Answer:
93.331 ft
Step-by-step explanation:
Use the trigonometric function sine (opposite/hypotenuse)
sin(59) = 80
1 x
You can switch x and sin(59)
x = 80
sin(59)
Plug into calculator
x = 93.331 ft
THIS IS FOR ALL THE BACON Sandra buys 70 pencils with fuzzy tops. She gives 4 to each of her 15 classmates.
The expression for the number of pencils she has left is 70 – (4 • 15) .
Answer each question to identify the parts of the expression.
1. In this expression, what does 70 represent?
Write your answer in the space below.
2. What does (4 • 15) represent?
Write your answer in the space below.
Answer:
1) pencils
2)60
Step-by-step explanation:
So pencils are 70 which is the first sentence.
4*15 is 4x15 or 4x3x5 which is 60
Hope this helpz plz hit the crown :D
Hi help please this is due today please help ASAP
Answer:
Step-by-step explanation:
Determine whether y=(0.5)^x+8 represents an exponential function.
Yes
No
The sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the base is 0.5 and the expοnent is x. Y is an expοnential functiοn as a result.
What is functiοn?All οf the subjects, including real and fictitiοus lοcatiοns as well as arithmetic variable design, will be cοvered in the midterm exam questiοns. a schematic illustrating the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.
Here,
Because the function
=> y=(0.5)ˣ+8
can be written in the form y=a(b)ˣ,
where a=8 and b=0.5, it does, in fact, indicate an exponential function.
An exponential function has a constant basis and a variable in the exponent.
In this instance, the base is 0.5 and the exponent is x. Y is an exponential function as a result.
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Complete question:
Determine whether y=(0.5)ˣ+8 represents an exponential function.
If Yes, Explain why.
If No, Explain why not.
Multiply (8 x 10^5) x ( 7 x 10^6)
Answer:
Scientific Notation: 5.6 x 10^12
Expanded Form: 5600000000000
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
5.6 x 10^12
I hope this helps.
if you could, feel free to mark me Brainliest it would be much appreciated :D
Answer:
5600000000000
Step-by-step explanation:
(8x10^5)x(7x10^6)
Work the brackets first-
* 8x10^5=8x100000=800000
* 7x10^6=7x1000000=7000000
Complete the operation-
800000x7000000=5600000000000
Note-
10^5=10x10x10x10x10=100000
Which expression is equivalent to −30+(−40)+(−70) ?
−(30−40)+(−70)
negative open parenthesis 30 minus 40 close parenthesis plus open parenthesis negative 70 close parenthesis
30 + 40 + 70
30 + 40 + 70
−30+(−70)+(−40)
negative 30 plus open parenthesis negative 70 close parenthesis plus open parenthesis negative 40 close parenthesis
−30−(40−70)
The answer choice which correctly represents an equivalent expression to that which is given as in the task content is; −30 + (−70) + (−40).
Which expression is equivalent to that which is as given in the task content?It follows from the task content that the expression whose equivalent is to be determined is; −30 + (−40) + (−70).
Therefore, since it follows from the associative property of addition that;
a + b + c = a + c + b.
Therefore, same can be said for the expression as given in the task content where;
-30 + (-40) + (-70) = -30 + (-70) + (-40).
Ultimately, the required equivalent expression is; −30+(−70)+(−40); negative 30 plus open parenthesis negative 70 close parenthesis plus open parenthesis negative 40 close parenthesis
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Given −14.160 ÷ −0.48, find the quotient.
6.767
13.68
29.50
−2.95
Answer:
D. -29.5
Step-by-step explanation:
−14.160÷−0.48
Expand -14.16 over -0.48 by multiplying both numerator and the denominator by 100.
-1416 / -48
and lastly reduce the fraction -1416 / -48 to lowest terms by extracting and canceling out -24 to get 592/2 and
59/2 = 29 1/2 = 29.5
What is the average rate of change of f(x) from x| = -4 to x2 = -2? Please write your answer as an integer or simplified fraction.
f(x) = 2x + 9
To find the average rate of change of \(\(f(x)\) from \(x_1 = -4\) to \(x_2 = -2\)\) , we need to calculate the difference in function values and divide it by the difference in x-values.
