Answer:
Step-by-step explanation:
m = -1/3 = Δy/Δx = (2 - 4) / (x - (-1)) = -2/(x + 1)
-1/3 = -2/(x + 1)
-1(x + 1) = 3(-2)
-x - 1 = -6
- x = - 5
x = 5
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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GEOMETRY!!! Will give brainliest
Answer:
TIME REMAINING
54:28
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
Step-by-step explanation:
TIME REMAINING
54:28
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
What is the surface area of the triangular prism?
Answer:
2,376 ft²Step-by-step explanation:
surface area = bh + L(s1 + s2 + s3)
where b = 24 ft.
h = 9 ft.
s1 = 15 ft.
s2 = 15 ft.
s3 = 24 ft.
L = 40 ft.
plugin values into the formula:
A = 24*9 + 40(15 + 15 + 24)
= 216 + 40(54)
= 2,376 ft²
can anyone find the value of x?
Answer:
88.16 units
Step-by-step explanation:
The line at the far left is also = x
For right triangles
Tan (angle ) = opposite leg / adjacent leg
for this triangle tan 10 = x / 500
rearrange to x = 500 tan 10° = 88.16 units
select all the common denominator for 3/8 and 5/6
The required common denominator for \(\frac{3}{8} and \frac{5}{6}\) is 24.
How to find Common denominator?The common denominator for \(\frac{3}{8}\) and \(\frac{5}{6}\) is the least common multiple (LCM) of their denominators.
The prime factorization of 8 is \($2\cdot2\cdot2$\) and the prime factorization of 6 is \($2\cdot3$\).
The LCM of 8 and 6 is the product of the highest power of each prime factor that appears in either factor.
Therefore, the LCM of 8 and 6 is \($2\cdot2\cdot2\cdot3 = 24$\).
To convert \(\frac{3}{8}\) to an equivalent fraction with a denominator of 24, we need to multiply both the numerator and denominator by 3:
\($\frac{3}{8} \cdot \frac{3}{3} = \frac{9}{24}$$\)
To convert \(\frac{5}{6}\) to an equivalent fraction with a denominator of 24, we need to multiply both the numerator and denominator by 4:
\($\frac{5}{6} \cdot \frac{4}{4} = \frac{20}{24}$\)
So, the common denominator for \(\frac{3}{8} and \frac{5}{6}\) is 24.
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Consider the integral - tan(0) · ln(3 cos(0)) dė:
.
This can be transformed into a basic integral by letting
In (3 cos (0))✓ O O and
U=
du = -tan (0)✓o de
After perfroming the substitution, you obtain the integral
du
\(\displaystyle \int -\tan(\theta )\cdot \ln(3\cos(\theta )) ~~ d\theta \\\\[-0.35em] ~\dotfill\\\\ u=\ln(3\cos(\theta ))\implies \cfrac{du}{d\theta }=\cfrac{1}{3\cos(\theta )}\cdot -3\sin(\theta ) \\\\\\ \cfrac{du}{d\theta }=-\tan(\theta )\implies \cfrac{du}{-\tan(\theta )}=d\theta \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \int -\tan(\theta )\cdot u\cdot \cfrac{du}{-\tan(\theta )}\implies \int u\cdot du\)
What is the value of 5(-6)
Answer:
-30
Step-by-step explanation:
Multiply 5 by -6
Answer:
- 30 because
Step-by-step explanation:
5(-6) = -30/1 = -30
Spelled result in words is minus thirty.
How do you solve fractions step by step?
Multiple: 5 * (-6) = -30
One fourth of the opposite of the difference of five and a number is less than twenty.
Answer:
its 10
Step-by-step explanation:
'of' means multiply
1/4 of (1/4 times ) the opposite of (-) difference of 5 and a number (5-n) is lesss than 20 (<20)
1/4 times -(5-n)<20
multiply both sides by 1/4
-(5-n)<5
multiply both sides by -1 remember to flip sign
5-n>-5
add n
5>n-5
add 5
10>n
n<10
the number is any number less than 10
y and z are whole numbers y<70 z 60 work out the largest possible value of y and z
Answer:
a) 12
b) 129
Step-by-step explanation:
a)
\(w, x \in \mathbb{Z}_{\ge 0}\)
\(w>50\\x<40\)
For the smallest value of \(w-x\), we gotta figure out the smallest value for w and the highest value for x.
\(w>50 \Rightarrow \text{ smallest value is } 51\)
For \(x\), once \(-(-x)=x\), we conclude that \(x\) cannot be negative and therefore, \(x=39\).
\(51-39=12\)
b)
\(y, z \in \mathbb{Z}_{\ge 0}\)
\(y<70\\z\leq 60\)
For the largest value of \(y+z\), we gotta figure out the highest value for y and z.
\(y<70 \Rightarrow \text{ highest value is } 69\)
\(z\leq 60 \Rightarrow \text{ highest value is } 60\)
\(y+z=69+60=129\)
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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Rotation - Question 5
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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Help me out with this please!
