Answer:
5, 12, 6, 4, 6, 5
Step-by-step explanation:
The nearest square root to 28 is 25, which is 5.
The nearest square root to 135 is 121, which is 12.
The nearest square root to 38.7 is 36, which is 6.
The nearest cubic root to 51 is 64, which is 4.
The nearest cubic root to 200 is 216, which is 6.
The nearest cubic root to 95 is 125, which is 5.
Find the area and circumference of a circle with a diameter of 10 in. Round to the nearest tenth for both values.
Answer: area = 0.1 m^2
Circumference = 0.8 m
Step-by-step explanation:
1 in = 0.0254 m
5 in = 0.0254 m × 5
5 in = 0.127 m
r = 0.127 m
Area of the circle = π r^2
= π × 0.127^2
= 0.05 m^2
=0.1 m^2
Circumference of the circle = 2 π r
= 2× π × 0.127
= 0.798 m
= 0.8 m
Answer:
1. A = 78.5 in²2. C = 31.4 inStep-by-step explanation:
1. area of a circle = πr²
2. circumference of a circle = 2πr
where diameter = 10 in.
radius = 10 / 2 = 5 in
1. area of a circle = π(5)²
= 78.5 in²
2. circumference of a circle = 2πr
= 2π(5)
= 31.4 in
Got any easy question to do.
Will give, Branliest.
Thanks,
:)
Answer:
10g
Step-by-step explanation:
The apple crumble recipe serves 6 people.
Natalie wants to make it so that it serves 2 people.
6/2 = 3
Which means that the original recipe is 3 times of what Natalie wants.
So if you just divide the original recipe by 3, you can get what Natalie wants.
30g / 3 = 10g
Natalie should use 10g of butter.
Answer:
275g
Step-by-step explanation:
Divide the amount of apple crumble left from the 2x you gave to your friends.
550 Divided By 2= 275g
Please help me it’s due soon!
Answer:
Step-by-step explanation:
The standard equation for a parabola is \(y=x^2\)
The given equation is: y = 2(x+2)(x-2)
The given equation is factored out. Since it is factored, we can set each x expression to zero, to solve for the x intercepts.
x+2 = 0
-2 -2
x = -2
x-2 = 0
+2 +2
x = 2
We can therefore graph, (-2, 0) and (2, 0), because we know that it is the x intercepts of the given quadratic function.
to find the vertex, you will take both x intercepts, divide them by two, and that will get you the x cooridnate. Following that you can plug in that value as x into the equation solve for the y coordinate.
\(\frac{(-2 + 2)}{2} = 0\\\\x=0\\y = 2(x+2)(x-2)\\\\y = 2(0+2)(0-2)\\y=-8\\\\vertex = (0, -8)\)
finally graph that point and create the parabola shape. If you'd like to make your parabola more accurate, you can always make a t chart of x and y values. and plug in x values into the equation to find the other y values.
I've attached a graph of the given parabola.
a yard width is 2 less than it's length. If the perimeter of the yard is 20 feet determine the length and the width of the yard
Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
a sample of 51 observations will be taken from an infinite population. the population proportion equals 0.85. the probability that the sample proportion will be between 0.9115 and 0.946 is
The probability that the sample proportion will be between 0.9115 and 0.946 from an infinite population with a known population proportion of 0.85 is required.
The given problem can be solved by using the Central Limit Theorem (CLT) for a sample proportion. Since the sample size is large (n = 51) and the population is infinite, we can assume that the distribution of the sample proportion is approximately normal.
The mean of the sample proportion is equal to the population proportion, which is 0.85. The standard deviation of the sample proportion is calculated using the formula:
σp = sqrt[p(1-p)/n] = sqrt[(0.85)(0.15)/51] = 0.0707
To find the probability that the sample proportion falls between 0.9115 and 0.946, we need to standardize the sample proportion using the formula:
z = (p - μp)/σp
Where μp is the mean of the sample proportion and σp is the standard deviation of the sample proportion.
z1 = (0.9115 - 0.85)/0.0707 = 0.88
z2 = (0.946 - 0.85)/0.0707 = 1.35
We can use a standard normal distribution table or a calculator to find the probability that the sample proportion falls between these two z-scores.
P(0.88 < z < 1.35) = P(z < 1.35) - P(z < 0.88) = 0.9115
Therefore, the probability that the sample proportion will be between 0.9115 and 0.946 is 0.9115
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Simplify. (-2)-³
8
1/8
-8
-1/8
Answer:
\(-\frac{1}{8}\)
Step-by-step explanation:
Assuming you mean
(- 2)⁻³
- 0.125
\(-\frac{1}{8}\)
Answer:
-8
Step-by-step explanation:
see image below:)
can someone please help me
Answer:
x squared, i dont know how to do the lil 2 on a computer lolz
Kristin wants to buy a pair of jeans that cost $25. she gets a 20% discount since she works at the store. she must pay 6% sales tax. How much will she pay for the jeans
Kristin will pay 21.20 for the jeans after the discount and sales tax are applied.
