Question 1
A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his weekly rate of eating the cake?

Answer:

3

Step-by-step explanation:

Given the function : y = x/3 + 1

If an input value, x is given as 6 ;

Output value, y can be obtained by Substituting the value x = 6 into the function and calculating the value of y

Calculation goes thus ;

y = 6/3 + 1

y = 2 + 1

y = 3

Output, y = 3

Answer:

a₇ =  2.375

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = [tex]\frac{-76}{152}[/tex] = [tex]\frac{38}{-76}[/tex] = [tex]\frac{-19}{38}[/tex] = - [tex]\frac{1}{2}[/tex]

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 152 and r = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 152 [tex](-\frac{1}{2}) ^{n-1}[/tex] , so

a₇ = 152 [tex](-\frac{1}{2}) ^{6}[/tex] = 152 × [tex]\frac{1}{64}[/tex] = 2.375

Answer:

Solution given:

first term [a]=152

second term[b]=-76

common ratio[r]=[tex] \frac{-76}{152}[/tex]=-1/2

now

for nth term ,we have

nth term =a [tex] {r}^{n -1} [/tex]

now

7th term==152[tex] {-1/2}^{7 - 1} [/tex]

=152×1/64=19/8

Given:

The figure of triangle LNM.

To find:

The Law of Sines for the given triangle.

Solution:

Law of sines: In triangle ABC,

[tex]\dfrac{\sin A^\circ}{a}=\dfrac{\sin B^\circ}{b}=\dfrac{\sin C^\circ}{c}[/tex]

Similarly, the Law of Sines for the given triangle LNM is:

[tex]\dfrac{\sin L^\circ}{l}=\dfrac{\sin N^\circ}{n}=\dfrac{\sin M^\circ}{m}[/tex]

Therefore, the correct option is b.

Answer:

9v^6r^8

Step-by-step explanation:

3v^6 · 3r^8

Answer:

7 = 24

Step-by-step explanation:

Ans :

a^6 is ur answer

Answer:

Step-by-step explanation:

m

Answer:

c) 50

Step-by-step explanation:

√36 + 2 * 5^2  - 6

√36 = 6, 5^2 = 25

6 + 2 * 25 - 6 = 25 2 * 25 = 50, 6 + 50 - 6, 50

Answer:

b = √(c² + a²)

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

Answer:

B x=60, y=60

Step-by-step explanation:

The triangle should equal 180 in total. It shows 60 already on top then you would add them all up 60+60+60=180 degrees.

Answer:

B

Step-by-step explanation:

x=60 and y=60.

Answer:

About 9-10 weeks

Step-by-step explanation:

70/7= 10

Answer:

9-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note how this drawing  is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.

Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30.  Due to the symmetry shown, line CD has the same length:  30.

Answer:

20 or 18

Step-by-step explanation:

The value of x is 10.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

From the triangle it can be assume that ΔPSR is similar to ΔPQR.

Then, the ratio of corresponding sides of triangles are proportion.

So, PQ/ PS = QR/ RS

9/15 = 6 /x

9x = 90

x= 90/9

x= 10

Thus, the value of x is 10.

Learn more about proportion here:

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Answer:

Area is 1246

Step-by-step explanation:

39 x 34 - 10 x 8

Answer:3,1

Step-by-step explanation: you first make sure you put your ordered pairs in the coordinate grid then look for what’s inside the polygon look for your accurate awnser 3,1

Answer:

D is the answer

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

Answer:

X - 1 = X + 4

2 3

X- 2 = X + 12

2 3

3(x - 2) = 2(x + 12)

3x - 6 = 2x + 24

X = 18

Answer:

32x? I'm so sorry if i'm wrong.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Angles a and b are complementary angles because they both add up to 90 degrees, which fulfills the definition of complementary.

Answer:

B, complementary

Step-by-step explanation:

I did something similar to this and got it correct- hope this was helpful!

Answer:

Third choice

Step-by-step explanation:

Add and subtract like terms:

-2xy - 6xy = -8xy

-8y - 2y = -10y

-4y^4 + y^4 = -3y^4

Combine them together, and you get:

-3y^4 - 8xy -10y

Answer:

3)

Step-by-step explanation:

1. Remove brackets

2.  add like terms (-8y and 2y)

3. copy the un-addble terms behind

Answer:

5 batches

Step-by-step explanation:

fist to find how many cupcakes you need multiply the amount of people times amount of cupcakes per person

(if rule is 5 per person)

14x5=70

then you want to find how many batches to make

70/16=4.375

but you and make 0.375 batches so just make 1 more batch

so you should tell your dad to bake 5 batches

Answer: The arc length of the clock is 31.42cm

Step-by-step explanation:

1. Use your section formula: S = r (Radius) θ (Theta: Angle in radians)

2. Convert your 180 degrees to radians by multiplying it by π / 180, resulting in π radians.

3. Take your radius of 10cms and multiply it by π, leaving 31.42cm. This is the length of the 180 degree arc.

Answer:

0.25

because sum of probabilities is always equal to 1

i.e P(sean doesn't miss the bus)+P(sean misses the bus)=1

P(sean misses the bus) = 1-0.85 =0.25

Answer:

I think the answer is 5.75 miles.

Step-by-step explanation:

If the drone flies 2,530 ft in 5 seconds, that means that in one minute it flies 30,360 ft. And 30,360 divided by 5,280 is 5.75.

There are 5.74 miles does the drone fly in a minute.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Ashley flies a drone 2,530 ft in 5 s.

Now,

Since, Ashley flies a drone 2,530 ft in 5 s.

We know that;

1 minute = 60 seconds

Hence, Number of miles in 1 minutes = 2530/5 × 60

                                                          = 30,360 ft

Since, We know that;

1 ft = 0.000189 miles

Hence, we get;

⇒ 30360 × 0.000189

⇒ 5.74 miles

Learn more about the multiplication visit:

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Answer:

c = 2, d = - 3

Step-by-step explanation:

Expand and simplify the left side then compare the coefficients of like terms on both sides.

5(2x + 1) + c(x + d) ← distribute parenthesis

10x + 5 + cx + cd

= x(10 + c) + 5 + cd

Compare like terms on both sides, that is

10 + c = 12 ( subtract 10 from both sides )

c = 2

Then

5 + cd = 5 + 2d and

5 + 2d = - 1 ( subtract 5 from both sides )

2d = - 6 ( divide both sides by 2 )

d = - 3

this equation is unanswerable, there is no way to find x.

Step-by-step explanation:

Answer:

Review your notes, make flashcards, go back to your textbook and solve problems you haven't solved. Just keep doing practice problems