Answer:
x = 1/2sStep-by-step explanation:
Given on the diagram:
Point P is the midpoint of ACPoint Q is the midpoint of ABPQ is therefore a midsegment
Property of the midsegment:
it is parallel to a side and is half the length of that sidePQ = 1/2CBx = 1/2sWhat is the lateral area of the hexagonal pyramid? Round to the nearest square foot.
Answer:
5649.13 ft^2
Step-by-step explanation:
Good luck on your assignment!
solve
9x+8=86
please help
Answer:
X=8.7 (1dp)
Step-by-step explanation:
X=8.7
Please give Brainliest
If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that both chosen will be triangles?
Answer:
\(P(T_1\ n\ T_2) = \frac{2}{21}\)
Step-by-step explanation:
From the comments in your question; we have
Stars = 4
Triangles = 5
Circles = 3
Squares = 3
Required
Determine the probability of both shapes being triangles
First, calculate the total
\(Total = 4 + 5 + 3 + 3\)
\(Total = 15\)
Next, calculate the probability of the first selected shape being a triangle;
P(T₁) = Number of triangles divided by total number of shapes
\(P(T_1) = \frac{5}{15}\)
\(P(T_1) = \frac{1}{3}\)
Next, calculate the probability of the second selected shape being a triangle;
P(T₂) = Number of triangles divided by total number of shapes
Because it's probability without replacement. the number of triangle left is 4 and the number of shapes left is 14;
So:
\(P(T_2) = \frac{4}{14}\)
\(P(T_2) = \frac{2}{7}\)
Hence:
\(P(T_1\ n\ T_2) = P(T_1) * P(T_2)\)
\(P(T_1\ n\ T_2) = \frac{1}{3} * \frac{2}{7}\)
\(P(T_1\ n\ T_2) = \frac{2}{21}\)
Hence, the required probability is \(\frac{2}{21}\)
Answer:
2/21
Step-by-step explanation:
There are 4 stars, 5 triangles, 3 circles, and 3 squares
For the first drawing there are 5 triangles and a total of 15 shapes.
p(first triangle) = 5/15 = 1/3
Since there is no replacement, for the second drawing, and one triangle has been taken, now there are 4 triangles left and 14 total shapes left.
p(second triangle) = 4/14 = 2/7
p(two triangles) = p(first triangle) * p(second triangle)
p(two triangles) = 1/3 * 2/7
p(two triangles) = 2/21
Hi can sombody pleasee answer these and say what r, n, and y on all the equations are
85 - 7.2r = 25.24
6r - 3 = 10
170 - 4n = 130
4(2+3y) + 10 = 12
Answer:
r= 8.3
r=2.17
n=10
Step-by-step explanation:
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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Using the diagram below classify the angle pairs as corresponding, alternate interior angles, alternate exterior angles, consecutive interior or none.
Answer:
The corresponding angles in pairs are;
∠1 and ∠5, ∠2 and ∠6, ∠9 and ∠13, ∠10 and ∠14,
∠3 and ∠7, ∠4 and ∠8, ∠11 and ∠15, ∠12 and ∠16
∠1 and ∠3, ∠2 and ∠4, ∠9 and ∠11, ∠10 and ∠12
∠7 and ∠5, ∠8 and ∠6, ∠15 and ∠13, ∠16 and ∠14
The alternate interior angles are;
∠9 and ∠4, ∠10 and ∠3, ∠8 and ∠13, ∠7 and ∠14
∠2 and ∠13, ∠10 and ∠5, ∠4 and ∠15, ∠7 and ∠12
The alternate exterior angles are;
∠1 and ∠12, ∠2 and ∠11, ∠5 and ∠16, ∠6 and ∠15
∠1 and ∠14, ∠9 and ∠6, ∠3 and ∠16, ∠11 and ∠8
Consecutive interior angles
∠9 and ∠3, ∠10 and ∠4, ∠13 and ∠7, ∠14 and ∠8
∠2 and ∠5, ∠10 and ∠13, ∠4 and ∠7, ∠12 and ∠15
None
Some of the angles without specific relations are;
∠1 and ∠4, ∠2 and ∠3, ∠5 and ∠8, ∠6 and ∠7, ∠9 and ∠12, ∠10 and ∠11, ∠13 and ∠16, ∠14 and ∠15, ∠6 and ∠12, ∠5 and ∠11, ∠1 and ∠16, ∠2 and ∠15, ∠1 and ∠8, ∠2 and ∠12, ∠9 and ∠7, ∠10 and ∠8
Step-by-step explanation:
Corresponding angles are angles on the same side of two lines that are crossed by a given transversal
Alternate interior angles are angles on the inner but opposite sides of two lines crossed by a transversal
Alternate exterior angles are angles on the outer but opposite sides of two lines crossed by a transversal
Consecutive interior angles are angles that are next to each other on the same side of the transversal and in between the two lines.
