A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answer:
18
Step-by-step explanation:
Solve for the x.
Assume the segments that appear to be tangent are tangent.
4.5 i think im really not sure check with someone else before answering
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each
cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.
He thinks he will get more than £1.50 in change.
Is Dave correct?
You must show how you get your answer.
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
https://brainly.com/question/503551
#SPJ4
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
Learn more about a function on:
https://brainly.com/question/10439235
PLEASE HELP
Find the measure of the numbered angles
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
Mark can buy 15 tea bags for $3. What is the unit rate of price per bag? At that rate, how many tea
bags could he buy for $20?
Answer:
Unit Rate:5 teabags for 1$
teabags for $20: 100
Step-by-step explanation:
make 3/15 a fraction
simplify
multiply 20 times 5
please help!!! i have been doing bad in math right now .
Solve the equation x2 + 4x − 11 = 0 by completing the square. Fill in the values of a and b to complete the solutions.
Answer:
x = - 2 -[tex]\sqrt{15\\[/tex]
x = - 2 + [tex]\sqrt{15[/tex]
Step-by-step explanation:
The given equation needs to be solved by completing the squares.
The required values are -2+√15, -2-√15
Completing the squaresThe given equation is [tex]x^2+4x-11=0[/tex]
The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]
Comparing with the given equation we have
a = 1
b = 4
c = -11
Rearranging the equation
[tex]x^2+4x=11[/tex]
Finding (b/2)²
[tex](\dfrac{4}{2})^2=4[/tex]
Adding to both sides of the equation
[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]
Learn more about completing the squares:
https://brainly.com/question/24860429
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
Pls pray for me of this is the last one-
Help me with this!!!
Answer:
yes
Step-by-step explanation:
HELP ASAP WILL GIVE LOTS OF POINTS AND YOUR ANSWER MUST BE REAL OR ELSE I WILL NOT GIVE POINTS
The virus the suspect created was initially exposed to 5 people, and it spreads at a rate of 51.2% each week. The weight of the suspect is equal to the number of people who will be infected by week 9. (Round to the nearest whole number.) what is the question used to find the weight
Answer:
I dont know
Step-by-step explanation:
and thats not how it works
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Hellohello, if you able to help me then please do. (:
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
Math riddle here
The sum of all the four numbers is 31.
Only one of number is odd.
The subtraction of the lowest number from the highest number is 7.
If you subtract two of the middle numbers, it equals two.
What four numbers am I thinking of ?
Answer:
15+8+6+2=31
Step-by-step explanation:
highest no. is 15
15-7=8
31-15-8=8
middle number 8
8-6=2
CHECK: 15+8+6+2=31
i don't know if my answer is right haha
i checked online it says the answer is 5,6,8,12
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?
Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!
Answer:
The 3rd one
Step-by-step explanation:
The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.
Answer:
the third one sorry couldn't answer here sooner!
Step-by-step explanation:
-Ash
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
Complete Question:
A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.
What is the area of the base of the pedestal?
Answer:
45 square feet
Step-by-step explanation:
Given the following data;
Volume of pedestal = 405 ft³
Height of rectangular prism = 9 ft
To find the area of the base of the pedestal;
Volume of pedestal = base area * height
405 = base area * 9
Base area = 405/9
Base area = 45 square feet.
Therefore, the area of the base of the pedestal is 45 square feet.
Answer:
45 square feet
Step-by-step explanation:
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
Suppose a vertebrate has a disease that affects its skeleton.
Which sentence best describes a difficulty the vertebrate may have?
A. It would have difficulty interpreting information.
B. It would have difficulty circulating blood.
C. It would have difficulty moving.
D. It would have difficulty breathing.
Answer:
If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3
btw I love ur connie pfp- :3
Step-by-step explanation:
:3
Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:
Answer:
Independent: Number of cups he sells
Dependent: Amount of money he makes
Step-by-step explanation: