Answer:
0-10: 1
11-20: 4
21-30: 7
31-40: 5
41-50: 3
51-60: 2
61-70: 3
Answer:
Histogram:
7 x
6 x
5 x x
4 x x x
3 x x x x x
2 x x x x x x
1 x x x x x x x
0-10|11-20|21-30|31-40|41-50|51-60|61-70
Frequency Table:
0-10: |
11-20: ||||
21-30: |||||||
31-40: |||||
41-50: |||
51-60: ||
61-70: |||
ill give you brainliest
Answer:
376.8 ft²
Step-by-step explanation:
that is the correct answer for you friend
graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
for such more question on parabola
https://brainly.com/question/9201543
#SPJ8
If you have a 93% in your math class and then you get an 88% on a test that is worth 80% what will your new grade be?
if you have a 90 th you get in
What does-45 ÷ -5 equal?50-9- 509
Recall that:
\(-45=(-1)(45)\)and
\(-5=-1(5)\text{.}\)Therefore:
\(\frac{-45}{-5}=\frac{-1}{-1}(\frac{45}{5})\text{.}\)Simplifying the above fraction we get:
\(\frac{-45}{-5}=1(9)=9.\)Answer:
\(9.\)During the winter, if the low temperature outside is a °C, the daily cost to heat a
building can be determined using the function f(x) = 5 (1.3) * . Find and
interpret the given function values and determine an appropriate domain for the function.
round all function values to the nearest hundredth.
f:7)= __, meaning when the low temp outside is __ celsius it would cost $__ to heat the building. this interpretation _______________ in the context of your problem.
f(9.5)=___, meaning when the low temp outside is ___ celsius it would cost & __ to heat the building. this interpretation _______________ in the context of the problem.
based on the observations above it is clear that an appropriate domain for the function is —————
PLEASE HELP
The values of the function are 5 and 1.5 and the domain is,
⇒ - ∞ < x < ∞
Here, The equation of the function is given as
f(x) = 5 (1.3)ˣ
The above function is an exponential function.
An exponential function is represented as
f(x) = abˣ
Where
a represents the initial value, b represents the rate of growth or decay
While x and f(x) are the input and output values
Hence, By comparison, we have
a = 5 and b = 1.3
This means that the function values are 5 and 1.3.
Since, the function is an exponential function.
The domain of an exponential function is the set of all real values
Hence, the domain of f(x) is the set of all real values.
Read more about exponential function at
brainly.com/question/11464095
#SPJ1
Refer to the following distribution of commissions:Monthly Commissions Class Frequencies$600 up to $800 3800 up to 1,000 71,000 up to 1,200 111,200 up to 1,400 121,400 up to 1,600 401,600 up to 1,800 241,800 up to 2,000 92,000 up to 2,200 4For the preceding distribution, what is the midpoint of the class with the greatest frequency?O 1,500O 1,700O The midpoint cannot be determined.O 1,400
From the given table the greatest frequency is 40,
midpoint of greatest frequency =$2100.
Relative frequency is also referred to as the empirical probability, which is calculated by the division of each frequency by the total number of frequency in the sample.
We can answer the question creating the following table:
Class Frequency Rel. Frequency
$600-$800 3 3/120=0.025
$800-$1000 7 7/120=0.059
$1000-$1200 11 11/120=0.092
$1200-$1400 22 22/120=0.183
$1400-$1600 40 40/120=0.333
$1600-$1800 24 24/120=0.2
$1800-$2000 9 9/120=0.075
$2000-$2200 4 4/120=0.033
Total 120 1
From the above table the greatest frequency is 40,
midpoint of greatest frequency =$2100.
learn more about frequency.
https://brainly.com/question/8069952
#SPJ4
Three times a number increased by one is between negative eight and seven find all the numbers.
All the numbers that makes the statement true are given by?
Please hurry this is on my exam
This is about absolute value inequalities.
The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}
Let the number in the question be x.We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.
