Answer:
15/22
Step-by-step explanation:
which value of x makes the equation 2+4(6-2x)
Answer:
8=8 so it is true
Step-by-step explanation:
Shrina has read 10% of the books that are in the library. She has now read 327 books.
How many books are there in the library?
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
NEED HELP HURRY ASAP FREE BRAINLIST
Find the simplified quotient.
y^2+y/ y^2-2y/ 4y+4/ y^2-4y+4
Can someone show me the work for this answer please
Answer:
yes the first one is the correct answer
We can see here that the simplified quotient is Option A: y(y+1)/y(y−2) × [(y−2) (y−2)]/4(y+1)
What is quotient?In mathematics, the term "quotient" refers to the result of dividing one quantity (the dividend) by another quantity (the divisor). It represents the whole number or fraction obtained as a result of the division operation.
To find the simplified quotient, we need to follow the steps for dividing fractions:
Step 1: Invert the divisor (the fraction that follows the division sign) and convert the division operation to multiplication.
Step 2: Simplify the resulting fraction by canceling out any common factors in the numerator and denominator.
The given expression is:
(y² + y) / (y² − 2y) ÷ (4y+4) / (y² −4y + 4)
Step 1: Invert the divisor and convert division to multiplication:
(y² + y) / (y² − 2y) × (y² −4y + 4) / (4y+4)
Step 2: Simplify the resulting fraction:
Now, let's factor the expressions in the numerators and denominators:
y(y + 1) / y(y - 2) × (y−2)² / 4(y + 1)
= y(y+1)/y(y−2) × [(y−2) (y−2)]/4(y+1)
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due tomorrow help please :)
Answer:
68°
Step-by-step explanation:
The angles are equal to each other. Set them equal and solve for x
5x + 18 = 8x - 12 Subtract 5x from both sides of the equation
18 = 3x - 12 Add 12 to both sides of the equation
30 = 3x Divide both sides by 3
10 = x
Now that you have found x plug is back into 5x + 18
5(10) + 18
50 + 18 = 68
Answer:
∠ FLJ = 68°
Step-by-step explanation:
∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then
8x - 12 = 5x + 18 ( subtract 5x from both sides )
3x - 12 = 18 ( add 12 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is the one on the first option.
S= {1, 2, 3, 4, 5, 6, 7}
What is the sample space?
For any experiments with some given outputs, the sample space is the set of the possible outputs.
For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}
Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:
S= {1, 2, 3, 4, 5, 6, 7}
So the correct optionis the first one.
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Answer:
The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
that's it simple
pls help with this..
Answer:
B
Step-by-step explanation:
given scale is 1 inch represents 7.5 feet
then we require to calculate how many 7.5 feet there are in each dimension.
to obtain this divide each dimension by 7.5, that is
13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )
26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )
then dimensions are approximately 1.73 inches by 3.47 inches
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
The sum of three consecutive even integers
is –78. What are the integers?
Describe how you would use the strategy of writing an equation to solve the given problem.
Answer:
- 28, - 26 and - 24Step-by-step explanation:
The difference between two consecutive even integers is 2.
Let the first of the three integers is x, then the following ones are:
x + 2 and x + 4.
The sum of the three is - 78. Express it as equation and solve for x:
x + x + 2 + x + 4 = - 783x + 6 = - 783x = - 84x = - 84/3x = - 28The integers are - 28, - 26 and - 24
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 26, 32, 44, 37, 27, 34. Use a 0.01 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
Find the general form of the equation of a hyperbola with vertices at (-2, 5) and (6, 5) and foci at (-3, 5) and (7, 5). A. 16x2 - 9y2 - 160x + 36y - 508 = 0 B. 9x2 - 16y2 - 36x + 160y - 508 = 0 C. none of these D. 3x2 - 16y2 - 12x + 160y - 532 = 0
The general form of the equation of the hyperbola with the given information is \(9x^2 - 16y^2 - 36x + 160y - 508 = 0\). The equation can be determined by first finding the center of the hyperbola, which is (2, 5), and the distance between the foci, which is 4.
