Answer:
[tex]3x-10<5\\x<5[/tex]
Step-by-step explanation:
Let x be equal to the number.
We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:
[tex]3x-10<5[/tex]
To find the range of possible values, we must solve the inequality and isolate x.
[tex]3x-10<5[/tex]
Add 10 to both sides
[tex]3x-10+10<5+10\\3x<15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]
I hope this helps!
Exhibit 2 Touchdowns Field Goals Patrick 39 13 Jimmy 25 5 Exhibit 2 presents the touchdowns and field goals two football players can make if they each specialize in being either a quarterback or a kicker, but not both. Who has the absolute advantage playing quarterback
Patrick has an absolute advantage in playing quarterback.
Given a table containing touchdowns and field goals by Partrik and Field goals as under:
Person Touchdowns Field goals
Patrik 39 13
Jimmy 25 5
We are required to find a person who has an absolute advantage in playing quarterback.
Absolute advantage is the ability of an individual, company to produce greater advantage of good or service than the individual.
Total of touchdowns and field goals by Patrik=39+13=52
Total of touchdowns and field goals by Jimmy=25+5=30
We can see that total of touchdowns and field goals by Patrik is greater than total of touchdowns and field goals by Jimmy. So Patrik has an absolute advantage playing quarterback.
Hence Patrick has an absolute advantage in playing quarterback.
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Question is incomplete as it should include the following table:
Person Touchdowns Field goals
Patrik 39 13
Jimmy 25 5
If mZMNO = 95°, mZADC = 101°, and mZMLO = 80°, then what is m/ABC, in degrees?
Answer:
This is your answer.
Step-by-step explanation:
There are different kinds of angles:
Angles below 90= Acute
90= Right
91–179= Obtuse
180= Straight Angle
181–359= Reflex Angle
360= Complete Angle or Circle.
Because 80 degrees is less than 90 degrees, Angle ABC is an acute angle.
Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heights of a random sample of 256 people from the city. The average height of your sample is 64 inches, while the standard deviation of the heights in your sample is 4 inches.The standard error of your estimate of the average height in the city is .
The standard error of the estimate of average height in the city is 0.25.
Given average height 64 inches, sample mean and sample standard deviation of 4 inches.
We have to determine the standard error of the estimate of the average height in the city.
Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.
n=256
μ=mean
s = sample standard deviation
Standard error=s/[tex]\sqrt{n}[/tex]
=4/[tex]\sqrt{256}[/tex]
=4/16
=0.25
Hence the standard error of the estimate of the average height is 0.25.
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Write it in an algebraic expression form!
1. One-half of a number, decreased by 7, equals 11
2. Twice a number, increased by 7, equals 27.
3. Twice a number, decreased by 5, equals 25.
Lowest common multiple of 12, 18,56
Answer: The lowest common multiple of 12, 18, and 56 would be 504. Why? Well, see below for an explanation!
Step-by-step explanation: What is the lcm? Well, the lcm of two or more numbers is the lowest possible number that each number has in common as a multiple. Because we are dealing with large numbers, we can tell that the lcm will be a multiple of these numbers times at least 5. I multiplied all the numbers by 10, and it was too large and did not work. However, I backed up and tried 9.
56 x 9 = 504.
Why is this acceptable? Well, this is acceptable because I found that 504 can be divided by 12 and 18 both to get a whole number.
504 divided by 18 equals 28.
504 divided by 12 equals 42.
Using this principle, we will find that 504 is the lowest number that 12, 18, and 56 have in common.
Your final answer: 504 is the lowest common denominator. If you need extra help, let me know and I will gladly assist you.
To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.
This method consist of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 18 \ \ \ 56}\\ \ 6 \ \ \ \ 9 \ \ \ \ 28\\ \ 3 \ \ \ \ 9 \ \ \ \ 14\\ \ 3 \ \ \ \ 9 \ \ \ \ \ 7 \\ \ 1 \ \ \ \ 3 \ \ \ \ \ 7 \\ \ 1 \ \ \ \ 1 \ \ \ \ \ 7\\ \ 1 \ \ \ \ 1 \ \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ 3\\ 7\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{L.c.m.(12,18,56)=2\times2\times2\times3\times3\times7}[/tex]
[tex]\sf{L.c.m.(12,18,56)=2^{3}\times3^{2}\times7 }[/tex]
[tex]\boxed{\boxed{\sf{L.c.m.(12,18,56)=504}}}[/tex]
The lowest common multiple of 12, 18, and 56 is 504.
Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?