Thus;
3x + 1 > -8 - - - (eq 1)
3x + 1 < 7 - - - (eq 2)
Let's find range of x from eq 1;3x + 1 > -8
Subtract 1 from both sides to get;
3x > -9
x > -9/3
x > -3
Similarly, let's find the range of x from eq 2;3x + 1 < 7
Subtract 1 from both sides to get;
3x < 7 - 1
3x < 6
x < 6/3
x < 2
Thus, we can write that;
-3 < x < 2
Thus, the set of possible values of x are; x = {-2, -1, 0, 1}
Read more at; brainly.com/question/18119747
A bag contains 4 red marbles, 3 blue marbles, and 6 green marbles. What is the probability of choosing a blue marble
Answer:
3/13 or around 23%
Step-by-step explanation:
Add all the marbles together, than your numerator is the amount of blue marbles.
Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 − 5x y2 = 0
Answer: Area = \(\int\limits^5_0 {(5x - x^2)} \, dx\)
Step-by-step explanation:
Thiis is quite straightforward, so I will be gudiding you through the process.
we have that;
y1 = x² -5x
and y² = 0
Taking Limits:
y1 = x² -5x, y2 = 0
x² - 5x = 0;
so x(x - 5) = 0
this gives x = 0 and x = 5
∴ 0≤x≤5
This is to say that the graph intersets at x = 0 and x = 5 and y2 is the upper most function.
Let us take the formula:
Area = ∫b-a (upper curve - lower curve)
where a here represents 0 and b represents 5
the upper curve y2 = 0
whereas the lower curve y1 = x² - 5x
Area = ∫5-0 [ 0 - (x² - 5x) ] dx
This becomes the Area.
Area = \(\int\limits^5_0 {(5x - x^2)} \, dx\)
cheers i hope this helped !!!
37st term: 9, 3, -3, -9, -15
Answer:
Step-by-step explanation:
The first term (a) = 9
the 37th term is what we want (n = 37)
d = - 6
t_37 = 9 + (n - 1) * (-6)
t_37 = 9 + 36 * - 6
t_37 = 9 - 216
t_37 = - 207
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
If you deposit $2000 in an account earning 3% interest compounded monthly, how much will you have in the account in 20 years?
8x+152=224 Please help! (Show your work!)
Answer:
\(8x + 152 = 224 \\ 8x = 72 \\ x = 9\)
True or false ? Not all consumers act according to the classical definition of a rational consumer
Answer:
this statement is true .............
convert each rate 21 ft/sec = _____ yd/sec
Answer:
7 yards yards per second.
Step-by-step explanation:
you divide 21 by three
Help! The white shark can grow to a length of 21 feet. This is 35% of the maximum length of the sperm whale. Find the maximum length of the sperm whale. If necessary, round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
George measured the weight of a random sample of 49 cartons of apples. The mean weight was 45.5 pounds, with a standard deviation of 3. z equals fraction numerator x with bar on top minus mu over denominator begin display style bevelled fraction numerator sigma over denominator square root of n end fraction end style end fraction To see if the cartons have a significantly different mean weight from 46 pounds, what would the value of the z-test statistic be
Answer:
1.16667
Step-by-step explanation:
When told in the question that random number of sample is tested
z test statistic formula = x - x bar(x with bar above it) /Standard error
From the question
x = raw score = 46 pounds
x bar (x with bar above it)= sample mean = 45.5 pounds
Standard Error = σ/√n
Standard deviation = σ = 3
n = random number of samples = 49
z = 46 - 45.5/3/√49
z = 0.5/ 3/7
z =0.5/ 0.4285714286
z = 1.16667
Therefore , the value of the z test statistic = 1.16667
Answer:
1.17
Step-by-step explanation:
What is the slope and y-intercept of this line?
y=−12x+7
slope: 12, y-intercept: −7
slope: −7, y-intercept: −12
slope: −12, y-intercept: 7
slope: 7, y-intercept: −12
Answer:
(c) slope: -12, y-intercept: 7
Step-by-step explanation:
The given equation is in the slope-intercept form:
y = mx +b
In this form, m is the slope, and b is the y-intercept.