The general form of the equation of a hyperbola can be determined from the given information. The vertices of the hyperbola are given as (-2, 5) and (6, 5). The foci of the hyperbola are given as (-3, 5) and (7, 5). The first step in finding the equation of the hyperbola is to determine the center of the hyperbola. The center of the hyperbola can be calculated by taking the average of the x-coordinates of the vertices and then the average of the y-coordinates of the vertices. The center of the hyperbola is then (2, 5). The distance between the foci of the hyperbola is 4. This distance can be calculated by subtracting the x-coordinates of the foci and then subtracting the y-coordinates of the foci. The standard equation for a hyperbola can then be formed by substituting the center coordinates and the distance between the foci into the equation. The resulting equation is \(9x^2 - 16y^2 - 36x + 160y - 508 = 0\). This equation is the general form of the equation of the hyperbola with the given
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75% of 56
Pls help me
Answer:
42
Step-by-step explanation:
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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If the reliability is
r = 0.25,
the equation becomes
R(n) =
0.25n
0.75 + 0.25n
.
What percent improvement is there in the reliability when the test length is doubled?
The percentage improvement in reliability when test length is doubled is 15%
R(n) = 0.25n / (0.75 + 0.25n)
For a test length of 1substitute n = 1 into the equation :
R(n) = 0.25n / (0.75 + 0.25n)
R(1) = 0.25(1) / (0.75 + 0.25(1))
R(1) = 0.25 / 1
R(1) = 0.25
For a test length of 2when test length is doubled , n = 2
substitute n = 1 into the equation :
R(n) = 0.25n / (0.75 + 0.25n)
R(2) = 0.25(2) / (0.75 + 0.25(2))
R(2) = 0.5 / 1.25
R(2) = 0.4
Percentage improvement can be calculated thus ;
R(2)-R(1)/R(1) × 100%
(0.4-0.25)/0.25 × 100%
0.15 × 100%
=15%
Therefore, percentage improvement in reliability is 15%
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Karla y Pedro se ven uno a otro, pero se encuentran ubicados en diferentes lugares como se muestra en la imagen. Los ángulos formados con la horizontal y la línea de mira, se llama ángulo de elevación (α) y de depresión (β), respectivamente.¿Cuál es la medida del ángulo de depresión (β) que tiene Pedro?
Answer:
31°
Step-by-step explanation:
α = ß = 31°
Simplify the expression.
3.2a + 3.5b – 2.1a
Answer:
1.1a+3.5b
Step-by-step explanation:
I need help this is the screenshot
Answer:
I think the 1st one (on the left) is linear, the rest in nonlinear
Step-by-step explanation:
There are 11 books stacked on a shelf. The red books are 1 inch high and the blue books are 2 inches high. The height of the books is 14 inches. Use a graph to estimate the number of red books and the number of blue books on the shelf.
Red books are 8 and blue books are 6.
What is inches?The smallest unit of measurement is the inch (or inches, in plural). A foot is made up of twelve inches. In the metric system, one inch is equivalent to 2.54 cm. When measuring shorter distances, such the breadth of an eraser or the length of a pencil, inches are employed.
Give conditions
Total books = 11
Red book height = 1 inches
Blue book height = 2 inches
Total height = 14 inches
We assume that
8 red books and 3 blue books = 11 books { first condition is satisfied}
In inches case:
8 * 1 = 8 { red book height 1 inches}
3 * 2 = 6 {blue book height 2 inches}
total height = 8 +6 = 14 inches {second condition is satisfied}
since red books are 8 and blue books are 6.
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There are five cities in a network. The cost of building a road directly between i and j is the entry ai,j in the matrix below. An infinite entry indicates that there is a mountain in the way and the road cannot be built. Determine the least cost of making all the cities reachable from each other.
0 3 5 11 9
3 0 3 9 8
5 3 0 [infinity] 10
11 9 [infinity] 0 7
9 9 10 7 0
Solution :
Given :
There are five cities in a network and the cost of \(\text{building}\) a road directly between \(i\) and \(j\) is the entry \(a_{i,j}\)
\(a_{i,j}\) refers to the matrix.
Road cannot be built because there is a mountain.
The given matrix :
\(\begin{bmatrix}0 & 3 & 5 & 11 & 9\\ 3 & 0 & 3 & 9 & 8\\ 5 & 3 & 0 & \infty & 10\\ 11 & 9 & \infty & 0 & 7\\ 9 & 8 & 10 & 7 & 0\end{bmatrix}\)
The matrix on the left above corresponds to the weighted graph on the right.
