find the values of angles in x,y,z
Answer:
x=91, y=91, z=39
Step-by-step explanation:
the angles add up to 180 so find the difference ex. 51+38=89, 180-89=91 so x is 91
please solve and verify your answer 6j+7=21−j2
Answer:
j=1.75
Step-by-step explanation:
6j=21-2j-7
6j=14-2j
6j+2j=14
8j=14
\(\frac{8j}{8} = \frac{14}{8}\)
j=1.75
PLEASE HELP SOLVE THIS PROBLEM!!?
Answer:
Yes, these two figures are similar because the ratios of corresponding sides are equal.
UR = ST = 2, RS = TU = 3
YV = WX = 4, VW = XY = 6
UR/RS = YV/VW
ST/TU = WX/XY
2 Points
What is the surface area of the cube below?
A. 96 units2
B. 64 units2
C. 80 units2
D. 120 units2
Answer:
A
Step-by-step explanation:
The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!
The surface area of the given cube is 96 square units, option A is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula to find the surface area of cube is 6s²
Where s is the side length of cube
s=4 from the given cube
Plug in the value of s in surface area formula
surface area = 6(4)²
=6×16
=96 square units
Hence, the surface area of the given cube is 96 square units, option A is correct.
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a small tech store sold half of its computers , only to have a shipment of 8 more computers come in . if the store now has 9 computers . how many did they start with ?
The store started with 2 computers.
How to start a tech store for selling computers?Assume that the store started with "x" number of computers.
According to the problem, the store sold half of its computers, which means it sold x/2 computers. After this, a shipment of 8 more computers came in. Therefore, the total number of computers in the store became:
x/2 + 8
It is given that the store now has 9 computers. So we can set up an equation as:
x/2 + 8 = 9
Solving for x, we get:
x/2 = 1
Multiplying both sides by 2, we get:
x = 2
Therefore, the store started with 2 computers.
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Question 37 1 pts Which of the following is a solution to the differential equation: t². d^2y/dt^2 - 6t dy,dt + 12 = 0
a.y=t² + 1 b.y=t³+2t^4
c.no solution d.y = t-1 Question 38 1 pts Newton's law of cooliing states that the rate of change of the temperature T of an object is proportional to the temperature difference between the temperature S of the surroundings and the temperature T. Write down the differential equation. A cup of tea is prepared from boiling water at 100 degrees and cools to 50 degrees in 3 minutes. The temperature in the room is 20 degrees. What will the tea temperature be after a very long time? a.dT/dt=k(S-T); T≈ 20 degrees after a very long time b.dt/dT =k(ST); T≈ 30 degrees after a very long time c.dt/dT =K(S-T); T≈ 0 degrees after a very long time d.dt/dT = K (S+T); T≈ 30 degrees after a very long time
Question 37: The following is a solution to the differential equation y = t - 1. d.
Question 38: The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.
To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.
By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.
Let's differentiate y = tⁿ with respect to t:
dy/dt = n × tⁿ⁻¹
d²y/dt² = n(n-1) × tⁿ⁻²
Substituting these derivatives into the differential equation:
t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0
Simplifying the equation:
n(n-1)tⁿ - 6ntⁿ + 12 = 0
n(n-1)tⁿ - 6ntⁿ = -12
Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.
We can equate the coefficients:
n(n-1) = 0
n = 0 or n = 1
The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.
According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.
We can write the differential equation as follows:
dT/dt = k(S - T)
dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.
The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.
We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.
This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.
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Someone answer asap please
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation: it crosses the x axis two times
PLEASE HELP I WILL MARK BRAINIST!!!!
An education budget went from $800,000 to $900,000. What is the approximate percent increase?
A.The approximate percent increase is 13%.
B.The approximate percent
increase is 89%.
C. The approximate percent increase is 98%.
D. The approximate percent increase is 113%.
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge.
Answer:
The approximate percent increase is 13%.
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
18,14,10,
Answer:
0.18 or 0.14 or 0.10
Step-by-step explanation:
A golf instructor claims that more than 70% of his students have improved their driving distance by at least 20 yards after viewing and applying the techniques described in his instructional video. If 138 out of 180 viewers say that their driving distance has improved by at least 20 yards, is the instructor's claim valid?
