Use the clues in the sentences to determine the best meaning for each bolded word
"He was a tenacious worker, and by sticking firmly to his plan, he succeeded."
"Students planning to become scientists must select a science major, such as biology, chemistry, or physics."
"I want to take a class in calligraphy, or artistic writing, at the community center."
Done

Answer:

  i -j +2k . . . at s=t=-1

Step-by-step explanation:

For the lines to intersect, there must be values of s and t that make the coordinates of r1 equal to those of r2.

Equating i coefficients, we have ...

  2 +s = 2 +t

Equating j coefficients, we have ...

  2 +3s = 3 +4t

Equating k coefficients, we have ...

  3 +s = 4 +2t

The first equation tells us s = t. Using t = s in each of the other two equations, they become ...

  2 +3s = 3 +4s   ⇒   s = -1

  3 +s = 4 +2s   ⇒   s = -1

Then the point of intersection is where s = t = -1. That point is ...

  (2 +s)i +(2 +3s)j +(3 +s)k = (2 -1)i +(2 -3)j +(3 -1)k

  = i -j +2k . . . . the point of intersection

Answer:

I think it is b

Step-by-step explanation:

Answer: The probability would be 1/3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Only '1' and '2' are less than '3' on a 6-sided die.

Thus, only 2 out of 6 outcomes are of interest.

The probability of rolling a number less than three on a six-sided die is therefore 1/3.

Answer:

My answer is in the attached image.

Answer:

[tex]y > 125[/tex]

Step-by-step explanation:

[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]

[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]

[tex]y > 128 - 3[/tex]

[tex]y > 125[/tex]

Answer:

Step-by-step explanation:

To do this you would simplify both sides.

For the first one:

             [tex]7x+3<-4[/tex]

             [tex]7x<-7[/tex]        (subtract 3 from both sides)

              [tex]x<-1[/tex]         (divide 7 from both sides)

and for the second one:

              [tex]2x-3\geq 9[/tex]

               [tex]2x\geq 12[/tex]        (add 3 to both sides)

              [tex]x\geq 6[/tex]             (divide 2 from both sides)

When you graph these they will look like these pictures    

Answer:

[tex]x<-1[/tex] and [tex]x\geq6[/tex]

Step-by-step explanation:

[tex]\bf 7x+3<-4[/tex]

You must subtract 3 from both sides.

[tex]7x+3-3<-4-3\\[/tex]

After subtracting, we got

[tex]7x<-7[/tex]

Let's make it into a fraction and divide

[tex]\frac{7x}{7}<\frac{-7}{7}[/tex]

Now we got the answer

[tex]x<-1[/tex]

[tex]\bf 2x-3\geq 9[/tex]

You must add 3 to both sides.

[tex]2x-3+3\geq 9+3[/tex]

After adding, we got

[tex]2x\geq 12[/tex]

Let's make it into a fraction and divide

[tex]\frac{2x}{2} \geq \frac{12}{2}[/tex]

Now we got the answer

[tex]x\geq 6[/tex]

Your answer is [tex]\bf x<-1[/tex] or [tex]\bf x\geq 6[/tex].

Answer:

Since it's a 30-60-90 triangle, the hypotenuse should be  

6 √ 3

and the short leg is  

3 √ 3

Step-by-step explanation:

Ratio:

Short side:  1  

Hypotenuse:  2

Long Side:  √ 3

Answer:

-3 = 15+4y

4y = 12

y = 3.......

Answer:

1  :2

Step-by-step explanation:

12 are yellow, 4 are pink

To find the number of red

24 -12 -4 = 8

There are 8 red balls

We want the ratio of

red: yellow or pink

8 : 12+4

8 :16

Divide each side by 8

8/8 : 16/8

1  :2

Answer:1:2

Step-by-step explanation: 12 yellow + 4 pink= 16

24 balls total minus 16 =8 red balls so 8:16=1:2

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r

Answer:

[tex]\boxed{5}[/tex]

Step-by-step explanation:

[tex](p-q)(2)[/tex]

[tex]p(2)-q(2)[/tex]

[tex]\sf When \ x \ is \ 2, \ p(x) \ is \ 3 \ and \ q(x) \ is \ -2.[/tex]

[tex](3)-(-2)[/tex]

[tex]3+2=5[/tex]

Answer:

1 point should be located before 4 points below C.

1 point should be located before 4 points above B.

1 point should be located at point A.

Answer:

A = 6.9%

B = 0.1%

AB = 1.6%

Step-by-step explanation:

A=0.41=41/100

B=0.1=1/10

AB=0.25=1/25

41/100³ = 0.41³ = 0.069 = 6.9%

1/10³ = 0.1³ = 0.001 = 0.1%

1/25³= 0.25³ =0.016 = 1.6%

I did to the power of 3 because the equation just looks like this

41/100 x 41/100 x 4/100

this is because you are multiplying each number by the amount of students selected.

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)

To find f-¹(x) equate f(x) to y

That's

f(x) = y

y = 4x + 12

Next interchange the terms x becomes y and y becomes x

That's

x = 4y + 12

Next make y the subject

4y = x - 12

Divide both sides by 4

Therefore

Hope this helps you

Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.

