Answer:
least common denominator = 7y
Step-by-step explanation:
3/y = 21/7y
1/7y and 21/7y have a least common denominator of 7y.
Solve |2x - 2 ≥ 6.
A. x≤-2 or x ≥ 4
B. x ≤3 or x ≥ 5
C. x ≤-2 or x ≥ 5
D. x ≤-2 or x ≥ 6
In triangle ABC acute angles are in the ratio 5:1, i.e.
Answer:
The quen is as following:
ABC is a right triangle at C,
Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1
If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.
The solution is: m∠HCL = 30°
Step-by-step explanation:
See the attached figure.
∵The triangle is right at C ∴∠C = 90°
∴∠A + ∠B = 90° ⇒(1)
∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1
∴∠A = 5 times ∠B
Substitute at (1)
∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15° and ∠A = 75°
∵CL is an angle bisector of ∠ACB
∴ ∠ACL = 90°/2 = 45°
∵ CH is an altitude to AB ⇒ ∠CHA = 90°
At the triangle AHC:
∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°
∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°
Can someone help me with this? Please and thank you
The measures in this problem are given as follows:
1. x = 14.
2. m < 1 = 58º.
3. m < 2 = 122º.
How to obtain the measures?Angles 1 and 2 are supplementary, as the angle 1 and the consecutive interior angle with angle 2 are corresponding angles, meaning that they are congruent, and then the angles are supplementary with their consecutive interior angles.
When two angles are supplementary, the sum of their measures is of 180º, hence the measure of x is obtained as follows:
m < 1 + m < 2 = 180
2x + 30 + 8x + 10 = 180
10x + 40 = 180
10x = 140
x = 140/10
x = 14.
Then the angle measures are obtained as follows:
m < 1 = 2(14) + 30 = 58º.m < 2 = 8(14) + 10 = 122º.More can be learned about parallel and transversal lines at https://brainly.com/question/24607467
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how many possible outcomes are there?
show that (2n-5)^2 - 13 is a multiple of 4 for all integers
Step-by-step explanation:
⭐ What does it mean for a number (x) to be a multiple of another number (y)?
If x is a multiple of y, then x is divisible by y.Thus, we have to show that [tex](2n-5)^2 - 13[/tex] is divisible by 4.
Let's compute [tex](2n-5)^2 - 13[/tex]:
[tex](2n-5)^2[/tex] is the polynomial identity [tex](a-b)^2[/tex][tex](a-b)^2 = a^2 -2ab + b^2[/tex][tex](2n-5) ^2 = 4n^2 -20n + 25[/tex]
[tex]4n^2 - 20n + 25 -13[/tex]
[tex]4n^2 - 20n + 12[/tex]
[tex]4n^2 - 20n + 12[/tex] is the expression we have.
To see if this expression is divisible by 4, we need to divide [tex]4n^2 - 20n + 12[/tex] by 4 and have a remainder of 0.
The given equation (2n-5)² - 13 equals 4² - 20n + 12. Because each term in the simplified equation can be divided evenly by 4, it proves that the equation is indeed a multiple of 4, assuming n is an integer.
Explanation:The problem is asking to show that the expression (2n-5)² - 13 is a multiple of 4 for all integers. To prove this, we need to expand and simplify the expression and then check whether it can be divided evenly by 4.
Let's start by expanding the expression:
(2n-5)² - 13 = 4n² - 20n + 25 - 13 = 4n² - 20n + 12
Now we can observe that all terms in the equation are divisible by 4:
4n²/4 = n², -20n/4 = -5n, and 12/4 = 3
Because all terms in the equation can be divided evenly by 4, we can say that the entire equation (2n-5)² - 13 is a multiple of 4, assuming n is an integer.
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A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use I = 3.14)
Answer:
Capacity = 9.63509
Step-by-step explanation:
V = πr²h
9.5 x 9.5 x 3.14 = 283.385
283.385 x 34 = 9,635.09
9,635.09 ÷ 1,000 = 9.63509
Please let me know if this helps.
