ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?
A reflection over the line x = 2
A reflection over the line y = 3
A reflection over the line x = 3
A reflection over the y-axis
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IMAGE: is in the link above
Answers
Answer:
A reflection over the line x=3
Step-by-step explanation:
Related Questions
OMG PLZZZZZZZ HELP ME!!!!!! IM SO CLUELESS!!!!
Need work shown!!!
Answers
Because from 18 to 9, you half it.
So half of 20 is 10
:)))
Answer:
The answer is 10
Step-by-step explanation:
First, take the length from the other sides which is
18/20 then simplify it
you get 9/10
so the answer is 10
6.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 212; your car travels 212 miles.
B. 1/53; Your car travels 53 miles every 1 hour.
C. 53/1; Your car travels 53 miles every 1 hour.
D. 10; your car travels for 10 hours.
Answers
Answer:
D. 10; your car travels for 10 hours.
Step-by-step explanation:
ASAP
what is 2617.99 rounded tenth?
Answers
Answer:
2620
Step-by-step explanation:
The tenth place value is 2 places after the decimal so round off from there
In a sample of 4500 first year college students, a national survey reported that 39% participated in community service or volunteering work. a)Find the margin of error for 99% confidence level. Explain the findings of the study to someone who does not know statistics. [2 pts] b)Suppose a similar study collects a new sample of 4,500 first year students. If a 99% confidence interval is computed from the new sample, will the confidence interval will be exactly the same as the results in a)
Answers
Answer:
Step-by-step explanation:
a)Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 4500
p = 39/100 = 0.39
q = 1 - 0.39 = 0.61
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.005 = 0.995
The z score corresponding to the area on the z table is 2.58. Thus, the z score for a confidence level of 99% is 2.58
Margin of error = 2.58√(0.39)(0.61)/4500
Margin of error = 0.0188
The lower limit of the confidence interval is
0.39 - 0.0188 = 0.3712
The upper limit of the confidence interval is
0.39 + 0.054 = 0.4088
Therefore, we are 99% certain or confident that the proportion of the population of first year college students that participated in community service or volunteering work lies between 0.3712 and 0.4088
b) The margin of error would remain the same but the confidence interval would be affected by the value of the sample proportion.
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answers
Answer:
\(y-4=\frac{1}{2} (x+10)\)
Step-by-step explanation:
Point-slope form: \(y-y_1=m(x-x_1)\) when the given point is \((x_1,y_1)\) and the slope is \(m\)
\(y-y_1=m(x-x_1)\)
Plug in the point (-10,4)
\(y-4=m(x-(-10))\)
Two negatives make a positive
\(y-4=m(x+10)\)
Plug in the slope
\(y-4=\frac{1}{2} (x+10)\)
I hope this helps!
In 2011, the moose population in a park was measured to be 5,800. By 2017, the population was measured again to be 8,000. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2011.What does your model from above predict the moose population to be in 2022?
Answers
This problem asks to:
a) Find a model to predict the population P as a function of t (years since 2011).
b) Predict the population in 2022.
To find this information, follow the steps below.
Step 1: Write a general equation for populational growth.
The population growth can be represented as:
\(P=P_0\cdot e^{r\cdot t}\)Where:
P is the population in time t;
Po is the initial population;
r is the rate of growth;
t is the time.
Step 2: Write the equation that represents the moose population.
Since the problems aks to evaluate the population from 2011. Use the population in 2011 as the initial population.
Then, P0 = 5,800.
\(P=5,800\cdot e^{r\cdot t}\)Now, to find r, use the information for 2017.
In 2017,
P = 8,000
t = 6 (2017 - 2011)
Then,
\(\begin{gathered} 8,000=5,800\cdot e^{r\cdot6} \\ \end{gathered}\)To isolate r, first divide both sides by 5,800:
\(\begin{gathered} \frac{8,000}{5,800}=e^{r\cdot t} \\ \frac{80}{58}=e^{r\cdot t} \\ \end{gathered}\)Take the ln from both sides.
