Answer:
20 hats
Step-by-step explanation:
If one boy had two hats, and there were ten boys, you would simply multiply 10 by 2! that gets you 20, which is your answer!
You can think of it as instead of each boy having one hat (which would make it ten hats in total), they'd have double of ten, making it 20!
I hope this helps!
Is this dilation a reduction or an enlargement
Answer:
Step-by-step explanation:
A dilation maintains the shape of a figure but changes its size.
A reduction would mean the new figure will be a smaller version of the original.
An enlargement would mean the new figure will be a bigger version of the original.
This particular question doesn’t include a photo so depending on these definitions, one can easily identify the correct answer.
Answer:
In geometry, a dilation is a transformation that changes the size of a figure while keeping its shape the same. Imagine taking a picture of a shape and then making it bigger or smaller without changing its proportions or angles.
If a dilation makes the figure smaller than the original, we call it a reduction. This means that the new figure is a scaled-down version of the original. Conversely, if a dilation makes the figure larger, we call it an enlargement. In this case, the new figure is a scaled-up version of the original.
So, to summarize, dilations can change the size of a figure while preserving its shape, and we can describe the resulting figure as either a reduction or an enlargement depending on whether it is smaller or larger than the original.
Step-by-step explanation:
Let A={(x-3)/(x-2)ЄR : X<0}
be a subset of real numbers.
i) Define A's supremum and infimum.
The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.
To define the supremum and infimum of the set A, we first need to determine the properties of the set.
The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.
To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.
Let's analyze the elements of A:
For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.
As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.
Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.
Again, analyzing the elements of A:
As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.
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If point M was located at (4, -2) and was
dilated to M'(6,-3), which dilation rule below
would make the dilation true?
A. (x,y) —> (x + 6, y-3)
B. (X,Y)—>(x,y)
C. (x,y) → (0.6x, 0.6y)
D. (x, y) —>(3/2x3/2y)
Answer:
The rule to calculate the dilation by a scale factor 1/3 centered at the origin
(x, y) → (3/2x, 3/2y)
Hence, option D is correct.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlargedIf the scale factor is between 0 and 1, it gets shrunkIf the scale factor = 1, the object and the image are congruentThe coordinates of the image can be determined by multiplying the coordinates of the original point by a given scale factor.
Given that the point M was located at (4, -2) and was dilated to M'(6,-3).
It means if we multiply the coordinates of the original point M(4, -2) by 3/2, we get the image point M'(6, -3).
i.e.
M(4, -2) → M'(3/2(4), 3/2(-2)) → M'(6, -3)
In other words, the image M'(6, -3) is obtained after the dilation by a scale factor 3/2 centered at the origin.
Therefore,
The rule to calculate the dilation by a scale factor 1/3 centered at the origin
(x, y) → (3/2x, 3/2y)
Hence, option D is correct.
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}
A.
No; the domain value 3 corresponds to multiple range values.
B.
Yes; there is no value in the domain that corresponds to more than one value of the range.
C.
No; a function must have multiple domain values.
Answer:
A. it is not a function because there are multiple y-values paired with a single x-value.
Step-by-step explanation:
Please answer this :) have a good day
Answer:
Equation: \(\\\)m + $37.07 = 55.29Solve: m = $18.22Solution: Brenda recieved $18.22 for her birthday.Step-by-step explanation:
m + $37.07 = $55.29
$55.29 - $37.07 = $18.22
Hope this helps and pls do mark me brainliest if you can:)
if you flip a coin two times, what is the probability that one toss will come up heads and the other will come up tails?
The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.
Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).
On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:
heads-heads (HH),
heads-tails (HT),
tails-heads (TH),
and tails-tails (TT).
Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.
Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.
So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails
Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%.
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a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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Using his telescope, Tory watches a cheetah as it sits on the top of a cliff. The telescope is positioned so that the line of sight to the cheetah forms a 34° angle of elevation. The telescope sits 2.9 m above the ground and the base of the telescope is 178 m from the base of the cliff. To the nearest tenth of a meter, how high above the ground is the cheetah? If the answer does not have a tenths place then include a zero so that it does. Do not include the units in the answer.
To the nearest tenth of a meter, the height above of the cheetah to the ground is 123.0 meters.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem or trigonometric ratios.
The distance of the telescope from the base of the cliff is 178 meters and it is the adjacent side of the triangle formed.
Therefore,
tan 34° = opposite / adjacent
tan 34° = opposite / 178
cross multiply
opposite side = 178 tan 34
opposite side = 120.062515998
Therefore, the height above the cheetah to the ground is as follows:
height = 120.062515998 + 2.9 = 122.962515998
height = 123.0 meters.
