Answer:
1. a, 2. d, 3. b, 4. d, 5. a, 6. b, 7. d, 8. a, 9. d, 10. bStep-by-step explanation:
Question 1
log3 9 = log 3 3² = 2Question 2
log8 12 = log 12/log 8 = 1.19Question 3
ln 7 = log 7 / log e = 1.95Question 4
log4 14 as a logarithm of base 3 log4 14 = log3 14/ log3 4Question 5
log6 5 as a logarithm of base 4 log6 5 = log4 5/ log4 6Question 6
log4 (y − 9) + log4 3 = log4 81log4 (3y - 27) = log4 813y - 27 = 813y = 108y = 36Question 7
5 log2 k − 8 log2 m + 10 log2 nlog2 k^5 - log2 m^8 + log2 n^10 =log2 (k^5n^10/m^8)Question 8
2 log x = log 36 log x^2 = log 36x^2 = 36x = √36x = ± 6Question 9
4 log12 2 + log12 x = log12 96 log12 16x = log12 9616x = 96x = 6Question 10
2 log2 2 + 2 log2 6 − log2 3x = 3log2 (4*36/3x) = 348/x = 2^348/x = 8x = 48/8x = 6carl is remodeling his kitchen. on his plans, the kitchen island is 4 inches long. if the actual kitchen island will be 9.2 feet long, what was the scale used to create the drawing?
Answer:
one inch on the plan represents 2.3 feet in real life
Step-by-step explanation:
Set up a proportion
[tex]\frac{4}{9.2} \\[/tex]=[tex]\frac{1}{x}[/tex]
[tex]4x=9.2[/tex]
[tex]x=2.3[/tex]
please help me in this question
question is given below:
(a) List all the possible outcomes
A dice has 6 sides, ranging from numbers 1 to 6.
As such, the possible outcome for 1 dice is 1, 2, 3, 4, 5 and 6.
Since 2 dice are used, the possible outcome increases, ranging from 2 to 12.
Working:
1 + 1 = 2 (MIN)
6 + 6 = 12 (MAX)
Therefore, the possible outcomes is from 2 to 12.
(b) Find the probability of getting an even number as a score
Total number of score = 11
Total number of even score = 6
P (even number) = 6 / 11
I believe this should be the correct answer... seems logical to me. HAHA. Anyway, do let me know if I am correct or have any queries :)
I need help guys ASAP
A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50. if an applicant is randomly selected, find the probability of a rating that is between 200 and 275. your answer should be a decimal rounded to the fourth decimal place.
Answer:
the probability of a rating that is between 200 and 275 is 0.4332
Step-by-step explanation:
Given the data in the question;
if an applicant is randomly selected, the probability of a rating that is between 200 and 275
mean μ = 200
standard deviation σ = 50
P( 200 < X < 275 ) = P( X-μ / σ < x-μ / σ < X-μ / σ )
P( 200 < X < 275 ) = P( 200-200 / 50 < x-μ / σ < 275-200 / 50 )
= P( 0/50 < Z < 75/50 )
= P( 0.00 < Z < 1.50 )
P(Z < 1.50) - P(Z < 0.0)
from the standard normal table
P(Z < 1.50) = 0.9332
P(Z < 0.0) = 0.5000
so
P( 200 < X < 275 ) = 0.9332 - 0.5000
P( 200 < X < 275 ) = 0.4332
Therefore, the probability of a rating that is between 200 and 275 is 0.4332
How many solutions does this linear system have?
