Step-by-step explanation:
5) angle 5 = 69°
than, angle 10 = 69° ( alternate interior angle )
6) angle 6 = 115° ( alternate interior angle )
7) angle 7 = 118° ( alternate interior angle )
8) angle 11 = angle 4 - 180
→ 72 - 180 = 108°
therefore, angle 11 = 108°
9) angle 14 = 114° - 180
→ angle 14 = 66°
10) angle 12 = 86° ( alternate interior angle)
hope this answer helps you dear...take care!
Answer:
5. 69 degrees
6. 115 degrees
7. 118 degrees
8. 108 degrees
9. 66 degrees
10. 86 degrees
Step-by-step explanation:
Olumide plays the piano and guitar. For every 5 minutes of piano practice, he spends 8 minutes practicing guitar. How many minutes will Olumide practice piano if he spends 64 minutes practicing guitar?
Answer:
Step-by-step explanation:
Let's make a proportion:
5 min piano - 8 min gitar
X min piano - 64 min gitar
Olumide practice pian:
\(X=\frac{5 \cdot 64 }{8} = 40 min\)
Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z). Ex: if the input is: 3. 6 4. 5 2. 0 the output is: 12. 96 1. 841304610218211e11 4. 5 16. 2.
The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)
Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.
In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.
Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.
The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).
The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.
Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.
The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as
=> √(xyᵃ).
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PLS HELP WITH THIS I NEED A GOOD GRADE
Step-by-step explanation:
4.5 approximately is the answer.PLEASE HELPPP. What is the value of X? type the number TYPE ONLY THE NUMBER
Answer:
Value of X is 11
Step-by-step explanation:
hope it helps
due now!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is C
go along the x and in ue case it is going along the left which means the linear will be negative so thats x-2
and in cases like going downwards the y the linear value will also be negative so thats y-5
so its (x-2)(y-5)
the radius of a circular oil slick expands at a rate of 5 m/min. (a) how fast is the area of the oil slick increasing when the radius is 20 m? (b) if the radius is 0 at time , how fast is the area increasing after 5 mins?
If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
Find the equation of the line perpendicular to -3x + y = 2 containing the point (9,4). Write the equation in standard form.
Answer:
Here
Given -3x+y=2
y=3x+2
by making table
x. 0. 1 2. 3
y. 2. 5. 8. 11
What is the scale factor of the
dilation shown?
Answer:
C 3/2
Step-by-step explanation:
Since triangle PRQ is the original and is getting bigger proportionally (can tell by side lengths) you can eliminate options A and B since you have to multiply by a number/fraction greater than one since it's getting bigger. Then pick a side corresponding to another side of the other triangle. For example, the side length of PQ is 8. Side length P'Q' is 12. You will need to consider how you get from that 8 since it's the original to the 12. To do that you will need to multiply by 1.5 to get to 12. this is what it means by dilation. Since 3/2=1.5 that would be your answer.
Curt filled 120 cups with juice for the party. He placed 15 cups on each tray. He accidentally spilled 3 trays of juice. How many trays of juice does he still have for the party?
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Answer:
Step-by-step explanation:
pls answer this real answers if its right ill give brainliest
Answer: 7.5 batches
Step-by-step explanation:
60/6 is 10, so she needs to make 10 batches in total.
10-2.5=7.5
Answer:
no. of muffins = 60 muffins
no of muffins in each batch = 6 muffins
no. of batches which got over = 2.5 batches
no. of muffins baked = 6 * 2.5 = 15
no. of muffins to be baked = 60 - 15 = 45
no. of batches required to bake 45 muffins = 45 / 6 = 7.5
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y=-(x-1)^2+25 in factored form
~Shoto Todoroki here~
Y=(x+4)(−x+6)
Hope this helps :D
A survey was given to a random sample of 1350 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 64% of the people said they were in favor of the plan. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth?
The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.
To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.
