18. What is the slope of the line that passes through
the points

well, if the hemisphere has a diameter of 8, that means its radius is half that or 4, hmm let's find the volume of a Sphere with such a radius, then let's halve it.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3} \\\\\\ \stackrel{\textit{now let's get half of that for the hemisphere}}{V=\cfrac{1}{2}\cdot \cfrac{4\pi (4)^3}{3}\implies V=\cfrac{128\pi }{3}}\implies \boxed{V\approx 134.0}[/tex]

Answer: -4rootx+3root3x

Step-by-step explanation:

think of the expression under the radicals as like terms, you can only add those that are the exact same 1-5=-4(rootx) can't do anything with the middle

Rounding to the closest hundredth, the final result is 12.16 mL, which is the amount of the drug that should be administered.

The patient's weight must first be converted from pounds to kilograms.

1 lb = 0.453592 kg

Therefore, 134 lb = 60.78 kg

The dose must then be determined depending on the patient's weight:

60.78 kg times 5 mg/kg equals 303.9 mg.

Now that we know the medication's concentration, we need to determine how much to deliver.

25 mg/mL x 125 mg/5 mL

The dosage for 303.9 mg is as follows:

303.9 mg x 25 mg/mL = 12.16 mL

The final result, rounded to the closest hundredth, is 12.16 mL.

To learn more about hundredth follow the link:

https://brainly.com/question/30528804

#SPJ1

The actual distance between the two cities is  [tex]7\frac{1}{2}[/tex] miles .

A scale drawing is the reduced version of a larger image. The scale drawing is reduced at a constant proportion to the original image using a scale. An example of a scale drawing is a map of the city.

Actual distance between the cities can be determined by multiplying the distance in the scale drawing by the scale.

Actual distance = 1[tex]\frac{1}{2}[/tex] x 5

= [tex]\frac{3}{2}[/tex] x 5 = [tex]\frac{15}{2}[/tex] = [tex]7\frac{1}{2}[/tex] miles

To learn more about scale drawings, please check: https://brainly.com/question/26151199

#SPJ1

Answer:correct answer is 0.57

5.71

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

3u^2 + 7u - 8 = 0

Now we can factor the quadratic:

(3u - 1)(u + 8) = 0

Therefore, either:

3cos(θ) - 1 = 0

cos(θ) = 1/3

or:

cos(θ) + 8 = 0

cos(θ) = -8 (not possible, since cos(θ) is between -1 and 1)

So, we have cos(θ) = 1/3. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos(1/3)

Using a calculator, we find:

θ ≈ 1.2309 or θ ≈ 5.1102

Therefore, in radians, the solutions for θ are approximately:

1.2309 (which is less than 2π)

5.1102 (which is greater than 2π)

So the only answer that satisfies 0 ≤ θ < 2π is:

1.2309 (rounded to four decimal places)

Therefore, the answer is:

The area of triangle ABC is :  33.44 cm²

The area of a triangle is the region enclosed within the sides of the triangle. The area of a triangle varies from one triangle to another depending on the length of the sides and the internal angles. The area of a triangle is expressed in square units, like, m2, cm2, in2, and so on.

We have the information from the question is:

In triangle ABC :

AB=6 cm,

AC=15 cm, and

m ∠A=48°.

We have to find the area of Triangle ABC

Area of triangle is : 1/2 × bc × (SinA)

Area of Triangle = 1/2 × 6 × 15 × (Sin 48° )

We know the value of Sin 48° is 0.7431

Area of Triangle = (1/2) × 66.88

Area of triangle = 33.44 cm²

Learn more about Area of triangle at:

https://brainly.com/question/19305981

#SPJ1

The diameter of the circle is 396 units.

The length of the arc is 0.83π units.  

The length of an arc of a circle is given by the formula:

L = θ/360 * πd

where θ is the measure of the angle and is the diameter of the circle

Given: θ = 80° and L = 88π

L = θ/360 * πd

88π = 80/360 * π * d

88 = 80/360 * d

80 * d = 88 * 360

80d = 31680

80d = 31680/80

d = 396 units

PART 2

If  θ = 25°, r = 6 (from the image above). Thus, d = 2 * 6 = 12

L = θ/360 * πd

L = 25/360 * π * 12

L = 0.83π units

Learn more about length of arc on:

https://brainly.com/question/30582409

#SPJ1

Answer:

the answer for part A is. 5

the absolute deviation is. 1

Step-by-step explanation:

to find the answer for part A add all numbers and divide it by 8

For part B

4-5= |-1|= 1

3-5= |-2|= 2

4-5= |-1| =1

5-5= |0| =0

6-5= |1 | =1

6-5= |1 | =1

8-5= |3| =3

5-5= |0| =0

Then add all the number and divided them by 8

MAY I GET BRAINLIEST

The horizontal and vertical translations that map triangle XYZ onto its image, triangle X'Y'Z' include the following: C. right 3; down 5.

In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

In order to map the two triangles, we would have to apply a vertical translation to f(x) by 5 units down and a horizontal translation by 3 units right.

Read more on translation here: brainly.com/question/4521517

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The inequality that represents the sentence "The stadium held less than 25,000 people" is given as follows:

c < 25,000.

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

The amount is less than in this problem, hence the symbol is given as follows:

<.

As the amount is less than 25000, the inequality is given as follows:

c < 25,000.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

The point of intersection between a Inverse Functions and its inverse occurs at (2, 2).

The point of intersection between a function and its inverse occurs when the input and output values are the same for both functions.

To find the point of intersection, we need to find the value of x where f(x) = f-1(x).

In this particular case, we can see from the graph that the point of intersection occurs at (2, 2).

Learn more about Inverse Functions here:

https://brainly.com/question/35491336

#SPJ2

The exact value of tan2θ in simplest radical form is  -21/√7.

