Answer:
x = 6
Step-by-step explanation:
To make a fraction undefined, the denominator would have to be equivalent to zero. If that is so, x^2 + x - 42 would have to equal 0, and we would have to solve for the value of x;
\(x^2 + x - 42 = 0,\\Factored Equation = \left(x-6\right)\left(x+7\right),\\\left(x-6\right)\left(x+7\right) = 0,\\\\Zero Factor Principle, \\x - 6 = 0, and, x + 7 = 0\\\\x = 6, x = - 7\\\\Solution = Either, 6 / - 7\)
We can take x to be either 6 or - 7, but as the question asks us to state only one value, I will take x = 6.
please help i’m sorry!!! 15 points again!
Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
Round 0.3058 to the nearest hundredth
Answer: 0.31
Step-by-step explanation:
0.3158 is closer too 0.3100 than 0.3000 or 0.3
Rounding 0.3058 to the nearest hundredth gives us 0.31.
Given that a number we need to round it to the nearest hundredth,
To round 0.3058 to the nearest hundredth, we need to look at the digit in the thousandth place (the third decimal place).
Step 1: Look at the digit in the thousandth place. In this case, the digit is 5.
Step 2: Determine if the digit is 5 or greater. If the digit is 5 or greater, we round up. If the digit is less than 5, we round down.
Since the digit in the thousandth place is 5, we round up.
Step 3: Round up the number in the hundredth place. In this case, the number in the hundredth place is 0.
Rounding up 0 to the nearest hundredth gives us 1.
Therefore, rounding 0.3058 to the nearest hundredth gives us 0.31.
Learn more about Rounding numbers click;
https://brainly.com/question/29261078
#SPJ6
the owner of the rancho grande has 2996 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. if fencing is not required along the river, what are the dimensions of the largest area he can enclose? find the area.
Therefore, the dimensions of the largest area he can enclose are 749 yards by 1498 yards with an area of 1,121,502 square yards.
Let the length of the rectangular grazing land be x and the width be y. Then we know that the total amount of fencing used is given by:
2x + y = 2996
We want to maximize the area A of the grazing land, which is given by:
A = xy
We can solve the first equation for y:
y = 2996 - 2x
and substitute into the equation for A:
A = x(2996 - 2x)
Expanding the equation, we get:
A = 2996x - 2x^2
To find the maximum value of A, we take the derivative and set it equal to zero:
dA/dx = 2996 - 4x = 0
Solving for x, we get:
x = 749
Substituting this value back into the equation for y, we get:
y = 1498
Therefore, the dimensions of the largest area he can enclose are 749 yards by 1498 yards. The area is:
A = xy = 749 * 1498 = 1,121,502 square yards.
To know more about dimensions,
https://brainly.com/question/15147330
#SPJ11
The radius of the base of a cone is 5 cm and slant height is 9 cm. Find the total surface area of the cone
To find the total surface area of a cone, we need to add the area of the base to the lateral surface area. The lateral surface area of a cone is the curved surface area that makes up the slanted sides of the cone.
The formula for the lateral surface area of a cone is given by:
Lateral surface area of cone = πrℓ
where r is the radius of the base of the cone and ℓ is the slant height.
Here, the radius of the base is 5 cm and the slant height is 9 cm.
So, the lateral surface area of the cone is:
Lateral surface area = πrℓ
= π × 5 × 9
= 45π cm²
The formula for the area of the base of a cone is:
Area of base of cone = πr²
where r is the radius of the base.
Here, the radius of the base is 5 cm.
So, the area of the base of the cone is:
Area of base = πr²
= π × 5²
= 25π cm²
Therefore, the total surface area of the cone is:
Total surface area = Lateral surface area + Area of base
= 45π + 25π
= 70π cm²
So, the total surface area of the cone is 70π cm².
can yall pls help wit this pls asap
i will mark you brainliest if u are correct first
Answer: 4955.30
Step-by-step explanation:
F = P (1+i)^n
F = $4000 (1+.055)^4
F = $4955.2986
Which will be 4955.30
Answer:
A. $4955.30
Step-by-step explanation:
Look at the equation
A(t)= P(1+r)^t
In this equation,
A(t) is your amount after a period of time,
P is the initial balance stated in the question (4000)
r is the rate (must be converted to a decimal) as stated in the question (0.055)
t represents the amount of time that has passed (4 years)
Whenever you plug this into the equation, you get
A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be
4955.29 (round up to .3) and your final answer is A. 4995.30
In order to convert from percent to decimal you just need to move the decimal to the left two places
5.5 becomes 0.055 after the decimal is shifted
If team A is the underdog in playing team B and has probability 1/3 of winning every game it plays against team B. What is the probability that it wins the best-of-five series over team B? Note: Team A must win the last game played.
