Answer: U'=(8, 5)
V'=(7, 5)
W'=(6, 10)
Step-by-step explanation:
When rotated around the origin by 180 degrees, the triangle will have all its coordinates' x and y values negated.
U=(-8, -5) ==> U'=(8, 5)
V=(-7, -5) ==> V'=(7, 5)
U=(-6, -10) ==> W'=(6, 10)
what does x2 + y2 equal.
If you want someone to do your homework assignments for you (math, English) for a cheap price lmk
Answer:
I do lol
Step-by-step explanation:
Answer:
why would you wanna do someone's homework on Math and English?
Step-by-step explanation:
they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.
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A human gene carries a certain disease from the mother to the child with a probability rate of 57%. That is, there is a 57% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that all three of the children get the disease from their mother. Round to the nearest thousandth.
3/57×100
1/19×100
100/19
3.263157.
This is all that I can do to help you
\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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i really do need help with this geometry questions please hlep
the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
How to find the coordinates of point x?
We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1
First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:
L = 7 - (-5) = 12
Then the length of segment PQ is 12 units, if we divide that in 3 we will get:
12/3 = 4 units.
So the segment PQ can be divided into 3 segments of 4 units each.
If the ratio PX to XQ is 2:1
Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.
Then the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
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Find the perimeter of each figure
The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.
What is a hexagon?A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.
To calculate the perimeter of this hexagon, we must first identify the length of each side.
All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.
The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get
5 + 4 + 4 + 5 + 3 + 3 = 24.
Thus, the perimeter of the hexagon is 24 inches.
Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.
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Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) squared = 73 squared.
3 squares are positioned to form a right triangle. The small square is labeled 28, medium square is 45, and large square is not labeled.
Which best describes Nadia’s solution?
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
She is incorrect because she should have used 45 as the length of the hypotenuse.
She is incorrect because she should have squared each leg length and then found the sum.
She is correct because the hypotenuse is the longest side of the triangle.
Nadia's solution is incorrect because she should have squared each leg length and then found the sum.
What is the Pythagorean theorem?A right angled triangle is a three-sided polygon. The three sides are the length, base and the hypotenuse. The hypotenuse is the longest side of the triangle. The sum of angles in a right angled triangle is 180 degree.
The Pythagorean theorem can be used to determine the length of the hypotenuse given the lengths of the other sides of the triangle. According to this theorem, the sum of the square of the two sides is equal to the length of the hypotenuse.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse28² + 45²
= 784 + 2025 = 2809
Hypotenuse = √2809= 53
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Answer:c
Step-by-step explanation:
I did the quiz
find the side of a cube whose surface area is 216 sq. m
Answer:
6 m
Step-by-step explanation:
Side = x
Surface area = \(6x^2\)
\(6x^2 = 216\)
\(x^2 =36\)
x = 6
The answer is 6m
Hope this helps :)
Have a nice day!
The side length of the cube is calculated as 6m
Data;
Surface Area = 216 sq. medge length = xSurface Area of a CubeThe surface area of a cube is given as
\(A = 6x^2\)
This indicates all the six sides in the cube.
Let's substitute the values and solve for x
\(A = 6x^2\\216 = 6x^2\\\frac{216}{6} =\frac{6x^2}{6} \\x^2 = 36\\x= \sqrt{36} \\x = 6\)
The side length of the cube is calculated as 6m
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Name the angle in three kinds of notation.
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
Solve the following inequality. 2(P + 1) > 7 + P
Answer:
\(p > 5\)
Step-by-step explanation:
\(2(p + 1) > 7 + p \\ expanding \: the \: bracket \\ 2p + 2 > 7 + p \\ collect \: like \: terms \\ 2p - p > 7 - 2 \\ p > 5\)
I hope this helps
Pleaseeeeeeeeeeeee help!
The symbolic quantified statement is given as:
For all real integers x and y, if x³ = y³, then x = y.
Using quantifiers, this can be written as:
∀x,y∈ℝ, (x³ = y³) → (x = y)
What is the explanation for the above?
The symbolic quantified statement represents the original sentence using logical symbols and quantifiers.
The universal quantifier (∀) is used to denote "for all," while the implication arrow (→) represents "if... then." The statement asserts that if the cubes of any two real integers x and y are equal, then x and y are equal as well.
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I will give brainliest :)
True or False:
A solid dot on a number line graph indicates that the
given number is included as a possible solution to the
inequality
• True?
• False?
Answer:
True
Step-by-step explanation:
If it's a open dot it can't be a possible solution. Solid dots can be a possible solution.
3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
Find the area and the circumference of a circle with radius 5m Use the value 3.14 for n, and do not round your answers.
Answer:
78.54
Step-by-step explanation:
The perimeter of a rectangular field is 282 yards. If the width of the field is 52 yards, what is its length?
Answer: 89 yards
Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.
