Answer:
JL = 78
Step-by-step explanation:
The shorter segment is a midline, so is half the length of the longer one.
2(5x-16) = 4x +34
5x -16 = 2x +17 . . . . . divide by 2
3x = 33 . . . . . . . . . . add 16-2x
x = 11 . . . . . . . . . . divide by 3
Then segment JL is ...
JL = 4x +34 = 4(11) +34 = 44+34
JL = 78
Carol's book collection contains 12 mysteries, 8 biographies, and 5 plays.
The ratio that compares the number of biographies to the total number of books is_______ to ______
Answer:
8:25
Step-by-step explanation:
Theres 8 biography books and 25 books in total. 8:25
:D
Use a net to find the surface area of the right triangular prism
35 sq. ft.
80 sq. ft.
84 sq. ft.
244 sq. ft
256 sq. ft.
258 sq. ft.
270 sq. ft.
286 sq. ft.
5,040 sq. ft.
Answer:
244 sq. ft.
Step-by-step explanation:
The net for a triangular prism consists of a central rectangle and two triangles. The length of the central rectangle is equal to the perimeter of the triangular faces.
__
The area of the central rectangle of the net is ...
A = LW = (12 +7 +10 ft)(6 ft) = 174 ft²
The two triangles are right triangles, so the area of each is half the product of the leg lengths.
A = 1/2(bh) = 1/2(10 ft)(7 ft) = 35 ft²
Then the sum of the rectangle and two triangles is ...
surface area = 174 ft² +2 × 35 ft² = 244 ft²
5(x+6)+3x=2(1+4x)+1
I need help solving for x (9th grade pre ap algebra)
Answer:
-29
Step-by-step explanation:
5x +30 +3x =2+8x+1
x= -29
Which of these references a velocity (not speed) more than one answer 50 mph
5 mph East
5 mph
50 mph South
Answers: 5 mph East and 50 mph South
Reason
A velocity has two components: A speed and a direction.
7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does
his car get?
Answer:
35
Step-by-step explanation:
Just divide 350 by 10 since it asks, "How many miles per gallon".
= 35
Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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O Horizontal translation of 11 units
O Reflection across y-axis
O Horizontal translation of 4 units
O Reflection across x-axis
Answer:
The answer is B
Step-by-step explanation:
I got B because it just looks like its flipped over the y axis. Its also even. Im sorry if you didnt get that but im not the best explainer at these types of problems lol. But its actually b trust me
pls mark brainliest because i didnt waste your time lol
Which equation represents a line that passes through the two points in the table?
Answer: A
Step-by-step explanation:
(3,3) (6,5)
y2-y1/x2-x1 = 5-3/6-3 = 2/3
y-y1 = m(x-x1)
y-3 = 2/3(x-3)
The perimeter of a rectangular pool i 110 feet. If the pool i 17 feet wide, find the length of the pool
It will be 38 feet long
What is perimeter?The perimeter is the space surrounding a shape's edge.
The sum of the lengths of all the sides in a rectangular shape is its perimeter. P = 2( L+B)
Given that a rectangle's width is 17 feet and its perimeter is 110 feet, the length will be P = 2 (L + B)
110 = 2 (L + 17)
55 - 17 = L.
The pool is therefore 38 feet long.
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What magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?
a. 7
b. 0
c. 3
d. 1
e. 5
When two vectors are added, the magnitude of the resulting vector can be found using the Pythagorean theorem. The correct answer is option b, 0.
In this case, if a vector of magnitude 3 is added to a vector of magnitude 4, the resulting vector can have a magnitude of:
sqrt(3^2 + 4^2) = 5
Therefore, the magnitude 0 is not possible when a vector of magnitude 3 is added to a vector of magnitude 4, since the resulting vector must have a magnitude of at least 5.
When adding two vectors, the resulting magnitude can range from the absolute difference to the sum of the magnitudes of the individual vectors. In this case, the magnitudes are 3 and 4.
1. Calculate the absolute difference: |3 - 4| = 1
2. Calculate the sum: 3 + 4 = 7
The resulting magnitude can range from 1 to 7. Therefore, the magnitude that is not possible when a vector of magnitude 3 is added to a vector of magnitude 4 is:
b. 0
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The carousel at an amusement park has 20 horses spaced evenly around its circumference. The horses are numbered consecutively from 1 to 20. The carousel completes one rotation about its axis every 40 seconds.
a. What is the central angle, in degrees, formed by horse #1 and horse #8?
b. What is the speed of the carousel in rotations per minute?
c. What is the speed of the carousel in radians per minute?
d. A child rides the carousel for 6 minutes. Through how many radians will the child pass in the course of the carousel ride?