The probability that team A wins the best-of-five series over team B is 32/243.
For team A to win the best-of-five series over team B, team A must win at least three of the five games played, and the last game played must be a win for team A. Let's consider the different ways that team A can win the series:
Team A wins the first three games and loses the last two games.
Team A wins the first two games, loses the third game, wins the fourth game, and loses the fifth game.
Team A wins the first two games, loses the third game, loses the fourth game, and wins the fifth game.
Team A wins the first game, loses the second game, wins the third game, loses the fourth game, and wins the fifth game.
The probability of each of these outcomes is:
(1/3)^3 * (2/3)^2 = 8/243
(1/3)^2 * (2/3) * (1/3) * (2/3) = 8/243
(1/3)^2 * (2/3) * (2/3) * (1/3) = 8/243
(1/3) * (2/3) * (1/3) * (2/3) * (1/3) = 8/243
Therefore, the probability that team A wins the best-of-five series over team B is the sum of these probabilities:
P(A wins series) = 8/243 + 8/243 + 8/243 + 8/243 = 32/243
So, the probability that team A wins the best-of-five series over team B is 32/243.
To learn more about probability visit:https://brainly.com/question/30034780
#SPJ11
Tree one is meters tall. Tree two is 10.5 meters tall. What is the scale factor
Answer: 10.5
Step-by-step explanation:
a box has a width of 15 inches and a length of 16 inches. the volume of the box is increasing at a rate of 569 cubic inches per second, with the width and length being held constant. what is the rate of change, in inches per second, of the height when the height is 6 inches?
The rate of change in height when height is 6 inches is 2.37 inches per second approximately.
We know that the volume of cube with length L, width W and height H is given by,
V = L*B*H
So given that the length is 15 inches
the width is 16 inches
Let the height be h inches.
So now the volume is given by,
V = 15*16*h
Differentiating the volume with respect to time 't' we get,
dV/dt = 15*16 dh/dt
Now given that the rate of change in volume per second is 569 cubic inches.
So, dV/dt = 569
So, 15*16 dh/dt = 569
dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)
So the rate of change in height is 2.37 inches approximately.
To know more about Volume refer to:
https://brainly.com/question/1972490
#SPJ4
What is the value of 56 - (3 to the power of 3 + 13)
Answer:
16
Step-by-step explanation:
3^3=27 then you have 27+13=40 now you have 56-40=16
A sandbox is located at (-8, -3). How many UNITS apart on the coordinate plane are the locations of the swing set and the sandbox?
For every 2 hours that Tina spends studying, she often spends 10 hours on the phone. If Tina spent 65 hours on the phone, how many would you expect her to spend studying
Answer:
13 hours
Step-by-step explanation:
65/5= 13
Answer:
13
65/10=x/2
ANSWER...
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=26°, and HI = 5. 7 feet. Find the length of IJ to the nearest tenth of a foot
The length of IJ in ΔHIJ is approximately 2.8 feet when rounded to the nearest tenth of a foot.
To find the length of IJ in ΔHIJ, we can use trigonometric ratios. In this case, we can use the tangent function since we know the measure of angle I and the length of side HI.
Using the tangent function, we can set up the equation: tan(I) = IJ/HI. Rearranging the equation, we have IJ = HI * tan(I).
In this scenario, I = 26° and HI = 5.7 feet. Substituting these values into the equation, we can calculate the length of IJ.
Calculate the tangent of angle I: tan(26°) ≈ 0.4877.
Multiply the tangent value by the length of HI: 5.7 feet * 0.4877 ≈ 2.7777 feet.
Therefore, the length of IJ in ΔHIJ is approximately 2.8 feet.
Using the given information, we can apply trigonometry to find the length of side IJ. In a right triangle, the tangent function relates the angle I to the ratio of the lengths of the opposite side (IJ) and the adjacent side (HI).
First, we find the tangent of angle I by using the given measure: tan(26°). This gives us the ratio of IJ to HI.
Next, we substitute the known values: HI = 5.7 feet. By multiplying HI with the tangent of angle I, we get the length of IJ.
