Answer:
Vertical intercepts: (-2,pi/2) and (-10,pi/2)
Horizontal intercepts: (4,0) and (-4,0)
Step-by-step explanation:
I took the test and got it right.
The required horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
To find the horizontal intercept(s) of the limacon, we need to set r equal to zero and solve for theta.
r = 4 - 6sin(Ф)
0 = 4 - 6sin(Ф)
6sin(Ф) = 4
sin(Ф) = 4/6
sin(Ф) = 2/3
We can use an inverse sine function to find the value of theta:
Ф= sin^-1(2/3)
Ф≈ 41.81° or 138.19°
These are the values of theta where the limacon crosses the x-axis (horizontal intercepts).
To find the vertical intercept(s), we need to set theta equal to zero or pi and solve for r.
When Ф= 0:
r = 4 - 6sin(0)
r = 4
So the limacon intercepts the y-axis at (0, 4).
When Ф= pi:
r = 4 - 6sin(pi)
r = 10
So the limacon intercepts the y-axis at (0, -10).
Therefore, the horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).
Learn more about intercept here:
https://brainly.com/question/3605446
#SPJ3
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explain
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
the correct answer is a.
Please find the area of the shaded region. Assume the outside shape is a square. 30 m 15 m 45 m
Answer:
Shaded region is the difference of the areas of the parallelogram and the square:
A = 45*30 - 15² = 1125 m²Answer:
area of shaded region=1125m²
Solution given:
base of parallelogram [b]=45m
height of parallelogram [h]=30m
length of square [l]=15m
we have
Area of shaded region =Area of {parallelogram -square]
=b×h-l²=45×30-15²=1125m²
HELP PELASEKDMDDJJDDJD
Answer: A line segment
Explanation:
Since the line is straight, line segment for me. Hope it helps!
Answer:
A line
Step-by-step explanation:
Roughly, we can say that a line is an infinitely thin, infinitely long collection of points extending in two opposite directions. When we draw lines in geometry, we use an arrow at each end to show that it extends infinitely.
Jim rented a truck for one day. There was
base fee of $17.95, and there was an additional charge of 87 cents for each mile driven, Jim had to pay $153.67
when he returned the truck. For how many miles did he drive the truck?
Answer:
Jim drove the truck 156 miles
Step-by-step explanation:
Represent the number of miles driven with x.
Then the formula for the total rental cost is C(x) = $17.95 + ($0.87/mile)x, and this comes to $153.67. Solve for x:
$153.67 - $17.95 = ($0.87/mile)x, or
$135.72 = ($0.87/mile)x
Dividing both sides by ($0.87/mile), we get:
x = 156
Jim drove the truck 156 miles
57:23
A medical researcher has two petri dishes containing viruses. Dish B has a population density of 1.2 viruses per square
millimeter. Dish A has an area of about 2,826 square millimeters
If both petri dishes have the same population density, approximately how many viruses are in Dish A?
O
O
O
O
2,355 viruses
3,391 viruses
23,550 viruses
33,912 viruses
Save and Exit
Neyli
Submit
Mark this and retum
Answer:
the number of viruses are in Dish A is 3,391 viruses
Step-by-step explanation:
The computation of the number of viruses are in Dish A is shown below:
Since there are 2826 square milimeters area
And, the population density of 1.2 viruses per square
So, the number of viruses in Dish A is
= 2826 × 1.2
= 3,391.2v viruses
Hence, the number of viruses are in Dish A is 3,391 viruses
The answer is B. 3,391 viruses
Good luck :)
Lindsay got her haircut the cost of a haircut for $16 if she wants to tip for hairstylist 20% how much does she leave for the tip
Answer:
$3.20
Step-by-step explanation:
I hope this helps.
Sorry if I'm wrong.
Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hour and 20 minutes?
Answer:
Distance = x = 5 km
Step-by-step explanation:
Let the distance be x
one hour and 20 minutes can be written in fraction = 1 1/3 = 4/3
Now we wil develop the equation
[tex]x/6+x/10=4/3\\[/tex]
30 is the common multiple and can be multiplied on both sides for simplification.
equation will be reduced to
[tex]5x+3x=40[/tex]
Solving for x
[tex]8x=40\\x=5[/tex]
I need help with that
Answer:
the triangle with 15 mini-squares
the are of the trapezoid is 24 Square km . What is the height?
2km
4km
16km
5km
Answer:
4
Step-by-step explanation:
9+3=12
12x1/2=24
24/6=4
h=4
Height of trapezoid is,
⇒ h = 4 km
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The area of the trapezoid is 24 Square km.
We know that;
Area of Trapezoid = (a + b) h / 2
Here, A = 24 km² , a = 3 km , b = 9 km
Hence, We get;
24 = (3 + 9) h / 2
48 = 12h
h = 48 / 12
h = 4 km
Thus, Height of trapezoid is,
⇒ h = 4 km
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
Please help me. I am confused.
Answer:
Step-by-step explanation:
100% - 75% = 25% = 0.25
x² = 16² × 0.25 = 64
x = 8
A new car is purchased for $26,000 and over time its value depreciates by one half every 5 years. What is the value of the car years after it was purchased to the nearest hundred dollars?
Answer: $6,500
Step-by-step explanation:
Question says after 10 years.
The value of the car depreciates by 1/2 every year which is 50%, every 5 years.
In 10 years therefore, the car would have depreciated by half of its value, twice.
