9514 1404 393
Answer:
(b) y/6 = 7/5.25
Step-by-step explanation:
Clockwise from the obtuse angle, the side ratios are ...
Fig I : Fig II
4.2 : 3.15
y : 6
7 : 5.25
6 : x
4 : 3
__
A true proportion will have corresponding parts of these ratios in corresponding places. The only true proportion listed is ...
\(\dfrac{y}{6}=\dfrac{7}{5.25}\)
Study the pattern of numbers given below and write the rule that describes the pattern 1,3,9,27,81
Find the interval in which f(x)=sinx−cosx is increasing or decreasing?
Answer:
There is no short answer.
Step-by-step explanation:
To find to intervals which f(x) increases or decreases, we first need to find it's derivative.
\(f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx\)
The function is increasing when it's value is > 0 and decreasing when it's value is < 0.
If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.
I hope this answer helps.
pls help, no rush I just get really stressed when I don't know the answer to a problem, pls explain ur reasons :)
9514 1404 393
Answer:
2. correct
3. addition property of equality
4. substitution property of equality
Step-by-step explanation:
You're asked for the Reasons, so you need to examine the Statements to see how you get from one line to the next.
The first line of Statement 2 differs from Statement 3 in that m∠GHI has been added to both sides of the equation (ignoring the typo in statement 3). The reason you can add the same thing to both sides of an equation is given by the Addition Property of Equality.
Statement 3 differs from Statement 4 in that one of the m∠GHI has been replaced by m∠JKL. We can do this replacement because those measures are equal to each other. Replacement of equals by equals is allowed by the Substitution Property of Equality.
Assume that when adults with smartphones are randomly selected, 58% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find theprobability that exactly 3 of them use their smartphones in meetings or classes
Given that the sample contains 6 students, so the sample size will be,
\(n=6\)Let the success of the experiment is defined as the event that a randomly selected adult uses a smartphone in meetings or classes. And 'x' be the random variable representing the number of successes.
Given that 58% of the adults use a smartphone in meetings and classes. So there will be 58% chance that a randomly selected adult uses a smartphone in meetings and classes.
So, the probability of success will be,
\(\begin{gathered} p=58\text{ percent} \\ p=\frac{58}{100} \\ p=0.58 \end{gathered}\)Then, the probability of getting exactly 'x' successes, is given by,
\(P(X=x)=^nC_x\cdot p^x\cdot(1-p)^{n-x}\)So, the probability of exactly 3 successes will be,
\(\begin{gathered} P(X=3)=^6C_3\cdot(0.58)^3\cdot(1-0.58)^{6-3} \\ P(X=3)=20\cdot(0.195112)\cdot(0.074088) \\ P(X=3)\approx0.2891 \\ P(X=3)\approx28.91\text{ percent} \end{gathered}\)Thus, there is 28.91% probability that exactly 3 of them use their smartphones in meetings or classes.
(-13, 4] n [3, ∞0)
Find the intersection
Answer:
[3, 4]
Step-by-step explanation:
The intersection of two intervals is the interval where they overlap.
IntersectionThe first interval extends to the left from x=4. The second extends to the right from x=3. They overlap between x=3 and x=4, with those end points included.
The intersection is ...
[3, 4]
solve for d
60 = 4d-8
8=?
Answer:
17
Step-by-step explanation:
60=4d-8
We move all terms to the left:
60-(4d-8)=0
We get rid of parentheses
-4d+8+60=0
We add all the numbers together, and all the variables
-4d+68=0
We move all terms containing d to the left, all other terms to the right
-4d=-68
d=-68/-4
d=17
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
For more such questions on line.
https://brainly.com/question/280216
#SPJ8
A washer and a dryer cost $596 combined. The washer costs $54 less than the dryer. What is the cost of the dryer?
Answer:
The washer costs 220 and the dryer costs 376! brainliest pls!
Step-by-step explanation:
Determine whether the equation to find Y as a function of X
NEED ASAP
The statement y is a function of x as shown is TRUE.
Functions and variablesFunctions are expressed in terms of variables. We have the dependent variable and the independent variable. The variable y expressed as a function of x is written as y = f(x)
where
y is the dependent
x is the independent
From the given equation y = 3/x + 3, since y is depending on the variable 'x', hence y is a function of the variable x. The statement is TRUE.
