digit is 2: In this case: f(n)=f(n−1)+f(n−2)as the second digit must be 0 (since no 1 can appear to the right of any 2). After the second digit, we can append any valid (n-2)-digit sequence to the right, which gives us\($f(n-2)$\) possibilities.

Therefore, we have the recurrence r

with initial values f(1) = 3(since there are three possible 1-digit ternary sequences: 0, 1, or 2) and f(2) = 8 (since there are eight possible 2-digit ternary sequences: 00, 01, 02, 20, 21, 22, 10, 12).

A recurrence relation is an equation which represents a sequence based on some rule. It helps in finding the subsequent term (next term) dependent upon the preceding term (previous term). If we know the previous term in a given series, then we can easily determine the next term.

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Answer:

50.24cm2

Step-by-step explanation:

pi=3.14 so a=3.14x4square which equals 50.24cm2

The statement "Any first-order equation can be solved using the 'integrating factors to exact' technique" is false. The integrating factors method is used to solve first-order linear ordinary differential equations.

The integrating factors method is a powerful technique used to solve first-order linear ordinary differential equations of the form dy/dx + P(x)y = Q(x). It involves finding a suitable integrating factor, which is a function of x, that allows the equation to be rewritten in exact differential form and then solved using integration. This method is particularly effective for linear equations with variable coefficients.

However, not all first-order equations can be solved using the integrating factors technique. There are various types of first-order equations that require different methods for their solution. Examples include separable differential equations, exact differential equations, homogeneous differential equations, and Bernoulli differential equations, among others. Each type of equation may require a specific approach or transformation to solve.

Therefore, it is incorrect to claim that any first-order equation can be solved using the integrating factors to exact technique. The choice of method depends on the specific form and characteristics of the equation, and different techniques are employed accordingly.

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Answer:

Step-by-step explanation:

Answer:

y = 6x + 0

Step-by-step explanation:

Lets find the rate of change, or slope:

ROC = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

ROC = \(\frac{36-30}{6-5}\)

ROC = \(\frac{6}{1}\)

ROC = 6

So, now we can input 6 in y = 6x + b

Now lets pick an x and y value (Im picking 5 and 30, but you can another one)

30 = 6(5) + b

30 = 30 + b

b = 0

The equation is y = 6x + 0

Given that a future value annuity of 8,000 is accrued at 9% compounded annually, the present value of the annuity is evaluated as

Thus,

Substitute the above value into equation 1, to solve for PV

Hence, the sum to be invested is 31117.21

Answer:

it is 5

Step-by-step explanation:i nailed agelbra and i got a 100% percent on the tesy

Answer: the answer is 15

The result for simplifying;

\( {( \frac{2a²b×b⁴}{2a²b×9 {a}^{2} } )}^{ \frac{1}{2} } \)

is;

\( \frac{ {b}^{2} }{3b} \)

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

The greatest common factor the numerator and denominator is 2a²b and so we divide through with it to give;

\( {( \frac{b⁴}{9 {a}^{2} } )}^{ \frac{1}{2} } \)

evaluate the square root, we have;

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } = {( \frac{b²}{3a})} \)

Therefore,

\( {( \frac{b²}{3a})} \)

is the result after simplifying the algebraic expression

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } \)

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The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

Inequality are expressions not separated by an equal sign, Given the inequality;

2.1 + (-1.2x) ≥ 8

The sign ≥ means greater than or equal to

The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

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Answer:

The 1st, 4th, and 5th

Step-by-step explanation:

Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Answer:

12590/80*100 = $15,737.50 4. Is your Answer

Step-by-step explanation:

12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.