Answer:
The value of AC = 5 units
Step-by-step explanation:
Given the triangles
ΔABCΔXYZIn the diagram,
ΔABC ~ ΔXYZWe know that two triangles are termed as similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore,
AB : XY = AC : XZ
AB / XY = AC / XZ
as
AB = 4XY = 6XZ = 7.5AC = ?so we can determine AC as the ratios of the side become
4 / 6 = AC / 7.5
AC = 4/6 × 7.5
= 5 units
Therefore, the value of AC = 5 units
The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90 22 $165 The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
Answer:
c
Step-by-step explanation:
100% on edge
The temperature in the morning is 18.6 C. By noon the temperature rises 8.5 C. What is the temperature at noon
Answer:27.1c
Step-by-step explanation:
18.6 + 8.5 =27.1
Answer:
27.1
Step-by-step explanation:
Solve:
Three less than the product of eight thirds and nine.
Pls HELP ME
Answer:
21Step-by-step explanation:
Product of eight thirds and nine:
8/3×9 = 24Three less than the product of eight thirds and nine:
24 - 3 = 21an object dropped from a height of 210ft will fall according to the equation h(t) =210-16t^2. how long will it take the object to reach the ground
Answer:
\(\sqrt{210/16}\)
Step-by-step explanation:
By saying reach the ground, it means the altitude w\(\sqrt{}\)ill be zero, so the equation will be: 210 - 16t^2 = 0
210 = 16t^2, t = \(\sqrt{210/16}\)
I WILL GIVE BRAINLIST!! The perimeter of ABCD is 140. Solve for x, y, and z
* there is picture down below*
Answer:
ABCD is a kiteProperties:
AB = AD, CB = CD, AC⊥DB, AC is angle bisector of DAB and DCBFind x:
P = 140 2(2x + 7 + 4x +3) = 1406x + 10 = 706x = 60x = 10Find y:
3y - 1 and 28° are complementary3y - 1 = 90° - 28°3y - 1 = 62°3y = 63°y = 21°Find z:
4z and 58° are complementary4z = 90° - 584z = 32°z = 8°Answer:
x=10
y = 21°
z=8°
Step-by-step explanation:
we have
AB = AD, CB = CD,
AC perpendicular to DB, AC is angle bisector of DAB and DCB
Perimeter = 140
2(2x + 7 + 4x +3) = 140
6x + 10 = 70
6x = 60
x = 60/6=10
x=10
again
3y - 1 +28° =90
3y - 1 = 90° - 28°
3y - 1 = 62°
3y = 63°
y = 21°
again
4z+58°=90
4z = 90° - 58
4z = 32°
z=32/4
z=8°
A full grown grizzly bear eats 60.5 pounds of fruits and vegetables each day. However, the zoo can only buy fruits and vegetables by the ounce. How many ounces of fruits and vegetables does the zoo need to buy for the bear each day? when converting _________ to _______, i need to __________. solve the problem:
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
what is the answer to this problem: 7+y-x−x?
Answer:
7+y-2x
Step-by-step explanation:
-2 is the answer to this question
Dave's wardrobe contains 25 T-shirts, of which 13 are gray. Dave selects a T-shirt at random.
What is the probability that Dave will select a gray T-shirt?
Enter a reduced fraction
What are the odds in favor of Dave selecting a gray T-shirt?
Enter the ratio in lowest terms
The probability that Dave will select a gray T-shirt is 13 / 25.
The odds in favor of picking a gray T-shirt is 13 : 25
What is the probability?
Probability is used to calculate the odds that are in favor or against a random event happening. The odds in favor or against a random event happening has a probability value that lies between 0 and 1. The higher the odds that are in favor of the event happening, the closer the probability value would be to 1.
The probability that Dave will select a gray T-shirt = number of gray T-shirts / total number of T-shirts
13 / 25
Ratio is used to compare two or more numbers together.
