You are asked to choose your favourite season of the year, and then your second favourite season. Draw a tree diagram to display the number of different possible outcomes.

Answer:

[tex]m=-18[/tex]

Step-by-step explanation:

1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

2. When you substitute values into the formula, you obtain:

[tex]y_{2}=48\\y_{1}=12\\x_{2}=32\\x_{1}=34[/tex]

[tex]m=\frac{48-12}{32-34}\\m=\frac{36}{-2}\\m=-18[/tex]

The volume of a cuboid is given in terms of length, width, and height by ...

... V = LWH

Filling in the given numbers, we can solve for the height.

... 8100 in³ = (30 in)(15 in)H

Dividing by the coefficient of H, we have ...

... (8100 in³)/(450 in²) = H = 18 in

The chest will be 18 inches tall.

The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...

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

Putting your given numbers into the formula, we have

... 876.34 = 300(1 +.06/4)^(4t)

Taking logarithms, this becomes the linear equation

... log(876.34) = log(300) + 4t·log(1.015)

Solving for t in the usual way, we get

... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right

... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t

It will take 18 years for the $300 CD to reach a value of $876.34.

K=0

brainiest plz eeeeeeeeeeeeeeeeeee

You just need to use your test-taking skill to eliminate the wrong answers here.

There is no such thing as a "Congruent Angles Postulate," so the last two choices can be eliminated.

The AA Similarity Postulate refers to triangles, not angles, so the second choice can be eliminated.

That only leaves the (correct) first choice.

(7)

if r perpendicular to s then angles 1,2,3,4=90 deg.

if t perpendicular to s then angles 5,6,7,8=90 deg.

If two different lines intersect a third line at the same angle then they must be parallel.

r and t intersect s at the angle 2=90 deg  and 6 = 90 deg, therefore r and t are parallel.

(6) use sum of angles in a triange =180 deg property.

first, the complement to 105 is an angle of 75 deg. then x=180-(24+75)=81 deg

x=81 deg

(5)

[tex]\angle STU=180-\angle STR=180- \angle SRT   \\\\\4x = 180-20=160\\\\x=40[/tex]

(4) sum of angles = 180 deg

62 +45 + k = 180

k = 180 -107  = 73

k = 73

Hello,

Question:

Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)

Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

Correct Solution:

x − 2x + 8 = 6(x + 4)

4x + −2x + 8 = (6) (x) + (6) (4) (Distribute)

4x + −2x + 8 = 6x + 24

(4x + −2x) + (8) = 6x + 24 (Combine Like Terms)

2x + 8 = 6x + 24

2x + 8 = 6x + 24

Subtract 6x from both sides.

2x + 8 − 6x = 6x + 24 − 6x

−4x + 8 = 24

Subtract 8 from both sides.

−4x + 8 − 8 = 24 − 8

−4x = 16

-4 x -4 = 16

x = -4

Answer:

Where keisha went wrong was forgeting to subtract 6x to both sides.

Incorrrect step is #3

The solution to the equation is correct.

on the line - 4x + 8 = 24 to the next line

- 4x = 16

4 should be Subtraction property of equality and not addition property of equality

(2k, k) and (3k, 4k)

Slope = (4k  - k )/(3k - 2k)

= 3k / k

= 3

Answer :

3

slope = 3

to calculate the slope (m ) use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2k, k) and (x₂, y₂ ) = (3k, 4k )

m = [tex]\frac{4k-k}{3k-2k}[/tex] = [tex]\frac{3k}{k}[/tex] = 3

:) Here is your answer -7

Answer:

the answer is -7

Step-by-step explanation:

thxs person who answered before me :)

9g = 3(5g - 4)

3g = 5g - 4

3g - 5g = -4

-2g = -4

g = -4/-2 = 4/2

Answer: g = 2

Let's solve your equation step-by-step.

9g=3(−4+5g)

Step 1: Simplify both sides of the equation.

9g=3(−4+5g)

9g=(3)(−4)+(3)(5g)(Distribute)

9g=−12+15g

9g=15g−12

Step 2: Subtract 15g from both sides.