\(\begin{gathered} \ln (\frac{40}{29})=\ln e^{6r} \\ \text{ Using the properties of ln:} \\ \ln (\frac{40}{29})=6r\cdot\ln e \\ \ln (\frac{40}{29})=6r\cdot1 \\ \ln (\frac{40}{29})=6r \end{gathered}\)Divide both sides by 6:
\(\begin{gathered} \frac{6r}{6}=\frac{\ln (\frac{40}{29})}{6} \\ r=\frac{\ln(\frac{40}{29})}{6} \\ or \\ r=\frac{0.3216}{6}=0.0536 \end{gathered}\)So,
(a) The equation that represents the moose population over the years is:
\(P=5,800\cdot e^{0.0536\cdot t}\)Step 3: Predict the population in 2022.
In 2022,
t = 11 (2022 - 2011).
Then,
\(\begin{gathered} P=5,800\cdot e^{0.0536\cdot t} \\ P=5,800\cdot e^{0.0536\cdot11} \\ P=5,800\cdot e^{0.5895} \\ P=5,800\cdot1.8032 \\ P=10,458.6 \\ P=10,459 \end{gathered}\)(b) The moose population in 2022 will be 10,459.
Answer:
(a)
\(P=5,800\cdot e^{0.0536\cdot t}\)(b) 10,459.
How can we determine whether the solution is a ray or a segment?
Answers
A ray has only one endpoint. A segment has two endpoints.
What is a line?
A line is an object in geometry that is infinitely long and has neither width nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional spaces, they are one-dimensional objects. In everyday language, a line segment with two points designating its ends is also referred to as a "line."
A ray and a segment are parts of a line.
This line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.
In other words, a line segment is a section or element of a line with two endpoints. A line segment, in contrast to a line, has a known length.
A line segment's length can be calculated using either metric units like millimeters or centimeters or conventional units like feet or inches.
Ray has only one endpoint and the other ends go infinity.
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Drag each label to the correct location on the image.
Match each number to the type of notation it is expressed in:
5.91E10
0.0000734
2.66 x 10^-3
641,000,000,000
Standard Notation or Scientific Notation
Answers
Answer:
See below
Step-by-step explanation:
Given numbers:
5.91E10 0.0000734 2.66 x 10^-3 641,000,000,000Standard notation:
0.0000734641,000,000,000Scientific Notation:
5.91E10 2.66 x 10^-3Answer:
The guy above me is right
Step-by-step explanation:
Given numbers:
5.91E10
0.0000734
2.66 x 10^-3
641,000,000,000
Standard notation:
0.0000734
641,000,000,000
Scientific Notation:
5.91E10
2.66 x 10^-3
Pedro charged $933 to his credit card. Even after the cost of his next
purchase, he was still under his credit limit of $1500.
If c = the cost in dollars of Pedro's next purchase, which mathematical
sentence expresses the information above?
A. 933 + c > 1500
B. 933 + c< 1500
C. 933-c< 1500
O D. 933 - C> 1500
Answers
Answer:
b
Step-by-step explanation:
ASAP!!!!!!!!!!
What is the line of symmetry for the graph of y = -3x^2 + 12x - 11?
wrong= reported
ty<3
Answers
Answer:
line of symmetry is : x=2
Step-by-step explanation:
Answer:
Thus, the required line of symmetry is x = 2.
Step-by-step explanation:
Heart failure is due to either natural occurrences (82%) or outside factors (18%
). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial blockage, disease, and infection. Assume that causes of heart failure between individuals are independent.
What is the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors?
Answers
The probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.02712.
Probability of natural occurrences = 0.82Probability of outside factors = 0.18To find the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors, we have to consider two possibilities:
The first two patients are due to natural occurrences, or the first two patients are due to outside factors.If the first two patients are due to natural occurrences, the probability of the third patient being the first due to outside factors is:0.82 x 0.82 x 0.18 = 0.12272
If the first two patients are due to outside factors, the probability of the third patient being the first due to outside factors is:0.18 x 0.82 x 0.82 = 0.12272
Therefore, the total probability of the third patient being the first due to outside factors is the sum of these two probabilities:0.12272 + 0.12272 = 0.24544But, we have counted the case where all three patients have outside factors twice, so we need to subtract that probability once:0.24544 - 0.01836 = 0.22708
Therefore, the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.22708 or approximately 0.02712.
