Answer:
36 = 17+19 ---> They are twin primes and their sum is 3684 = 41+43 ---> They are twin Primes and sum is 84120 = 59+61 ---> They also are twin primes and their sum is 120144 = 71+73 ---> They are also twin primes and the sum is 144There are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes. how many boxes are there all together?
Answer:
There are 51 boxes all together.
Step-by-step explanation:
Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:
3 + 3 x 4 + 3 x 4 x 3 = X
3 + 12 + 36 = X
51 = X
Therefore, there are 51 boxes all together.
find the x – intercepts of the graph of the function f(x) = x2 – 2x + 1
A) (1,0)
B) (-1,0)
C) (0,-1)
D) (0,1)
PLEASE HELP ME ITS URGENT , WILL MARK AS BRAINLIEST!!!
Answer:
[tex]\boxed{\sf A) ( 1,0) }[/tex]
Step-by-step explanation:
A quadratic function is given to us and we need to find the x Intercept of the graph of the given function . The function is ,
[tex]\sf \implies f(x) = x^2 -2x + 1 [/tex]
For finding the x intercept , equate the given function with 0, we have ;
[tex]\sf \implies x^2 -2x + 1 = 0 [/tex]
Split the middle term ,
[tex]\sf \implies x^2-x-x+1=0[/tex]
Take out common terms ,
[tex]\sf \implies x( x -1) -1( x -1) = 0[/tex]
Take out (x - 1 )as common ,
[tex]\sf \implies (x - 1 )(x-1) = 0[/tex]
Equate with 0 ,
[tex]\sf \implies x = 1,1 [/tex]
Therefore the root of the function is 1. Hence the x Intercept is (1,0)
Hence the x Intercept is (1,0) .
Step-by-step explanation:
x² - 2x + 1 = 0
x² - (x + x) + 1 = 0
x² - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
(x - 1)(x - 1) = 0
x = 1
Hence,
Option A
construct an angle that bisect 120°
Answer:
just make a 120 angle and divide it by 2, 60.
I need help with this
Answer:
D.
Step-by-step explanation:
According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.
From the side lengths given, the following satisfies the Pythagorean triple:
5² + 12² = 13².
Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.
Expresa de. Forma fraccionaria y decimal 7%
Answer:
7% = .07 = [tex]\frac{7}{100}[/tex]
Step-by-step explanation:
How many different license plates are possible if each contains 4 letters (out of the alphabet's 26 letters) followed by 2 digits (from 0 to 9)? How many of these license plates contain no repeated letters and no repeated digits? There aredifferent possible license plates. (Simplify your answer.) There are different possible license plates if no letters or numbers are repeated. (Simplify your answer.)
Answer:
There are 45,697,600 different possible license plates. If no letters or numbers are repeated, there are 32,292,000 possible license plates.
Step-by-step explanation:
For the first question, we can repeat letters and digits.
Let [tex]\ell[/tex] represent a letter and [tex]#[/tex][tex]\#[/tex] represent a digit. The license plate format given is:
[tex]\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{n}\:\:{\underline {n}[/tex]
For each letter, there are 26 letters to choose from (alphabet). For each digit, there are 10 numbers to choose from (0-9).
Since we're choosing 4 letters and 2 numbers, the number of possible license plates is:
[tex]26\cdot 26\cdot 26\cdot 26\cdot 10\cdot 10=\boxed{45,697,600}[/tex]
If we stipulate that no letter or digit may be repeated, then we'll still have 26 choices for the first letter, but for the second letter, we'll only have 25. Then 24, 23, and so on. Similarly, for the first digit, there will be 10 choices, then 9, 8, and so on.
Therefore, the desired answer for the second part of the question is:
[tex]26\cdot 25\cdot 24\cdot 23\cdot 10\cdot 9=\boxed{32,292,000}[/tex]
*Note that we don't need to account for rearrangements as [tex]HOCL67[/tex] and [tex]CLHO76[/tex] are considered different license plates (order matters).
sin x =.3 what is the cos x =?
Answer:
If you're asking what cosine 3 is it's 0.9999986292247
Step-by-step explanation:
I don't really understand the question
Subtract 28.9 – 9.25 =_____
Answer:
19.65
Step-by-step explanation:
28.9-9.25=19.65
find the radius of the circle
help is VERY appreciated!!
Answer:
17/16 =x
Step-by-step explanation:
The triangle is a right triangle so we can use Pythagorean theorem
a^2+b^2 = c^2
x^2 + 9^2 = (x+8)^2
FOIL
x^2+81=x^2+16x+64
Subtract x^2 from each side
81 = 16x+64
Subtract 64 from each side
81 -64 = 16x+64-64
17 =16x
Divide by 16
17/16 =x
The triangles below are similar (being similar means there is a proportional relationship between the measures of each of the sides). What is the length of ED? (HINT: You can solve this question by using the MATH Ratio Table)
=================================================
Work Shown:
ED/DF = AB/AC
x/24 = 12/16
16x = 24*12
16x = 288
x = 288/16
x = 18
------------
Explanation:
Because the triangles are similar, we can form the proportion shown above. There are many variations of the proportion that can happen, but they all lead to the same result x = 18.