Identify the null and alternative hypotheses for this scenario.
Is the instructor's claim that "more than 70% of his students have improved their driving distance by at least 20 yards," valid?
According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.
Is the instructor claim valid?Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.
According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.
To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.
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No, the instructor's claim is NOT valid. See the explanation below.
The explanationTo test the hypothesis, we can use a z- test.
z = (p - p₀) / σ
Where
p is the sample proportion of students who have improved their driving distance by at least 20 yardsp₀ is the hypothesized proportion of students who would be expected to improve their driving distance by at least 20 yards if the instructor's claim was not validσ is the standard error of the sample proportionσ = √(p₀(1 - p₀) / n)
where:
p₀ is the hypothesized proportion of students who would be expected to improve their driving distance by at least 20 yards if the instructor's claim was not validn is the sample sizeSince p =138/180
= 0.7667.
p₀=0.7. The sample size is n=180.
z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)
= 1.95277604597
≈ 1.92
Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.
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Help plz due soon IDK what to do
how to find slope
its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry
(x1,y1) (x2,y2) - find two different points
y2-y1/x2-x2=slope of the line
or
to find it you can do the rise divided by the run
im sry if this doesnt help :(
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)
Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.
The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.
The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.
So, the slope is the ratio of "rise" to "run":
m = rise/run = slope = -2/3
Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax
Answer:
$15,937.50
Step-by-step explanation:
15000 × 1.0625 = 15937.5
Brianna spent $15.00fot 6 two-litter sodas for a football game this weekend. What is the number of soda bottles that could be bought for $55.00
Answer:
22
Step-by-step explanation:
1. Divide $15 by 6 first to get the unit price per bottle.
$15/6= $2.50
2. Now divide the new dollar amount by the unit price.
$55.00/2.50 = 22
!!Will mark Brainliest!! The points in the table lie on a line. What is the slope of the line?
Answer:
-7/6
Step-by-step explanation:
Find (f g)(x). if f(x)=square root of 16x⁴ and g(x)=3x²-3x-5
The value of (f g)(x) is calculated and found as \(\sqrt{16(3x^2-3x-5)^4}\\\).
To find (f g)(x), we need to substitute the expression for g(x) into the function f. This gives us
f(g(x)) = \(\sqrt{16(3x^2-3x-5)^4}\)
The expression inside the square root is the result of substituting 3x^2-3x-5 into g(x), and the exponent of 4 indicates that this result should be raised to the fourth power.
Therefore,
f(g(x)) = \(\sqrt{16(3x^2-3x-5)^4}\)
To find (f g)(x), we use the definition of function composition, which states that (f g)(x) is equal to f(g(x)). This means that we need to substitute the expression for g(x) into the function f, and then evaluate the resulting expression.
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What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
The equation of this graphed line is equal to y = -9x/8 + 7.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 7)/(8 - 0)
Slope (m) = -9/8
At data point (0, 7) and a slope of -9/8, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 7 = -9/8(x - 0)
y - 7 = -9x/8
y = -9x/8 + 7
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Solve the inequality 4x - 6 > 6x - 20.
Ox>7
0x<7
0x<2
Ox> 2
Answer:
7>0x
0x<7
Step-by-step explanation:
4x-6>6x-20
-6>2x-20
14>2x
7>x
Heloïse considered two types of printers for her office. Each printer needs some time to warm up before it starts printing at a constant rate. The first printer takes 303030 seconds to warm up, and then it prints 111 page per second. The printing duration (in seconds) of the second printer as a function of the number of pages is given by the following table of values: \text{Pages}Pagesstart text, P, a, g, e, s, end text \text{Duration}Durationstart text, D, u, r, a, t, i, o, n, end text (seconds) 161616 404040 323232 606060 484848 808080 Which printer takes more time to warm up? Choose 1 answer: Choose 1 answer: (Choice A) A The first printer (Choice B) B The second printer (Choice C) C They both take the same time to warm up Which printer prints more pages in 100100100 seconds? Choose 1 answer: Choose 1 answer: (Choice A) A The first printer (Choice B) B The second printer (Choice C) C They both print the same number of pages in 100100100 seconds
The first printer takes more time to warm up.
Insufficient information to determine which printer prints more pages in 100 seconds.
