A patient is ordered 10 units of Drug B per kg of body weight
per day. This daily dose is to be given in three equal doses.
If the patient weighs 75 kg, how many units of Drug B will
the patient receive in a single dose?

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

Step-by-step explanation:

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

Answer:

.67

Step-by-step explanation:

so first subtract 6.4 from 16.45 and then divide that answer by 15. it wont even make a whole

Answer:

The vehicle can travel 12 miles per gallon of gas.

Step-by-step explanation:

i.e.

\(1\frac{1}{8}=\frac{9}{8}\) gallons

i.e.

\(13\frac{1}{2}=\frac{27}{2}\) miles

Thus,

Total Gallons =9/8 gallons

Total Distance in miles = 27/2 miles

Hence:

Unit Rate = [27/2 miles] / [9/8 gallons]

                = 12 miles per gallons  ∵ \(\frac{27}{2}\div \frac{9}{8}=12\)

Therefore, the vehicle can travel 12 miles per gallon of gas.

Answer:

x=-2

im not sure on the explanation

Answer:x

Step-by-step explanation:

Answer:

\(\frac{62!}{56!}\)

Step-by-step explanation:

We can either look at all 62 characters (2 * 26 in the alphabet and 10 digits), choose 6 of them, and add the fact that we care about their order - so multiply by 6! and we get \(\binom{62}{6}\cdot 6! = \frac{62!}{6!\cdot 56!} \cdot 6! = \frac{62!}{56!}\)

Or, we can look atr all the permutations of all the characters and take into account that we DON'T care about the order of the 56 after the first six. Getting \(\frac{62!}{56!}\) immediately.

Assume the account earns 7% simple interest. in your account now. You would need to deposit $3,007.52 in your account.

1541 days = 4.2219 years

Hence,

Time = 4.2219 years

Interest rate = 7%

Principal = $4,000

Hence,

4000=Po(1+.07)^4.2219 years

4000=1.33×Po

Po = 4,000 /1.33

Po = $3,007.52

Therefore the amount you need to deposit is  $3,007.52.

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Answer:

2

Step-by-step explanation:

-7 x 2 = -14

Answer:

-7*2=-14

Step-by-step explanation:

negative * positive = negative

Therefore, -7*2=-14

Hope this Helps!

Answer:

x=15

Step-by-step explanation:

Add the two equations together because there is a 90 degree angle. You can add the two to get :

4x+30=90

-30 from both sides

4x=60

Divide by 4 on both sides to get your answer!

x=15

Answer: X = 15

I think you can give brainiest to the person above me now

I know it's really late but :)

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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Answer:

16.2

Step-by-step explanation:

r = k/x

72 = k/9

k = 72*9

When r = 40 ,

x = k/r

x = 72*9/40 = 16.2

Answer:

13.78

Step-by-step explanation:

6.24+1.95+5.59 = 13.78 dollars

Answer:

13.78

Step-by-step explanation:

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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The best describes reason the proof is not correct is c. The proof violates the parity property.

The reason the attempted proof of the statement "The difference between any odd integer and any even integer is odd" is not correct is "The proof violates the parity property."

The student incorrectly subtracted an even integer from an odd integer and concluded that the result is odd. However, the difference between an odd integer and an even integer is always odd, which can be proven directly as follows:

Let n be any odd integer and m be any even integer. Then, by definition, n = 2k + 1 and m = 2j for some integers k and j. The difference between n and m is:

n - m = (2k + 1) - 2j

= 2k - 2j + 1

= 2(k - j) + 1

Since k and j are integers, k - j is also an integer. Therefore, the difference between any odd integer and any even integer is of the form 2x + 1, where x is an integer, which is an odd integer.

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Answer:

∠EBF = 51°

∠DBE = 17°

∠ABF = 141°

∠EBA = 90°

∠DBC = 107°

∠DBF = 68°

Step-by-step explanation:

Hope this helps

Answer:

1.

a. m<EBF = 90 - 39 = 51

b. m<EBA = 90

c. m<DBE = 90 - 73 = 17

d. m<DBC = 90 + 17 = 107

e. m<ABF = 90 + 51 = 141

f. m<DBF = 17 + 51 = 68

2.

<ABD, <DBE, <EBF, <FBC, <DBF

3.

<ABF, <DBC

4.

<ABE, <EBC

Step-by-step explanation:

Jose has a points card for a movie theater.

Write and solve an inequality which can be used to determine x, the number of visits Jose can make to earn his first free movie ticket.

3.5x + 50 > 85

3.5x  > 35

x > 10

He must visit 10 times to earn his first free movie ticket.