Serena forms a random sample of 200 seventh graders from her school to learn which type of school lunch they most prefer. The results of her survey are shown below.
Food Type Chicken Nuggets Tacos Spaghetti
Number of students 87 86 27
Which is the best inference you can form based on the data? (3 points)
a
Chicken nuggets and tacos were almost liked the same amount
b
Tacos are twice as popular as spaghetti.
c
Chicken nuggets is twice as popular as spaghetti.
d
Tacos were the students' top choice
Answer:
a
Step-by-step explanation:
86 and 87 are similar. Also none of the other answers are correct
I need help with my math homework
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
Can someone help me pls
Answer:
Okay so for this one use the Pythagorean theorem
Step-by-step explanation:
A^2 + 28^2 = 128^2
You are trying to find A.
So 28^2 is 784
128^2 is 16384
Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600
Now you find the square root of both sides which gives you: A= 124.89 round it to 125
r packages include sample datasets. they also include reusable r functions and documentation about how to use the functions. t/f
r packages include sample datasets. they also include reusable r functions and documentation about how to use the functions this statement is true.
What is function?Function in math is a mathematical relationship between two variables where one is dependent on the other. This relationship can be expressed as an equation, graph, or table. Every input has one and only one output. This means that the output of a function is determined by the input given. Functions can be used to model real-world phenomena, helping us to make predictions and solve problems.
Packages offer a great way to save time and energy when working with data in r.
R packages are a great way to save time and energy when working with data in R. They provide a convenient way to access multiple datasets, functions, and documentation in one place. Additionally, many packages also contain sample data and code examples to help users quickly get up and running with their data analysis.
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Find the least common denominator of
7
and
X+4 x-4
pls help if you get it correct u will get 100 brainly points
Answer: -28
Step-by-step explanation:
Mutiply by 7 on both sides, it cancels out to the left and then -4 (7) equals -28 so n= -28
Answer:
-28
Step-by-step explanation:
Multiply both sides by 7
That cancel outs the denominator 7 out and multiples -4 to -28
now all that's left is 1n or just n = -28
Help:’/ it’s my last year
simplify the expression by distributing combining like terns 2x + 3(2x+1)
Answer:
3
Step-by-step explanation:
23
Please help I’m really struggling!!!!!
9514 1404 393
Answer:
A. x = {nπ, π/4 +nπ}
Step-by-step explanation:
The zero product rule tells you the solutions are found where the factors are zero:
tan(x) = 0 ⇒ x = nπ
tan(x) -1 = 0 ⇒ x = arctan(1) +nπ = π/4 +nπ
_____
When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.
Solve this equation (Shown in the screenshot below)
Answer:
x = {-2, 0, 2}
Step-by-step explanation:
You want the solutions to √((√(x²) -1)²) = 1.
SolutionSquaring both sides gives ...
(√(x²) -1)² = 1² = 1
Taking the square root of both sides gives ...
√(x²) -1 = ±1
Adding 1, we have ...
√(x²) = 1 ± 1 = {0, 2}
We know that √(x²) = |x|, so this reduces to ...
|x| = {0, 2}
x = {±0, ±2}
x = {-2, 0, 2}
__
Additional comment
For finding the solutions graphically, we like to plot the equation in the form f(x) = 0. The graphing calculator readily identifies the x-intercepts, which are the solutions.
Write an equation in slope-intercept form (-5,-7);y=-2x+4
Answer:
Step-by-step explanation:
First, let us substitute x and y values: -7 = -2(-5) + 4
Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).
Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:
14 + b = -7
by simplifying, we can conclude that b = -21
Finally, we can plug in the b-value into our original equation:
y = -2x + 4 - 21
After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).
Interest rate fixed at 6%, n = 26 payments per year, for payment
amounts of $50, $100, $150, $200 (4 separate sheets-1 for each payment amount)
Answer:
hi the anser might be 600$
Step-by-step explanation:
help multipy
look at the picture
The answer is -2x² + 8x + 54 = 0.
