Answer:6/16 or 3/8
Step-by-step explanation:
I did it
Answer: 3/16
Step-by-step explanation:
I NEED HELP WITH THIS! I need to pass...
Answer: A) The log parent function has negative values in the range.
Step-by-step explanation:
The domain of y = ln (x) is D: x > 0
The domain of y = [tex]\sqrtx[/tex][tex]\sqrt x[/tex] is D: x ≥ 0
The range of y = ln (x) is: R: -∞ < y < ∞
So the only valid option is A because the range of a log function contains negative y-values when 0 < x < 1.
WILL MARK BRAINLIEST
PLEASE HELP x
Answer:
3. time = 6.4999 approximately 6.5 years
4. $2235.35
5. $ 3950
Step-by-step explanation:
4. amount of interest = final amount - principle= 7535.35 - 5300 = 2235.35
5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950
Jordan and his bro got 100 dollar to divied up. If 1/3 of the money jordon got was the same as 1/2 the money his bro got how much money did his bro get
Answer:
Jordon's brother got $40
Step-by-step explanation:
We can set up a system of equations to solve this.
Let's say that Jordon got x dollars.
His brother got y dollars.
x+y=100 since they are dividing the 100 dollars
1/3x=1/2y (the same indicates that they are equal)
Multiply the entire second equation by 3.
x=1.5y
Now we can substitute 1.5y in for x in the first equation.
x+y=100
1.5y+y=100
2.5y=100
Divide both sides by 2.5
y=40
Jordon's brother got $40.
Plug that in to find how much Jordon got.
x+y=100
x+40=100
Subtract 40 from both sides
x=60
Jordon got 60.
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. The standard error of the mean is
Answer: 2.
Step-by-step explanation:
Number of samples = 121
Average speed (sample mean) = 65mph
Population standard deviation = 22 mph
The standard error of the mean is:
Standard error of the mean(S.Em)
Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.
S.Em = standard deviation / √same size
S.Em = 22 / √121
S.Em = 22 / 11
S.Em = 2
Find the area ratio of a regular octahedron and a tetrahedron regular, knowing that the diagonal of the octahedron is equal to height of the tetrahedron.
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The area of a regular octahedron is given by:
area = [tex]2\sqrt{3}\ *edge^2[/tex]. Let a is the length of the edge (diagonal).
area = [tex]2\sqrt{3}\ *a^2[/tex]
Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.
a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:
[tex]h=\sqrt{\frac{2}{3} } e\\but\ h=a\\a=\sqrt{\frac{2}{3} } e\\e=\sqrt{\frac{3}{2} }a[/tex]
The area of a tetrahedron is given by:
area = [tex]\sqrt{3}\ *edge^2[/tex] = [tex]\sqrt{3} *(\sqrt{\frac{3}{2} }a)^2=\frac{3}{2}\sqrt{3} *a^2[/tex]
The ratio of area of regular octahedron to area tetrahedron regular is given as:
Ratio = [tex]\frac{2\sqrt{3}\ *a^2}{\frac{3}{2} \sqrt{3}*a^2} =\frac{4}{3}[/tex]
Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.
Given Information:
Monthly payment = MP = $1500/4 = $375
Monthly interest rate = r = 25/12 = 2.083%
Required Information:
Present Value = ?
Answer:
[tex]PV = \$10,110[/tex]
Explanation:
n = 10*4
n = 40 monthly payments
The present value is found by
[tex]$ PV = MP \times \frac{ (1 - \frac{1}{(1+r)^n} )}{r} $[/tex]
Where r is monthly interest rate.
MP is the monthly payment.
[tex]$ PV = 375 \times \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083} $[/tex]
[tex]PV = 375 \times (26.96)[/tex]
[tex]PV = \$10,110[/tex]
Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.
In a game, one player throws two fair, six-sided die at the same time. If the player receives a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once
Answer:
probability that a player wins after playing the game once = 5/9
Step-by-step explanation:
To solve this, we will find the probability of the opposite event which in this case, it's probability of not winning and subtract it from 1.
Since, we are told that there are 2 fair six sided die thrown at the same time and that he receives a five or a one on either die ;
Probability of not winning, P(not win) = 4/6.
Thus;
P(winning) = 1 - ((4/6) × (4/6))
P(winning) = 1 - 4/9 = 5/9
a student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?
(plz tell me how to figure it out)
Answer:
80%
Step-by-step explanation:
The basic idea of this problem is to convert [tex]\frac{44}{55}[/tex] into a percentage. [tex]\frac{44}{55}[/tex] can be simplified to [tex]\frac{4}{5}[/tex] which is also 80%.
Answer:
Step-by-step explanation:
44 out of 55
divide :44/55=0.8
to convert it to decimal you multiply by 100 and put percentage next to it
0.8*100=80
%80
The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x)= 2^x. Determine the size of shift from function f to function g. Then plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function g. Table x 0 1 2 3 4 g(x) -11 -10 -8 -4 4
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y + 1 = 0?
4 x + y + 6 = 0
4 x + y - 6 = 0
4 x - y - 6 = 0
Answer:
The answer is
4x + y - 6 = 0Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
4x + y + 1 = 0
y = - 4x - 1
Comparing with the above formula
Slope / m = - 4
Since the lines are parallel their slope are also the same
That's
Slope of the parallel line is also - 4
Equation of the line using point ( 1 , 2) is
y - 2 = -4(x - 1)
y - 2 = - 4x + 4
4x + y - 2 - 4
We have the final answer as
4x + y - 6 = 0Hope this helps you
Solve this system of linear equations. Separate
the x- and y-values with a comma.
15x + 4y = -80
5x + 5y = 10
Answer:
(-8,10)
Step-by-step explanation:
hope i helped!
u can substitute if u want to recheck
can i get brainliest pls?
-Zylynn
This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5? a. 8 b. 12 c. 6 d. 16
Answer:
[tex]\boxed{12}[/tex]
Step-by-step explanation:
When x = 3, y = 13
When x = 5, y = 37
Subtract both y-values to find the change:
37 - 13 = 24
Average of the change:
[tex]\frac{24}{2}[/tex] = 12
Which sequence of transformations creates a similar but not congruent triangle?
A. Dilation and reflection
B. Reflection and rotation
C. Reflection and translation
D. Translation and rotation
Answer:
A. Dilation and reflectionStep-by-step explanation:
There are the same angles in similar triangles but sides not necessarily.
In congruent triangles there are the same angles and the same sides.
Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.
Which list of ordered pairs represents solutions to x+y=2?
(-4, 6), (0, 2), (4, 2)
(-4, 6), (0, 2), (4, -2)
04-4, -6), (0, 2), (4, 2)
Answer:
(-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
You just need to guess and check.
(-4,6) → -4 + 6 = 2 ✔
(0,2) → 0+2 = 2 ✔
(4,2) → 4 + 2 = 6
(4, -2) → 4 - 2 = 2 ✔
(-4,-6) → -4 - 6 = -10
The correct answer is the second list (-4, 6), (0, 2), (4, -2)
a system of linear equations is given by the tables. One of the tables is represented by the equation y= -1/3x + 7
the equation that represents the other equation y= x +
the solution of the system is ( , )
Answer:
Other equation: y = 1/3x + 5
Solution: (3, 6)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Identify tables
1st table is the unknown equation
2nd table is the known equation (found using y-intercept 7)
Step 2: Find missing equation
m = (6 - 5)/(3 - 0)
m = 1/3
y = 1/3x + b
5 = 1/3(0) + b
5 = b
y = 1/3x + 5
Step 3: Find solution set using substitution
1/3x + 5 = -1/3x + 7
2/3x + 5 = 7
2/3x = 2
x = 3
y = 1/3(3) + 5
y = 1 + 5
y = 6
Which table of values will generate this graph? On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0). A 2-column table with 2 rows. Column 1 is labeled x with entries negative 4, 1. Column 2 is labeled y with entries negative 2, 3. A 2-column table with 2 rows. Column 1 is labeled x with entries negative 2, 3. Column 2 is labeled y with entries negative 4, 1. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 0, 1. Column 2 is labeled y with entries 0, negative 2, 3, 0. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 0, 3. Column 2 is labeled y with entries 0, negative 4, 1, 0.
