What is the solution to the system of linear equations?

(–3, 0)
(–3, 3)
(0, 2)
(3, 1)

Answer:

a

Step-by-step explanation:

I think its A sorry if u get it wrong

Answer:

210

Step-by-step explanation:

In a normal distribtuion mean=mode=median

so 210=median

Each avocado costs 4.98/6, which is .83. 83 cents for one avocado!

This has brightened my day.

Answe0.83 avacodose

Step-by-step explanation:

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer:

$1350.68 to nearest cent.

Step-by-step explanation:

At the beginning $500 is deposited and this accumulates interest for 3 years At the end of first year it increases to 500( 1 + r) dollars

Then at the end of the 2 years its value is

500(1+ r)(1 + r)(

and at the end of 3 years value =

500(1 + r)(1 + r)(1 + r)

= 500(1 + r)^3 dollars

and as 1 + r = x we have:

500x^3 dollars

In the same way 200 for 2 years = 200x^2

and 600 for 1 year = 600x dollars.

Total = 500x^3 + 200x^2 + 600x.

b.

So, if the interest r = 2 % (= 0.02)

and x = 1.02

Total value after 3 years

= 500(1.02)^3 + 200(1.02)^2 + 600(1.02)

= 530.604 + 208.08 + 612

= $1350.684

Answer:

it's c the slop is 3 your welcome

Answer:

69 pennies

Step-by-step explanation:

Below is the given data:

Pennies at the starting of February = 34

Pennies in 1st week of February = 13

Pennies in 2nd week of February = 9

Pennies in 3rd week of February = 6

Pennies in 4th week of February = 7

To find the number of pennies at the end of February just add all the pennies.

At the end of February, the number of pennies = 34 + 13 + 9 + 7 +6 = 69 pennies

The angle the pole makes with the tent is 39.7°.

Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.

Let θ represent the angle the pole makes with the tent.

Using trigonometric ratios:

Therefore, the angle the pole makes with the tent is 39.7°.

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Answer:

x = 14

Step-by-step explanation:

given Δ MNO and Δ QRS are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{NO}{RS}\) = \(\frac{MN}{QR}\) ( substitute values )

\(\frac{x}{7}\) = \(\frac{10}{5}\) = 2 ( multiply both sides by 7 to clear the fraction )

x = 7 × 2 = 14

Answer:

x = 158

Step-by-step explanation:

Given

885 = 5(x + 19) ← divide both sides by 5

177 = x + 19 ( subtract 19 from both sides )

158 = x

Answer: x=158

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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Answer

its the last one

Step-by-step explanation:

mr barnes has aa higher lilac to rose ratio

I hope you help :)

Answer:

Mr Yen: 7:3

Mrs Barnes: 9:4

Therefore, Mrs Barnes has a higher lilac to rose ratio.

Step-by-step explanation:

The equation does not have solution is 13−4x+2=3x−7x+2

An equation is a statement that equals two algebraic expressions with 'equal to' symbol (=).

consider the given equations,

10−3x−1=7+3x+2, x=0 is the solution for this equation.

12−7x−10=x−8x+2, all real values makes this equation true, so the solution is (-∞,∞)

13−4x+2=3x−7x+2 has no solution.

15−2x−2=10x+3x+2 , has solution \(x=\frac{11}{15}\).

Hence, equation with no solution is 13−4x+2=3x−7x+2.

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Answer:

5/16=x/64

Step-by-step explanation:

the x is 1280 that is the answer

Answer:

20 even though its not an answer option?

Step-by-step explanation:

It should be since 16x4=64   5x4=20

Special Product are the result of binomials being multiplied, or simplified further, and can be solved with ease using the First Last Inner Outer method. this product is not a special product.

Special Product (a+b) (a+b) = aa + ab + ab + bb = \(a^{2} + 2ab + b^{2}\).

we can use this formula anytime we are multiplying a binomial of the form a + b.

Factor as a Difference of Squares

factoring:  \(81a^{2} b^{4} - c^{6}\) = \((3^{4}a^{2} . b^{4}) - c^{6}\)

A difference of two perfect squares, \(A^{2} - B^{2}\) can be factored into

\((A+B)(A-B)\\A^{2} - AB + BA - B^{2}\\ A^{2} - AB + AB -B^{2}\\ A^{2} -B^{2}\)

AB = BA is he commutative property of multiplication from the expression.

-AB+BA equal zero and is therefore eliminated from the expression.

81 is the square of 9

\(a^{2}\) is the square of \(a^{1}\)

\(b^{4}\) is the square of \(b^{2}\)

\(c^{6}\) is the square of \(c^{3}\)

Factorization is \((9ab^{2}+c^{3}) . (9ab^{2}-c^{3} )\)

Factoring: \((9ab^{2}+c^{3})\)

A sum of perfect cubes, \(a^{3} + b^{3}\) can be factored into :\((a+b).(a^{2}-ab+b^{2})\\a^{3}-a^{2}b+ab^{2}-b^{2}a+b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)+b^{3}\\ a^{3}+b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Factoring: \((9ab^{2}-c^{3} )\)

A difference of two perfect cubes, \(a^{3} - b^{3}\) can be factored into

\((a-b).(a^{2}+ab+b^{2})\\a^{3}+a^{2}b+ab^{2}-ba^{2}-b^{2}a-b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)-b^{3}\\ a^{3}-b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Hence, 81a2b4 - c6 this solution deals with factoring binomials as the sum or difference of cubes.

