1. Each year, the third Thursday in March is named Kangaroo Day. The dates of Kangaroo Day for the next few
years are shown below, with one error. Which date is wrong?
(A)17/3/2022
(B) 16/3/2023
(C) 14/3/2024
(D) 20/3/2025
(E) 19/3/2026

Answer:

slope in parallel = 2

slope in perpendicular = [tex]\sf \bold{-\frac{1}{2} }[/tex]

y intercept = (0, 2)

Rewrite in slope intercept form:

slope intercept form: y = mx + b  || where "m" is slope and "b" is y-intercept

y-intercept:  2  --- as "b" is [+2] then x will be always 0 at y-intercept

slope is same when parallel

perpendicular slope is negative reciprocal of the parallel slope

Convert to slope intercept form

Slope:-

Parallel lines have equal slope

Slope of the perpendicular line=-1/2

Step-by-step explanation:

draw a number line and plot on 7 and make an arrow at the other end of the line

The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is as below,

3wx + 3wy - 4zx - 4zy

In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,

3wx + 3wy - 4zx - 4zy

Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.

The factor form for  (3wx + 3wy) is 3w(x + y).

And, for (- 4zx - 4zy) it is -4z(x + y).

Thus, the given expression can be written as,

3wx + 3wy - 4zx - 4zy

= 3w(x + y) - 4z(x + y)

Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).

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Answer:

First find the inner angle:

[ given hypotenuse = 500 ft ]

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]

[tex]\hookrightarrow \sf x=sin(61)*500[/tex]

[tex]\hookrightarrow \sf x=437.3[/tex]

using pythagoras theorem:

Answer:

y = 242.4 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°

Using the sine trig ratio:

[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substitute given values and solve for y:

[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]

[tex]\sf \implies y=500sin(29)[/tex]

[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]

Answer:

[tex]u^{2n+1}[/tex]

Step-by-step explanation:

Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].

Answer:

[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]

Step-by-step explanation:

This equation can be solved simply by multiplying by the variable to isolate them on one side.

[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]

[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]

Solve.

[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]

Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].

Answer:

A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 144

b = 12

Answer: 12

Answer:

12

Step-by-step explanation:

Using the Pythagorean theorem, we can use [tex]c^{2}-a^{2}[/tex] to find b. 169-25 equals 144. [tex]\sqrt{144}[/tex] equzls 12.

Answer:

A = C = 115°

B = 65°

D = E = 45°

Step-by-step explanation:

65° + C = 180° or 65° + A = 180°, They are supplementary angles that are linear pair that add up to 180°.

A = C = 115°

B° = 65° Vertical Angles meaning they are equal to each other.

D and E are equal to cheat other since the lines on the sides mean that are isosceles.

D + E + 90° = 180°

D + E = 90°

2x = 90

x = 45°

D = E = 45°

Answer:

OC is correct

Step-by-step explanation:

The greater answer is always gonna be the closest one to zero on the number line.

Hopefully this helps!

Answer:

answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder

Step-by-step explanation:

answer is 436 I hope it helps

Answer:

I believe that the answer is 4

Answer:

x is less than or equal to 272

Step-by-step explanation:

you can spend 272 but you can't go over 272.

Answer:

we know the trapezoids are similar, so that means all sides are at a ratio, thus

that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.

so for the large trapezoid

EF = 6 * 12 =... 72

EH = 4 * 12 =.. 48

HG = 3 * 12 = ..36

GF = 3 * 12 =...36

72+48+36+36 = 192.

Step-by-step explanation:

Answer:

Try the a2 +b2=c2

Step-by-step explanation:

Try putting attention next time

Answer:

  3

Step-by-step explanation:

A polynomial is sometimes easier to evaluate if it is first written in Horner form:

  -2x^2 -4x +3 = (-2x -4)x +3

For x = -2, this is ...

  (-2(-2) -4)(-2) +3 = 0(-2) +3 = 3

The value is 3 when x = -2.

Answer:

[tex]\frac{16}{225}[/tex]

Step-by-step explanation:

When attempting probability problems we want to figure out the chances of something happening. This turns into something like:

[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]

In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.

Since we want to first draw a red marble the chance of that happening would be:

[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.

[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]

All that's left is to multipy the values we got:

[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]

That's our answer.

