Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
precalculus problem need help
1. <C= 90 degree
AC = 13.25 unit
<B= 60 degree
2. <C= 90 degree
AC = 13.
<B= 60 degree
1. Using Sine law
sin C/4 = sin 30/2 = sin B/ AC
so, sin C/4 = 1/4
sin C = 1
C= 90 degree
and, <B= 180 - 30- 90= 60 degree
So, sin 30/2 = sin 60/ AC
1/4 AC = √3/2
AC = 2√3
2. Using Sine law
sin 30/ 7.65 = sin B / 15.3
1/15.3 = sin B/15.3
sin B= 1
B = 90 degree
and, <C= 180 - 90 - 30 = 60
So, 1/15.3 = sin 60/ C
C = 13.25
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If a parabola's focus is at (−2, 5) and the directrix is at y = −1, what is the vertex form of the equation representing this parabola?
For the parabola equation in standard form
\(y=a(x-h)^2+k\)we know that the focus coordinate is
\((h,k+\frac{1}{4a})\)Since our focus is (-2,5), by comparing this coordinate with the last result, we can see that
\(\begin{gathered} h=-2 \\ 5=k+\frac{1}{4a} \end{gathered}\)Then, the possible solution has the form
\(\begin{gathered} y=a(x-(-2))^2+k \\ or\text{ equivalently} \\ y=a(x+2)^2+k \end{gathered}\)We can see tha the last option has this form. Lets corroborate that this is the correct choice. Then, we have that
\(\begin{gathered} a=\frac{1}{12} \\ \text{and} \\ k=2 \end{gathered}\)by substituting these values into the above equation:
\(5=k+\frac{1}{4a}\)we have
\(5=2+\frac{1}{4(\frac{1}{12})}\)which gives
\(\begin{gathered} 5=2+\frac{1}{\frac{1}{3}}=2+3 \\ \text{then} \\ 5=5 \\ \text{which corroborate the result.} \end{gathered}\)Therefore, the answer is the last option:
\(y=\frac{1}{12}(x+2)^2+2\)A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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need help fast pls anyone
Answer:
2048 in³
Step-by-step explanation:
Volume of sphere = (4/3) X π X r ³
= (4/3) (3) (8)³
= 2048 in³
If Jonathan has 2 times as many dimes as quarters and they have a combined value of 360 cents, how many of each coin does he have?
Answer:
16 dimes8 quartersStep-by-step explanation:
When ratios of quantities are given, it is often convenient to consider a group of objects in which the objects have that ratio.
How many groups?Here, we have 2 dimes for each quarter, so a group of 2 dimes and 1 quarter is a useful group for this problem. Its value is 2×$0.10 +0.25 = $0.45.
The total value of all of the groups is $3.60, so there must be ...
$3.60/($0.45/group) = 8 groups
The 8 groups of coins will have 16 dimes and 8 quarters.
What's the total amount of apples if 30 of them are 15%?
Answer:
200 apples
Step-by-step explanation:
30/n=15/100
30x100=3000
3000/15=200
Answer:
n =200
Step-by-step explanation:
\( \frac{30}{n} = \frac{15}{100} \\ \\ 30 \times 100 = 3000 \\ \\ 3000 \div 15 = 200\)
Cold weather can be especially hard on Sadie's grandfather, so Sadie is knitting him a striped scarf for his birthday. The scarf is almost finished when Sadie discovers a mistake! She has to unravel 0.75 of the scarf, and now the remaining part is only 4.75 long. Use an equation to find the length of the scarf before it's unraveled.
Length of scarf before unraveling = 4.75 + 0.75 = 5.5.
Equation: Length before unraveling = 4.75 + 0.75
Sadie is knitting a striped scarf for her grandfather for his birthday, but discovers a mistake and has to unravel 0.75 of the scarf. After unraveling, the remaining part of the scarf is 4.75 long. To calculate the length of the scarf before it was unraveled, we can use an equation. The equation we will use is Length before unraveling = 4.75 + 0.75. We can interpret this equation as the length before unraveling being equal to the length after unraveling plus the amount unraveled. Therefore, the length of the scarf before unraveling is 4.75 + 0.75, which is equal to 5.5. This equation is useful for finding the original length of the scarf, as it takes into account the amount that was unraveled. Therefore, the original length of the scarf is 5.5.
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Please look at the graphs in the photo. Thank you!
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
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Section 1
Iten
Iten
Calculator
Iten
Iten
A box of blocks contains 35 red, 40 blue, and 50 green blocks. If the box only contains red, blue, and green blocks, and a child randomly
selects a block, what is the probability the block is red?
Answer:
\(P(Red) = \frac{7}{25}\)
Step-by-step explanation:
Given
\(Red = 35\)
\(Blue = 40\)
\(Green = 50\)
Required
Determine the probability of red
\(P(Red) = \frac{n(Red)}{Total}\)
Substitute value for n(Red) and calculate Total
\(P(Red) = \frac{35}{35 + 40 + 50}\)
\(P(Red) = \frac{35}{125}\)
Divide numerator and denominator by 5
\(P(Red) = \frac{7}{25}\)
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
Help asap! Am=6 MB=4 AN=8
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
Which of the following statements is true about the numbers below?
(i)
(the digits cycle through repeatedly)
(ii)
(the number of
inbetween the
increases by one each time)
The statement that is true about the numbers above include the following: C. (i) is rational and (ii) is rational.
What is a rational number?In Mathematics and Geometry, there are six (6) common types of numbers and these include the following:
Irrational numbersIntegersReal numbersRational numbersNatural (counting) numbersWhole numbersIn Mathematics and Geometry, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 2/3, 0.12345678901234567890.
