Answer:
x=4
Step-by-step explanation:
1. 2x+4=12
2. 2x+4-4=12-4
3. 2x=8
4. 2x/2=8/2
5. x=4
Answer:
x=4
Step-by-step explanation:
2x+4=12
Step 1: subtract both sides by 4
4-4=0 and 12-4=8
Now you are left with 2x=8
Step 2: divide 2 on both sides
2/2=1x and 8/2=4
Therefore, x=4
Triangle ABC has coordinates A (0, 4), B (1, 3), and C (-2, 4). If triangle ABC is reflected over the x axis and then translated such that (x, y) → (x+3, y-1), what is the resulting image of point C?
The resulting image of point C is C''(x, y) = (1, - 5).
What are the coordinates of the image of a point by using a rigid transformation?
The triangle seen on the Cartesian plane is generated by three points on that plane. The image of the triangle is the result of reflecting the three vertices over the x axis and later translating them 3 units in the +x direction and a unit in the - y direction, two kinds of rigid transformations.
Now we proceed to show the entire procedure:
Reflection over the x-axis
C'(x, y) = C(x, y) + (0, - 2 · c)
C'(x, y) = (- 2, 4) + (0, - 8)
C'(x, y) = (- 2, - 4)
Translation
C''(x, y) = (- 2, - 4) + (3, - 1)
C''(x, y) = (1, - 5)
The resulting image of point C is C''(x, y) = (1, - 5).
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Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
6x + 8y = 0
-7x + y = 31
Step 2: Rewrite Systems
-7x + y = 31
Add 7x to both sides: y = 7x + 31Step 3: Redefine Systems
6x + 8y = 0
y = 7x + 31
Step 4: Solve for x
Substitution
Substitute in y: 6x + 8(7x + 31) = 0Distribute 8: 6x + 56x + 248 = 0Combine like terms: 62x + 248 = 0Isolate x term: 62x = -248Isolate x: x = -4Step 4: Solve for y
Define equation: -7x + y = 31Substitute in x: -7(-4) + y = 31Multiply: 28 + y = 31Isolate y: y = 3REALLY NEED SOME HELP
Answer:
I am not sure if it's right or not but if it's addition the sum would be 36 if it was multiplication the sum would be 1620
f(x) = -x squared + 2x + 8
guys i’m gonna fail math
Final answers:
Vertex: (1,9)Domain: all real numbers, or (-infinity, infinity)Range: (-infinity, 9]Maximum: 9; there is no minimumy-intercept: (0,8)Interval of increase: (-infinity, 1)Interval of decrease: (1, infinity)Average rate of change: 3 or -3Explanations
Vertex: this is the maximum or minimum point on the graph, which is (1,9).Domain: this is everywhere that the function is defined. Since there are no values of x for which -x^2 + 2x + 8 is not defined, the domain is all real numbers, or \((-\infty, \infty)\).Range: this is all y-values the function takes. We can see from the graph that the function takes on all values less than or equal to 9, so the range is (-infinity, 9].Maximum or minimum: the maximum value is 9. There is no minimum value.y-intercept: this is the point where the graph intersects the y-axis, which is (0,8) or simply 8. You can think of this as the value of f(x) when x is zero.Interval of increase: f(x) is increasing on (-infinity, 1).Interval of decrease: f(x) is decreasing on (1, infinity).Average rate of change: the question is asking us to find the slope between the vertex and one of the x-intercepts – I will use (-2,0). The vertex is (1,9). The average rate of change is the slope between these points, which is (9-0)/(1-(-2)), or 3. If you instead used the x-intercept of (4,0), you would get an answer of -3.the ratio of the surface areas of two similar cylinders is 4/25. the radius of the circular base of the larger cylinder is 0.5 centimeters. what is the radius of the circular base of the smaller cylinder? drag a value to the box to correctly complete the statement.
Answer:
.2 Cm
Step-by-step explanation:
Convert 0.0045 to a percent.
