What is the determinant of an identity matrix?
–10
–1
0
1

Answer:

The price to pay is $16.22

Step-by-step explanation:

From the question, the regular price is $24.95

now, there is a discount

So the price to pay is the regular minus the discount

Mathematically, we have this as:

24.95 - 35% of 24.95

= 24.95 - 0.35(24.95)

= $16.2175

This is approximately $16.22

Answer:

the answer is in the pic so like yea hope that helps

Answer:

The third side is 3

Step-by-step explanation:

The given triangle is a right-angled triangle. Pythagoras theorem can be used to find the third side of the triangle.

Pythagoras theorem states that:

\((Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\)

Given

Base = 4

Hypotenuse = 5

Putting the values in the formula

\((5)^2 = (4)^2 + (Perpendicular)^2\\25 = 16 + (Perpendicular)^2\\25-16 = (Perpendicular)^2\\(Perpendicular)^2 = 9\)

Taking square root on both sides

\(\sqrt{(Perpendicular)^2} = \sqrt{9}\\Perpendicular = 3\)

The third side is 3

Answer: 4

Step-by-step explanation:

When finding the third side in the most radical form of 3 and 5 the answer is 4

The best point estimate for the average number of classes per semester for all students at the local college is 4, based on the study that found students completed an average of 4 classes per semester and the sample of 132 students that was taken.

Based on the information provided, the best point estimate for the average number of classes per semester for all students at the local college can be calculated as follows:
1. Identify the sample average: In this case, it is given that students completed an average of 4 classes per semester.
2. Determine the sample size: Here, the sample size is 132 students.
Since the point estimate is essentially the sample average, the best point estimate for the average number of classes per semester for all students at the local college is 4.

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Answer:

5,386,830

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

"one number is three more than twice the second number"

15 * 2 = 30

30 + 3 = 33

15 + 33 = 48

Answer:

15

Step-by-step explanation:

The key to most problems of this type is carefully translating the word problem into math ... an equation.

"The sum of two numbers is 48."

"Sum": Add

"two numbers": we'll need two numbers... let's call them x & y

"is": =

"48": 48

So, the first sentence means:  \(x+y=48\)

Note that we have two unknowns here.  To solve for them, we'll need another equation... at least as many equations as unknowns (2 unknowns, needs 2 equations).

"If one number is three more than twice the second number..."

"one number": x

"is": =

"three more than": +3

"twice": 2*

"the second number": y

So, the second sentence introductory clause means: \(x=2y+3\)

We have a system of equations. We need as many equations as we have unknowns.  We currently have two equations, and two unknowns.  Let's try to solve the system:

\(x+y=48\)

\(x=2y+3\)

There are two main methods to solve systems of equations:  Substitution & Elimination

To use the Substitution Method, we'll need to isolate one of the variables in one of the equations, substitute, and solve.

To use the Elimination Method, we'll need to align like terms, find or build matching coefficients with opposite signs, add to eliminate, and solve.

Given that equation 2 already has x isolated, this system is already ready to use the Substitution method, so let's do that.

\(x+y=48\\x=2y+3\)

\((2y+3) + y = 48\)

\(2y+3 + y = 48\)

\(3y+3 = 48\)

\(3y= 45\)

\(y= 15\)

To find x, substitute back into one of the equations:  Equation 2 already has x isolated, so it will be easy to solve for x.

\(x=2(15)+3\)

\(x=30+3\)

\(x=33\)

So the solution we found is x=33 and y=15.

The sum of the numbers is 48:

\(x+y=(33)+(15)\\x+y=48\)

One number is three more than twice the second number

\(x=2y+3\)

\((33)\text{ ?=? }2(15)+3\)

\(33=33\)

Our answer satisfies all of the original conditions, so our answer works.

The question finally asks, "...which of the following is the smaller number?"

Of the two numbers, the smaller number is 15.

