Answer:
A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Step-by-step explanation:
[tex]log\frac{\sqrt{xy}}{z}[/tex]
[tex]log\sqrt{xy}-log(z)[/tex]
[tex]log(xy)^\frac{1}{2}-log(z)[/tex]
[tex]\frac{1}{2}log(xy)-log(z)[/tex]
[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]
[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Therefore, A is correct
please i have 15 minutes
Answer:
[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]
Step-by-step explanation:
[tex] 2^x = 7^{x + 1} [/tex]
Take the log of both sides.
[tex] \log 2^x = \log 7^{x + 1} [/tex]
Use properties of log.
[tex] x \log 2 = (x + 1) \log 7 [/tex]
[tex] x \log 2 = x \log 7 + \log 7 [/tex]
[tex] x \log 2 - x \log 7 = \log 7 [/tex]
[tex] x(\log 2 - \log 7) = \log 7 [/tex]
[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]
[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]
[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]
A bicycle tire has a radius of 10 inches. To the nearest inch, how far does the tire travel when it makes 4 revolutions?
Answer: 251.2 inches.
Step-by-step explanation: You have to multiply 4*2*π*radius. So, simply multiply 4*2*3.14*10. It would come out as 251.2 inches.
What is the general equation for direct
variation?
Answer:
☆ y=kx
Example: if we have x= 3 and y= 15
Find y?
y= kx
*We know that y= 15 and x= 3
So,
15=k(3)
15=3k
*divide 3 from both sides
K=5
y=5x
y=5(5)=25
☆▪☆▪☆▪☆▪☆
Hope it helps..
Have a great day!!
22 - 8x = -5x - 14
Find x
Please help this is due today
NO WRONG ANSWER PLEASE PO
[tex] |? \times \fracwarning [/tex]
ok no no no wrong wrong answer
Answer:2. okra
Step-by-step explanation:
Which sequence is geometric?
Answer:
4th option
Step-by-step explanation:
in geometric sequences the number is multiplied or divided by same number continuously
in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.
What is the product?
(5r − 4)(r2 − 6r + 4)
5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
Read more about product at:
https://brainly.com/question/4344214
Please help I’ll give brainliest
Answer:
D. 12m^3n^5
Step-by-step explanation:
Answer:
12m³n⁵
Step-by-step explanation:
3 · 4 = 12
m² · m = m³
n³ · n² = n⁵
Therefore, 3m²n³ · 4mn² = 12m³m⁵
Question 5 of 27
What is the measure of ZC in the parallelogram shown?
Answer:
C.35⁰
Step-by-step explanation:
C= 180⁰-145⁰= 35⁰
A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them
Answer:
15m
Step-by-step explanation:
did the math
The locksmith is 82.9 miles west of the bakery. The pet store is 44.5 miles west of the bakery. The toy store is 38.6 miles east of the bakery. The coffee shop is 71.5 miles east of the bakery. The library is 57.0 miles south of the bakery. The magic shop is 75.7 miles south of the bakery. How far apart are the toy store and the locksmith?
Answer:
82.9+38.6=121.5 miles far away.
Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry
Answer:
(a) [tex]\frac{1}{7}[/tex]
(b) [tex]\frac{4}{7}[/tex]
(c) [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Probability (P) of an event is the likelihood that the event will occur. It is given by;
P = number of favourable outcomes ÷ total number of events in the sample space.
Given letters of cards:
A B C D E F G H J
∴ Total number of events in sample space is actually the number of cards which is 7
If a card is picked at random;
(a) the probability P(F), that it is labelled F is given by;
P(F) = number of favourable outcomes ÷ total number of events in the sample space.
The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.
∴ P(F) = 1 ÷ 7
=> P(F) = [tex]\frac{1}{7}[/tex]
(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;
P(N) = P(J) + P(A) + P(D) + P(E)
Where;
P(J) = Probability that it is labelled J
P(A) = Probability that it is labelled A
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(J) = [tex]\frac{1}{7}[/tex]
P(A) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{4}{7}[/tex]
(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;
P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)
Where;
P(A) = Probability that it is labelled A
P(B) = Probability that it is labelled B
P(C) = Probability that it is labelled C
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(H) = Probability that it is labelled H
Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.
P(A) = [tex]\frac{1}{7}[/tex]
P(B) = [tex]\frac{1}{7}[/tex]
P(C) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
P(H) = [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{5}{7}[/tex]
Can you help plz
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Answer:
V = 125 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = a³
a is any side lengthStep-by-step explanation:
Step 1: Define
Identify variables
a = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³Evaluate exponents: V = 125 cm³Answer:
125cm^3
Step-by-step explanation:
Volume of a cube = l^3
Where l = length of cube
The given length of the cube is 5cm
Hence Volume = 5^3 = 125cm^3
Can someone help giving branliest to first correct answer
Which steps can be done to both sides of the equation to determine the value of x ?