The child passes through 18π radians in the course of the carousel ride.
To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.
Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.
Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.
To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.
6 minutes is equal to 360 seconds,
so the child passes through π/20 x 360 = 18π radians during the ride.
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How do you graph a quadratic form?
The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.
the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.
Steps to plot graph of quadratic function.
a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.
\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).
This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).
So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
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what is the solution to -(6m+8) =4(17 - m)
Answer:
m=-38
Step-by-step explanation:
-(6m+8)=4(17-m)
We move all terms to the left:
-(6m+8)-(4(17-m))=0
We add all the numbers together, and all the variables
-(6m+8)-(4(-1m+17))=0
We get rid of parentheses
-6m-(4(-1m+17))-8=0
We calculate terms in parentheses: -(4(-1m+17)), so:
4(-1m+17)
We multiply parentheses
-4m+68
Back to the equation:
-(-4m+68)
We get rid of parentheses
-6m+4m-68-8=0
We add all the numbers together, and all the variables
-2m-76=0
We move all terms containing m to the left, all other terms to the right
-2m=76
m=76/-2
m=-38
The solution to the given equation is \(-38\)
We are given -(6m+8) =4(17 - m) Open the bracket in both side by multiplying (-) to the terms at left hand and 4 to the terms at right hand\(-6m - 8 = 68 - 4m\)
Select like terms\(-6m + 4m = 68+8\)
Simplifying,\(-2m = 76\)
\(m= \frac{-76}{2}\)
\(= -38\)
Therefore, the value of m is\(-38\)
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Find the value mean value of 5,15,25,25,45.
Answer:
\(\boxed {\tt 23}\)
Step-by-step explanation:
In order to find the mean, we must add all the values together, then divide by the number of values.
1. Add the values together
The values are: 5, 15, 25, 25, 45 Add the together: 5+ 15 + 25 + 25 +45=1152. Divide by the number of values.
Count how many values are in the set of data. There are 5 values. Divide by 5.
Divide: 115/5 =23The mean is 23.
Estimate the disease probability in one city given the probability is very low nationwide. Randomly asked 1000 person in this city, with all negative response (NO disease). What is the probability of disease in this city?
The probability of the disease is very low nationwide. We need to estimate the disease probability in one city. The probability of disease in this city is 0.0976% (0.000976 or 0.00001) or 99.9024%.
Solution:Let's assume that the probability of the disease in the city is p.
We know that the probability of having no disease is (1-p).
Out of the 1000 people randomly asked, all of them have no disease which means they all responded negatively.
The probability of one person not having a disease = 1-p
Probability of 1000 people not having a disease =
(1-p) × (1-p) × (1-p) × ... (1000 times)
= (1-p)^1000
Given that the probability of disease is very low nationwide.
The probability of having no disease is high (say 0.9).
So the probability of a disease in the city = 1 - probability of no disease in the city
= 1 - (1-p)^1000= 1 - (1-0.9)^1000
= 1 - 0.000976
= 0.999024
= 99.9024%
Therefore, the probability of disease in this city is 0.0976% (0.000976 or 0.00001) or 99.9024%.
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help pleaseseee
what’s the answer
Answer:
nice
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
I think 115 because The angles are 50, 65, 65. So just subtract 65 from 180 to get your answer. Or just add 50 and 65 to get your answer.
Was this helpful??
I NEED HELP ON THIS ASAP!!! WILL GIVE BRAINLIEST!!
The best measure of center is the mean
The are 20 students represented by the whisker
The percentage of classrooms with 23 or more is 25%
The percentage of classrooms with 17 to 23 is 50%
The best measure of centerFrom the question, we have the following parameters that can be used in our computation:
The box plot
There are no outlier on the boxplot
This means that the best measure of center is mean
The students in the whiskerHere, we calculate the range
So, we have
Range = 30 - 10
Evaluate
Range = 20
The percentage of classrooms with 23 or moreFrom the boxplot, we have
Third quartile = 23
This means that the percentage of classrooms with 23 or more is 25%
The percentage of classrooms with 17 to 23From the boxplot, we have
First quartile = 15
Third quartile = 23
This means that the percentage of classrooms with 17 to 23 is 50%
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sketch a graph of x = − 2 cos ( t ) , y = − 1 sin ( t ) , 0 ≤ t < 2 π .