In this case, tan(26°) ≈ 0.4877. Multiplying this by HI = 5.7 feet, we find that IJ ≈ 2.7777 feet.
Therefore, the length of IJ in ΔHIJ is approximately 2.8 feet when rounded to the nearest tenth of a foot.
To learn more about trigonometric ratios click here:
brainly.com/question/23130410
#SPJ11
jessica and robert have two young children. they have $7,000 of qualified child care expenses and agi of $22,000 in 2021
The allowable child and dependent care credit considering their pre-credit tax liability is $0
The following chart illustrates how their authorized child and dependent care credit was calculated:
If the revenue is less than $22,000, the full 22% would be permitted.
However, the eligible kid expense would only be allowed up to $7,000.
Consequently, the sum would be
= $7,000 × 22%
= $1,540
Since there is already a pre-credit tax liability, $0 should be taken into account because there would be no credit.
Due to their pre-credit tax liability, the available child and dependent care credit is therefore $0.
To learn more about tax liability click here:
brainly.com/question/15394738
#SPJ4
Help please!
Eduardo is paid $25 per hour at his job. Which of the following does not represent the relationship between the number of hours Eduardo works, x, and his pay, y?
A: {(5, 125), (8, 200), (10, 250)}
B: y = 25x
C and D are in the pictures.
The options (a) and (b) represent the relationship between the hours and pay
Identifying which does not represent the relationship between the hours and payFrom the question, we have the following parameters that can be used in our computation:
Hourly rate = $25 per hour
using the above as a guide, we have the following:
y = Hourly rate * x
Where
x = number of hours
y = total pay
substitute the known values in the above equation, so, we have the following representation
y = 25x
Next, we have
When x = 5, 8 and 10; we get
{(5, 125), (8, 200), (10, 250)}
This means that options (a) and (b) represent the relationship between the hours and pay
Read more about linear relation at
https://brainly.com/question/30318449
#SPJ1
Chord AC intersects chord BD at point P in circle Z.
AP=12 m
DP=5 m
PC=6 m
What is BP?
Enter your answer as a decimal in the box.
_______ m
The length of BP is 14.4 meters.
To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.
Using this property, we can set up the equation:
AP * PC = BP * DP
Substituting the given values:
12 m * 6 m = BP * 5 m
Simplifying:
72 m^2 = BP * 5 m
To solve for BP, divide both sides of the equation by 5 m:
72 m^2 / 5 m = BP
Simplifying:
14.4 m = BP
Therefore, the length of BP is 14.4 meters.
To know more about length,
https://brainly.com/question/32191269
#SPJ11
3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answer:
£86.50
Step-by-step explanation:
To find how much 10 t-shirts cost we have to find how much they cost individually.
3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.
8.65 x 10 T-Shirts = £86.50
What is the average degree of the following undirected graph (draw the picture if needed) with V={1,2,3,4,5} and E={(1,2),(1,3,),(1,4),(1,5),(2,4),(2,5),(3,4),(4,5)}?
a. 1.8
b. 3.6
c. 1.6
d. 3.2
In reference to the degree distribution of the graph in question 1, what is the value of p_3?
a. 0.2
b. 0.4
c. 0.6
d. 0.8
In reference to the degree distribution of the graph in question 1, what is the value of p_2?
a. 0.2
b. 0.4
c. 0.6
d. 0.8
What is the density of the graph in question 1?
a. 0.4
b. 0.5
c. 0.7
d. 0.8
The adjacency matrix for a directed graph is symmetric.
True
False
For the graph from question 1, how many 1s are there in its adjacency matrix? Diagonal will be all 0s since there are no self-loops.
a. 8
b. 16
c. 18
d. 20
What is the average degree of a complete graph (clique) on 20 vertices?
a. 20
b. 85
c. 8.5
d. 19
How many edges are there in a complete bipartite graph where the first set has 10 vertices and the other set has 5 vertices?
a. 15
b. 25
c. 50
d. 100
In a tree (a connected graph with no cycles), there are at least 2 different shortest paths between any two vertices.
True
False
The diameter of a graph is twice the distance between the 2 nodes farthest apart.
True
False
1. The average degree of the given undirected graph is 3.6, and the degree distribution shows p_3 = 3.
2. The density of the graph is 0.8, and the adjacency matrix will have 16 ones.
3. The average degree of a complete graph with 20 vertices is 19, and a complete bipartite graph with 10 and 5 vertices has 50 edges.
