Let's see what to do buddy...
_________________________________ Step (1)
First we must find the measure of x
\((3x - 5) + (x + 1) = 180\)
\(4x - 4 = 180\)
Both sides plus 4
\(4x = 184\)
Divided both sides by 4
\(x = \frac{184}{4} \\ \)
\(x = 46\)
_________________________________
Step (2)
Now we must find the RQS Angle measure :
Angle ( RQS ) = 46 + 1 = 47
_________________________________
Step (3)
QT bisects RQS ;
So the resulting angles are :
\( \frac{47}{2} = 23.5 \\ \)
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Jim's puppy weighs 2,268 grams, about how many ounces does the puppy weigh?
Answer: it weighs about 80 ounces
Step-by-step explanation:
Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
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Murphy purchases two bags of rice of weights 56 kg and 72 kg. Find the maximum value of weight which can measure the weight of the rice exact number of times.
Answer:
8
Step-by-step explanation:
In order to answer this question we need to find the greatest common divisor of the two quantities which will give us the maximum number by which both can be divided.
The greatest common divisor of a group of integers is the largest common divisor that divides each of the integers. The first step to find it is write down the integers as a product of primes, so we have:
\(56=(28)(2)=(14)(2)(2)=(7)(2)(2)(2)= 2^3\)·\(7\)
\(72=(24)(3)=8(3)(3)=2^3\)·\(3^2\)
Now, in order to find the gcd we are going to take the factors that they have in common. In this case they both share the \(2^3\).
Thus, \(2^3=8\) is the greatest common divisor and therefore the maximum value of weight which can measure the weight of the rice exact number of times.
Solve -11 > -1 - 2x solve and check your answer
Answer:
x>5
Step-by-step explanation:
-11>-1-2x
2x>-1+11
2x>10
x>5
Answer:
5 > x
Step-by-step explanation:
-11 > -1 -2x ---> plus one on each side---> -10 > -2x ----> divide by -2 --> 5 > x
Find the inverse of the function 3+4x/1-5x
Answer:
the inverse of the function f^-1(x)=(x-3)/(4+5x)
Step-by-step explanation:
( 3+4x)/(1-5x)
y=4x+3/1-5x swap the variables
x=4y+3/1-5y solve for y
y=x-3/4+5x
The inverse of a function is :y=x-3/4+5x
What is inverse of a function?
The inverse function returns the original value for which a function gave the output.
If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.
Steps are:
How do you solve inverse functions step by step?Finding the Inverse of a FunctionFirst, replace f(x) with y . Replace every x with a y and replace every y with an x .Solve the equation from Step 2 for y . Replace y with f−1(x) f − 1 ( x ) . Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.for example:
Suppose, f(x) = 2x + 3 is a function.
Let f(x) = 2x+3 = y
y = 2x+3
x = (y-3)/2 = f-1(y)
This is the inverse of f(x).
Given function:
f(x)= ( 3+4x)/(1-5x)
now, swap the variables x and y.
y=4x+3/1-5x
Now solving for y
x=4y+3/1-5y
y=x-3/4+5x
Hence, the inverse of the function f^-1(x)=(x-3)/(4+5x).
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How many decimal places are in the product of 1.91 and 2.3? hurry dont have a lot of time!!
Answer:
2 and 1
Step-by-step explanation:
1.91 - 2 decimals
2.3 - 1 decimal
Answer:
3
Step-by-step explanation:
1.91*2.3=4.393
sue bought triangular shaped piece of wood with a height is 6 inches and a base of 2 inches she plans t cover the front with a piece of fabric how much fabric will she need?
Sue required 6 in² piece of fabric to cover the triangular shaped piece of woods.
What is termed as the triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.The sum of a triangle's three interior angles is always 1800.The sum of any two triangle sides is always larger than the length of a third side.A triangle's area is equal to half the product of its base as well as height.As per the given question,
The dimensions for the triangular shaped piece of wood are-
Height = 6 inchesBase = 2 inchesThen, the area of the fabric to cover the wood is-
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 2 x 6
Area of triangle = 6 in²
Thus, Sue required 6 in² piece of fabric to cover the woods.
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Choose the answer to complete each statement.
The slope of the line is ___.
The y-intercept is at ___.
The graph represents the function ___.
Answer:
Step-by-step explanation:
slope of line = 7/3
y-intercept is = 7
Help!
