The expression can be written as a sum of 3 terms, then the correct option is C.
Who is correct?To check who is correct, we need to expand the given product, here we have:
(5p + 3)(p + 1)
Expanding that we will get the polynomial:
(5p + 3)(p + 1) = (5p)*p + (5p)*1 + 3p + 3
= 5p² + 5p + 3p + 3
= 5p² + 8p + 3
So the expression has 3 terms, so the entire expression is a sum of 3 terms.
Then the correct option is C, neither is correct.
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PLEASE HELP!!!!! 20 POINTS FOR ANSWER!!!
A cylinder has a radius of 9 inches and is 12 inches tall. What is the approximate volume of the cylinder? Express the answer in terms of π. Recall the formula V = πr 2h. Show work.
Answer:
if you convert inches to cm...
Step-by-step explanation:
9inch=22.86cm
12inch=30.48cm
V=TTr²h
TT= 3.14
V= 3.14×22.86²×30.48
V= 50014.6cm³
if you don't convert inches to cm...
V=TTr²h
V=3.14 ×9×12
V=339.12cm³
Question in in picture, please help
Step-by-step explanation:
256 mm3
cause volume of rectangular prism is l*b*h
68 is the sum of 12 and helena’s savings
Translate into an equation
Answer:
12 + h = 68
Step-by-step explanation:
Sum = Addition
Helena's savings = x
Equation = 12 + Helena's savings = 68
= 12 + h = 68
Hope this helps! :)
The venticles of a right angle are a[0,4], b[3,-2] c[-3, -4] Find It's area.
Answer:
The area of this triangle is about 21.2132 square units.
Step-by-step explanation:
First, find the lengths of the legs AB and BC.
Length of AB ===
Find the difference in position vertically:
\(-2-4=-6\)
The points are 6 units apart vertically.
Find the difference in position horizontally:
\(3-0=3\)
The points are 3 units apart horizontally.
These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:
\(a^2+b^2=c^2\\3^2+6^2=c^2\\9+36=c^2\\45=c^2\\c\approx6.7082\)
AB is about 6.7082 units long.
Length of BC ===
Same process as above.
Find the vertical distance:
\(-4--2=-2\)
2 units apart vertically.
Find the horizontal distance:
\(-3-3=-6\)
6 units apart horizontally.
Use the pythagorean theorem:
\(2^2+6^2=c^2\\4+36=c^2\\40=c^2\\c=6.3246\)
BC is about 6.3246 units long.
Area ===
Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:
\(A=\frac{b\times h}{2}\\\\A=\frac{6.7082\times6.3246}{2}\\\\A=\frac{42.4264}{2}\\\\A=21.2132\)
The area of this triangle is about 21.2132 square units.
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 2100(0.96)^x
I don't know exactly but I have gotten decrease
Answer:
decay decrease 4%
Step-by-step explanation:
Just did it on deltamath
Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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The circumference of a circle is 36 cm.
What is the radius of the circle?
Answer:
The radius is 6 cm rounded
Step-by-step explanation:
\(C\) stands for circumference
\(r\) stands for radius
here's the formula to find the radius: \(r=\frac{C}{2\pi }\)
\(r=\frac{36}{6.283}\)
\(r=5.729\)
Hope this helps
Answer:
r = 18/pi or approximately 5.732484076 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
36 = 2*pi*r
Divide each side by 2 pi
36 / (2pi) = 2pi r/ (2pi)
18/ pi = r
Using 3.14 for pi
18/ 3.14 = r
5.732484076 = r
In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples
PLEASE HELP ME WITH IDK WHAT TO DO!!!!!!!!!
It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function. (1 point)
A. The domain is all integers from 0 to 6 hours.
B. The domain is all even integers from 0 to 6 hours.
C. The domain is all real numbers from 0 to 6 hours.
D. The domain is all positive real numbers.
Answer:
all real numbers from 0 to 6 (3rd option)
Step-by-step explanation: The domain of a function are the values of x, that in this case represents the time the hose is running.
Estimate the line of best fit using two points on the line. 10- 8765SYON- +H+H+ -H ● IM (7.4) (10,2) 8 9 10
The equation of the line of best fit is: y = (-2/3)x + 26/3
To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the points:
m = (2 - 4) / (10 - 7)
m = -2 / 3
Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):
4 = (-2/3)(7) + b
4 = -14/3 + b
To find the value of b, we can rearrange the equation:
b = 4 + 14/3
b = 12/3 + 14/3
b = 26/3
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Find the critical value x2r corresponding to a sample size of 19 and a confidence level of 99% if the test is two-tailed
Answer:
For this problem we are assuming that the confidence level is 99% or 0.99, then the significance level would be \(\alpha=0.01\) then the value of \(\alpha/2 =0.005\) and the degrees of freddom are given by:
\( df =n-1 = 19-1=18\)
Then the critical values for this case are:
\(\chi^2_{\alpha/2}=6.265\)
\(\chi^2_{1-\alpha/2}=37.156 \)
Step-by-step explanation:
For this problem we are assuming that the confidence level is 99% or 0.99, then the significance level would be \(\alpha=0.01\) then the value of \(\alpha/2 =0.005\) and the degrees of freddom are given by:
\( df =n-1 = 19-1=18\)
Then the critical values for this case are:
\(\chi^2_{\alpha/2}=6.265\)
\(\chi^2_{1- \alpha/2}=37.156 \)
Using a calculator for the chi-square distribution, it is found that the critical values are \(\chi^2_r = 6.2648\) and \(\chi^2_r = 37.1565\).
For a chi-square critical value, three parameters are needed:
The number of degrees of freedom, which is one less than the sample size.The confidence level.Whether the test is one-tailed or two-tailed.In this problem:
Sample size of 19, hence 18 df.99% confidence level, and two-tailed.Hence, using a calculator, the critical values are \(\chi^2_r = 6.2648\) and \(\chi^2_r = 37.1565\).