When Mirka is 5 years old, her parents start to give her pocket money of 50p per week. On her birthday each year, her parents increase her pocket money by 50p
How much pocket money does Mirka get in the first year?
If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .
the amount that Mirka gets per week is = 50p ;
Age of Mirka is = 5 years ;
When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.
that means ;
So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),
Pocket money in the first year = 50p × 52 weeks = £26 .
Therefore , Mirka will get £26 in the first year of her birthday .
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Which of the following numbers are less than 3/7? You must answer this
12.5%
0.3
50%
2/3
0.102
1/5
The numbers that are less than 3/7 are 1/8 and 3/10, while the numbers that are greater than 3/7 are 1/2 and 2/3. The decimal 0.102, which is equivalent to 51/500 as a fraction, is also less than 3/7.
To determine which of the given numbers are less than 3/7, we can convert them to fractions and compare them to 3/7.
12.5% is equivalent to 0.125 as a decimal or 1/8 as a fraction. To compare 1/8 and 3/7, we can convert them to a common denominator. The least common multiple of 8 and 7 is 56, so we can rewrite 1/8 as 7/56 and 3/7 as 24/56. Therefore, 1/8 is less than 3/7.
0.3 is equivalent to 3/10 as a fraction. To compare 3/10 and 3/7, we can also convert them to a common denominator. The least common multiple of 10 and 7 is 70, so we can rewrite 3/10 as 21/70 and 3/7 as 30/70. Therefore, 3/10 is less than 3/7.
50% is equivalent to 0.5 as a decimal or 1/2 as a fraction. To compare 1/2 and 3/7, we can convert 3/7 to a fraction with a denominator of 2. Multiplying the numerator and denominator of 3/7 by 2 gives us 6/14. Therefore, 1/2 is greater than 3/7.
2/3 is already a fraction, and we can compare it directly to 3/7. Multiplying the numerator and denominator of 3/7 by 3 gives us 9/21, and we can see that 2/3 is greater than 3/7.
0.102 is a decimal that is less than 1, but it can also be written as a fraction. To do so, we can place the decimal over 1 followed by the appropriate number of zeros. This gives us 102/1000, which can be simplified to 51/500. To compare 51/500 and 3/7, we can convert them to a common denominator. The least common multiple of 500 and 7 is 3500, so we can rewrite 51/500 as 357/3500 and 3/7 as 1500/3500. Therefore, 51/500 is less than 3/7.
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In Chicago, there is a 30% chance that Memorial Day will have a high temperature in
the 70s. What is the probability that next Memorial Day will not have a high
temperature in the 70s in Chicago?
Answer:
70%
Step-by-step explanation:
the key word is not. it says there is a 30 percent chance of it being 70. the question asks what is the percent that it is - not - 70. the equation will be 100 - 30 = 70
Someone pls help me with this I will make you brain
Answer: 80
Step-by-step
so you want to start by putting 2/3+4 together to get 4 2/3 and then divide it by -2
Answer:
x=80
Step-by-step explanation:
First, multiply both sides by 10.
Now you would have 10x = 7x + 240.
Next, subtract 7x from both sides.
Then you would have 3x = 240.
Divide both sides by 3 and get
x = 80 as your result.
Hope this helps!
-kiniwih426
Suppose a company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014. Suppose that product sales for 2013 were $2,000,000 (which included free maintenance in 2013) and 75% of those were expected to pay an annual maintenance of 10% of the purchase price in 2014.
What will be the annual maintenance collected in 2014?
The annual maintenance collected in 2014 will be $1,750,000.
How to calculate the annual maintenance collected in 2014?To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.
Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000
Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000
So, the total annual maintenance collected in 2014 will be:
$1,600,000 + $1,500,000*10% = $1,750,000
Therefore, the annual maintenance collected in 2014 will be $1,750,000.
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Jeremy made a graph to show the money he earns folding and ironing laundry.
Based on the information in the graph, how many dollars does Jeremy earn each hour?
Answer:
he get 12 an hour
Step-by-step explanation:
can someone please doordash me something like i will give brainly 5 stars and spotify premium just 10 dollars please
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Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 22 inches long in the drawing, how long is the actual counter?
PLEASE HELP SURFACE AREA TRIANGULAR
Answer:
Step-by-step explanation:
i attached some screen shots that have the formula and the answer lol. I hope these answer your questions!
Find the distance between the points (-7,3) and (4,3)
Answer:
6.7082
Step-by-step explanation:
distance = (x\(2\) - x\(1\))\(2\) + (y\(2\) - y\(1\))\(2\)After substituting that coordinate, what is the flux dΦ through the patch in terms of dA?
After substituting the given coordinate in the flux equation, the resulting flux dΦ through the patch can be expressed in terms of dA as dΦ = E⋅dA⋅cosθ
Here, E represents the electric field intensity, dA is the area of the patch, and cosθ is the angle between the normal vector of the patch and the electric field lines passing through it.The term dA represents the differential area of the patch and is used to calculate the total flux through the entire surface by integrating over the entire area. This integration process adds up the contributions of all the small patches of the surface.
Therefore, the flux through any small patch of the surface can be calculated using the above equation by substituting the appropriate values of E, dA, and cosθ. This formula is particularly useful in calculating the flux through curved surfaces or irregularly shaped patches.In summary, after substituting the given coordinate, the flux dΦ through the patch can be expressed in terms of dA using the formula dΦ = E⋅dA⋅cosθ, which helps in determining the total flux through the entire surface.
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Superstar Toy Shop is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Pamela purchases 4 Mighty Mare toy ponies to add to her collection, each at $3 less than its full price. Pamela pays a total of $52.
Which equation can you use to find the amount of money, x, each Mighty Mare toy pony costs at full price?
Let x be the full price of each Mighty Mare toy pony.
During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:
x - $3
Since she bought 4 of these toys, her total cost during the sale was:
4(x - $3)
We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:
4(x - $3) = $52
Simplifying this equation, we get:
4x - $12 = $52
Adding $12 to both sides, we get:
4x = $64
Dividing both sides by 4, we get:
x = $16
Therefore, each Mighty Mare toy pony costs $16 at full price.
Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.
To find the equation that represents this situation, we can set up the equation based on the given information:
4 * (x - 3) = 52
In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.
By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.
200 + 50 = 250
How much percentage did you raise the price?
Answer:
25%
Step-by-step explanation:
If you raised it by 50.
\(\frac{200}{50} =\frac{100}{y}\)
200 × y = 50 × 100
200y = 5000
200y ÷ 200 = 5000 ÷ 200
y = 25
convert the line integral to an ordinary integral with respect to the parameter and evaluate it. ∫c(y−z)ds; c is the helix 4cost,4sint,t, for
To convert the line integral ∫c(y−z)ds into an ordinary integral with respect to the parameter and evaluate it, the parameterization of the curve c as 4cos(t), 4sin(t), and t for t in a certain interval.
To convert the line integral, we first need to express ds (the differential arc length) in terms of the parameter t. The differential arc length can be calculated using the formula ds = ||r'(t)|| dt, where r(t) = (4cos(t), 4sin(t), t) is the position vector of the curve c.
Differentiating r(t) with respect to t, we get r'(t) = (-4sin(t), 4cos(t), 1). Taking the magnitude of r'(t), we have ||r'(t)|| = sqrt[(-4sin(t))^2 + (4cos(t))^2 + 1^2] = sqrt[16sin^2(t) + 16cos^2(t) + 1] = sqrt[16 + 1] = sqrt(17). Now we can rewrite the line integral as ∫c(y−z)ds = ∫c(y−z)||r'(t)|| dt = ∫c(4sin(t)−t) sqrt(17) dt.
To evaluate this ordinary integral, we need to determine the limits of integration. Once we have determined the limits of integration, we can evaluate the integral ∫c(4sin(t)−t) sqrt(17) dt using standard integration techniques such as substitution or integration by parts. The resulting value will give the evaluation of the line integral.
