Answer:
Step-by-step explanation:
standard form is ax+b=0 that means the equation should be on the left side while the right side should always be 0
21. y+7=2 (move 2 to the left side) y+7-2=0 y+5=0
22. 2m=10 ... 2m-10=0
23. 5x + 3 ? im guessing there is a typo in the book here ? just write it 5x+3=0
24. 2y - 4 = y 2y-y-4=0 y-4=0
25. 5x+2 = 3 5x+2-3=0 5x-1=0
Simplify:
-y + 5 + 7y - 9
Answer: 6y-4
Step-by-step explanation:
Combine like terms
The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's diameter?
Answer:
6 cm
Step-by-step explanation:
A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.
The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)
The diameter is twice the radius:
d = 2 × (3 cm) = 6 cm
The dial's diameter is 6 cm.
A gardener already has 4 1/2 ft of fencing in his garden. He wants to fence in a square garden for his flowers. The length of one side of the garden will be 2 3/4 ft. How much more fencing will the gardener need to purchase?
The gardener will need to purchase an additional 6 1/2 ft of fencing to complete his square garden for his flowers.
You want to know how much more fencing the gardener will need to purchase if he already has 4 1/2 ft of fencing and
the length of one side of the square garden is 2 3/4 ft.
Since the garden is square, all sides have the same length. We know one side is 2 3/4 ft.
Multiply the length of one side (2 3/4 ft) by 4 to find the total amount of fencing needed for the entire garden:
2 3/4 × 4 = 11 ft.
Now, subtract the amount of fencing the gardener already has (4 1/2 ft) from the total amount needed (11 ft):
11 - 4 1/2 = 6 1/2 ft.
So, the gardener will need to purchase an additional 6 1/2 ft of fencing to complete his square garden for his flowers.
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Consider the point X at (0,21) and point Y at (88, -103). What is the coordinate of the midpoint of xy
Step-by-step explanation:
let M be the midpoint of x and y
xM= (xX+xY)/2 =(0+88)2=44
yM=(Yx+yY)/2=(21_103)/2=_41
M(44,_41)
Given that Ray B A bisects ∠DBC, which statement must be true?
B is the midpoint of DC.
Please help with this questions.
Answer:
11 m= 3 12 slope is 4 and y intercept is 2
Step-by-step explanation:
11 slope = gradient of a line formulae y2-y1 / x2 - x1
12-6 / 4-2 =3
12 slope is the gradient so and is found as m in the equation y=mx + c
so 4 is the slope and the y intercept is where x= 0 so y = 2
under what circumstances will the distribution of sample means be normal? a. only if the population distribution is normal b. if the sample size is greater than 30 c. it is always normal. d. if the population distribution is normal or if the sample size is greater than 30
The distribution of sample means will be normal under the following circumstances: if the population distribution is normal or if the sample size is greater than 30. This is represented by option (d).
The distribution of sample means is a probability distribution that represents the means of all possible samples that can be drawn from a population.
It is an important concept in statistics as it allows us to make inferences about a population based on a sample. The distribution of sample means will be normal if the population distribution is normal or if the sample size is greater than 30. If the population distribution is normal, the distribution of sample means will also be normal regardless of the sample size. This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution.However, if the population distribution is not normal, the distribution of sample means may not be normal, unless the sample size is sufficiently large (i.e. greater than 30). In this case, the sample means will be approximately normally distributed due to the Central Limit Theorem. It is important to note that other circumstances, such as skewness or outliers in the population, can also affect the distribution of sample means. Therefore, it is always important to assess the characteristics of both the population and the sample when making inferences.Know more about the Central Limit Theorem
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Perform the calculation using the correct order of operations. 5.25 41.8+ 34.1 = I
It's important to follow the order of operations to ensure accurate calculations. the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.
To perform the calculation using the correct order of operations, we need to follow the rules of precedence, also known as the PEMDAS rule. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the given expression step by step:
5.25 + 41.8 + 34.1
According to the PEMDAS rule, we need to start with any calculations inside parentheses, but there are no parentheses in this expression. Next, we move to addition and subtraction from left to right.
