Answer: (2*p + 3)/q
Step-by-step explanation:
First, let's remember the relationships:
Logₙ(a) = Ln(a)/Ln(n)
Ln(A*B) = Ln(A) + Ln(B)
Ln(a^n) = n*Ln(a)
Now, we know that:
Logₓ(2) = p
Logₓ(7) = q
We want to express:
Log₇(4*x^3) in terms of p and q.
First, we can rewrite the first two relations as:
Ln(2)/Ln(x) = p
Ln(7)/ln(x) = q
then we have:
Ln(2) = p*Ln(x)
Ln(7) = q*Ln(x)
Ok:
Now let's play with our equation:
Log₇(4*x^3)
First, this is equal to:
Ln(4*x^3)/Ln(7)
We now can rewrite this as:
(Ln(4) + Ln(x^3))/Ln(7)
= (Ln(2^2) + Ln(x^3))/Ln(7)
= (2*Ln(2) + 3*Ln(x))/Ln(7)
Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)
(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q
This is the expression we wanted.
Please help it’s called Writing Equations
Answer:
1. A.)4 - 4n = 14
2. C.) 42 * 3 = B
Step-by-step explanation:
1. Four less than : 4 -
Four times a number : 4 × n = 4n
(let n represents the number)
Equals 14 : = 14
= 4 - 4n = 14
2. Each person paid : $42
Keith, Alyssa, and Sara : 3
The bill : let B represent bill
= $46 * 3 = B
I hope this helps!
Will give brainless if solved
1. what is the measure of angle 4 ?
2. What is the measure of angle 1?
3. What is the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer choices: 127 degrees, 155 degrees, 20 degrees,85 degrees, 120 degrees,70 degrees, 90 degrees,25 degrees,95 degrees,63 degrees. Supplementary angles, complementary angles , and vertical angles
Answer:
1. 70 2. 85 3. 63 4. 20 5. They are vertical angles
Step-by-step explanation:
Please help! Lauren is 16, and Cara is 14. Their grandad gives them $1200 to share in the ratio of their ages. How much money do they each get? Show your work, please!!
Answer:
Lauren will get $640 and Cara will get $560.
Step-by-step explanation:
Given that:
Age of Lauren = 16
Age of Cara = 14
Ratio = 16 : 14
Amount given by their grandad = $1200
Let,
x be the number of times.
16x + 14x = 1200
30x = 1200
Dividing both sides by 30
[tex]\frac{30x}{30}=\frac{1200}{30}\\x=40[/tex]
Share of Lauren = 16x = 16*40 = $640
Share of Cara = 14x = 14*40 = $560
Hence,
Lauren will get $640 and Cara will get $560.
John Brought 75 shares of HCC stock and 150 Shares
of BWB stock. Last year HCC paid a dividend of $285 per share
and Bwb paid a dividend of $2.0t per share. What was the total
dividend that John Received ?
A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine can produce in 1 hour
Answer:
180 yards of fabric produced in 1 hour
your welcome :)
Jennifer received a $25 gift certificate from a music store. She can use it to buy 2 CD’s and 5 cassettes or 1 CD and 15 cassettes. Find the cost of 1 CD and 1 cassette.
Please help A.S.A.P.
Answer:
CD = 10$
Cassette = 1$
Step-by-step explanation:
ok, time to use some variables
C = CD
S = Cassette
2c + 5s = 25$
1c + 15s = 25$
the second equation has 1 less CD and 10 more Cassettes, therefore 1c = 10s
Now we can calculate how many Cassettes we can buy
1c - 1c = 0c
15s + 10s = 25s
This means that 25s = 25$
therefore 1s = 1$
since we know that 10s = 1c, and 1s = 1$, then we can figure out how many dollars the CD is
1c = 10s = 10$
1c = 10$
Variables are helpful :)
Subtract
- 3x 8 from 4x2 – 7x – 2.
-2 • (4x2from4 + 5x + 1)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(2): Dot was discarded near "2.".
STEP
1
:
Equation at the end of step 1
((-3x - (23from4 • x2)) - 7x) - 2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-8x2from4 - 10x - 2 = -2 • (4x2from4 + 5x + 1)
Trying to factor a multi variable polynomial :
3.2 Factoring 4x2from4 + 5x + 1
C.E.R.
INSTRUCTIONS:
Given that AD II FJ. Use the diagram of a staircase railing to find the value of n. (Think parallel lines cut by a transversal)
then, What is your EVIDENCE? Show all of your work here.
LASTLY, Reasoning-Explain your work, tell me in words why you did the math this way.
CAN SOMEBODY PLZ HELP
Answer:
n = 35Step-by-step explanation:
AD║FJ and CH is transversal
∡BCH and ∡CHJ are alternate interior angles
m∡BCH = m∡BCG + m∡GCH = 82° + 30° = 112°Alternate interior angles are congruent:
m∡BCH = m∡CHJ3n + 7 = 1123n = 105n=105/3n = 35how do i answer this?
Answer:
surds are option A, D and E
[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]
Step-by-step explanation:
Given;
[tex]A. \ \sqrt{17} \ \ \ \ B. \ \sqrt{36} \ \ \ \ C. \ \sqrt{100} \ \ \ \ D. \ \sqrt{15} \ \ \ \ E. \ \sqrt{30}[/tex]
A Surd have no perfect square root.
B. √36 = 6
C. √100 = 10
Option B and C have perfect square roots.
Thus, surds are option A, D and E, which have no perfect square root.
[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]
what is h(-2)=-2x+9 ??????
Answer:
13
Step-by-step explanation:
For this type of question it is giving you a function and it is giving you the x value. all you have to do is plug in x which is -2. -2 x -2 is 4. 4 + 9 is 13.
