Calculate the value of B in the triangle below.

Answer:

13 is the answer

Step-by-step explanation:

Answer:

YZ is 4+√55 cm.

Step-by-step explanation:

\(a^2+b^2=c^2\)

\(3^2+b^2=5^2\)

\(9+b^2=25\)

\(b^2=16\\b=4\)

\(a^2+b^2=c^2\\3^2+b^2=8^2\\9+b^2=64\\b^2=55\\b=\sqrt{55}\)

4+√55

The number line 5 ≤ 8-3x  shows the solution to the inequality as x cannot be more than 1.

A inequality compares two values and indicates whether one is smaller, larger, or simply not equal to the other.

a  ≠ b is the information that a and b are not equal.

If a  > b, a is greater than b. (these two are defined as strict inequality)

a ≤ b proves that a is less than or equal to b

a ≥ b proves that a is greater than or equal to b

The number line 5 ≤ 8-3x  shows the solution to the inequality as x cannot be more than 1.

If x is more than 1, lets say 2

Then the inequality as follows

5 ≤ 8-3(2) ≤ 14

5 ≤ 8-6 ≤ 14

5 ≤ 2 ≤ 14  this statement becomes false

Therefore x, must be lower than 1

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Answer:It would be the first class

Step-by-step explanation:

Because you are paying $70 per month and get a the class you want. and also i had the sames question also

just because the second class has smaller fees it also says that  you have to pay more for every class.

Answer:

7 boys

29 children dont own pets

there are 21 children all together

29/50

7/21

Answer:Sanjay has 8

Step-by-step explanation: Because 8x4 equals 32 so thats how much tanya has a 32+8 equals 40. This is what I did I knew 10x4 is 40 so that couldn't be it so then I tried 8 because nine x four is 36 which would be to high so I tried 8 and it was perfect hope this helps.

If Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, then Sanjay have 8 pens.

Two or more expressions with an equal signs is called as Equation.

Given that Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, We need to find how many pens sanjay has.

Let sanjay has x number of pens.

Tanya has four times as many pens as Sanjay

So 4 times means four multiple of sanjay pens.

Tanya has four times as many pens as Sanjay can be write as 4x.

Combined of tanya and sanjay has 40 pens.

Combined means adding.

x+4x=40

Add the like terms

5x=40

Divide both sides by 5.

x=8

So Sanjay has eight pens and Tanya has 4(8)=32 pens.

Hence Sanjay have eight pens.

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Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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Answer:

Ravi's age after 15 years = x+15

Ravi's age = 4 times his present age = 4x

According to question -

15 + x = 4x

=> 15 = 4x-x = 3x

=> 15 = 3x

=> x = 15/3

=> x = 5

Thus , Ravi's present age is 5 years.

Step-by-step explanation:

Answer:

the value of the z is -3.5

Step-by-step explanation:

According to the question, the following information is given

-2z - 7

Based on the above information

We assume that we have to determine the z value

so

-2z - 7 = 0

-2z = 7

z = 7 ÷ -2

= -3.5

Hence, the value of the z is -3.5

The same is to be considered and relevant too

The required equation in the slope-intercept form of the line is y = -1/2x.

Given that,
To determine an equation in slope-intercept form for the line that passes through the given point (−4, 2) and is parallel to the graph of the equation y = −1/2x+6.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Slope the line is given as, from the line y = -1/2x + 6
m = -1/2
Now,
The standard form of the equation is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 2 = -1/2 [x + 4]
y = -1/2x - 2 + 2
y = -1/2x

Thus, the required equation in the slope-intercept form of the line is y = -1/2x.

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6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

Step-by-step explanation:

part a = 1 x 4

part b = b

Answer:

y=2x+25

the graph is B.

Step-by-step explanation:

is the puppy weighs 56 ounces then it weighs 3.5 pounds

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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Ratio of lawns to hours is 6:5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Frank mows the lawn constantly 6/5 per hour

But Rate is also equal to number of lawns mowed in a certain amount of time.

Since ratio should always be in terms of simple whole numbers.

If 6/5 lawns are mowed in 1 hour, then,

6 lawns will be mowed in:6/6/5

=5 hours

therefore, 6 laws will be mowed in 5 hours.

Hence, Ratio of lawns to hours is 6:5

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Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer: ion evn kno cuh

Step-by-step explanation:

Answer:

This is arithmetic sequence and the common difference is equal to -4.

Step-by-step explanation:

If yuh just want the answer here, not explained

The imaginary unit, i, which represents the square root of -1 raised to power 4 is 1

The organized steps are;

Reason:

The given expression Sebastian simplified is; -4·i²¹²

The result Sebastian got = 4

The organized steps are presented as follows;

We have that 212 ÷ 4 = 3

Since i⁴ = 1

Then -4·1 = -4

Therefore, Sebastian is incorrect

The order of the steps are therefore;

Given  -4·i²¹²

Choice E; Since i⁴ = 1

Choice B; Then -4·1 = -4

Choice F; Therefore, Sebastian is incorrect

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Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

52 miles

Step-by-step explanation:

total miles needed to average 56

56 * 6 = 336

miles after 5 days

51 + 62 + 61 + 47 + 63 = 284

miles needed on last day

336 - 284 = 52 miles

The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer: 15 students per teacher, 8 students per tutor, 9 tutors per 72 students

Step-by-step explanation: Well to find how many student there are per teacher or per tutor, you have to divide so 60/4=15 students per teacher and 40/5=8 students per tutor, So having how many students we have for one tutor you can use that number to divide 72/8 to get 9 which is how many tutors you need if you had 72 students

Step-by-step explanation:

60 ÷ 4 = 15 students per teacher

40 ÷ 5 = 8 students per tutor

72 ÷ 8 = 9 tutors needed

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

Step-by-step explanation:

1) 10

2) 13

3) 19

4) 25

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.