find the distance between the points (3,4) and (-8,4)​

The gallons of water and gallons of the premium antifreeze solution that must be mixed are 60 gallons and 120 gallons respectively.

In order to solve this word problem, we would assign a variable to the gallons of water and premium 60% antifreeze that is required, and then translate the word problem into algebraic equation as follows:

Since the premium antifreeze solution contains 60% premium antifreeze, we have the following mathematical expression:

w + p = 180      ....equation 1.

0.60p = 0.40(180)    ....equation 2.

From equation 2, we have:

0.60p = 0.40(180)

0.60p = 72

Premium antifreeze, p = 72/0.60

Premium antifreeze, p = 120 gallons.

For the gallons of water, we have:

w + p = 180

Water, w = 180 - p

Water, w = 180 - 120

Water, w = 60 gallons.

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Step-by-step explanation:

this is one way to find HCF

according to my knowledge ,it will be easy

Answer:

b + 5

Step-by-step explanation:

If there are 5 more girls and b represents boys, then adding 5 to b (boys) gives you the number of girls. Hope this helps!

Answer:

The second one

Step-by-step explanation: 27-5=22 then u divide 22 divided by 2 and you get 11 then you add five girls to the 11 and you get 16 so there's 11 boys and 16 girls at the party which makes the equation 11+5=16 so the answer is number b (the second one).

The least positive number with this property is given as follows:

N = 280.

A number N gives remainder 0 when divided by 8, it gives remainder 0, when divided by 7 and it is an even multiple of 5, hence the number is multiple of these 3 numbers.

Before obtaining the number, we must obtain the least common multiple of 8, 7 and 5, factoring them by prime factors as follows:

8 - 7 - 5|2

4 - 7 - 5|2

2 - 7 - 5|2

1 - 7 - 5|5

1 - 7 - 1|7

1 - 1 - 1.

Hence:

lcm(8,7,5) = 2³ x 5 x 7 = 280.

280 is an even multiple of 5, as it is an even number, hence it is the least positive number N with the property in this problem.

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The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

Step-by-step explanation:

steps are below

step 1

(2x+1)^2 - (x+3)^2  equation

step 2

4x^2+4x+1+(-x^2)+(-6x)+(-9)  distribute

step 3

4x^2+4x+1+(-x^2)+(-6x)+(-9)

(4x^2+-x^2)+(4x+(-6x)+(1+(-9)  combine the like terms

3x^2-2x-8

Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

Answer:

it has a range of 17

Step-by-step explanation:

I just took it

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Answer:

27.94%

Step-by-step explanation:

The statement tells us that we have 5 red balls and 6 blue balls, that is, there are 11 in total (5 + 6)

So the probability of red balls = 5/11 and blue balls probability = 6/11

Let X be the number of red balls of those 5 selected balls.

 Then X follows a binomial distribution with the following parameters:

n = 5

p = 5/11

q = 6/11

P (X) = nCx * p ^ (x) * q ^ (n -x)

required probability is P (X = 3), replacing:

P (X = 3) = 5C3 * (5/11) ^ (3) * (6/11) ^ (5 -3)

P (X = 3) = 5! / (3! (5-3)!) * 0.02794

P (X = 3) = 10 * 0.02794

P (X = 3) = 0.2794

Which means that the probability is 27.94%

Answer:

0.003142 I think

Given:

We multiply by following the rules of expansion:

First step: Open the bracket:

Collect like terms:

Answer: 28

Step-by-step explanation:

The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].

Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.

Now we can apply the bisection method as follows:

Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.

Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.

Evaluate f© ≈ 1.765625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

We can continue this process until we reach the desired level of accuracy.

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

y+2x = 3

Step-by-step explanation:

The formula for finding the equation of a tangent line is expressed using the point slope equation y-y0 = m(x-x0) where:

m is the slope of the line and (x0, y0) is a point on the line.

m = dy/dx = dy/dt ÷ dx/dt

dy/dt = 2(t-1)

dx/dt = e^t

m = 2(t-1)/e^t

If x = e^t, and x = 1

1 = e^t

Taking ln of both sides

ln1 = lne^t

t = ln1

t = 0

Substituting t = 0 into the slope formula:

m = 2(t-1)/e^t

m = 2(0-1)/e^0

m = 2(-1)/1

m = -2/1

m = -2

Substituting the slope m= -2 and the given point (1,1) into the formula for calculating the equation of tangent line we will have;

y-1 = -2(x-1)

y-1 = -2x+2

y+2x = 2+1

y+2x = 3

Hence the equation of the tangent line in Cartesian coordinates for the given parameter t is y+2x = 3

