Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
Angle sum propertySum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°
8 + Зу = 8 +4y
PLEASE HELP
Answer:
16+7y
Step-by-step explanation: More info please. To me it looks like you are adding common factors.
Which value of b makes the equation b4=12 true? A.48 B.16 C.8 D.3
The value of b that makes the equation b * 4 = 12 true is b = 3. Thus, the correct answer is option (D).
Let's apply each option and see which value of b makes the equation b * 4 = 12 true:
A) b = 48
48 * 4 = 192 (not equal to 12)
B) b = 16
16 * 4 = 64 (not equal to 12)
C) b = 8
8 * 4 = 32 (not equal to 12)
D) b = 3
3 * 4 = 12 (equal to 12)
Therefore, the value of b that makes the equation b * 4 = 12 true is b = 3.
Thus, the correct answer is option (D).
Learn more about the equation here:
brainly.com/question/13947055
#SPJ6
figures that have the same size and the same shape
a. Similar figures
b. Congruent figures
c. Parallel figures
d. Symmetric figures
The correct answer to the question is b. Congruent figures.
Congruent figures are figures that have the same size and shape. In other words, if you were to compare two congruent figures, they would be identical in every way. This means that all corresponding sides and angles of the figures are equal.
For example, if you have two triangles that are congruent, their corresponding sides and angles will be equal. So if one triangle has a side length of 5 cm, the corresponding side of the other triangle will also have a length of 5 cm. Similarly, if one angle in one triangle measures 60 degrees, the corresponding angle in the other triangle will also measure 60 degrees.
It's important to note that congruence applies to all types of figures, including triangles, quadrilaterals, circles, and so on. When determining if two figures are congruent, you need to compare their corresponding sides and angles.
To summarize, figures that have the same size and shape are called congruent figures.
To know more about Congruent figures here:
brainly.com/question/12132062
#SPJ11
write the largest open interval on which f is the antiderivative for f.
The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.
To give you a general idea of how to approach this problem, follow these steps:
1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.
If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.
learn more about open interval here: brainly.in/question/54125355
#SPJ11
state the measurement of <1
Answer:
57 degrees
Step-by-step explanation:
because it is the same as the other side
pls help
41) give that s(-1/6)=0, factor as completely as possible: s(x)=36x^3+36x^2-31x-6.
45) let p(x)=x^3-5x^2+4x-20. verify that p(5)=0 and find the other roots of (p(x)=0.
46) let q(x)=2x^3-3x^2-10x+25. show q(-5/2)=0 and find the other roots of 1(x)=0
56) if f(x)=x^6-6x^4+17x^2+k, find the value of k for which (x+1) is a factor of f(x). when k has this value, find another factor of f(x) of the form (x+a), where a is a constant.
41) s(-1/6)=0
=> 36*(-1/6)^3 + 36*(-1/6)^2 - 31*(-1/6) - 6 = 0
=> -12 + 72 + 31 - 6 = 0
=> 85 = 0
So, s(x) = 36x^3 + 36x^2 - 31x - 6
Factors completely as:
(3x+1)(12x^2 - 5x - 6)
45) p(x) = x^3 - 5x^2 + 4x - 20
=> p(5) = 125 - 75 + 20 - 20 = 0
Using the rational zeros theorem, the possible zeros are ±1, ±5/2, ±4.
Testing these, -4 is also a zero.
So the roots are -4, 5, -5/2.
46) q(-5/2) = 2(-5/2)^3 - 3(-5/2)^2 - 10(-5/2) + 25
=> -25 - 45 + 50 + 25 = 5
So q(-5/2) = 0
Other roots: Factoring as (2x + 5)(x^2 - x - 5)
=> -5, -1, -2.
56) f(x) = x^6 - 6x^4 + 17x^2 + k
For (x+1) to be a factor, the remainder should be 0 when f(x) is divided by (x+1).
f(-1) = -1 - 6 + 17 + k
=> k = 10
So when k = 10, (x+1) is a factor.