Select one:
0.045%
0.45%
4.5%
45%
Answer: 0.045%
Step-by-step explanation:
You now have constructed a utility function that measures how much you value having total assets worth x dollars (x 20). This utility function is u(x) = V1. Compare the utility of reducing your total assets next year by the cost of the earthquake insurance with the expected utility next year of not taking the earthquake insurance. Should you take the insurance?
To determine whether you should take earthquake insurance, you need to compare the utility of reducing your total assets by the cost of the insurance with the expected utility of not taking the insurance. Let's denote the cost of the insurance as C and the probability of an earthquake causing financial loss as P.
If you take the insurance, your total assets will be (x - C), and the utility will be u(x - C) = V1(x - C).
If you don't take the insurance, the expected utility can be calculated as the weighted average of the utility in case of an earthquake (which causes a financial loss) and the utility in case there is no earthquake. Let's denote the financial loss caused by an earthquake as L. The expected utility of not taking the insurance is:
Expected utility = P * u(x - L) + (1 - P) * u(x) = V1(P * (x - L) + (1 - P) * x)
Now, compare the utilities:
- If u(x - C) > Expected utility, then you should take the insurance.
- If u(x - C) < Expected utility, then you should not take the insurance.
- If u(x - C) = Expected utility, then you are indifferent between taking and not taking the insurance.
Use the provided utility function and the specific values for x, C, L, and P to make your decision.
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Just tell me why the answer is right ( Will give brainliest)
Answer:
D
Step-by-step explanation:
the answer you chose is correct because if you isolate x (shown below), you end up with -5. there is also no equal sign under the less than symbol, so that means it is an open circle, which it is. however, you must flip the sign when multiplying or dividing by a negative number in inequalities, so this becomes a greater than symbol, showing that x is greater than -5. this accurately portrays the given inequality on the number line.
-5x-6<19
-5x<25
x>-5
Answer:
D
Step-by-step explanation:
and because its right
Solve 4x + 4>16
Need help with this and how to do it
Answer:
x > 3
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
pls help me ASAP
ty
Step-by-step explanation:
D = b² - 4ac
#1D = 10² - 4 · 3 · 2
D = 100 - 24
D = 76
#2D = (-5)² - 4 · 1 · (-4)
D = 25 - (-16)
D = 26 + 16
D = 42
#3D = 7² - 4 · 1 · (-8)
D = 49 - (-32)
D = 49 + 32
D = 81
#4D = 0² - 4 · 1 · (-9)
D = 0 - (-36)
D = 36
#5D = (-6)² - 4 · 5 · 10
D = 36 - 200
D = - 164
The cypress beam found in the tomb of Sneferu in Egypt contained 55% of the radioactive carbon -14 that is found in living cypress wood. Estimate the age of the tomb. (Half-life of Carbon -14 is approximately 5600 years; A = A_0 e^kt)
Previous question
Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.
To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:
A = A₀ * e*(kt)
Where:
A = Final amount of radioactive substance (55% of the original C-14 content)
A₀ = Initial amount of radioactive substance (100% of the original C-14 content)
k = Decay constant (ln(2) / half-life of C-14)
t = Time (age of the tomb)
Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:
k = ln(2) / 5600 years
Now we can plug in the values:
0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)
Dividing both sides by A₀:
0.55 = e*((ln(2) / 5600 years) * t)
Taking the natural logarithm of both sides:
ln(0.55) = (ln(2) / 5600 years) * t
Now we can solve for t, the age of the tomb:
t = (ln(0.55) * 5600 years) / ln(2)
Evaluating the expression:
t ≈ 3,970 years
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A tunnel is constructed with a semielliptical arch. The width of the tunnel is 70 feet, and the maximum height at the center of the tunnel is 20 feet. What is the height of the tunnel 10 feet from the edge? round your answer to the hundredths place.
Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.
The following is the equation for a horizontal ellipse of center with coordinates (h,k):
(x - h)²/a² + (y - k)²/b² = 1.
In relation to this issue, we have that:
The origin is where the center is.