Given that \(\(f(x) = 2x + 9\)\), let's calculate the average rate of change:
Average rate of change = \(\(\frac{f(x_2) - f(x_1)}{x_2 - x_1}\)\)
Substituting the given values:
Average rate of change = \(\(\frac{f(-2) - f(-4)}{-2 - (-4)}\)\)
Evaluate the function at the given x-values:
\(\(f(-2) = 2(-2) + 9 = 5\)\)
\(\(f(-4) = 2(-4) + 9 = 1\)\)
Substitute the function values into the formula:
Average rate of change = \(\(\frac{5 - 1}{-2 - (-4)}\)\)
Simplifying:
Average rate of change = \(\(\frac{4}{-2 + 4} = \frac{4}{2} = 2\)\)
Therefore, the average rate of change of \(\(f(x)\)\) from \(\(x_1 = -4\) to \(x_2 = -2\) is 2.\)
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Solve the equation AB=BCAB=BC for AA, assuming that A,BA,B and CC are square matrices and BB is invertible.
The equation AB=BC for \(A=BCB^{-1}\).
The solution of AB = BC for A, assuming that A,B and C are square matrices and B is invertible is
We have to solve the equation
AB = BC given that these all are square matrices and B is invertible.
Write the required Equation:
AB = BCMultiply both sides by inverse of B
The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.
Since the outcome of multiplying a matrix by an identity matrix is always the same original non-identity (non-unit) matrix, as was previously stated, the identity matrix is also known as a "unit matrix."⇒\(ABB^{-1} =BCB^{-1}\)
⇒\(AI=BCB^{-1}\)
⇒\(A=BCB^{-1}\)
Therefore, the solution of AB = BC is \(A=BCB^{-1}\).
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what does the cli option on the model statement of an mlr analysis in proc glm do? question 1select one: a. produce prediction intervals for the slope parameters. b. produce confidence intervals for the mean response at all predictor combinations in the dataset. c. produce confidence intervals for the slope parameters. d. produce prediction intervals for a future response at all predictor combinations in the dataset.
The CLI option on the MODEL statement of an MLR analysis in PROC GLM produces confidence intervals for the mean response at all predictor combinations in the dataset. b
The CLI option stands for "Confidence Level of Intervals," and it specifies the level of confidence for the confidence intervals produced.
By default, the CLI option is set to 0.95, which means that the confidence intervals produced will have a 95% level of confidence.
These confidence intervals provide a range of values within which the true mean response at a particular combination of predictor values is expected to fall with a specified level of confidence.
They can be useful for assessing the uncertainty associated with the estimated mean response at different combinations of predictor values and for making inferences about the relationships between predictors and the response variable.
The CLI option, which stands for "Confidence Level of Intervals," defines the degree of confidence in the confidence intervals that are generated.
The CLI option's default value of 0.95 designates a 95% degree of confidence for the confidence intervals that are generated.
With a given degree of confidence, these confidence intervals show the range of values within which the real mean response for a specific set of predictor values is anticipated to fall.
They can be helpful for determining the degree of uncertainty surrounding the predicted mean response for various combinations of predictor values and for drawing conclusions on the connections between predictors and the response variable.
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in april, 68 students performed in the spring play and 54 students performed in the spring concert. there were 16 students who performed in both events. which is the probability of randomly selecting a student who performed in the spring play, but did not perform in the spring concert
The Probability that a randomly selected student who performed in the spring play, but did not perform in the spring concert is chosen is 26/53.