Answer:

6x+8y = 3

Step-by-step explanation:

we have 3x + 4y = 7

4y = -3x + 7

y = -3/4 x + 7/4

so slope is -3/4

2 parallel lines always have same slope

so the slope of our new line is -3/4

so y = -3/4 x + C

for c,

we have (x,y) = (-2/3,7/8)

7/8 = -3/4 * -2/3 + C

C = 3/8

so equation is

y = -3/4 x + 3/8

simplyfyig,

8y = -6x + 3

or, 6x+8y = 3

Answer:

47

Step-by-step explanation:

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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The square root of 378 is 19.4422

The square root of a number is a value that, when multiplied by itself, gives the original number. The symbol used to denote the square root is √, and it is placed in front of the number for which we are looking for the square root.

First, let's define what factorial means. The factorial of a non-negative integer is the product of all positive integers less than or equal to that number.

Next, we have to compute the square root of 378, which is a much simpler task. The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5 because 5 x 5 = 25. Using a calculator, we can find that the square root of 378 is approximately 19.4422.

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Complete Question:

What is the square root of 378?

Answer:y=0

Step-by-step explanation: 5(4)+5(0)=20

Answer:

7

Step-by-step explanation:

We see that are angles are both the same so perhaps the lengths are aswell.

Answer:

y2- y1 over

x2 -x2

\( - 3 - 0 = - 3\)

\(0 - 2 = - 2\)

Step-by-step explanation:

slope is m =

\(m = - \frac{3}{2} \)

use the -3 for b and you get

\(y = - \frac{3}{2} x - 3\)

slope intercept form

Answer:

d= -1/8

Step-by-step explanation:

8d+d+3d+2+4d= 16d+2

16d= -2

d= -1/8

Answer:

<1=134 degrees

<2=46 degrees

Step-by-step explanation:

Ans in attachment

hope it helps :)

plz mark as brainliest

hmmm if we take the whole area of the rectangle, well the rectangle is a 6x5, so the whole of its area is 6*5 = 30 in².

now, we have a circle inside, it really doesn't matter if it's in the center or corner so long is inside, hmmm well, we know it has a radius of 1, so let's get the area of the circle, and then subtract that area from that of the whole rectangle, by subtracting it we're in essence making a whole in the rectangle's area and what's leftover is the shaded region, that part that was not subtracted.

\(\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(6)(5)}~~ - ~~\stackrel{circle}{\pi (1)^2}}\implies 30~~ - ~~\pi \implies 30~~ - ~~3.14\implies 26.86\)

Answer:

it 288 cm.

i had this on my final exam and it was correct.

ur welcome. thank me later

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

you can use elimination to remove y from this equation

your first equation will be

4x+10y=-2; and you can multiply the other one by -10

30x-10y=-100

if you add the two equations, 10y and -10y will cancel out and you'll get

34x = -102

divide both sides by 34

x=-3

The opposite of -|6| is -6.

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,

- |6|

= -6

Now,

The opposite of 6 is -6.

So,

- |6|

= -|-6|

= - 6

We see that,

The opposite of -|6| is the same as -|6|.

Thus,

-6 is the opposite of -|6|.

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The perimeter is the distance all the way around. So it's the sum of the lengths of all 4 sides.

From the picture, you can clearly see the lengths of all 4 sides.

Writum down and adum up !

The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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The answers to all the equations are:

So, f(x):

(A) f(x) = x + 3 when f(4)

(B) f(x) = 2x - 9 when f(5)

(C) f(x) = -6x + 2 when f(-3)

Therefore, the answers to all the equations are:

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Answer:

h

Step-by-step explanation:

Do you mean, what's the base in "-(-6)^5

If so it's -6!

BB = 50

SOC = 60

HOC = 40

sum = 150

SOC + HOC = 12

BB + SOC = 30

BB + HOC = 20

BB + SOC + HOC = 10

first, these 10 we need to deduct twice from the total, as they were counted 3 times :

150 - 2×10 = 130

then the 12 of SOC + HOC minus the 10 BB + SOC + HOC = 2 were double counted and need to be removed once :

130 - 2 = 128

then the 30 of BB + SOC minus the 10 BB + SOC + HOC = 20 were double counted and need to be removed once :

128 - 20 = 108

then the 20 of BB + HOC minus the 10 BB + SOC + HOC = 10 were double counted and need to be removed once :

108 - 10 = 98

so, there were 98 students in the class.