Answer:
75
Step-by-step explanation:
math
Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas.
sin(u) = -3/5, 3π/2 < u < 2π
sin(2u) =
cos(2u) =
tan(2u)
Answer:
\(\sin(2u)=-\dfrac{24}{25}\)
\(\cos(2u)=\dfrac{7}{25}\)
\(\tan(2u)=-\dfrac{24}{7}\)
Step-by-step explanation:
Given sin(u) = -3/5, use the trigonometric identity sin²θ + cos²θ = 1 to find cos(u):
\(\begin{aligned}\sin^2(u)+\cos^2(u)&=1\\\\\left(-\dfrac{3}{5}\right)^2+\cos^2(u)&=1\\\\\dfrac{9}{25}+\cos^2(u)&=1\\\\\cos^2(u)&=1-\dfrac{9}{25}\\\\\cos^2(u)&=\dfrac{16}{25}\\\\\cos(u)&=\dfrac{4}{5}\end{aligned}\)
As u is in the interval 3π/2 < u < 2π, the angle is in quadrant IV of the unit circle. In quadrant IV, cos is positive and sin is negative. Therefore:
\(\sin(u)=-\dfrac{3}{5} \qquad \cos(u)=\dfrac{4}{5}\)
Calculate tan(u) by using the identity tanθ = sinθ/cosθ:
\(\tan(u)=\dfrac{-\frac{3}{5}}{\frac{4}{5}}=-\dfrac{3}{4}\)
\(\boxed{\begin{minipage}{5 cm}\underline{Double Angle Identities}\\\\$\sin (2\theta)=2\sin \theta \cos \theta $\\\\$\cos (2\theta)=\cos^2\theta-\sin^2\theta$\\\\$\tan (2\theta)=\dfrac{2\tan\theta}{1 -\tan^2\theta}$\\\end{minipage}}\)
Use the double angle identities to find sin(2u), cos(2u) and tan(2u).
\(\hrulefill\)
\(\begin{aligned}\sin (2u)&=2\sin u \cos u\\\\&=2\left(-\dfrac{3}{5}\right) \left(\dfrac{4}{5}\right)\\\\&=-\dfrac{24}{25}\end{aligned}\)
\(\hrulefill\)
\(\begin{aligned}\cos (2u)&=\cos^2u - \sin^2u\\\\&=\left(\dfrac{4}{5}\right)^2-\left(-\dfrac{3}{5}\right)^2\\\\&=\dfrac{16}{25}-\dfrac{9}{25}\\\\&=\dfrac{7}{25}\end{aligned}\)
\(\hrulefill\)
\(\begin{aligned}\tan (2u)&=\dfrac{2\tan(u)}{1 -\tan^2(u)}\\\\&=\dfrac{2\left(-\frac{3}{4}\right)}{1 -\left(-\frac{3}{4}\right)^2}\\\\&=\dfrac{-\frac{3}{2}}{1 -\frac{9}{16}}\\\\&=\dfrac{-\frac{3}{2}}{\frac{7}{16}}\\\\&=-\dfrac{3}{2} \cdot \dfrac{16}{7}\\\\&=-\dfrac{48}{14}\\\\&=-\dfrac{48\div2}{14\div2}\\\\&=-\dfrac{24}{7}\end{aligned}\)
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
It takes 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, 13 inches tall. How long will it take the same hose to fill an aquarium measuring 25 inches by 26 inches by 35 inches
Answer:
46.74 minutes
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Answer:
Circ=37.704, Area= 112.112
Step-by-step explanation:
Circumference= pi *Diameter
Taking pi=3.142, Diameter=12
Circ=3.142*12=37.704
Area= pi * r^2
Area= 3.142*6*6=112.112
How to find derivative of x^5(1- (5/x+8))
Answer:
\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
Step-by-step explanation:
\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
The given pair of triangles are similar. Find X and Y.
Given that the pair of triangles are similar, then their corresponding sides are in proportion, this means that:
\(\frac{\text{longer leg of the triangle on the left}}{\text{shorter leg of the triangle on the left}}=\frac{\text{longer leg of the triangle on the right}}{\text{shorter leg of the triangle on the right}}\)Substituting with the information of the diagram:
\(\frac{27}{x}=\frac{x}{9}\)Cross multiplying:
\(\begin{gathered} 27\cdot9=x\cdot x \\ 243=x^2 \\ \sqrt[]{243}=x \\ 15.58\approx x \end{gathered}\)Considering the triangle on the left, and applying the Pythagorean theorem with c = y (the hypotenuse), a = 27, and b = x (the legs), we get:
\(\begin{gathered} c^2=a^2+b^2 \\ y^2=27^2+x^2 \\ y^2=729+243 \\ y^2=972 \\ y=\sqrt[]{972} \\ y\approx31.18 \end{gathered}\)
y-7 = (12-x)2 in vertex form
Answer:
y = -2x + 31
Step-by-step explanation:
Vertex form a parabola refers to a place or a point where it turns. It takes the form of;
y = mx + c
From our question, we are supposed to convert the equation y-7 = (12-x)2 into vertex form.
To begin, open the brackets on the RHS;
y - 7 = 24 - 2x.
Then move -7 to the RHS which becomes the positive.
Y = 24 - 2x + 7
= 31 - 2x
Convert it to the form y = mx + c.
y = -2x + 31
This is the vertex form, y = -2x + 31.
Note:
For a standard form/quadratic, the equation has to be in the form ax² + bx + c = ySuppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10.
. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer: The height of the water was 2 inches before any water was added.
please helppppppppppppppppppppppppppppp
Answer:51
Step-by-step explanation:i did this quizzie before
PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST
Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.
The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?
The residual value of the graph is 5.89
What is residual value?The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y
Given that, The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle.
We need to find the residual of the equation,
Residual = actual y value − predicted y value,
Therefore,
The equation is ;
ŷ = 3.6 + 0.113x
Let the diagonal be 4.472 in²
Finding for x,
y = 3.6 + 0.113(4.472)
y = 4.10
In the table, the value of y for the x = 4.472 in is 10, but here we get 4.10
Therefore, the residual value = 10-4.10 = 5.89
Hence, the residual value of the graph is 5.89
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perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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