Answer:
[tex]\Large \boxed{\mathrm{\bold{B.} } \ x=7, \ y = 4\sqrt{2} }[/tex]
Step-by-step explanation:
We can split the shape into a right triangle and a rectangle.
tan θ = opp/adj
Let c be the missing base for the right triangle.
tan45 = 4/c
c = 4/tan45
c = 4
x = 3 + 4
x = 7
sin θ = opp/hyp
sin45 = 4/y
y = 4/sin45
y = [tex]4\sqrt{2}[/tex]
AB has endpoints at (-4,5) and (4,-3) using the midpoint formula what is the midpoint segment
Answer:
(0,1)
Step-by-step explanation:
is angle 2 in the diagram and angle of elevation or an angle of depression
Answer:
Angle of elevation
Step-by-step explanation:
An angle measured from the horizontal upwards is an angle of elevation.
An angle measured from the horizontal downwards is an angle of depression.
∠ 2 is a measure from the horizontal upwards thus angle of elevation.
Note that ∠ 3 is an angle of depression
Olivia deposited $2,136.70 into a saving account with an interest rate of 2.7% compounded quarterly. About how long will it take for the account to be worth $4,000?
Answer:
23.3 years
Step-by-step explanation:
4000 = 2136.7(1 + .027/4)^(4t)
4000 / 2136.7 = 1.00675^4t
ln (4000 / 2136.7) / ln 1.00675^4 = t
23.301690290541729158877031400229 = t
23.3 years
Answer:
23.26 years
Step-by-step explanation:
Use the compound interest formula:
A = P [tex]( 1 + \frac{r}{100n} )^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
P = $2,136.70
r = 2.7
n = 4
A = $4,000
Now we plug everything in and solve for t.
$4,000 = $2,136.70 [tex](1 + \frac{2.7}{100 * 4} )^{4t}[/tex]
$4,000 = $2,136.70 [tex](1 + .00675 ) ^{4t}[/tex]
$4,000 = $2,136.70[tex](1.00675)^{4t}[/tex] Divide each side by $2,136.70
$4,000/$2,136.70 = [tex](1.00675)^{4t}[/tex]
1.87 = [tex](1.00675)^{4t}[/tex]
log (1.87) = log [tex](1.00675)^{4t}[/tex]
log 1.87 = (4t) (log 1.00675) Divide each side by (log 1.00675)
[tex]\frac{log 1.87}{log 1.00675}[/tex] = 4t
93.044 = 4t Divide each side by 4.
93.044/4 = t
23.26 = t
23.26 years
what is (5x-2)(4x^2 -3x-2)
Answer:
20x^3-23X^2-4X+4
Step-by-step explanation:
In the exam 45% students failed and 550 students were successful. The total number of students appeared in the exam.
Answer:
1000
Step-by-step explanation:
How many points do you need in order to name a ray?
O
one
four
о
three
two
You need the starting point, and another point that helps direct where the ray is aimed. Call these two points A and B.
Saying "Ray AB" means we extend a line through AB such that the line goes forever through B and beyond B, but we do not do the same for point A. The point A is effectively a cliff where no road goes on the other side of it. Check out the diagram below to see what I mean. The arrow means the line goes on forever in that direction.
Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis,Missouri, is 9.7. Suppose wind speed measurements are normally distributed for a given geographic location. If 22.45% of the time the wind speed measurements are more than 11.6 miles per hour, what is the standard deviation of wind speed in St. Louis?
Answer:
The value is [tex]\sigma = 8.5[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 9.7[/tex]
The proportion is [tex]P(X >x) = 0.2245[/tex]
The value considered is [tex]x = 11.6[/tex]
Generally given that the speed measurement is normally distributed we have that
[tex]P(X > 11.6) = P(\frac{ X - \mu }{ \sigma } > \frac{11.6 - 9.7}{ \sigma } ) = 0.2245[/tex]
Generally
[tex]\frac{X - \mu}{ \sigma } = Z(The \ z -score \ of \ X )[/tex]
[tex]P(X > 11.6) = P(Z> \frac{11.6 - 9.7}{ \sigma } ) = 0.2245[/tex]
Hence
[tex]\frac{ 11.6 - 9.7}{ \sigma} = 0.2245[/tex]
[tex]\sigma = 8.5[/tex]
The parallelogram shown below has an area of 54 units^2 squared. Find the missing height. h = units.