Now let A be the event of the student performing in Spring play
Let B be the event of students performing i the spring concert
Now according to what we know,
n(A) = 68
n(B) = 54
n(A ∩ B) = 16
Now total no. of students will be n(A U B) = 68 + 54 - 16
= 106
We need to find the number of people who performed in the spring play and not in the concert
Hence we need to find the Probability
P(A ∩ not B)
Now we can say that (A ∩ not B) will clearly be
A - (A ∩ B) Hence we get it to be
68 - 16 = 52
Hence, P(A ∩ notB) = 52/106
= 26/53
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Dried cranberries cost £9.20 per kilogram. Calculate the cost of 650g of dried cranberries
Answer:
£5.98
Step-by-step explanation:
Using the conversion
1 Kg = 1000g, then
650g = 650 ÷ 1000 = 0.65 Kg
Thus the cost of 650g = 0.65 × £9.20 = £5.98
Can someone help pls ? Thanks
Answer:
13
Step-by-step explanation:
Prime numbers are only divisible by 1 or themselves.
No other factors
A lecture hall has 200 seats with folding arm tablets, 30 of which are designed for left-handers. The typical size of classes that meet there is 188, and we can assume that about 13% of students are left-handed. What's the probability that a right-handed student in one of these classes is forced to use a lefty arm tablet?
The probability that a student is left-handed is 13%, so the probability that a student is right-handed is 87%.
Out of 200 seats, 30 are designed for left-handers. Therefore, the number of seats designed for right-handers is 200 - 30 = 170.
If a class has 188 students, and 13% of them are left-handed, then the number of left-handed students is 188 * 0.13 = 24.44, which we can round up to 25.
This means that the number of right-handed students in the class is 188 - 25 = 163.
The probability that a right-handed student is forced to use a lefty arm tablet is equal to the probability that there are no more right-handed seats available when they arrive.
The probability that the first student who arrives is right-handed and gets a right-handed seat is 170/200 = 0.85.
If a right-handed student takes a right-handed seat, then there are 169 right-handed seats left out of 199 total seats remaining.
The probability that the second student who arrives is also right-handed and gets a right-handed seat is 169/199.
Continuing in this way, the probability that all 163 right-handed students get right-handed seats is:
(170/200) * (169/199) * (168/198) * ... * (8/38) * (7/37) * (6/36)
The probability that at least one right-handed student is forced to use a lefty arm tablet is equal to 1 minus the probability that all 163 right-handed students get right-handed seats:
1 - [(170/200) * (169/199) * (168/198) * ... * (8/38) * (7/37) * (6/36)]
Using a calculator, we find that this probability is approximately 0.358 or 35.8%.
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Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is
translated 1 unit right and 3 units up, what are the coordinates of A?
This is Right answer....
Will give brainliest
No need to give explanation.
No links!!
The system of equations has
Answer:
One Solutions I think
Step-by-step explanation:
write the intercept form for each. X Y 0 6 1 10 2 14slope M=y-intercept=b=slope-intercept form
Given the set of values, you have to determine the y-intercept, slope, and the equation that corresponds to de relationship on the table.
The slope-intercept form is
\(y=mx+b\)Where
m represents the slope
b represents the y-intercept (is the y-coordinate of the point corresponding to the y-intercept)
The y-intercept of any function in the coordinate system is the point where the line intercepts the y-axis, at this point the x-coordinate is equal to zero. You can determine this value directly from the table, the ordered pair (0,6) corresponds to the y-intercept coordinates.
So "b = 6"
To determine the slope of the line, m, you need to use two points of the line and the following formula:
\(m=\frac{y_1-y_2}{x_1-x_2}\)Where
(x₁,y₁) are the coordinates of one point on the line
(x₂,y₂) are the coordinates of a second point on the line
You can use any two points of the line to calculate the slope, I will use (2,14) and (1,10)
\(\begin{gathered} m=\frac{14-10}{2-1} \\ m=\frac{4}{1} \\ m=4 \end{gathered}\)The slope of the line is m=4
Finally, you have to replace the values of the slope and y-intercept in the formula to determine the equation of the line in slope-intercept form:
\(y=mx+b\)For b=6 and m=4
\(y=4x+6\)please help with number 9!!!
