which of the following equations is an example of direct variation?

Answer:

80cm^2

Step-by-step explanation:

20*5=100

10*2=20

100-20=80

Answer:

Definition of Congruent angles.

Step-by-step explanation:

Given

See attachment

Required

Complete the proof at step 8

At step 8, we have:

[tex]\angle ABC \cong \angle ABD[/tex]

When the sign [tex]\cong[/tex] is used, it means congruence

In other words;

ABC and ABD are congruent

Hence, the missing statement at step 8 is: Definition of Congruent angles.

Answer:

ABC and ABD are congruent

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-5u}[/tex]

[tex]\huge\textsf{= -5(-4)}[/tex]

[tex]\huge\textsf{= 5(4)}[/tex]

[tex]\huge\textsf{= 20}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Amount of investment after 10 year = $432.76 (Approx.)

Step-by-step explanation:

Given;

Amount of investment = $220

Annual rate = 7% = 0.07

Number of year = 10 years

Find:

Amount of investment after 10 year

Computation:

A = P[1+r]ⁿ

Amount of investment after 10 year = 220[1+0.07]¹⁰

Amount of investment after 10 year = 220[1.07]¹⁰

Amount of investment after 10 year = 220[1.9671]

Amount of investment after 10 year = 432.762

Amount of investment after 10 year = $432.76 (Approx.)

Answer:

6 cm

Step-by-step explanation:

6 cm×6cm×6cm=216 cm³

Answer:

The bike will travel approximately 1,272 inches or 106 feet.  

Step-by-step explanation:

The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel.  The formula used to find circumference is:  C = dπ, where 'd' is the diameter and π = 3.14.  In this case C = 27 x 3.14 ≈ 84.78 inches.  Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel:  84.78 x 15 ≈ 1,272 inches.  1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12:  1272/12 = 106 feet.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

all real numbers greater than or equal to 11

Answer:

2nd and fourth one

Step-by-step explanation:

I just did it and if you look at both of them and if you look closely  they each have a negative and a positive

Answer:

The right answer is:

(a) 0.4866

(b) 10.3972

Step-by-step explanation:

Let X be the number of days,

X is [tex]exp(\lambda)[/tex],

⇒ [tex]\lambda =\frac{1}{15}[/tex]

now,

⇒ [tex]F_x(x) = P(X \leq x)[/tex]

              [tex]=1-e^{-\lambda x}[/tex]

              [tex]=1-e^{-\frac{x}{15} }[/tex]

or,

[tex]x>0[/tex]

(a)

⇒ [tex]P(X<10)=F_x(10)[/tex]

                      [tex]=1-e^{\frac{10}{15} }[/tex]

                      [tex]=1-e^{\frac{2}{3} }[/tex]

                      [tex]=0.4866[/tex]

(b)

If the medium be m, then

[tex]P(X=m) = \frac{1}{2}[/tex]

                 [tex]=2^{-1}[/tex]

⇒[tex]1-e^{-\frac{m}{15} } = \frac{1}{2}[/tex]

        [tex]e^{-\frac{m}{15} } = 2^{-1}[/tex]

             [tex]m= 15\ ln2[/tex]

                 [tex]=10.3972[/tex]  

Answer:

D

Step-by-step explanation:

(1/3)^x=27^(x+2)

3^(-x)=3^(3(x+2))

3^(-x)=3^(3x+6)

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12

Parallel lines have the same slope, but different y intercepts

In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept

2 is in the place of where the slope would be, so the slope of that line is 2

That means the slope of the line parallel to it would also have a slope of 2

Here is the equation of the parallel line so far:

y=2x+b

We need to find b, the y intercept

Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet

We're given that the new line has the same x intercept as 3x-4y=12

The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0

Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept

3x-4(0)=12

Multiply

3x=12

Divide both sides by 3

x=4

So the value of the x intercept is 4. As a point, it's (4,0)

So now substitute the values of the point (4,0) into y=2x+b to find b

0=2(4)+b

Multiply

0=8+b

Subtract 8 from both sides

-8=b

Substitute -8 as b into the equation

y=2x-8

Hope this helps!  

Answer:

C. 8296

Step-by-step explanation:

Answer:

c.8295

Step-by-step explanation:

8544-12 = 8532

8532-237 =8295

Answer:

i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3

Step-by-step explanation:

Answer:

Rhombus, Square, Parallelogram :)

Step-by-step explanation:

I just did this question and I got the three answers above right. I hope this helps!

Answer:

49/1

Step-by-step explanation:

The point is on (1,49)

Answer:

Stratified sampling

Step-by-step explanation:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Divided by groups(according to age)

A certain amount of each group is sampled.

Thus, stratified sampling is used.

Step-by-step explanation:

time = 2 hours

distance travelled(d) = 124 miles

so

speed = d/t

=  124/2

= 62 miles per hour

Therefore, the speed of car is 62 miles per hour.

area: 40p² + 24p

wide: 8p

(40p² + 24p)/ 8p

5p + 3

so, length: 5p + 3 -> (a)

perimeter = wide x 2 + length x 2

16p + (10p + 6)

26p + 6 -> (b)

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

0,3 is the y-intercept (wich is always at x=0)

see screenshot for illustration.

you meant y-intercept, right?

Answer:

24.44%

Step-by-step explanation:

initial value :45

final value:56

change in value= 56-45=11

percentage change= 11

[tex] \frac{11}{45} \times \frac{100}{1} [/tex]

[tex] \frac{1100}{45} [/tex]

=24.44%

Answer:

24.44%

Step-by-step explanation:

Çhange =56-45

=11

Percentage change =change/previous change ×100%

Percentage change=11/45 ×100%

=0.2444444×100%

=24.4444%

Answer:

you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3

Answer:

Step-by-step explanation:

Total people:

Probabilities of men:

Required probability is:

Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

Answer:

x-15

y 42

Step-by-step explanation:

Answer: 12 Basil leaves

Step-by-step explanation:

Given

Monica uses 3 basil leaves for every 8 tomatoes

For 32 tomatoes she needs

[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]

Thus, she needs 12 basil leaves.

Answer:

39.401

Step-by-step explanation:

Answer:

y < 5/2x + 5

Step-by-step explanation:

slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)

y intercept is +5

Answer:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2