Answer:
See Explanation
Step-by-step explanation:
This question requires an attachment.
However, if you follow my explanation, you'll arrive at your answer
The area of a parallelogram is:
[tex]Area (A)= Base (b) * Height (h)[/tex]
[tex]A = b * h[/tex]
To solve for Height, we simply make h the subject of formula
[tex]h = \frac{A}{b}[/tex]
In this question, we have that A = 54
Now, let's assume base (b) = 6.
This implies that
[tex]h = \frac{54}{6}[/tex]
[tex]h = 9[/tex]
Or;
Assume that b = 3
[tex]h = \frac{54}{3}[/tex]
[tex]h = 18[/tex]
So, whatever the base of the parallelogram is;
You can easily solve for the height using the above steps
Please Help! I'm Stuck!
Answer:
19
Step-by-step explanation:
Assuming that [tex]l[/tex] represents length and [tex]w[/tex] represents width, we can make a systems of equations and solve for l and w.
[tex]2l+2w=60[/tex], since the perimeter of a rectangle will be double the length plus double the width.
Also we can make the equation [tex]l = 2w+3[/tex], as stated in the last part of the question.
We can now substitute the value of [tex]2w+3[/tex] into the equation [tex]2l+2w=60[/tex] as l.
[tex]2(2w-3) + 2w = 60\\\\4w-6+2w=60\\\\6w-6=60\\\\6w=66\\\\w = 66\div6\\\\w = 11[/tex]
So we know the width is 11. Now that we know the width, we can substitute it back into the equation [tex]l = 2w+3[/tex] to find the length.
[tex]l=2\cdot11-3\\\\l=22-3\\\\l=19[/tex]
So the length is 19.
Hope this helped!
help me pleasee (and no I’m not gonna follow u if u ask just help)
Answer:
option B is correct -7 is the answer
Step-by-step explanation:
=4⁴-3³.(12-3)-20
=256-27×(9)-20
=256-243-20
=256-263
=-7
hope it will help ^_^
Answer:
[See Below]
Step-by-step explanation:
First you'll solve the parenthesis part:
* 12 - 3 = 9
Then Solve the exponents:
* 4^4 = 256 (4 x 4 x 4 x 4)
* 3^3 = 27 (3 x 3 x 3)
Rewrite:
* 256 - 27 x 9 - 20
Multiply:
* 27 x 9 = 243
Subtract:
* 256 - 243 = 13
* 13 - 20 = -7
So the answer would be B, -7
(Remember to use PEMDAS to solve)
3(3a - 5b) - (a - 76)
Answer:
8a-15b+76
Step-by-step explanation:
that is the answer
Solve 4(p - 15)=312 please
Answer:
p = 93
Step-by-step explanation:
4(p - 15)=312
4p - 60 = 312
4p - 60 + 60 = 312 + 60
4p = 372
4p/4 = 372/4
p = 93
Answer:
the answer is 93......
What is the greatest common factor of 36, 34, and 22?
We have that the factors of the individual Number
(1,2,3,4,6,9,12,18,36),( 1,2,17,34),( 1,2,11,22 ) respectively
The greatest common factor is 2
2
From the question we are told
What is the greatest common factor of 36, 34, and 22?
Generally the equation for the Factors is mathematically given as
36 factors are as follows 1,2,3,4,6,9,12,18,36
34 factors factors are as follows 1,2,17,34
22 factors factors are as follows 1,2,11,22
Therefore
From the factors of the individual Number
(1,2,3,4,6,9,12,18,36),( 1,2,17,34),( 1,2,11,22 ) respectively
The greatest common factor is 2
2
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A = 5 B = 3 C = 1
6A - 10B + 3C = ?