So for instance, another proportion you could solve is ED/AB = DF/AC.
The key is to keep up the same pattern when forming the ratios.
What I mean by that is when I formed ED/DF I divided the vertical side over the horizontal side for triangle EDF. So to form the second fraction, we must do the same division (vertical over horizontal) for triangle ABC.
find the constant of variation k for the direct variation. 4x = -y
Answer:
k = - 4
Step-by-step explanation:
The equation representing direct variation is
y = kx ← k is the constant of variation
Given
4x = - y ( multiply both sides by - 1 )
- 4x = y , that is
y = - 4x ← in standard form
with k = - 4
Write the equation of a line in slope-intercept form that has a slope of 3/4 and passes through the point (-4, 1).
y equals 0.75 x plus 4
y equals 4 x plus 0.75
y equals minus 4 x plus 1
y equals 0.75 x plus 1
Answer:
y = 3/4 x + 4
y equals 0.75 x plus 4
Step-by-step explanation:
y = 3/4 x + b
1 = 3/4 (-4) + b
1 = -3 + b
b = 4
Answer:
A) y equals 0.75 x plus 4Step-by-step explanation:
Another way to solve this to use the point-slope form:
y - y₁ = m(x - x₁)Substitute the values of m, x₁, y₁ and convert this into slope-intercept form:
y - 1 = 3/4(x - (-4))y - 1 = 3/4x + 3y = 3/4x + 4y = 0.75x + 4Correct choice is A
Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 4x2-x-5 = 0
a.-1
b.-4/5
c.2/3
d.1
e.5/4
f.3/2
Answer:
a. -1
e. 5/4
Step-by-step explanation:
Hi there!
The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] where the given quadratic is in the form [tex]ax^2+bx+c=0[/tex]
From the given equation [tex]4x^2-x-5 = 0[/tex], we can identify the values of a, b, and c:
a=4
b=-1
c=-5
Plug these values into the quadratic formula:
[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}[/tex]
[tex]x=\frac{1\pm9}{8}[/tex]
[tex]x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1[/tex]
Therefore, the solutions to the quadratic are 5/4 or 1.
I hope this helps!
Which graph represents y = |xl?
A
B
C
D
Answer:
B
Step-by-step explanation:
The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.
Answer:
B.
Step-by-step explanation:
I got it correct on the warm up
12. What is the solution of the system of equations?
y = - 2x + 5
y = -2x + 20
no solution
(1,3)
infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
y = - 2x + 5
y = -2x + 20
Set the two equations equal
- 2x + 5 = -2x + 20
Add 2x to each side
- 2x+2x + 5 = -2x+2x + 20
5 = 20
This is never true so there are no solutions
Answer:
no solution
Step-by-step explanation:
Hi there!
We are given this system of equations:
y=-2x+5
y=-2x+20
and we want to find the solution (the point in which the lines intersect)
There are 3 ways to solve a system, but let's use substitution in this case
Both equations are set to y, so they should be equal to each other via a property known as transitivity (if a=b and b=c, then a=c)
-2x+5=-2x+20 (the same as y=y)
Now let's solve for x
add 2x to both sides
5=20
In this case, we got an untrue statement. If this happens, then the lines won't intersect.
If they won't intersect, there's no solution
Hope this helps!
The theoretical mean of a distribution is also known as its ______________.
Answer:
skewness
Step-by-step explanation:
Average.
The average of a set of observations is the most important and useful measure of statistics and is a position measure, as it shows the positions of the numbers to which it refers. The average value is involved in several types of statistics and is examined in almost all statistical distributions. It is generally defined as the sum of the observations by their number. That is, it is the mathematical operation of finding the "mean distance" between two or more numbers.
Learn more about averages in https://brainly.com/question/22390452
A train is traveling at a speed of 60 miles per hour. What happens to the number of miles when the number of hours
changes?
Abebe babe
Answer:
It multiplies
Step-by-step explanation:
if the number of hours changes to example to 2 then you multiply 60 by 2 resulting in 120miles in 2 hours
8P + 2 > 3P - 15
solve for p
Answer: p >-17/5
Step-by-step explanation:
Answer:
P = [tex]\frac{-17}{5}[/tex]
Step-by-step explanation:
Substract 3P from both sides:
5P + 2 > - 15
Subtract 2 from both sides:
5P > -17
Divide both sides by 5:
P = [tex]\frac{-17}{5}[/tex]
Using the Time Series Data for the US Nuclear Electric Power Production, calculate the exponential smoothing forecasts for 2005 through 2010 using alpha equals 0.2. Find the forecast error for each time period. If there is n
Answer:
????????????