The formula for calculating the standard error is:
Standard Error = sqrt((p * (1 - p)) / n)
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.
Plugging in the values:
Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)
\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)
≈ 0.0131
Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.
Margin of Error = z * Standard Error
= 1.96 * 0.0131
≈ 0.0257
Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:
Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100
= (0.0257 / 0.64) * 100
≈ 4.0%
Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.
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what is 15% of 1000? Stuck on the problem
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
why we can evaluate sin x for any x using only the interval [-2, 2].
There are a few different ways to approach this question, but one possible explanation is based on the fact that the sine function is periodic, meaning it repeats itself over certain intervals.
The sine function has a period of 2π, which means that sin(x + 2π) = sin(x) for any value of x.Now, let's consider the interval [-2, 2] and imagine that we want to evaluate sin(x) for some value of x outside of this interval. Without loss of generality, suppose that x > 2 (similar arguments can be made for x < -2). Then, we can write x as x = 2πn + y, where n is some integer and y is a number in the interval [0, 2π) that represents the "extra" amount beyond the interval of [-2, 2]. (Note that this decomposition is possible because the period of the sine function is 2π.)
Now, we can use the fact that sin(x + 2π) = sin(x) to rewrite sin(x) as sin(2πn + y) = sin(y). Since y is in the interval [0, 2π), we can evaluate sin(y) using any method that works for that interval (e.g., a lookup table, a series expansion, a graph, etc.). In other words, we can always "wrap" any value of x outside of [-2, 2] into the interval [0, 2π) using the periodicity of the sine function, and then evaluate sin(x) for that "wrapped" value.
Now, why did we choose the interval [-2, 2] in particular? One reason is that this interval is convenient for many practical purposes, such as approximating the sine function using polynomial or rational functions (e.g., Taylor series, Chebyshev polynomials, Padé approximants, etc.). These approximations often work best near the origin (i.e., when x is close to 0), and the interval [-2, 2] contains the origin while still being small enough to be computationally tractable.
Another reason is that many real-world applications that involve trigonometric functions (e.g., physics, engineering, statistics, etc.) often involve angles that are small enough to be within the interval [-2, 2] (e.g., angles in degrees or radians that are less than or equal to 180 degrees or π radians). In these cases, evaluating sin(x) within the interval [-2, 2] is often sufficient for practical purposes.
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Jen traveled from Boston to cape cod at 60mph. On her way back, The traffic was bad and her return trip took 3 times as long. What is her averge speed
Answer:
30 Miles per hour.
Step-by-step explanation:
60 mph = 1 mile per minute.
Returning took 3 times as long so 1 mile per 3 minutes.
Average speed is total distance divided by time.
120 miles divided by 4 minutes.
120 / 4 = 30
find the value(s) of guaranteed by the mean value theorem for integrals for the function over the given interval.
The sum of 25 and 4 is the result promised by the mean value theorem for numerical methods for the function over the specified interval.
G prime(c) = g(b) - g(a) b-a is the formula for the mean value hypothesis for numerical methods for the functional f(c) across the range [a, b]. The assumption is that for the given function, there is a value c between [a, b].
Given the interval [4,9] and the function g(x) = 5x
g prime (c) = g(9) - g(4) ÷ 9-4
g(9) = 5√9
g(9) = 5 × 3 = 15
g(4) = 5√4
g(4) = 5 × 2 = 10
g prime c) = 15-10 ÷ 9-4
g prime (c) = 5 ÷ 5
g prime(c) = 1
So find the numeral for which g prime (x) = g prime(c)
If g(x) = 5√x =
g prime (x) =
g prime (x) = 5 ÷ 2√x
Since g prime (c) = 1 then;
5/2√x = 1
5 = 2√x
√x = 5 ÷ 2
x = (5 ÷ 2)²
x = 25 ÷ 4
The mid-value theorem guarantees a value of c of 25 ÷ 4.