The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.
To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.
1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.
2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.
3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.
4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.
The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.
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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM
Answer:
Step-by-step explanation:
\(\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}\)
Answer: Basically, bottom is first. The top is second, and the middle one is last.
Step-by-step explanation:
1. Super Duper Easy, first, subtract ax, making it by = c - ax
2. Then, divide b , so by/b = c/b - ax/b
3. Becoming y = c/b - ax/b
M Investigating Graphs of Polynomial Functions, Part 1 Identify the correct leading coefficient, degree, and end behavior of P(x) = 4x5 + 9x4 + 6x³ - x² + 2x - 7. leading coefficient: 4 degree: 5 end behavior: as x-c -00, P(x)--00 as x- +00, P(x) 4 +00 leading coefficient: 4 degree: 5 end behavior: as x-> -00, P(x) +0, as x +[infinity], P(x)--0 leading coefficient: 5 degree: 4 end behavior: as x --, P(x)--0 as x +00, P(x)- +00 Indr evious Submitting an external tool YERJEVI p
The correct is leading coefficient: 4, degree: 5, end behavior: as x approaches negative infinity, P(x) approaches negative infinity; as x approaches positive infinity, P(x) approaches positive infinity.
The correct leading coefficient of the polynomial function P(x) = 4x^5 + 9x^4 + 6x^3 - x^2 + 2x - 7 is 4. The degree of the polynomial is 5, which is determined by the highest power of x in the polynomial.
The end behavior of the function is determined by the leading term, which is the term with the highest degree. In this case, the leading term is 4x^5. As x approaches negative infinity, the value of P(x) approaches negative infinity, and as x approaches positive infinity, the value of P(x) also approaches positive infinity.
Therefore, the correct end behavior is:
- As x approaches negative infinity, P(x) approaches negative infinity.
- As x approaches positive infinity, P(x) approaches positive infinity
The given options for leading coefficient, degree, and end behavior do not match the polynomial function provided. The correct answer is leading coefficient: 4, degree: 5, end behavior: as x approaches negative infinity, P(x) approaches negative infinity; as x approaches positive infinity, P(x) approaches positive infinity.
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find the minimum value of the function f(x)= x2+2.6x-2 to the nearest hundredth.
Answer:
\((-1.3,-3.69)\)
Step-by-step explanation:
Take the derivative of the function and set it equal to 0.
\(f(x)=x^2+2.6x-2\)
\(f'(x)=2x+2.6 = 0\)
Solve for x.
\(2x+2.6=0\\2x=-2.6\\x=-1.3\)
Find \(f(-1.3)\)
\(f(-1.3)=(-1.3)^2+2.6(-1.3)-2\)
\(f(-1.3)=-3.69\)
HELP ME ASAP PLEASE ?!?!Find the value of x.
Answer:
38 degree
Step-by-step explanation:
all the angles of a triangle are 180 . a supplementary angle is 105 degree... first subtract 180 - 105 (A), because it is a supplementary angle , so 75 degrees then do 180 - ( 67 + 75 ) that is 38 = x
Finding the Angle Between Two Vectors in Space Recall the definition of the dof product: ab=∣a∣∣b∣cov( theta ). thela Based on tho formula sbove write a MATLAB useridefined functicn fo find the angle theia in degrees given the 3 -dimensional vectors a and b. The functon hame is 1 function th = Angle8etween (a,b) ₹ NOTE: DO NOT CHANGE CODE ON THIS LINE! th=;8 insert the result solving the given formula for theta end Code to call your function 2
The disp(angle) line will display the result, which is the angle between the vectors a and b in degrees.