4. In a tree, there is only one shortest path between any two vertices, and the diameter of a graph is not necessarily twice the distance between the farthest nodes.
1. To find the average degree of the given undirected graph, we need to calculate the sum of degrees and divide it by the number of vertices.
The given graph has 5 vertices and the degrees are: 4, 4, 4, 4, and 2.
Sum of degrees = 4 + 4 + 4 + 4 + 2 = 18
Average degree = Sum of degrees / Number of vertices = 18 / 5 = 3.6
Therefore, the average degree of the graph is 3.6.
2. The degree distribution for the graph is as follows: p_1 = 0, p_2 = 1, p_3 = 3, p_4 = 1, p_5 = 0.
Since we are interested in p_3, the value is 3.
3. Similarly, referring to the degree distribution, p_2 is the number of vertices with degree 2 divided by the total number of vertices.
In this case, there is only one vertex with degree 2 (vertex 5), so p_2 = 1 / 5 = 0.2.
4. The density of the graph is given by the number of edges divided by the maximum possible number of edges in a graph with the same number of vertices.
The given graph has 8 edges and 5 vertices.
Maximum possible edges = (n * (n-1)) / 2 = (5 * 4) / 2 = 10
Density = Number of edges / Maximum possible edges = 8 / 10 = 0.8.
5. The adjacency matrix for an undirected graph is symmetric, so the statement is true.
6. The given graph has 8 edges, and in its adjacency matrix, each edge corresponds to two 1s.
Since there are 8 edges, there will be 8 * 2 = 16 ones in the adjacency matrix.
7. In a complete graph with n vertices, each vertex is connected to every other vertex.
The average degree of a complete graph is equal to the number of vertices minus 1.
In this case, a complete graph with 20 vertices would have an average degree of 20 - 1 = 19.
8. A complete bipartite graph with m vertices in one set and n vertices in the other set has m * n edges.
In this case, there are 10 vertices in the first set and 5 vertices in the second set, so there will be 10 * 5 = 50 edges.
9. In a tree, there is only one unique shortest path between any two vertices. Therefore, the statement is false.
10. The diameter of a graph is the maximum distance between any two vertices in the graph.
It is not necessarily twice the distance between the two nodes farthest apart, so the statement is false.
To know more about adjacency matrix, refer to the link below:
https://brainly.com/question/33168421#
#SPJ11
Please find the missing side and show your work
Answer:
13.3041346957 Ft. ( Or 13.30 Ft. )
Step-by-step explanation:
Formula: A^2 + B^2 = C^2
Substitution: 9^2 + 6^2 = 117
√177 = 13.3041346957
13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .
Name the missing denominator.
3/4 12/
Answer:
16
Step-by-step explanation:
3/4=12/16
Answer:
16
Step-by-step explanation:
to get from 3 to 12 you multiply by 4 so you would have to do the same to the denominator so 4x4 is 16
5,
5,
6,
8,
11,
What is the next number
3 is what my answer was
============================================
Explanation:
From 5 to 5, we add 0
From 5 to 6, we add 1
From 6 to 8, we add 2
From 8 to 11, we add 3
Assuming this pattern keeps up, the next term is found by adding 4.
So 11+4 = 15 is the next term.
Take a screen shot of the script from step 17. did you have any errors or messages when you ran the prerequisites check? if so, were any severe? take a screen shot of the tools menu from step 20.
Moving on to step 20, you need to take a screenshot issues of the tools menu. This can usually be accessed by clicking on the "Tools" option in the menu bar of the program or application you are using.
To take a of the tools menu in step 20, you can follow these steps:Open the tools menu in the desired application or software.Press the "Print Screen" (PrtSc) button on your keyboard. This will capture a screenshot of your entire screen.
Open an image editing software or any program that allows you to paste imagesPaste the screenshot by pressing "Ctrl" + "V" on your keyboard.Save the image in your desired format.
To know more about issues visit:
https://brainly.com/question/29148567
#SPJ11
write the equation of the line passing through the point (-2, 3) with a y-intercept of 6 in slope-intercept form.
Answer:
3 = -2m + 6
-2m = -3, so m = 3/2
y = (3/2)x + 6
Answer: y=6x+15
Step-by-step explanation:
Formula for point-slope (you were given a point and the slope)
\(y-y_{1} =m(x-x_{1} )\)
where m is your slope
\((x_{1} ,y_{1} )\) is your point
y-3=6(x-(-2)) plug in and simplify the negative in the parentheses
y-3=6(x+2) distribute
y-3=6x+12 add 3 to both sides
y=6x+15 this is your answer in slope-intercept form
A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
A survey of 700 people revealed 45% were planning to vote for a political party at the upcoming election. How many people is this?
Answer 315 people.
Step-by-step explanation:
Answer:
315
Step-by-step explanation:
45% is part of the 700 people who vote for a political party at the upcoming election.
Step 1. Use \(\frac{part}{whole} =\frac{part}{whole}\) where 45% is part of the 700 people
Answer: \(\frac{45}{100} =\frac{?}{700}\)
Step 2. Divide 45 by 100
Answer: 0.45
Step 3. Multiply it by 700
Answer: 315
so 315 people were planning to vote for a political party
A geologist visits 20 volcanoes in Alaska and California.
What if 60% of the volcanoes were in California? How many volcanoes would the geologist have visited in California and how many in Alaska?
Answer:
60% of 20 is 12
40% of 20 is 8
12 in California
8 in Alaska
Choose the product of
(3+v7)(3-7)
Answer:
In descending order, you answer would be (70v - 18). Hope this helps!
Step-by-step explanation:
Answer:
the answer is C on edge
Step-by-step explanation:
Find the three roots of 125i
Roots of complex numbers
The three roots of 125i are:
5(12+i√32)-55(12-i√32)How to solveTo find these roots, we can use de Moivre's identity. The de Moivre's identity states that for any complex number z and any integer n, we have:
\(z^n\) = (r * e^{iθ})^n = r^n * e^{inθ}
where r is the absolute value of z and θ is the angle of z.
In our case, we have z = 125i and n = 3. So, we have:
\(z^3\) = \((125i)^3 = (5 * i)^3 = 125i^3\)
Using de Moivre's identity, we can write this as:
\(125i^3\) = 5^3 * e^{3iθ} = 125 * e^{i(3π/2)} = -125i
Therefore, the three roots of 125i are the three cube roots of -125i. We can find these roots using the following formula:
z = r * e^{iθ/3}
where r is the cube root of 125 and θ is the angle of -125i.
The cube root of 125 is 5.
The angle of -125i is π/2.
So, the three roots of 125i are:
\(z_1\) = 5 * e^{iπ/6} = 5(12+i√32)
\(z_2\) = 5 * e^{i5π/6} = -5
\(z_3\) = 5 * e^{i9π/6} = 5(12-i√32)
Read more about cube root here:
https://brainly.com/question/24486461
#SPJ1
its basically just percents y=85(1.25)=
Answer:
106.25
Step-by-step explanation:
y = 85(1.25) = 106.25
I'm not sure how to show the work, i just put it into a calculator
um some help please? asap
Suppose a five-year, $1,000 bond with annual coupons has a price of $900.53 and a yield to maturity of 6,3%. What is the bond's coupon rate? SIN The bond's coupon rate is%. (Round to three decimal places.)
The bond's coupon rate is approximately 7.4043%.
To find the bond's coupon rate, we need to use the formula for calculating yield to maturity and solve for the coupon rate.
The yield to maturity formula for a bond is:
Price = (Coupon Payment / (1 + Yield)^1) + (Coupon Payment / (1 + Yield)^2) + ... + (Coupon Payment + Face Value) / (1 + Yield)^n,
where Price is the current price of the bond, Coupon Payment is the annual coupon payment, Yield is the yield to maturity, and n is the number of years until maturity.
In this case, the bond's price is $900.53, the yield to maturity is 6.3%, the coupon payment is unknown, and the bond has a maturity of five years.
Using the formula, we can set up the equation:
$900.53 = (Coupon Payment / (1 + 0.063)^1) + (Coupon Payment / (1 + 0.063)^2) + (Coupon Payment / (1 + 0.063)^3) + (Coupon Payment / (1 + 0.063)^4) + (Coupon Payment + $1,000) / (1 + 0.063)^5.
Now we need to solve this equation to find the coupon payment.
Using a financial calculator or software, we can find that the coupon payment is approximately $74.043.
To calculate the coupon rate, we divide the coupon payment by the face value of the bond and multiply by 100:
Coupon Rate = (Coupon Payment / Face Value) * 100 = ($74.043 / $1,000) * 100 = 7.4043%.
Learn more about coupon rate here :-
https://brainly.com/question/30079417
#SPJ11