Answer:
3
Step-by-step explanation:
6(5)-10(3)+3(1)
6*5=30
10*3=30
3*1=3
30-30+3=3
a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the
Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is [tex]x = 20[/tex]
The range for the middle 3 standard deviation is [tex]10 \to 40[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 25[/tex]
The median is [tex]m = 24[/tex]
The mode is [tex]n = 26[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Generally the 16th percentile is mathematically represented as
[tex]P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/te
Generally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]
So
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = 0.16[/tex]
Now from the normal distribution table the z-score of 0.16 is
z = -1
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = P(Z \le -1 )[/tex]
=> [tex]\frac{x- 25}{5} = -1[/tex]
=> [tex]x- 25 = -5[/tex]
=> [tex]x = 25-5[/tex]
=> [tex]x = 20[/tex]
The range for the middle 3 standard deviation is mathematically represented
[tex]\mu - 3\sigma \to \mu + 3\sigma[/tex]
[tex]25 - 3(5 ) \to 25 + 3(5 )[/tex]
[tex]10 \to 40[/tex]
For the following questions, solve for the missing rate, base or product (round to the nearest hundredth if needed): 25% of 320 is
Answer:
80
Step-by-step explanation:
let the unknown value be x.
[tex]\frac{25}{100}*320=x\\ \frac{25*320}{100}=x\\ \frac{8000}{100}=x\\ 80=x[/tex]
Answer:
[tex]\huge\boxed{80}[/tex]
Step-by-step explanation:
[tex]25 \% \ of \ 320[/tex]
% means out of hundred and of means to multiply.
=> [tex]\\\frac{25}{100} * 320\\[/tex]
=> 0.25 * 320
=> 80
4b + 11 + 8b + 1 = 180
Answer:
b=14
Step-by-step explanation:
Add 4b and 8b, which you get 12b. Then you add 11 and 1 which you get 12.
12b + 12 = 180 is the next equation.
Afterwards, you subtract 12 from 180.
12b = 168
Divide 12b from 168.
b = 14
Find for B?
Mk in this equation
4b + 11 + 8b + 1 = 180
Subtract 11 and 1 from both sides
4b + 8b = 168
Combine unknowns
12b = 168
Find b by dividing by 12
Thus, B = 14
Hope this helps,
Jeron
P.S, if you found this really helpful, consider marking brainliest, (you don't have to btw)
Please help, enter your answer as a number to a power!
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step by step.
[tex]9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= ( 9x^{-53}[/tex] × [tex]9x^{37})[/tex]
[tex]= 9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= 9x^{-16}[/tex]
[tex]= \frac{1}{_{9} 16}[/tex]
[tex]= \frac{1}{1853020188851841}[/tex] (Decimal: 0)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Find ????⋅ ???? if |????|=3 , |????|=9 , and the angle between ???? and ???? is π2 radians.
a.b = _______
Answer:
[tex]a{\cdot}b=0[/tex]
Step-by-step explanation:
It is given that,
Magnitude of a A, [tex]|A|=3[/tex]
magnitude of B, [tex]|B|=9[/tex]
The angle betwern a and b is [tex]\dfrac{\pi}{2}\ rad=90^{\circ}[/tex]
Dot product,
[tex]a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0[/tex]
So, a.b is equal to 0.
Divide 3/12 divide 9
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
Convert 3 1/2 to a mixed number. It should now look like this: 7/2Write out the new expression: [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{9}{1}[/tex] Multiply by the reciprocal of 9/1: [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{9}[/tex] = [tex]\frac{7}{18}[/tex]Answer:
7/18
Step-by-step explanation:
What guides a researcher when deciding between using either linear, logistic, or Cox proportional hazards regression as an analysis tool
Answer:
The outcome variable type (continuous, binary, or time -to- event)
Explanation:
The outcome variable type is the type of variables involved in a research. The researcher would put the type of variable involved in his research into consideration in deciding what regression model to apply in his research. For example, if the type of variable in his research are continuous variables(continuous variables are variables that may be any value within a range and may be infinite), he would use linear regression
The outcome variable type for the particular analyses utilizing the regression model.