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How to find surface area of a composite figure
Step-by-step explanation:
To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom. Determine the surface area of the outside faces of the right prism.
the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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Use a parametrization to find the flux
\int \int_{s} F.n . d\sigmaof F =5zk across the portion of the sphere x2+y2+z2=a2 where Z is positive in direction away from the origin.
the flux is____
The flux of the given sphere as calculated from the data is, flux= 5πa³/6.
We can use spherical coordinates for this sphere with radius r=ar =a.
The surface can then be described using the parametric equation as
r(θ,Ф)= acosθsinФi + asinθsinФj + acossθk
The partial derivatives of this parametric function with respect to its parameters are,
r ϕ=acosθcosϕi+asinθcosϕj−asinϕk
r θ=−asinθsinϕi+acosθsinϕj
Therefore,
the cross product will be ,
ndσ=a²[cosθsin²ϕi+sinθsin²ϕj+sinϕcosϕk]dϕd
In these coordinates
F = 5zk = 5acosФk
therefore on integrating we get ,
flux= 5πa³/6
Flux is a physics term that refers to the number of electric or magnetic field lines that pass through a surface in a given amount of time. Field lines provide a visual representation of the magnitude and direction of the field being measured.
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1. Find the ratio of oranges to apples if there are 2 pineapples, 4 apples,
6 bananas, and 3 oranges in a fruit bowl.
a. 1 to 2
b. 2 to 4
c. 3 to 4
d. 3 to 2
Answer: the answer is C because there are 3 oranges and 4 apples
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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wo cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a nine and then selecting an eight. The probability of selecting a nine and then selecting an eight is nothing.
Answer:
0.6%
Step-by-step explanation:
We have a standard deck of 52 playing cards, which is made up of 13 cards of each type (hearts, diamonds, spades, clubs)
Therefore there are one nine hearts, one nine diamonds, one nine spades and one nine clubs, that is to say that in total there are 4. Therefore the probability of drawing a nine is:
4/52
In the second card it is the same, an eight, that is, there are 4 eight cards, but there is already one less card in the whole deck, since it is not replaced, therefore the probability is:
4/51
So the final probability would be:
(4/52) * (4/51) = 0.006
Which means that the probability of the event is 0.6%
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Please solve needed as soon as possible thank you I really appreciate it
Answer:
143
Step-by-step explanation:
6(3³)-2(3²)+3-4=
6(27)-2(9)-1=
162-18-1=
143
Which of the following shows 12 more than a number, written as an algebraic expression?
A: 12 − n
B: 12 + n
C: n − 12
D: 12n
Answer:
the answer is
Step-by-step explanation:
So 12 more than N would be 12 + N.
Answer:
b) 12 + n
Step-by-step explanation:
The statement is,
→ 12 more than a number.
Now equation will be,
→ 12 + n
≈ (or) n + 12
So, option (b) is correct.
Find the Value of X.
Answer:
\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)
PLS HELP ME ASAP!!!!
B. x^9
just simplify
Please help, I don’t know how to solve this!
Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
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The equation that represent the given situation is y = 15x + 70
When she plants 3 stalks, each plant yields 115 ounces of beans
The first point = (3, 115)
When she plants 8 stalks, each plant yields 190 ounces of beans
The second point = (8, 190)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line m = (190-115) / (8-3)
= 75/5
= 15
The point slope form is
\(y-y_1=m(x-x_1)\)
Choose one point and substitute the values in the equation
y - 115 = 15(x - 3)
y - 115 = 15x - 45
y = 15x - 45 + 115
y = 15x + 70
Hence, the equation that represent the given situation is y = 15x + 70
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what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Kadeem has $50,000 in an account that compounds interest sem-annually at a rate of 1.8%. He withdraws $5,000 semiannually from the account
Will his money last:
4.5 years (yes or no), 5 years (yes or no), 5.5 years (yes or no), 6 years (yes or no)
The time taken is 5.3 years.
What is Compound Interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
Compound interest is when you receive interest on both your interest income and your savings.
Given:
P = 50, 000
W= 5000
r= 1.8%= 0.018
n= 2
Using, P = W (1- \((1+ r/n)^{-nt}\)) / (r/n)
Putting all the values we get
P = W (1- \((1+ r/n)^{-nt}\)) / (r/n)
50000 = 5000 (1- \((1+0.018/2)^{-2t}\)) / (0.018/2)
10 = (1- \((1+0.009)^{-2t}\)) / (0.009)
0.09 = 1 - \((1.009)^{-2t\)
\((1.009)^{-2t\) = 0.91
Taking log on both side
-2t log 1.009 = log 0.91
t= log 0.91/ (log 0.091) / (-20
t= 5.3
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0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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PLEASE HELP HURRYYYY PLEASEEE!!!What is the median of the data set represented by the dip plot? Enter your awnser in the box
Answer:
middle point in a datasetStep-by-step explanation:
The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger. To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.
21. The mean salary of twelve men is $58,000, and the
mean salary of eight women is $42,000. Find the
mean salary of all twenty people.
Which set of systems of equations represents the solution to the graph? F(x)=-x^2x+3 g(x)=-x^2+3
Answer:
(c) f(x) = x² +2x +3; g(x) = -x² +3
Step-by-step explanation:
You want the system of equations represented by the graph.
Opening downwardThe parabola opening downward is one that has been reflected over the x-axis, then shifted upward by 3 units. Its equation will be ...
y = -x² +3 . . . . . . . . the minus sign is the reflection, the +3 is the translation
Only one answer choice include this equation:
Choice C
f(x) = x² +2x +3g(x) = -x² +3