Answer:

91

Step-by-step explanation:

If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.

The freight train was traveling at 40 mph.

Let's use the formula for distance:

distance = rate x time

We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:

distance = distance traveled by passenger train + distance traveled by freight train

Since they started at the same time, the time traveled by both trains is the same, so we can write:

distance = 80 mph x time + rate of freight train x time

Using the given information, we can write:

720 = 80 x 6 + rate of freight train x 6

Simplifying:

720 = 480 + 6(rate of freight train)

240 = 6(rate of freight train)

rate of freight train = 40 mph

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Answer:

115.50

Step-by-step explanation:

you times and divide the numbersto get to yy

The one possible solution can be yy = 10 and xx = 5 .

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

Julia and her children went into a restaurant where ,

hamburgers (xx)= $7 each

tacos (yy) = $2.50 each.

Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.

i.e,    xx + yy ≥ 14  ----------------------------(1)

       7xx + 2.5yy ≤ 60 ----------------------(2)

from equation (1) and (2)  graph attached ...

solving both equation

multiplying equation (1) with -7

-7xx + -7yy ≤ -98 ----------------(3)

now adding equation (3) and (2)

-7xx + -7yy ≤ -98

7xx + 2.5yy ≤ 60

=   - 4.5yy ≤ -38

=    4.5yy ≥38

=     yy ≥ 8.4

now ,

yy        xx

9         5.35

10         5

11          4.64

Hence, one possible solution can be yy = 10 and xx = 5

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Answer:

-4x - 3

Step-by-step explanation:

4x + 3 + y = 0

y is additive inverse

y = -4x - 3

-4x - 3 + 4x + 3 = 0

0 = 0

cancels out

The circumference of the smaller circle is C =  2*pi*x/3.

We have given that radius ob measures x units

circumference of the circle is given by,

[tex]C = 2\times \pi \times R[/tex]

where pi = 3.14

R= radius

we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that,The circumference of B is 3 times the circumference of A.

The radius of circle B is OB = x

The radius of circle A is OA

We want to find an expression of OA.

The circumference of circle B is given by

[tex]C(B) = 2\times \piOB = 2\times pi\times x[/tex]

The circumference of circle A  is given by

[tex]C(A) = 2\times\pi\times OA[/tex]

we know that the circumference of circle B is 3 times the circumference of circle A,

[tex]C(B) = 3\times C(A)[/tex]

replacing the equations for the circumferences

[tex]2\times\pi\times x = 3\times (2\times pi\times OA)[/tex]

We have divide both sides by [tex]2\pi[/tex]we get:

[tex]x = 3\times OA[/tex]

Now we want to solve this for OA, then we need to isolate it,

[tex]x/3 = OA[/tex]

We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is

[tex]C(A) = 2\times pi\times x/3[/tex]

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The values of angles are written below,

a° = 121°

b° = 53°

c° = 87°

d° = 72°

The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.

In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

The values of angles are calculated as,

a = (2 x 108 ) - 9 5

a = 121°

b = 360 - ( 121 + 95 + 91 )

b = 53°

c = (121 + 53 ) / 2

c = 87°

d = ( 91 + 53 ) /2

d = 72°

Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.

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Answer:

(I put the answers in bold)

To solve, add first, and then divide.

O True O False

To solve, divide first, and then add.

O True O False

There were 7 boxes of assorted muffins.

O True O False

There were 8 boxes of assorted muffins.

O True O False

This is a one-step division problem.

O True O False

Step-by-step explanation:

To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.

Answer:

30°

Step-by-step explanation:

145-115=30°

it is the answer

Answer:

30

Step-by-step explanation:

Since Angle FGH=FGJ+JGH, we can set the equation 145=115+x

[tex]145=115+x\\145-115=x\\30=x[/tex]

Answer:

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!

Answer:

Step-by-step explanation:

V = B×H ⇒ H = V ÷ B

H = 729 ÷ 108 = 6.75 inches

Answer:

h = 6.75 inches

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

here V = 729 and A = 108 , then

108h = 729 ( divide both sides by 108 )

h = 6.75 inches

Answer:

That'd be B.  The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0).  These two functions are inverses of one another, and so their graphs are reflections about the line y = x.

Step-by-step explanation: