Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.

(n - 30) + n = 210
(n + 30) + n = 180
(n + 30) + n = 210
(n - 30) + n = 180

Answer: I'm pretty sure it is D. intervalled

explanation: Because it can never be exact each and every time

The number of chocolate which goes into the small boxes is 100 chocolate

= 3x + 6x

= 9x

x + 3x + 9x = 1296

13x = 1296

x = 1296/13

x = 99.6923076923076

Approximately,

x = 100 boxes

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The equation based on the information given will be x⁴ + 8x² - 12.

It should be noted that from the information given, the expression to compute will be:

= g - g(x)²

This will be:

= 4 - (4 - x²)²

= 4 - (4 - x)(4 - x)

= 4 - (15 - 8x² + x⁴)

= x⁴ + 8x² - 12

The complete question is:

Use f(x) = 2x − 3 and g(x) = 4 − x² to evaluate the expression g - g(x)².

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It would take about  8 hours 20 minutes for the 1000 mL of D5W to infuse completely.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the drop factor is 10 gtt/mL, hence:

Infuse rate = 20 gtt/min ÷ 10 gtt/mL = 2 mL/min

Time taken = 1000 mL / 2 mL per min = 500 min = 8 hours, 20 minutes.

It would take about  8 hours 20 minutes for the 1000 mL of D5W to infuse completely.

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Answer:

Step-by-step explanation:

900mL of RL is infusing at 80 gtt/min (80 macrodrops/min). Drop factor: 15 gtt/mL

Answer:

m<A = 20°

Step-by-step explanation:

360  160 = 200

m<A = (1/2)(200° - 160°)

m<A = 20°

The part of the proof regarding the triangle that is incorrect is By the Congruent Complements Theorem AMB CMD.

From the information given, it should be noted that AMC is a right angle and also that BMD is a right angle.

Therefore, it illustrates that AMC and BMD are equal.

Therefore, by the Congruent Complements Theorem AMC and BMD are equal.

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Answer:

15

Step-by-step explanation:

5x+13+11x-73=180°( co-interior angles sum is 180)

5x+11x+13-73=180°

16x-60=180

16x=180+60

16x=240

x=15

Answer:

(x' , y') = ( (x ± 1) , (y ± b) )

Step-by-step explanation:

(object vector) = (x', y')

(translation vector) = ( ±1 , ±b ) ==> Since horizontal movement (x) is right/ or left meaning ±1 , and vertical movement(y) is up or down meaning ±b

Notice that  :  (image vector) = (object vector) + (translation vector)

therefore        (x' , y') = ( (x ± 1) , (y ± b) )

Answer:

Step-by-step explanation:

ABCD moves 2 quadrants, so has to move over 2 axes.

So, the only option that would work is A).

Hope this helps.

Answer:A person or thing that is different from other people or things.

Like me and you we might like different things like I like playing games you dont your the opposite of me.

A real world situation would be looking at maybe plants see how different they look or if they look the same study them and realize one is poison the other is fresh.

Step-by-step explanation:

The required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.

Theatre company must cast 3 girls.
And has 25 resumes girls who wish audition.

permutation can be defined as study of combinations.

In the question we are asked to calculate the number of girls left after the director chooses.
At first director chooses 3 from 25.
At second director chooses 3 from 22.
At third director chooses 3 from 19.

Thus, the required  blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.

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To solve systems of equations word problems, we can delegate certain variables to subjects mentioned in the word problem. From there, we can form equations based on the given values.

Let a be the older sibling's age and b be the younger sibling's age.

We're given:

All we've done so far is translate the given sentences into equations. Now, we have to solve for b, which is the age of the youngest sibling. Solve using substitution:

[tex]a+b=55\\(b+9)+b=55\\b+9+b=55\\2b+9=55\\2b=46\\b=23[/tex]

Therefore, the younger sibling is 23 years old.

23 years old.

Answer:

y – 3x2 = 3(x2 5) 1 is correct

Step-by-step explanation:

hope this helps this may be wrong

The radius of the circular vase is 6.37 * 10^-3 m.

The term pressure is defined as the ratio of force to area. Hence we can write;

P = F/A

F =  15 N

P = 750 N/m2

A = F/P

A = 15 N/750 N/m2

A = 0.02 m^2

Now;

A = πr^2

r = √A/ π

r = √ 0.02/3.142

r = 6.37 * 10^-3 m

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C

when doing substitution,you must make one a subject,which is y in this case.To make y the subject,you must move -2y to 4x to make the y positive,that leaves us with 2y+4x=5.Now move the 4x to 5 to make 2y=5-4x.Lastly,to make y the subject,divide both side by 2 to remove the 2 from the y, which leaves us with y=5-4x/2

No issues with convergence here. If you actually expand the summand you can use the well-known Faulhaber formulas to compute the sum.

[tex]\displaystyle \sum_{i=1}^n 1 = n[/tex]

[tex]\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2[/tex]

[tex]\displaystyle \sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}6[/tex]

[tex]\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4[/tex]

and so on. You would end up with

[tex]\displaystyle L_n = \frac2n \times \frac{96-8796n^2+40283n^3-49458n^4}{n^3}[/tex]

As [tex]n\to\infty[/tex], we have [tex]L_n\to-98916[/tex].

