share £80 in the ratio 1:3:4 (please give workings out)​

Answer: d/dx [sin(√ex + a /2)]

Answer:

\(2 log(x )- (3 log(y) + log(z) ) \\ \equiv log( {x}^{2} ) - log( {y}^{3} ) - log(z) \\ \equiv log( \frac{x {}^{2} }{ {y}^{3} + z} ) \)

Based on the given area of 93.50 in², we can conclude that the number of significant figures in the width measurement must be at least four.

To determine the number of significant figures in the width measurement, we can examine the given area calculation result of 93.50 in².

The general rule for determining significant figures is as follows:

Non-zero digits are always significant.

1, 2, 3, etc. are significant.

Zeros between non-zero digits are significant. For example, 202 has three significant figures.

Leading zeros (zeros to the left of the first non-zero digit) are not significant.

0.002 has one significant figure.

Trailing zeros (zeros to the right of the last non-zero digit) are significant if they are after a decimal point.

1.20 has three significant figures.

This is because the calculated area has four significant figures (93.50) and the area is a product of the length and width measurements.

It is important to note that without additional information about the specific measurements and their uncertainties, we cannot determine the exact number of significant figures in the width measurement.

The given area value simply provides a minimum requirement for the significant figures in the width measurement.

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The direction of the difference between the 2 measurements.

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A = P(1+r/n)(nt), where P is the original principal, r is the annual interest rate, n is the number of times the interest is compounded annually, and t is the number of years the money has been held, is the formula for compound interest.

To calculate the final amount of money in the account:

 First, divide the 8% annual interest rate by 100 to get a decimal value: 0.08.

Find the number of times the interest is compounded annually. Since it is done quarterly, the answer is n = 4.

Put these values into the formula now, along with the $1200 principle sum and the number of years, 5, to complete it:

A = $1200(1+(0.08/4))^(4*5) = $2490.07

  to determine how long it will take for the initial sum to double to $2400.

 Divide the final sum by the starting sum: 2400/1200 = 2

 Take the natural logarithm of 2: ln(2) = 0.693

Decimalize the result and divide it by the interest rate: 0.693 / 0.08 = 8.66 years

 Therefore, the time it will take for the initial sum of money to double to $2400 is 8.66 years.

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According to the property of parallelogram, Angle ABC is right angle.

Given:In □ABCD is quadrilateral

AB=DC andAD=BC

To prove: Angle ABC is right angle

Proof: in △ABC and △ADC

AD=BC [Given]

AB=DC [Given]

AC=AC [Common side]

thus, By SSS property △ADC≅△ACB

∴∠DAC=∠DCA

∴AB∣∣DC

In△ABD and △DCB

DB=DB [Common side]

AD=BC [Given]

AB=DC [Given]

Thus, △ABD≅△DCB

AD∣∣BC

Since AB∣∣DC and AD∣∣BC, △ABCD is parallelogram

Therefore, Angle ABC is right angle.

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The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Answer: C or the third choice 0.2925

I just took the test I got it right!

Step-by-step explanation:

You multiply 0.13 by 2.25

0.13×2.25=0.2925

Answer:

The answer is c

Step-by-step explanation:

I just did a quiz.

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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By using probability, it can be calculated that-

the optimal number of cookies to make is 2400 dozens

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here

Each dozen of cookies is sold for $1.99 and cost $0.99

Shortage = $(1.99 - 0.99) = $1

Cookies that are not sold at the end of the day are reduced to $0.49

Overage = $(0.99 - 0.49) = $0.5

Service = \(\frac{1}{1 + 0.5}\\\)

              \(=\frac{1}{1.5}\\\\=\frac{2}{3}\\\\=0.67\)

Now the table is

Demand               Probability of demand             Cumulative probability  

(Dozen)

1800                          0.05                                             0.05

2000                         0.15                                              0.2

2200                         0.2                                               0.4

2400                         0.3                                                0.7

2600                         0.2                                               0.9

2800                         0.1                                                 1

Here the closest to service is 0.7

So the optimal number of cookies to make is 2400 dozens

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Complete Question

Famous Albert prides himself on being the Cookie King of the West. Small, freshly baked cookies are specialty of his shop. Each dozen sells for $1.99 and costs $0.99, which includes handling and transportation. Cookies that are not sold at the end of the day are reduced to $0.49 and sold the following day as day-old merchandise. Famous Albert has asked for help to determine the number of cookies he should make each day. From an analysis of past demand he estimates demand for cookies as

Demand                Probability of demand            Cumulative probability    

(Dozen)

1800                          0.05                                          

2000                         0.15                                            

2200                         0.2                                              

2400                         0.3                                              

2600                         0.2                                            

2800                         0.1                                                

Using the information in q8, what is the optimal number of cookies to make? 2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

Answer:  81

Explanation:

We take half of the x coefficient (18) to get 18/2 = 9

Then we square 9 to get 9^2 = 9*9 = 81

This process is done because (x+b)^2 = x^2+2bx+b^2

Notice the coefficient of the x term is 2b. That cuts in half to b, which then squares to b^2

Going back to the current problem, if c = 81 then,

x^2+18x+c = x^2+18x+81 = (x+9)^2

The inequality for the given statement is y > -8x+9.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given that,

The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".

According the given statement

First taking the sum of negative eight times the value of x and 9.

-8x+9

Then,

y is greater than -8x+9.

y > -8x+9

Hence, The inequality for the given statement is y > -8x+9.

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Since triangle DEF is a scale drawing of triangle ABC, the scale factor used is equal to 1/3.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Mathematically, the scale factor of a geometric object such as a triangle can be calculated by using this formula:

Scale factor = Dimension of image/Dimension of original figure

Substituting the given parameters into the formula, we have the following;

Scale factor = 3/9

Scale factor = 1/3.