The first step is to calculate the discount Kristin will receive:
Discount = 20% of 25 = 0.20 x 25 = 5
Now subtract the discount from the original price to find the sale price:
Sale price = 25 - 5 = 20
Next, calculate the amount of sales tax Kristin will have to pay on the sale price:
Sales tax = 6% of 20 = 0.06 x 20 = 1.20
Finally, add the sale price and sales tax to find the total cost:
Total cost = 20 + 1.20 = 21.20
Therefore, Kristin will pay 21.20 for the jeans after the discount and sales tax are applied.
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Find the probability of randomly selecting 3 red pencils from a box containing 5 red, 3 blue, and 4 green pencils.
The probability of selecting 3 pencils from a box of 5 red , 3 blue, 4 green pencils is 60/1320.
Given that box contains 5 red pencils, 3 blue pencils abd 4 green pencils.
We have to calculate the probability that 3 red pencils are selected from box. Probability is the likeliness of happening an event among all the events possible.It lies between 0 and 1. The formula of calculating probability is as under:
Probability = number of items/ total items.
Number of pencils in box=12
Number of red pencils=5
Number of blue pencils=3
Number of green pencils=4
Probability of randomly selecting 3 red pencils will be 5*4*3/12*11*10 if pencil is not replaced after drawn of pencil.
=60/1320
=1/22
Hence the probability that 3 red pencils are selected is 1/22.
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Sadie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission for every computer sale she makes. Let PP represent Sadie's total pay on a day on which she sells xx computers. The table below has select values showing the linear relationship between xx and P.P. Determine how much money Sadie would be paid on a day in which she sold 3 computers.
According to the table, Sadie's total pay for selling 3 computers can be found by looking at the row where x = 3. The corresponding value in the P column is $60, which means Sadie would make $60 in total pay on a day in which she sells 3 computers.
The table shows a linear relationship between the number of computers sold and Sadie's total pay. The base pay amount is $30, which is the y-intercept of the linear function. The commission rate is $10 per computer sold, which is the slope of the function. This means that for every computer Sadie sells, she earns an additional $10 in commission. To find Sadie's total pay for any given number of computers sold, you can use the equation P = 10x + 30, where x is the number of computers sold and P is the total pay. Therefore, if Sadie sells 3 computers, her total pay would be 10(3) + 30 = $60.
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2 questions correct anwser gets brainlyess
Answer:
Question 1: x=55Question 2: m∠A=45°Step-by-step explanation:
Question #1
- Since it is an isosceles triangle, this means that the base angles have the same value.
- The angle sum is 180°
Solve
2x+35+35=180
2x+70=180
2x=110
x=55
Question #2
- Since it is given there is a right angle, this means the angle is 90°
- The angle sum is 180°
Solve
5x+5x+90=180
10x+90=180
10x=90
x=9
It asked to find m∠A, which is 5x. So 5x=5(9)=45°
Hope this helps!! :)
Please let me know if you have any questions
The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"
The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.
Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.
For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.
It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
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can someone help me with this one question pls i will give 50 points
Step-by-step explanation:
Answer: No solution
Desmos Graphing Calculator is a great way to check these things. I'm not a 100% sure on my calculations, but I know Desmos is.
What a equation of 4 less than a number n is -15
Answer:
n-4=-15
Step-by-step explanation:
Find the five-number summary and draw the Box-and-Whisker Plot. 2 (a) 39, 36, 30, 27, 26, 24, 28, 35, 39, 60, 50, 41, 35, 32, 51. (b) 171, 176, 182, 150, 178, 180, 173, 170, 174, 178, 181, 180.
(a) The five-number summary for the given data set is minimum = 24, first quartile (Q1) = 27, median (Q2) = 35, third quartile (Q3) = 41, and maximum = 60. The Box-and-Whisker Plot can be drawn using these values to visualize the distribution of the data.
(b) The five-number summary for the given data set is minimum = 150, Q1 = 170, median = 176, Q3 = 180, and maximum = 182. The Box-and-Whisker Plot can be created using these values to represent the distribution of the data.
(a) To find the five-number summary and draw the Box-and-Whisker Plot for the data set:
1. Sort the data in ascending order: 24, 26, 27, 28, 30, 32, 35, 35, 36, 39, 39, 41, 50, 51, 60.
2. Identify the minimum and maximum values: Minimum = 24, Maximum = 60.
3. Calculate the median (Q2), which is the middle value of the sorted data set: Median = 35.
4. Calculate the first quartile (Q1), which is the median of the lower half of the data set: Q1 = 27.
5. Calculate the third quartile (Q3), which is the median of the upper half of the data set: Q3 = 41.
6. Plot the Box-and-Whisker Plot using the calculated values: Draw a number line, mark the positions of Q1, Median, and Q3, and connect them to form a box. Add whiskers (lines) extending from the box to the minimum and maximum values.