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A golf ball has a mass of 0.04 kg and a football has a mass of 0.4 kg. How is the mass of the football related to the mass of the golf ball? Write a sentence or equation to show your answer.
Answers
According to the problem, a golf ball has a mass of 0.04 kg and a football has a mass of 0.4 kg.
If we compare these masses, we would see that the football mass is 10 times greater than golf ball mass because 0.4 is 10 times greater than 0.04.
A machine cell uses 196 pounds of a certain material each day. Material is transported in vats that hold 26 pounds each. Cycle time for the vats is about 2.50 hours. The manager has assigned an inefficiency factor of 25 to the cell. The plant operates on an eight-hour day. How many vats will be used? (Round up your answer to the next whole number.)
Answers
The number of vats to be used is 8
Given: Weight of material used per day = 196 pounds
Weight of each vat = 26 pounds
Cycle time for each vat = 2.5 hours
Inefficiency factor assigned by manager = 25%
Time available for each day = 8 hours
To calculate the number of vats to be used, we need to calculate the time required to transport the total material by the available vats.
So, the number of vats required = Total material weight / Weight of each vat
To calculate the total material weight transported in 8 hours, we need to calculate the time required to transport the weight of one vat.
Total time to transport one vat = Cycle time for each vat / Inefficiency factor
Time to transport one vat = 2.5 / 1.25
(25% inefficiency = 1 - 0.25 = 0.75 efficiency factor)
Time to transport one vat = 2 hours
Total number of vats required = Total material weight / Weight of each vat
Total number of vats required = 196 / 26 = 7.54 (approximately)
Therefore, the number of vats to be used is 8 (rounded up to the next whole number).
Answer: 8 vats will be used.
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A 5 1/2 ounce raw hamburger patty has 27 1/2 grams of protein. A 6 ounce piece of raw chicken breast has 48grams of protein.
Determine which statements about the amount of protein per ounce, rounded to the nearest hundredth, for each type of food are true
a. The amount of protein per ounce in the hamburger patty is less than the amount of protein per ounce in the chicken breast.
B. There is 0.18 gram of protein per ounce of hamburger.
C. There are 8 grams of protein per ounce of chicken.
D. The amount of protein per ounce in the hamburger patty is more than the amount of protein per ounce in the chicken breast.
E. There is 0.13 gram of protein per ounce of chicken.
F. There are 5.67 grams of protein per ounce of hamburger.
Choose all that applies to the question.
Answers
The statements which are true among the answer choices are as follows;
a. The amount of protein per ounce in the hamburger patty is less than the amount of protein per ounce in the chicken breast.C. There are 8 grams of protein per ounce of chicken.Which statements about the protein content of the hamburger patty and chicken breast is correct?Since, it follows from the task content that; A 5 1/2 ounce raw hamburger patty has 27 1/2 grams of protein, it follows that the protein content per ounce is;
P(hamburger) = 55/2 ÷ 11/2
= 5g per ounce.
Also, A 6 ounce piece of raw chicken breast has 48grams of protein, hence we have;
P(chicken breast) = 48/6 = 8 grams per ounce.
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what is the answer ?
Answers
Answer:
V = 3 x 14 x 6 1/4 = 3 x 14 x 25/4 = 1050/4 = 525/2 = 262 1/2 ft
=> Option D is correct
Hope this helps!
:)
Answer:
\( 262 \frac{1}{2} \: {ft}^{3}\)
Step-by-step explanation:
\(l = 14 \: ft \: \: \\b = 6 \frac{1}{4} \: ft = \frac{25}{4} \: ft \: \: \\h = 3 \: ft \\ \\ V_{rectangular \: prism} = lbh \\ = 14 \times \frac{25}{4} \times 3 \\ = \frac{1050}{4} \\ = 262 \frac{1}{2} \: {ft}^{3} \)
what is the standard form for y+2=4/5 (x+4)
Answers
The equation in its standard form is 4x - 5y = -6
How to determine the standard form of the equation?From the question, we have the equation to be
y+2=4/5 (x+4)
Start by multiplying both sides of the equation by 5
So, we have
5(y + 2) =4/5 (x+4) * 5
Evaluate the products
This gives
5y + 10 =4 (x+4)
Next, we open the brackets
So, we have the following representation
5y + 10 =4x + 16
Collect the like terms
4x - 5y = 10 - 16
Evaluate the like terms
This gives
4x - 5y = -6
Hence, the standard form of the equation is 4x - 5y = -6
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Maria is ordering comic books online. The equation y = 5x + 10 represents the total cost in dollars, y, including shipping, for ordering x number of comic books. If Maria's total cost including shipping is $50, how many comic books did she order?