__
Comparing the given equation to the form, we see ...
y = mx +b
y = -12x +7 ⇒ m = -12, b = 7
The slope is -12; the y-intercept is 7.
Distribute and simplify the radicals below.
(√12+6)(-√8-√2)
O-18√2-6√√6
O-6√5-2√3
O-6√5+2√3
O 18√2+6√6
The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2
How to simplify the radical?The expression is given as:
(√12+6)(-√8-√2)
Factor out -1
(√12+6)(-√8-√2) = -(√12+6)(√8+√2)
Expand the expression
(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)
Evaluate the radicals
(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)
Evaluate the like terms
(√12+6)(-√8-√2) = -(6√6 + 18√2)
Open the bracket
(√12+6)(-√8-√2) = -6√6 - 18√2
Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2
Read more about radicals at:
https://brainly.com/question/1980062
#SPJ1
qwesdddddddfffffffggggggggggggggggggggggggggggggggggggggg
Answer:
Step-by-step explanation:
kjiuhytresdzxiu8y765re4rsdxfbhgytfyrdeswaszxdfcg
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
Learn more about vector on
https://brainly.com/question/25705666
#SPJ1
Can someone please explain the question below?
Answer: Option A, 192 sqft.
Step-by-step explanation:
The area of a parallelogram is given as A = b * h. Where A = area of a parallelogram, b = base of a parallelogram, and h = height of a parallelogram.
As given in the picture above we can see that the height of the parallelogram is 12 ft and the base is 16 ft.
so Area is the base multiplied by the height. that is A = 16 ft * 12 ft which is equal to 192 ftsq. A parallelogram has for sides and two opposite sides that are parallel and also have equal lengths. The height of a parallelogram is the perpendicular distance between two parallel lines of a parallelogram.
We can use the following equation to find the area of a parallelogram:
\(A=bh\)
b = base lengthh = length from base to base, must be perpendicularSolving the Question
We're given:
b = 16 fth = 12 ftPlug these values into the equation and solve:
\(A=bh\\A=16*12\\A=192\)
Therefore, the area of the parallelogram is 192 ft².
Answer192 ft²
A florist sells a dozen roses for $35.40. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y. How much would 18 roses cost?
Answer: The equation is
The cost of 18 roses is 53.10.
Step-by-step explanation:
Given:
A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price.
Now, to find the cost of 18 roses and write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y.
1 dozen = 12.
Now, to get the cost of 18 roses we use unitary method:
If 12 roses cost = 35.40.
So, 1 roses cost = 2.95.
Thus, 18 roses cost = 53.10.
Therefore, the cost of 18 roses = 53.10.
Now, to write an equation the relationship between the number of roses and the total cost of the roses:
Cost of per rose = 2.95.
As, given in question:
Number of roses =
Total cost of the roses =
Total cost of the roses = Cost of per rose × Number of roses.
So, the equation is:
Therefore, the equation is And the cost of 18 roses is 53.10.
Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer
Answer:
sweefe
Step-by-step explanation:
EFEFEEa
Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
Learn more about Proposition here:
https://brainly.com/question/30695879
#SPJ1
the difference between two negative umers is always negative
Arayanna is making a batch of brownies that feeds 4 people. How many batches of the recipe does she need to make to feed
37 people ?
Answer:
Arayanna needs 10 batches of brownies to feed 37 people.
Step-by-step explanation:
Answer:
so basically you divide 37 by four because there are 37 people and a pack of brownies makes 4
Step-by-step explanation:
s0 you would need 10 batches because if you make nine 9 times 4 is only 36 so there is 37 people who would like a brownie
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
For more questions on circle
https://brainly.com/question/28162977
#SPJ8
what is 5+10 in your opiniyon
Answer: 15
Step-by-step explanation:
In my opinion it's 15 because calculators
Answer:
15
Step-by-step explanation:
10 can be written as 5 + 5
5 + 10
= 5 + 5 + 5
= 5 x ( 1 + 1 + 1 )
= 5 x 3
= 15
State the domain plssssa
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).