5.25 + 41.8 equals 47.05.
Now we add 34.1 to the result:
47.05 + 34.1 equals 81.15.
Therefore, the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.It's important to follow the order of operations to ensure accurate calculations.
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in the cash now lottery game there are 12 finalists who submitted entry tickets on time. from these 12 tickets, three grand prize winners will be drawn. the first prize is one million dollars, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. determine the total number of different ways in which the winners can be drawn. (assume that the tickets are not replaced after they are drawn.)
there are 1,320 different ways in which the winners can be drawn in the lottery game.
To determine the total number of different ways in which the three grand prize winners can be drawn, we can use the formula for combinations.
The number of ways to choose r items from a set of n items is given by the formula
nCr = n! / (r! × (n - r)!)
where n! represents the factorial of n, or n × (n-1) × (n-2) × ... × 2 × 1, and r! represents the factorial of r.
For the first prize, there are 12 possible winners, so there are 12 ways to choose the first prize winner.
For the second prize, there are 11 remaining finalists, since the first prize winner cannot win the second prize. So, there are 11 ways to choose the second prize winner.
For the third prize, there are 10 remaining finalists, since the first and second prize winners cannot win the third prize. So, there are 10 ways to choose the third prize winner.
The total number of different ways to choose the three grand prize winners is the product of the number of ways to choose each prize
12 × 11 × 10 = 1,320
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The width of a rectangle is 7x-7 feet and the length is 4x+9 feet , what is the perimeter of the rectangle??
Point N is on line segment MO. Given MO = 3x - 10, NO = x, and M N = 8,
determine the numerical length of MO.
Answer:
MO = 17
Step-by-step explanation:
First, you need to define what if the unknown x.
segment MN and NO are equal to MO.
thus, your equation for the combination is x +8
Now set the values equal to each other
x + 8 = 3x - 10 (subtract x from both sides)
8 = 2x - 10 ( get your x value alone, add 10 to both sides)
18 = 2x (simplfy)
x = 9
Now plug x value into MO
3 (9) - 10 = 17
Check with opposing equation:
9 + 8 = 17 √
Multiply the following and provide the product in standard from thank you
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
The number of pounds of dog food that a pet store has is represented by the equation y = -15 x + 430, where x represents the number of days that the store is open and y represents the pounds of dog food in stock in the store. How many pounds of dog food will the pet store have after 21 days? *
A. 92
B. 115
C. 315
D. 336
Answer:
bro its b
Step-by-step explanation:
please can someone help
Answer:
141 Degrees
Step-by-step explanation:
Sum of interior angles of a polygon = \((n-2) \times 180^{\circ}\)
(where n is the number of sides)
The given figure has 8 sides, therefore:
⇒ sum of interior angles = (8 - 2) × 180°
= 6 × 180°
= 1080°
To find x, sum all the given angles, equate to 1080°, then solve for x:
⇒ x + 162 + (x - 12) + (x + 30) + x + 133 + (x + 16) + 126 = 1080
⇒ 5x + 455 = 1080
⇒ 5x = 625
⇒ x = 125
Therefore, (x + 16) = 125 + 16 = 141°
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 185 fours. Find the experimental probability of not rolling a four, based on Jimmy’s experiment. Round the answer to the nearest thousandth.
In this case, the experimental probability is D. 0.860
Why is this so?First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.
In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.
Then, the probability of rolling a 5 will be equal to:
P1 = 140/1000 = 0.14
Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:
P2 = 1 - 0.14 = 0.86
then the correct option is D
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.
A. 0.140
B. 0.167
C. 0.667
D. 0.860
what is the defintion of place value
Answer:
The value of where a digit is in the number.
Step-by-step explanation:
The value of where a digit is in the number. Example: In 352, the 5 is in the "tens" place, so its place value is 10. Example: In 17.591, the 9 is in the "hundredths" place, so its place value is 0.01.