(b) To find the five-number summary and draw the Box-and-Whisker Plot for the second data set:
1. Sort the data in ascending order: 150, 170, 171, 173, 174, 176, 178, 178, 180, 180, 181, 182.
2. Identify the minimum and maximum values: Minimum = 150, Maximum = 182.
3. Calculate the median (Q2), which is the middle value of the sorted data set: Median = 176.
4. Calculate the first quartile (Q1), which is the median of the lower half of the data set: Q1 = 170.
5. Calculate the third quartile (Q3), which is the median of the upper half of the data set: Q3 = 180.
6. Plot the Box-and-Whisker Plot using the calculated values: Draw a number line, mark the positions of Q1, Median, and Q3, and connect them to form a box. Add whiskers (lines) extending from the box to the minimum and maximum values.
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Let x(l) be a band-limited signal with absolute bandwidth B Hz For each of the signals below determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B (a) x(0)+x(t-1) dx(t) dt (o) x) Justify your answers.
Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.
Let x(l) be a band-limited signal with absolute bandwidth B Hz. For each of the signals below, we need to determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B.
a) x(0) + x(t - 1)dx(t)dt:For this signal, let us apply the Fourier transform. The Fourier transform of the first term is 2πX(ω)δ(ω), and that of the second term is e^(-jω)X(ω).
Thus, X(ω) = 2πX(ω)δ(ω) + e^(-jω)X(ω)On rearranging this expression, we get: X(ω) = [1 / (1 - 2πδ(ω))]e^(-jω)Therefore, the signal is not absolutely band-limited because it has components at all frequencies.
Hence, the Nyquist sampling rate cannot be determined.b) x:For this signal, let us consider its Fourier transform. Its Fourier transform will be a scaled version of the Dirac comb function, centered at ω = 0, with a spacing of 2π. Hence, X(ω) = 2πBδ(ω).
The signal is absolutely band-limited with absolute bandwidth B Hz, and hence, the Nyquist sampling rate will be 2B. The Nyquist sampling rate is twice the absolute bandwidth, and so, the sampling rate for this signal will be 2B Hz.
Thus, the answer to the question is as follows:Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.
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It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.
Answer:
-2.5x < -20
Step-by-step explanation:
x represents the number of hours that must pass for the temperature to drop below −20°C.
A small business has 50 total employees: 35 part-time and 15 full-time. What percent of the employees are full-time?
Answer: 30%
15/50=.3
30%
I hope this is good enough:
The polynomial 2x³ + qx² + rx + 2 has a
factor (x - 1) and leaves a remainder of
12 when divided by (x - 2). Find the
constants q and r and hence the other
factors of the polynomial.
Answer:
q = 1 , r = -5
other factors of polynomial:
(2x - 1) & (x + 2)
Step-by-step explanation:
In the first part, substitute x = 1 make it equal to 0.
Substitute x = 2 and make it equal to 12.
Rearrange both, until you have two linear equations.
Solve the set of simultaneous equation to find q and r .
Second part place the value of q and r to have the full polynomial.
Carry out long division, dividing the polynomial by the factor that's stated in the question (x - 1) and you will have a quadratic equation.
Factorise the quadratic equation to have the two other factors of the polynomial.
Hope this helps:))
simplify (a+b) ²-2ab
Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
what is 40 x 90 in multiplacation
Answer:
3600
Step-by-step explanation:
We multiple 40 x 90 which is equal to 4 x 10 x 9 x 10.
4 x 9 = 36 and 10 x 10 = 100, so 40 x 90 = 36 x 100 = 3600.
Answer:
The answer is 3,600
Step-by-step explanation:
40x90=3,600
Look at picture for step by step!
Hope this helps!
By: BrainlyAnime
Brainliest would be appreciated!
3. if kx² + 2x + k = -kx have equal roots, find the values of k.