Again, remainder should be 0 when f(x) is divided by (x+a) for (x+a) to be a factor.
f(-a) = -a^6 + 6a^4 - 17a^2 + 10
Set this equal to 0 and solve for a. You'll get a = -3 or 2.
So when k = 10, f(x) also has (x-3) as a factor.
Hi tell me abt ur life
Going through a rough time right now. How about you?
Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50
fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).
Using the information provided in the table, The total holding cost is $547.50, the total setup cost is $600 and the total cost is $1,147.50.
How to calculate the total costTo develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.
The missing values can be found on the attached table.
From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.
Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.
Learn more on total cost on https://brainly.com/question/29802410
#SPJ1
Need help with this math problem
Answer:
(-1, 4)
Step-by-step explanation:
The formula (-x, y) can be used when reflecting a coordinate across the x-axis.
From a tap 60 ml of water is leaked within 5 minutes. Find the wasted amount of water within 2 hours from this tap
Answer:
1440 mL
Step-by-step explanation:
2 hours = 120 minutes
120/5 = 24
24 * 60 = 1440
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which of the following correlation coefficients would correspond to a strong linear relationship in a data set? a. 0 b. 7 c. 0.9 d. 0.4
The correlation coefficient r is always between -1 and 1, inclusive of both endpoints. We can write \(-1 \le r \le 1\)
If r = 0, then we have no linear correlation at all. If r = 1, then we have perfect positive correlation. If r = -1, then we have perfect negative correlation.
We see that r = 0.9 is close to r = 1, so we have strong positive linear correlation going on here.
i have no idea what to do... This is 7.2 honors geometry btw
Answer:
Hello,
x=5
Step-by-step explanation:
\(Since\ \overrightarrow{AD}=\overrightarrow{BC}, ABCD\ is\ a\ parallelogramm\\\\12x+60=150-6x\\\\18x=90\\\\x=\frac{90}{18} \\\\\boxed{x=5}\\\)
if a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
What is the midpoint of (-2,-5) and (-6,3)? What quadrant is it in?
Which expression is equivalent to
X^-5/3
Answer:
\(\frac{1}{x^{\frac{5}{3}}}\)
Step-by-step explanation:
\(\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}\)
➲ Hope this helps.
What is a similarity transformation in geometry?
A similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but not the shape.
In geometry, a similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but preserve the shape and angles.
Thus, two or more shapes are similar if they have the same shape and corresponding angles, but their corresponding sides are proportional in length.
This type of transformation is often also referred to as dilation.
The rule of dilatation:
\(D_{k}\) (x,y) = (kx, ky)
with \(D_{k}\) is the coordinate point of the new image and k is the scale factor.
To learn more about similarity transformation, click here: https://brainly.com/question/26836817
#SPJ4
A cylinder is shown with a base diameter of 6 centimeters and a height of 8 centimeters. What is the minimum number of identical containers Rene would need to make 2,000 cm3 of ice? (Use π = 3.14.)
Answer:
Rene needs 9 of these identical cylinder.
Step-by-step explanation:
diameter d = 6 cm
height h = 8 cm
volume of this cylinder v = \(\pi d^{2}h/4\)
substituting, we have
v = (3.142 x \(6^{2}\) x 8)/4
v = 226.224 cm^3
minimum number of identical containers Rene should use should be
n = 2,000/226.224 = 8.8
The minimum number must be a whole number, and must completely make this 2000 cm^3 volume of ice or more
answer will be 9
Review
Directions: Use substitution to solve the following;
Simplify the following if x = 2 & y = 5:
1. 3x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 7x =
5. 8y + 5x =
6. 7x + 4y =
Use your knowledge about parentheses and substitution to solve the following:
q = 1; r = 2; s = 3; t = 4; x = 5; y = 6
7. 2(x + 4) + 10 =
8. 3(6x) + 4 =
9. 10(xy) =
10. 5(x + y) =
11. 2(rs) + 4(x)
12. 2(q) + 2(x + t) =
13. 6(7t + 4s) =
14. 9(10x) + 10y =
15. 2x(xy) =
16. r(s)(t) =
17. (r)(s)(t)(x)(y) =
18. (7x + 2y) =
NEED HELP ASAP WILL GIVE BRAINILEST
The possible dimensions are:
45 yards and (10 - 6d) yards
The correct option is C.
