Answer:
11/9
Step-by-step explanation:
If this is an addition question then this is your answer.
4. An equilateral triangle and an isosceles triangle share a common side. What is the measure of ∠ A B C?
Answer:
∠ABC = 98°
Step-by-step explanation:
an isosceles triangles base angles have the same angle measures
so both are 71
add them and then subtract that from 180 to find ∠ABD
180 - (71 + 71)
180 - 142 = 38
that is ∠ABD
to find ∠ABC you must add ∠DBC to ∠ABD
all angles of an equilateral triangle are equivalent
they are also 60 degrees
so add 60 to 38
38 + 60 = 98
that is your answer
WIL GIVE BRAINLIEST!!!!
What is the value of x in simplest radical form?
Look at the provided picture!!!
Answer: b
Step-by-step explanation:
3^2 + x^2 = 9^2
9 + x^2 = 81
x^2 = 72
x = sqrt(72)
Use the method of completing the square to write the equation of the given parabola in this form:
(y-k)=a(x-h)²
where a≠ 0,(b, k) is the vertex, and x=h is the axis of symmetry.
Find the x-intercepts of the parabola with vertex (6,-5) and y-intercept (0,175). Write your answer in this form: x₁, y₁),(x₂, y₂). If necessary, round to the nearest hundredth.
The x-intercepts of the parabola are (x₁, y₁) = (6.67, 0) and (x₂, y₂) = (5.33, 0).
What is the equation of a parabola?
The general equation of a parabola is given by y = a(x – h)2 + k or x = a(y – k)2 +h. Here (h, k) denotes the vertex.
To write the equation of the given parabola in the desired form, we can complete the square.
The equation of a parabola with vertex at (h, k) and axis of symmetry x = h is given by:
y = a(x - h)^2 + k
where a is a nonzero constant.
In this case, the vertex is (6, -5) and the y-intercept is (0, 175), so the equation of the parabola is of the form:
y = a(x - 6)^2 - 5
Substituting the y-intercept, we have:
175 = a(0 - 6)^2 - 5
Solving for a, we find that a = 15/4.
Thus, the equation of the parabola is:
y = 15/4(x - 6)^2 - 5
To find the x-intercepts, we need to find the values of x such that y = 0. Substituting y = 0 into the equation of the parabola, we have:
0 = 15/4(x - 6)^2 - 5
Adding 5 to both sides, we have:
5 = 15/4(x - 6)^2
Dividing both sides by 15/4, we have:
4/15 = (x - 6)^2
Taking the square root of both sides, we have:
x - 6 = +/- 2/3
Thus, the x-intercepts are at x = 6 +/- 2/3.
Therefore, the x-intercepts of the parabola are (x₁, y₁) = (6 + 2/3, 0) and (x₂, y₂) = (6 - 2/3, 0).
Rounded to the nearest hundredth, the x-intercepts are (x₁, y₁) = (6.67, 0) and (x₂, y₂) = (5.33, 0).
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someone please help i’ve been struggling for 20 minutes
The number of leaves on a tree which is 2 yards tall and receives 9 hours of sunlight is 324 leaves.
How many leaves are on the tree?The number of leaves on a tree = zHeight of the tree in yards = yHours of direct sunlight the tree receives = xz = k × y × x
Where,
k = constant of proportionalityIf y = 10 yards, x = 3 hours, z = 540 leaves
z = k × y × x
540 = k × 10 × 3
540 = 30k
k = 540/30
k = 18
Then, find z when y = 2 yards and x = 9 hours
z = k × y × x
= 18 × 2 × 9
z = 324 leaves.
In conclusion, given the constant of proportionality, the number of leaves on the tree is 324 leaves.
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A local manufacturing firm produces four different metal products, each of
which must be machined, polished and assembled. The specific time
requirements (in hours) for each product are as follows:
Machining,
hours
Polishing, hours Assembling,
hours
Product I 3 1 2
Product II 2 1 1
Product III 2 2 2
Product IV 4 3 1
The firm has available to it on weekly basis, 480 hours of machining time, 400 hours
of polishing time and 400 hours of assembling time. The unit profits on the productare Birr 360, Birr 240, Birr 360 and Birr 480, respectively. The firm has a contract
with a distributor to provide 50 units of product I, and 100 units of any combination
of products II and III each week. Through other customers the firm can sell each
week as many units of products I, II and III as it can produce, but only a maximum
of 25 units of product IV. How many units of each product should the firm
manufacture each week to meet all contractual obligations and maximize its total
profit? Make a mathematical model for the given problem. Assume that any
unfinished pieces can be finished the following week.