Happy Holidays!!
Find the surface area of each solid.
Answer:
232 in^2
Step-by-step explanation:
This rectangle has 6 surfaces:
Front: 10 x 8 = 80
Back: 10 x 8 = 80
Top: 10 x 2 = 20
Bottom: 10 x 2 = 20
Side: 8 x 2 = 16
Side: 8 x 2 = 16
Total surface area: 232 in^2
2) A geometric sequence begins with the term 1 and has a common ratio of
-2. What is the 6th term in this sequence?*
O 1/4
O 1/8
O 1/16
1/32
1 point plz hurry ASAP!
The weights of four puppies are shown in pounds
9.5
9 3/8
9.125
9 3/4
Which list shows these weights in order from greatest to least?
9 3/4 9.5 9 3/8 9.125
9.5 9 3/8 9 3/4
9.125 9.125 9 3/8 9.5 9 3/4 9 3/4 9 3/8 9.5 9.125
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
in exponential smoothing, which of the following values for α would generate the most stable forecast? 0.75 0.50 0.25 0.10 1.00
The value of α that would generate the most stable forecast is 0.10.
Exponential smoothing is a forecasting method that uses a weighted average of past observations to predict future values. The weight of each past observation decreases exponentially as it gets older. The value of the smoothing constant, α, determines how quickly the weights decay and thus how much emphasis is placed on recent observations versus past observations. A larger value of α means more weight is given to recent observations, resulting in a forecast that is more responsive to changes in the data but also more volatile. Conversely, a smaller value of α means less weight is given to recent observations, resulting in a forecast that is more stable but less responsive to changes in the data.
Therefore, in order to generate the most stable forecast, we would want to choose a smaller value of α. Among the options given, the value of α that would generate the most stable forecast is 0.10. This would give relatively less weight to recent observations and result in a smoother, less volatile forecast. However, it is important to note that the optimal value of α depends on the specific time series being forecasted and must be chosen based on empirical evaluation of the forecast accuracy.
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What would be the value of y in the equation: 2y + 7 = "-question" 4 options:y = 1y = 0y = "-7y"
The value of y in the equation 2y + 7 = "-question" can be determined by solving the equation.
How can we find the value of y in equation 2y + 7 = "-the question"?To find the value of y in equation 2y + 7 = "-question," we need to isolate y on one side of the equation. The first step is to subtract 7 from both sides to eliminate the constant term. This yields 2y = "-question" - 7. Next, we can simplify the right side of the equation by performing the necessary arithmetic. Finally, we divide both sides of the equation by 2 to isolate y. The result will be the value of y in terms of "-question" and 7. It is important to note that without knowing the specific value of "-question," we cannot determine the exact numerical value of y.
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A kite with a 166-foot string makes a 55 degrees angle with the
ground. What is the
height of the kite above the ground to the nearest foot?
A 136 ft.
B 164.6 ft.
C 149.9 ft.
D 133.4 ft.
The correct answer is option D: 133.4 ft. To find the height of the kite above the ground, we can use the trigonometric function tangent (tan).
the trigonometric function tangent (tan) which is defined as the ratio of the opposite side to the adjacent side in a right triangle.
In this case, the string of the kite represents the hypotenuse of the right triangle, and the angle of elevation (55 degrees) represents the angle between the ground and the string. The height of the kite above the ground is the opposite side.
Using the formula:
tan(angle) = opposite / adjacent
We have:
tan(55 degrees) = height / 166 ft
Solving for the height:
height = tan(55 degrees) * 166 ft ≈ 133.4 ft
The height of the kite above the ground, rounded to the nearest foot, is approximately 133.4 ft
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Lily is going to deposit $700 in the bank for 6 months. What is the amount of interest her account will earn its a 20% simple interest rate?