The odds in favor of picking a gray T-shirt = number of gray T-shirt : total number of T-shirts = 13 : 25
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please help me outtttttttttttttt 15 points
Answer:
6 there are 6 motorcycles
Step-by-step explanation:
A family compares the cost of renting a truck from two different companies for its 2-day move to another state.The costs are shown in the table.
A. The functions are given as follows:
Company X: X(m) = 245.9 + 0.59m.Company Y: Y(m) = 91.9 + 0.79m.B. The company from which the family should rent the truck is: Company Y.
How to define the functions?There are two costs in the problem, given as follows:
Fixed costs: base, drop-off and insurance.Variable: cost per mile.The fixed costs for Company X are given as follows:
Base: 2 x 29.95 = 59.90.Drop-off: 150.Insurance: 2 x 18 = 36.The variable cost is of 0.59 per mile, hence the function, considering a trip of m miles, is given as follows:
X(m) = 59.90 + 150 + 36 + 0.59m.
X(m) = 245.9 + 0.59m.
The fixed costs for Company Y are given as follows:
Base: 2 x 19.95 = 39.90.Drop-off: included.Insurance: 2 x 26 = 52.The variable cost is of 0.79 per mile, hence the function, considering a trip of m miles, is given as follows:
Y(m) = 39.90 + 52 + 0.79m
Y(m) = 91.9 + 0.79m.
The trip is of 750 miles, hence the costs are given as follows:
X(750) = 245.9 + 0.59 x 750 = $688.4.Y(750) = 91.9 + 0.79 x 750 = $684.4.Due to the lower cost, Company Y should be chosen.
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Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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What is -32 x 3? thanx
Answer:
The answer is -96
Step-by-step explanation:
The answer is -96
EASY QUESTION!
There are 10 marbles in a bag: 4 are blue, and 6 are red. What is the probability that a blue marble gets picked?
2/5
6/10
2/3
3/5
Answer:
The probability is 2/5
Answer:
6/10
Step-by-step explanation:
as you said it easy.
denote the volume of the cylinder as vcyl. if the cylinder has a total length l, write an equation for the volume of the cylinder in terms of r, l and any other constants
The volume of cylinder is denoted as πr²h
The density of a cylinder is determined by its volume, which indicates how much material it can hold or how much can be submerged inside it. The volume of a cylinder can be calculated using the formula r2h, where r denotes the radius of the circular base and h denotes the height of the cylinder. Any substance that can be evenly put into the cylinder, including liquid, may be used as the material. Shape volumes can be seen here.
This article contains a basic explanation of cylinder volume as well as examples with solutions for your convenience. The study of shapes and their characteristics is a key component of geometry in mathematics. Any three-dimensional shape must have both volume and surface area.
Hence, the volume of cylinder is denoted as πr²h
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HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
Thank you for the help!
Answer:
c 57
Step-by-step explanation:
A school is arranging a field trip to the zoo. The school spends 897.46 dollars on passes for 44 students and 2 teachers. The school also spends 414.92 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
213
Step-by-step explanation:
Simplify and show your work. \((6i)(-2i)(-6-4i)\)
Answer:
- 72 - 48i
Step-by-step explanation:
note that i² = - 1
(6i)(- 2i)(- 6 - 4i)
= - 12i²(- 6 - 4i)
= - 12(- 1)(- 6 - 4i)
= 12(- 6 - 4i) ← distribute parenthesis by 12
= - 72 - 48i
30 POINTS HELP ASAP
A bike lock has a 4 digit combination. Each character can be any digit between 1-9. The only restriction is that all 4 characters cannot be the same. For example, 1111, 2222, 3333,...etc. How many combinations are possible?
10.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's 6th grade class has 15 students with brown eyes and 10 students with blue eyes. What is the ratio of brown eyed students in Ms. Abbott's class compared to the brown eyed students in Mrs. Downey's classroom? Choose all of the correct answers.
a.
3:2
c.
6:5
b.
