Answer:
11.9
Step-by-step explanation:
You can use the formula tan(x) = opposite / adjacent
You have that:
the angle, or x, = 50
the adjacent side is 10
the opposite side is x
So plug those things into the equation:
tan(50) = x / 10
tan(50) * 10 = x
now, put this in a calculator
You get: 11.9 (after rounding)
Id like some help in this, thanks.
Answer:
80 cm²
Step-by-step explanation:
Given 2 similar figures with sides in the ratio a : b , then
ratio of areas = a² : b²
Here ratio of sides = 7 : 14 = 1 : 2
ratio of areas = 1² : 2² = 1 : 4
Thus area of B is 4 times area of A
area of B = 4 × 20 = 80 cm²
- 111 - 9 = -121 + 17
Answer:
False
Step-by-step explanation:
−111−9 = −121+17
−120 ≠ −104
The amount of time a student taking statistics spends on studying for a test is normally
distributed. If the average time spent studying is 4 hours and the standard deviation is 2
hours, what is the probability that a student will spend less than 3 hours studying?
The probability that a student will spend less than 3 hours studying in normal distribution is 0.3085.
What is normal distribution?The most significant probability distribution in statistics for independent, random variables is the normal distribution, sometimes referred to as the Gaussian distribution. In statistical reports, its well-known bell-shaped curve is generally recognized.
The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean. The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare.
Given that the value of mean = 4 and the value of standard deviation is 2.
P(X < 3) = P (Z < 3 - 4 / 2)
= P (Z < -1/2)
= P(Z < -0.5)
= 0.3085
Hence, the probability that a student will spend less than 3 hours studying is 0.3085.
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A process flowchart uses which of the following symbols to represent a decision point in a flow diagram? A. Rectangle B. Arrow C. Inverted triangle. D. Diamond
Decision points
are represented in the flowchart using a diamond symbol. Answer: D. Diamond.
A
flowchart
is a kind of diagram that is used to represent an algorithm, workflow, or process. A flowchart comprises different shapes, which represent distinct steps or activities in a procedure. Flowcharts are used in different fields, such as education,
engineering
, programming, and business, to demonstrate decision making, problem-solving, process control, and project management.
Flowcharts are used to:
Visualize
processes and workflows that need to be organized or improved
Communicate a sequence of steps that are essential to complete a project
Identify the root cause of a problem
Illustrate the steps of a procedure to new employees or staff members
A decision point in a flowchart is a point where the sequence of flowchart changes its direction based on the
outcomes
of the preceding steps. Decision points are represented in the flowchart using a diamond symbol.
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Use the Integral Test to determine whether the infinite series is convergent.
n=5
∑
[infinity]
6ne −n 2
Fill in the corresponding integrand and the value of the improper integral. Enter inf for
[infinity]
, -inf for
−[infinity]
, and DNE if the limit does not exist. Compare with
∫ 5
[infinity]
dx=
Since the improper integral converges to a finite value\((3e^{-25})\) the infinite series also converges by the Integral Test.
To use the Integral Test to determine if the given infinite series is convergent, we first need to find the corresponding integrand and improper integral. The infinite series is:
\(\sum_{n=5}^{infinity} 6ne^{-n^2}\)
The corresponding integrand is:
\(f(x) = 6xe^{-x^2}\)
Now, we need to find the value of the improper integral:
\(\int _5^{infinity} 6xe^{-x^2}dx\)
To evaluate this integral, we'll first find the antiderivative using substitution. Let u = -x^2, so du = -2xdx. Then, we have:
∫ (-3)e^u du = -3∫e^u du
The antiderivative of e^u is e^u. So, we get:
-3e^u = -3e^(-x^2)
Now we'll evaluate the limit as the upper bound approaches infinity:
\(Limit _{ t=infinity} [ -3e^{-t^2} ] - ( -3e^{-5^2} \\= Limit_{ t=infinity} [ -3e^{-t^2}+ 3e^{-25) ]\)
As t approaches infinity, e^(-t^2) approaches 0:
\(-3(0) + 3e^{-25)} = 3e^{-25}\)
Since the improper integral converges to a finite value\((3e^{-25})\) the infinite series also converges by the Integral Test.