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
geometry solve for x
Answer:
x = 74 degrees
Step-by-step explanation:
If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees
Consider the equation 3x−y+3=0.
Find the y-value of the y-intercept of the line
Answer: 3
Step-by-step explanation:
1: 3x-y+3=0
2: y=3x+3
y-intercept: (0,3) y value = 3
plug in and check: 3x-3+3=0 x=0
In an arithmetic sequence, the first term is $100$ and the fourth term is $76$. What is the value of the first term that is less than $0$
The value of the first term that is less than 0 is -4
The formula for the nth term of an arithmetic sequence is:
aₙ = a₁ + (n - 1)d
Where a₁ is the first term in the sequence, d is the common difference between terms, and n is the position of the term that we are trying to find.
If in an arithmetic sequence, the first term is 100 and the fourth term is 76, then the common difference is
aₙ = a₁ + (n - 1)d
76 = 100 + (4 - 1)d
76 = 100 + 3d
3d = 76 - 100
3d = -24
d = -8
Solve for aₙ that is less than 0.
aₙ = a₁ + (n - 1)d
aₙ = 100 + (n - 1)(-8) < 0
100 - 8n + 8 < 0
8n > 108
n > 13.5
a₁₄ = 100 + (14 - 1)(-8) = -4
Therefore, the value of the first term that is less than 0 is -4.
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Find the general solution of the equation.
sin x + sin x cos x = 0
Answer:
180°
Step-by-step explanation:
sin x + sin x cosx=0
sin x cos x=-sin x
cos x=-1
cos^-1 180=-1
x=180°
2. Multiply each coordinate by 3 in (4, 9).
We just multiply each part of the coordinate
\(\begin{gathered} 3\cdot(4,9)=(3\cdot4,3\cdot9) \\ =(12,27) \end{gathered}\)Answer: (12, 27)
considerastandard normal random variable z. what is the value ofzif the area to the right ofzis 0.2643?
To determine the value of the standard normal random variable z for which the area to the right of z is 0.2643, we can use the standard normal distribution table or a statistical software.
The value of z corresponding to an area to the right of z can be obtained by subtracting the given area from 1 since the area to the right is complementary to the area to the left. Therefore, the area to the left of z would be 1 - 0.2643 = 0.7357.
By referring to the standard normal distribution table or using a statistical software, we can find the z-value associated with an area of 0.7357. In this case, the z-value is approximately 0.611, indicating that the value of z for which the area to the right is 0.2643 is approximately 0.611.
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of the respondents, 519 replied that america is doing about the right amount. what is the 95 % confidence interval for the proportion of all american adults who feel that america is doing about the right amount to protect the environment.
The number of intervals that feel that America is doing about the right amount to protect the environment is 0.487, and 0.551 intervals
To find the number of adults who feel that America is doing about the right amount to protect the environment, we need to use the confidence interval proportion formula
CI = p ± Zα/2 * √(p * (1-p)/n
where:
p = sample proportion = 519/1000 = 0.519
n = sample size = 1000
Zα/2 = the critical value for the desired confidence level = 1.96
By substuting the values, we get:
CI = 0.519 ± 1.96 * √(0.519 * (1-0.519) / 1000)
= 0.519 ± 0.032
= (0.487, 0.551)
Therefore, (0.487, 0.551) interval feel that America is doing about the right amount to protect the environment.
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To develop an understanding of, and ability to calculate, molecular energy levels.
In diatomic molecules, there are two different ways that the molecule may move without its center of mass moving:
rotating around its center of mass and
vibrating as if the two atoms are connected by a spring.
Energy may be added to the molecule by increasing the speed of rotation or the amplitude of the vibrations. As you should expect from quantum mechanics, energy must be added to molecules in specific quantities. Two of the solutions of the Schrödinger equation that you may have seen before--the hydrogen atom and the harmonic oscillator--will be useful in the study of molecules.
