NEED HELP ASAP!!
.What is the solution of the linear system?
–3x + 3y = 5

–x + y = 6
Question 16 options:

A)

No solution

B)

(–3,2)

C)

Infinitely many solutions

D)

(1,–6)

Answer:

The height of the flag was 3 feet.

Step-by-step explanation:

To solve this problem, we must first recall the formula for area of a rectangle to be:

Area = base * height

Next, we can substitute in the values that we were given in the problem.  We were told that the area was 27 square feet and the base was 9 feet.

27 = 9 * height

Now we can treat this equation that we have created similar to any other equation we would like to solve.  We must solve for the unknown, or the variable, which in this case is the height.  To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation.  This is modeled below:

27/9 = (9 * height)/9

3 = height

Therefore, the height of the flag was 3 feet.

Hope this helps!

Answer:

The height is 3,

Step-by-step explanation:

First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.

I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.

Hope this has helped!

:)

Given the expression :

Make the sum operation first then the product operation

So, The result will be as following :

======================================================================

Given : the following expression :

In this expression , we need to do the product operation first then the subtract operation

So,

Using the Central Limit Theorem, it is found that the correct option is

a. The expected values of R and S will be equal, and the variability of R will be less than the variability of S.

What is the Central Limit Theorem?

A sufficiently high sample size from a population with a finite level of variance will result in a mean of all samples from that population that is roughly equal to the population mean, according to the CLT, a statistical theory.

                             According to the central limit theorem, the distribution of the sample means will be roughly normally distributed if you take sufficiently large random samples from a population with mean and standard deviation and replacement.

The samples in this issue were drawn from the same population, thus they all had the same expected value.

R has less variability because there are more samples available.

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The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees

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

The circle and its properties

The angle in a semicircle is 90 degrees

So, we have

d = 90

Using the properties of angles, we have

a = 1/2 * 76

a = 38

Also, we have

a + b + d = 180 --- sum of angles in a triangle

So, we have

38 + b + 90 = 180

This gives

b = 52

Using the properties of angles, we have

b = 1/2 * c

52 =  1/2 * c

c = 104

Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees

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An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

hello your question is incomplete here is the complete question

write the expression as the sine, cosine,  or tangent of an angle.

\(sin 60 cos 15 + cos 60 sin 15\)

answer : \(sin 60 cos 15 + cos 60 sin 15 = sin 75\)

Step-by-step explanation:

To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity

\(sin 60 cos 15 + cos 60 sin 15\)  can be represented in the form of ;

sin( u + v ) = sin u cos v + cos u sin v --------- (1)

comparing equation 1 with the given expression

u = 60 and v = 15

therefore writing the expression in the form of the sine of an angle would be the answer

= sin( 60 + 15 )  = sin 60 cos 15 + cos 60 sin 15

hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15

Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24

Answer:

ok

Step-by-step explanation:

................................................

Answer:

lol no thanks for the points

Step-by-step explanation:

dwadawdwadawdssadws

Spinning a spinner with 4 equal sections could be used to simulate this situation. Each section of the spinner could represent a different coupon value: 10%, 15%, 20%, and 25%. Each spin of the spinner would be equally likely to result in any of the coupon values.

Hope this helps you

Answer:

-64

Step-by-step explanation:

-9(5-2) -111÷3

PEMDAS says parentheses first

-9(3) -111÷3

Then multiply and divide from left to right

-27 -111÷3

-27 -37

Now add and subtract from left to right

-64

The Solution:

Step 1:

We shall state the formula for calculating Z-score.

Step 2:

We shall substitute the above values in the formula.

Step 3:

We shall read the respective probabilities from the Z score distribution tables.

From the Z-score tables,

P(3) = 99.9 %

P(2) = 97.7 %

Step 4:

The Conclusion:

The probability that a worker selected makes between $500 and $550 is obtained as below:

Therefore, the required probability is 2.2 %

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Mark needs a score of 2 on the 5th test to pass the course

Let X be the score Mark needs to get on the fifth test to pass the course.