No links to websites other than Brainly.
Problem 1
Answers:
It costs 1.72 dollars to send a letter that is 1.5 ounces
It costs 1.72 dollars to send a letter that is 2 ounces
In short, both answers are 1.72 dollars
--------------------------------
Explanation:
The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.
A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.
Here are the rules for this function
If \(0 < w \le 1\), then F(w) = 1.15If \(1 < w \le 2\), then F(w) = 1.72If \(2 < w \le 3\), then F(w) = 2.29If \(3 < w \le 3.5\), then F(w) = 2.86As you can see, the definition of F(w) will change depending on what w is.
If the weight is w = 1.5 ounces, then we're on the interval \(1 < w \le 2\) since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.
If you wanted, you could rewrite those four bulleted points into this equivalent form
If \(0 < w \le 1\), then the cost is $1.15 to send the letterIf \(1 < w \le 2\), then the cost is $1.72 to send the letterIf \(2 < w \le 3\), then the cost is $2.29 to send the letterIf \(2 < w \le 3.5\), then the cost is $2.86 to send the letterwhich is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.
A letter that's 2 ounces will cost $1.72 as well since w = 2 makes \(1 < w \le 2\) true.
In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.
===========================================================
Problem 2
Answer: The graph is shown below (attached image)
--------------------------------
Explanation:
We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).
Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.
For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.
As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}
The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.
In d e f, d f equals 16 and F equal 26. Find Fe to the nearest tenth
Answer:
14.4 units
Step-by-step explanation:
In Trigonometry
\(\cos \theta =\frac{Adjacent}{Hypotenuse}\\\)
In Triangle DEF,
\(\cos F =\dfrac{EF}{DF}\\\cos 26^\circ =\dfrac{EF}{16}\\EF=16 \times \cos 26^\circ\\=14.4$ units (correct to the nearest tenth).\)
CAN SOMEONE HELP ME AGAIN WITH THIS GEOMETRY?
Answer:
15 degrees
Step-by-step explanation:
Express the the average distance from a point in a ball of radius 4 to its center as a triple integral.
NOTE: When typing your answers use "rh" for rho,rho, "ph" for ϕϕ, and "th" forθθ.
Average Distance = ∫θ2θ1∫ϕ2ϕ1∫rho2rho1drho dϕ dθrho1=rho2=ϕ1=ϕ2=θ1=θ2=∫θ1θ2∫ϕ1ϕ2∫rho1rho2drho dϕ dθrho1=rho2=ϕ1=ϕ2=θ1=θ2=
Evaluate the integral Average Distance =
Sphere:
A sphere is a three-dimensional figure. Volume of sphere is V=43πr3V=43πr3 where rr denotes the radius of the sphere.
In ∫∫∫f(x,y,z)dxdydz∫∫∫f(x,y,z)dxdydz, ∫∫∫∫∫∫ denotes triple integral, x,y,zx,y,z are variables of integration and f(x,y,z)f(x,y,z) is the integrand.
The Average distance from point in a ball of radius 4 to the center as a triple integral is ⇒ 1/(4/3 * π *4³)× \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {\rho.{\rho}^{2} } \, sin\phi .d\rho .d\phi .d\theta\) and the average distance is 3 units .
In the question ,
it is given that ,
the radius of the ball is 4 ,
that means ρ = 4 .
So , using spherical coordinates ;
the region is given by
E = {(ρ,Φ,θ) | 0≤ρ≤4 , 0≤Φ≤π , 0≤θ≤2π }
So , the triple integral representation of the average distance is given by
AD = (∫∫∫d(x,y,z) dV)/(∫∫∫1 dV)
= 1/(4/3 * π *4³)× \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {\rho.{\rho}^{2} } \, sin\phi .d\rho .d\phi .d\theta\)
= 1/(4/3 * π *4³) × \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {{\rho}^{3} } \, sin\phi .d\rho .d\phi .d\theta\)
Integrating further ,
we get ;
= (3/256π) × \(\int\limits^{2\pi }_0\int\limits^{\pi }_0\)[ρ⁴/4]⁴₀ sinФ.dФ.dθ
Simplifying further ,
we get ,
= 3/4π × 2 × [θ] 2π to 0
= (3/2π) × 2π
= 3
Therefore , the Average distance is 3 units .
The given question is incomplete , the complete question is
Express the the average distance from a point in a ball of radius 4 to its center as a triple integral and evaluate it .