FYI

so, there were

50 - (20 + 10) - 10 = 10 students playing only basketball.

60 - (2 + 20) - 10 = 28 students playing only soccer.

40 - (2 + 10) - 10 = 18 students playing only hockey.

in sum

10+28+18+2+20+10+10 = 98

The probability that a consumer who purchases 12 frozen chickens will have more than 6 contaminated chickens is 0.961, rounded to four decimal places.

Given that it has been estimated that 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked.

To solve this problem, we can use the binomial distribution, which models the number of successful outcomes in a fixed number of independent trials. In this case, each trial is whether a frozen chicken is contaminated or not, and a success is defined as a contaminated chicken. The number of trials is 12, and the probability of success is 0.30.

Using a binomial calculator or software, we can find the probability of having more than 6 contaminated chickens. This is equal to 1 minus the sum of the probabilities of having 0, 1, 2, ..., 6 contaminated chickens:

\(P(X > 6) = 1 - P(X \leq 6) = 1 - 0.039 = 0.961\)

So, the probability that a consumer who purchases 12 frozen chickens will have more than 6 contaminated chickens is 0.961, rounded to four decimal places.

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When two variables are inversely proportional we can represent them in the following manner:

Where "a" would be the constant of proportionality. In the case of our problem the y is inversely proportional to the square of "x", this means that the correct expression is:

We need to find the value of "a", to do that we will apply the ordered pair which was given to us (17,8).

Therefore the expression to this problem is:

We want to find the value of "y" when "x" is equal to 14, therefore:

The value of "y" is 11.8

Answer:

Basketball all the way!

Step-by-step explanation:

You should pick volleyball, its quite fun

If  your hotel is stories tall and the average story is feet high, the distance is  69 feet.

We can solve this problem using similar triangles. Let's call the distance between you and your hotel "x".

First, we need to determine the height of the building in front of you. Since we know it is five stories tall, and the average story is 10 feet high, its total height is 5 * 10 = 50 feet.

Now, we can use the similar triangles formed by the buildings and your line of sight to set up a proportion:

x / (h + 50) = 60 / h

where "h" is the height of the five-story building, and "h + 50" is the total height of the building and its billboard.

We can cross-multiply to get:

x * h = 60 * (h + 50)

Expanding the right side, we get:

x * h = 60h + 3000

Subtracting 60h from both sides, we get:

x * h - 60h = 3000

Factoring out the h, we get:

h * (x - 60) = 3000

Dividing both sides by h, we get:

x - 60 = 3000 / h

Substituting in the known values, we get:

x - 60 = 3000 / (10 * 32)

Simplifying, we get:

x - 60 = 9.375

Adding 60 to both sides, we get:

x = 69.375

x = 69 feet

Therefore, you are approximately 69 feet away from your hotel.

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The complete question is:

you are standing 60 feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is 32 stories tall and the average story is 10 feet high, how far away from your hotel are you?

Answer:

x > 16/5 or x < -3/4

Step-by-step explanation:

Equation 1: 5x - 4 > 12

Equation 2: 12x + 5 < -4

Equation 1: 5x - 4 > 12

add 4 to both sides

5x > 16

divide by 5 on both sides

x > 16/5

Equation 2: 12x + 5 < -4

subtract 5 on both sides

12x < -9

divide by 12 on both sides

x < -9/12

simplify

x < -3/4

The equivalent of the expression -2w-9+5w+3 is 3(w-2)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples is 2x+ 6y is equivalent to 2(x+3y)

The expression -2w-9+5w+3 can be factorized;

collect like terms

-2w-9+5w+3 = -2w+5w-9+3

= 3w-6

= 3( w-2)

therefore the equivalent of the expression -2w-9+5w+3 is 3(w-2)

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