2:3
d.
18:15
Answer:
6:5
18:15
Step-by-step explanation:
Answer:
a and b
Step-by-step explanation:
What is represented on the x-axis of this graph?
A)The percentage of surviving individuals, using a normal (non-logarithmic) scale
B)The percentage of surviving individuals, using a logarithmic scale
C)The type of survivorship curve
D)Individuals' life spans as a percentage of the maximum life span for the species
The x-axis of this graph is D) Individuals' life spans as a percentage of the maximum life span for the species.
In mathematics, "graph" can refer to (at least) two different things. The word "graph" in elementary mathematics refers to a plot or a function graph.
A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).
Making a diagram that shows the link between two or more objects is known as developing a graph. Create a graph by placing a series of bars on graph paper.
Depending on age, survival curves display the likelihood of survival in a population. The y-axis represents the number of survivors (on a log scale), while the x-axis represents time (indicating relative age). The graph's x-axis (horizontal line) should contain the independent variable, and the y-axis should contain the dependent variable. At the origin, where the coordinates are, the x and y axes intersect.
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Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).
Answer:
y=(x-2)^2-81
Step-by-step explanation:
what is the smallest value?
The smallest value (minimum) among the following (3.11, 0.956, 36, 4.21, or 10.1) is 0.956.
What is the smallest value?The smallest value refers to the minimum value among the data set values.
The opposite of the smallest value is the maximum value or the largest value.
In these values, 3.11, 0.956, 36, 4.21, or 10.1, 0.956 is obviously the smallest because it is less than 1, whereas other values are more than 1 and it represents a proper fraction, unlike the other improper fractional values.
Thus, we can conclude that 0.956 is a fractional value depicted as a decimal, unlike other values that combine whole numbers with some fractions.
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Question Completion:Which of the following is the smallest value, 3.11, 0.956, 36, 4.21, or 10.1
DE is a midsegment. angle A = 3x +7 and angle BDE= 5x - 2. Solve for x.
Step-by-step explanation:
Since DE is a midsegment, it divides the side AB into two congruent segments. Therefore, we can conclude that angle ADE is congruent to angle BDE. Using this fact and the given angle measures, we can set up an equation and solve for x:
ADE = BDE (since DE is a midsegment)
3x + 7 = 5x - 2 (substitute the given angle measures)
7 = 2x - 2 (subtract 3x from both sides)
9 = 2x (add 2 to both sides)
x = 4.5
Therefore, the solution is x = 4.5.
write a recursive formula for the sequence 15,26,48,92,180, ... find the next term
Question #8
Answer:
The nth term is Tn = 2[T(n- 1) -2]
The next term is 356
Step-by-step explanation:
Given
Terms: 15,26,48,92,180
Solving (a) : The recursive n term
We have:
T1 = 15
T2 = 26 = 13 * 2 = (15 - 2) * 2
T3 = 48 = 24 * 2 = (26 - 2) * 2
T4 = 92 = 46 * 2 = (48 - 2) * 2
T5 = 180 = 90 * 2 = (92 - 2) * 2
So, the nth term can be represented as:
Tn = [T(n-1) - 2] * 2
Tn = 2[T(n-1) - 2]
The next term is the 6th term.
So, substitute 6 for n in the above formula.
T6 = 2 * [T(6 - 1) - 2]
T6 = 2 * [T5 - 2]
Substitute 180 for T5
T6 = 2 * (180 - 2)
T6 = 2 * 178
T6 = 356
14. y = -(x - 2)² + 1 graphed
Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.
How do you draw a graph ?\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)
Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)
Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)
Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .
Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .
The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.
There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.
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Daniels new book has 240 pages in it. After he read it. Daniel counted all the pages with pictures. If 1/12 of the pages had pictures, how many pages of daniels book had pictures
20 pages of Daniel's book had pictures.