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The question is -
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.)
f(x)=5√x,[4,9]
(Adding and Subtracting Rational Numbers MC)
Solve negative four minus one and three fifths.
five and three fifths
one and three fifths
four fifths
negative five and three fifths
Answer:
negative 5 and 3/5
Step-by-step explanation:
-4-1&3/5
-5&3/5
negative 5 and 3/5(three fifths)
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Answer:
negative 5 and 3/5
Step-by-step explanation:
-4-1&3/5
-5&3/5
negative 5 and 3/5(three fifths)
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Step-by-step explanation:
someone please help me thank u
Answer:
C, E
Step-by-step explanation:
You want to identify the true statements about the end behavior, symmetry, domain, and range of g(x) = -5x² and f(x) = 5x-10.
End behaviorThe function g(x) is of even degree (the exponent is 2), and the function f(x) is of odd degree (the exponent is 1). An even-degree function cannot have the same end behavior as an odd-degree function.
RangeThe range of any odd-degree polynomial function is (-∞, +∞).
Any even-degree polynomial function will have a global maximum or minimum so cannot have the same range. The range of g(x) is (-∞, 0].
DomainThe domain of any polynomial function is "all real numbers." Both f and g have the same domain.
SymmetryAn even-degree function may have an axis of symmetry. An odd-degree function cannot be symmetrical about any line. The functions cannot have the same symmetry.
Points of intersectionTwo polynomial functions may have a number of points of intersection equal to the highest degree. That means a degree-1 and a degree-2 function may have up to 2 points of intersection. These two functions intersect twice, as the graph in the attachment shows.
Do anyone know this
Make sure is the correct answer please
9514 1404 393
Answer:
(a) P = 44 cm + 18 cm + 18 cm = 80 cm
(b) 396 cm²
(c) (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm
(c) (ii) 7 cm
Step-by-step explanation:
(a) The length of arc PQR is given by the formula ...
s = rθ . . . . . where r is the radius and θ is the angle in radians
The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9
So, the arc length is ...
PQR = (18 cm)(22/9) = 44 cm
Then the perimeter of the figure is ...
P = PQR +RO +OP = 44 cm + 18 cm + 18 cm
P = 80 cm
__
(b) The area of a sector is given by ...
A = 1/2r²θ = 1/2(rs)
A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector
__
(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:
height = √((slant height)² - radius²) = √(18² -7²) = √275
height ≈ 16.58 . . . cm
(ii) The length of arc PQR is the circumference of the base of the cone, given by ...
C = 2πr . . . . where r is the radius of the base of the cone
Filling in the known values, we find ...
44 cm = 2(22/7)r
(44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r
The radius of the base of the cone is 7 cm.
which trinomials are perfect square trinomials? select each correct answer. m2 10m 100 m squared plus 10 m plus 100 m2 36m 60 m squared plus 36 m plus 60 m2 10m 25 m squared plus 10 m plus 25 m2 24m 144 m squared plus 24 m plus 144 skip to navigation
Answer:
You can use the definition of perfect square trinomials to find which of the given trinomials are perfect squares.
The trinomials which are perfect squares are:
Option B:
Option D:
What are perfect squares trinomials?
They are those expressions which are found by squaring binomial expressions.
How to find which of the given trinomials are perfect square trinomials?
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was am + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
Checking all options:
Option A:
Comparing it with the standard form we obtained, we have:
Option B:
Comparing it with the standard form we obtained, we have:
Thus, this trinomial is perfect squares trinomial.
Option C:
Comparing it with the standard form we obtained, we have:
Option D:
Comparing it with the standard form we obtained, we have:
Thus, this trinomial is perfect squares trinomial.
Thus,
The trinomials which are perfect squares are:
Option B:
Option D:
Step-by-step explanation:
The label on a car's antifreeze container claims to protect the car between −30°C and 130°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
Answer:
he. haha. shyw sjIana d auhaabab ssbajiaan s
A car travels 120 miles in 3 hours. How far will it travel for 5 hours
The dinner check for Lee's family was $79.30. Estimate a 15% tip.
