Answer:
74,76,78,80,82
Step-by-step explanation: even numbers are whole numbers that have 0,2,4,6,8 in their ones place
The side lengths of a triangle are 5, 12, and 13. Is this a right triangle?
Answer:
yes, it is right triangle
Step-by-step explanation:
to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.
next, the angle between 12 and 5 must be 90 to prove that it was right triangle
to prove that, let's use cosinus theorem
[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]
from that, we know it is a right triangle
Julio purchased 1,700 shares of a certain stock for $23,750 (including commissions). He sold the shares 3 year(s) later and received $32,500 after deducting commissions. Find the effective annual rate of return on his investment over the 3-year period.
Group of answer choices
10.50%
10.59%
10.73%
11.02%
Answer:
The annual interest rate of return during his investment was 12.28%.
Step-by-step explanation:
Since Julio purchased 1,700 shares of a certain stock for $ 23,750 including commissions, and I have sold the shares 3 years later and received $ 32,500 after deducting commissions, to find the effective annual rate of return on his investment over the 3-year period the following calculation must be performed:
23,750 = 100
32,500 = X
32,500 x 100 / 23,750 = X
3,250,000 / 23,750 = X
136.84 = X
(136.84 - 100) / 3 = X
36.84 / 3 = X
12.28 = X
Therefore, the annual interest rate of return during his investment was 12.28%.
The locus of points in a plane 1 unit from the point (0,0)
Answer:
x² + y² = 1
Step-by-step explanation:
A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center of the circle and r is the radius of the circle.
Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:
[tex](x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1[/tex]
C What is the volume of the rectangular prism? 3 2 3. m 8 mm 9 mm
Answer:
267.75
Step-by-step explanation:
i think this because that what I got by multiplying 3 1/2 x 9 x 8 1/2
Fun question: Which Disney character is your favorite?
Make sure it’s detailed!! Will give out Brainlist!!
Answer:
Belle is my fav.
Step-by-step explanation:
She loves to read books like me and I hate people who always go out there and try to impress me with something.
click on picture to see
Answer:
try letter B
Step-by-step explanation:
and can you be my friend
Answer:
Step-by-step explanation:
C the quotient would be N/12 not 12/N
A simple random sample of 6,250 history majors at U.S. universitites was taken. Almost all of them could correctly name Abraham Lincoln's second Vice President, but only 11.3% of them knew his first Vice President. If possible, find a 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President. If this is not possible, why not
Answer:
The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
6250 students, 11.3% knew Abraham Lincoln's first vice-president.
This means that [tex]n = 6250, \pi = 0.113[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 - 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.105[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 + 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.121[/tex]
As percentages:
0.105*100% = 10.5%
0.121*100% = 12.1%
The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).
Find the length of the third side. If necessary, write in simplest radical form. 9 5
Step-by-step explanation:
[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]
Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to contribute $15 each. Write an inequality that represents Alejandra’s situation.How many friends will need to contribute for Alejandra to reach her goal?
Answer:
15x + 190 >= 400
* >= means greater than or equal to *
at least 14 friends
Step-by-step explanation:
without the inequality it'd be 15x + 190 = 400
but since you want it to be at least 400 you change the = to the greater than or equal to sign
15x + 190 = 400 * subtract 190 from both sides*
15x = 210 *divide both sides by 15*
x = 14
What would x be for this to be true -4x=5
Answer:
x = -5/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-4x = 5
Step 2: Solve for x
[Division Property of Equality] Divide -4 on both sides: -4x/-4 = 5/-4Simplify: x = -5/4Answer:
x = -5/4
Step-by-step explanation:
-4x = 5
Divide both sides by -4
x = -5/4
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
How many packs of pens does the manufacturer make, and how many pens are left over?
Answer:
1,408 packs can be made, and 2 pens will be left out.
Step-by-step explanation:
Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:
5.634 / 4 = X
1,408.5 = X
5,634 - (1,408 x 4) = X
5.634 - 5.632 = X
2 = X
Therefore, 1,408 packs can be made, and 2 pens will be left out.
Answer: 1,408 packs can be made and 2 will be left out
Step-by-step explanation:
Factor the polynomial:4x^4y^2-16x^4y^2+8x^2y
Answer:
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
Step-by-step explanation:
Given
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Required
Factor
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Factor out [tex]4x^2[/tex]
[tex]4x^2(x^2y^2 - 4x^2y^2+2y)[/tex]
Factour out y
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
What is the difference in elevation between -92 and 3720
A recent survey stated ''4 out of 5 dentists prefer Clean Toothpaste.'' There were 80 dentists in the survey. How many dentists preferred Clean Toothpaste
A: 36
B: 44
C: 64
D: 100
Write the standard equation of the circle with center (1,2) and radius of 2
Answer:
(x – h)2+ (y – k)2 = r2
Step-by-step explanation:
Please help!!!!! I will make you best answer!!!!
Factor each.