The value of tan2θ at the given quadrant is calculated as follows;

From Pythagorean identity, we know that;

sin² θ + cos² θ = 1

cos² θ is calculated as follows;

(3/4)² + cos² θ = 1

9/16 + cos² θ = 1

cos² θ = 1 - 9/16

cos² θ = 7/16

cos θ = √(7/16)

The value of tan θ is calculated as follows;

tan θ = sin θ / cos θ = 3/4 x 4/√7 = 3/√7

Now, we will find tan 2θ;

tan 2θ = 2tan θ / (1 - tan² θ)

tan 2θ = 2(3/√7) / (1 - (3/√7)²)

tan 2θ = (6/√7) / (-2/7)

tan 2θ = -21/√7

Learn more about quadrant angle here: brainly.com/question/28587485

#SPJ1

Answer:

[tex]3 \frac{3}{4} \times 4 \frac{1}{2} \times 5 = \frac{15}{4} \times \frac{9}{2} \times 5 = \frac{675}{8} = 84\frac{3}{8} [/tex]

The volume is 84 3/8 cubic meters = 84.375 cubic meters.

The equations to solve the length of the room is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

c) ( y + 25 ) ( y - 30 ) = 0

Given data ,

Let the area of a rectangular room is 750 square feet.

Let the width of the room is 5 feet less than the length of the room

So , on simplifying , we get

w = l - 5

Area of rectangle = length x width

And , A = l x w

A = l ( l - 5 )

750 = y ( y - 5 )

Therefore , the equation is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

On simplifying the quadratic equation , we get

c) ( y + 25 ) ( y - 30 ) = 0

Hence , the length of the rectangular room is solved

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

The complete question is attached below :

Which equations can be used to solve for y, the length of the room? Select three options.

a) y(y + 5) = 750

b) y² – 5y = 750

c) 750 – y(y – 5) = 0

d) y(y – 5) + 750 = 0

e) (y + 25)(y – 30) = 0

The probability that the student is a sophomore, given that they are in work, is given as follows:

P(sophomore|work) = 30%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes for this problem are given as follows:

Hence the probability is obtained as follows:

P(sophomore|work) = 3/10 = 0.3 = 30%.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:3.77

2.51 are correct

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 3u + 7 = 0

Multiplying both sides by -1, we get:

7u^2 - 3u - 7 = 0

We can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 7, b = -3, and c = -7. Substituting these values, we get:

u = (3 ± sqrt(9 + 196)) / 14

u = (3 ± 5sqrt(5)) / 14

Therefore, either:

Answer:

The answer is the second choice.

Step-by-step explanation:

The slope is rise over run, which is 3/-1, which is -3, which goes before the x. The line hits the y axis at -1, so it is -3x–1

Answer:

< - 1, 5 >

Step-by-step explanation:

a = < - 5, 2 >

b = < 4, 3 >

a + b

= < - 5, 2 > + < 4, 3 >

add corresponding elements

= < - 5 + 4, 2 + 3 >

= < - 1, 5 >

The equation of line of reflection of the coordinates is

y = x

Mathematics gives the concept of a line of reflection, otherwise known as a line of symmetry. This line acts as a mirror for any figure, where when shown through its reflection, the image becomes congruent to the initial shape.

In simpler words, the line of reflection is like an invisible partition that accurately segments a figure into two identical halves, each resembling the other in more ways than one.

The image is attached and upon investigation shows that the equation of y = x matches the equation of line of reflection

Li=earn more about line of reflection at

https://brainly.com/question/22342234

#SPJ1

Answer: image below

Step-by-step explanation:

The time required for the amount to double and triple are 19.53 and 30.95 respectively.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

[tex]f(t) = P_{0}e^{rt}[/tex]

Where:

Based on the information provided above, we can reasonably infer and logically deduce that a function for the time required for the amount to double is given by;

[tex]2(1500) = 1500e^{0.0355t}\\\\3000= 1500e^{0.0355t}\\\\2=e^{0.0355t}[/tex]

Taking the natural log (ln) of both sides of the equation, we have:

0.0355t = ln(2)

Time, t = 19.53

Similarly, a function for the time required for the amount to triple is given by;

[tex]3(1500) = 1500e^{0.0355t}\\\\4500= 1500e^{0.0355t}\\\\3=e^{0.0355t}[/tex]

Time, t = 30.95

Read more on compound interest here: https://brainly.com/question/31189719

#SPJ1

Answer:

Carlos did 49 more jumping jacks than John.

Step-by-step explanation:

Carlos = 138

John = 89

138 - 89 = 49

The linear equation outlining the entire volume of water (y) which has coursed through the hourglass following x days. is

The volume of water passed each which is the slope is

To ascertain the amount of water that is passing through the hourglass daily:

where:

Total water capacity: 2000 pounds

Time: 365 days

Water transpiring every day = Total water capacity / Time

Water pervading each day ≈ 200 / 365

Water pervading each day ≈ 5.48 pounds/day

the linear function of the water traveling through the hourglass.

Making x the number of days and y being the total quantity of water which has crossed through the hourglass after x days--as the fluid fluxes at a constant velocity--thus a linear relationship between x and y can be determined.

Every single day (x), the hourglass moves 5.48 pounds of water. This reveals the linear representation of:

y = 5.48x

Learn more about linear function at

https://brainly.com/question/4025726

#SPJ1

The values of x and y are 4 and 2√2

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

tan(tetha) = opp/adj

cos(tetha) = adj/hyp

In the triangle;

y is the opposite to angle 45 and x is the hypotenuse

cos 45° = 2√2/x

1/√2 = 2√2/x

x = 2√2 ×√2

x = 2 × 2 = 4

since the triangle is isosceles,

y = 2√2

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1