Since the major axis is 70, 2a = 70 and a = 35.
The maximum height is 20, therefore b is equal to 20.
As a result, the ellipse's equation is as follows:
x²/35² + y²/20² = 1.
It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:
25²/35² + y²/20² = 1
0.51 + y²/20² = 1
y²/20² = 0.49
y² = 20² x 0.49
y =√(20² x 0.49)
y = 14 feet.
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Miranda goes shopping for some new cowgirl boots to wear for her concert. She finds some that are $225.60, and they are on sale for 80% of the original cost. How much will she pay for the boots?
Answer:
$180.48
Step-by-step explanation:
225.60 * .8 = 180.48
Answer:
$45.12
Step-by-step explanation:
100 - 80 = 20
225.60 x .20 = $45.12
give me brain like brainliest
The high for Monday was 0 degrees Fahrenheit and the low was -4 degrees Fahrenheit. What is the difference between the high and low temperature?
Carla is getting a canoe it costs 80$ for 2 hours and $110 for 4 hours what is the rate of change for this situation
hi plz answer as soon as possible this is due at 1:15
Who am I? I was the Governor of Tennessee, I was the General of the Texas Army and Volunteer army. I was elected as first President of the Texas, not once but twice. I died in Huntsville, Texas after serving as governor of Texas and representing our state in the Senate.
Answer:
I believe thats Sam Houston
Answer:
Samuel Houston
Step-by-step explanation:
A quadrilateral with all sides is equal, opposite angles are congruent and diagonals bisected each at a right angle.
Answer:
Rhombus
Step-by-step explanation:
Rhombus has all the properties of a parallelogram and has additional features : like -
- all sides r equal
- diagonals bisect each other at a right angle
I hope im right
For what value of x is JKLM a parallelogram?
4x + 13
4x-1
3x + 20
5X-8
To represents JKLM is a parallelogram the required value of x is equal to 7.
In the parallelogram JKLM,
Let us consider the measure of each side in form of 'x' is represented by :
JK = 4x + 13
KL = 4x - 1
LM = 3x + 20
MJ = 5x - 8
Opposite side of the parallelogram JKLM are congruent to each other.
JK = LM
⇒ 4x + 13 = 3x + 20
⇒ 4x - 3x = 20 - 13
⇒ x = 7
When
KL = MJ
⇒ 4x - 1 = 5x - 8
⇒ 5x - 4x = 8 - 1
⇒ x = 7
JK = 4(7) + 13
= 41
LM = 3(7) + 20
= 41
KL = 4(7) -1
= 27
MJ = 5(7) - 8
= 27
Therefore, the value of x which represents that JKLM is a parallelogram is equal to 7.
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0.3d-1/3=0.84:7/15 if this my real number and giving 25
Answer:
skp
Step-by-step explanation:
2+2=
4
7
8
6 help me
the specification for the clearance is 0.015 to 0.063 mm. what is the probability that the specification is met?
To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.
Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:
z = (x - μ) / σ
where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).
Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:
z1 = (0.015 - 0.039) / 0.008 = -3
z2 = (0.063 - 0.039) / 0.008 = +3
We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.
Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.
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a metric is a single, quantifiable type of data that can be used for what task?
A metric is a single, quantifiable type of data that can be utilized for various tasks in different domains. Metrics serve as essential tools for measuring progress, assessing performance, and making informed decisions.
By converting complex information into manageable and comparable units, metrics enable individuals and organizations to monitor their objectives and drive improvement.
In business, metrics are often employed to evaluate the success of marketing campaigns, employee performance, or financial growth. They assist in identifying trends, pinpointing areas that need attention, and guiding strategic planning. Key performance indicators (KPIs) are a common type of metric used to measure the effectiveness of business processes and track progress toward organizational goals.
In scientific research, metrics provide valuable insight into the progress and impact of studies. For example, citation metrics measure the influence of a published work within a given field. Metrics also facilitate the assessment of experimental results and the development of new theories, ultimately advancing scientific knowledge.