Expand and simplify 4(g+5)+5(g+4)
THE ANSWER IS 9g+40,
solution attached. Thank you!
HOW MANY solutions does this equation have?
d2=0
What inverse operation should be used to isolate the variable in the equation 10 × b = 90?
Sal elrove 3000 miles in 75 hours. At this rate how long will it take to drive 4000 miles
Answer:
Step-by-step explanation:
First, we need to find the rate. miles/hours. 3000/75 = 40mph (miles per hour). to find the answer we need to divide the rate by the distance they want us to find. to see a deeper explanation of why scroll past the answer. 4000/40 = 100 hours.
deeper explanation:
we can set the numbers given to us equal to what we are looking for.
miles/hour
3000/75 = 4000/x x being the time we are looking for
cross multiply 3000x=300000
divide by 3000 x=100 hours
A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of
The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.
To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.
To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).
By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.
Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.
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Polynomial Regression: Method of Least Squares My Solutions Problem Description: Read Chapter 15, "General Linear Least-Squares and Nonlinear Regression," from Chapra's textbook and watch/review Lecture 11. Using the same approach as was employed to derive Eqs. (14.15) and (14.16), derive the least-squares fit of the following model: y = a1*x + a2*x^2 That Is, determine the coefficients that result in the least-squares fit for a second-order polynomlal with a zero Intercept.
To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.
The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:
SSR = ∑(yi - (a1xi + a2xi^2))^2
To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.
Partial derivative with respect to a1:
∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0
Partial derivative with respect to a2:
∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0
Expanding the above equations:
∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)
∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)
Now, let's solve these equations to find the values of a1 and a2.
From equation (1):
a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)
From equation (2):
a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)
We can express equations (3) and (4) in matrix form as:
| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |
| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |
Solving this system of linear equations will give us the values of a1 and a2.
Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.
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3. the table below shows world population size from different points in history. create a function to model this data. what type of model best fits the data? what would the expected world population be in 2017? research and compare your prediction with the known value.
A polynomial regression model is a good choice for this data, as it can fit the trend of increasing population growth over time.
What do you mean by function?A function is a mathematical concept that assigns a unique output value for each input value.
In mathematical notation, a function is usually expressed as "f(x)" where "x" is the input and "f(x)" is the corresponding output. For example, a function could be defined as f(x) = x^2, which means that for any value of x, the function will calculate and return the square of that value.
To model the world population data, we can use a mathematical function to fit the data points. A polynomial regression model is a good choice for this data, as it can fit the trend of increasing population growth over time.
To find the expected world population in 2017, we would need to estimate the polynomial regression model using the data points provided and then evaluate the model at the year 2017.
Research shows that the actual world population in 2017 was approximately 7.5 billion, which is higher than our estimated value based on the limited data points provided. This highlights the importance of considering additional factors and data when making predictions about the world population.
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The complete question is
solve pls brainliest
Answer:
mixed number: 2 1/4
improper fraction: 9/4
Answer:
mixed number: 2 1/4
improper fraction: 9/4
Step-by-step explanation:
hope it helps
would appreciate brainly
6. Mr. Lee ordered 45 points of milk for the fourth - grade party. There are 96 fourth graders and each is supposed to get 1 cup of milk.
a. Did Mr. Lee order the correct amount of milk?
b. if so, explain why you think he is correct. if not, how many pints of milk should he have ordered? ------------
7. Daphne and Jordan made jam to sell at the market. Their jam is sold in pint - size jars. They made 137 quarts but only sold 59 quarts. How many pint - size jars are left? --------
8. james had a 3-quart water bottle. Eileen bought 1-gallon jug. whose container holds more cups? ------ How many more? ------- cups
please, please help, will give brainliest if correct. by the way this is 4th grade math.
Answer:
6. (a) No Mr Lee did not order the correct amount of milk.
(b)Mr Lee should have ordered for 48 pints of milk.
7. 156 pints sized jars
8. Eilleen's gallon can hold more cups that James's 3 quart water bottle.It can hold 4 more cups
Step-by-step explanation:
6. There are 96 fourth graders and each is supposed to get 1 cup of milk.
Hence, the number of cups of milk for all the fourth graders at the party is
96 × 1 cup of milk = 96 cups of milk.
Mr. Lee ordered 45 pints of milk for the fourth - grade party.