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I WILL OPEN MY ALT AND COMENT AND GIVE YOU A BRINLIST OPEN IF YOU SHOWED YOUR WORK!!! OPEN THE IMAGE
Answer:
b = -3
Step-by-step explanation:
1. Rearrange Terms
-3(3 + 6b) = 36 - 3b
-3(6b + 3) = 36 - 3b
2. Distribute
-3(6b + 3) = 36 - 3b
-18b - 9 = 36 - 3b
3. Rearrange Terms
-18b - 9 = 36 - 3b
-18b - 9 = -3b + 36
4. Add 9 to both sides
-18b - 9 = -3b + 36
-18b - 9 + 9 = -3b + 36 + 9
5. Simplify
-18b - 9 + 9 = -3b + 36 + 9
-18b = -3b + 45
6. Add 3b to both sides
-18b = -3b + 45
-18b +3b = -3b + 45 + 3b
7. Simplify
-15b = 45
8. Divide both sides by the same factor
-15b = 45
\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)
9. Simplify
b = -3
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
WWWWWW
Step-by-step explanation:
Unit 5 relationships in triangles homework 3 circumcenter and incenter
For triangle BCD, the measure of segment:
1) CD = 64 units
2) CE = 26 units
3) HD = 33 units
4) GD = 29 units
5) HG = 15.75 units
6) HF = 8.1 units
Here, H is the circumcenter of ΔBCD
We know that the circumcenter of a triangle is nothing but the point where the perpendicular bisectors of three sides of that triangle intersect.
This means that EH, FH and GH are perpendicular bisectors of three sides of ΔBCD
We know that a perpendicular bisector always divides a line segment through its midpoint.
So, for side CB, CE = EB
Here, EB = 26 units
⇒ CE = 26 units
and, CB = CE + EB
CB = 26 + 26
CB = 52 units
Similarly, for side CD of triangle BCD:
CF = FD
here, FD = 32 units
⇒ CF = 32 units
And CD = CF + FD
⇒ CD = 64 units
Similarly, for side BD of triangle BCD:
BG = GD
Here, BD = 58 units
So, GD = 1/2 (BD)
GD = 29 units
Now, we can observe that ΔCHD is an isosceles triangle.
So, CH = HD
⇒ HD = 33 units
In triangle GHD using Pythagoras theorem,
HG = \(\sqrt{HD^2-GD^2}\)
HG = \(\sqrt{33^2-29^2}\)
HG = 15.75 units
Similarly, in triangle CFH using Pythagoras theorem,
HF = \(\sqrt{HC^2-FC^2}\)
HF = \(\sqrt{33^2-32^2}\)
HF = 8.1 units
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Find the complete question below.
5. (15 points) Consider the following basis of R 3
B 1
= ⎩
⎨
⎧
⎝
⎛
1
0
6
⎠
⎞
, ⎝
⎛
−1
1
0
⎠
⎞
⎝
⎛
0
1
−3
⎠
⎞
⎭
⎬
⎫
and B 2
= ⎩
⎨
⎧
⎝
⎛
−3
0
1
⎠
⎞
, ⎝
⎛
2
1
−2
⎠
⎞
⎝
⎛
0
0
1
⎠
⎞
⎭
⎬
⎫
. (a) (2 points) Write down the transition matrix B 1
from the basis B 1
to the standard basis. (b) (2 points) Write down the transition matrix B 2
from the basis B 2
to the standard basis. (c) (5 points) Find the transition matrix B from the basis B 2
to the basis B 1
.
a) The transition matrix from B1 to the standard basis is P = [1 0 -2; 6 1 13; 2 1 5].
b) The transition matrix from B2 to the standard basis is Q = [-2 -1 5; -2 -1 3; -1 0 2].
c) The transition matrix from B2 to B1 is A = [-2 1 -3 5 3 -7; -1 0 1 3 2 5; 0 0 1 -2 -1 2].
a) Basis B1 of R3 is given by
B1 = { (1 0 6), (-1 1 0), (0 1 -3) }.