Learn more on function and variable here: https://brainly.com/question/25638609
#SPJ1
Write the standard form of an equation of an ellipse subject to the given conditions.
Endpoints of minor axis: (/37,0) and (-37,0);
Foci: (0,5) and (0, -5)
The equation of the ellipse in standard form is
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
\(\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1\)
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
\(\frac{x^2}{1369}+ \frac{y^2}{1394} =1\)
Solving for Side Lengths of Right Triangles
Quiz Active
1
2 3
O
4 5
с
Which relationship in the triangle must be true?
sin(B) = sin(A)
O sin(B) = cos(90 - B)
cos(B) = sin(180 - B)
O cos(B) = cos(A)
6
B
7 8
9
10
TIME REMAINING
12:30
Answer:
6 is the sin
Step-by-step explanation:
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
For more such questions on flower
https://brainly.com/question/30256774
#SPJ8
What number between 0 and 100 meets the following criteria? It is a multiple of three, a multiple of five, and an odd number. When you multiply the digits, you get an even number. When you add the digits, you get an odd number.
Answer:45
Step-by-step explanation:
9x5=45
15x3=45
4x5=20
4+5=9
Please help me it’s about angles
nine times the difference between 4 and a number is24.what is the number.
Answer:
9×24-4
216-4
212
Step-by-step explanation:
I am not sure, but it might help you
Answer:
n = \(\frac{4}{3}\)
or (because the wording is kind of confusing)
n = \(\frac{20}{3}\)
Step-by-step explanation:
9(4 - n) = 24
36 - 9n = 24
-9n = -12
n = \(\frac{4}{3}\)
or (because the wording is kind of confusing)
9(n - 4) = 24
9n - 36 = 24
9n = 60
n = \(\frac{20}{3}\)
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.57 inches if she needs 1,000 ribbons what is the length of ribbon sarah need
Answer:
3,570
Step-by-step explanation:
To find the answer, you have to multiply 1,000 and 3.57
3.57 x 1,000 = 3,570
The value of y varies directly with the value of x. When y = 18, x = 3.
What is the value of x when y = 54?
Answer:
9
Step-by-step explanation:
y is 6 times x, so if you divide 54 by 6, you get 9. Hope this helps :)
What is the mean for the set of data shown below? (Careful mean and median are different measures)
27, 32, 14, 19, 24, 26, 22, 32, 29
Answer:
25
Step-by-step explanation:
To find the mean
first add all the number
27+ 32+ 14+ 19+ 24+26+ 22+ 32+ 29
225
Then divide by the number of terms, there are 9 terms
225/9
25
Answer:
B. 25
Step-by-step explanation:
27+32+14+19+24+26+22+32+29=225
Mean=225/9
Mean =25
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Write an equation of the line in slope -intercept form ( due today!)
Answer: The answer would be y=1/3x-3
2. Two of your classmates are arguing over the solution to a problem. Rhonda believes that the only method to solving the following theequation below is by using the quadratic equation. Max believes that you can use the quadratic formula but you can also factor theequation. Explain if Rhonda or Max is correct.2x^2-5x=88Some words/phrases to consider using in your response would be:factorFOIL MethodZero-Product PropertyStandard Formquadratic expressionquadratic equationscoefficientperfect square
Given data:
The given expression is x^2 -6x-7=0.
The given expression can be written as,
\(\begin{gathered} x^2-6x=7 \\ x^2-6x+(\frac{6}{2})^2=7+(\frac{6}{2})^2 \\ x^2-2(x)(3)+3^2=7+3^2 \\ (x-3)^2=16 \end{gathered}\)Thus, the number 9 is added on both sides to complete square.
Find the measure of AB.
20,
E
61%
D
B
A
21. B
65°
D
C
22. A
B
E
D
91
To find the measure of angle AB, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Given:
Angle A = 65 degrees
Angle B = 91 degrees
We can subtract the sum of these two angles from 180 degrees to find angle AB:
Angle AB = 180 - (Angle A + Angle B)
Angle AB = 180 - (65 + 91)
Angle AB = 180 - 156
Angle AB = 24 degrees
Therefore, the measure of angle AB is 24 degrees.
The function f(x)=4^x-6 is transformed to function G through a vertical compression by a factor of 1/2. Complete the equation of function G .  enter the correct answer in the box. Substitute  numerical values into the equation for a and k.
g(x) = a(4)^x-k
The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2
How to solve a function?
If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:
g(x) = a(4) raise to the power x-k/2
where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:
f(x) = g(x)/2
Substituting the expression for g(x) into this equation and simplifying, we get:
4raise to the power x - 6 = a(4)raise to the power x-k/2
To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:
f(0) = 4 - 6 = -5
f(1) = 4- 6 = -2
Using the equation g(x)/2 = f(x), we can write:
g(0)/2 = -5
g(1)/2 = -2
Substituting the expression for g(x) into these equations, we get:
a(4) raise to the power -k/2 = -10
a(4) raise to the power 1-k/2 = -4
Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":
(4)raise to the power -k/2 / (4) raise to the power 1-k/2 = -10 / -4
Simplifying this equation, we get:
4.raise to the power(1-k/2) = 5
Taking the logarithm of both sides (with base 4), we get:
1-k/2 = log4(5)
Solving for "k", we get:
k = 2 - 2 log4(5)
Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":
a = -10 / (4) raise to the power -k/2
Substituting the numerical value of "k", we get:
k = 2 - 2 log4(5) ≈ 0.872
a = -10 / (4) raise ti the power -k/2 ≈ 2.323
Therefore, the equation for the transformed function g(x) is:
g(x) = 2.323 (4)raise to the power x-0.872/2
or equivalently:
g(x) = 1.1615 (4) raise to the power -x0.872
To know more about functions visit :-
https://brainly.com/question/11624077
#SPJ1
Answer:
g(x) = 1/2 (4)^x - 3
Step-by-step explanation:
A vertical compression by a factor of 1/2
means that the entire function f is multiplied by 1/2:
1/2 f (x) = 1/2 (4^x - 6)
= 1/2 (4)^x - 3
What is the equation of the line that passes through the points (0,-7) and (5,-1) put your answer in fully reduced form
Answer:
the answer is y=6/5x-7
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-7)/5-0
m=6/5
y-y=m(x-x¹)
y-(-1)=6/5(x-5)
y+1=6/5x-6
-1 -1
y=6/5x-7
What is the answer to this my friend says I can’t do it
Answer:
d
Step-by-step explanation: If it is wrong sorry but thats what I got
Answer:
if I am right, it is D.
Step-by-step explanation:
Each cup of flour equals to 16 cookies.
Might be wrong, tell me if it is, and sorry if it is :v
Which factor of 24 can help you solve 24 divided by 4?
Answer:
im an expert
Step-by-step explanation:
Can someone help me with this?!
Jessica's class schedule for next semester must consist of exactly one class from each of the four categories shown in the table.
Category Number of choices
Economics 2
Mathematics 3
Education 4
Sociology 4
All sections for the 2 most popular classes in mathematics are full. The rest of the courses are available. Determine the number of different sets of classes Jessica can take.
Jessica is able to select from 32 different class sets as a result.
What purposes do determines serve?A determiner is a member of the set of words used to change words or their synonyms. Determiners are typically used in front of descriptors to help make it clearer to whom or what a noun refers. For example, are you're interested in buying this new book? This acts as a determining word.
Jessica must select one class in each of the 4 groups, thus we can count the possibilities by multiplying the number of ways Jessica can select 1 class from each category.
Jessica has 2 options under the economics heading.
The 2 most popular classes in the mathematics category are filled, so she must select from the 1 remaining class.
There are 4 options in the schooling category for her.
She has 4 options under the sociology area.
As a result, Jessica is permitted to enroll in a total of:
2 (choices for economics) × 1 (choice for mathematics) × 4 (choices for education) × 4 (choices for sociology) = 32
To know more about Determine visit:
https://brainly.com/question/30795016
#SPJ1
the sum of twice a number and 15 less than the number is the same as the difference between -19 and the number. What is the number?
Answer:
-1
Step-by-step explanation:
Twice a number: 2n.
15 less than the number: n-15.
The sum of those: (2n) +(n-15) = 3n-15.
__
The difference between -19 and the number: -19-n
__
These values are the same, so we have ...
3n -15 = -19 -n
4n = -4 . . . . . . . . add n+15 to both sides
n = -1 . . . . . . . . . divide by -4
The number is -1.
a rectangle is 100x500 yards what is the square yards
Answer:
It is 50000 sq. Yards.
Hope it helps