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(07.01 MC) (Independent Probability) The number of chips of different colors in Amy's bag is shown below:Compund Probability 8 blue chips 9 pink chips 1 black chip Amy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Amy takes out a pink chip in both draws? (5 points) Group of answer choices 9 over 18 plus 8 over 17 equals 297 over 306 9 over 18 multiplied by 8 over 17 equals 72 over 306 9 over 18 plus 9 over 18 equals 18 over 18 9 over 18 multiplied by 9 over 18 equals 81 over 324
Answer:
The correct option is:
"9 over 18 multiplied by 9 over 18 equals 81 over 324"
Step-by-step explanation:
The number of chips of different colors in Amy's bag is:
Blue (B): 8
Pink (P): 9
Black (Bk): 1
TOTAL (N): 18
It is provided that Amy selects two chips from the bag with replacement.
Compute the probability that Amy takes out a pink chip in both draws as follows:
P (2 Pink Chips) = P (1st Pink Chip) × P (2nd Pink Chip)
= P (P) × P (P)
= [P (P)]²
\(=[\frac{9}{18}]^{2}\\\\=(0.50)^{2}\\\\=0.25\)
Thus, the probability that Amy takes out a pink chip in both draws is 0.25.
The correct option is:
"9 over 18 multiplied by 9 over 18 equals 81 over 324"
simiply the following (-4)⁶÷(-4)³.i will mark as brainlest
The measurement X to be taken on an individual from a population has a Normal
distribution with mean u and standard deviation o. What proportion of the
individuals in the population that have their X measurements between u-20 and
u+o?
0.6826894809
0.954499876
0 0.8185946784
0 0.9973000656
O none of these
Using the normal distribution, it is found that the correct option is 0.8185946784.
--------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which in a set with mean \(\mu\) and standard deviation \(\sigma\), for a measure X, is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of measure X.
The proportion of measures between \(\mu - 2\sigma\) and \(\mu + \sigma\) is the p-value of Z when \(X = \mu + \sigma\) subtracted by the p-value of Z when \(X = \mu - 2\sigma\). Thus:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{\mu + \sigma - \mu}{\sigma}\)
\(Z = \frac{\sigma}{\sigma}\)
\(Z = 1\)
\(Z = 1\) has a p-value of 0.8413.
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{\mu - 2\sigma - \mu}{\sigma}\)
\(Z = \frac{-2\sigma}{\sigma}\)
\(Z = -2\)
\(Z = -2\) has a p-value of 0.0228.
0.8413 - 0.0228 = 0.8185.
Thus, the correct option is 0.8185946784.
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if x-y = 8 and xy=5 , find x^2 + y^2
Answer:
x² + y² = 74
Step-by-step explanation:
given
(x - y) = 8 ( square both sides )
(x - y)² = 8² ← expand left side using FOIL
x² - 2xy + y² = 64 ← substitute xy = 5
x² - 2(5) + y² = 64
x² - 10 + y² = 64 ( add 10 to both sides )
x² + y² = 74
Rewrite the expression as the sum of two numbers 7(2+5)
answer:
its 7 x 7 or 49
explanation:
I need help with this Math Problem- (I got 7/8 inches more.) Planning to attach a plywood panel with nails 1 3/4 long.The panel is 3/8 inch thick.And beneath the panel is sheetrock which is 1/2 inch thick. How many inches of the nail should go into the wood frame?
Thks again
9514 1404 393
Answer:
7/8 in (you are correct)
Step-by-step explanation:
The amount of nail that goes into the framing member is ...
1 3/4 -3/8 -1/2
= 1 6/8 -3/8 -4/8
= 1 -1/8 = 7/8 . . . . inches
(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: √13, 6, 7
Triangle 2: 7, 8, 13
Triangle 3: 10, 11, 12
Triangle 4: √10, 9, 8
A line has a slope of
–
1
4
and passes through the point (
–
3,4). What is its equation in point-slope form?
The bakery sold
1,240 cupcakes over 4 days.
What is the unit rate?
Answer:
310 cupcakes per day
Step-by-step explanation:
divide 1240 by the 4 days to find out how many they sell in one day
if this is wrong idc im just gathering points so i can put my questions
A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.
Which expression represents the volume of the rectangular prism in cubic inches?
2x^2y^2
2xy^3 + 2x^2y
2x^4y^3
x^3y^2
Hi I have a meeting at this time I can but
According to the graph, we can check that, at t = 5.5 hours, the price of the commodity is approximately 11.75 $/lb and, at t = 4.5 hours, the price is approximately 13.75 $/lb. Therefore, we can approximate f'(5) as the slope of the segment connecting these two points as follows:
\(f^{\prime}(5)\cong\frac{11.75-13.75}{5.5-4.5}=-2\frac{\text{ \$}}{lb\cdot h}\)Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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Triangle ABC with vertices at A(−4, −4), B(8, 8), C(2, 6) is dilated to create triangle A′B′C′ with vertices at A′(−2, −2), B′(4, 4), C′(1, 3). Determine the scale factor used. 2 one half 4 one fourth
Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)
Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).
The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,
A' = 2A
A'(8, -12) = 2×A(4, -6)
These facts are all you need to know to choose the correct answer (shown above).
Answer: 1/2
Step-by-step explanation:
I took the quiz!