Profit is the money you have left after paying for business expenses.
What is profit?Profit is the term used to describe the monetary gain experienced when the revenue from a business activity outpaces the costs, costs, and taxes incurred to maintain the activity in question.Any earnings go back to the company's owners, who can choose to keep the money for themselves, give it to shareholders as dividends, or put it to use again in the company.A business's profit is the money left over after all costs have been deducted. Any business, whether it be a lemonade stand or a publicly traded multinational corporation, has as its main objective making money. As a result, a business's success is measured by its profitability in all of its forms.Depending on the analyst, profitability before taxes and other expenses may be more important to them than top-line profitability. Others are only interested in profitability after expenses have been covered.
The production of the products are given below with the profit as well:
a. Production of Product 1 = 50 units per week
b. Production of Product 2 = 0 units per week
c. Production of Product 3 = 145 units per week
d. Production of Product 4 = 10 units per week
e. Total Profit = $1250 per week
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Answer:
Step-by-step explanation:
A local manufacturing firm produces four different metal products, each of
which must be machined, polished and assembled. The specific time
requirements (in hours) for each product are as follows:
Machining,
hours
Polishing, hours Assembling,
hours
Product I 3 1 2
Product II 2 1 1
Product III 2 2 2
Product IV 4 3 1
h
41. What is the solution of the system? (1 point)
y=9x-2
y=7x+3
5 41
2 29
5'5
1 13
22
29 need help quickly question is in unit eight lesson two semester final exam on Pecos
The solutions of the given system of Equations are (5/2, 41/2).
What are the Solutions of Equations:The set of values for each variable in a system of linear equations is referred to as the solution set.
The intersection or meeting points of the lines or planes used to illustrate the linear equations are also known as the solutions.
The elimination method is one way of resolving a system of linear equations. To obtain the equation in one variable using this technique, simply add or subtract the equations.
Here we have
y = 9x-2 --- (1)
y = 7x+3 --- (2)
From (1) and (2)
=> 9x - 2 = 7x + 3
=> 9x - 7x = 3 + 2
=> 2x = 5
=> x = 5/2
Substitute x = 5/2 in (1)
=> y = 9(5/2) - 2
=> y = (45/2) - 2
=> y = (45 - 4)/2
=> y = 41/2
Therefore,
The solutions of given system of Equations are (5/2, 41/2).
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A continuous probability distribution has density:
a) If the expected value is equal to 1, find the values of a and b.
b) What is the variance of X?
Therefore the solution to this question is expression a=3/5 & expression b=6/5 3a+b=3 , and 10a+5b=6+6=12 .
What is probability?Probability is the study of how likely it is for an event to occur or for a statement to be true, with numerical explanations of probability being a key component. An event's probability is represented by a number between 0 and 1, where, broadly speaking, 0 indicates that the event is impossible and 1 indicates that it is certain to occur.
Here,
Naturally, the total probability for x∉[0,1] is 0 and since the total probability must be 1, we have
∫01a+bx2dx=1
The left-hand side is
[ax+b[tex]x^{3}[/tex]/3] x=1 & x=0 => a+b3
3a+b=3
In general, for continuous probability distributions we have
E(x)=∫P(x)xdx
(If you have a sufficiently advanced version of integration, the restriction to continuous distributions may be lifted.)
In this case, it's
E(x)=[a[tex]x^{2}[/tex]/2+b[tex]x^{4}[/tex]/4]x=1 & x=0 => a/2+b/4
So,
a/2+b/4=3/5
10a+5b=12
Being shrewd with matrix inversion or anything of the sort is pointless. Just get rid of b:
15a+5b=15
5a=3
a=3/5
b=3(1−a)=6/5
and indeed 3a+b=3 , and 10a+5b=6+6=12 .
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Ron and Annie have $1,571.13 in their checking account. During the week Annie goes to an ATM and withdraws
$80. The following week Ron deposits his paycheck of $456.82. Annie then pays bills online in the amounts of:
179.48, $74.73, $82.70, and $139.55. What is the current balance in their checking account?