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i’m struggling so much please help
Answer:
I'm not 100% sure but I think c is 55°
express 5613base 10 in base 8
The binary and decimal form of 5613base 10 in base 8 is (5613)₁₀ = (12755)₈
While decimal numbers use the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, and 9, octal numbers only use the eight digits 0, 1, 2, 3, 4, and 5.
5613 / 8 = 701, leaving only 5.
8 divided by 701 equals 87, leaving 5 as the remainder.
87 / 8 = 10, leaving a value of 7.
10/8 = 1, leaving 2 as the undetermined number.
1/8 equals 0, hence the final result is 1.
The remaining numbers are put together in reverse order to provide the required Octal number, which is 12755.
Therefore,(5613)₁₀ = (12755)₈
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Alicia can walk 14 mile every 15 hour. At this rate, how far can Alicia walk in one hour?
Answer:
.933 mph
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer: 3 39/40
Step-by-step explanation: I gotchu bro
(っ◔◡◔)っ ♥ Answer:
⁎ D. 3 39/40
Explanation:
⁎ 15/4 - 2/5
75/20 - 8/20 = 67/20
67/20 + 5/8
134/40 + 25/40 = 159/40
⁎ Simplified : 3 39/40
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- Please mark me brainiest, trying to achieve the next rank!
- Hope you have a wonderful & great day! ♥ ヾ(•ω•`)o
Expand the binomial using the binomial theorem: (3x-4)^5
Can someone explain how you solve this?
Answer:
Step-by-step explanation:
We worry about 2 things:
-terms power
-coefficient for each term
(3x-4)^5, has 2 terms 3x and -4
-Start with the first term to the highest power 5 and second term to the lowest power 0, then the high power goes down and low power increases until the first term has the lowest power 0 and the second term has the highest power 5.
-The coefficients for each term we take it from the Pascal triangle.
For the the power 5 the coefficients are 1, 5, 10, 10, 5, 1
\((3x-4)^{5} = 1*(3x)^{5} *(-4)^{0} +5*(3x)^{4} *(-4)^{1} +10*(3x)^{3} *(-4)^{2}+10*(3x)^{2} *(-4)^{3}+5*(3x)^{1} *(-4)^{4}+1*(3x)^{0} *(-4)^{5}\)
Simplify:
\((3x-4)^{5} = 3^{5} x^{5} -20*3^{4} x^{4} +160*3^{3} x^{3}-640*3^{2} x^{2}+1280*3x-1024\)
\((3x-4)^{5} = 243 x^{5} -1,620x^{4} +4,320 x^{3}-5,760x^{2}+3,840x-1024\)
What is the solution of log (3x+2) = log2 (4x-6)?
08
0-6
08
9
Answer:
The answer is 8.
Value of equation log (3x+2) = log2(4x-6) is 2.8
What is equation?An equation is a formula that expresses equality by connecting two expressions with an equal sign =. It consists of variables, constants and coefficients
given equation,
log(3x+2) = log2(4x-6)
Taking antilog on both sides
3x + 2 = 2(4x - 6)
3x + 2 = 8x - 12
8x - 3x = 12 + 2
5x = 14
x = 14/5
x = 2.8
Hence, 2.8 is the value of equation log (3x+2) = log2(4x-6).
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You have 3 quarters, 5 dimes, 7 nickels, and some pennies.-if the ratio of dimes to the total number of coins you ha e is 1:4, how many pennies are there?
The number of pennies there are, given the types of coins you have are 5 pennies.
How to find the number of pennies ?Since we have 5 dimes, we can set up the equation:
1/4 = 5/x
where x is the total number of coins.
Solving for x, we can cross-multiply:
1x = 45
x = 20
So we have a total of 20 coins.
Subtracting the number of quarters (3), dimes (5), and nickels (7), we get:
20 - 3 - 5 - 7 = 5 pennies
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Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about ______ inches by his first birthday.
Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.
We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.
To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.
So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:
⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches
Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.