Answer:
Option D.
Step-by-step explanation:
The given points are (-2,0), (0,1), (0,-4) and (3,0).
In each ordered pair first element is x-coordinate and second is y-coordinate.
For 4 points, the table must have 2 columns and 4 rows.
So, the required table of values is
x y
-2 0
0 -4
0 1
3 0
Therefore, the correct option is D.
Solve for $x$, where $x > 0$ and $0 = -21x^2 - 11x + 40.$ Express your answer as a simplified common fraction.[tex]Solve for $x$, where $x \ \textgreater \ 0$ and $0 = -21x^2 - 11x + 40.$ Express your answer as a simplified common fraction.[/tex]
Answer:
[tex]\large \boxed{\sf \ \ \dfrac{8}{7} \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
The solutions are, for a positive discriminant:
[tex]\dfrac{-b\pm\sqrt{\Delta}}{2a} \ \text{ where } \Delta=b^2-4ac[/tex]
Here, we have a = -21, b = -11, c = 40, so it gives:
[tex]\Delta =b^2-4ac=11^2+4*21*40=121+3360=3481=59^2[/tex]
So, we have two solutions:
[tex]x_1=\dfrac{11-59}{-42}=\dfrac{48}{42}=\dfrac{6*8}{6*7}=\dfrac{8}{7} \\\\x_2=\dfrac{11+59}{-42}=\dfrac{70}{-42}=-\dfrac{14*5}{14*3}=-\dfrac{5}{3}[/tex]
We only want x > 0 so the solution is
[tex]\dfrac{8}{7}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Use cubic regression to find a function that fits the following points.
Answer:
Step-by-step explanation:
To use the regression function on your calculator, first hit STAT then choose 1:Edit by pressing ENTER. Then a table pops up. If it's not clear, arrow up to L1, hit CLEAR then ENTER and the table empties. Do the same with L2. Arrow left and right as needed to get from one column to the other. Then in L1 enter the x values one at a time, hitting ENTER after each. When all the x values are in, arrow over to L2 and enter the y values in the same way.
Next, hit STAT again, then right arrow over to CALC. Choose 6:CubicReg by either arrowing down to it or by pressing 6. If you have a TI 83+, the equation comes right up for you; if you have a TI 84+ or 84+CE, you have to arrow down to CALCULATE and hit ENTER to get your equation. The equation is
[tex]-2x^3+2x^2-4x+3[/tex] with a coefficient correlation (r-squared) value of 1 which means this is a perfect equation for this data and all the points you entered into the table fall perfectly on this curve.
Which kind of symmetry does the word TOOT have?
Answer:
Linear symmetry.
Step-by-step explanation:
The word 'TOOT' can be reflected in y-axis if a point (0,0) on cartesian plane divides the words' TO' and 'OT' equally.
Jane exchanged £100 for 216 Swiss francs. After buying a meal and a present to take home,she had 70 francs left.How much is this in £?
Answer:
£32.4
Step-by-step explanation:
£100 = 216 Swiss francs
x = 70 francs
70 x 100=7000/216=32.4
In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?
Answer:
m∠AVF = 158°
Step-by-step explanation:
In the diagram attached,
m∠AVD = m∠BVE = m∠CVF = 90°
m∠CVD = 22°
∠AVB = ∠EVF
Since ∠AVD = ∠AVC + ∠CVD
Therefore, 90° = m∠AVC + 22°
m∠AVC = 90° - 22°
= 68°
Similarly, m∠CVF = m∠CVD + m∠DVF
90° = 22° + m∠DVF
m∠DVF = 68°
m∠AVC = m∠DVF = 68°
Now ∠AVF = ∠AVD + ∠DVF
= 90° + 68°
= 158°
What is the mode for this set of data? 5,6,13,2,6,11,6,5,3,14
Answer:
6
Step-by-step explanation:
6 appears the most
Answer:
6
Step-by-step explanation:
Put the data in order from smallest to largest
5,6,13,2,6,11,6,5,3,14
2,3,5,5,6,6,6,11,13,14
The mode is the number that appears most often
6 appears most often so it is the mode
Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 units above the pole
Answer:
The equation in the polar form is;
[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex]
Step-by-step explanation:
e = 3/4 > 1, we have an hyperbola
The polar equation of a conic is of the form;
For vertical directrix
[tex]r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}[/tex]
For horizontal directrix
[tex]r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}[/tex]
Where;
k = Distance from the focus to the directrix = 2
We have;
[tex]r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]
[tex]r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]
Which gives the equation in the polar form as follows;
[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex].