Answer:
$1471.49
Step-by-step explanation:
1571.13-80=1491.13
1491.13+456.82=1947.95
179.48+74.73+82.70+139.55=476.46
1947.95-476.46=1471.49
Find the equation of the line joining the points (2,-8) and (5,6)
The equation of the line joining the points (2,-8) and (5,6) is y = 14 / 3 x - 52 / 3
How to find the equation of a line?The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line passes through the points (2,-8) and (5,6). Let's find the slope.
m = 6 + 8 / 5 - 2
m = 14 / 3
Let's find the y-intercept using (5, 6).
y = 14 / 3 x + b
6 = 14 / 3 (5) + b
6 = 70 / 3 + b
b = 6 - 70 / 3
b = 18 - 70/ 3
b = -52 / 3
Therefore, the equation is y = 14 / 3 x - 52 / 3
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The formula A=23.1 е⁰⁰¹⁵²⁺ models the pollution of US state, a, in millions ,t years after 2000.
A. What was the population of the state in 2000 ?
b. When will the population of the state reach 28.3 million?
a. In 2000 , the population of the state was million.
The population of the state in 2000 was 23.1 million and the population will be 28.3 million after 13.4 years.
What is an exponential function?The definition of an exponential function is given by the equation
y = aeᵇˣ, where bx is an exponent.
The given equation is [tex]A = 23.1e^{0.0152t}[/tex].
To find the population of the state in 2000, substitute t = 0 in the given equation:
[tex]A =23.1e^{0.0152(0)}\\\\A = 23.1[/tex]
Now, Substitute A = 28.3 into the given equation and solve for t:
[tex]28.3=23.1e^{0.0152t}\\\\e^{0.0152t}=1.2251\\\\0.0152t=\ln(1.2251)\\\\0.0152t=0.2030\\\\t=13.4[/tex]
Hence, the population of the state in 2000 was 23.1 million and the population will be 28.3 million after 13.4 years.
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find the coordinaates of the turning point on the curve with equation y=9+18x-3x>2
The coordinates of the turning point on the curve with the quadratic equation y = 9 + 18x - 3x² is (3,36).
What is a quadratic equation?
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
It is given that:
The quadratic equation is:
y = 9 + 18x - 3x²
To find the turning point:
Graph the above quadratic equation;
From the graph:
The maximum point from where the graph starts to decrease is (3,36)
Thus, the coordinates of the turning point on the curve with the Quadratic equation y = 9 + 18x - 3x² is (3,36).
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Your family plans to start a small business in your neighborhood. Your father borrows
$10, 000 from the bank at an annual interest rate of 8% rate for 36 months. What is the
amount of interest he will pay on this loan?
The amount of interest he will pay on this loan is $12,400.
Principal = $10,000
Rate = 8%
Time = 36 months, 1 year - 12 months
36 months - 36/12= 3 years
S.I. = PRT/100
10,000*8*3/100
240,000/100 = $2,400
A = P+I = 10,000+2,400= $12,400
The amount of interest he will pay on this loan $12,400.
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mathe help needed easy graphing
Answer:
y = 2.5x
Step-by-step explanation:
When the relationship is proportional you can find the slope (or unit rate) by taking any point in the form y/x
20/8 = 2.5
30/12 = 2.5
This will work of every point n the line.
Please help me on math very easy graphing! thank you!! due soon
Answer:
4x=4 or 4tims x =y
Step-by-step explanation:
1x4=4
3x4-=12
The time married men with children spend on child care averages 6.0 hours per week. You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.0 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data are contained in the table below. 1.4 4.9 8.5 5.2 10.2 2.6 7.2 2.6 11.1 10.6 2.3 7.8 1.8 8.7 2.1 4.5 5.3 3.5 8.8 6.7 2.9 10.8 8.4 4.9 5.7 9.8 0.9 11.9 3.5 8.7 6.5 6.5 2.0 9.7 a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported in your area? H : HA: # Ag b. What is the sample mean (to 1 decimal)? Calculate the value of the test statistic (to 2 decimals). What is the p-value? greater than .207 c. Select your own level of significance. What is your conclusion? Do not reject the null. We don't have enough evidence to disprove the reported time.
The null hypothesis (H0) would be that the population mean number of hours married men in your area spend on child care per week is equal to the reported mean of 6.0 hours per week.
The population mean number is equal to the reported mean according to null hypothesis. The alternative hypothesis (HA) would be that the population mean differs from the reported mean.
H0: μ = 6.0 hours/week
HA: μ ≠ 6.0 hours/week
b. To find the sample mean, we need to add up all of the values in the sample and divide by the number of values. The sample mean is 6.34 hours/week.
To calculate the test statistic, we can use the formula:
t = (x' - μ0) / (s / √n)
where x' is the sample mean, μ0 is the hypothesized mean (in this case, 6.0 hours/week), s is the sample standard deviation, and n is the sample size.
