Answer:
Factor the equation
x+1(x-6)
Solutions : -1, 6
Answer:
(x - 6)(x + 1)
Step-by-step explanation:
This can factor. You need two numbers that multiply to -6 and add to - 5.
- 5 is a pretty big result which means that the two factors that fit are - 6 and 1
(x + 6)(x - 1) or
(x - 6)(x + 1)
It looks like the second one is the answer.
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
linear or nonlinear
Answer:
Linear
Step-by-step explanation:
It increases by a steady rate, so it is linear.
Henry bought a laptop for 4500 the cost of the laptop deprecate by 6% every year.If he decided to sell the laptop after 4 years at what’s price will he sell it
Answer:
give fufcy UC fugu stuff c
Step-by-step explanation:
zp staff book
Samantha works part time at a store where she earns $462.30 each month. Write an expression that could be used to find the amount Samantha earns working any number of months, m.
Answer:
462.30m
Step-by-step explanation:
1 month = $462.30
You multiply by the number of months to find how much she made over that time so $462.30 * m = 462.30m
Answer:
Step-by-step explanation:
1. There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
A. 0.06% B. 0.4% C. 6%
D. 40%
Answer:
The correct answer is D: 40%.
Step-by-step explanation:
To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.
So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.
what is equivalent to 2/6
Answer:
1/3
Step-by-step explanation:
2/6 divided by 2/2 equals 1/3.
Explanation: You have to find the common factor the numerator and denominator share.
Have A Great Day! :)
after allowing 20percent discount and levying 13percent vat the value of a watch will be rs 904 what is the marked price of watch
9514 1404 393
Answer:
₹1000
Step-by-step explanation:
Let m represent the marked price. After the discount, the price is 0.80m. After the tax is added, the price is (0.80m)(1.13). This value is Rs 904, so the marked price is ...
(0.80m)(1.3) = ₹904
m = ₹904/(0.80×1.13) = ₹904/0.904
m ≈ ₹1000
The marked price of the watch is ₹1000.
Earning an A in algebra this semester is an example of:
A. a long-term goal.
B. a short-term goal.
C. an instant goal.
D. a short-term commitment.
SUBMIT
Earning an A in algebra this semester is an example of (A) a long term goal.
One of the many branches of mathematics is algebra, which means "reunion of shattered pieces, setting of bones" in Arabic. Algebra, which is a common thread throughout practically all of mathematics, is essentially the study of mathematical symbols and the rules for using them in formulas.
Since all mathematical applications involve manipulating variables as though they were numbers, elementary algebra is a prerequisite. The study of algebraic structures like groups, rings, and fields is referred to as abstract algebra, primarily in educational contexts (the term is no more in common use outside educational context). Modern presentations of geometry include linear algebra, which deals with linear equations and linear translations, and has numerous real-world applications (in weather forecasting, for example).Since there are a wide variety of application for Algebra in our day-to-day lives and in the modern sciences, so a good score in Algebra will not only get a good score for the results but also help learn valuable information for the future. Hence it is a long-term goal.
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Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test
The total height of the three jumps is A = 20.744 feet
Given data ,
1st high jump score: 7.016 feet
2nd high jump score: 5.42 feet
3rd high jump score: 8.308 feet
On adding the scores , we get
7.016 + 5.42 + 8.308 = 20.744 feet
On simplifying the equation , we get
A = 20.744 feet
Hence , Oliver jumped a total of 20.744 feet in the three high jumps
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Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
help me please really simple
Answer:
the answer is x = 26
Work Shown:
\(\frac{x}{6} = \frac{13}{3}\\\\3x = 6*13\\\\3x = 78\\\\x = \frac{78}{3}\\\\x = 26\)
I used the cross multiplication rule on the second step. Then I divided both sides by 3.
Need help with this math. It’s either C or D? Please help
C
Step-by-step explanation:From my sources, it seems that each sine function's curve repeats itself. Or another word, "periodicity". The length for the sine and cosine curves is 2π. So I think it is C because the option says how "The cycle repeats every πradius."
I hope this helps!! If it isn't right I'm really sorry, tell me and I can correct it. Have a nice day. Also, sorry to ask but if someone else ever answers can you mark me as brainliest? I'm trying to go up a rank. Thank you.
Solve for x.
2x + 9 = 33
A. x = 7.5
B. x = 12
C. x = 21
D. x = 84
Solve for x.