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Answer:

Step-by-step explanation:

divide

Answer:

The cost of 4 dozen eggs is 4 * $1.25 = $5.

The cost of half a gallon of milk is $2.97.

The total cost of the eggs and milk is $5 + $2.97 = $7.97.

Since Chase has only $10, the minimum price for a dozen eggs is $10 - $7.97 = $2.03.

So the answer is 2.03

Step-by-step explanation:

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

The coins used for buying hot chocolate are 8 dimes and 4 nickels.

What are dimes and nickels?

The size of the nickel and dime coins is different, yet they are both silver in color. The dime is smaller than the nickel coin, but having a higher value. The value of each coin can be used to calculate the sum of several coin combinations.

We are given that hot chocolate is bought for $1.00 and only two kinds of coins to make $1.00 with exactly 12 coins.

We know that the value of a nickel is five cents, while that of a dime is ten cents. A dime is therefore equivalent to two nickels in value. The value of a nickel is therefore equal to half the value of a dime.

So, we get that he used 4 nickels and 8 dimes which make 12 coins and 100 cents which is equal to $1.

Hence, the coins used for buying hot chocolate are 8 dimes and 4 nickels.

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Answer:

1. No solution

2. w=-3

3. 0

4. r=- 31/8

5. a=-3

6. 0

7. m=-4

8. No solution

9. y=5

10. 0

Pls make brainliest :D

Kelli spends 75 minutes studying math over a 5-day period.

Kelli studies for 45 minutes per night, with 1/3 of her time devoted to math.

To find how many minutes she spends on math, multiply 45 minutes by 1/3:

45 * (1/3) = 15 minutes per night.

To determine the total time spent on math in 5 days, multiply 15 minutes by 5:

15 * 5 = 75 minutes.

Based on the calculation, Kelli studies for 5 nights, so she spends 15 minutes x 5 nights = 75 minutes studying math in 5 days.

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Answer:

(0,6), (1,7), (2,8)

Step-by-step explanation:

Answer:

The 12th term would be 29

Step-by-step explanation:

First find the Algebraic expression:-

Xn = dn + b

'd' means common difference, which is 2 in this sequence.

'b' means 'first term- d'

So, b = 7 - 2

b = 5

Xn = 2n + 5

Now, to find the 12th term, substitute 12 in the place of 'n':-

2 x 12 + 5

29 is the 12th term!

Answer:yes 3x2=6

Step-by-step explanation:

Answer:

No thus statement is not right...

Step-by-step explanation:

3×3=9

but multiples of 6 doesnt have a 9

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

Where is the problem?

Step-by-step explanation:

Amount of one tin of paint is $14 and the total amount Mr. Chong  have is $172.

Let amount of one tin of paint = x

Let the total amount Mr. Chong  having = y

On buying 18 tins of paint, he will need another $80. This can we mathematically represented as,

18x = y + 80            

On rearranging this equation can be written as,

18x - y = 80                                         equation 1

On buying 10 tins of paint, he will will have $32 left. This can we mathematically represented as,

10x = y - 32

On rearranging this equation can be written as,

-10x + y = 32                                      equation 2

On adding equation 1 and equation 2, we get

18x - y -10x + y = 80 + 32

8x = 112

x = (112/8) = 14

On substituting x = 14 in equation 2 , we get

-140 + y = 32

y = 172

So, amount of one tin of paint is $14 and the total amount Mr. Chong  have is $172.

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Answer:

13

Step-by-step explanation:

7j=91

91/7=j

13

hope that helps:)

To practice adding mixed numbers with like denominators, you can use worksheets that include problems with varying variables.

Adding mixed numbers with like denominators. Since you mentioned worksheets, I'll explain the process step-by-step, and you can apply these steps to any worksheet problems you have.

Step 1: Identify the mixed numbers and their like denominators.
In a given problem, you'll be given mixed numbers (a whole number and a fraction combined) with like denominators (same number in the denominator).

Example: 2 1/4 + 3 3/4 (Both fractions have the denominator 4)

Step 2: Add the whole numbers.
Add the whole numbers of the mixed numbers together.

Example: 2 + 3 = 5

Step 3: Add the fractions with like denominators.
Add the numerators (top numbers) of the fractions and keep the denominators the same.

Example: 1/4 + 3/4 = (1+3)/4 = 4/4

Step 4: Simplify the fraction, if needed.
If the fraction is improper (numerator is equal to or greater than the denominator), simplify it to a mixed number.

Example: 4/4 = 1

Step 5: Combine the whole numbers and simplified fractions.
Add the whole numbers from Step 2 and the simplified fraction from Step 4.

Example: 5 (whole number) + 1 (simplified fraction) = 6

Final Answer: 2 1/4 + 3 3/4 = 6

Now, you can apply these steps to any problem in your adding mixed numbers with like denominators worksheets. Good luck!

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Answer:

Positive and negative intervals on a graph

Step-by-step explanation:

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). hope this helps you :)

Answer:

Step-by-step explanation:

First you get X. X has been given as 5 already so it is answered. Now finding Y.

Y=(5*5)-3

It is times 5 because x is 5.

Y=25-3

Y=22

Answer:

Mean Hypothesis is Mean values of the treatment and the control group is not equal

Step-by-step explanation:

The null hypothesis is mostly the problem statement.

Here the problem statement is

To check whether there is a difference in treatment result of two groups of patient; one which has received the treatment and the other is the control group.

Thus, the null hypothesis is

H0 - Mean values of the treatment and the control group is not equal