Jamelia estimates the square root of 72 in the following way: √72=2√36= 2*6=12 Explain why her reasoning is incorrect. Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Ben writes the number 74,443. The value of the digit 4 in the hundreds place is 10 times the value of the digit 4 is what place vakue
21 ÷ 7 + 20 • 100 • 2 – 3
PLEASE SOLVE
Determine whether quantities vary directly or inversely and find the constant of variation.
A teacher grades 25 students essays in 4 hours. Assuming he grades at the same speed, how long will it take him to grade 35 essays?
The time take him to grade 35 essays is, 5.6 hours.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
A teacher grades 25 students essays in 4 hours.
And, To find the time take him to grade 35 essays.
Now, Let us assume that,
Time take him to grade 35 essays is, x
Hence, We get;
25 / 4 = 35 / x
Solve for x;
x = 35 × 4 / 25
x = 5.6 hours
Thus, the time take him to grade 35 essays is, 5.6 hours.
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A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting. energy = kj/photon
To which sets of numbers does 0.0202002000200002 . . . belong? A. Irrational B.Rational only C.Rational and natural D.Rational and integer
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2.
Find the amount of the annuity.
Amount of Each Deposit: $295
Deposited: Quarterly
Rate per Year: 10%
Number of Years: 6
Type of Annuity: Due
$9,671.28
$9,542.97
$10,076.54
$9,781.54
seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
Can adjacent angles be supplementary complementary or neither
Answer:
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent
Step-by-step explanation:
Q # 7.Write a congruence statement for the pair of triangles
Solve by using the quadratic formula. 9x2 + 24x + 32 = 0
What is the Least common denominator for -3/x -6/8x^2
What is the sum of the first 35 terms in the series 7 + 9 + 11 + ...?
a.
29
c.
1645
b.
1399
d.
1435
Which description best fits the distribution of the data shown in the histogram?
skewed right
uniform
approximately bell-shaped
skewed left
Histogram with vertical axis ranging from 0 to 14 labeled Frequency. For 0 to 49, the bar height is 2. For 50 to 99, the bar height is 6. For 100 to 149, the bar height is 12. For 150 to 199, the bar height is 5. For 200 to 249, the bar height is 1.
Answer with explanation:
The Description about the Histogram is
Vertical Axis = 0-14
Horizontal Axis Bar Height
0-49 2
50-99 6
100-149 12
150-199 5
200-249 1
Plotting the Histogram
→Class interval 150-199 has frequency =5, and class interval 50-99, has frequency equal to 6.
→The curve is not uniform on both sides.
→The interval in which mean , median lies has 6+2=8 frequency on the left of that interval , and 5+1=6, values on the right of class interval [100-149].We can conclude that,the histogram is left Skewed.
→But when we join ,mid points of histogram,the curve obtained resembles with a normal distribution curve called bell curve.It is not exactly bell shaped,as not uniform on both sides explained above.
Option C: Approximately bell Shaped
the graph below shows the amount of snowfall in a 6-hour period
Between which hours did the least amount of snow fall?
Answer=(4,5)
Step-by-step explanation:
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function? (2 points) negative 7 square root 74 divided by 74 negative 5 times square root of 74 over 74 7 times square root of 74 over 74 square root 74
Answer:
Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]
Step-by-step explanation:
At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.
As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)
So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]
Here Height of the triangle = 7
and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]
By putting these values in the expression
[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]
Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]
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Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions?
To compare the maximum values of function, which is a discrete function with given values, we find that C ) It is 3 units lower for f ( x ) than g ( x )
To compare the maximum values of functions f(x) and g(x), we first analyze each function separately. The quadratic function f(x) = -4x2 + 5x has a vertex form which reveals its maximum value at x = 1/3, and since g(x) is a discrete function defined by its values at certain points, we look directly at the given values to find its maximum.