A farm has 8 cows, 28 chickens, 4 pigs, and 12 goats. which ratio is the
greatest?
a. number of pigs to number of chickens
b. number of goats to number of chickens
c. number of cows to number of goats
od. number of pigs to number of cows
Answer:
C
Step-by-step explanation:
ratio of pigs to chickens = 4/28, which simplifies to 1/12
ratio of goats to chickens = 12/28, which simplifies to 3/7
ratio of cows to goats = 8/12, which simplifies to 2/3
ratio of pigs to cows = 4/8, which simplifies to 1/2
since 2/3 is the largest, the answer is C
∠J
and ∠K
are consecutive angles in a parallelogram, m∠J=(3x+7)°
, and m∠K=(5x−11)°
.
Answer:
x = 23°
Step-by-step explanation:
In a parallelogram, sum of consecutive angles (adjacent angles) are supplementary.
m∠J + m∠K = 180
3x + 7 + 5x - 11 = 180
3x + 5x + 7 - 11 = 180
Combine like terms,
8x - 4 = 180
Add 4 to both sides,
8x = 180 + 4
8x = 184
Divide both sides by 8,
x = 184÷ 8
x = 23°
m∠J = 3x + 7
= 3*23 + 7
= 69 + 7
= 76°
m∠K = 5x -11
= 5*23 - 11
=115 - 11
= 104°
A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation σ = 30. (a) How large must n be if the length of the 95% CI is to be not greater than 60? (b) How large must n be if the length of the 99% CI is to be not greater than 60?
a. The sample size must be at least 8 to have a 95% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60. b. The sample size must be at least 22 to have a 99% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60.
a. The formula for finding the width of a confidence interval is:
Width of confidence interval = 2 × Zα/2 × σ/√n
where Zα/2 is the Z-score for the desired level of confidence.
For 95% confidence level, Zα/2 = 1.96.
Width of 95% confidence interval = 60σ = 30Zα/2 = 1.96
Substituting the given values in the formula:60 = 2 × 1.96 × 30/√nn = (2 × 1.96 × 30/60)²n = 7.84≈ 8
Therefore, the sample size must be at least 8 to have a 95% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60.
b. For a 99% confidence level, Zα/2 = 2.576
Width of 99% confidence interval = 60σ = 30Zα/2 = 2.576
Substituting the given values in the formula:
60 = 2 × 2.576 × 30/√nn = (2 × 2.576 × 30/60)²n = 21.16≈ 22
Therefore, the sample size must be at least 22 to have a 99% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60.
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what is the solution to this system of equations?
Answer: No solutions
Step-by-step explanation:
-2m + 5n = 6
-4m + 10n = 14
There are no solutions because when simplified down, the second equation is -2m + 5n = 7 which is not possible.
rewrite the following polynomial in standard form
Polynomial \($-1+x^3-\frac{1}{3} x^3$\) and its conventional form, \(x^5-\frac{x^2}{3}-1$$\) , are both used.
How did you write the polynomial in standard form?\($$-1+x^5-\frac{1}{3} x^2=x^5-\frac{x^2}{3}-1$$\)
steps
\($$-1+x^5-\frac{1}{3} x^2$$\)
\(\begin{aligned}& \frac{1}{3} x^2=\frac{x^2}{3} \\& =-1+x^5-\frac{x^2}{3}\end{aligned}\)
rephrase in proper grammar
\(=x^5-\frac{x^2}{3}-1$$\)
The term "polynomial" refers to a mathematical statement of one or more algebraic terms in which the variables are all of non-negative integer powers. Variables, fixed values, and exponents are all present in the terms. The degree 'n' standard form polynomial is Standard form is one method of expressing a polynomial. You must consider each term's degree in order to write any polynomial in standard form.
Next, list each phrase in order of degree, left to right, highest to lowest. An expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables is said to be a polynomial. Variables, which are sometimes known as indeterminates, and coefficients make up a polynomial.
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Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still achieved a 10% discount which and the amount paid by maria already with the discount
put the math account please
Answer:
0.6763154335
Step-by-step explanation:
because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.