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

Part B will have you replace x with 8 and simplify

length = x+15 = 8+15 = 23

width = x+3 = 8+3 = 11

the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards

Answer:

Below

Step-by-step explanation:

As we see the area is expressed as second degree polynomial

We have already a side wich is (x+15)

● x^2 +18x + 45 = w × (x+15)

● w = (x^2 +18x+45)/(x+15)

Using the eucledian division we get:

● w = x+3

Since x^2 +18x +45 = (x+15) × (x+3)

So your answer was right

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the dimensions if x= 8 yards

● the length

x+15 = 8+15 = 23 yards

● the width

x+3 = 8 + 3 = 11 yards

● the area

(x+15)×(x+3) = 23 × 11 = 253 yards^2

Answer:

190 g

Step-by-step explanation:

Mass     =Density

Volume

Let the mass be x.

x/200=0.95

x=200 x 0.95

x =  190 g

Thank you!

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.

Then the total number of the event will be

Total event = 7 + 9 + 3 + 6

Total event = 25

The probability of getting a yellow chip will be

Favorable event = 3 {yellow chip}

Then the probability will be

P(Y) = 3 / 25

The probability of getting a blue chip will be

Favorable event = 6 {blue chip}

Then the probability will be

P(B) = 6 / 25

Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be

P = P(Y) x P(B)

P = (3/25) x (6/25)

P = 18 / 625

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

see below

Step-by-step explanation:

It would take 3 faucets 6/4 = 1.5 minutes to fill a 25-gallon tub since when the number of faucets stays the same, the volume of the tub and the time needed to fill the tub are directly proportional. However, when the volume of the tub stays the same, the number of faucets used and the time needed to fill the tub are inversely proportional, therefore, if I double the number of faucets used, it will half the time needed, so the answer is 1.5 / 2 = 0.75 minutes or 45 seconds.

Answer:

[tex]\large\boxed{45 seconds}[/tex]

Step-by-step explanation:

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

Variable Key

Faucets = f

Minutes = m

Gallons = g

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

Write an equation to display how long it takes for the 3 faucets to fill up a 100 gallon tub.

100g = 6m

Divide both sides of the equation by 6

m = 16.67g

This means that approximately 16.67 gallons are filled up per minute with 3 faucets. We found the measurement (gallons), which is based on the time (minutes). This is called the unit rate.

Now that we found the unit rate for 3 faucets, let's find the unit rate for 6 faucets by multiplying our unit rate by 2.

3f = 16.67g per minute

6f = (16.67g per minute)(2)

6f = 33.34 g per minute

We now know the unit rate for 6 faucets, so now all we have to do is divide that by 25 gallons, the second tub.

25g / 33.34 g = 0.75 minutes

Convert to seconds

0.75 minutes = 3/4 of a minute

1 minute = 60 seconds

Substitute

3/4(60)

[tex]\large\boxed{45 seconds}[/tex]

Hope this helps :)

Answer:

A = 56.5cm²

Step-by-step explanation:

r = 1.5cm

h = 4.5cm

A=2πrh+2πr2

A = 2πr(h+r)

A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )

A = 56.62cm²

[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]

[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]

[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]

For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)

Where, r = radius of the cylinder and h is the height of the cylinder.

[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]

We are provided with,

Then, Radius = 1.5 cm / 2

By using formula,

⇛ 2πr(r + h)

⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²

⇛ 2 × 3.14 × 3/4( 5.25) cm²

⇛ 24.7275 cm²

❇ Option B

✤ TSA of the cylinder = 24.7275 cm²

━━━━━━━━━━━━━━━━━━━━

Answer:

x = 13

Arc RQ = 180°

Step-by-step explanation:

PEQ is an inscribed angle and the measure of an inscribed angle in a circle is equal to half of the arc it sees.

The perimeter of a circle is always 360° therefore

2 × (5x + 15) + 9x + 17 + 6x - 12 = 25x + 35 = 360°

25x = 360 - 35

25x = 325

x = 13

Since arc RQ is equal to 10x + 30 we replace x with the value we just got

10×13 + 30 = 160°

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.

The use of square brackets in interval notation says "include this endpoint as part of the interval".

Answer:

Step-by-step explanation:

You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:

Hope this helps!

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.

Given :

[tex]\rm f(x) = \sqrt{x+5}[/tex]

The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:

Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].

Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.

Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

Answer:

  125 in²

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

Answer: The Surface Area is 125 in^

Step-by-step explanation:

Surface area = 4 × (area of 1 face) + (area of base)

total area = 4 × (25 in²) + 25 in²

Surface area = 125 in²

Answer:

y=x+2

Step-by-step explanation:

Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2

Answer:

see below

Step-by-step explanation:

will make it simple.

1 unit up : y = |x+2| + 1

1 unit down : y = |x+2| - 1

1 unit to the left : y = |x + 3|

1 unit to the right : y = |x+1|

hope it helps.  if its wrong, then please report it wo we can delete of correct it.