If 1/12 of the pages in Daniel's book had pictures, we can calculate the number of pages with pictures by multiplying the total number of pages in the book by 1/12:
240 pages x (1/12) = 20 pages
To find the number of pages with pictures in the entire book, we need to determine how many groups of 12 pages there are in the book and then multiply that number by the number of pages with pictures in each group (which is one page). We can do this by multiplying the total number of pages in the book (240) by the fraction 1/12, which gives us 20 pages with pictures in the book.
Therefore, 20 pages of Daniel's book had pictures.
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suppose that we have a sample space with five equally likely experimental outcomes: , , , , and . let a. find , , and (to 2 decimals). b. find (to 2 decimals). are and mutually exclusive? - select your answer - c. find , , , and . (i) (ii) (iii) (iv) (v) (vi) - select your answer - - select your answer - (to 2 decimals) (to 2 decimals) d. find and . (i) (ii) (iii) - select your answer - (to 2 decimals). e. find . (to 2 decimals)
P(A∪B)=4/5, P(C)=2/5, \(P(AUB^c)=\frac{3}{5}\), n(BUC)=4.
The given information is: U = {E1, E2, E3, E4, E5}, A = {E1, E2} B = {E3, E4} C = {E2, E3, E5}
Total number of outcomes = 5
From the given information, we get
n(U)=5,n(a)=2,n(B)=3, n(C)=3
The formula for probability:
Probability=number of favorable/number of total outcomes.
(a) To Find P(A), P(B), and P(C):
\(P(A)=\frac{n(A)}{n(U)} \\\\P(B)=\frac{n(B)}{n(U)} \\\\P(C)=\frac{n(C)}{n(U)}\)
(b) To Find P(A U B):
Now We should find P(AUB) if A and B are mutually exclusive.
P(A∩B)=0
P(A∪B)=P(A)+P(B)-P(A∩B).
P(A∪B)=P(A)+P(B).
P(A∪B)=2/5+2/5
P(AUB)=4/5
c)
\(A^c=U-A=[E1, E2, E3, E4, E5]- [E1, E2]=E_3,E_4,E_5\)
Number of elements in \(A^c\)=3.
\(n(A^c)=3\)
\(P(A^c)=\frac{n(A^c)}{n(u)} =\frac{3}{5}\\\\ C^c=U-C=[E1, E2, E3, E4, E5]-[{E2, E3, E5}]=E_1,E_4\)
Number of elements in \(C^c\)= 2
\(n(C^c)=2\\\\P(c^c)=2/5\)
d)
\(AUB^c=A+B^c=[E_1,E_2]+[E_1,E_2, E_5]=E_1,E_2,E_5\)
\(P(AUB^c)=\frac{n(C^c)}{n(U)} =\frac{3}{5}\)
(e)
(BUC)=B+C= E₃, E₄+E₂, E₃, E₅= E₂,E₃,E₄,E₅
n(BUC)=4
So,
P(BUC)=n(BUC)/n(U)=4/5
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Full question:
Suppose that a sample space has five equally likely experimental outcomes: E1, E2, E3, E4, and E5. Let A = {E1, E2} B = {E3, E4} C = {E2, E3, E5}
a. Find P(A), P(B), and P(C).
b. Find P(A U B). Are A and B mutually exclusive?
c. Find A^c, C^c, P(A^c), and P(C^c).
d. Find A U B^c and P(A U B^c).
e. Find P(BUC).
anybody plot the graph using laptop or computer need urgently
In the given inequality 14 + x > 5, the graph represents the value of x greater than -9.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When the inequality is plotted on the graph it represents that the value of x is greater than -9.
The graph of the inequality 14 + x > 5, is attached with the answer below.
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Based on the graph how many bottles will be filled in 80 seconds? 
Answer:
Below
Step-by-step explanation:
Find unit rate (since it starts at 0,0)
at 45 seconds it is 900 bottles
900 bottles / 45 seconds = 20 bottle / sec
20 bottles / sec * 80 sec = 1600 bottles