What is multiplication?This refers to a method used to easily solve the task of repeated addition of the same number. It is used when we need to combine groups of equal sizes.
Given in the question:
[tex]\frac{2x +3 }{x^{2}-x}[/tex] *[tex]\frac{4x^{2 } +8x }{10x +30}[/tex]
Multiply the numerators and denominators and equate the two:
(2x + 3) * (4x² + 8x)= ( x² - x) * (10x + 30)
expanding further we have:
(2x + 3) * 4x² + (2x + 3) *8x = ( x² - x) * 10x + ( x² - x) * 30
8x³+12x² +16x² +24x= 10x³ -10x² + 30x² -30x
Resolving the left-hand side of the equation and the right-hand side and equating to zero we have:
8x³- 10x³ + 12x² +16x² +10x² -30x² +24x +30x
2x³ + 8x² + 54x = 0.
Divide through by x, we have:
[tex]\frac{-2x^{3} }{x}[/tex] + [tex]\frac{8x^{2} }{x}[/tex] + [tex]\frac{54x}{x}[/tex] = 0
-2x² + 8x + 54 = 0.
Hence the answer is-2x² + 8x + 54 = 0.
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Pls help A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random which color is likely to be chosen? Pls I need help it will mean the world to me have a good day thank u pls help
A.red
B.green
C.yellow
D.blue
Please help I kind of understand but not fully
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
M = y2-y1/x2-x1FROM GRAPH #1:
(3,40) (2,80)(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
FROM GRAPH #2:
(1,10) (3,20)(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
y=mx+bThe (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
Graph #1:
y=mx+b
y=-20x+40
Graph #2:
y=mx+b
y=5x+10
HOPE THIS HELPS :)How many solutions will each system of linear equations have? Match the systems with the correct number of
solutions.
y=x+6 and 3x-3y = -18
y=-4x+11 and -6x + y = 11
y=-2x+5 and 2x + y = -7
infinitely many solutions
one solution
no solution
The correct answer is System 1: Infinitely many solutionsSystem 2: One solutionSystem 3: No solution
Let's analyze each system of linear equations and determine the number of solutions they have.
y = x + 6 and 3x - 3y = -18
In this system, the first equation is a linear equation in slope-intercept form, and the second equation is a linear equation in standard form. The two equations represent the same line. Since they are the same line, they intersect at infinitely many points. Therefore, this system has infinitely many solutions.
y = -4x + 11 and -6x + y = 11
Both equations in this system are in slope-intercept form. The slopes of the two lines are different (-4 and -6), indicating that the lines are not parallel. Since the lines are not parallel and have different slopes, they intersect at a single point. Therefore, this system has one solution.
y = -2x + 5 and 2x + y = -7
Both equations in this system are in slope-intercept form. The slopes of the two lines are equal (-2 and 2), but their y-intercepts are different. When the slopes are equal and the y-intercepts are different, the lines are parallel and do not intersect. Therefore, this system has no solution.
Matching the systems with the correct number of solutions:
System 1: Infinitely many solutions
System 2: One solution
System 3: No solution
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create a linear model that could be used to calculate the cost to mail a package, given its weight in ounces. let p represent the price to mail a package that weighs x ounces. enter the second linear model simplified in the from p
The linear model that could be used to calculate cost of mailing a large envelope is L(x) = 0.88 + 0.2(x – 1) and used to calculate cost of mailing a package is P(x) = 1.71 + 0.17(x – 3). The weight at which the cost a large envelope and a package will cost the same amount to mail is 17 ounces.