What is the rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
The area of the rectangular sports field is 450 -270d square yards.
And the width is at least 60 yards.
Now,
A = 450 -270d
Simplifying,
A = 45(10 - 6d)
Therefore, 45 yards and (10 - 6d) yards are the dimensions.
To learn more about the rectangular;
brainly.com/question/21416050
#SPJ1
The area of the rectangle is more than 47 square meters. Find the possible
(3n - 5) m
2 m
occount You currently
The possible values for the dimensions of the rectangle are (3n - 5) m and 2 m, where n is any positive integer greater than or equal to 10.
Assume the length of the rectangle is (3n - 5) m and the width is 2 m. The area of a rectangle is given by the formula A = length * width.
Substituting the given dimensions into the formula, we get:
Area = (3n - 5) m * 2 m
Area = 6n m² - 10 m²
Since we are told that the area of the rectangle is more than 47 square meters, we can set up the inequality:
6n m² - 10 m² > 47 m²
Simplifying the inequality:
6n m²> 57 m²
n > 57/6
n > 9.5
Since n must be a positive integer, the smallest integer greater than 9.5 is 10. Therefore, n must be greater than or equal to 10.
So, the possible values for n are any positive integer greater than or equal to 10, and correspondingly, the dimensions of the rectangle are (3n - 5) m and 2 m.
To know more about dimensions, refer here:
https://brainly.com/question/29581656#
#SPJ11
Complete question:
The area of the rectangle is more than 47 square meters. Find the possible
(3n - 5) m
2 m
Jogging burns 375 calories in 45 minutes. Determine how many calories are burned per hour.
Answer:
500 calories an hour are burnt.
Step-by-step explanation:
45 is 3/4 of 60, so 375 is 3/4 of an hour of jogging. If we divide 375 by 3 we will get how many calories are burnt every 1/4 of an hour.
375 / 3 = 125
Now that we know what 1/4 of an hour equals we can add 125, 4 times to find the number of burnt calories in an hour of running.
125 + 125 + 125 + 125 = 500
that means jogging burns 500 calories an hour.
what is a congruent polygon
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
Learn more about Congruent polygons here:
https://brainly.com/question/2096633
#SPJ1
6. if one factor of x ²-7x+10 is x-2, what is the other factor?
A. x + 5
B. x + 8
C. x - 8
D. x -5
7. what is the complete factored form of 9 x²-12x+4?
A.(3x+2)²
B. 3x-2)²
C. (3x+2)(3x-2)
D. (3x-2)(3x-2)
8. what what is the result when you square a binomial?
A.binomiak
B. difference of two squares
C. sum of two squares
D. perfect square trinomial
9. the rectangle has an area of 2 x ² 8 x + 8. if the length is represented by 2 x + 4 find a binomial that represents the width of the rectangle.
A. x + 2
B. - x -2
C. x -2
D. - x + 2
10. what are the two expressions whose sum is 11 times and was product is 24 x ² ?
A. 3x and 8x
B. -3x and 8x
C. 3x and -8x
D. -3x and -8x
Answer:
6. B. x + 8
7. D. ( 3x-2)(3x-2)
8. D. Perfect square trimomal
9.C. x - 2
10. A. 3x and 8x
Step-by-step explanation:
Semoga Bermanfaat
What is the maximum value of f(x) = −3 sin(5x-4)? A. 5
B. 3
C. 4
D. 1.5
E. 15
The maximum value of the function is \(\( -(-\frac{3}{2}) = \frac{3}{2} \).\)
Hence, the correct answer is D. 1.5.