The first printer takes more time to warm up because it requires 30 seconds to reach its optimal printing state, while the second printer does not have a warm-up time specified in the given information.
The number of pages printed by each printer in 100 seconds is not provided in the given information. Therefore, it is not possible to determine which printer prints more pages in that time frame. More data or specific values are needed to make a comparison between the two printers in terms of their printing speed.
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Differential Equation
Consider the system of differential equations
dxdt=?5ydydt=?5x.
Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for xfrom the first equation.
Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=4 and y(0)=1, what are x and y?
The general solution of this differential equation is y(t) = c1 cos(5t) + c2 sin(5t), where c1 and c2 are constants determined by the initial conditions.
Differentiating the second equation with respect to t, we get: d^2y/dt^2 = -5 dx/dt, Substituting dx/dt from the first equation, we get: d^2y/dt^2 = -5(-5y) = 25y.
This is a second order differential equation in y. The general solution of this differential equation is y(t) = c1 cos(5t) + c2 sin(5t), where c1 and c2 are constants determined by the initial conditions.
To find x as a function of t, we can substitute y(t) into the first equation and solve for x: dx/dt = -5y = -5(c1 cos(5t) + c2 sin(5t)) , Integrating both sides with respect to t, we get: x(t) = -c1 sin(5t) + c2 cos(5t) + k
where k is a constant of integration. Using the initial conditions x(0) = 4 and y(0) = 1, we can solve for the constants c1, c2, and k: x(0) = -c1 sin(0) + c2 cos(0) + k = c2 + k = 4, y(0) = c1 cos(0) + c2 sin(0) = c1 = 1
Substituting c1 = 1 and c2 + k = 4 into the equation for x, we get:
x(t) = -sin(5t) + 4
So the solution to the system of differential equations with initial conditions x(0) = 4 and y(0) = 1 is x(t) = -sin(5t) + 4 and y(t) = cos(5t).
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The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.
Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.
True
Determine the truth value of each of the following complex statements.
Circle your answer or put it in red. (NOTE: LET A, B, C BE TRUE AND X, Y, Z BE FALSE)
3. B. Z 4. Xv-Y
5. CvZ 6. B-Z 7. (A v B)Z 8. (AZ) 9. B v (Y - A) 10. A) -(Z v-Y) 11.( AY) v (-Z.C) 12. -X v-B) (~Y v A) 13. (Y » C)-(B3-X) 14.(C =~A) v (Y = Z) 15.-(AC)(-XB) 16.( AY). (-Z.C) 17.-[( AZ) = (-C •-X)] 18. ~~[( AZ) = (-C •-X)] 19.-(A.-Z) v (Y = Z) 20. A. A
The truth values for the given complex statements are:
3. False
4. False
5. False
6. True
7. False
8. Undefined
9. True
10. True
11. True
12. False
13. True
14. True
15. True
16. False
17. True
18. False
19. True
20. False
To determine the truth value of each complex statement, we'll use the given truth values:
A = True
B = True
C = True
X = False
Y = False
Z = False
Let's evaluate each statement:
3. B • Z
B = True, Z = False
Truth value = True • False = False
4. X V Y
X = False, Y = False
Truth value = False V False = False
5. ~C v Z
C = True, Z = False
Truth value = ~True v False = False v False = False
6. B - Z
B = True, Z = False
Truth value = True - False = True
7. (A v B) Z
A = True, B = True, Z = False
Truth value = (True v True) • False = True • False = False
8. ~(THIS)
"THIS" is not defined, so we cannot determine its truth value.