Function g(x) reaches its maximum at g(2) = 8. Comparing this to f(x), whose vertex form shows that its maximum is f(1/3), we need to compute f(1/3) = -4(1/3)2 + 5(1/3) to find its specific value. After calculation, f(1/3) is found to be higher than 8, which is the maximum of g(x).
Thus,
g ( x ) maximum value = 8
f ( x ) maximum value = 5
g ( x ) max - f ( x ) max = 8 - 5 = 3
Complete Question:
Functions f(x) and g(x) are described as follows:
f(x) = -4x2 + 5
x g(x)
0 0
1 4
2 8
3 4
4 0
Which statement best compares the maximum value of the two functions? A. It is equal for both functions. B. It is 3 units higher for f(x) than g(x). C. It is 3 units lower for f(x) than g(x). D. It is 4 units lower for f(x) than g(x).
Which describes the difference between the graph of f(x) = 2x3 - 8x + 3 and g(x) = x3 - 4x?
A) The graph of g(x) is obtained by shifting f(x) up 3 units and stretching vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
C) The graph of g(x) is obtained by shifting f(x) right 3 units and compressing vertically by a factor of 2.
D) The graph of f(x) is obtained by shifting g(x) right 3 units and compressing vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
Mrs.Alvarado gets a raise that increases their income to $6,500 a month. Their mortgage stays the same. What percent of their monthly income do they now spend on the mortgage?
Write an expression that represents the difference of 32 and N multiplied by 10
A square garden has side lengths of 8 inches. Jackie makes a rectangular garden with the same area as the square garden .which of these could be the dimensions of the rectangular garden. a-10 inches by 6 inches, b7 inches by 9 inches, c 8 inches by 12,d 16 inches by 4 inches.
A line intersects the points (6, -12) and (15, -3). What is the slope intercept equation for this line?
y = 1x - [?]
Hugo is a veterinarian. He knows the following information about his 41 patrons: 20 patrons in total do not have a dog. 17 patrons in total have a cat. 7 patrons have neither a dog nor a cat. Can you help Hugo organize the results into a two-way frequency table?
Answer:
4,17,13,7
Step-by-step explanation:
i got it right :)
To assist Hugo in organizing patron pet ownership into a two-way frequency table, calculations were made to determine the number of patrons with both a dog and a cat, leading to a complete frequency table illustrating pet ownership among 41 patrons.
Explanation:Hugo, the veterinarian, is attempting to organize patron pet ownership information into a two-way frequency table. First, let's establish the total number of patrons which is 41. Since 20 patrons do not have a dog, it implies that 41 - 20 = 21 patrons have a dog. Of the 41 patrons, we know that 17 have a cat. Also, 7 patrons have neither a dog nor a cat. To create the two-way frequency table, we need to figure out how many patrons have both a dog and a cat.
To find the number of patrons with both pets, we add the number of patrons without pets to those with dogs and then subtract from the total number of patrons, which gives us 41 - 20 + 7 = 28. However, since this number includes all dog owners, we need to subtract those who only have dogs and no cats, which gives us 28 - (41 - 17) = 28 - 24 = 4 patrons with both a dog and a cat.
With these calculations, we can now fill out the two-way frequency table:
Patron\PetDogNo DogTotalCat41317No Cat17724Total212041
Note: The sum of the numbers for dog owners and non-dog owners must equal the total number of patrons, and the same applies for cat ownership.
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John made $20 for 2 hours of work. Sally made $50 for 4 hours of work. How do John and Sally's hourly pay rate compare?
Answer:
sally makes more
Step-by-step explanation:
john makes 20 per 2 hours
20/2= 10
sally makes 50$ per 4 hours
50/4= 12.5
so Sally makes more
the / is division
If r = -6, s = -2, v = 10, and w = 3; then vs(r - s) ÷ 2 + rw =
what are the common factors of 24 and 48
Lana is trying to find an equation for a line that passes through (5, 2) and is parallel to 3x + 2y = 15. explain the steps that lana could take to determine the equation.