Use the future value formula:
= Amount * (1 + rate) ^ no. of periods
= 26,000 * ( 1 - 50%)²
= $6,500
Note: There are two periods because the depreciation is every 5 years and 10 years have gone by so the number of periods is: 10 / 5 = 2 periods
PLEASE HELP with question 7! BRAINLIEST to correct answer!!!!
Answer: rasie 13 to 3/4
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
132.7
Step-by-step explanation:
If a solid has faces that consist of a pair of congruent hexagons and 6 congruent rectangles, what type of solid is it?
Answer:
Hexagonal Prism
easy question!!
1. What is the surface area of a rectangular prism with a height of 8 feet, a width of 3 feet, and a length of 4 feet?
288 ft2
160 ft2
136 ft2
264 ft2
Answer:
136 ft^2
Step-by-step explanation:
Surface area = 2 [ (l*w) + (l*h) + (w*h) ]
= 2 [ (8*3) + (8*4) + (4*3) ]
= 136 ft^2
_______
|/ |
| (_)
| \|/
| |
| / \
|
jgs_|___
Answer:
B
Step-by-step explanation:
write an equation that describes the line: a line has a slope of 2 and passes through thr point (3, 13)
Answer:
y=2x+7
Step-by-step explanation:
y=mx+b is the formula
y=(2) × x+b
y= (2)×(3)+b
y=(2)×(3)+b
b=7
Equation: y=2x+7
Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.
Answer: a^+b^2=n^2
Step-by-step explanation:
The equation for triangle 2 will be: a² + b² = n².
What is Pythagorean theorem?
Pythagorean theorem states that for a right-angle triangle, the sum of the squares of the base and the height is equal to the square of the hypotenuse of that triangle.
Here, the angle between side: a and side: b is a right-angle.
Therefore, we can consider side: a as the height and side: b as the base of the triangle.
Therefore we can write as per the Pythagorean theorem:
(Base)² + (Height)² = (Hypotenuse)²
Hence, a² + b² = n²
Learn more about Pythagorean theorem here: https://brainly.com/question/23936129
#Tag #SPJ2
Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week? *
Answer:
60 dollars a week.
Step-by-step explanation:
Just take 15 percent of 400, then you get your answer
HELP PLS: A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective.
A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1
through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players.
The results are given.
13 2,195 3,873 525 900 1 67 1,094 1,472 709 5,000
Based on the sample, how many of the MP3 players might the clerk predict would be defective?
Answer: 1,000 players
Step-by-step explanation: The result has two values between 1 through 300
out of the 10 value in the sample so the clerk would predict 5,000 *[tex]\frac{2}{10}[/tex]=1,000 defective players.
How many more students read exactly 6 books than those who read less than 4 books?
can someone explain how to do this?
Answer: a - parallel b - neither c - neither d - perpindicular
Step-by-step explanation:
help thank you very much
Answer:
B: 76
Step-by-step explanation:
I have to put an explanation.I don't have an explanation.
Expressions with Irrational Numbers: Mastery Test 1 Type the correct answer in the box. The product of 2/3 and 3v12 in simplified form is Reset
Answer:
[tex]$\frac{1}{6}$[/tex]
Step-by-step explanation:
Expressing the irrational numbers into its simplified form :
Given :
The product of [tex]$\frac{2}{3}$[/tex] and [tex]$\frac{3}{12}$[/tex]
Therefore,
[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]
[tex]$=\frac{2}{12}$[/tex]
[tex]$=\frac{1}{6}$[/tex]
So the simplified form is [tex]$\frac{1}{6}$[/tex]
question 7 ! I don’t understand some one explain
Answer:
4x +8 -x + 10 = x+4
3x+18= x+4
2x= -14
×=-7
Choose the graph with a slope of 1/2
Answer:
d has is the graph with the slope of 1/2.
Step-by-step explanation:
the rise over run from point to point is how you determine the slope.
i hope this helps :)
Here are the ingredients for making fish pie for 6 people.
Fish pie for 6 people
180 g flour
240 g fish
80 g butter
4 eggs
180 ml milk
Jill makes a fish pie for 3 people. Work out how much flour she needs.
Step-by-step explanation:
Given
6 people = 180g flour
1 person = 180/6 = 30g flour
3 people = 3 x 30 = 90g flour
What is y +9 =2(x +5) in slope intercept form?
Answer:
y=2x+1
Step-by-step explanation:
the form us y=mx+c
Answer: y = mx + b. y = -7
Step-by-step explanation: Hope this helps.
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
and had 1.35 ounces left in total. Which describes a way to determine the number of ounces
sold in each tube of glue?
Divide 1.35 by 3 and then subtract 0.27 from the quotient.
Solve for in the equation 3 (x - 0.27) = 1.35.
Solve for x in the equation 3x - 0.27 = 1.35.
Subtract 0.27 from 1.35 and the divide the difference by 3.
Answer:
The answer is (A)
Step-by-step explanation:
:D
Answer:
Solve for in the equation 3 (x- 0.27)= 1.35
Step-by-step explanation:
First you look at a diagram and notice that you are moving forward so you are multiplying the 3 pack of tubes by the 0.27 ounce of glue to get your answer of 1.35
Which pair of Earth's sphere's interact the most when ocean waves break onto a beach?
atmosphere and blosphere
geosphere and atmosphere
hydrosphere and biosphere
geosphere and hydrosphere
Answer:
Step-by-step explanation:
The answer is geosphere and hydrosphere