In looking at the Schrödinger equation for hydrogen, you learned that one important aspect of hydrogen is that it has a spherically symetric potential (i.e., the potential energy of the electron in a hydrogen atom depends only on its distance from the nucleus). This gives rise to the following equation for the allowed values of L2:
L2=l(l+1)ℏ2(l=0,1,2,3…),
where L is the angular momentum. When we look at the rotation of diatomic molecules, we also have a spherically symmetric potential energy function, specifically U(r)=0. Since this is the case, we can use the same equation for the angular momentum states that we used with hydrogen.
Diatomic molecules can move through rotation and vibration. Quantum mechanics quantizes energy, and the Schrödinger equation provides solutions for studying molecular energy levels.
When examining molecular energy levels, diatomic molecules exhibit rotational and vibrational motions independent of their center of mass. In quantum mechanics, energy is quantized, meaning it can only be added or subtracted in specific discrete quantities.
The Schrödinger equation provides solutions for various quantum systems. Two solutions, the hydrogen atom and the harmonic oscillator, are particularly useful for studying molecules. The hydrogen atom has a spherically symmetric potential energy, which allows us to determine the allowed values of angular momentum (L) using the equation L^2 = l(l + 1)ℏ^2, where l represents different angular momentum states (l = 0, 1, 2, 3, ...).
Similarly, diatomic molecules have a spherically symmetric potential energy function U(r) = 0 for rotation. As a result, we can utilize the same equation for the allowed angular momentum states as in the case of the hydrogen atom, enabling us to analyze and understand the rotational energy levels of diatomic molecules.
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12=7+15x solve for x
Answer:
x = 1/3
Step-by-step explanation:
12=7+15x
12-7=15x
5=15x
5/15=x
Simplify
x = 1/3
Answer:x=1/3 or x=0.3 I hope this helpful mark me brainlist if correct
Step-by-step explanation:
12=7+15x
Move the variable to the left-hand side and change its sign
12-15x=7
Then move the constant to the right-hand side and change its sign
-15x=7-12
Calculate the difference
-15x=-5
Divide both sides of the equation by -15
x=1/3 or x=0.3
1-2 Write an equation for each situation.
1. A bookstore ordered boxes of pencils for resale. The cost of the pencils was
$2.25 per box, and the shipping cost of the order was $2.80.
Answer:
y = 2.25x + 2.80
Explanation:
$2.25 dollars per box.
$2.80 Shipping is always added.
Revani has 120 coins. Of the coins, 2/6 are nickels, 2/6 dimes, and the rest are
quarters. What is the ratio of Revani’s nickels to dimes to quarters?
Answer:
2:2:2
1:1:1
2 to 2 to 2
1 to 1 to 1
Step-by-step explanation:
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees. Which statement is true about the angles?
This question is incomplete because it lacks the appropriate options
Complete Question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Which statement is true about the angles?
a) Measure of angle A = 20 degrees
b) Measure of angle B = 60 degrees
c) Angle A and Angle B are complementary
d) Measure of angle A + measure of angle C = 100 degrees
Answer:
a) Measure of angle A = 20 degrees
Step-by-step explanation:
It is known that the sum of angles in a triangles = 180°
We are given these values in the question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Therefore,
Angle A + Angle B + Angle C = 180°
2x + 5x + 11x = 180°
18x = 180°
x = 180°/ 18
x = 10°
Finding each of the angles
Angle A = 2x = 2 × 10 = 20°
Angle B = 5x = 5 × 10 = 50°
Angle C = 11x = 11 × 10 = 110°
Therefore, the correct option is:
a) Measure of angle A = 20 degrees
The true statement is required.
The true statement is that \(m\angle A=10^{\circ}\)
\(\angle A=2x\)
\(\angle B=5x\)
\(\angle C=11x\)
The sum of the angles in a triangle is \(180^{\circ}\)
So
\(\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10\)
\(\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}\)
The true statement is that \(m\angle A=10^{\circ}\)
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litterally these are 6th grade question i am only ten years old WHY
Answer:
what is your question.
Step-by-step explanation: