Answer:
B) 57°
Step-by-step explanation:
114÷2=57
Witch expression is not equivalent to 8+(n-4)
Ana took out a $600 loan from the bank. At the end of 5 years, she pays back $60 in interest. What was the interest rate?
Answer:
Ana payed a 10% interest rate.
Please help I’ll mark you as brainliest if correct!
PLEASE HELP I WILL GIVE BRANLIEST IF YOUR ANSWER IS CORRECT!
Answer:
1:4
2:8
3:12
4:16
Step-by-step explanation:
determine the mean of the numbers:
28 40 53 39 45
Answer:
Mean of the numbers is 41
Step-by-step explanation:
1) You add 28 + 40 + 53 +39 +45
2) Divide whatever number by 5 because that is how many numbers there are given
In this case it would 205 divided by 5 which is how I get 41
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.
This means that [tex]\mu = 30, \sigma = 2[/tex]
Sample of 400 batteries. The sampling distribution of is approximately:
So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Please help me with this question
9514 1404 393
Answer:
24 cm
Step-by-step explanation:
The perimeter of the left-side triangle is ...
20 +25 +15 = 60 cm
The scale factor to the right-side triangle is the ratio of corresponding sides. The scale factor of perimeters is the same.
XZ/LN = perimeter(XYZ)/perimeter(LMN)
6/15 = P/(60 cm)
P = (60 cm)(6/15) = 24 cm
The perimeter of ΔXYZ is 24 cm.
Help me out thanks !!!!!!
Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
Answer:
[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]
7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.
Answer:
It will take 23 years for the account to grow to $7000.
Step-by-step explanation:
Simple Interest
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Carly has a bank account with a balance of $3,575.
This means that [tex]P = 3575[/tex]
The account pays simple interest at a rate of 4.15%.
This means that [tex]I = 0.0415[/tex]
How long will it take for the account to grow to $7000?
[tex]T = 7000[/tex]
The interest is:
[tex]T = E + P[/tex]
[tex]E = T - P = 7000 - 3575 = 3425[/tex]
Now we have to find t.
[tex]E = P*I*t[/tex]
[tex]3425 = 3575*0.0415*t[/tex]
[tex]t = \frac{3425}{3575*0.0415}[/tex]
[tex]t = 23.1[/tex]
Rounding to the nearest year, it will take 23 years for the account to grow to $7000.
(7.11 x 10') (2.97 x 10-3)
Answer:
The answer is 1898.37
if you click the image it will show you how to solve the equation. I hope this helps you.
-44=8p+4 show me how to solve this
which expression is equivalent to 5 ^6
Answer:c
Step-by-step explanation:i tookthe test
125*125, since its 5*5*5*5*5*5
please help i will give extra points
The answer would be 16
8. What is m A to the nearest tenth?
A
14.1
22.9
B
Using Heron's Formula, find the Area.
Sides are 7 13 8
Answer:
10.3
Step-by-step explanation:
hope this helps, if any genius answers as well, give brainliest to them
Answer:
[tex]\Huge\boxed{A=24.25}[/tex]
Step-by-step explanation:
Herons Formula:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s = semi perimeter ( perimeter of triangle divided by 2)
and a,b and c = triangle side lengths
Before we can solve we need to calculate the semi perimeter
7 + 13 + 8 = 28
then we divide by 2
28/2=14
so the semi perimeter is 14
now we plug in everything into the formula
[tex]A=\sqrt{14(14-13)(14-8)(14-7)} \\14 - 13=1\\14-7=7\\14-8=6\\A=\sqrt{14(1)(6)(7)} \\14*1=14\\14*7=98\\98*6=588\\A=\sqrt{588} \\\sqrt{588} =24.24871131[/tex]
so we can conclude that the area of the triangle is 24.24871131
our final step is to round to the nearest hundredth
A = 24.25
Find the exact value of cos A in simplest radical form.
How do I graph the following features: Slope =3 and Y intercept =1
Answer:
To graph a linear equation in slope-intercept form, we can use the information given by that form.
The equation of a line with slope 3 and y-intercept of 1 is y = 3x + 1 and hence can be graphed.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.
Given, A line has a slope of 3 and a y-intercept of 1.
We know the equation of a line in slope intercept form is, y = mx + b.
Therefore, The equation of a line having a slope of 3 and a y-intercept of 1 is y = 3x + 1.
learn more about lines and slopes here :
https://brainly.com/question/16180119
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a gift box in the shape of a rectangular prism measures 8in by 8in by 10in. what is the least amount of wrapping paper needed to wrap the gift box?
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is
A=2(xy+xz+yz), where x,y,z are the dimensions, in this case
A=2(8(8)+8(10)+8(10))
A=2(64+80+80)
A=2(224)
A=448in^2
So the minimum amount of wrapping paper is 448in^2
Calculate the total area of the triangular prism.
