Answer:
Object distance, u = -6 cm
Step-by-step explanation:
Given that,
The radius of curvature, R = 15 cm
The radius of the mirror, f = -7.5 cm
We need to find the object's distance from the mirror. The mirror's formula is used to find the object distance such that,
[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{(-7.5)}-\dfrac{1}{30}\\\\u=-6\ cm[/tex]
So, the object distance is 6 cm.
An animal shelter house ferrets, rabbits and dogs. There are 96 animals at the shelter. Of the animals 1/3 are ferrets. 7/8 of the remaining animals are rabbits. How many are dogs? Show your work.
Answer: 8 dogs
Step-by-step explanation:
There are 96 animals in the shelter.
1/3 are ferrets which means that the number of ferrets is:
= 1/3 * 96
= 32 ferrets
Remaining animals:
= 96 - 32
= 64 animals
7/8 of the remaining are rabbits:
= 7/8 * 64
= 56 rabbits
Number of dogs is what is left so:
= 64 - 56
= 8 dogs
what is the median of 18 20 20 21 25 27 28 30 30 and 31
Answer:
the median is 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
first list in numerical order
18,20,20,21,25,27,28,30,30,31
/ / / / / / / /
you are left with 25 and 27 and in-between that is 26 so 26 is the median
11. John puts a fence around his rectangular backyard. The width of his backyard is 10 feet. He
uses 60 feet of fencing material in total. What is the length of his backyard?
Length = 20 ft
If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.
Perimeter formula is ((Width × 2) + (Length × 2))
10 × 2 = 20
20 × 2 = 40
40 + 20 = 60
Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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Rewrite in simplest terms: 4 (d+9) -8 (-3d-3)
Answer:
28d + 60
Step-by-step explanation:
4d + 36 + 24d + 24
28d + 60
First I used distributive property to expand. Then I rewrote my answer into simplest form possible. As we know that two negatives equal postive which is what I did to get the correct answer.
How do you tell if a log graph is growth or decay?
To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.
A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.
If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.
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What is the volume of the cylinder? Do not round your answer. (Use 3.14 for π .)
with:12
hight:15
Answer:
When I used a cylinder calculator I got 6785.84 yd^3
Step-by-step explanation:
Which of the following is not a descriptor of a normal distribution of a random variable? A. The graph of the distribution is symmetric B. The graph is centered around zero C. The graph of the distribution is bell-shaped. D. The graph is centered around the mean
A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.
What is a normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.
An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.
The distribution's mean is another name for the center of the range.
Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.
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Someone!!!! Please help me
I will mark the person brainliest who answers with an actual correct answer
Due soon!!
Answer:
120
Step-by-step explanation:
which values from the set (2,4,6,8,10) make the inequality n + 5 > 10 true ?
Answer: Values; 6,8,10
Step-by-step explanation:
❌ 2 + 5 > 10
❌ 4 + 5 > 10
✔️ 6 + 5 > 10
✔️ 8 + 5 > 10
✔️ 10 + 5 > 10
What is 2 ÷ 2/9 =
THanks :D
Answer:
9
Step-by-step explanation:
hope this helps have a good day
Answer:
9
Step-by-step explanation:
turn it into
2/1 * 9/2 = 18/2 = 9
equivalent expression for 2(x – y)?
Answer:
2(4 - 1)
Step-by-step explanation:
Rosita is waking at a uniform rate of 1 km per 10min. What is the distance she covered in 2 1/2 hours?
How does the parabola open? Is the vertex a minimum or maximum value?
f(x) = 5x²-3x
The parabola is open upward direction. The vertex is the minimum value of the parabola.
What is a parabola?
A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.
Given quadratic function is
f(x) = 5x² -3x
The leading term of the given function is 5x².
The sign of the leading term is positive, thus it is open upward direction.
Rewrite the given function in the form f(x) = a(x - h)² + k
f(x) = 5x² -3x
f(x) = 5( x² - 3/5 x)
f(x) = 5( x² - 3/5 x + 9/100 - 9/100)
f(x) = 5( x² - 3/5 x + 9/100) - 5 × 9/100
f(x) = 5( x - 3/10)² - 9/20
f(x) = 5( x - 3/10)² + (-9/20)
The vertex of the parabola is (3/10, -9/20).