Please help ill rate 5 stars and give brainlyest
Answer:
Option C.
Step-by-step explanation:
It is given that, a menu at a local diner has
Appetizers = 12
Entrees = 8
Choice of desserts = 4
We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.
Total ways to select an Appetizers = 12
Total ways to select an entrees = 8
Total ways to select a desserts = 4
Now,
Total combinations for different meal [tex]=12\times 8\times 4=384[/tex]
Therefore, the correct option is C.
Answer:
see below
Step-by-step explanation:
the answer is c
Combine like terms.
-2x4+16+2x4+9-3x5
Answer:
25 - 3x^5
Step-by-step explanation:
-2x^4+16+2x^4+9-3x^5
Combine like terms
-2x^4+2x^4+9+16-3x^5
0 + 25 -3x^5
Answer:
3x^5-25
Step-by-step explanation:
you but the terms with the same power together and don't forget to add the signs that are in front of each terms when combining.
four less than three times a number is 20
Answer:
3x-4
Step-by-step explanation:
Have a good day!!
Answer:
3x-4
Step-by-step explanation:
At the shop near the beach, ice cream is offered in a cone or in a cylindrical cup as shown
below. The ice cream fills the entire cone and has a hemisphere on top. The ice cream
levelly fills the cylindrical cup.
radius of cone= 3 cm
radius of cylinder= 4.5 cm
height of cone = 10 cm
height of cylinder = 5 cm
Determine how much more ice cream the larger option has. Show your work. ( 19)
Answer:
B
Step-by-step explanation:
Add 1 4/12 +9/12 Convert to a mixed fraction,
Answer:
2 ¹/12
Step-by-step explanation:
convert 1 4/12 to an improper fraction
(1×12+4)=16/12
16/12+9/12=25/12
convert 25/12 to a mixed fraction
=2 ¹/12
Help urgently please❤️
Answer:
1. 677 inches = 18.056 yards
677 inches = 56.416 feet
677 inches = 677 inches
2. QP = 23.5 cm
3. The perimeter = 53.5 cm
Step-by-step explanation:
1. To convert, 677 inches to yards, we have;
1 inch = 0.0277778 yards
677 inches = 677*0.0277778 = 18.056 yards
To convert, 677 inches to feet, we have;
1 inch = 0.083333 feet
677 inches = 677*0.083333 = 56.416 feet
To convert, 677 inches to inches, we have;
1 inch = 1 inch
677 inches = 677*1 = 677 inches
2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line
Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;
∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle
∠PQR = 24° given
∠PRQ = 90°
∴ ∠RPQ = 180° - 90° - 24° = 66°
∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°
∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)
∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°
By sine rule, we have;
a/(sin(A)) = b/(sin(B))
Therefore, we have;
11.8/(sin(24)) = QP/(sin(54°))
QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm
3. From trigonometric ratios, we have;
tan(43°) = BC/CA = BC/(16.2 cm)
BC = 16.2 cm × tan(43°) = 15.1
By Pythagoras theorem, we have;
AB = √(15.1² + 16.2²) = 22.2
The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm
I NEED HELP!! ASAP PLEASE!!!
Answer:
D
Step-by-step explanation:
a:angles given do not necessarily prove that ADP and BCP is 30 they can be different
c:angles given are not in triangles
b:with regards to the square I don't think you can really prove the statement