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Kyle has 1/2 of a sheet cake. He cut it in 5 pieces of the same size. What fraction of a sheet cake is each piece?
Answer: 1/10
Step-by-step explanation:
Kyle had 1/2 of a sheet cake.
He then cut this half that he had into 5 pieces of the same size.
The fraction of the sheet cake he has therefore is:
= 1/2 ÷ 5
= 1/2 * 1/5
= 1/10
Each piece was 1/10 of the sheet cake.
You might need:
Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =
Answer:
x = -11, x = 11
Step-by-step explanation:
Zeros are when g(x) = 0:
\(0=4x^{2} -484\)
\(0=4(x^{2} -121)\)
\(0=x^{2} -121\)
Factor:
\(0=(x-11)(x+11)\)
\(0=x+11, 0=x-11\)
\(x=-11, x=11\)
Muluply the expressions below. Then simplify if possible 2x(3x - 4) b. (x+3)(2x-5) (2.1+5)(2x-5) d. X(2x+1)(-3)
Answer:
What is the expression? All I see are the answers.
Step-by-step explanation:
B с ma A b Note: Triangle may not be drawn to scale. Suppose a 2 and c= 9. Find: 6 AA degrees BE degrees Give all answers to at least one decimal place. Give angles in degrees calculator
To solve for angle A and angle B in the given triangle, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.
In this case, we have side a with length 2 and side c with length 9. Let's denote angle A as angle opposite side a and angle B as angle opposite side b (which is unknown).
Using the Law of Sines, we have:
sin(A) / a = sin(B) / b
Plugging in the known values, we get:
sin(A) / 2 = sin(B) / 9
To find angle A, we can use the arcsine function:
A = arcsin((sin(B) / 9) * 2)
To find angle B, we can rearrange the equation:
sin(B) = (sin(A) / 2) * 9
B = arcsin((sin(A) / 2) * 9)
Now we can calculate the angles using a calculator:
A ≈ 19.5 degrees (rounded to one decimal place)
B ≈ 84.1 degrees (rounded to one decimal place)
Therefore, angle A is approximately 19.5 degrees and angle B is approximately 84.1 degrees.
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Brianna is working two summer jobs, making $16 per hour lifeguarding and $11 per hour tutoring. Brianna must earn no less than $130 this week. Write an inequality that would represent the possible values for the number of hours lifeguarding, ll, and the number of hours tutoring, tt, that Brianna can work in a given week.
16h + 11t ≥ 130
16*5=80, 16*4=64
11*5=55, 11*6=66
80x+55y>130
64x+66y>130
The possible values for the number of hours lifeguarding, is 5,4 hours and the number of hours tutoring, is 5,6 hours that Brianna can work in a given week.
What does a mathematical inequality equation mean?In Algebra, an inequality is a mathematical statement that uses the inequality symbol to depict the relationship between two expressions. An inequality sign has non-equal expressions on both sides.
Write an inequality equation in what format?Use these steps to resolve an inequality: Eliminate fractions in Step 1 by multiplying all terms by the total fractions' lowest common denominator. On both sides of the inequality, combine like phrases to simplify in Step 2. To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts.
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Are the ratios 3:2 and 17:12 equivalent?
yes
no
Answer:
no
Step-by-step explanation:
3:2 is equal to 18:12 not 17
Let f(x)=x3−12x2+45x−13. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at x = 4. The relative minima of f occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last two, your answer should be a comma separated list of x values or the word "none".
After considering all the given data we conclude that the open intervals are as follows
f is increasing on the intervals (2, 4) and (4, ∞).
f is decreasing on the interval (-∞, 2).
The relative maxima of f occur at x = 3.
The relative minima of f occur at x = 4.
To evaluate the open intervals on which \(f(x) = x^3 - 12x^2 + 45x - 13\) is increasing or decreasing, we need to evaluate the first derivative of f(x) and determine its sign.
Then, to calculate the relative maxima and minima, we need to find the critical points and determine their nature using the second derivative test.
To evaluate the intervals on which f(x) is increasing or decreasing, we take the derivative of f(x) and set it equal to zero to evaluate the critical points:
\(f'(x) = 3x^2 - 24x + 45\)
\(3x^2 - 24x + 45 = 0\)
Solving for x, we get:
x = 3, 4
To describe the sign of f'(x) on each interval, we can use a sign chart:
Interval (-∞, 3) (3, 4) (4, ∞)
f'(x) sign + - +
Therefore, f(x) is increasing on the intervals (2, 4) and (4, ∞) and decreasing on the interval (-∞, 2).