Answer:
35 + 28 + 21 + 6 + 6 = 96
Add the fractions simplify your answer 2 7/8 + 2 3/8
Answer:
5 1/4 or 21/4
Answer:
5 1/4 or 5.25
Step-by-step explanation:
2 7/8 + 2 3/8 Equation
23/8 + 19/8 Turn into improper fraction
42/8 Add
21/4 Simplify (divide numerator and denominator by 2)
5 1/4 (5.25) Turn into mixed fraction or decimal
Can y’all help me ?
I only have 10 minutes
Please - see the picture
Given the equation 2 Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution
Answer:
Step-by-step explanation:
2√(x-5) = 2
√(x-5) = 1
x-5 = 1
x = 6
how do I solve polynomials
Answer:
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"
Also they can have one or more terms, but not an infinite number of terms.
These are polynomials:
3x
x − 2
−6y2 − ( 79)x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)
These are not polynomials
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
Monomial, Binomial, Trinomial
There are special names for polynomials with 1, 2 or 3 terms:
monomial, binomial, trinomial
Variables
Polynomials can have no variable at all
Example: 21 is a polynomial. It has just one term, which is a constant.
Or one variable
Example: x4 − 2x2 + x has three terms, but only one variable (x)
Or two or more variables
Example: xy4 − 5x2z has two terms, and three variables (x, y and z)
What is Special About Polynomials?
Because of the strict definition, polynomials are easy to work with.
For example we know that:
If you add polynomials you get a polynomial
If you multiply polynomials you get a polynomial
So you can do lots of additions and multiplications, and still have a polynomial as the result.
Also, polynomials of one variable are easy to graph, as they have smooth and continuous lines.
Example: x4−2x2+x
x^4-2x^2+x
See how nice and
smooth the curve is?
You can also divide polynomials (but the result may not be a polynomial).
Degree
The degree of a polynomial with only one variable is the largest exponent of that variable.
Example:
4x3-x-3 The Degree is 3 (the largest exponent of x)
For more complicated cases, read Degree (of an Expression).
Standard Form
The Standard Form for writing a polynomial is to put the terms with the highest degree first.
Example: Put this in Standard Form: 3x2 − 7 + 4x3 + x6
The highest degree is 6, so that goes first, then 3, 2 and then the constant last:
x6 + 4x3 + 3x2 − 7
You don't have to use Standard Form, but it helps.
A partir dos valores a seguir, determine a lei da função.
Answer:
Ela segue esse modelo
f(x) = ax + b
Então, é só substituir os valores de x e de y na Lei de Formação
Ex: quando x=0, y=-1
y= ax+b
-1=a.0+b
b= -1
È onde a reta toca o eixo y, porque x=0
Agora, vamos usar outro par ordenado.
Quando x=2, y=3
3=a.2+(-1)
3=2a-1
3+1=2a
4=2a
a=4/2
a=2
A lei de formação é essa
a= 2; b=-1
f(x)= ax+b
f(x)=2x-1
The area of the square above is 36. What is the value of x?
A) 2
B) 4
C) 6
D) 9
[tex]\huge\bf{Answer :}[/tex]
The correct answer is c)6
Step by step explanation
Side = x
Area = s × s
36 = x×x
x² = 36
x = √36 = 6
27 is 50% of what number?
Answer:
27 is 50% of 54
Step-by-step explanation:
27 x 2 is 50% x 2
54 is 100%
☁️ Answer ☁️
27 is 50% of 54
We assume, that the number 50 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 50, so we can write it down as 100%=50.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=50
2) x%=27
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=50/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 27 is what percent of 50
100%/x%=50/27
(100/x)*x=(50/27)*x - we multiply both sides of the equation by x
100=1.85185185185*x - we divide both sides of the equation by (1.85185185185) to get x
100/1.85185185185=x
54=x
x=54
-GoogIe
Hope it helps.
Have a nice day noona!~  ̄▽ ̄
can somebody help me with this quickly I forgot how to do this and yeah ill mark you!
Answer:
4/11 i believe
Step-by-step explanation:
need some help give a reason to your answer
like an explanation
giving brainliest
The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At what rate is the volume of the cone changing when the radius is 134 in. and the height is 136 in.
Answer:
Volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].
Step-by-step explanation:
Given: The radius of a right circular cone is increasing at a rate of [tex]1.9[/tex] in/s while its height is decreasing at a rate of [tex]2.2[/tex] in/s.
To find: The rate at which volume of the cone changing when the radius is [tex]134[/tex] in. and the height is [tex]136[/tex] in.
Solution:
We have,
[tex]\frac{dr}{dt} =1.9 \:\text{in/s}[/tex], [tex]\frac{dh}{dt}=-2.2\:\text{in/s}[/tex], [tex]r=134 \:\text{in}[/tex], [tex]h=136\:\text{in}[/tex]
Now, let [tex]V[/tex] be the volume of the cone.
So, [tex]V=\frac{1}{3}\pi r^{2}h[/tex]
Differentiate with respect to [tex]t[/tex].
[tex]\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ][/tex]
Now, on substituting the values, we get
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ][/tex]
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ][/tex]
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ][/tex]
[tex]\frac{dv}{dt} =9916\pi \frac{in^3}{s}[/tex]
Hence, the volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].
Does anyone know this one ?