9g−15g=15g−12−15g

−6g=−12

Step 3: Divide both sides by -6.

−6g /-6=-12/-6

g=2

Answer:

g=2

Hello there,

So you have two fractions 2/5 and 1/4, but none of them have the same denominator... However a LCD that you can get from both of these is 20, so if you multiplied 4 on the top and the bottom for 2/5, you would get 8/20, and for 1/4, multiply 5 on the top and the bottom, and soon you end up with 5/20. If you added these two fractions together, now knowing that they have the same denominator... you would end up with 13/20 which is the answer to your problem.

Hope this was helpful for you :)

Answer:

[tex]m\angle c = 30^\circ[/tex]            

Step-by-step explanation:

We are given the following information in the question:

ΔABC and ΔDEF

[tex]\angle A \cong \angle D\\\angle B \cong \angle E\\m\angle c = x \\m\angle F = 2x-30[/tex]

According to angle sum property of the triangle the sum of all angles of triangle is equal to 180 degrees.

Since two corresponding angles of the two triangle are equal, therefore the third angle is also equal.

[tex]x = 2x - 30\\\Rightarrow x = 30[/tex]

Thus,

[tex]m\angle c = 30^\circ[/tex]

The measure of the angle from the given information is m∠C = 2x - 30°

Given the information, we have two separate triangles: ABC and DEF.

In triangle ABC, we are given that ∠A ≅ ∠D and ∠B ≅ ∠E.

In triangle DEF, we are given that m∠C = x and m∠F = 2x - 30°.

To find m∠C, we need to find the value of x.

Since ∠A ≅ ∠D, and ∠B ≅ ∠E, we can conclude that triangle ABC is congruent to triangle DEF by the Angle-Angle (AA) congruence criterion.

Using this congruence, we can determine that m∠C = m∠F.

Therefore, we have:

m∠C = m∠F

Since we know that m∠F = 2x - 30°, we can substitute this value into the equation:

m∠C = 2x - 30°

This gives us the measure of angle C in terms of x.

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Answer:

The correct answer is option A.

Step-by-step explanation:

For the given triangles to be similar the segment AD must be an altitude of ΔABC.

We can provide a theorem for the same:

If we draw an altitude from the right angle of any right triangle, then the two triangles formed are similar to the original triangle.

Also all the three triangles are similar to each other.

Like here, in the triangle ABC, we draw an altitude from A to the side BC, thus forming 2 triangles; ΔDBA and ΔDAC. These both will be similar to ΔABC.

So, by the theorem it is proven that  ΔABC is similar to ΔDBA.

Therefore, option A is correct.

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

slope = [tex]\frac{k-(-5)}{6-3}=\frac{k+5)}{3}[/tex]

We know slope =4

 [tex]\frac{k+5)}{3}=4[/tex]

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

Put 2 where x is:

h(2) = g(2+2) -1 = g(4) -1

_____

Put -2 where x is:

h(-2) = g(-2+2) -1 = g(0) -1

cos(a-b) = cos(a)cos(b)+sin(a)sin(b)

If she puts 2 slices in 4 sandwiches, the answer would be 8.

(4 x 2)= 8.

Hope this helps & good luck. :)

if she has 4 sandwhiches and 2 slices of chesse on each you can multiply

4*2=8

The number when the quotient of 5 times a number and 7 is equal to 10 will be 15. The correct option is D.

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

It is given that the quotient of 5 times a number and 7 is equal to 10. The number will be calculated as below:-

15 divided by 5 is 3 and 3+7 is equal to 10.

Therefore, the number when the quotient of 5 times a number and 7 is equal to 10 will be 15. The correct option is D.

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Answer:

B. 0.075 in

Evan apparently divided by time. He might do that if he were not paying attention to units.

Step-by-step explanation:

The given rainfall rate is ...

... (1.5 in)/(60 s) = (1/40) in/s = 0.025 in/s

To find the rainfall in 3 s, you need to multiply rate by time:

... (0.025 in/s)×(3 s) = 0.075 in

If you keep the rate and time in terms of minutes, then you have:

... (1.5 in/min)×(0.05 min) = 0.075 in

_____

Evan apparently divided, instead. His number is not inches.