y = 2x-5
-8x - 4y = -20
A one solution: (-2.5, 0)
B one solution: (2.5, 0)
C no solution
D O infinite number of solutions
Answer:
B
Step-by-step explanation:
(2.5,0)
Give the location of Bern as an ordered pair (x, y)
Answer:
(3,-4)
Step-by-step explanation:
Yaaaaaaaaaaa a a a
Answer:
(3,-4)
Step-by-step explanation:
x axis goes first y axis second
6X + 8Y - 4Z = 5 1X + 2Y + 5Z = 9 9X - 3Y + 3Z = 6 resolverlo por metodo de Gauss jordan
Responder:
x = 4.48
y = 4.86
z = -1.04
Explicación paso a paso:
Dadas las ecuaciones simultáneas;
6X + 8Y - 4Z = 5 .... 1
1X + 2Y + 5Z = 9 ... 2
9X - 3Y + 3Z = 6 .... 3
Primero necesitamos reducir el sistema de ecuaciones
Ecuación 1 * 1
Ecuación 2 * 4
__________
6X + 8Y - 4Z = 5
4X + 8Y + 20Z = 36
Restar
6x-4x - 4z-20z = 5-36
2x-24z = 31 ... 4
también
ecuación 2 * 3
ecuación 3 * 2
_______________
1X + 2Y + 5Z = 9 * 3
9X - 3Y + 3Z = 6 * 2
_______________
3x + 6y + 15z = 27
18x - 6 años + 6z = 12
Agregar
3x + 18x + 15z + 6z = 27 + 12
21x + 21z = 39 ...... 5
Resolviendo 4 y 5
2x-24z = 31 ... 4 * 21
21x + 21z = 39 ...... 5 * 2
____________
42x - 504z = 651
42x + 42z = 78
Sustraer
-504x - 42z = 651-78
-546z = 573
z = -573/546
z = -1.05
Sustituye z = -1.05 en 4
De 4;
2x-21z = 31
2x - 21 (-1,05) = 31
2x + 22,04 = 31
2x = 31-22.04
2x = 8,96
x = 8,96 / 2
x = 4,48
Obtener y
De 2:
X + 2Y + 5Z = 9
4.48 + 2y + 5 (-1.04) = 9
2 años + 4,48-5,2 = 9
2y = 9 + 0,72
2 años = 9,72
y = 9,72 / 2
y = 4,86
Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)
For matinee at a local theater, adult tickets cost
$6 and kids under 12 pay only $4. Ninety
tickets were sold for a total of $428. Which
system of equations correctly represents this
problem if you let a represent the number of
adult tickets sold and k represent the number of
kid tickets sold.
Answer:
Step-by-step explanation:
QUESTION 7
Which of these pairs of points has a slope undefined ?
Check all applied.
(-1,0) and (-1, 1)
(3,9) and (3, 1)
(0,9) and (1, 1)
(8,9) and (8,1)
Answer:
This would be a, b, and d.
Step-by-step explanation:
When graphed, the slope line of each of these would look like a straight vertical line, meaning their slope would be undefined. There has to be a change in x to create a defined slope.
HELP!!!!!The equation C= 5n represents the cost C
in dollars for n caps that advertise the walkathon. Which of the
following ordered pairs could represent a number of caps and the
cost for that number of caps, (n, C)?
A. (0,5)
B. (3, 15)
C. (15,60)
D. (5,1)
A computer is on sale for $684. If the original price was reduced by 60%, what was the original price of the computer?
The original price of the computer was
Answer:
$1094.40
Step-by-step explanation:
684 increase 60% =
684 × (1 + 60%) = 684 × (1 + 0.6) = 1094.4
Multiplier method to decrease £262 by 39%
Answer:
159.82
Step-by-step explanation:
262 100 let unknown be "x"
x 61
262 x 61 = 100x
15982= 100x
15982/100 = x
x= 159.82
The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.
By how much was the price discounted?
Answer:
40%
Step-by-step explanation:
Discount price = 22 - 13.20 = $8.80
Discount percentage = [tex]\frac{8.80}{22}*100\\[/tex]
= 40%
please help will give brainliest answer
Answer:
Question 3
C. [tex] y-9 =1/2(x-1)[/tex]
Question 4
D. [tex] y+5 =3(x+2)[/tex]
Step-by-step explanation:
Question 3:
Equation of line in point slope form is given as:
[tex] y-y_1 =m(x-x_1)[/tex]
Plug m = 1/2, [tex] x_1 = 1, \:y_1 = 9 [/tex] in the above equation, we find:
[tex] y-9 =1/2(x-1)[/tex]
This is the required equation of the line.
Question 4:
Equation of line in point slope form is given as:
[tex] y-y_1 =m(x-x_1)[/tex]
Plug m = 3, [tex] x_1 = - 2, \:y_1 = - 5[/tex] in the above equation, we find:
[tex] y-(-5) =3[x-(-2)][/tex]
[tex] y+5 =3(x+2)[/tex]
This is the required equation of the line.
please help me find the value of x
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
I will give brainiest for the correct answer
In ΔXYZ, x = 940 cm, ∠Y=139° and ∠Z=20°. Find the length of z, to the nearest centimeter.