Now, when [tex]i=1[/tex], the first term of the sum is

[tex]7(5+0)^3 - 6(5+0)^5[/tex]

so the left endpoint of the first subinterval is [tex]a=5[/tex].

At the other end, when [tex]i=n[/tex], the last term of the sum is

[tex]7\left(5+\dfrac{2(n-1)}n\right)^3 - 6\left(5+\dfrac{2(n-1)}n\right)^5[/tex]

which converges to

[tex]7(5+2)^3 - 6(5+2)^5[/tex]

so the left endpoint of the last subinterval converges to [tex]b=5 + 2 = 7[/tex].

From here it's quite clear that [tex]f(x)=7x^3-6x^5[/tex]. So, the Riemann sum converges to the definite integral

[tex]\boxed{\displaystyle \int_5^7 (7x^3 - 6x^5) \, dx}[/tex]

Step-by-step explanation:

The answer is D)

b^10/b^2

= b^10-b^2 = b^8

hope this helps.pls like and follow if you understand.

thanks:-):-)

Answer:

is it asking how many times u would get then number 5 when u roll or asking how you would expect for the first 5 rolls?

The length of the line AB as described by points A and B in the task content is; √125.

a) The length of AB as described is;

AB = √((7-2)² + (4-(-6))²)

AB = √(25 + 100) = √125.

b) The slope of AB is;

Slope, m = (7-2)/(4-(-6)) = 5/10

Slope = 1/2.

c). The coordinates of the midpoint of AB are;

x = (4+(-6))/2 = -1

y = (7+2)/2 = 4.5

The midpoint is; (-1, 4.5).

2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;

Radius = √((5-0)² + (-3-0)²)

Radius = √(25+9) = √34 = 5.8

3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;

(x-5)² + (x-3)² = 5.8².

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Answer:

75% or 65%

Step-by-step explanation: that's what I did at lest

The measure of ST based on the diagram regarding the circle is 56°.

Fron the information given, angle S is equal to 34°. Also, the triangle is inscribed in a circle.

Therefore, the measure of the angle will be:

= 180 - 90 - 34

= 56°

Therefore, the measure of angle ST is 56°.

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Answer:

m∠V = 28°

Step-by-step explanation:

In ΔUVW:

To find the measure of angle V, first find the value of x.

Interior angles of a triangle sum to 180°.

⇒ m∠U + m∠V + m∠W = 180°

⇒ (9x - 8) + (2x + 2) + (3x + 4) = 180

⇒ 9x + 2x + 3x - 8 + 2 + 4 = 180

⇒ 14x - 2 = 180

⇒ 14x = 182

⇒ x = 13

Substitute the found value of x into the expression for angle V:

⇒ m∠V = 2(13) + 2

⇒ m∠V = 26 + 2

⇒ m∠V = 28°

Therefore, the measure of angle V is 28°.

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20/63

Step-by-step explanation:

Use Keep Change Flip so your question would become 4/3 multiplied by 5/21

Answer:

20/63

Step-by-step explanation:

[tex]\frac{4}{3} /\frac{21}{5} =\frac{(4)(5)}{(3)(21)} =\frac{20}{63}[/tex]

Hope this helps

From the values in the table,  we can say that the first graph is the correct one that shows some values for the given equation.

We are given the quadratic equation as;

y = x² - 1

From the given table;

At x = -2, y =  (-2)² - 1 = 3

At x = -1, y = 0

At x = 0, y = -1

At x = 1, y = 0

Now, from the values above, we can say that the first graph is the correct one that shows some values for the given equation.

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Answer:

13. m∠MN + m∠NMP = m∠MP.

14. m∠NMP - m∠OMP = m∠NMO.

~

15. x = 3 + y and -2y + 3 < -1 : Given

16. x > y : x = 3 + y

17. -2y < -4 : -2y < -4

18. y > 2 : y > 2

19. x > 2 : x = 3 + y and y > 2

------------------------------------------

Answer:

30%

Step-by-step explanation:

[tex]\frac{145}{500} = 0.29[/tex] ≅ 0.30 or 30%

By Green's theorem,

[tex]\displaystyle \int_C P(x,y)\,dx + Q(x,y)\,dy = \iint_D \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \, dA[/tex]

where [tex]D[/tex] is the interior of [tex]C[/tex]. It's easy to see that

[tex]D = \left\{(x,y) ~:~ 1 \le x \le 3 \text{ and } 1 \le y \le 4\right\}[/tex]

Now,

[tex]\dfrac{\partial Q}{\partial x} = \dfrac{\partial}{\partial x}(-x^2) = -2x[/tex]

[tex]\dfrac{\partial P}{\partial y} = \dfrac{\partial}{\partial y}(\ln(x) + y) = 1[/tex]

so that the line integral reduces to

[tex]\displaystyle \int_C (\ln(x)+y)\,dx - x^2\,dy = -\int_1^3 \int_1^4 (2x+1) \, dy\,dx = \boxed{-30}[/tex]

For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with a population mean of 320 and a population standard deviation of 20 inches.

[tex]P(X < 340) = P(z < \dfrac{(340-320)}{20})[/tex]

                    =  P(z < 1)

                    = 0.8413

Hence, For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.

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