We have the conversion rate:
1 cup = 0.5 pints
Hence
1 cup = 0.5 pints
96 cups of milk = x
Cross Multiply
1 cup × x = 96 cups of milk × 0.5 pints
x = 96 cups of milk × 0.5 pints/1 cup
x = 48 cups of milk
a. Did Mr. Lee order the correct amount of milk?
No Mr Lee did not order the correct amount of milk.
b. if so, explain why you think he is correct. if not, how many pints of milk should he have ordered?
Mr Lee should have ordered for 48 pints of milk.
7. Daphne and Jordan made jam to sell at the market. Their jam is sold in pint - size jars.
They made 137 quarts but only sold 59 quarts.
The amount of quarts left is calculated as: 137 quarts - 59 quarts
= 78 quarts
We have conversion rate of
1 quart = 2 pints
The number of pint - size jars that are left is calculated as:
1 quart = 2 pints
78 quarts = x
Cross Multiply
1 quart × x = 78 quarts × 2 pints
x = 78 quarts × 2 pints/1 quart
x = 156 pints
The number of pint - size jars that are left 156 pints
8.
For James
James had a 3-quart water bottle.
1 quart = 4 cups
3 quarts = x
Cross Multiply
1 quart × x = 3 quarts × 4 cups
x = 3 quarts × 4 cups/1 quart
x = 12 cups
Hence, James 3 quart water bottle can hold 12 cups
For Eileen
Eileen bought 1-gallon jug.
1 gallon = 16 cups
Hence, Eileen's gallon can hold 16 cups
The difference between both containers is:
16 cups - 12 cups = 4 cups
Therefore, Eileen's gallon can hold more cups that James's 3 quart water bottle
It can hold 4 more cups
Calculate the area and perimeter of this rectangle.
Answer:
Area: 391.92 ft²
Perimeter: 84.4 ft
Step-by-step explanation:
Area of rectangle = L × W
We Take
13.8 × 28.4 = 391.92 ft²
Find the Perimeter of the Rectangle
We Take
28.4 + 13.8 + 28.4 + 13.8 = 84.4 ft
So, Area: 391.92 ft²
Perimeter: 84.4 ft
Answer:
Area = 391.92 square feet
Perimeter = 84.4 feet
Step-by-step explanation:
The area of a rectangle is the product of its width and length.
The perimeter of a rectangle is twice the sum of its width and length.
Given the width of the rectangle is 28.4 feet and its length is 13.8 feet:
\(\begin{aligned}\textsf{Area of the rectangle}&=\sf width \times length\\&=28.4 \times 13.8\\&=391.92 \sf \;\;square\;feet\end{aligned}\)
\(\begin{aligned}\textsf{Perimeter of the rectangle}&=\sf 2(width +length)\\&=2(28.4 +13.8)\\&=2(42.2)\\&=84.4 \sf \;\;feet\end{aligned}\)
The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
Answer:
13
Step-by-step explanation:
Area=½×b×h
32.5=½×b×5
32.5=5/2b
To get be multiply each side by reciprocal of 5/2 which is 2/5
b =13
FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.
Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.
Step-by-step explanation:
The measure of angle 1 should be 80 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.
The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.
Therefore 30° + m ∠1 + 70° = 180°.
100 + m ∠1= 180°.
So, m ∠1= 80°.
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nce
et
her
er
8
8. Adalia bought 3 slices of pepperoni pizza, 2
slices of cheese pizza and 3 fountain drinks.
The sales tax was $1.61. Adalia paid with two
$20 bills. How much change should Adalia
receive?
ITEM
Cheese Slice
Pepperoni Slice
PRICE
$3.45
$3.75
The change Adalia will receive is $1259.
Adalia bought 2 slices of cheese pizza, 3 slices of pepperoni pizza, and 3 fountain drinks.
The sales tax is $1.61.
The table shows the price for different items,
ITEM PRICE
Cheese Slice $3.45
Pepperoni Slice $3.75
Fountain Drink $2.55
The total cost to buy 3 slices of pepperoni pizza, 2 slices of cheese pizza, and 3 fountain drinks.
Total cost = 3 slices of pepperoni pizza + 2 slices of cheese pizza + 3 fountain drinks + sales tax
Total cost = 3 × $3.75 + 2 × $3.45 + 3 × $2.55 + $1.61
Total cost = $11.25 + $6.9 + $7.65 + $1.61
Total cost = $25.8 + $1.61
Total cost = $27.41
Now, Adalia pays with two $20 bills.