When determining a regression model that can be used in his experiment or investigation, perhaps the researcher needs to examine the type of classification concerned.Like, the numbers or scores a person receives on a test are the product of hard work assessed in the total hours spent studying and intellect evaluated in IQ, which has been independent factors.
Thus the response above is correct.
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Find the Product. 437 × 16
Answer: [tex]6692[/tex]
Look at the image for work...
Find the distance between these points.
C(0, 4), T(-6, -3)
√(37)
√(109)
√(85)
Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the y and x values, square them, add them, and then find the square root of that.
We subtract our y values.
-3-4=-7
And then our x values.
-6-9=-6
We square these values.
-7²=49
-6²=36
We add these.
49+36=85
And we find the square root, giving us √85.
Have a wonderful day! :D
Answer:
√85.
Hopefully this helps a bit, I don't really understand math much, but when I calculated, this is what I got:
Step-by-step explanation:
Subtract your y values.
-3-4=-7
And then your x values.
-6-9=-6
You square these values.
-7²=49
-6²=36
You add these.
49+36=85
And you find the square root, giving you √85
1. Morgan works as a chef at a local restaurant. She makes $15.50 per hour
She worked 30 hours this week. How much money did she earn?
Answer:
$465 for that week
Step-by-step explanation:
Since Morgan makes $15.50 an hour and she works for 30 hours the answer would be multiplication which would be this:
$15.50 × 30 = $465
Hope this Helps :)
Answer:
she earned $465
Step-by-step explanation:
you multly the money by the hours
$15.50 x 30= 465
Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...
Answer:
-58
Step-by-step explanation:
The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.
Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d
aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12
Therefore, a₁₄ = -5 * 14 + 12 = -58.
Which symbols correctly relates the 2 numbers 55?35
Answer:
>
Step-by-step explanation:
55 is greater than 35, so the open "mouth" of the greater than sign should go towards 55.
Answer:
>
Step-by-step explanation:
Please helppppppppppppp
Answer:
the 5th diagram illustrates
{(-4, 1), (-3,5), (-1,0), (6, 2), (9,5)} is this a function or not?
Which of the following is a correct comparison of two rational numbers?a. 1.5 > 5/3b. 2.5 < 0.25c. 0.07 > 7/10d. 0.6 > 4/7
Answer:
d. 0.6 > 4/7
Step-by-step explanation:
a. 1.5 > 5/3
From part a, it is given that 1.5 is greater than 5/3
changing 5/3 to decimal figure, we get 1.67
Thus, the claim that 1.5 > 1.67 is not valid because 1.67 is greater than 1.5
b. 2.5 < 0.25
given that 2.5 is less than 0.25 is not valid because 2.5 is greater than 0.25
c. 0.07 > 7/10
if we convert 7/10 to decimal figure, we get 0.7
the claim that 0.07 is greater than 0.7 is not valid because 0.7 is greater than 0.07
d. 0.6 > 4/7
If we convert 4/7 to decimal figure, we get 0.57
Therefore, the claim that 0.6 is greater than 0.57 is accurate and valid
Hence, Option d is the correct answer.
a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?
Answer:
Step-by-step explanation:
acceleration, a = 20 m/s^2
initial velocity, u = 0 since it starts from rest
final velocity, v = 400 m/s
v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hope this helps
plz mark as brainliest!!!!
It will take 20 sec the rocket reach a velocity of 400 m/s
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
We are given that manned rocket accelerates at a rate of 20 m/s2 during launch
The acceleration, a = 20 m/s^2
The initial velocity, u = 0 since it starts from rest
The final velocity, v = 400 m/s
Therefore, v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hence, It will take 20 sec the rocket reach a velocity of 400 m/s
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