Answers
Answer: X = y/5 - 2
Step-by-step explanation:
I need helppppppppppp
Answers
Answer:
B
Step-by-step explanation:
Moving it to the right one unit and down one unit, you would have the answer be (x + 1, y-1) because moving it to the right is moving it in the direction of the positive numbers and moving it down is moving it in the direction of the negative numbers.
adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. find the height of a man with a z-score of 1.1071 (to 4 decimal places)
Answers
The height of a man with a Z- Score of 1.1071 is 70.226
Mean:
An average is a simple mathematical average of a set of two or more numbers. The average of a given set of numbers can be calculated in several ways, including the arithmetic average method, which uses the sum of the series of numbers, and the geometric average method, which uses the average of the range of products.
Standard Deviation:
Standard deviation is a measure of the dispersion or spread of a range of values. A low standard deviation indicates that the values tend to be closer to the mean (also called mean) of the set, while a high standard deviation indicates that the values are more spread out.
Z score:
Z-score is a statistical measure of the relationship between a value and the average of a set of values. Z-scores are measured in standard deviations from the mean. A z-score of 0 indicates that the data point's value is equal to the mean.
According to the question:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Z score = 1.1071
To Find:
the corresponding height (x) ;
Using the relation :
Z score = (x - m) / s
1.1071 = (x - 69.0) / 1.1071
1.226 = x - 69.0
1.226 + 69.0 = x
x = 70.226
Hence, the height of a man with a Z- Score of 1.1071 is 70.226.
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A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes) between each of the sides?
Answers
A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to \(180^{o}\). The measures of the internal angles of the triangle given in the question are A = \(52.6^{o}\), B = \(59.4^{o}\), and C = \(68^{o}\).
A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to \(180^{o}\).
Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.
Apply the Cosine rule to have:
\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2ab Cos C
So that;
\(7^{2}\) = \(6^{2}\) + \((6.5)^{2}\) - 2(6 * 6.5) Cos C
49 = 36 + 42.25 - 78Cos C
78 Cos C = 78.25 - 49
= 29.25
Cos C = \(\frac{29.25}{78}\)
= 0.375
C = \(Cos^{-1}\) 0.375
= 67.9757
C = \(68^{o}\)
Apply the Sine rule to determine the value of B,
\(\frac{b}{Sin B}\) = \(\frac{c}{Sin C}\)
\(\frac{6.5}{Sin B}\) = \(\frac{7}{Sin 68}\)
SIn B = \(\frac{6.5 *Sin 68}{7}\)
= 0.861
B = \(Sin^{-1}\) 0.861
= 59.43
B = \(59.4^{o}\)
Thus to determine the value of A, we have;
A + B + C = \(180^{o}\)
A + \(59.4^{o}\) + \(68^{o}\) = \(180^{o}\)
A = \(180^{o}\) - 127.4
= 52.6
A = \(52.6^{o}\)
Therefore the sizes of the internal angles of the triangle are: A = \(52.6^{o}\), B = \(59.4^{o}\), and C = \(68^{o}\).
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how to find the roots of a third degree polynomial
Answers
To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.
The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.
If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.
It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.
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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.
To find the roots of a third degree polynomial, we can follow these steps:
First, check if there are any rational roots using the Rational Root Theorem. The Rational Root Theorem states that if a polynomial has a rational root, it will be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.Use synthetic division to divide the polynomial by a linear factor. Synthetic division is a method used to divide a polynomial by a linear factor, which helps us find the remaining quadratic equation.Factor the quadratic equation obtained from synthetic division. This can be done by using the quadratic formula or by factoring further if possible.Once the quadratic equation is factored, we can find the roots by setting each factor equal to zero and solving for the variable.Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.
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in how many ways can 9 yellow marbles be divided among 4 distinguishable cups?