2x + 9 = 33
2x = 24
x = 12
A. x = 7.5
B. x = 12
C. x = 21
D. x = 84
Answer:
\(2x + 9 = 33 \\ 2x = 33 - 9 \\ 2x = 24 \\ x = \frac{24}{2} \\ x = 12\)
find the value of x 2x = 98² - 2²
Answer:
x = 4800
Step-by-step explanation:
2x = 98^2 - 2^2
2x = 9604 - 4
2x = 9600
x = 4800
Answer:
x = 4800
Step-by-step explanation:
98^2=9604
2x=9604-2^2
2^2=4
2x=9604-4
2x=9600
2x/2 = 9600/2
x = 4800
What are the ordered pairs of the solutions for this system of equations?
Answer:
( 4, 11 ) , ( - 4, 27 )
Step-by-step explanation:
f(x) = x² - 2x + 3
f(x) = - 2x + 19
x² - 2x + 3 = - 2x + 19
x² - 16 = 0
( x + 4 )( x - 4 ) = 0
\(x_{1}\) = - 4
\(x_{2}\) = 4
f(x) = \(y_{1}\) = - 2( - 4 ) + 19 = 27
\(y_{1}\) = 27
f(x) = \(y_{2}\) = - 2( 4 ) + 19 = 11
\(y_{2}\) = 11
( 4, 11 ) , ( - 4, 27 )
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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Find the axis of symmetry for this parabola:
y = -3x2 + 6x + 1
Write your answer as an equation.
The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :
x = 1Three dice are rolled. What is the probability of getting a sum of at least 6?
Find the measure of angle DEF
Answer:
31.8
Step-by-step explanation:
90-58.2=31.8
because the square in the middle means 90 degrees!
Answer:
<DEF= 31.8°
Step-by-step explanation:
Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.
In an equation:
< DEF +58.2=90
-58.2 -58.2
----------------------------
<DEF= 31.8°
Helpp please! And don’t guess this is very important!!
Answer:
12.8 or option 3
Step-by-step explanation:
So this is actually a proportion:
The large triangle to the smaller one:
The angles of the triangles are the same so they are proportional
We know the larger one is 20/8 times the smaller one's sides because
YZ = something times QR so:
20 = 8 times 20/8
In order to find PR, we have to divide ZX by the proportion rate thing so:
32 / (20/8)
= 32 * 8/20
= 64/5
= 12.8
Simplify (3/5x-5)(3/5x+5)
Answer:
9/25x^2 -25
Step-by-step explanation:
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
2t + 9
Step-by-step explanation:
5 and 4 are like terms. 3t and -t are like terms
= 2t + 9
or 9 + 2t
Answer:
2t + 9
Step-by-step explanation:
5 + 4 = 9
3t - 1t = 2t
Okay I need help so I just don't understand. The only thing I know is that 3^{2} means 3 times 3 but How do I solve the problem???
Answer:
(49-3square)÷(10-5)
(49-9)÷5
40÷5
8
HELLLLLLLLLLLLLPPPPPPP PLZZZZZZZZZZ
Answer:
90cm2
Step-by-step explanation:
i have worked it in the picture
hope you will understand
Use the common ratio to find the next term of the geometric sequence. 120,60,30, ...
Answer:
15.
Step-by-step explanation:
The common ratio = 60/120 = 1/2
So the next term is 30 * 1/2 = 15.
Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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What is the data correlation in the scatter plot below?
No correlation
Positive
Negative
The data correlation in the scatter plot above include the following: B. positive.
What is a positive correlation?In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.
This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.
By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.
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Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
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+ 1 1 1 1 7 Entrance Ticket: Sequencing with Dilations 1. Describe the two sequences of transformations that can be used to demonstrate similarity between triangles ABC and DEC. 5 ty D 2. Identify the algebraic rule (general rule) of each transformation. А X -5 E 01C B 3.Explain the relationship between triangles ABC and DEC (congruent or similarity). Explain how you know. -5
1. To obtain the triangle DEC from triangle ABC, use the following transformations:
Reflection above the y-axis
Dilation
2. Reflection: The points in the training angle ABC become the points A'B'C according to the following rule
Dilation: Angle A'B'C is dilated to obtain DEC according to the following rule:
(As you can see, triangle ABC is half the size of triangle DEC, then the scale factor is: 2:1)
3. Triangles ABC and DEC are similar because their corresponding sides are proportional but not equal.
(congruent triangles have the same size on corresponding sides)
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