$20 + $20 = $40
Therefore, the change Adalia will get is:
= $40 - $27.41
= $12.59
The amount of change Adalia will receive is $12.5.
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Help ASAP! Find the measure of Arc AP.
Answer:
57
Step-by-step explanation:
<=1/2(AP-BN)
12=1/2(x-33)
(2) 12=1/2(x-33) (2)
24=x-33 24+33
57=x
57=AP
can someone please help me(10 points will give brainliest!!!)
Answer:
$2.6015900 toysStep-by-step explanation:
You want to know the meaning of D(2.60) = 159 if D(p) tells you the number of toys demanded at price p in hundreds.
Pattern matchingCompare D(p) to D(2.60) and you see that p=2.60. The problem statement tells you p is the price. This means ...
the price is $2.60The problem statement tells you that D(p) is the number of toys in hundreds. When D(p) is 159, the demand is 159 hundred toys.
the demand is 15900 toys<95141404393>
which of the following situations can be modeled by uniform distribution? when each value of a continuous random variable is not equally likely to occur when each discrete value is equally likely to occur when each value of a continuous random variable is equally likely to occur salary of the employees in an organization
The situations that can be modeled by uniform distribution include;
Option 2) is: When each discrete value is
equally likely to occur.
Option 3) is: When each value of a continuous random variable is equally likely to occur.
What is a uniform distribution?Since each value has an equal chance of occurrence, thus this situation can be modelled by Uniform distribution.
Since each value of a continuous random variable is equally likely to occur, that it follows a continuous uniform distribution.
A uniform distribution is a type of probability distribution in statistics in which all outcomes are equally likely. A deck of cards has uniform distributions because the chances of drawing a heart, a club, a diamond, or a spade are all equal. When you sample a random element, you do so according to some distribution.
The term "uniformly" refers to sampling from a uniform distribution, i.e., from a set in which drawing each element is equally likely. In statistics, it is a type of probability distribution in which every possible outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is constant.
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ama is four times as old as akua in ten years time, ama will be twice as old as akua find their ages
Answer:
Akua now -- x
Ama now -- 4x
Akua in 10 years ---- x+10
Ama in 10 years ---- 4x+10
4x+10 = 2(x+10)
solve for x
let Ama's age be X and Akua's age be Y
X=4Y.......
X+10=(Y+10)2......
4Y+10=2Y+20
4Y-2Y=20-10
2Y=10 divide both side by 2
2Y/2=10/2
Y=5
X=4x5
X=20
therefore Ama =20years and Akua=5years
hope it helps..
If m<IHF=75°, then what is m<EHK?
Simply here we can see ID is a straight line.
So, angle IHL + angle EHK = 180°
or, 75° + angle EHK = 180°
or, angle EHK= 105°
Hope it helps uh.
1. why is the range the most convenient measure of dispersion, yet the most imprecise measure of variability? when would you use the range?
The range is the most convenient measure of dispersion because it is simple to calculate and understand. The range is the most imprecise measure of variability because can be greatly affected by outliers or extreme values and may not accurately reflect the true variability of the data.
The range is used to evaluate a small data set such as the grades of a small group of students.
Why is the range the most convenient measure of dispersion, yet the most imprecise measure of variability?The range is the difference of the maximum and minimum values of a data set. The range is calculated by subtracting the smallest value from the largest value in a data set.
For example, if the smallest value in a data set is 2 and the largest value is 10, the range would be 8 (10-2=8).
However, the range is also the most imprecise measure of variability because it only takes into account the two extreme values in the data set and does not consider the values in between.
The range is most useful when you want to quickly assess the dispersion of a data set or when the data set is small and does not have any outliers. It is also useful when you want to compare the dispersion of two or more data sets. However, if the data set is large or has outliers, it is better to use other measures of dispersion and variability, such as the standard deviation or interquartile range.
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Brainliest and 40 points! Hurry!
Answer: 6
Step-by-step explanation:
Dividing a number by 2 is the same as multiplying that number
by:
Which of the following values will result in f(x)=10? F(x)=1/2x+8
A. F(-2)
B. F(-4)
C. F(4)
D. F(13)