To find the maximum value of the function \(\( f(x) = -3 \sin(5x - 4) \)\), we can analyze the properties of the sine function and its effect on the given equation.
The sine function is a periodic function that oscillates between -1 and 1. The coefficient in front of the sine function, -3, affects the amplitude of the function.
Amplitude:
The amplitude of a sine function is half the distance between the maximum and minimum values. In this case, the amplitude is given by \(\( \frac{1}{2} \times (-3) = -\frac{3}{2} \).\)
Horizontal shift:
The expression inside the sine function, 5x - 4, indicates a horizontal shift to the right by \(\( \frac{4}{5} \)\)units. This shift does not affect the amplitude or the maximum value of the function.
Since the amplitude is negative, the graph of the function is reflected over the x-axis. This means that the maximum value will be the negation of the amplitude.
Therefore, the maximum value of the function is \(\( -(-\frac{3}{2}) = \frac{3}{2} \).\)
Hence, the correct answer is D. 1.5.
Learn more about maximum value here:
https://brainly.com/question/22562190
#SPJ11
Camden invested $680 in an account paying an interest rate of 2 1/4% compounded daily. Jayden invested $680 in an account paying an interest rate of 2 5/8% compounded continuously. After 19 years, how much more money would Jayden have in his account than Camden, to the nearest dollar?
Answer:690
Step-by-step explanation:
690
Answer: $3,261.
Step-by-step explanation:
The answer is $3,261. Jayden would have more money in his account than Camden because his account pays a higher interest rate and is compounded continuously, which allows more frequent compounding of interest. This means that Jayden's account accumulates more interest than Camden's account over time.
Simplify the given exponential expression.
(x 1/4)^16
Answer below using ^ to raise a variable to a power, for example, x squared would be x^2, and NO SPACES, so if the answer was 3 x squared y cubed you would put 3x^2y^3
Solve 5+x=3(x-7)+6
A. 31/2
B. There are infinitely many solutions.
O C. x= 3
D. x= 10
Answer:
D
Step-by-step explanation:
5 + x = 3(x - 7) + 6
~Distribute right sides
5 + x = 3x - 21 + 6
~Combine like terms
5 + x = 3x - 15
~Subtract 5 to both sides
x = 3x - 20
~Subtract 3x to both sides
-2x = -20
~Divide -2 to both sides
x = 10
Best of Luck!
Answer:x= 10
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(5.3 x 10^3) - (8 x 10^2)
Answer:
800
Step-by-step explanation:
Solve the following problem. For cleaning the house, a company charges 20 Dhs flat transportation fee and 30 Dhs per hour of work. a. Write an equation showing the relation between the cost (C) and the number of worked hours (h).
The equation relating the cost (C) and the number of worked hours (h) is C = 30h + 20, where C represents the total cost and h represents the number of worked hours.
The equation C = 30h + 20 represents the relation between the cost (C) and the number of worked hours (h) for cleaning the house.
The term 30h represents the cost per hour of work, where 30 is the hourly rate charged by the company. The cost per hour is multiplied by the number of worked hours (h) to calculate the variable cost based on the duration of the cleaning service.
The term 20 represents the flat transportation fee, which is a fixed cost that is added regardless of the number of hours worked.
By adding the variable cost (30h) and the fixed cost (20), we obtain the total cost (C) for cleaning the house. This equation allows us to calculate the cost based on the number of hours worked.
Learn more about cost here:
https://brainly.com/question/16895599
#SPJ11
please solution
this question quickly
If the standard
time is 234.15 minute and the basic time is 233.4 minute, the
allowance time is:
0.75
minute
0.57
minute
0.80
minute
The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute
To calculate the allowance time, we can use the following formula:
Allowance time = Standard time - Basic time
Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes
Therefore, the allowance time is 0.75 minutes.
Learn more about allowance time, here:
https://brainly.com/question/30011892