Answer:
x = 43.5°
Step-by-step explanation:
The sum of the angles around a point = 360°
sum the angles and equate to 360
x + x + 72 + 111 + 90= 360
2x + 273° = 360° ( subtract 273° from both sides )
2x = 87° ( divide both sides by 2 )
x = 43.5°
Answer:
Sum of the angles around a given point is 360°.
\(x + x + 72 + 90 + 111 =360 \\ 2x + 273 = 360 \\2x = 360 - 273 \\ 2x = 87 \\ x = \frac{87}{2} \\ \boxed{x = 43.5°}✓\)
★ x=43.5° is the right answer.¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?
Answer:
How long will it take to hear the rumbling of a volcano located 58km away?
Step-by-step explanation:
the radius of the area of a cylinder is 36m and it’s height is 46m. find the surface area of the cylinder in terms of
Surface area of the cylinder in terms of \($\pi$\) is \($5904\pi m^2$\).
How to find the surface area of the cylinder?The surface area of a cylinder can be calculated by adding the area of the two bases (which are circles) and the lateral area (which is the area of the curved surface).
The radius of the cylinder is given as 36m and the height as 46m. Therefore, the diameter of the cylinder is 72m (twice the radius). Using the formula for the area of a circle, we can calculate the area of each base:
\($A_{base} = \pi r^2 = \pi (36m)^2 = 1296\pi m^2$\)
The lateral area of the cylinder can be calculated using the formula:
\($A_{lateral} = 2\pi r h$\)
Substituting the given values, we get:
\($A_{lateral} = 2\pi (36m) (46m) = 3312\pi m^2$\)
Therefore, the total surface area of the cylinder is:
\($A_{total} = A_{base} + A_{lateral} + A_{base} = 2A_{base} + A_{lateral}$\)
Substituting the values we calculated, we get:
\($A_{total} = 2(1296\pi m^2) + 3312\pi m^2 = 5904\pi m^2$\)
So the surface area of the cylinder in terms of \($\pi$\) is \($5904\pi m^2$\).
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Use the box method to distribute and simplify (-6x+5)(-6x-6).(−6x+5)(−6x−6). Drag and drop the terms to the correct locations of the table.
The simplification of the given equation is -36x² - 66x - 30
What is equation?
Equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that,
The equation is (-6x-5)(-6x+6).
The calculation is as follows:
(-6x-5) x(-6x+6)
36x² -36x- 30x - 30
=-36x² - 66x - 30
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Complete the inequality for this graph.
y ≤ [?]
Answer:
Step-by-step explanation:
Does someone mind helping me with this problem? Thank you!
Answer:
6 and 4
Step-by-step explanation:
the first number is x and the second is y , then triple x is 3x , so
3x + y = 22 → (1)
the second number y is equal to twice x , less 8 , that is 2x - 8 , so
y = 2x - 8 → (2)
solving the 2 equations simultaneously.
substitute y = 2x - 8 into (1)
3x + 2x - 8 = 22
5x - 8 = 22 ( add 8 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
substitute x = 6 into (2) for y
y = 2(6) - 8 = 12 - 8 = 4
first number is 6 and second number is 4
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?
Answer:
No solution is possible from the information provided
Step-by-step explanation:
When you post a question that starts with "which graph"
it's necessary to include the graphs
Answer:
The answer is Graph A.
Step-by-step explanation:
what is the square root of 96
Answer:
9.79795897113
Step-by-step explanation:
hope this helps
Answer:9.7
Step-by-step explanation:
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help pleaseeeeeeeeeeeeeeeeeeeeeee. I need a serious ans(ᗒᗩᗕ).
1 ) x²-1
x³+4
2) 2x 4/3
3) now try these all
How do I find the discriminant of a quadratic equation?
The discriminant is the bit under the radical, the \(b^2-4ac\).
Because it's under a radical, it's what tells you how many and what kind of solutions you have (two real, one real, or two imaginary/complex solutions).
Does that answer your question? Or do you need an example?
Suppose you had the equation \(3x^2-7x+1 = 0\), then you'd have:
\(a=3\), \(b=-7,\) and \(c=1\)
You'd plug those values into \(b^2-4ac\) to see if the discriminant was positive, zero, or negative:
\(\begin{aligned}b^2-4ac &= (-7)^2-4(3)(1) \\&= 49 - 12 \\&= 37\endaligned}\)
Since that is 37 (a postiive number), you'd have two real solutions.
. Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexico, he had 100 pesos left. 7a. Complete the ratio American dollars Mexican Pesos 270 3,00 0 100 7b. How much will he receive when he exchanges these pesos for dollars
He will receive $10 when he exchanges the 100 pesos back to American dollars.