Answer: 897
Step-by-step explanation: \frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
\angle X=180-139-20=21^{\circ}
∠X=180−139−20=21
∘
X
Y
Z
x = 940
z = ?
139°
20°
21°
\frac{z}{\sin 20}=\frac{940}{\sin 21}
sin20
z
=
sin21
940
Plug in. Opposite sides go together.
z=\frac{940\sin 20}{\sin 21} \approx 897.12 \approx 897
z=
sin21
940sin20
≈897.12≈897
please send answers!!
Answer:
Please refer to the above attachment...
(sorry for bad handwriting:P)...
Step-by-step explanation:
I hope it helps...:)
Please help me!! Thank you!!
Answer:
[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]
If my answer did not help you, comment below but please don't delete it.
A diver jumps from a platform diving board that is 32 feet above water. The height , h of the diver above water , in feet, t seconds after jumping from the platform , can be determined by the equation h=-16t^2+20t+32. Determine the diver's height above water 2 seconds after jumping from the platform.
CAN SOMEONE HELP ME OUT PLEASE!!!!!!!!!!
Answer:
h=8
Step-by-step explanation:
h = -16t^2 + 20t + 32
h = -16(2)^2 + 20(2) + 32
h = -16(4) + 40 + 32
h = -64 + 72
h = 8
Answer:
2 seconds
Step-by-step explanation:
i got it right, no explanation <3
i’m confused on this- can someone help me?
Answer: great adventure theme park is more expensive
Step-by-step explanation:
Estimate each sum or difference 7 1/9 + 8 2/5
Answer:afvStep-by-step explanation:
Darius uses cups of strawberries and cups of blueberries to make a fruit salad. He says this will make less than 6 cups of fruit salad because 2 + 3 = 5.
Is he correct?
Answer:
yes
Step-by-step explanation:
2+3 is equal to 5 so he will make less that 6 cups
Answer:
correct
Step-by-step explanation:
it should be correct
Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well as
one twelfth of the annual property taxes of $3,478.50 and one twelfth of the annual
insurance premium on the property of $1,186. What will the total monthly payment be?
Answer:
its 1,645.32
Step-by-step explanation:
search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32
CAN SOMEONE PLS HELP WITH THIS QUESTION I need to finish this pls!!
Answer:
c, and b.
Step-by-step explanation:
because it's the same as the ordered pair.
Maribel is packing boxes of canned goods for the food drive. Each box can hold 8 books. How many boxes are needed for 122 books?
answer is:16 books
Answer:
16 boxes will be needed for 122 books.
Step-by-step explanation:
Given that,
Each box can hold 8 books.
We need to find the number of boxes needed for 122 books. It can be calculated as follows :
[tex]\dfrac{122}{8}[/tex] = 15.25
It means 15 boxes can be filled and 16 boxes will be needed for 122 books.
A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning
Answer:
They had 20 of them
Step-by-step explanation:
sorry if its wrong
Consider the unit circle, which is the circle of
radius 1 centered at the origin. Which of the
following properties of the circle are
invariant (that is, does not change) under a
rotation?
Select one or more:
a. The radius of the circle
b. The measure of an angle with vertex
on the center of the circle
c. The area of the circle
d. The circumference of the circle
Answer:
It is between B and C but what I would choose is C.
The radius, area and circumference of the circle is invariant properties of the circle. Option a, c and d to be chosen.
Properties to be determine that would not change after the rotation of circle.
Circle is locus of the point whose distance from the fixed points i.e. center is fixed.
Here, circle has unit radius and center at origin. If the circle is rotated along the point any where in the space the propertied that would be fixed is its radius, area and circumference.
Thus, the radius, area and circumference of the circle is invariant properties of the circle.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ2
Use a net to find the surface area of the open cylinder with only one base. Use 3.14
(round to the nearest tenth as needed)
Answer:
706.5 cm²
Step-by-step explanation:
Surface area of the open cylinder with only one base = surface area of cylinder - area of one of the base
= 2πr(h + r) - πr²
Where,
r = 9 cm
h = 8 cm
π = 3.14
Plug in the values into the equation
Area of the open cylinder with one base = 2*3.14*9(8 + 9) - 3.14*9²
= 56.52(17) - 254.34
= 960.84 - 254.34
= 706.5 cm²
Sally’s department store just had a huge sale and now needs to increase the price of all retail by 12%.