What is an irrational number?In Mathematics and Geometry, an irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11 or √11.
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Please hurry. It’s due in 20 minutes
Answer:
root(x+6) +3
Step-by-step explanation:
so you see that it is moved 2 left and 5 up
so root (x+6) +3
Determine whether the triangles are similar if so write a similarity statement. explaining your reasoning
Similarity s
Giving the following triangles
From the figure
Length IJ = Length HF
Length IK = Length = HG
Length JK = Length FG
Secondly, we need to find the scale factor
Since thet are both similar
\(\begin{gathered} \frac{HF}{IJ}\text{ = }\frac{HG}{IK}\text{ = }\frac{FG}{JK} \\ \frac{6}{4}\text{ = }\frac{7.5}{1.5}\text{ = }\frac{9}{6} \\ 1.5\text{ = 1.5 = 1.5} \end{gathered}\)They all have a common scale factor
\(\text{Therefore }\Delta IJK\text{ }\cong\Delta HFG\)Select the three equations that are correct.
6 × 9 = 54
8 × 4 = 34
42 ÷ 7 = 6
64 ÷ 9 = 7
56 ÷ 7 = 8
Answer:
6 × 9 = 54
42 ÷ 7 = 6
56 ÷ 7 = 8
Step-by-step explanation:
Given:
6 × 9 = 54
8 × 4 = 34
42 ÷ 7 = 6
64 ÷ 9 = 7
56 ÷ 7 = 8
Now it need to verify,
6 × 9 = 54 this is correct
42 ÷ 7 = 6 This is also correct
56 ÷ 7 = 8 This is correct
Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
For breakfast, Mr. Hill bought a cup of coffee for $1.39 and a bagel for $1.85. What was his total cost?
Answer:
$3.24
Step-by-step explanation:
Cost for the coffee + Cost for the bagel
$1.39 + $1.85
$3.24
Someone please answer Tysm
Answer:
4/p -2
Step-by-step explanation:
4/p - 2 isn't an eqaution, bc it doesn't have an equal sign.
This would be called an expression.
Answer:
4/p -2 is the answer.
Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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13. A particular amusement park ride will make 156 revolutions in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?
PLEASE answer quick and please add a clear explanation!
Answer: To find the number of revolutions the amusement park ride will make in 2 minutes, we first need to convert the time to seconds. Since there are 60 seconds in 1 minute, 2 minutes is equal to 2 * 60 = <<2*60=120>>120 seconds.
Next, we need to find the number of revolutions the ride makes per second. We can do this by dividing the number of revolutions by the time in seconds. In this case, the ride makes 156 revolutions in 180 seconds, so it makes 156 / 180 = <<156/180=0.87>>0.87 revolutions per second.
Finally, we can multiply the number of revolutions per second by the number of seconds in 2 minutes to find the total number of revolutions. Since there are 120 seconds in 2 minutes, the ride will make 0.87 * 120 = <<0.87*120=104.4>>104.4 revolutions in 2 minutes. Rounded to the nearest whole number, the ride will make 104 revolutions in 2 minutes.
1. An acrobat is on a platform that is 25 feet in the air. She jumps down
at an initial vertical velocity of 4 ft/s. Write a quadratic function to
represent the height h of the acrobat t seconds after the jump.
If a safety net is placed 5 feet above the ground, how long will it take
for her to land safely on the net?
It will take the acrobat 1/4 of a second to land safely on the net.
What is velocity?Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Option B is the correct answer.
We have,
The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,
while the alternative hypothesis states that it is different from 14 hours per week.
By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.
Thus,
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
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These are legs of a triangle
11.1
10.2
What is the hypotenuse
Answer:
c≈15.07
Step-by-step explanation:
c=a2+b2=11.12+10.22≈15.07481
Question 3 of 10
which choice is equivalent to the quotient
According to the property
below?
O A -5
B. 25
C5
OD. - 5
ES
Answer: D: Square Root Of 5
Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)
Help help help please in a hurry!!!!!!!!!!!!!!!!!!!
Answer:D
Step-by-step explanation:
please mark brainliest
PV = $250,000 / (1+0.065)^1 + $37,500 / (1+0.065)^2 + $180,000 / (1+0.065)^3 + $300,000 / (1+0.065)^4 + $750,000 / (1+0.065)^5 + $725,000 / (1+0.065)^6
The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.
Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.
The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.
To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.
Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.
To determine its present value, we divide it by the discount factor (1+0.065)²,
which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.
This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.
The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.
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Which of the following is a true statement?
3/4>9/12
3/5<4/7
6/7<5/8
5/12>3/8
Can any show me another one simple way to do this.
Answer:
The answer is the last one 5/12 > 3/8
Step-by-step explanation:
Convert the fractions to regular numbers so 5/12 just do 5 ÷ 12 and 3/8 do 3 ÷ 8 whatever side has the arrow opened to means that's should be the bigger number for example 2 > 1 is true because 2 is greater than 1 but 2 < 1 is false
Answer:
5/12>3/8
Step-by-step explanation:
you need a common denominator
you multiply 5/12 by 2 the top and the bottom to get 10/24
then you multiply 3/8 by 3 the top and the bottom to get 9/24
10/24>9/24
PLEASE WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS!!!! PLEASE TRY
Answer:
Because they both equal d, you can set them equal to each other:
\(941-12t=523+26t\\418 = 38t\\t = 11\)
Substitute t = 11 into the equation 523 + 26t = d:
\(523 + 26 *11 = d\\523 + 286 = d\\809 = d\)
There will be 809 DVDs and Blu-ray discs sold per month in 11 months.