9. B v (Y • A)
B = True, Y = False, A = True
Truth value = True v (False • True) = True v False = True
10. A • (Z v ~Y)
A = True, Z = False, Y = False
Truth value = True • (False v ~False) = True • (False v True) = True • True = True
11. (A • Y) v (~Z • C)
A = True, Y = False, Z = False, C = True
Truth value = (True • False) v (~False • True) = False v True = True
12. (X v ~B) • (~Y v A)
X = False, B = True, Y = False, A = True
Truth value = (False v ~True) • (~False v True) = False • True = False
13. (Y • C) ~ (B • ~X)
Y = False, C = True, B = True, X = False
Truth value = (False • True) ~ (True • ~False) = False ~ True = True
14. (C • A) v (Y = Z)
C = True, A = True, Y = False, Z = False
Truth value = (True • True) v (False = False) = True v True = True
15. (A • C) (~X • B)
A = True, C = True, X = False, B = True
Truth value = (True • True) (~False • True) = True • True = True
16. (A • Y) (~Z • C)
A = True, Y = False, Z = False, C = True
Truth value = (True • False) (~False • True) = False • True = False
17. ~[(A • Z) (~C • ~X)]
A = True, Z = False, C = True, X = False
Truth value = ~(True • False) (~True • ~False) = ~False • True = True
18. [(A • Z) (~C • ~X)]
A = True, Z = False, C = True, X = False
Truth value = (True • False) (~True • ~False) = False • True = False
19. (A • Z) v (Y = Z)
A = True, Z = False, Y = False
Truth value = (True • False) v (False = False) = False v True = True
20. A • ~A
A = True
Truth value = True • ~True = True • False = False
Therefore, the truth values for the given complex statements are:
3. False
4. False
5. False
6. True
7. False
8. Undefined
9. True
10. True
11. True
12. False
13. True
14. True
15. True
16. False
17. True
18. False
19. True
20. False
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f(x)=2x^-6 Find f(7)
Answer: 1/58824.5
Step-by-step explanation: 2x7^-6
2x1/117649
=1/58824.5
Simplify (x-5)-(x-1)
Answer:
-4
Step-by-step explanation:
→Distribute the -1 to (x - 1):
(x - 5) - (x - 1)
x - 5 - x + 1
→Add like terms (x and -x, -5 and 1):
-4
Answer:
-4
Step-by-step explanation:
(x-5)-(x-1)
x-5-x+1
x-x-5+1 = -4
find the value of x
Answer:
Im not sure what im solving here so can you tell me what?
Step-by-step explanation: Some of them already have and X meaning
someone pls help me answer this question!!!! look through the directions and give a thorough explanation. thank you!
The sailboat and the medical aid should meet at the points
(0, 7) and (5, 12).
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
The intersection point between the two graphs y = - x² + 6x + 7 and y = x + 7 is the point where they meet each other.
Now, For the equation y = - x² + 6x + 7,
When x = 0, y = 7 ⇒ (0, 7).
when x = 1, y = 12 ⇒ (1, 12).
Now for y = x + 7,
when x = 1, y = 8 ⇒ (1, 8).
when x = 2, y =9 ⇒ (2, 9).
Now by taking the graph paper with each box of 1 square unit will plot these points and we obtain that at (0, 7) and (5, 12) these graphs intersect each other.
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Spearmans rank order correlation coefficient may assume a value from -1 to +1 true or false
The given statement, "Spearman's rank order correlation coefficient may assume a value from -1 to +1" is true.
Spearman's rank-order correlation coefficient is a statistical metric that is used to determine the degree and direction of a link between two variables. The coefficient can have a value ranging from -1 to +1, with -1 being a fully negative correlation, 0 representing no connection, and +1 representing a perfectly positive correlation. A -1 correlation indicates that when one variable grows, the other variable declines, whereas a +1 correlation indicates that as one variable increases, the other variable increases as well.
A correlation value of 0 shows that the two variables have no linear relationship. The coefficient is calculated by ranking the values of each variable and then calculating the differences between the ranks for each observation, and then applying a formula to calculate the coefficient.
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Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the predicted fuel efficiency for a speed of 30 mph?
17. 67 mpg
26. 50 mpg
30. 00 mpg
37. 74 mpg
The predicted fuel efficiency for a speed of 30 mph will be 26.50 mpg when the least-squares regression line is given.
What is the least-squares regression line?If the data demonstrates a stronger link between two variables, the line that best matches this linear relationship is known as a least-squares regression line, and it minimizes the vertical distance between the data points and the regression line. A regression line is a straight line that illustrates how a response variable y varies when an explanatory variable x changes. The line is a mathematical model that predicts the value of y given a value of x. A regression line predicts the value of y for a given value of x. A regression line is discovered through regression analysis. When the explanatory variable changes, the regression line shows how much and in which direction the response variable changes.
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HELP NOW I NEED IT AND IS DUE TODAY