I don't know
Evaluate I=∫(sinx+9y)dx + (4x+y)dy for the nonclosed path ABCD in the figure.
Close the path by connecting D to A. Then by Green's theorem, the integral over the closed path ABCDA - which I'll just abbreviate C - is
[tex]\displaystyle \oint_C (\sin(x)+9y)\,\mathrm dx + (4x+y)\,\mathrm dy \\\\ = \iint_{\mathrm{int}(C)}\frac{\partial(4x+y)}{\partial x} - \frac{\partial(\sin(x)+9y)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = -5\iint_{\mathrm{int}(C)}\mathrm dx\,\mathrm dy[/tex]
(where int(C ) denotes the region interior to the path C )
The remaining double integral is -5 times the area of the trapezoid, which is
[tex]\displaystyle -5\iint_{\mathrm{int}(C)}\mathrm dx\,\mathrm dy = -\frac52\times(12+4)\times4=-160[/tex]
To get the line integral you want, just subtract the integral taken over the path DA. On this line segment, we have x = 0 and dx = 0, so this integral reduces to
[tex]\displaystyle\int_{DA}y\,\mathrm dy = \int_{12}^0y\,\mathrm dy = -\int_0^{12}y\,\mathrm dy = -72[/tex]
Then
[tex]\displaystyle \int_{ABCD} (\sin(x)+9y)\,\mathrm dx + (4x+y)\,\mathrm dy = -160 - (-72) = \boxed{-88}[/tex]
Noise levels at 5 volcanoes were measured in decibels yielding the following data: 127,174,157,120,161 Construct the 98% confidence interval for the mean noise level at such locations. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value used is T = 3.747.
The 98% confidence interval for the mean noise level at such locations is (108.944, 186.656).
Step-by-step explanation:
Before building the confidence interval, we need to find the sample mean and the sample standard deviation.
Sample mean:
[tex]\overline{x} = \frac{127+174+157+120+161}{5} = 147.8[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(127-147.8)^2+(174-147.8)^2+(157-147.8)^2+(120-147.8)^2+(161-147.8)^2}{4}} = 23.188[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 5 - 1 = 4
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 4 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.747, which is the critical value used.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.747\frac{23.188}{\sqrt{5}} = 38.856[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 147.8 - 38.856 = 108.944
The upper end of the interval is the sample mean added to M. So it is 147.8 + 38.856 = 186.656.
The 98% confidence interval for the mean noise level at such locations is (108.944, 186.656).
Which number can be written on the line to make the inequality true?
3.91 < ___ < 4.23 < 4.44
a) 3.7
b) 3.9
c) 4.1
d) 4.3
Answer:
[tex]3.7[/tex]
Step-by-step explanation:
[tex]3.9 < 3.7[/tex]
Answer:
answer is A
3.7
Step-by-step explanation:
A popular pain-relieving drug has 100mg of its active ingredient in one capsule. If a bottle has 100 capsules, how many grams of the active ingredient are in the bottle
Answer:
1000
Step-by-step explanation:
I’m so bad at this pls-
Answer:
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} [/tex]
Hope it is helpful....Do number 7 plz finding QR
Answer:
QR = sqrt(147)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
7^2 + QR^2 = 14^2
49 + QR^2 = 196
QR^2 = 196-49
QR^2 = 147
Taking the square root of each side
QR = sqrt(147)
If there is a die that has 12 sides, that are numbered 1 to 12, what is the probability that she will roll either a 3 or a 9
Answer:
2/12 = 1/6
Step-by-step explanation:
To find the probability of something with an equal chance of each outcome, we can apply the formula (number of favorable outcomes)/(number of total outcomes). Because there is an equal chance for each side of the die to be landed on, we can apply this.
On a 12 sided die, there are 12 sides. Two of those sides are 3 and 9. Therefore, there are two favorable outcomes (3 and 9). There are 12 sides to choose from, so there are 12 total outcomes, making the probability 2/12 = 1/6
the sum of the digits of a two digit number is 5. If nine is subtracted from the number it will equal the reversed number. FIND THE EQUATION!! PLEASE!
Answer:
D
Step-by-step explanation:
Perimeter (numerical)
Answer:
270 m
Step-by-step explanation:
Add up all the sides
P = 19 +18.8+18.8 +18.8+18.8+40.8+19+40.8+18.8+18.8+18.8+18.8
P = 270 m
Find the following images in width and circumference
Step-by-step explanation:
hey guys how do you put a picture like you did ?
Simplify 7a – 11b + 4ab – 6a + 5b.