To find X, we can use the formula for the mean of five numbers:

(mean of 5 numbers) = (sum of the 5 numbers) / 5

We know that Mark needs a mean score of 10 to pass, so:

10 = (total score on all 5 tests) / 5

Multiplying both sides by 5, we get:

50 = total score on all 5 tests

We also know that Mark's mean score on the first four tests is 12, so:

(mean score on the first four tests) = (total score on the first four tests) / 4

12 = (total score on the first four tests) / 4

total score on the first four tests = 48

To pass the course with a mean score of 10, Mark needs a total score of 50, and he has already scored 48 on the first four tests. Therefore, he needs to score:

X = 50 - 48

X = 2

Mark needs a score of 2 on the fifth test to pass the course with a mean score of 10.

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The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

Speed formula

where

• s: speed, in mph

• d: distance traveled, in miles

• t: time elapsed, in hours

In the first trip, s = s1 and t = t1 = 3 hours, that is,

In the second trip, s = s2 and t = t2 = 2 hours, that is,

Notice that in the first and second trips the distance is the same, and that is why the same variable is used.

On the second trip, he was able to increase his average speed by 20 mph, then:

Substituting with the previous relationships:

Solving for d:

Substituting this result into the s2 formula:

His average speed on the return drive was 60 mph

Answer:

b

Step-by-step explanation:

n

Answer: 2√5 - 3

Step-by-step explanation:

\($$Simplify the following:$\sqrt{29-12 \sqrt{5}}$$$\begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned}$$Cancel exponents. $\sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3$ :\\Answer:$$2 \sqrt{5}-3$$\)

Given data:

The first equation is y=4x.

The second equation is 8x+y=18.

Substitute first equation into second equation.

Substitute 3/2 for x in the first equation.

Thus, the value of x is 3/2, and the value of y is 6.

Answer:

\(\int\limits^0_{-3}(1+\sqrt{9-x^{2}})\, dx=3+\frac{9\pi}{4}=10.068\)

Step-by-step explanation:

We need to evaluate the following integral by interpreting it in terms of areas :

\(\int\limits^0_{-3}(1+\sqrt{9-x^{2}})\, dx\)

The first step is to separate the integral into two easier integrals

\(\int\limits^0_{-3}(1+\sqrt{9-x^{2}})\, dx=\int\limits^0_{-3} 1 \, dx+\int\limits^0_{-3}\sqrt{9-x^{2}}\, dx\)    (Integral of the sum)

Now we can calculate each integral by studying the area below each function.

For the first integral the function is \(f(x)=1\)

(I will attach a file with the functions)

The area below this function is the area of a rectangle with sides 1 and 3 ⇒

\(\int\limits^0_{-3}1 \, dx=3\)

For the second integral the function is

\(f(x)=y=\sqrt{9-x^{2}}\)

If we study this function :

\(y=\sqrt{9-x^{2}}\)

\(y^{2}=9-x^{2}\) (I)

\(x^{2}+y^{2}=9\)

Which is the equation of a circle centered at (0,0) with radius equal to 3

From the equation (I)

\(y^{2}=9-x^{2}\)

\(|y|=\sqrt{9-x^{2} }\)

The two possible solutions are :

\(y=\sqrt{9-x^{2}}\) (II) and \(y=-\sqrt{9-x^{2}}\)

We will use (II) to solve the integral (which is the upper part of the circle)

The area of a circle with radius equal to 3 is

\(\pi.3^{2}\)

In the integral we only need a quarter of circle ⇒ We divide the total area by 4 ⇒ \(\frac{\pi.3^{2}}{4}\) ⇒ \(\frac{9\pi }{4}\)

Finally the integral is equal to

\(\int\limits^0_{-3}(1+\sqrt{9-x^{2}})\, dx=3+\frac{9\pi}{4}=10.068\)

9514 1404 393

Answer:

Step-by-step explanation:

The given inequality is in vertex form:

  y = a(x -h)^2 +k . . . . . . has vertex (h, k)

so the vertex can be read from the given expression.

  y > (x +2)^2 -1   ⇒   (h, k) = (-2, -1) . . . the vertex

The leading coefficient (+1) is positive so the parabola opens upward.