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Answer:

ok thx

Step-by-step explanation:

The correlation will not be −0.44 based solely on the slope of the regression line. (option c).

Let X and Y be the vectors of standardized values of X and Y, respectively, for all the subjects. Then, the least-squares regression line can be written as:

Y = βX

where β is the slope of the regression line. To find the intercept, we need to solve for the value of Y when X = 0:

Y = β(0) = 0

This means that the intercept of the regression line in the standardized coordinate system is 0. To find the intercept in the original coordinate system, we need to transform this point back using the formula for standardization:

Y = σY(Y) + μY

where σY is the standard deviation of Y and μY is the mean of Y. Since y = 0, we have:

Y = σY(0) + μY = μY

So, the intercept of the regression line in the original coordinate system is equal to the mean of Y. Therefore, we cannot conclude that the intercept will be −0.44 or 1.0.

Hence the correct option is (c).

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Complete Question

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least-squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

a. The intercept will also be −0.44.

b. The intercept will be 1.0.

c. The correlation will not be 1/−0.44.

A pyramid has an isosceles triangle base with sides of 25,25 and 48 units.

This tells us that our base's height is equal to two-thirds of its side because it is a square base.

Therefore, a pyramid has an isosceles triangle base with sides of 25,25, and 48 units.

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We find the slope(m) by replacing the values in the following expression:

That is:

So, the slope equals -7/3.

The flux of f across the surface s is 0.

To find the flux of f across the surface s, we can use the formula for flux:
flux = ∬(f · dS)
where f is the vector field, dS is the differential surface area vector, and the double integral is taken over the surface s.

In this case, f = j, which means the vector field is constant in the z-direction with a magnitude of 1. Therefore, the flux simplifies to:
flux = ∬(j · dS)

Now, let's calculate the flux step-by-step:
1. First, we need to parametrize the surface s. Since s is the part of the plane z=1 x y inside the cylinder x^2 + y^2 = 1, we can parametrize it as:
r(u, v) = (u, v, 1), where -1 ≤ u, v ≤ 1

2. Next, we need to find the differential surface area vector dS. Since s is a plane, the differential surface area vector is simply the cross product of the partial derivatives of r with respect to u and v:
dS = (∂r/∂u) × (∂r/∂v)

Calculating the cross product, we get:
dS = (1, 0, 0) × (0, 1, 0) = (0, 0, 1)

3. Now, let's evaluate the double integral ∬(j · dS) over the surface s. Since the magnitude of j is 1 and the dot product of j and dS is always 0, the flux is always 0.

Therefore, Flux of f across the surface s is 0.

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Answer:

B

Step-by-step explanation:

The solution to this problem is the p-value must be higher than 0.05.

A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here ,

In this given problem we can see confidence interval has 0 in it.

So,

Since the confidence interval comprises 0, the null hypothesis should be rejected.

When the p-value exceeds the level of significance, the null hypothesis is only rejected.

Since alpha=0.05 in this case, the p-value must be higher than 0.05.

Thus, the p-value must be higher than 0.05.

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Answer:

i hope my answer help you:))

Step-by-step explanation:

{1st question}

b=3b-18=12

=3b=12+18

=3b=30 ( divided by 3)

then b=10

{2nd question}

d = -42-7d=49

=-7d=49+42

=-7d=91 ( divided by -7)

then d= -13

Answer:

6.5 cm is the answer

What an odd measurement

Answer:

6.5cm

Step-by-step explanation:

pythagoras theorem

h² = o² + a²

11.1² = o² + 9²

123.21 = o² + 81

123.21 - 81 = o²

42.21 = o²

o = 6.5cm

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

The only point that satisfies both equations simultaneously is (3, 0).

Step-by-step explanation:

To determine which point is a solution to the given system of linear equations, we need to substitute the coordinates of each point into the equations and see which point(s) satisfy both equations simultaneously.

Given system of linear equations:

y = −x + 3

x − 3y = 3

Substituting the coordinates of each point, we get:

(0, 3):

y = −x + 3 => 3 = -0 + 3 => 3 = 3 (satisfied)

x − 3y = 3 => 0 - 9 = 3 => -9 ≠ 3 (not satisfied)

(1, 2):

y = −x + 3 => 2 = -1 + 3 => 2 = 2 (satisfied)

x − 3y = 3 => 1 - 6 = 3 => -5 ≠ 3 (not satisfied)

(3, 0):

y = −x + 3 => 0 = -3 + 3 => 0 = 0 (satisfied)

x − 3y = 3 => 3 - 0 = 3 => 3 = 3 (satisfied)

(4, −1):

y = −x + 3 => -1 = -4 + 3 => -1 = -1 (satisfied)

x − 3y = 3 => 4 - (-3) = 3 => 7 ≠ 3 (not satisfied)

Therefore, the only point that satisfies both equations simultaneously is (3, 0).