In education, metrics serve as essential tools for gauging student performance and the quality of educational programs. They provide data on student learning outcomes, helping educators refine their teaching methods and tailor instruction to the needs of individual learners.
Overall, a metric is a versatile, quantifiable data type that plays a vital role in assessing and improving various aspects of performance across multiple domains. By offering concrete, measurable information, metrics empower decision-makers to make informed choices and drive progress.
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How many ounces are in 2 1/2 gallons?
A flagpole casts a shadow 15 feet long. Brad is 6 feet tall. If Brad casts a 4. 5ft shadow, how tall is the flag pole? Please hurry
The required height of the flagpole is approximately 20 feet.
To determine the height of the flagpole, we can set up a proportion using the lengths of the shadows:
Given:
Height of Brad (B) = 6 ft
Length of Brad's shadow (SB) = 4.5 ft
Length of flagpole's shadow (SF) = 15 ft
Using the concept of similar triangles, we can set up the following proportion:
(B / SB) = (H / SF)
Substituting the given values:
(6 ft / 4.5 ft) = (H / 15 ft)
To find the height of the flagpole (H), we can solve this proportion:
(6/4.5) = (H/15)
1.33 = H / 15
H = 1.33 * 15
H ≈ 20 ft
Therefore, the height of the flagpole is approximately 20 feet.
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please help! i will mark you as brainliest :) (worth 30 points)
Answer:
Step-by-step explanation:
what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)
which statement is correct when we fail to reject the null hypothesis? group of answer choices it means we reject the alternative hypothesis it means we reject the null hypothesis it means we accept the alternative hypothesis
When we fail to reject the null hypothesis, it means we reject the alternative hypothesis.
When we fail to reject the null hypothesis, it means that we do not have enough evidence to support the alternative hypothesis. Another theory implies that there is a significant relationship between the two variables. Whereas, the null hypothesis states that there is no relationship between the two variables. In statistics, we often come across different opinions.
In general, the purpose of alternative hypothesis testing is to show that, under certain conditions, there is sufficient evidence to support the null hypothesis rather than certain test results (null hypothesis). It is often followed as a research hypothesis because it is based on However, research hypotheses sometimes overlap with the null hypothesis. Therefore, it does not necessarily mean that we accept the alternative hypothesis, but rather we simply cannot reject the null hypothesis.
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A rectangle room has a perimeter of 70m.what would be the length of the longest side of the room?
Answer:
The longest side of room is 24m
Probability:
Person A and Person B are playing archery together. Assume their abilities to fire the arrow at the target are exactly the same, and the probability of getting the target is 0.5 for both of them.
Now that given A has fired 201 arrows and B has fired 200 arrows, what is the probability that A gets more targets than B?
If Person A and Person B are playing archery together. the probability that A gets more targets than B is 0.5, or 50%.
How to find the probability?The number of targets hit by A and B follows a binomial distribution with parameters n = 201 and n = 200, respectively, and p = 0.5.
To find the probability that A gets more targets than B, we need to find the probability that A hits more than 100 targets (since 100 is the average number of targets hit by each player). We can use the normal approximation to the binomial distribution to do this.
The mean of the difference in the number of targets hit by A and B is:
E(A - B) = E(A) - E(B) = np - np = 0
The variance of the difference in the number of targets hit by A and B is:
Var(A - B) = Var(A) + Var(B) = np(1-p) + np(1-p) = 100
The standard deviation of the difference is then:
SD(A - B) = sqrt(Var(A - B)) = 10
Using the normal distribution approximation, we can standardize the difference in number of targets:
Z = (X - E(A - B)) / SD(A - B)
where X is the number of targets that A hits.
P(A hits more targets than B) = P(A - B > 0)
= P(Z > (0 - 0) / 10)
= P(Z > 0)
= 0.5
Therefore, the probability that A gets more targets than B is 0.5, or 50%. This means that there is an equal chance that A will hit more targets than B as there is that B will hit more targets than A.
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