7a. The ratio of American dollars to Mexican Pesos is given as; American dollars:
Mexican Pesos = 270:3000 or 270/3000:7
b. Let the rate of exchange be $1 = 10 Mexican Pesos
Levant traded 270 American dollars for 3,000 Mexican pesos.
Therefore, the exchange rate he got was; Exchange rate = 3000/270 = 11.
11So he got 11.11 Mexican Pesos for each American dollar he exchanged.
Now, he has 100 pesos left to exchange to dollars.
Using the exchange rate of $1 = 10 Mexican Pesos;100 pesos = 100/10 = $10
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someone please help me
1) Write an expression for this phrase, then evaluate it:
Seven plus the sum of five and three tenths and two and two tenths
Answer:
7+(5 3/10+ 2 2/10) = 12 5/10
The mathematical expression will be;
⇒ 7 + (5 3/10 + 2 2/10)
⇒ 145/10
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''Seven plus the sum of five and three tenths and two and two tenths.''
Now,
Since, The algebraic expression is,
''Seven plus the sum of five and three tenths and two and two tenths.''
Hence, We can formulate;
The mathematical expression as;
⇒ 7 + (5 3/10 + 2 2/10)
⇒ 7 + (53/10 + 22/10)
⇒ 7 + (75/10)
⇒ (70 + 75) / 10
⇒ 145/10
Thus, The value of the expression is,
⇒ 145/10
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The estimate on an explanatory variable is not statistically significant at the 5%-level if the t-statistic is greater than 2.5. the p-value is less than 0.05. the 95% confidence interval does not contain zero. the 95% confidence interval contains zero.
The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.
The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.
The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.
The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.
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______is there a commutative property of subtraction for rational numbers
No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.
The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.
Let's consider an example to demonstrate this:
Take the rational numbers 3/4 and 1/2.
If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)
= -1/4.
If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)
= 1/4.
As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.
The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.
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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.
Explanation:In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.
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If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply. –4 < –3 The inequality changes from greater than to less than because -4 is less than -3. –4 > –3 The greater than inequality holds true even when the opposites of 4 and 3 are used. –4 = –3.
The statement which holds true between -4 and -3 is; -4 < –3 The inequality changes from greater than to less than because -4 is less than -3.
Number lineThe given inequality according to the task content is;
4 > 3.On this note, when a negative sign is attached to each side of the inequality; it follows that;
The inequality sign is reversed and the inequality takes the form; -4 < -3.Read more on inequalities;
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Answer:
A and B are the answers
Step-by-step explanation:
If 4 > 3 then - 4 < -3 is true because when additive opposites of numbers are used inequality gets reversed.
I need help wit this problem
Answer: -19.35
Step-by-step explanation:
The average, or mean, D, of three exam grades, x, r, and v, is given by the
following formula.
X+r+V
D
3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your
grades are 85% and 86%: x=85 and r= 86. What must you get on the third exam
to have an average of 90%?
(a) The formula is v= 3D-x-r.
(b) The answer is.
Answer:
v = 3D - x - r
99%
Step-by-step explanation:
D = (x + r + v)/3
x + r + v = 3D
v = 3D - x - r
(b) When x = 85, r = 86 and D = 90%:
v = 3*90 -85 - 86
= 270 - 171
= 99.
someone help me pls :))
Answer:
x = 16
Step-by-step explanation:
What’s the value of the digit 9 is 346.9?
Answer:
The value of the digit 9 in 346.9 is in the tenths place
Step-by-step explanation:
The 3 is in the Hundreds place. The 4 is in the Tens place. The 6 is in the Ones place. The 9 is in the Tenths place
which conversion factors are used to multiply to 18 cm/s to get meters per minute? select each correct answer.
The conversion factor to convert cm/s to m/min is 3 / 5, it is gained by applying the knowledge of conversion of units to the given problem.
What do you mean by conversion of units?
Conversion of units deals with the method of converting a set of values given in a unit to another unit without changing its numerical value. Conversion can take place in both ways, from lower to higher units and vice-versa.
Calculation of the conversion factor to convert cm/s to m/min
We know that,
1 m = 100 cm
1 min = 60 s
To convert cm/s to m/min, we have
= 18 / (100 / 60)
= (18 × 3) / 5
= 54 / 5
= 10.8 m/min
Hence, the conversion factor used to convert cm/s to m/min is 3 / 5.
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the answer is A because to be honest im writing this so it will show me the right naswer but it should be A
What is the slope of the line ?
Answer:
1/2
Step-by-step explanation:
You need to start at any point on the line. Then, you count up one point. Next you count over to the right as many times as you need to get to the line. Since that number will be 2, the answer becomes 1/2.