Write down the transition matrix from B1 to the standard basis. Because the transition matrix is the matrix that changes the standard basis to the basis B1, solve the equation: B1 ∗ P = I, where I is the identity matrix. Solve the following system of equations:
{(1 0 6) (p11 p21 p31)} = {(1 0 0) (1 0 0)}{(−1 1 0) (p12 p22 p32)} = {(0 1 0) (0 1 0)}{(0 1 −3) (p13 p23 p33)} = {(0 0 1) (0 0 1)}
Therefore, the transition matrix from B1 to the standard basis is the matrix P obtained from the solutions of the above system of equations, i.e.,B1 = P-1, where B1 is a matrix having B1 as columns. That is,
P = B1-1 = [1 0 -2; 6 1 13; 2 1 5].
b) Basis B2 of R3 is
B2 = { (-3 0 1), (2 1 -2), (0 0 1) }.
Write down the transition matrix from B2 to the standard basis. Following the same procedure as in part (a), solve the equation B2 ∗ Q = I.
Solving the system of equations given by this equation,
Q = B2-1 = [-2 -1 5; -2 -1 3; -1 0 2].
c) Since B1 and B2 are both bases of R3, each vector in B2 can be expressed as a linear combination of vectors in B1. Let A be the matrix such that A[i] is the i-th vector of B2 expressed as a linear combination of the vectors of B1, i.e.,
A[i]∗B1 = B2[i] for i = 1, 2, 3.
Then the columns of A are the coordinates of the vectors of B2 relative to the basis B1. Hence, the transition matrix from B2 to B1 is given by A. Solve the following system of equations:
{(1 0 6) (a11 a21 a31)} = {(-3 0 1) (a12 a22 a32)}{(-1 1 0) (a13 a23 a33)} = {(2 1 -2) (a14 a24 a34)}{(0 1 −3) (a15 a25 a35)} = {(0 0 1) (a16 a26 a36)}
Solving this system of equations,
A = [-2 1 -3 5 3 -7; -1 0 1 3 2 5; 0 0 1 -2 -1 2].
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Name the line of reflection.
Answer:
y=0
Step-by-step explanation:
Ten bags of rice, each marked 5kg rice, actually contained the following weights of rice(in kg) : 5.04kg, 4.95kg, 4.97kg, 5.00kg,5.02kg, 5.05kg,
4.97kg, 5.00kg, 4.99kg and 5.00kg. Find the probability that any of these bags chosen at random contain less than 5kg of rice.
Answer:
4.97kg, 5.00kg, 4.99kg and 5.00kg. Find the probability that any of these bags chosen at random contain less than 5kg of rice.
Step-by-step explanation:
What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10
Given:
The equation of a quadratic function is:
\(H(x)=-x^2+10x-11\)
To find:
The equation of the axis of symmetry for the given function.
Solution:
If a quadratic function is \(f(x)=ax^2+bx+c\), then the equation of the axis of symmetry is:
\(x=-\dfrac{b}{2a}\) ...(i)
We have,
\(H(x)=-x^2+10x-11\)
Here, \(a=-1,b=10,c=-11\). So, the equation of axis of symmetry by using (i), is
\(x=-\dfrac{10}{2(-1)}\)
\(x=-\dfrac{10}{-2}\)
\(x=5\)
Therefore, the correct option is C.
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
let f(x) = x3 2x2 7x − 11 and g(x) = 3f(x). which of the following describes g as a function of f and gives the correct rule?
The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.
This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.
The correct rule to describe the function
g(x) = 3f(x)
in terms of the function f(x) = x³-2x²+7x-11 is that
g(x) = 3(x³-2x²+7x-11) and thus
g(x) = 3x³-6x²+21x-33.
In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.
Therefore, g(x) = 3f(x) means that g(x) is three times f(x).
Thus, we can obtain g(x) as follows:
g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33
Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that
g(x) = 3x³-6x²+21x-33.
This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.
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Help please!! ill give brainliest!
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Linear equation.
answer is
====> 4n-7
Answer:
4n-7
Step-by-step explanation:
sam has 4 times as many baseball cards as Declan.=4n
Amaya has 7 fewer baseball cards than sam.= -7
Always put the multiplication first.
1.Round 11.06 to the nearest tenth
Round 11.60 to the nearest tenth.
Answer:
11.06 rounds to 11.1
11.60 stays at 11.60
Step-by-step explanation:
Round up for 5-9
Round down for 0-4