Using the \(\text{Kruskal's algorithm}\) we can select the cheapest edge that is not creating a cycle.
Starting with 2 edges of weight 3 and the edge of weight 5 is forbidden but the edge is 7 is available.
The edge of the weight 8 completes a minimum spanning tree and total weight 21.
If the edge of weight 8 had weight 10 then either of the edges of weight 9 could be chosen the complete the tree and in this case there could be 2 spanning trees with minimum value.
Quatre ouvriers mettent 12 jours pour réaliser un travail. Dans les mêmes conditions combien de temps mettraient six ouvriers pour réaliser ce travail ?
If my savings of $x grows 10 percent each year, how much will i have in 2 years?
Answer:
20 percent
Step-by-step explanation:
Each year is 10 percent so 10x2 or 10+10 will equal 20
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 176 feet of fencing,
what is the largest area the farmer can enclose?
Answer: 46 ft by 92 ft
Step-by-step explanation:
The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.
Use synthetic division to find the result ! Help
Using synthetic division, we find (see attached)
\(\dfrac{3x^4+11x^3-24x^2-15x+25}{x+5} = \boxed{3x^3-4x^2-4x+5}\)
Mr. Tindel will randomly choose a student from his class as the student council representative. There are 17 girls and 6 boys in his class. What is the probability that Mr. Tindel will choose a girl?
Answer: 17/23 or 73.91%
Step-by-step explanation:
There are 17 girls and 23 people in total so you do 17/23.
A
B
-ific
What can be determined from the diagram?
A)
9
ACSBC
B)
АРСР
ACAP
D
ZACPSZCAP
Answer:
D. Zacpszcap. is probably the answer
I need help with this PLEASE!!!
Answer:
See the image for marked congruences.
1. JM ≅ LM | Given
2. △JML is isosceles | definition of isosceles
3. ∠MJL ≅ ∠MLJ | isosceles triangle theorem
4. m∠MJL = m∠MLJ | definition of ≅
5. JK ≅ LK | Given
6. △JKL is isosceles | definition of isosceles
7. m∠KJL = m∠KLJ | isosceles triangle theorem
8. m∠MJL + m∠KJM = m∠KJL | adjacent angle theorem
9. m∠MLJ + m∠KMJ = m∠KLJ | adjacent angle theorem
10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM | transitive property of =
11. m∠MJL + m∠KJM = m∠MJL + m∠KLM | substitution
12. m∠KJM = m∠KMJ | subtraction
13. ∠KJM ≅ ∠KLM | definition of ≅
14. △KJM ≅ △KLM | SAS theorem
15. ∠JKM ≅ ∠LKM | CPCTC
16. KM bisects ∠JKL | definition of bisector
The graph of a sinusoidal function intersects its midline at ( 0 , − 6 ) (0,−6)left parenthesis, 0, comma, minus, 6, right parenthesis and then has a minimum point at ( 2.5 , − 9 ) (2.5,−9)left parenthesis, 2, point, 5, comma, minus, 9, right parenthesis. Write the formula of the function, where � xx is entered in radians. � ( � ) = f(x)=f, left parenthesis, x, right parenthesis, equals
The formula of the function, where x is entered in radians is y = -3sin(πx/5) -6
What is the sinusoidal function?The key components: amplitude, period, phase shift, and vertical shift.
Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.
Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9). Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.
Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.
Hence:
Amplitude: 3Vertical shift: -6Period: 5Frequency: 1/5Phase shift: 0The general form of the sinusoidal function is y = A sin (B(x-C)) + D
So, Substituting the known values into the general formula:
y = 3 x sin((1/5)x - 0) - 6
Hence: Simplifying it will be:
y = 3 x sin(πx/5) - 6
Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6
Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.
Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).
Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.
Therefore the formula for the function is seen as: y = -3·sin(πx/5) -6
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Find the value of Y.
The value of the side y is 3√3. Option C
How to determine the value of the sideIt is crucial to note the different types of trigonometric identities.
They are;
sinetangentcotangentsecantcosecantcosineFrom the diagram shown, we have that;
The angle θ = 60 degrees
The opposite side = y
The adjacent side = 3
Let's use the tangent identity
tan 60 = y/3
Find the value
√3 = y/3
cross multiply
y = 3√3
Hence, the value is 3√3
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