I need to show work to find the volume for this
Answer and Step-by-step explanation:
Hello!
To find the volume of a rectangular prism, you have to multiply the base by the width, the by the height.
The base is 5.5 ft.
The width is 2.5 ft.
The height is 3.5 ft.
So, simply just multiply all three of these numbers together.
5.5 × 2.5 = 13.75
13.75 × 3.5 = 48.125
The volume of the rectangular prism is \(48.125 ft^{3}\).
#teamtrees #PAW (Plant And Water)
\(x + \frac{14}{x} = -9\) show work
The solutions of the equation x+14/x = -9 is x=-2 and x=-7.
The given equation is x+14/x = -9.
Multiply both sides by x:
x( x+14/x) = -9x.
x² +14/x(x) =-9x
x² +14=9x
Now take all the terms to one side by subtracting 9x from both sides:
x² +9x+14=-9x+9x
x² +9x+14=0
The given equation is in the form of quadratic equation ax² +bx+c=0.
We can factor out this quadratic equation.
x² +7x+2x+14=0
Factor out the greatest common factors.
x(x+7)+2(x+7)=0
(x+2)(x+7)=0
Now have to equate each factor to zero:
x+2=0 so x=-2
x+7=0, so x=-7
Hence, the solutions of the equation x+14/x = -9 is x=-2 and x=-7
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Describe how a drywaller might use a formula to estimate the
number of sheets of drywall needed for a room.
Answer:
Square footage
Step-by-step explanation:
Based on the above line graph, which of the following statements is true?
Answer:
Step-by-step explanation:
What are the statements and i promise ill give answer
An inventory study determines that, on average, demands for a particular item at a warehouse are made 5 times per day. What is the probability that on a given day this item is requested (a) more than 5 times? (b) not at all?.
(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability.
(b) To find the probability that the item is not requested at all on a given day, we would need to know the probability distribution of the demand for the item. Without that information, it is not possible to calculate this probability.
Item Demand Probabilities(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. This is because the average demand of 5 times per day does not provide enough information to determine the likelihood of the demand exceeding 5 times. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.
(b) To find the probability that the item is not requested at all on a given day, we would also need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. The average demand of 5 times per day does not provide enough information to determine the likelihood of the demand being zero. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.
It's important to note that if the demand follows a Poisson distribution, you can use the expected value (λ = 5) to calculate the probability of the demand being zero (P(X = 0) = e^(-λ)).
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Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
X is normally distributed with mean 50 and stan- dard deviation 8. What value of X is such that only 8% of values are below it
The value of X is normally distributed such that only 8% of values are below it is approximately 38.76.
To find the value of X such that only 8% of values are below it, we need to find the z-score associated with the 8th percentile and then convert it back to the X value using the mean and standard deviation.
Step 1: Find the z-score associated with the 8th percentile.
Using a standard normal distribution table or calculator, we find that the z-score associated with the 8th percentile is approximately -1.4051.
Step 2: Convert the z-score back to the X value.
We can use the formula for z-score:
z = (X - mean) / standard deviation
Rearranging the formula to solve for X, we have:
X = z * standard deviation + mean
Plugging in the values:
X = -1.4051 * 8 + 50
X ≈ 38.76
Therefore, the value of X such that only 8% of values are below it is approximately 38.76.
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30. Coral reefs can be found in water whose typical temperatures
range from 16°C to 34°C. Describe this range of temperatures in
degrees Fahrenheit.
The range of the temperature will be 60.8 and 93.2°F
How to convert Celcius to Fahrenheit?It should be noted that in order to convert from Celcius to Fahrenheit, one has to multiply by 1.8 and add 32.
This will be:
16°C = (16 × 1.8) + 32 = 60.8°F
34°C = (34 × 1.8) + 32 = 93.2°F
Therefore, the range will be 60.8 and 93.2°F
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The radius of a circle is 11 yards. What is the circle's circumference?
Answer:
69.12 yards
Step-by-step explanation:
Circumference=2 x π x r
Circumference = 2 x pi x 11 = 69.11504yd
Which correctly lists three characteristics that are used to describe air?
altitude, density, radiation
density, radiation, mass
mass, pressure, density
pressure, altitude, radiation
Answer:
mass, pressure, density is the right answer
Step-by-step explanation:
The three main characteristics that can be used to describe air are: C. mass, pressure, density.
What Characteristics can be Used to Describe Air?Altitude deals with elevation of an object.
Radiation relates to transmission of energy through a medium in form of waves.
Air has mass, pressure, and density.
Therefore, the three main characteristics that can be used to describe air are: C. mass, pressure, density.
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