Ms. Drake will earn [tex]\$ 170[/tex] in this time from the investment of [tex]\$ 1000[/tex] at a simple interest with rate of interest [tex]8.5\%[/tex]
What is the definition of simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
Formula for finding simple interest is [tex]\frac{principal \times rate \ of \ interest \times time}{100}[/tex]
Given principal of Ms. Drake is [tex]\$1000[/tex]
Rate of interest is [tex]8.5 \%[/tex]
Time is [tex]2[/tex] years.
Interest [tex]=\frac{1000 \times 8.5 \times 2}{100}[/tex]
[tex]=\frac{17000}{100}\\=170[/tex]
Therefore, Ms. Drake will earn [tex]\$ 170[/tex] in this time.
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The formula d=1/2n+26 relates the nozzles pressure n (in pounds per square inch) of a free hose and the maximum horizontal distance the water reaches d (in feet). How much pressure is needed to reach a fire 50 feet away?
The pounds of pressure needed to reach a fire 50 feet away is 48 pounds
Formulad = 1/2n + 26
where
n = nozzle pressure in pounds per square feetd = distance the water reachesIf d = 50 feet
d = 1/2n + 26
50 = 1/2n + 26
50 - 26 = 1/2n
24 = 1/2n
n = 24 ÷ 1/2
n = 48 pounds
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What is the P(1, 4) on 2 rolls of a die?
On a coordinate plane, shapes show the size of swings, a slide, a merry-go-round, and a sandbox. The sandbox has points (0, 6), (8, 12), (12, 6), and (8, 0).
A sandbox is shaped like a kite. Each unit on the coordinate plane represents one foot. A planner would like to replace the wooden border around the sandbox. How many feet of wood does he need? Round up to the nearest whole number.
feet
The number of feet of wood that is needed is given as 35 feet of wood.
How to solve for the woodWe have to do this through the use of pythagoras theorem
a² = b² + c²
8² + 6²
a = √100
= 10
4² + 6²
= 52
a = √52
Then we would have
10 + 10 + √52 + √52
= 34.42
This is approximately 35 feet
The feet of wood that is needed is given as 35 feet
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Answer:
The number of feet of wood that is needed is given as 35 feet of wood
Step-by-step explanation:
I just did it on E2020 and got it right
10 points please help me I've been struggling with these
Answer:
57pi
Step-by-step explanation:
First, let's get the area of the entire circle, including the shaded region:
pi*(8+3)^2 = 121pi
Next, let's get the area of the unshaded circle
pi*8^2 = 64pi
If we subtract the inner circle from the full circle, we get the shaded region:
121pi-64pi =
57pi
Answer: 57π
Step-by-step explanation:
You have to calculate the area of the whole circle created by the sum of the inner circle and the ring, so 8+2=11=r, now use the formua for getting area of a circle, π*r², which is "121π"
After that, subtract the area of the inner circle (its area is π*8²)
So 121π-64π = 57π
What is the scale factor of this dilation? Triangle A B C. Side A C is 8, C B is 10, A B is 6. Triangle A prime B prime C prime. Side A prime C prime is 4, C prime B prime is 5, B prime A prime is 3. One-fifth One-half 1 2
Answer:
The scale factor from the original triangle to the image is 1/2. The scale factor from the image to the original is 2.
Step-by-step explanation:
I make a sketch of the information. Look at the corresponding sides. Side AC on the big triangle is 8 and A'C' is 4. It is half of the size of the large triangle. That is true for each pair of sides.
If I went the other way, the original sides are twice as big as the images sides.
Can anyone solve this?
Answer:
BT = 18, DA = 6
Step-by-step explanation:
- EBT and SDA are similar triangles
- EBT has a perimeter of 63
- SDA has a perimeter of 21
- BT = 6x
- DA = x+3
We know that EBT has side lengths that are three times bigger than the side lengths of SDA since 63 = 21 x 3.
so
6x is equal to 3(x+3).
6x = 3x + 9
3x = 9
x = 3
Now we know that:
BT = 18
and
DA = 6
Complete the recursive formula of the geometric sequence -0.25\,,-2\,,-16\,,-128,...−0.25,−2,−16,−128,...minus, 0, point, 25, comma, minus, 2, comma, minus, 16, comma, minus, 128, comma, point, point, point.