Answer:
$11.90
Step-by-step explanation:
79.30 times 0.15
Answer:
The answer is 11.895. That's the exact answer.
Step-by-step explanation:
Original price X Discount %
I really need help it’s due soon!!! I will be asking more questions soon
Step-by-step explanation:
Yards of red material = 1.75
Yards of blue material = 1.75 x 1.2 = 2.1 yards
So the blue material is 2.1 yards
In solving for y in the equation, what is the first step? -6x+3y=12
Answer:
Step-by-step explanation:
-6x+3y=12
You have to separate y from the other terms.
So add (-6x) to both sides and you'll get:
3y=6x+12
2x+3
7. Find each value if f(x)=x²-2x-8 and g(x)=-2x+1
(b) f(-3d)
(a) f(3)
(d) g(5)
(e) g(3x)
(e) f(2a-1)
(1) g(-4a+8)
Answer:
Step-by-step explanation:
a. f(-3d) = (-3d)^2 - 2(-3d) - 8 = 9d^2 + 6d - 8
b. f(3) = (3)^2 - 2(3) - 8 = 9 - 8 - 8 = 1 - 8 = -7
c. f(2a - 1) = (2a - 1)^2 - 2(2a - 1) - 8 = 4a^2 - 4a + 1 -4a + 2 - 8 = 4a^2 - 8a - 5
d. g(5)= (2(5)+3)/(5^2 -2(5) + 1) = (10 + 3)/(25 - 10 + 1)= 13/15+1= 13/16
e. g(3x)= (2(3x) + 3))/((3x)^2 - 2(3x) + 1))= (6x + 3)/(9x^2 - 6x + 1)
f. g(-4a + 8) = (2(-4a + 8)) + 3/(-4a + 8)^2 - 2(-4a +8) +1))
(-8a + 16 + 3)/(16a^2 - 32a + 64 + 8a - 16 + 1)
(-8a + 19)/(16a^2 - 24a + 49)
It takes 1 workday to paint 19 of a house. At this rate, how many workdays will it take to complete painting the whole house? PLEASE ANSWER QUICK
Answer:
aszdxcfgvhbjnk
Step-by-step explanation:
En la siguiente tabla se muestra la relación de 1100 piezas entre buenas y defectuosas elaboradas en un taller ceramista
Taza Plato jarrón total
Buena 830 85 1415
Defectuosa 10 5
Total 510 90
¿Cuál es la probabilidad de que se elija una pieza al azar y esté defectuosa dado que se sabe que es un plato?
¿Cuál es la probabilidad de que se elija una taza dado que esté defectuosa?
The probability that a piece selected at random and is defective given that it is known to be a plate is 0.0588 or 5.88%.
To calculate the probability, we need to use Bayes' theorem: P(defective|plate) = P(plate|defective) * P(defective) / P(plate).
P(plate|defective) = 5 / 25 = 0.2P(defective) = 25 / 1100 = 0.0227P(plate) = 90 / 1100 = 0.0818P(plate|defective) = 5 / 25 = 0.2P(defective) = 25 / 1100 = 0.0227P(plate) = 90 / 1100 = 0.0818Therefore, P(defective|plate) = 0.2 * 0.0227 / 0.0818 = 0.0588 or 5.88%.
The probability that a cup will be chosen given that it is defective is 0.4 or 40%.
To calculate the probability, we need to use the information given in the table:
Count the number of defective cups: 10Count the total number of defective products: 25Divide the number of defective cups by the total number of defective products: 10/25 = 0.4 or 40%.
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Complete Question:
The following table shows the relationship of 1100 pieces between good and defective made in a ceramic workshop
cup plate vase total
Good 830 85 1415
Defective 10 5
Overall 510 90
What is the probability that a piece is selected at random and is defective given that it is known to be a plate?
What is the probability that a cup will be chosen given that it is defective?