Plugging in the values, we get:
t = (6.34 - 6.0) / (3.23 / √40) = 0.34 / (0.53 / 6.32) = 0.34 / 0.08 = 4.25
The p-value is the probability of getting a result as extreme as the one we observed, given that the null hypothesis is true. In this case, we would need to use a t-distribution table or a computer program to find the p-value, since the sample size is small and the population standard deviation is unknown.
c. If we select a level of significance of 0.05, then we can use the p-value to make a decision about the null hypothesis. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that the population mean differs from the reported mean. If the p-value is greater than 0.05, we do not have enough evidence to reject the null hypothesis and would conclude that the population mean is likely to be the same as the reported mean.
In this case, the p-value is greater than 0.207, so we do not have enough evidence to reject the null hypothesis. We would conclude that the population mean number of hours married men in your area spend on child care per week is likely to be the same as the reported mean of 6.0 hours per week.
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
The given coordinate point is (-1, 5) and slope=-4.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get
5=-4×(-1)+c
⇒ c=5-4
⇒ c=1
Substitute m=-4 and c=1 in y=mx+c, we get
y=-4x+1
Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
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Describe the composition of translations.
translation: (x, y)__
translation: {x, y)__
The composition of translations for the first image is (x+1, y+5) and for the second image is (x-4, y).
What is a translation?
A transformation that moves a figure through its points using a given ruler—a translation vector—is referred to as a translation. Without altering the original geometry, this process moves each point in a picture both horizontally and vertically.
Given a graph of translation
The first image is translated as 1 unit upward and 5 units right side.
Then, translation (x,y) → (x+1, y+5)
And,
The second image is translated as 4 units downward only.
Then, translation (x,y) → (x-4, y)
Hence, the above is the required composition of translations.
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-6.05+(-3.611) srrrrgggggggggggg
Answer:
-9.661
Step-by-step explanation:
Adding a negative is the same as subtracting a positive and you started with a negative number so:
-6.05
-3.611
------------
-9.661
Answer: -9.661
Step-by-step explanation:
A negative plus a negative will ALWAYS equal a negative. If you have an addition with two negatives, just add them normally and add the negative sign:
-6.05+(-3.611) = 6.05 + 3.611
6.05 + 3.611 = 9.661
Now add the negative sign:
9.661 = -9.661
Hope this helps!!
What is the area of the triangle?
7 cm
10 cm
Area = [?] cm²
Enter
Answer:
35cm^2
Step-by-step explanation:
Things To Keep In Mind:
Height: 7 cm
Length: 10 cm
(L*H)/2=area of triangle
7*10=70
70/2=35
If there are any problems with this answer please feel free to tell me, thanks :)
You volunteer to help drive children at a charity event to the zoo, but you
can fit only 6 of the 18 children present in your van. How many different
groups of 6 children can
you
drive?
18,564 different groups of 6 children can be driven.
Here we are given 18 Children in total and we can fit Only 6 Children out of them.
The number of different groups of 6 children that can fit into the van ca be calculated with a simple formula
The formula used will be -
n! = n(n-1)(n-2)(n-3).......1
n!= (18 x 17 x 16 x 15 x 14 x 13) / (6 x 5 x 4 x 3 x 2)
= 18,564
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Jai and Keilantra are both driving along the same highway in two different cars to a
stadium in a distant city. At noon, Jai is 254 miles away from the stadium and
Keilantra is 293 miles away from the stadium. Jai is driving along the highway at a
speed of 41 miles per hour and Keilantra is driving at speed of 54 miles per hour. Let
J represent Jai's distance, in miles, away from the stadium & hours after noon. Let K
represent Keilantra's distance, in miles, away from the stadium t hours after noon.
Write an equation for each situation, in terms of t, and determine the number hours
after noon, t, when Jai and Keilantra are the same distance from the stadium.
The number of hours when Jai and Keilantra are the same distance from the stadium is 3 hours.
How to calculate the equation?Jai is 254 miles away from the stadium. Jai is driving along the highway at a speed of 41 miles per hour. This will be:
254 - 41h
Keilantra is 293 miles away from the stadium. Keilantra is driving at speed of 54 miles per hour. This will be:
293 - 54h
The equations will be:
254 - 41h = 293 - 54h
54h - 41h = 293 - 254
13h = 39
Divide
h = 39/13
h = 3
The number of hours is 3 hours.
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Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.
The city of Raleigh, NC charges $ 1.95 fee and $ 2.70 per mile for each cab ride.