b(1)=b(1)=b, left parenthesis, 1, right parenthesis, equals
b(n)=b(n-1)\cdotb(n)=b(n−1)⋅b, left parenthesis, n, right parenthesis, equals, b, left parenthesis, n, minus, 1, right parenthesis, dot
The recursive formula of the geometric sequence is [tex]b(1) = -0.25[/tex], [tex]b(n) = b(n-1)\cdot 8[/tex]
How to determine the recursive formula?The sequence is given as:
[tex]-0.25\,,-2\,,-16\,,-128,..[/tex]
The first term of the above sequence is
[tex]b(1) = -0.25[/tex]
Calculate the common ratio using
r = b(2)/b(1)
So, we have:
r = -2/-0.25
Evaluate
r = 8
So, we have:
[tex]b(n) = b(n-1)\cdot 8[/tex]
Hence, the recursive formula of the geometric sequence is [tex]b(1) = -0.25[/tex], [tex]b(n) = b(n-1)\cdot 8[/tex]
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Complete question
Complete the recursive formula of the geometric sequence
[tex]-0.25\,,-2\,,-16\,,-128,..[/tex]
[tex]b(1) =[/tex]
[tex]b(n) = b(n-1)\cdot[/tex]
which similar triangle, the ratios of all theee pairs of corresponding sides add never equal true or false
The ratio of all the corresponding sides of the triangle are equal to each other.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two triangles are said to be similar if they have the same shape and the same corresponding angles.
Also, the ratio of all the corresponding sides of the triangle are equal to each other.
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10 points
help me and hurry, please
The probability in all given conditions is 1/4.
According to the statement
Number of coin tossed = 3
Total outcomes = 8
Now, we have to find the probabilities on different conditions.
Probability of a head on each of the last two tossesProbability = A head on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
Probability of alternating tale and headProbability = alternating tale and head / total outcomes
Probability = 2/8
Probability = 1/4.
Probability of a no tails on each of the last two tossesProbability = A No tails on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
So, The probability in all given conditions is 1/4.
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A construction company is repaving a damaged road. So far, they have repaved a total of 55,721 centimeters of the road. Today, they repaved 34,066 centimeters of the road. How many centimeters of the road had they repaved before today?
Answer:
21655
Step-by-step explanation:
minus the values
Find the area of the shaded regions.
The area of the shaded circle is given as follows: 84.82 cm².
What is the area of a circle?The area of a circle of radius r is given by pi multiplied by the radius squared, as given by the formula presented next:
[tex]A = \pi r^2[/tex]
In this problem, we have that the important data is given in the bullet-points as follows:
The radius is of r = 6 cm.The shaded area is 75% of the circle.Hence the shaded area in cm² can be found a applying the formula given at the beginning of this problem, as is presented below:
[tex]A = 0.75\pi \times 6^2 = 84.82[/tex]
The multiplication by 0.75 happened because as stated in the bullet point, the shaded area corresponds to only 75% of the entire circle.
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What is the x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 –4 –2 2 4
The x-coordinate of the point is -2
How to determine the coordinates of point C?The points are given as:
J = (-6, -2)
K = (8, -9)
m : n = 2 : 5
The x-coordinates of the point is calculated as:
[tex]jk = \frac{m}{m+n} *(x_2 -x_1) +x_1[/tex]
So, we have:
[tex]jk = \frac{2}{2+5} *(8+6) -6[/tex]
This gives
[tex]jk = \frac{2}{7} *14 -6[/tex]
So, we have:
jk = 4 - 6
Evaluate
jk = -2
Hence, the x-coordinate of the point is -2
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can someone please help me
The trigonometric values are:
[tex]cos(\frac{3\pi}{4})=\frac{1}{\sqrt{2} } \\\\sin(\frac{3\pi}{4})=\frac{1}{\sqrt{2} }[/tex]
Values of trigonometric identities:The given trigonometric identities are:
[tex]cos(\frac{3\pi}{4} )\\\\sin(\frac{3\pi}{4})[/tex]
Note that:
[tex]\pi=180^o\\\\\frac{3\pi}{4}=135^0[/tex]
Therefore, using the calculator for the given expressions:
[tex]cos(\frac{3\pi}{4})=cos135^0=\frac{1}{\sqrt{2} } \\\\sin(\frac{3\pi}{4})=sin135^0=\frac{1}{\sqrt{2} }[/tex]
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What is 125x + 64y¹2 written as a sum of cubes?
O (25x3)3 + (44)3
O (5x³)3 + (164)³
O (25x³)3 + (8y4)3
(5x3)3 + (4y4)3
quick answer: (5x3)3 + (4y4)3
please hit the like button if it is correct :D
what does -16t^2 mean in h(t)=5+100t-16t^2
-16t^2 represent the position on the graph on the negative side.
According to the statement
we have given equation is h(t)=5+100t-16t^2 -(1)
And we have to find representation of -16t^2
we know that the equation number (1) represent the Quadratic Equation
And in this we have to solve the Quadratic Equation and find the representation of the given terms. then
h(t)=5+100t-16t^2
5+100t-16t^2 = 0
16t^2 -100t-5 = 0
In this equation 16t^2 represent the equation on the graph.
It means that it shows the position on the graph.
Overall, -16t^2 represent the position on the graph on the negative side.
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Simplify this expression 3y + 6y + 8y
Answer:
the answer is 17y 3y+6y is 9y plus 8y is 17y
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{3y + 6y + 8y}[/tex]
[tex]\huge\textbf{Simplifying it:}[/tex]
[tex]\mathsf{3y + 6y + 8y}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathsf{(3y + 6y + 8y)}[/tex]
[tex]\mathsf{\rightarrow 3y + 6y + 8y}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{\rightarrow 3y + 6y + 8y}[/tex]
[tex]\mathsf{\rightarrow 9y + 8y}[/tex]
[tex]\mathsf{\rightarrow 17y}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{17}\mathsf{y}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of these tables represents a function
W
a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.
If B is the midpoint of AC, and AC = &r - 20 find BC.
The measure of BC from the figure shown is 26
What is a line?A line is the distance between two points. From the given line AC;
AC = AB + BC
Given the following parameters
AC = 8x - 20
AB = 3x - 1
Required
Length BC
Substitute
8x-20 = 3x-1 + BC
BC = 8x-20 -(3x - 1)
BC = 8x - 20 - 3x + 1
BC = 5x - 19
Since B is the midpoint of AC, then;
AB = BC
3x - 1 = 5x - 19
-2x = -18
x = 9
Determine the length of BC
BC = 5(9) - 19
BC = 45 - 19
BC = 26
Hence the measure of BC from the figure shown is 26
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3. The scores on a test are normally distributed, with a mean of 82 and standard deviation of 8. What percent of scores are less than 90? Explain your answer.
Answer:
8 ×10=80
Step-by-step explanation:
because 1 time
8
10 times
add so
90
less
so that's it
80
is perpendicular to and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of is
(12, 0)
. The point
lies on .
If CD is perpendicular on AB then the x intercept of CD is (17,0).
Given that CD is perpendicular on AB and passes through C(5,12) and the coordinates of A and B are (-10,-3), (7,14).
When two lines are perpendicular on other line then the product of their slopes is equal to -1.
It is given that CD is perpendicular on AB. So we need to first calculate the slope of AB.
Slope=[tex](y_{2} -y_{1} /x_{2} -x_{1} )[/tex]
Slope of AB=(14+3/7+10)
=(17/17)
=1
According to rule product of slopes of AB and CD should be -1.
So the slope of CD will be -1.
Now we have to form equation of CD from slope -1 and point (5,12).
y-12=-1(x-5)
y-12=-x+5
x+y-17=0
We have to find out x intercept.
We know that x intercept is a point where the line touches x axis. So here the value of y =0.
x+y-17=0
put the value of y=0.
x+0-17=0
x=17
Point will be (17,0)
Hence the x intercept of CD will be (17,0).
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Question is incomplete as it should include in its beginning that CD is perpendicular on AB.
WILL MARK BRAINLIEST 35 POINTS Write a paragraph proof for this please
The proofing of the triangle is illustrated below.
How to illustrate the proof?AB = c
BC = a
AC = b
h² = b² - x²
h² = a² - y²
a² - y² = b² - x²
a² = b² - x² + y²
Note that x = c - (c - x) = c
a² = b² - (-x)² + y²
a² = b² + c² + y²
Cos A = x/b
cos = adjacent/hypothenuse
x = bcosA
a² = b² + c² - 2bx
a² = b2 + c² - 2bccosA
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0 divided by 0 is? 45 points for who answer its correct not for a homework
Answer:
Undefined
Step-by-step explanation:
No multiplicative inverse exists for 0
Answer:
undefined
Step-by-step explanation:
a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined.
Intermediaries who are independent, but agree to cooperate have likely formed a(n) distribution system.
Intermediaries who are independent, but agree to cooperate have likely formed a(n) contractual distribution system.
The most commonplace form of Contractual VMS is Franchising. In franchising, the manufacturer authorizes the distributor to promote its product below the producer's call against some annual license rate. For example, McDonald's, Dominos, Pizza Hut, etc. are all styles of a franchise that might be operating on a contractual foundation.
A form of vertical advertising machine in which unbiased firms at unique degrees of distribution are tied together by using contracts to achieve economies of scale and more income impact.
A vertical advertising system refers to a marketing system that aims to draw and attain organizations running inside the same industry. then again, horizontal advertising and marketing device refers to an advertising and marketing system whereby corporations which can be on equal degree join collectively to advantage economies of scale.
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place 3 numbers between 12 and 60 to make a sequence of 5 numbers with a common difference
The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.
What three numbers should be placed between 12 and 60?It follows from the task content that the first and last numbers are; 12 and 60 respectively.
Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,
It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.
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