... (1.5 in/min)/(0.05 min) = 30 in/min² . . . . not the appropriate units for the problem

The correct amount of rain that fell in 3 seconds at Brasse Terre, Guadalupe, is 0.075 inches, as calculated by multiplying the rate of 1.5 inches per minute by 0.05 minutes. Evan made an error leading to answer D, which is incorrect.

In 1970, a record 1.5 inches of rain fell in one minute. To find out how much rain fell in 3 seconds, which is 0.05 of a minute, we need to multiply the rate of rainfall by the fraction of the minute we are interested in. The calculation is as follows:

1.5 inches/minute x 0.05 minute = 0.075 inches

Evan seems to have misunderstood the calculation, leading to answer D, but the correct amount of rain that fell in 3 seconds is 0.075 inches, which corresponds to option B.

Answer:

x = -2

Step-by-step explanation:

3x -8 =8x +4/2

3x -8 =8x +2

3x -3x -8 = 8x -3x +2 (subtract 3x both sides )

-8 = 5x +2

-8-2 =5x+2 -2  (subtract 2 both sides )

-10 =5x

-10/5 = 5x/5 (divide 5 both sides)

-2 = x

5.13 is larger. Because it is closer to a whole number. That’s what I believe it is at least. Forgive me if I am wrong

The function f(x) describes a parabola that opens downward. The only graph with that shape is the 2nd one.

_____

The degree of 2 on the x² term means there will be only 1 turning point (1 less than the degree). The bottom two choices have more turning points than that.

The minus sign on the coefficient of x² means the graph opens downward—that it tends toward -∞ when x gets very large in magnitude, either positive or negative.

Answer:

B) f(x) = -3/5x +5

Step-by-step explanation:

There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.

The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.

The slope, the change in y divided by the change in x for two points, is ...

... (-1 -2)/(10 -5) = -3/5

This is the slope and the coefficient of x in the linear equation.

Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:

... y = mx + b

... y = (-3/5)x + 5

C

the area (A ) of the trim is the area of the window frame subtract the area of glass

area of window frame = (5x + 3)(x + 6) = 5x² + 33x + 18

A = 5x² + 33x + 18 - (4x² + 26x + 15)

   = 5x^2 + 33x + 18 - 4x² - 26x - 15 = x² +7x + 3 inches²

9.36 is 0.001 more than 9.359

Both numbers round to the same value.

9.359 has greater precision.

Answer:

8 years

Step-by-step explanation:

The formula for the computation of simple interest is ...

... I = Prt

where I is the interest amount, P is the principal amount, r is the rate, and t is the number of years.

Fill in the given numbers and solve for t.

... 5704 = 15500×0.046×t

... 5704/713 = t = 8 . . . . . . divide by the coefficient of t

It takes 8 years to earn $5704 on that investment at 4.6% per year.

The prime factorization is ...

... 2²×3×7×11

Single-digit prime factors are ... 2, 3, 7

Single-digit divisors are ... 1, 2, 3, 4, 6, 7

You found CD from the Pythagorean theorem to be ...

... CD = √(5² -2²) = √21

Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:

... AC/AD = AB/AC

... AB = AC²/AD

... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle

_____

Then the area (A) is ...

... A = (1/2)bh

... A = (1/2)(12.5)(√21) ≈ 28.64 square units

_____

As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...

... ADC ~ CDB ~ ACB

You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.

the x-intercepts of cosx are

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex] on [0, 2π )

The x-intercepts of the function f(x) = cos(x) on [0, 2π) are π/2 and 3π/2.

The x-intercepts of the function f(x) = cos(x) on the interval [0, 2π) can be found by setting f(x) equal to zero and solving for x.

cos(x) = 0

To find the values of x for which cos(x) equals zero, we need to determine when the cosine function equals zero on the given interval. The cosine function equals zero at every multiple of π/2. Therefore, the x-intercepts of f(x) are π/2 and 3π/2.

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