The equation of Total Charges will be $1.95 + ($2.7 * x)
What is Linear Equation in One Variable?
A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable have the form ax + b = 0 and are solved using simple algebraic techniques.
Solution:
The equation of Total Charges will be
Let, the total distance in miles be x
Then,
Total Charges = $1.95 + ($2.7 * x)
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which equation in point-slope from is equivalent to y=-3/4x + 9?
A. y-9=-3/4(x-0)
B. y-1=-3/4(x-9)
C. y-3/4=9(x-0)
D. y-1=9(x+3/4)
Answer:
Step-by-step explanation:
I know that in point-slope form, the equation is y - y1 = m(x - x1)
Fill in y1 and x1 with the points given in the multiple choices.
If you look at Letter A, it shows the point (0,9). If you fill that in the formula. You solve the equation:
y - 9 = -3/4(x - 0)
y - 9 = -3/4x
+9. =. +9
y = -3/4x + 9
Therefore your answer is letter A.
The average height of children who are 2 years old is 34 inches. A random sample of 35 children who are 2 years old in a large daycare franchise is collected, and they are found to average 29.50 inches with a standard deviation of 1.70 inches. The researchers are suspicious that the children at the daycare are not growing as quickly as they should be.
a. Write the hypotheses.
b. Calculate the test statistic.
c. Calculate the P-value
d. What is the conclusion for the hypothesis test?
There is sufficient evidence to support the claim.
What is sufficient evidence ?
Sufficient evidence is admitted evidence that has enough overall weight, in terms of relevance and credibility, to legally justify a particular conclusion.
This is left tailed test .
The null and alternative hypothesis is ,
H0 : mu= 34
Ha :mu < 34
Test statistic(t) = (x)
n= root (29.5 - 34) / 1.70
root 35
Test statistic = -15.66
P-value = 0
Alpha = 0.05
P-value <Alpha
Reject the null hypothesis .
There is sufficient evidence to support the claim.
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Mickey Here Hi justice as more point because you deserve it
Answer:
second
Step-by-step explanation:
2x+5>7
2x>2
x>1
therefore, second
What is the remainder that the number 10^2023 leaves after division by 13?
Applying the property of exponents, the remainder that the number 10^2023 leaves after division by 13 is 9.
What is remainder?The remainder is the amount left over after a division operation.
What is exponent?An exponent is a number that indicates how many times a base number is used as a factor in a multiplication expression.
From the property of exponent:
We can rewrite 10^2023 as (10^13)^155 * 10^8:
10^2023 = (10^13)^155 * 10^8
We can then use the property of exponents to simplify:
10^2023 = (10^(13*155)) * 10^8
Since 10^13 is congruent to 1 mod 13, 10^(13*155) is congruent to 1 mod 13 as well. Therefore, 10^2023 is congruent to 10^8 mod 13.
We can find the remainder by calculating 10^8 mod 13:
10^8 = 100000000
After dividing 100000000 by 13, we get a remainder of 9.
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Deandre has a large collection of movies on DVD. In the past month, he has bought 11 DVDs that cost $27.95 each, 7 that cost $17.95 each, and
one that cost $7.95. How much has he spent on DVDs in the past month?
Answer:$441.05
Step-by-step explanation:
For this question you would multiply the amount of each DVD by the price and add them all up
like this:
11(27.95) +7(17.95)+1(7.95)=$441.05
In a certain rental shop, they have 63 vehicles. They allow you to rent bicycles and tricycles free for the first hour.If they had 149 tires in all, how many bicycles and tricycles do they have?
Answer:
There Are 40 Bicycles And 23 Tricycles
Step-by-step explanation:
Let, x be bicycles and y be tricycles
Condition 1;
: x + y= 63
: x =63-y
Condition 2;
Number Of Tires=149
:2x + 3y =149 [2x=Two Tires Of Bicycle And
3y=Three Tires Of Tricycle]
:x = 149-3y/2
Combination 1 & 2;
63-y = 149-3y/2
126-2y = 149-3y
y=23
x = 63-23
=40
transform the linear equation 12-4y=5x to slope and y-intercept form
Step-by-step explanation:
-4y = 5x - 12
4y = -5x + 12
y = -5/4x + 3
Question 1 of 10
What is the value of x ?
A. 160°
B. 50°
C. 55°
D. 20°
Answer:
it is B
Eplanation:
180-155=75 (straight line add up 180 degrees)
75+55+x=180
130+x=180(angles in triangle also add up 180 degrees)
x=180-130(rearranging formula)
x=50, which is option letter B