Answer:

x = 32

Step-by-step explanation:

x - 7 = 25

To solve equations, you do the some thing to both sides to isolate x.

After adding 7 to both sides we have:

x = 32

Answer:

x = 32

Step-by-step explanation:

⇒ Isolate the variable x by adding 7 to both sides:

x – 7 + 7 = 25 + 7

⇒ Evaluate the equation to finally get:

x = 32

Hope this helps! :)

Answer:

on what

Step-by-step explanation:

??????

Answer:

What do you need help with?

Step-by-step explanation:

Upload a picture

Answer:

Step-by-step explanation:

For two parallel lines. their slope are equal

Find the slope of each of the lines

For line A;

m = 0 -y/0+1

mA = -y/1

For line B;

mB = 9 - 3/8 - 6

mB = 6/2

mB = 3

since their slope are equal hence mA = mB

-y/1 = 3

-y = 3

y = -3

Hence the value of y is -3

Answer:

Step-by-step explanation:

Hello!

The historical data suggests that the life expectancy in Argentina is equal to the life expectancy in Bolivia.

With the objective of testing if that it hasn't changed, the records of recently deceased people from Argentina and Bolivia were selected at random:

Group 1: Argentina

X₁: Years of life of a recently deceased Argentinian.

n₁= 265

X[bar]₁= 74.8 years

S₁= 4.1 years

Group 2: Bolivia

X₂: Years of life of a recently deceased Bolivian.

n₂= 300

X[bar]₂= 75.4 years

S₂= 4.3 years

The parameters of interest are the population means of the years of life of people in both countries:

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α: 0.05

The statistic to use is an approximate standard deviation, and since both samples are quite large, it is valid to use the sample standard deviations in place of the population standard deviations:

\(Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S_2^2}{n_2} } }\)≈N(0;1)

\(Z_{H_0}= \frac{(74.8-75.4)-(0)}{\sqrt{\frac{16.81}{265} +\frac{18.49}{300} } }= -2.54\)

The critical values for this test are:

\(Z_{\alpha /2}= Z_{0.025}= -1.96\)

\(Z_{1-\alpha /2}= Z_{0.0975}= 1.96\)

Using the critical value approach, the decision rule is:

If \(Z_{H_0}\) ≤ -1.96 or if \(Z_{H_0}\) ≥ 1.96, reject the null hypothesis.

If -1.96 < \(Z_{H_0}\) < 1.96, do not reject the null hypothesis.

\(Z_{H_0}\) ≤ -1.96 so the decision is to reject the null hypothesis.

So with a 5% significance level, there is enough evidence to reject the null hypothesis, you can conclude that the life expectancy in Argentina is different from the life expectancy in Bolivia.

I hope this helps!

Answer: No solution/Empty Set

Step-by-step explanation: When you factor the 2(-7+b), you get 2b, which when moved to the other side cancels out the variable

Answer:

y=3,X= -4

Step-by-step explanation:

hope this helps

Answer: \((-4, 3)\)

Step-by-step explanation:

1) Add these equations to eliminate y: \(2x=-8\)

2a) Then solve \(2x=-8\) for x: \(2x=-8\)

2b) Divide both sides by 2:  \(\frac{2x}{2} =\frac{-8}{2}\)

2c) \(x=-4\)

3) Substitute \(-4\) for \(x\) in \(x+y=-1\): \(-4+y=-1\)

4) Simplify both sides of the equation: \(y-4=-1\)

5) Add 4 to both sides: \(y-4+4=-1+4\)

6) Simplify: \(y=3\)

7) Write the point: \((-4, 3)\)

The total interest on the mortgage loan  is $219,249.60

What is a mortgage loan?

It is a loan taken in order to purchase a property that requires periodic repayments such as monthly repayment since most mortgages are repaid monthly.

Our first task is to determine the monthly repayment using the present value formula of an ordinary annuity because the monthly payment becomes due at the end of each month.

PV=monthly repayment*(1-(1+r)^-N/r

PV=loan amount=$210,000

monthly repayment=unknown(assume it is X)

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly payments in 30 years=30*12=360

$210,000=X*(1-(1+0.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-(1.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-0.19277525234572900)/0.00458333333333333

$210,000=X*0.80722474765427100/0.00458333333333333

$210,000=X*176.12176312456800000

X=$210,000/176.12176312456800000

X=monthly payment=$1,192.36

total repayments(360 months)=$1,192.36*360

total repayments(360 months)=$429,249.60

Total interest=total repayments(360 months)-loan amount

Total interest=$429,249.60-$210,000

Total interest=$219,249.60

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Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!