One positive integer is 4 less than twice another. The sum of their squares is 445. Find the integers.

answer

B)34.85°

ur very welcome

Answer:

34.85°

Step-by-step explanation:

Hello, just got done with this exam and got the answer correct!

0.70 ft

Step-by-step explanation:

The volume V of a cone is given by

\(V = \dfrac{\pi}{3}r^2h\)

where r is the radius of the base and h is the height of the cone. Since the radius is half the diameter D, we can rewrite V as

\(V = \dfrac{\pi}{3}\left(\dfrac{D}{2}\right)^2h = \dfrac{\pi}{12}D^2h\)

But since the base diameter D is always equal to the cone's height, we can write the volume in terms of the height h as

\(V = \dfrac{\pi}{12}h^3\)

Now gravel is being added to the conical pile at a rate of 35 cubic ft per minute so to find the rate at which the height of the pile is increasing, we are going to take the derivative of V with respect to time:

\(\dfrac{dV}{dt} = \dfrac{d}{dt}\left(\dfrac{\pi}{12}h^3\right)\)

\(\:\:\:\:\:\:\:= \dfrac{\pi}{12}\cdot 3h^2\dfrac{dh}{dt} = \dfrac{\pi}{4}h^2\dfrac{dh}{dt}\)

Rearranging the variables and solving for dh/dt, we get

\(\dfrac{dh}{dt} = \dfrac{4}{\pi h^2}\dfrac{dV}{dt}\)

\(\:\:\:\:\:\:\:\:= \dfrac{4}{\pi(8\:\text{ft})^2}(35\:\text{ft}^3\text{min})\)

\(\:\:\:\:\:\:\:=0.70\:\text{ft/min}\)

Step-by-step explanation:

a) To find out how much money Daniel deposited in the account, we need to calculate the interest earned in one year.

The interest earned in one year is:

£1524.60 - £1480.50 = £44.10

We know that this interest is earned on the initial deposit, so we can set up an equation:

Initial deposit + interest earned = amount after one year

Let x be the initial deposit. Then:

x + £44.10 = £1480.50

Solving for x, we get:

x = £1436.40

Therefore, Daniel deposited £1436.40 in the account.

b) To find the annual interest rate on the account, we can use the formula:

Simple interest = (principal x rate x time) / 100

where principal is the initial deposit, rate is the annual interest rate, and time is the number of years.

For the first year, we have:

£44.10 = ( £1436.40 x rate x 1 ) / 100

Solving for rate, we get:

rate = 3.07%

Therefore, the annual interest rate on the account is 3.1% (rounded to 1 decimal place).

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

Answer:

-177

Step-by-step explanation:

Plug in the values into the equation.

-q(9)^2-(-6)^2+3(-20)

-81-36-60=-177.

Answer:

x=1.2

Step-by-step explanation:

25x^2 -36=0

25x^2 =36

25x^2/25=36/25

x^2 =1.44

x=square root of 1.44

x=1.2

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.

Answer:

I think the answer will be:- m = \(-\frac{5}{3}\)

Answer:

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

≈

16

Step-by-step explanation:

Answer: 16

Reason: bc it just is

Answer:

1360

Step-by-step explanation:

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

Learn more about equations, by the following link

brainly.com/question/2972832

#SPJ1

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Step-by-step explanation:

Step by step solution :

Step  1  : Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the X-Intercept

Calculate the Slope

Answer for y=2x-6  is below

Answer:  

Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Hope this helps.

A frequency distribution table is a table that summarizes data in two columns.

The result does not appear to have a normal distribution.

From the dataset, we have the following classes using 5 classes with a lower class limit of 119.4 and a class width of 0.2 volts

119.4 - 119.6, 119.7 - 119.9, 120.0 - 120.2. 120.3 - 120.5. and 120.6 - 120.8

So, the frequency distribution table is:

Class                   Frequency

119.4 - 119.6             4

119.7 - 119.9            10

120.0 - 120.2          6

120.3 - 120.5         5

120.6 - 120.8         0

The result does not appear to be normal.

This is so, because the frequency table do not go in form of a bell shape

Read more about frequency distribution table at:

https://brainly.com/question/26227023

Answer:

2 laps in 120 seconds is correct

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

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

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

Read more about Domain and Range at: https://brainly.com/question/10197594

#SPJ1

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

Answer:

42.70

Step-by-step explanation:

Answer:

The new cost is $79.30

Step-by-step explanation:

since 35% of 122 is $42.70 you will subtract that from 122 to get $79.30

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

To know more about Recipe Masters here

https://brainly.com/question/27897496

#SPJ4

Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

Answer:

x = one number

y = second number

Where,

x = y - 3

2y = 4x - 16

Multiply the first equation by 2 and substitute the second equation into it.

2(x=y-3) : 2x = 2y - 6

2x = (4x - 16) - 6

Combine like terms

2x = 4x - 22

2x - 2x + 22 = 4x - 2x -22 + 22

22 = 2x

22/2 = 2x/2

11 = x

Step-by-step explanation:

Answer:

No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg

Answer: 70 cars.

Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.

Answer:

Hope the picture will help you

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

For more such questions on line segment

https://brainly.com/question/30756145

#SPJ8

Functions are binary relationships between two variables.

You "input" a value of x and as a result you get an "output" (value of y)

For every value of x there can only be one solution or value of y.

The value of x=3 has two possible solutions y=5/2 and y=7/2, this is not a function.