__

The y > ( ) tells you the boundary line is dashed (is not part of the solution). It also tells you the shading is above the curve, hence inside the parabola.

The two offered points (0, 0), (2, -3) are NOT part of the solution set.

Answer: Number of games lost = 23 and Number of games won = 59.

Step-by-step explanation:

Let x = Number of games lost, y = Number of games won.

y = 13 + 2x    (i)

x+ y = 82    (ii)

Substitute value of y from (i) in (ii) , we get

x+ 13 + 2x  = 82

⇒ 3x= 82-13

⇒ 3x = 69

⇒  x= 23      [Divide both sides by 3]

Put value of x in (i), y= 13+2(23) = 13+46=59

Hence, Number of games lost = 23 and Number of games won = 59.

The expressions for the total costs are 2L + 0.7L  and 2.7L

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

Number of litres = 3

Regular price = L

Discount = 30%

This means that there is a discount on the third item

So, we have the following expression

Total amount = 2 * L + L * (1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Total amount = 2 * L + L * (1 - 30%)

Total amount = 2 * L + L * 0.7

This gives

Total amount = 2L + 0.7L

Evaluate the sum

Total amount = 2.7L

Hence, the expression is 2.7L

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The expression for the total cost of 3 liters of shampoo is written as

Let L be the regular price of a liter bottle

The expression is written in decimal and in fraction

For the promotion buy 2 liters get 30% of 3rd liter

30% off = 0.3 off

= (1 - 0.3)

= 0.7

The total cost will be

= 2 * L + 0.7 * L

= 2L + 0.7L

= 2.7 L

The cost of three bottles of shampoo is 2.7L

In another way

= 2L + (1 - 0.3)L

= 2L + 0.7L

using fractions

= 2L + 7L/10

= 27L/10

the other way is writing in fraction

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The measure of the angle m∠1 for triangle formed by the tangent line BP is equal to 147°

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

we observe a right triangle ABP with a radius perpendicular to the line BP tangent to the circle, with the hypotenuse AK. Hence we can solve for the angle m∠1 as follows:

m∠1 + m∠APB = 180° {sum of interior angles of a triangle}

m∠1 + 33° = 180°

m∠1 = 180° - 33° {collect like terms}

m∠1 = 147°

Therefore, the measure of the angle m∠1 for triangle formed by the tangent line BP is equal to 147°

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Answer:

The first term of the sequence is:

Step-by-step explanation:

Given the sequence

aₙ = (-1)ⁿ · 3n²

substituting n = 1 to determine the first term

a₁ = (-1)¹ · 3(1)²

a₁ = (-1)¹ · 3(1)²

Applying the exponent rule: \(a^1=a\)

a₁ = -1 · 3(1)

a₁ = -1 · 3

a₁ = -3

substituting n = 2 to determine the 2nd term

a₂ = (-1)² · 3(2)²

a₂ = 1 · 3(4)

a₂ = 12

substituting n = 3 to determine the 3rd term

a₃ = (-1)³ · 3(3)²

a₃ = -1 · 3(9)

a₃ = -1 · 27

a₃ = -27

substituting n = 4 to determine the 4th term

a₄ =  (-1)⁴ · 3(4)²

a₄ = 1 · 3(16)

a₄ = 1 · 48

a₄ = 48

Therefore, the first term of the sequence is:

The length of the Altitude drawn is; 6 cm

We are told that the altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments of lengths 3 centimeters and 12 centimeters.

This means that the altitude splits the right-angled triangle into two smaller right-angled triangles which are similar.

Thus, from ratio of similar triangles, we can say that;

12/x = x/3

cross multiply to get;

x² = 36

x = √36

x = 6 cm

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Answer:

2.36 miles

Step-by-step explanation:

subtraxt them from each other