Linear models are used to describe a continuous response variable as a function of one or more predictor variables. Let x be the weight in ounces and L be the cost of mailing a large envelope. Based on the provided information, the cost of mailing a large envelope increases with increasing weight. The cost of mailing one ounce is $0.88 and increased by $0.2 for each additional weight. Hence,
L(x) = 0.88 + 0.2(x – 1)
Let x be the weight in ounces and P be the cost of mailing a package. Based on the provided information, the cost of mailing a package remains the same for weight of 1 to 3 ounces at the cost of $1.71, and then increases by $0.17 for each additional weight. Hence,
P(x) = 1.71 + 0.17(x – 3)
The weight at which a large envelope and a package will cost the same amount to mail is determined by equating the two models.
L(x) = P(x)
0.88 + 0.2(x – 1) = 1.71 + 0.17(x – 3)
0.88 + 0.2x – 0.2 = 1.71 + 0.17x – 0.51
0.68 + 0.2 x = 0.17 x + 1.2
0.2x – 0.17x = 1.2 – 0.68
0.03x = 0.52
x = 17.33 ≈ 17 ounces
Note: The question is incomplete. The complete question probably is: Provided table indicates the U.S. Postal Rates for large envelopes and packages of different weights. a) Create a linear model that could be used to calculate the cost to mail a large envelope, given its weight in ounces. Use L to represent the cost to mail a large envelope and x to represent the envelope weight in ounces. Create a linear model that could be used to calculate the cost to mail a package, given its weight in ounces. Use P to represent the cost to mail a package and x to represent the package weight in ounces. Find the weight at which a large envelope and a package will cost the same amount to mail, assuming your linear models still apply to higher weights.
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A system of equations is shown.
x = -2y - 3.5
-5x + 3y = -15
What is the value of x + y?
Show all work to receive full credit for this question. You may show your work by writing in the text box or by taking a picture of your work and uploading it use the embed image button.
The value of the variable x and y will be 1.5 and -2.5, respectively. Then the value of the expression (x + y) will be negative 1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A system of equations is given below.
x = -2y - 3.5 ...1
-5x + 3y = -15 ...2
From equations 1 and 2, then we have
-5(-2y - 3.5) + 3y = -15
10y + 17.5 + 3y = - 15
13y = -32.5
y = - 2.5
Then the value of the variable 'x' is calculated as,
x = - 2(-2.5) - 3.5
x = 5 - 3.5
x = 1.5
Then the value of the expression (x + y) is calculated as,
x + y = 1.5 + (-2.5)
x + y = 1.5 - 2.5
x + y = - 1
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PLEASE! An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?
A. 0.097 grams
B. 0.575 grams
C. 0.701 grams
D. 1.149 grams
E. 1.403 grams
pls help me i will mark brainliest:)
Simplify −5g(3g + 4).
−15g + 4
−15g − 20g
−15g2 + 4
−15g2 − 20g
Answer:
D = -15g² - 20g
-5g × 3g -5g×4
= -15g² -20g
# to put in ² when typing hold 2 for 5seconds...
#like please
Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Given: ∠ABC ≅ ∠DCB; ∠DBC ≅ ∠ACB
Answer:
[tex]\triangle ABC \cong \triangle DCB[/tex] by ASA
Step-by-step explanation:
[tex]\overline{BC} \cong \overline{BC}[/tex], so [tex]\triangle ABC \cong \triangle DCB[/tex] by ASA.
Find the area of a circle with radius equal to 4.
[tex]i \: think \: this \: is \: help \: full \: for \: you \: \\ \\ ]{?} [/tex]
Find the solution of the system of equations.
5x+y=-19
5x-4y=-24
The solution of the system of equations are x = -4 and y=1.
How to solve system of equations?
Look at substitution and elimination as two methods for algebraically solving systems of linear equations.To better comprehend when systems of linear equations have one solution, no solutions, or infinitely many solutions, let's look at systems of linear equations graphically.Investigate algebraic techniques for counting the number of solutions to systems involving two linear equations.5x+y=-19 -- (i)
5x-4y=-24 ---(ii)
Subtract the above two equations:
5y = 5
y = 1
Substitute y=1 in equation (ii)
5x - 4(1) = -24
5x = -20
x = -4
Hence, the solution of the system of equations are x = -4 and y=1.
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