Answers
The number of ways 9 yellow marbles can be divided among 4 distinguishable cups is 126.
Dividing 9 marbles among 4 cups is a combination problem. The number of combinations is given by the formula C(n + r - 1, r - 1), where n is the number of items (marbles) and r is the number of groups (cups). In this case, n = 9 and r = 4. Plugging these values into the formula, we get:
C(9 + 4 - 1, 4 - 1) = C(12, 3) = (12 * 11 * 10) / (3 * 2 * 1) = 220
This means that there are 220 ways to divide 9 yellow marbles into 4 distinguishable cups. However, since the cups are distinguishable, each combination is counted multiple times, once for each permutation of the cups. The number of permutations of n items taken r at a time is given by the formula n! / (n - r)!. In this case, the number of permutations is 4! = 4 * 3 * 2 * 1 = 24.
So, the total number of ways to divide 9 yellow marbles into 4 distinguishable cups is 220 / 24 = 9. This means that there are 126 distinct ways to divide 9 yellow marbles among 4 distinguishable cups.
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Maths, please help, I'm very stuck.
Answers
The scale of the map is 1:2, the distance from Averton to Charlbrough is 12 kilometers, and the distance in the map is 6.25 cm.
What is the scale on the map?We know that 25 kilometers are represented in the map using only 12.5 centimeters. Now, let's simplify this:
25 kilometers / 12. 5 cm = 2
This can be expressed as a scale of 1:2 in which each centimeter represents 2 kilometers.
What is the distance between Averton to Charlbrough?We know the distance on the map is 6 cm, let's now convert this to kilometers:
6cm x 2 = 12 kilometers
What is the distance on the map?We know the distance is 12.5, using this information let's find out the distance on the map.
12.5/ 2 =6.25 cm.
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The Pacific Ocean covers about 46% of Earth. If P represents the area of the Pacific Ocean and E represents the area of Earth, write an equation for this situation.
Answers
Answer:
p = .46E
Step-by-step explanation:
Explain how to draw a tree diagram of outcomes for this situation: Julie went to visit her aunt and uncle for the weekend. She took the following clothes: two pairs of slacks – one brown, one black; three sweaters – one tan, one red and one white; two shirts – one white and one gray.
Answers
The total number of the outcomes will be 12. The table is shown below with all the outcomes.
What are sample?A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
Julie went to visit her aunt and uncle for the weekend.
She took the following clothes:
two pairs of slacks – one brown, one black;
three sweaters – one tan, one red and one white;
two shirts – one white and one gray.
Then the total number of the outcomes will be
Total outcomes = 2 x 3 x 2
Total outcomes = 12
The table is shown below with all the outcomes.
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help me answer this please!! will mark brainliest
Answers
Answer:x=3.5
Step-by-step explanation:if DEF~XYZ
DE/XY=DF/XZ
XZ=DF×XY/DE
XZ=10.5
3x=10.5
x=3.5
Please help
I know the answer but I need to know the work please explain
Answer is b
Answers
Answer:
\(\huge\boxed{\sf B.}\)
Step-by-step explanation:
Geometric Mean is a type of average in which we multiply the number given and put a square root on it.
Geometric Mean of 4 and 7:
\(\sf \sqrt{4*7} \\\\\sqrt{2^2*7} \\\\= 2\sqrt{7} \\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807(c+5)/(-2)=13
Someone please help
Answers
Answer:
-31
Step-by-step explanation:
-2((c+5)/(-2))=13*-2
c+5=-26
c=-31
Answer:
c = -31
Step-by-step explanation:
(c+5)/(-2)=13
Multiply each side by -2
(c+5)/(-2) *-2=13* -2
c+5 = -26
Subtract 5 from each side
c+5-5 = -26-5
c = -31
( 16.9 - 5.47 ) x 7.09 plzz i want with full solution
Answers
Answer:
81.03
Step-by-step explanation:
(16.9-5.47)×7.09
(11.43)×7.09
81.0387
OR
81.03
HOPE THIS HELPS YOU
Share £747 in the ratio 2:7 between Tom and Ben.
Tom will get
£
Ben will get
£
Answers
\(tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps\)
Answer:
Tom=£166
Ben=£581
Step-by-step explanation: