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Answer:

The series is given as follows;

[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]

Step-by-step explanation:

Assuming the series is an arithmetic progression, (AP), series, we have

The nth term of the desired series = a + (n - 1)×d

Where;

a = The first term

n = The position of the term in the series

d = The common difference

Given that the 5th term = 22/16 and the 4th term = -4, we have;

d = The difference between consecutive terms = Difference between the 5th term and the 4th term

∴ d = 22/16 - (-4) = 43/8 = 5.375

22/16 = a + (5 - 1)×5.375

∴ a = 22/16 - 4×5.375 = -20.625

The series is therefore;

[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]

Answer:

the new surface Will be 1/4 pf the old surface

Step-by-step explanation:

because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.

so 294:4 Is 73.5

excuse me for my bad English but I'm italian

Answer:

A translation 3 units to the right and a 90-degree clockwise rotation

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

you can find the area of the cube and convert it to liters, if the area if the cube is more than the amount of soil then the soil is less, if the amount of soil is more than area of the cube then u have more soil and if they're both the same u have the perfect amount of soil

Answer:

Step-by-step explanation:

- 22 - □ = 7

=> - 22 - 7 = □

=> - 29 = □

=> □ = - 29 (Ans)

Answer:

Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2

Step-by-step explanation:

x^2+5x-7

x^2+5x+(2.5)^2-(2.5)^2-7

(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)

Solution of the functions are x=(-5±sqrt(53))/2

explanation:

all the questions are solved

in question no. s and t u need to divide the number in two different parts to slove

for no. w we can get two type of solution.

p and q u need to give the power of whole .

Answer:

x = 2

Step-by-step explanation:

f(x) is the range and values of x the domain

When f(x) = 4 the corresponding value of x in the domain is x = 2

Answer:

2

Step-by-step explanation:

this might not be the best explanation but this is how I thought of it.

f(0)=4?   any number multiplied by zero equals zero so it is not the first answer.

f(2)=4?   if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.

f(3)=4?  there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.

f(4)=4?  if f were to be 1 then this could be a possible answer.

so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.

Answer:

Step-by-step explanation:

a) 5.6 x 10∧-8

b) 5.678 x 10∧10

c) 1.9238 x 10∧3

Parameterize C by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ π. Then the line integral is

[tex]\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}[/tex]

Answer:

70 degrees

Step-by-step explanation:

Measure of arc ABC is 128 degrees, so measure of arc BC is 128-90 = 38 degrees.

Meausure of arc BCD is 102 + 38 = 140 degrees, so measure of angle A is 140/2 = 70 degrees

Answer:

70°

Step-by-step explanation:

64 * 2 = 128

Inscribed angle is half the arc, so arc BC is 128-90 = 38

A is half of arc BCD, which is 102 + 38 = 140

so m<A = 70°

Answer:

therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)  

Step-by-step explanation:

Long division:

13  33

13*2 = 26

33 - 26 = 7

we have: 33/13 = 2 r7

we know that we can rewrite the remainder as 7/13

therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)  

Answer:

Hey There!! The answer to this is: 32+10x-(21+12x) We are given that:

Amount MIkayla has in here piggy bank initially = $32

Money earned by Mikayla per week = $10

Money earned by Mikayla in x weeks = 10x

Total money MIkayla has after x weeks = 32+10x

Amount Jessica has in here piggy bank initially = $21

Money earned by Jessica per week = $12

Money earned by Jessica in x weeks = 12x

Total money Jessica has after x weeks = 21+12x

Comparing,

In order to compare, we subtract the money earned by Jessica from that earned by MIkalya,

The final expression would be:

32+10x-(21+12x

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

1

4

5

Step-by-step explanation:

Answer:

First find the coordinates of the vertices. A=(-8,8), B=(-8,3) and C=(-4, 4). Next apply transformation, A'=(2, 2), B=(2, - 3) and C=(6, - 2). Next map this and join them to get the required triangle

Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

Answer: ac is 200% of cd

Step-by-step explanation:

Answer:

t = 1.4 meters

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

2.744 = t^3

Take the cube root of each side

(2.744) ^ 1/3 = t^3 ^ 1/3

1.4 = t

Answer:

4%

Step-by-step explanation:

There are ₁₃C₃ ways to choose 3 diamonds from 13.

There are ₃₉C₁ ways to choose 1 non-diamond from 39.

There are ₅₂C₄ ways to choose 4 cards from 52.

Therefore, the probability is:

₁₃C₃ ₃₉C₁ / ₅₂C₄

= 286 × 39 / 270,725

≈ 0.04

The approximate probability that exactly three of the cards are diamonds is 4%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.

Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.

₃₉C₁ ways to choose 1 non-diamond from 39.

₅₂C₄ ways to choose 4 cards from 52.

Therefore, the probability is:

₁₃C₃ ₃₉C₁ / ₅₂C₄

= 286 × 39 / 270,725

≈ 0.04

Therefore, the answer could be 4 percent.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

Answer:

x = 50

Step-by-step explanation:

Let x be the original price.

He got 30% off

The discount is .30x

Subtract this from the original price to get the price he paid

x - .30x = price he paid

.70x = price he paid

.70x = 35

Divide each side  by .7

.70x/.7 = 35/.7

x=50

Answer:

Step-by-step explanation:

[tex](5^{-2}[/tex] × [tex]4^{-4}[/tex] [tex])^{-2}[/tex]

=[tex](5^{-2}[/tex][tex])^{-2}[/tex] x [tex](4^{-4})^{-2}[/tex]                            ∴[tex](a.b)^{n} =a^{n} .b^{n}[/tex]

=[tex]5^{-2.-2}[/tex] x [tex]4^{-4 . -2}[/tex]                              ∴[tex](a^{n} )^{m}[/tex] = [tex]a^{nm}[/tex] // here m is an exponent of [tex]a^{n}[/tex].

=[tex]5^{4}[/tex] x [tex]4^{8}[/tex]

Answer

5/6 maybe

Step-by-step explanation:

Answer:

h=6.003 cm

Step-by-step explanation:

[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]

1/3×22/7×7×7×h=308

h=308/51.3

Answer:

h = 6 cm

Step-by-step explanation:

r = 7 cm

Volume of cone = 308 cm³

[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]

h = 6 cm

==================================================

Work Shown

We'll be using these vector properties

To get the following

-2u + v = -2*(-1, 5) + (2,7)

-2u + v = (-2*(-1), -2*5) + (2,7) .... apply rule 2

-2u + v = (2, -10) + (2, 7)

-2u + v = (2+2, -10+7) .... use rule 1

-2u + v = (4, -3)

Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%.

If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?

Answer:

the  system of equation that  can be used to determine how long it will be before the populations of the two species are equal is :

[tex]\begin{cases} {\mathtt{P = 1.3 e^{-0.038 \ t}} & \\ \mathtt{P = 2.1 \ e^{-0.046 \ t}} & \end{cases}[/tex]

Step-by-step explanation:

Given that :

the current population of insect A to be 1.3 million

the current population of insect B to be 2.1 million.

As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%.

The equation that can be used to determine how long it will be before the populations of the two species are equal is an equation for exponential decay, which can be represented as follows:

[tex]\mathtt{y = pe^{-rt}}[/tex]

where;

P represents the population of each species of insect in millions

t represents the elapsed time in years

r is the rate of decrease

So, we can have:

[tex]\mathtt{p_1 = 1.3 }[/tex] in million   and  [tex]\mathtt{p_2 = 2.1}[/tex] in million

Also for rate of decrease;

[tex]\mathtt{r_1 = 0.038}[/tex]     and [tex]\mathtt{r_2 = 0.046}[/tex]

Therefore;

the exponential decay for Population of insect A can now be:

[tex]\mathtt{P = 1.3 e^{-0.038 \ t}}[/tex]

the exponential decay for Population of insect B can now be:

[tex]\mathtt{P = 2.1 \ e^{-0.046 \ t}}[/tex]

Hence, the  system of equation that  can be used to determine how long it will be before the populations of the two species are equal is :

[tex]\begin{cases} {\mathtt{P = 1.3 e^{-0.038 \ t}} & \\ \mathtt{P = 2.1 \ e^{-0.046 \ t}} & \end{cases}[/tex]

Answer:

A!

Step-by-step explanation:

Plato

The correct answer is B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.

Explanation:

One important factor when designing questions in research is to avoid any language that might influence the answers of respondents. This recommendation was not followed in the question "Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?" because mentioning sugary foods, which includes soda, leads to cavities will make respondents consider soda is negative and they are more likely to choose water. This implies the wording in the question influences respondents and introduces bias, which is inappropriate. Thus, the correct answer is B.

Answer:

I'm sorry but I can give exact numbers but I would like to help work it out so...

Step-by-step explanation:

So overall she had £500 to start with

And £1 is equal to 10.4 rand

So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds

Hope this helps

If this seems incorrect please comment and I will change my answer thanks:)

Answer:

3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

As per given, we have following equations:

x= 5- y as per the first equation, considering in second one:

Then:

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

1) 250 n(tnc)

2) 100

this your answer

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

Answer:

4 2/3 hours

Step-by-step explanation:

There are 7 days in a week

2/3 of an hour per day * 7 days

2/3 *7 = 14/3 hours

Changing to a mixed number

4 2/3 hours

Answer:

4.667

Step-by-step explanation:

2/3*7=4.667 (if you need decimal notation)

If you need a mixed number:

4+2/3:-)

I hope this helps!

[tex]- RosalindCordelia[/tex]