Answer:
k = - \(\frac{2}{3}\) , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - \(\frac{2}{3}\)
k - 2 = 0 ⇒ k = 2
Please show work on how to get these answers
The surface area and the volume of each solid are listed below:
Case 23
A = 216 + 153√3 cm² = 481 cm², V = 324√3 cm³ = 561.18 cm³
Case 13
A = 575π m² = 1806.42 m², V = 4000π / 3 m³ = 4188.79 m³
How to determine the surface area and the volume of a solid
In this problem we must determine the surface area and the volume of each of the two solids, the following area and volume formulas are listed below:
Triangles
A = 0.5 · w · h
Rectangle
A = w · h
Circle
A = π · r²
Surface of a hemisphere
A = 2π · r²
Surface of the inclined section of a cone
A = π · r · l
Lateral surface of a cylinder
A = 2π · r · l
Volume of a prism
V = A' · l
Volume of a hemisphere
V = (2π / 3) · r³
Volume of a pyramid
V = (1 / 3) · A' · l
Where:
w - Widthh - Heightr - Radiusl - LengthA' - Base areaNow we proceed to determine the surface area and the volume of each solid:
Case 23
Surface area
A = (9 cm) · (8 cm) + (9√3 cm) · (8 cm) + (18 cm) · (8 cm) + (9 cm) · (9√3 cm)
A = 72 cm² + 72√3 cm² + 144 cm² + 81√3 cm²
A = 216 + 153√3 cm²
A = 481 cm²
V = 0.5 · (9 cm) · (9√3 cm) · (8 cm)
V = 324√3 cm³
V = 561.18 cm³
Case 13
Surface area
A = 2π · (5 m)² + 2π · (5 m) · (45 m) + π · (5 m) · (15 m)
A = 575π m²
A = 1806.42 m²
Volume
V = (2π / 3) · (5 m)³ + π · (5 m)² · (45 m) + (π / 3) · (5 m)² · (15 m)
V = 4000π / 3 m³
V = 4188.79 m³
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6/2(1+2)
is it 9, or 1?
Reason:
PEMDAS says that we first evaluate what's in the parenthesis
6/2(1+2) = 6/2*3
Then we evaluate the division operation first before multiplying later. The "M" and "D" of PEMDAS are on the same precedent level or operation level. The rule is to evaluate from left to right when faced with these two operations together.
6/2*3 = 3*3 = 9
If the original expression was 6/( 2(1+2) ) then the answer would be 1 since
6/( 2(1+2) ) = 6/( 2(3) ) = 6/6 = 1
To begin a bacteria study, a petri dish had 1700 bacteria cells. Each hour since, the number of cells has increased by 2. 2%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
To find the exponential function showing the relationship between y and t given that a petri dish had 1700 bacteria cells and the number of cells has increased by 2.2% each hour,
The following steps should be followed:
Step 1: Determine the exponential function of the form y = a * b(t).
Step 2: Determine the value of b
Step 3: Determine the value of a given the value of b and y.
Step 1: Determine the exponential function of the form y = a * b(t).
Since the function represents an exponential growth of bacteria cells, the function will take the form:
y = a * b(t), where: y = number of bacteria cells, a = initial amount of bacteria cells, b = rate of growth of bacteria cells t = number of hours since the start of the study
To find the value of a, use the fact that there were 1700 bacteria cells at the start of the study.
Thus, a = 1700, Therefore: y = 1700 * b(t)
Step 2: Determine the value of b. The number of cells has increased by 2.2% each hour.
Thus, the rate of growth, b = 1 + r, where r = 2.2% = 0.022.
Therefore, b = 1 + 0.022b = 1.022 therefore: y = 1700 * 1.022(t)
Step 3: Determine the value of a given the value of b and y. The value of y is not given, so we cannot determine the value of a. Therefore, the final exponential function showing the relationship between y and t is: y = 1700 * 1.022(t). The exponential function showing the relationship between y and t is: y = 1700 * 1.022(t)
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What number should be added to both sides of the equation to complete the square?
x2 + 3x = 6
Nuw
O
لایا
w
ОО
62
Answer: Is this completing a a square?
Step-by-step explanation:
Answer:
9/4Step-by-step explanation:
The perfect square identity is:
(a + b)² = a² + 2ab + b²Apply to the given equation to complete the square:
x² + 3x = 6x² + 2*x*(3/2) + (3/2² = 6 + (3/2)²(x + 3/2)² = 6 + 9/4(x + 3/2)² = 8 1/4Required number is 9/4
HELP
Which point is located at (1, 3)?
A
B
C
D
Answer:
I don't know if you typed the question wrong, but coordinates are written as (x, y).
A (1, -3)
B (-3, 1)
C (-1, 3)
D (3, -1)
Hope I helped!
Step-by-step explanation:
Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
Answer:
Your answer is correct
Step-by-step explanation:
(2^5/4)² = 4^5/2 = √4^5
The correct answer is option B which is \(\sqrt{2^5}\).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as follows:-
\(E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}\)
Therefore the correct answer is option B which is \(\sqrt{2^5}\).
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Bryan’s mom spent $46.20 filling up her gas tank. If her gas tank can hold 12 gallons of gas, how much did each gallon cost?
A. $3.48
B. $3.85
C. $3.86
Answer: Each gallon costs $3.85
Step-by-step explanation:
We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:
$46.20 ÷ 12 = $3.85
Each gallon costs $3.85
In which expression is the coefficient of the linear term -1?