Certainly! Here's a MATLAB user-defined function that calculates the angle between two 3-dimensional vectors, a and b, using the given formula:
function th = AngleBetween(a, b)
% Calculate the dot product of a and b
dotProduct = dot(a, b);
% Calculate the magnitudes of vectors a and b
magnitudeA = norm(a);
magnitudeB = norm(b);
% Calculate the angle theta using the dot product and magnitudes
theta = acos(dotProduct / (magnitudeA * magnitudeB));
% Convert theta from radians to degrees
th = rad2deg(theta);
end
To use this function, you can call it with the vectors a and b as inputs:
a = [1, 2, 3];
b = [4, 5, 6];
angle = AngleBetween(a, b);
disp(angle);
The disp(angle) line will display the result, which is the angle between the vectors a and b in degrees.
Make sure to replace the vectors a and b with your own values when calling the function.
Note: The given formula assumes that the vectors a and b are column vectors, and the MATLAB function dot calculates the dot product between the vectors.
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if two distinct numbers are chosen at random from the set {1, 5, 10, 100} what is the probability that their sum will be greater than 100?
can someone save my grades and ego and explain this
please!
The probability of having the sums that would exceed 100 has been calculated to be 0.5
How to solve for the probabilityWe have the set or the sample space as:{1 , 5 , 10 , 100) It is said that two numbers would be able to be gotten from the set that we have. Given that the total numbers are 4, we would have ⁴C₂ = 6
The two numbers would be gotten from the set of 4 numbers in 6 different ways.
We are to find the numbers which when we add them up would be able to give us a sum that is greater than 100 these values are (100, 1), (100, 5), (100, 10)
Hence three pairs out of the given six that we already have would be able to give us values that are more than 10. We would have to divide through such that 3 / 6 = 1 / 2 = 0.5
Hence the probability that their values when summed would have to be greater than 100 is 0.5
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HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat
Factor the expression using the GCF. 2x+10
Answer:
2x+10
Simplifying
2x + 10
Reorder the terms:
10 + 2x
Factor out the Greatest Common Factor (GCF), '2'.
2(5 + x)
Final result:
2(5 + x)
Step-by-step explanation:
choose as brainliest
Answer:
2(x+5)
Step-by-step explanation:
Looking at 2x+10, they all are factorable with 2. Divide 2x and 10 by two and bring the two outside. Which you will get:
2(x+5)
49,47,52,50,55
calculate the difference between each pair of consecutive numbers. what do you notice?
Answer:
There’s a pattern in the differences
Step-by-step explanation:
49, 47, 52, 50, 55
-2 +5 -2 +5
Each of Frank's notebooks is 2/5 inches wide. If he has 10 inches of space remaining on his bookshelf, how many notebooks will fit
We can fit 25 notebooks on the space.
Now, According to the question:
The width of the notebook is 2/5
The length of the space is 10 inches.
To find the number of the notebooks can put there divide 30 by 2/3
Number of the books : \(\frac{10}{\frac{2}{5} }\) = 10 × \(\frac{5}{2}\)
=> 50/2 = 25
The number of the notebook is 25
We can fit 25 notebooks on the space.
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3
Select the correct answer from the drop-down menu.
Triangle ABC has a perimeter of 40 inches. What is AC?
A
(x+1) in
AC =
18
9
10
27
C
✓in
2x in
(x + 3) in
B
Reset
Next
The length of AC cannot be determined based on the information provided.
The confusion earlier.
Given the information that Triangle ABC has a perimeter of 40 inches, we can proceed to find the length of AC.
Let's assume that AC has a length of x inches.
Since the perimeter of a triangle is the sum of the lengths of its sides, we can set up an equation:
AC + AB + BC = 40
Substituting the values in the equation, we have:
x + AB + BC = 40
Without any additional information or specific lengths for AB and BC, it is not possible to determine the exact value of x or AC.
The lengths of AB and BC could vary, resulting in different values for AC.
the prior haziness.
We can go on to find the length of AC now that we know Triangle ABC has a perimeter of 40 inches.
Assume for the moment that AC is x inches long.
We may create the equation AC + AB + BC = 40 since the perimeter of a triangle is equal to the sum of the lengths of its sides.
With the variables in the equation substituted, we get x + AB + BC = 40.
The exact value of x or AC cannot be calculated in the absence of any more details or precise lengths for AB and BC.
various values for AC might come from various AB and BC lengths.
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A phone originally cost £70 and is increased to £77
What is the percentage increase?
Answer:
mark me brainliest
Step-by-step explanation:
10% increased
Answer:
10%
Step-by-step explanation:
100%-> 70
1%->0.7
77-70=7
7÷0.7=10