7) f(x)=x4 – x² - 6
A) f(x) = (x² + 2)(x² – 3)
B) f(x) = (x² + 2)(x² + 4)
C) f(x) = (x² + 3)(x² – 3)
D) f(x) = (x2 + 4)(r? - 3)
Answer:
Option A
Step-by-step explanation:
Given function is,
[tex]f(x)=x^4-x^2-6[/tex]
Hint: [tex](-1=-3+2)[/tex] and [tex](-3)(2)=-6[/tex]
[tex]f(x)=x^4-3x^2+2x^2-6[/tex]
[tex]=x^2(x^2-3)+2(x^2-3)[/tex]
[tex]=(x^2+2)(x^2-3)[/tex]
[tex]f(x)=(x^2+2)(x^2-3)[/tex] is the factored form of the given function.
Option A will be the correct option.
Use the quadratic formula to solve x2 – 3x - 2 = 0.
Answer:
x = 2 , 1
Step-by-step explanation:
Answer:
2.5 or 3.5
Step-by-step explanation:
The quadratic formula is [tex]x = -b +/- \frac{\sqrt{b^2 + 4ac}}{2a}[/tex] .
a, b, and c are determined by the terms in the formula ax^2 + bx + c
They gave you the equation x^2 - 3x - 2, which fits that formula. a is 1, b is -3, and c is -2. So plug those values into the equation:
[tex]x = -(-3) +/- \frac{\sqrt{(-3)^2 + 4(1)(-2)}}{2(1)}[/tex]
[tex]x = 3 +/- \frac{\sqrt{9 -8}}{2}[/tex]
[tex]x = 3 +/- \frac{\sqrt{1}}{2}[/tex]
[tex]x = 3 +/- \frac{1}{2}[/tex]
So x is 3 plus or minus -1/2. 3 plus -1/2 is 2.5
3 minus -1/2 is 3.5
So the 2 possible x values are 2.5 and 3.5.
A 250
B 1000
C 1750
D 5000
Answer: b
Step-by-step explanation: divide and round
Answer:
I believe the best answer is A
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct a 95% condence interval for the proportion of water specimens that contain detectable levels of lead
Answer:
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.
This means that [tex]n = 42, \pi = \frac{26}{42} = 0.619[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 - 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.472[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 + 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.766[/tex]
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
The makers of MaxGrow want to ensure customers that their product will work under a wide variety of conditions such as a variety of watering conditions (no added water or watering daily) and how much fertilizer was used (no fertilizer, half fertilizer, or full fertilizer). The researchers randomly choose which group each tomato plant will be assigned to. At the end of the experiment, the number of tomatoes picked from each tomato plant is recorded.
a. Identify the subjects.
b. Explanatory variables
c. Treatments
d. Response variable
Answer:
Subject : Tomato plant
Explanatory variables : Watering condition ; Fertilizer addition
Treatment : daily watering ; half fertilizer ; full fertilizer
Response variable = Number of tomato picked
Step-by-step explanation:
Subjects are the individuals, animals or plants upon which treatment is applied. The subject here are the tomato plants
The Explanatory variables are the independent variables upon which we want base the variation of the dependent variable. The Independent variables are the watering condition a d the amount of fertilizer added.
Treatment : These are the actual changes made or applied on the subject, they include, daily watering, full or half fertilizer application.
Response variable : The number of tomatoes picked. This is also called the dependent variable, it is the outcome which may be due to the effect of the independent variable.
At a school, there are 28 students for every 2 teachers. What is the ratio of teachers to students?
14:1
If im wrong oops
Answer: 1:14
Step-by-step explanation:
28/2 = 14
what is the answer for this question
(x + 3)^4
(x+3)4
=(x+3)4
=(x+3)*(x+3)*(x+3)*(x+3)
=x4+12x3+54x2+108x+81
if anyone needs help with figuring out the triangle degrees math stuff im the gal! I will take a look at it and walk u threw it/explain how i got the answer or other math like linear equations!
What is the answer correct answer someone please tell me I need the answer ASAP
You will get brainlest if it’s correct
Answer: 180
Step-by-step explanation: you do 2 divided by 5 and get 0.4 then multiply that by 450
Compute the height (in meters) of a cylinder with a radius of 2m and
volume 138 cubic meters. Round to the nearest meter.
Answer: 10.98 meters
Step-by-step explanation:
Given that the triangles shown below are similar, what is the value of x? 32 20 H 48M P A. 96 B. 10.7 C. 24 D. 20
Answer:
I DONT SEE TRIANGLES
Step-by-step explanation:
plzzzzzzzz help for a brainly
Answer:
Complementary angles are 90°
Supplementary angles are 180°
Vertical angles are congruent
Answer:
Complementary Angles: add up to 90
Supplementary Angles: add up to 180
Vertical Angles: are congruent(equal)
Step-by-step explanation:
An additional amount of money added to borrowed money only on principal is what kind
of interest?
-Interest rate
-Terms
-Simple Interest
-Compound interest
Answer:
simple interest
Step-by-step explanation:
An additional amount of money added to borrowed money only on the principal could be simple interest.
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.
we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.
Learn more about simple interest here:
https://brainly.com/question/5319581
#SPJ2
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
Answer:
Jocelyn's plane travelled 3650 miles.
Step-by-step explanation:
mph stands for miles per hour.
Let's set up an equation.
total miles = speed(hours)
Jocelyn's plane travelled 500 mph for 7.3 hours.
total miles = 500(7.3)
Multiply.
total miles = 3650
Jocelyn's plane travelled 3650 miles.
Hope this helps!