The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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Part 1: The first five terms of the sequence are -1, 16, 69, 266, 1039

Part 2: The first five terms of the sequence are 12, 12, 130/9, 69/4, 126

Part 1:

For finding the first five terms we will substitute values in n from 1,2,3,4 and 5

an = 2n^2 + 5n-10

a1 = 2(1)^2 + 5(1)-10

=4+5-10 = -1

So, the first term is -1

a2 = 2(2)^2+5(2)-10

= 16+10-10 =16

The second term is 16

a3 = 2(3)^2+5(3)-10

=64+15-10

=69

The third term is 69

a4 = 2(4)^2+5(4)-10

=256+20-10

=266

The fourth term is 266

a5 = 2(5)^2+5(5)-10

= 1024+25-10

= 1039

The fifth term is 1039

Part 2:

an = 3n+4/n^2+5

a1 = 3(1)+4/1^2+5

= 3+4+5

= 12

The first term is 12

a2 = 3(2)+4/2^2+5

= 6+1+5

= 12

The second term is 12

a3 = 3(3)+4/3^2+5

= 9+4/9+5

= 81+4+45/9

=130/9

The third term is 130/9

a4 = 3(4)+4/4^2+5

= 12+4/16+5

=17+1/4

=69/4

The fourth term is 69/4

a5 = 3(5)+4/5^2+5

= 15+4/25+5

=20+4/25

=504/4

= 126

The fifth term is 126

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Answer:

The first one is d: x=0 or x=6

the second one is the 3rd one

Step-by-step explanation:

The roots of the quadratic equation will be -

{x} = (1 ± i√29)/5

Given is the quadratic equation as -

5x² - 2x + 6 = 0

We can write the roots as -

{x} = {- b ± √(b² - 4ac)/2a}

{x} = (2 ± √-116)/10

{x} = (2 ± i 2√29)/10

{x} = 2(1 ± i√29)/10

{x} = (1 ± i√29)/5

Therefore, the roots of the quadratic equation will be -

{x} = (1 ± i√29)/5

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Answer:

See below

Step-by-step explanation:

Not sure what you are asking....do you want to know what y is when x = -2   and the equation = 6 ?

3 xy^2 + 4x = 6         or is that    3 xy^(-2) + 4x = 6

Could use some serious editing of your question if you are able ....

Step-by-step explanation:

Shaded region = [(2x+3)(4x-5)] - [(3x+2)(x-8)]

= [8x²-10x+12x-15 - (3x²-24x+2x-16)]

= [8x²+2x-15-(3x²-22x-16)]

= 8x²+2x-15-3x²+22x+16

= 5x²+24x+1

Answer:

count by 2⁄3 starting at 6

Step-by-step explanation:

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Answer:

The answer to the question provided is

.43

➼ Move the decimal two places over to the right.

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

ummm one is in the morning and one is in the afternoon? lol

or idek sorry bro

The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

If a bicycle has a listed price of $522.95  before tax and the sales tax is 7.75%, then the total cost of the bicycle with sales tax included is $563.47

The listed price of bicycle = $522.95

The sales tax percentage = 7.75%

We know

C = p(t×p)

Where C is the total cost

p is the listed price

t is the sales tax percentage

Substitute the values in the equation

C = 522.95+((7.75/100)×522.95)
= 522.95+40.53

= $563.47

Hence, if a bicycle has a listed price of $522.95  before tax and the sales tax is 7.75%, then the total cost of the bicycle with sales tax included is $563.47

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Answer:

To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:

Add up the value of the gifts Katye received:

Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)

Add up the value of the cash Katye received:

Total cash = $100

Subtract the cost of the book from the total cash:

Cash remaining after buying the book = $100 - $23

Determine the maximum number of $10 donations that Katye can make:

Maximum number of $10 donations = (cash remaining after buying the book) / $10

Multiply the maximum number of donations by $10 to get the total amount donated:

Total amount donated = (maximum number of $10 donations) x $10

Subtract the cost of the book and the total amount donated from the total cash:

Cash remaining = $100 - $23 - (total amount donated)

The final answer will be the cash remaining after these calculations

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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