Since the parabola opens upward direction, thus the vertex of the parabole is a minimum value.
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PLEASE I NEED HELP ASAP
A truck travels at a speed of 55 miles per hour. Which representation shows the distance the truck can travel at this rate?
Answer:
The answer is D
Step-by-step explanation:
55 miles multiplied by 1 hour is 55,
55 miles multiplied by 2 hours is 110,
55 miles multiplied by 3 hours is 165,
55 miles multiplied by 4 hours is 220,
and 55 miles multiplied by 5 hours is 275
What are the potential solutions to the equation below? 1ln(x+3)=0
A. x = -3 and x = -4
B. x = -2 and x = -4
C. x = 2 and x = -3
D. x = 2 and x = 4
The potential solutions to the equation are x = -2 and x = -4
What is logarithm ?A logarithm is the power to which a number must be raised in order to get some other number .
The given expression is ln(x + 3) = 0
It can be rewritten as
[tex]ln _e (x + 3) = 0[/tex]
[Since base of a natural logarithm is considered as e]
[tex]e^0 = (x + 3)[/tex]
Since in a logarithmic function if log b with base e = c
Then we further solve the expression to get the possible roots.
x + 3 = 1
x = 1-3
x = -2
Therefore, the potential solutions are x = -2 and x = -4
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please help me with my math
Write the equation of a line that is perpendicular to y=14x - 4 and passes through the point (28, 16)
Write a linear function for the values given in the table below
A function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.
Given an equation y = 14x -4 there is an equation that is perpendicular to this given equation.
from the slope-intercept of a linear equation:
The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
thus the slope of the given equation is 14
The slope of the required equation = 1/14
Since both equations are perpendicular
From the slope intercept of the required line equation of a line:
y = 1/14x + c...(2)
Since, it passes through the point (28, 16)
Thus, 16 = 1/14 *28 + c
c = 16
from equation 2
y = 1/14 x + 14
from the table, two given coordinates of a linear function are (4, 36) and (6, 56)
thus slope of the line = (y₂ - y₁) / (x₂ - x₁)
Slope of the line = 20/2 = 10
Equation of a line:
y = 10x +c
Since, it passes through the point (4, 36)
Thus, 36 = 40 + c
c = -4
Therefore, the required equation from the table is y = 10x - 4
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Mrs. Hana paid for 30 tickets that cost $7 and $5 with $200. She was given $14 in charge. How many $7 movie tickets did she buy?
Solve it in Singapore Math-Using Models
Answer:
18 tickets at $7
Step-by-step explanation:
You want a "Singapore Math" model solution to the number of $7 tickets Mrs. Hana bought if she got $14 change from $200, and she received a total of 30 tickets, some of which cost $5 each.
ModelThe attachment shows the model we decided upon. Starting from $200, we subtract $14 in change, then divide the remainder into tickets costing $7 each and tickets costing $5 each. The point where the total number of tickets is 30 is the point that identifies the solution.
Mrs. Hana bought 12 tickets at $5 each, and 18 tickets at $7 each.
__
Additional comment
Most illustrations of Singapore Math models are solving for a single variable. Here, we must choose values for two variables (the numbers of $5 and $7 tickets) so the intended model isn't clear.
The model we have used is adequate for the purpose, but tedious to construct. It requires us to identify the point at which the count of $7 tickets (top bar) and the count of $5 tickets (bottom bar) has a sum of 30.
Find the value of x.
2x-8
6
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent.
[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]
Use the commutative property to create equivalent expressions. Which expressions are equivalent to 2.2t + 3.5 + 9.8? Check all that apply.
3.5 + 2.2t + 9.8
3 + 2t + 9
2.2 + 3.5 + 9.8t
9.8 + 3.5 + 2.2t
2.2t + 9.8 + 3.5
2.2t + 35.98
hurry plz
Answer:
A D and E
Step-by-step explanation:
I did it on e2020 and it was right
Answer:
The correct answers are:
A: 3.5 + 2.2t + 9.8
D: 9.8 + 3.5 + 2.2t
E: 2.2t + 9.8 + 3.5
Step-by-step explanation:
Hope this helps!