To evaluate the relative maxima and minima, we need to use the second derivative test. We take the second derivative of f(x) and evaluate it at each critical point:
f''(x) = 6x - 24
f''(3) = -6 < 0, so f(x) has a relative maximum at x = 3.
f''(4) = 12 > 0, so f(x) has a relative minimum at x = 4.
Therefore, the x-coordinates of the relative maxima and minima of f(x) are 3 and 4, respectively.
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At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.
Answer:
$18.99
Step-by-step explanation:
The total cost is the base cost plus that of the added toppings.
total cost = base cost + (number of toppings) × (topping cost)
total cost = $13.99 + 4 × $1.25 = $18.99
Their pizza costs $18.99.
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To find the surface area of a refrigerator, square inches or square feet can be used.
The surface area of the cube is 150 square feet.
Volume of the box is 4500 cubic centimeters.
Package B has greater volume of 204 cubic inches greater .
Surface area of any object are measured in square units.
So square feet and square inches can be used.
Surface area of a cube = 6a², where a is the edge length.
Surface area = 6 (5)² = 150 square feet
Volume of the rectangular box = length × width × height
= 20 × 7.5 × 30
= 4500 centimeters³
Volume of package A = 10.5 × 4 × 8 = 336 cubic inches
Volume of package B = 18 × 12 × 2.5 = 540 cubic inches
Package B has greater volume.
It is greater by 540 - 336 = 204 cubic inches
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25: Find the value of 9v+9 given that -7v-4=3
Simplify
Answer:
9v + 9 = 0
Step-by-step explanation:
9 (-1) + 9 = 0
The quality department at ElectroTech is examining which of two microscope brands (Brand A or Brand B) to purchase. They have hired someone to inspect six circuit boards using both microscopes. Below are the results in terms of the number of defects (e.g., solder voids, misaligned components) found using each microscope. Use Table 2. Let the difference be defined as the number of defects with Brand A - Brand B. Specify the null and alternative hypotheses to test for differences in the defects found between the microscope brands. H_0: mu_D = 0; H_a: mu_D notequalto 0 H_0: mu_D greaterthanorequalto 0; H_A: mu_D < 0 H_0: mu_D lessthanorequalto 0; H_A: mu_D > 0 At the 5% significance level, find the critical value(s) of the test. What is the decision rule? (Negative values should be indicated by a minus sign. Round your answer to 3 decimal places.) Assuming that the difference in defects is normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Based on the above results, is there a difference between the microscope brands? conclude the mean difference between Brand A number of defects and the Brand B number of defects is different from zero.
Based on the above results, there is no difference between the microscope brands.
We are given that;
\(H_0: mu_D = 0; H_a: mu_D notequalto 0 H_0: mu_D greaterthanorequalto 0; H_A: mu_D < 0 H_0: mu_D lessthanorequalto 0; H_A: mu_D > 0\)
Now,
The null hypothesis is that the mean difference between Brand A number of defects and the Brand B number of defects is equal to zero. The alternative hypothesis is that the mean difference between Brand A number of defects and the Brand B number of defects is not equal to zero.
The decision rule for a two-tailed test at the 5% significance level is to reject the null hypothesis if the absolute value of the test statistic is greater than or equal to 2.571.
The value of the test statistic is -2.236. Since the absolute value of the test statistic is less than 2.571, we fail to reject the null hypothesis.
So, based on the above results, there is not enough evidence to conclude that there is a difference between the microscope brands.
Therefore, by Statistics the answer will be there is no difference between Brand A number of defects and the Brand B.
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f(x) = 6x - 2; g(x) = 2x - 4
Find f - g.
5.
8cm
The diagram shows a prism.
9cm
5cm
Not to scale
Work out the volume of the prism.
3cm
10cm
Answer:
9cm r=2x3x9= 54. Find the volume of the cube. Include units. 5cm ... Not to scale. Work out the volume of the prism. Area of front. 3x5=15. 3cm 4x8=32. 10cm.
Step-by-step explanation:
Answer:
470 cm³
Step-by-step explanation:
You want the volume of a prism with an L-shaped base.
VolumeThe volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Base areaThe base is has an L-shape. Its area can be found by extending the horizontal line to divide the figure into two rectangles.
The top rectangle is 4cm × 5cm, so has an area of ...
A = LW = (4 cm)(5 cm) = 20 cm²
The bottom rectangle is 9 cm × 3 cm, so has an area of ...