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In the diagram below, \overline{OP}
OP
is parallel to \overline{LM}
LM
. If LO=20LO=20, OP=30OP=30, and LM=55LM=55, find the length of \overline{ON}
ON
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
Answer:
x = 24
Step-by-step explanation:
x/x+20=30/55
(x)(55)=(30)(x+30)
55x= 30x+600
-30x -30x
25x+600
25x/25=600/25
x=24
Which graph represents the inequality 2.5 is less than the product of −0.5 and a number?
number line with open circle on point 0.2 and arrow shaded to the left
number line with open circle on point negative 5 and arrow shaded to the left
number line with open circle on point negative 0.2 and arrow shaded to the right
number line with open circle on point negative 5 and arrow shaded to the right
The option that describes the graph of the inequality is:
"number line with open circle on point negative 5 and arrow shaded to the left"
Which graph represents the inequality?Here we have the following inequality:
2.5 < -0.5*x
First, need to isolate the variable which is x, to do that we divide both sides by -0.5
Remember that because we divide by a negative number, we need to change the direction of the inequality.
2.5/-0.5 > -0.5*x/-0.5
-5 > x
The graph of this inequality will be a number line with an open circle at x = -5, and a line that extends to the left of it, because x is smaller than -5.
Thus the correct option is:
"number line with open circle on point negative 5 and arrow shaded to the left"
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Answer: B.
Step-by-step explanation: It's B, -5 with the arrow pointing to the left.
____A mail clerk is making deliveries along a long straight hallway. The clerk's velocity is modeled in meters/min by v(t) = 4π sin(). If the clerk starts at one end and takes 13 minutes to finish deliveries, how many 3 meters did the clerk walk during the132 minutes?
The clerk walked approximately 0.371π meters during the 132 minutes of delivering along the hallway.
To find the number of 3-meter segments the clerk walked during the 132 minutes, we need to integrate the velocity function over the given time interval.
v(t) = 4π sin(t)
The clerk starts at one end and takes 13 minutes to finish deliveries, so the time interval is from t = 0 to t = 13.
To calculate the distance walked, we integrate the absolute value of the velocity function over the given interval:
Distance = ∫[0, 13] |v(t)| dt
Let's calculate the integral:
Distance = ∫[0, 13] |4π sin(t)| dt
Since the absolute value of sin(t) is positive for the given interval, we can simplify the integral to:
Distance = 4π ∫[0, 13] sin(t) dt
Using the integral of sin(t), which is -cos(t), the expression becomes:
Distance = -4π cos(t) |[0, 13]
Now we can evaluate the integral over the given interval:
Distance = -4π (cos(13) - cos(0))
Simplifying further:
Distance = -4π (cos(13) - 1)
Calculating the value:
Distance ≈ -4π (0.907 - 1)
Distance ≈ -4π (-0.093)
Distance ≈ 0.371π meters
Therefore, the clerk walked approximately 0.371π meters during the 132 minutes.
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Favian received a $100 gift card to a clothing store.
Using only the gift card, he was able to purchase n
sweaters that cost $32 each and 1 belt for $20. If there
was no tax on the sweaters and belt, which of the
following must be true?
Answer:
32n = 100 - 20
n = 2.5
he purchased 2 sweaters
Step-by-step explanation:
32n = 100 - 20
If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20
The formula for the number of sweaters will be 32n = 100 – 20.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Favian received a $100 gift card to a clothing store.
Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.
If there was no tax on the sweaters and belt,
Then the equation will be
32n + 1 x 20 = 100
32n + 20 = 100
32n = 80
n = 2.5 ≈ 2
If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.
Therefore, the formula would be 32n = 100 – 20.
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Which function has an asymptote at x = 5 and an x-intercept of (6,0)?
OA
f(x) = log(x - 5)
B.
f(x) = log(x + 5)
OC. Ax) = log x-5
OD.
f(x) = log x + 5
Answer:
f(x) = log (x-5)
Step-by-step explanation:
__________
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
What is a function?A relation is a function if it has only One y-value for each x-value.
we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)
An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.
There are three types of asymptotes: vertical, horizontal and oblique.
The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
Hence, f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
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Identify the type I error and the type II error that corresponds to the given hypothesis.
The proportion of people who write with their left hand is equal to 0.24.
Which of the following is a type I error? Which is type II error?
A. Fail to reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually 0.24
B. Reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually different from 0.24.
C. Reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually 0.24.
D. Fail to reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually different from 0.24.
The given hypothesis is that the proportion of people who write with their left hand is equal to 0.24.