HOPE THIS HELPS!! (:
Step-by-step explanation:
h(-2)=-2x+9
h(-2)=-2×(-2)+9
h(-2)=4+9
h(-2)=13
=13
Solve for x. Enter the solutions from least to greatest.
4x^2 + 40x + 84 = 0
Answer:
x= -3 , -7
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x^2+40x+84=0
i divide first by 4 the whole equation
x^2+10x+21=0
we use the quadratic formula to solve it
and you will get x=-3, and -7
from least to greatest
-7 ,-3
Jackson has $300 and spends $42. What percent of his money is spent?
A paper publisher in a medical journal reported that about 11/25 of girls ages 16 to 17 did not exercise at all. The entire study consisted of about 2,500 girls. About how many did not exercise?
Answer:
1400
Step-by-step explanation:
the number of girls aged 16 - 17 that do not exercise = 11/25 x 2500 = 1100
The total number of girls that do not exercise = 2500 - 1100 = 1400
need help on this asap pleaase
2 lb of grass seed will cover 50 square feet of a yard how many square feet will 5 lb of grass seed cover
Answer:
125 square feet of a yard.
Step-by-step explanation:
So 1 lb of grass seed will fill 25 square feet of yard. Multiply 25 by 5 and get 125.
Can someone please help me anyoneeeee
Answer:
(8, 0)
Step-by-step explanation:
TAKE NOTE: In a glide reflection, you always start w/ the second transformation.
STEP 1: (2, 7) affected by the reflectionRULE (in this case): (x, y) --> (y, x)
(2, 7) => (7, 2)
STEP 2: (7, 2) affected by the translationRULE: (x, y) --> (x + horizontal shift, y + vertical shift)
(7, 2) => (7+1, 2-2) or (8, 0)
You can check your answer by doing this the opposite way.
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!]
Evaluate 2d - 5 if d is 12
Pls help im timed
Answer:19
Step-by-step explanation:2 d -5
2 (12) -5
24-5
=19
what is BC - b + c when b equals 8 and C equals 5
Answer:
37
Step-by-step explanation:
This simply requires plugging in the numbers-
bc - b + c = ?
(8)(5) - 8 + 5 = ?
Then solve-
40 - 8 + 5 = ?
32 + 5 = 37
Therefore-
bc - b + c = 37
Help me solve the question in the picture (pls show working)
Answer:
92.75 cm²
Step-by-step explanation:
area of polygon = area of ∆EDA + area of ∆ADC +area of ∆ACB.
area of triangles is ½×base×height.
area of ∆EDA=½×EF×AD
=½×4.5×12
=27 cm². -------->(1)
area of ∆ADC=½×AD×DC
=½×12×5
=30 cm². --------->(2)
area of ∆ACB=½×AC×BG
=½×AC×5.5
from pythagorean theorem
(AC)²=(AD)²+(CD)²
= 25+144
= 169 cm then. AC= 13 cm
then area of ∆ACB=½×5.5×13
=35.75 cm² ---------->(3)
from equation (1), (2) and (3):
then the area of polygon = 27 + 30 + 35.75
=92.75 cm²
Please help ASAP ASAP please if you don’t know don’t answer just to get points please *
Answer: CB = 7. AC = 5.
Step-by-step explanation:
Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.
Now AC.
You divide 45 degrees by 7. And you get five.
So AC = 5 and CB = 7.
Answer:
AC= 7√6/2
CB=7√2/2
Step-by-step explanation:
i posted with answers in the photo
put 73.5 in √ it gives u 7√6/2
10) How old am lif 300 reduced by 2 times my age is 106?
11) Callie was making note cards. On her way to her room she found
six more note cards to use. In her room she cut each note card in
half. When she was done she had 46 half-note cards. With how
many note cards did she start?
12) Gracy spent half of her weekly allowance on clothes. To earn
more money her parents let her wash the dog for $14.08. What is
her weekly allowance if she ended with $23.42?
Answer:
150, 23 cards
Step-by-step explanation:
9th grade math please help. A B C or D?
Answer:
B = no solution
Step-by-step explanation:
y = -5x - 3
-5x - y - 3 = 0
Substitute
-5x - (-5x - 3) - 3 = 0
Distributive Property
-5x + 5x + 3 - 3 = 0
Combine Like terms
0 + 3 - 3 = 0
0 + 0 = 0
0 = 0
This system has no solutions. You don't have a value for x or y
Hope this helped
Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why
Answer:
Square.
Step-by-step explanation:
a). Properties of a square → 1). All sides are equal in measure
2). All interior angles are equal and measure 90°
3). Diagonals are perpendicular and equal in
measure.
Therefore, by third property, its a square because diagonals are perpendicular and congruent.
Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?
b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?
Answer:
A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.
B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.
C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.
Simplify the following expression:
5a2 + 3b - 4 - 9a2 + 6
Find the missing angle measure
Answer:
what is the missing angle measure pls attach a pic if you do so I can help you
enjoy your day
#Captainpower:)
If you have a hypotenuse that measures 13 inches, what do the side lengths need to be to create a right
triangle?
13 inches and 1 inch
12 inches and 10 inchas
12 inches and 5 inches
6 inches and 5 inches
Answer:
12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.
Write the expression in standard form. 28m ÷ 7m
Nothing further can be done with this.
28m / 7m
Hope this helps :)
Which graph represents a function?
Answer:
b
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
vertical line test
HEEEEEEEEEEEELP Solve the system of equations using the substitution method. Make sure to check your solution. y = 3x + 2 -4x + 4y = 16 In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2. x-coordinate: y-coordinate:
Answer:
y=3x+2
-4x+4y=16
-4x+4(3x+2)=16
-4x+12x+8=16
8x=16-8
8x=8
x=8/8
x=1
y=3x+2
y=3(1)+2
y=3+2
y=5, x=1