A = LW = (9 cm)(3 cm) = 27 cm²
Then the total base area is ...
B = (top rectangle area) + (bottom rectangle area)
B = (20 cm²) +(27 cm²) = 47 cm²
Prism volumeThen the volume is ...
V = Bh = (47 cm²)(10 cm) = 470 cm³
The volume of the prism is 470 cm³.
two of the people do not like each other and do not want to sit side-by-side. now how many ways can the seven be seated together in a row?
The total number of ways the seven people arrangement can be done seated together in a row, considering the restriction, is 1440 ways.
If two people do not like each other and do not want to sit side-by-side, we can treat them as a single entity. Let's call this entity A. Now we have six entities to be seated together:
A, person 1, person 2, person 3, person 4, person 5, and person 6.
To find the number of ways these six entities can be seated together, we can treat them as distinguishable objects and arrange them in a row. Since there are six objects to arrange
The number of ways is given by 6!.
However, within the entity A, person 1 and person 2 can be arranged in two different ways (person 1 to the left of person 2 or person 2 to the left of person 1). So we need to multiply the above result by 2.
Therefore, the total number of ways the seven people can be seated together in a row, considering the restriction, is
The total number of ways = 2 × 6!
= 2 × 720
= 1440 ways.
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Indicated angles :
6. Find the measures of the indicated angles. Give reasons for your answers
Answer:
k\
Step-by-step explanation:
j
A teacher surveys all of the students in the school to find out each student's favorite class. The bar graph shows the results of his survey. How many more students prefer Math than prefer Science? Use the bar graph to answer the question.
Answer:
14
Step-by-step explanation:
16 students prefer maths and 2 students prefer science so
16-2=14
Write a entence decribing a ituation that could be reapreented by the equation 4 divided 1 1/3
The equation could be described by "the product of three and the reciprocal of four divided by three"
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
To solve this problem we must perform the corresponding algebraic operations with mixed fraction.
Original equation:
4 / (1 1/3)
A mixed operation is solved as follows:
For the denominator: the same denominator is placed.
For the numerator:
The value of the denominator is multiplied by the integer component.The result is added to the numerator of the fraction.We transform the mixed fraction into improper fraction and we have:
1 1/3 = [(3*1) + 1)] /3 = [3+ 1] /3 = 4/3
Now, describing the equation with the improper fraction we get:
4 / (4/3)
Solving the division with fractions we have:
(4*3) / 4
This means that "the product of three and the reciprocal of four divided by three"
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Michelle earns $250 a week as a waitperson plus tips. Her tips average 28% of her customers’ total bills. Last week, the total for all her customers’ bills was $4,275.00. Find her earnings for last week.
A)$1,447
B)$1,197
C)$1,267
D)$4,525
Answer:
1 Week = $250
Tips= $4275*28% = $1197
Total Earnings= $250+$1197 = $1447
Translate this sentence into an equation.
63 is the sum of 10 and Malik's height.
Use the variable m to represent Malik's height.
3.16 x 10 with the power of 3
Answer:
3160
Step-by-step explanation:
3.16 x 10^3
10^3 = 1000
so you move the decimal point three times to the right
I hope this helps
Answer:
3,160
Step-by-step explanation:
This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.
You would take
3.1600
and move the decimal point 3 spaces to the right
31.600
316.00
3160.0
3,160 is your answer
Hope this helps :-)
If angle C measures 5(6x + 5) degrees, and angle A is 295 degrees, what is x?
Answer:
don't know sorry
Step-by-step explanation:
dont know sorry
What are the two rejection areas in using a two-tailed test and the 0.01 level of significance? a. Above 1.96 and below -1.96 b. Above 1.00 and below -1.00 c. Above 1.65 and below -1.65 d. Above 2.00 and below.2.00 e. Above 2 58 and below -2.58
The two rejection areas in using a two-tailed test and the 0.01 level of significance are:
Option e. Above 2.58 and below -2.58.
A two-tailed test is used when we want to test if the mean of a population is different from a specific value. In this case, we have two rejection areas, one in each tail of the distribution. The 0.01 level of significance means that we have a 1% chance of rejecting the null hypothesis when it is actually true.
To find the rejection areas, we need to look at the critical values for the 0.01 level of significance in a two-tailed test. These values are found in a Z-table or can be calculated using a calculator. The critical values for a two-tailed test and the 0.01 level of significance are 2.58 and -2.58. This means that any value above 2.58 or below -2.58 will be in the rejection areas and will lead us to reject the null hypothesis.
Therefore, the correct answer is e. Above 2.58 and below -2.58.
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