Find x
1.5
0.9
Ifkdkxnfjcjxnfdkmdxn
Answer:
Step-by-step explanation:
Remark
You are trying to find one of the legs of a right triangle. All you need is the Pythagorean Theorem.
Formula
x^2 + y^2 = c^2
Givens
x = ?
y = 0.9
c = 1.5
Solution
x^2 + 0.9^2 = 1.5^2
x^2 + 0.81 = 2.25 Subtract 0.81 from both sides
x^2 = 2.25 - 0.81
x^2 = 1.44 Take the square root of both sides
sqrt(x^2) = sqrt(1.44)
x = 1.2
On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend continues each day. Write an equation modeling the views, v, as a function of time. What would be the day when more than 20,000 people will see the video
Answer:
Day 13
Step-by-step explanation:
The question can be represented with a geometric sequence
Where,
a = 5
Common ratio , r = 2
v(t) = a * r^(t - 1)
v(t) = 5 * 2^(t-1)
20,000 = 5 * 2^(t-1)
Divide both sides by 5
20,000 / 5 = 5 * 2^(t-1) / 5
4,000 = 2^(t-1)
2^12 = 2^(t-1)
12 = t - 1
12 + 1 = t
t = 13 days
What would be the day when more than 20,000 people will see the video
Check:
v(t) = 5 * 2^(t-1)
= 5 * 2^(13-1)
= 5 * 2^12
= 5 * 4,096
= 20,480
Therefore,
The day when more than 20,000 people will see the video is day 13
HELP! Urgent! What is the answer.
Answer:
ioujyghfdgtrssssfhyjukh
Step-by-step explanation:
Two sectors of a circle of radius $12$ overlap as shown, with $P$ and $R$ as the centers of the respective circles. Determine the area of the shaded region.
The area of the shaded region is 26.088 sq units.
A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced out from the center.
The radius of a circle is measured from the center to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.
Area of a 60-degree sector of a circle with radius 12 = 60/360 pi 12^2 Since, there are two of these minus the area of equilateral triangle = sqrt3 /4 12^2 = 60/360 pi 12^2 * 2 - sqrt3 /4 12^2 *2 = 26.088 sq units
Thus, the area of the shaded region is 26.088 sq units.
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A hexagon has angles that measure 155°, 80º, 1150, 160°, 110°, and c. What is c?
No links!! I repeat NO links!!
Answer:
c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100
Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.
Answer:
C,A, and F
Step-by-step explanation:
the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps
What do you call the angle measures 90 180 and 270?
An angle that measures 90 degrees is called a right angle, an angle that measures 180 degrees is called a straight angle and an angle that measures 270 degrees is called a reflex angle.
A right angle is an angle that measures exactly 90 degrees. It is formed by the intersection of two lines that are perpendicular to each other. A right angle is symbolized by a small square at the vertex of the angle.
A straight angle is an angle that measures exactly 180 degrees. It is formed by the intersection of two lines that are collinear, that is, they lie on the same line. A straight angle is represented by a straight line, usually with an arrow on one end pointing in the direction of the other end.
A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is formed by the intersection of two lines that are not collinear, that is, they don't lie on the same line and the angle is greater than a straight angle. A reflex angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
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please help me!! i’ll give brainliest the the best answer
Answer:
C will be the answer for this
What i the lope of the line through (-9,6)(−9,6)left parenthei, minu, 9, comma, 6, right parenthei and (-6,-9)(−6,−9
The slope of the line through (-9,6) and (-6,-9) is -5
Now, According to the question:
Let's know:
What is slope and example?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The formula for the slope of a line when two points (coordinate pairs)
[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are given is :
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] , where m denotes the slope of the line.
Applying this formula, we get:
[tex]m = \frac{-9-6}{-6-(-9)}[/tex]
[tex]m = \frac{-15}{-6+9}[/tex]
m = [tex]\frac{-15}{3}[/tex]
m = -5
Hence, The slope of the line through (-9,6) and (-6,-9) is -5.
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The complete question is this:
What is the slope of the line through (-9,6) and (-6,-9) ?