Type I error is rejecting a true null hypothesis, while type II error is failing to reject a false null hypothesis.
Option C is a type I error as it rejects the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually 0.24, which means the null hypothesis is true.
Option D is a type II error as it fails to reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually different from 0.24, which means the null hypothesis is false.
In conclusion, type I error is rejecting a true null hypothesis, and type II error is failing to reject a false null hypothesis in hypothesis testing.
In hypothesis testing, we have two types of errors: Type I error and Type II error.
Type I error occurs when we reject the null hypothesis when it is actually true. In this case, the null hypothesis is that the proportion of people who write with their left hand is equal to 0.24. Therefore, a Type I error corresponds to option C: Reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually 0.24.
Type II error occurs when we fail to reject the null hypothesis when it is actually false. In this case, the null hypothesis is that the proportion of people who write with their left hand is equal to 0.24. Therefore, a Type II error corresponds to option D: Fail to reject the claim that the proportion of people who write with their left hand is 0.24 when the proportion is actually different from 0.24.
To summarize:
- Type I error: Option C
- Type II error: Option D
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Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6
Answer:
f(x) = x +3
Step-by-step explanation:
The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.
__
The slope-intercept form of a linear function is ...
y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).
A suitable function rule is ...
f(x) = x +3
if the roof building is 46 feet off the ground and the floor of the basement is 15 feet under ground what is the total distance from roof to basement floor
Answer:
61
Step-by-step explanation:
46 then you have to add another 15 feet for underground and you get 61 because it is asking form the roof to the basement floor
hope this helps
Adam and Judy own a painting company. To paint a particular house alone, Adam estimates that it would take him 8 days. Judy estimates that it would take her 6 days. If these estimates are accurate, how long should it take the two of them to paint the house if they work together?
Answer:
It should take 3.43 days for the two of them to paint the house if they work together.
Step-by-step explanation:
The together rate is the sum of each separate rate.
In this problem:
Together rate: 1/x
Adam's rate: 1/8
Judy's rate: 1/6.
So
Together rate = Adam's rate + Judy's rate
\(\frac{1}{x} = \frac{1}{8} + \frac{1}{6}\)
\(\frac{1}{x} = \frac{3 + 4}{24}\)
\(\frac{1}{x} = \frac{7}{24}\)
\(7x = 24\)
\(x = \frac{24}{7}\)
\(x = 3.43\)
It should take 3.43 days for the two of them to paint the house if they work together.
What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale
On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
here,
the approximate amperage setting be if a welder were set to the high range would be 350 amps
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What is it? Could someone draw these coordinates
The coordinates are simple. Hope you understand this and you can draw it out.
please helpppppp !!!
Answer:
The answer would be A. It is the population PER YEAR, so it would not be C or D because the population change is only negative, and -2,500,000 people/year is way too much. It must be A, -83,333 people/year. Hope I helped!
2 = x/6
HELP, WILL MARK BRAINLIEST
Answer:
x= 12
Step-by-step explanation:
12÷6=2
The midpoint of KL is (7,3). One endpoint is K (4,1), what is the coordinate for the
other endpoint L?
At a sale, the price of a washing machine
was reduced by 12% to $440. What was the original price of the washing machine?
Answer:
$500
Step-by-step explanation:
100-12=88
88/100=440/x
88x=100(440)
88x=44000
/88. /88
x=500
hopes this helps
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $119.60 from the 72 wraps sold. How many of the wraps sold were vegetarian
Answer:
vegetarians= 28
chickens= 44
Step-by-step explanation:
let the number of vegetarians be x
and chickens be y
So
x+2.7y=119.6----------1
x+y=72--------------2
from 2, x= 72-y
put x= 72-y in 1
72-y+2.7y=119.6
-y+2.7y=119.6-72
1.7y=47.6
divide both sides by 1.7
y=47.6/1.7
y=28
put y=28 in 1
x+28=72
y= 72-28
y=44
helpppppppppppppp pleaseeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
1. X=11
Answer:
First page
x=11
y=-15
Second page
x=26
x=10
Third page
x=36
x=88
fourth page
x=81
n=36
fifth page
x=10
x=2
Step-by-step explanation:
Hope this helps
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