3.2.2 - 9.6 = 38.4
A. subtract 9.6, then multiply by 3.2.
B. Add 9.6, then multiply by 3.2.
C. Add 9.6, then divide by 3.2.
D. Subtract 9.6, then divide by 3.2.
Answer:
C. Add 9.6, then divide by 3.2.
Step-by-step explanation:
[tex]3.2x−9.6=38.4[/tex]
[tex]3.2x=38.4+9.6[/tex]
[tex]3.2x=48[/tex]
[tex]x = \frac{48}{3.2} [/tex][tex]x = 15[/tex]
Hope it is helpful...Can someone help me? It's urgent and thank you!
Also pls look at the other 2 pictures!
Answer:
14x^3 LCD
(35x+4) / 14x^3
Step-by-step explanation:
5 /2x^2 + 2 / 7x^3
We need to find the least common denominator
2x^2 =2 *x*x
7x^2 = 7*x*x*x
x*x is common so we need to multiply that by 2*7*x
The least common denominator is 2*7*x*x*x = 14 x^3
To add the two, multiply to get the common denominator)
5/2x^2 * (7x/7x) + 2/7x^3 *(2/2)
35x/14x^3 + 4/14x^3
(35x+4) / 14x^3
For the equation 3(7 + 2) = 3x + k, what value of k will create an equation with infinitely many solutions?
A)7
B)21
C)10
D)3
Answer:
ygftyhhhhgffyujhhgyjjjhhguj
A pyramid with a triangular base has a volume of 50cm³. If the base and the height of the triangular base are 5cm and 8cm respectively, find the height of the pyramid ?
Answer:
h = 7.5 cm
Step-by-step explanation:
Firstly, we find the area of the triangular base
Mathematically, we have the area of a triangle as;
A = 1/2 * b * h
A = 1/2 * 5 * 8 = 20 cm^2
Mathematically, we have the formula as;
V= 1/3 * A * h
A is base area and h is height
50 = 1/3 * 20 * h
20h = 3 * 50
20h = 150
h = 150/20
h = 7.5 cm
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a ____________of the given expression.
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
=> Factor.
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.
[tex] \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}[/tex]
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a [tex]\boxed{\underline{\bf \: factor}}[/tex]of the given expression.
need help asap!!!!!! Marcel is performing the first test on his company’s new electric car. During the test, the electric car reaches a maximum speed of 81 mph.
The performance test results of the electric car can be modeled by the following table, where x represents time, in seconds at the start of the test, and y represents the speed, in miles per hour.
For this case we have the following variables:
x: represents time, in seconds at the start of the test.
y: represents the speed, in miles per hour.
We have then that:
x = 0 ---> y = 0
x = 12 ---> y = 0
Answer:
the electric car is not moving at 0 seconds and 12 seconds
I hope this helps!
the electric car is not moving at 0 seconds and 12 seconds
I hope this helps!
The bus ride was 35 minutes long. If the ride ended at 12:05 a.m., what time did the ride begin?
Answer:
11:30 A.M.
Step-by-step explanation:
Answer:
11:30
Step-by-step explanation:
12.05- 35 min and its 11:30
hope that helps bby<3
What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of \frac{2}{3}
Answer:
y = 2/3x - 7.
Step-by-step explanation:
Using the point-slope form of a straight line:
y - y1 = m (x - x1) so we have
y -(-5) ) = 2/3 (x - 3)
y + 5 = 2/3x - 2
y = 2/3x - 7.
Answer:
y = 2/3x -7
Step-by-step explanation:
We know the equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/3 x +b
Substitute the point into the equation
-5 = 2/3 (3)+b
-5 = 2+b
Subtract 2 from each side
-7 = b
The equation of the line
y = 2/3x -7
For the given functions f(x) and g(x), find (f + g)(x) or (f – g)(x) as
indicated.
f(x) = 8x – 7,8(x) = 6x – 4
Find (f + g) (x)
Answer:
(f + g) (x) = 14x-11
Step-by-step explanation:
From the question, what we have to do is to add the two given polynomials
We have this as;
(8x-7) + (6x-4) = 8x + 6x -7-4 = 14x -11
The table above shows the value of Henry’s car for each o of the first 3 years after it is purchased. The values form a geometric sequence. What will be the approximate value of the car in the 10th year?
A $2,680
B. $5,240
C. $6,550
D. $2,150
Answer:
D.
Step-by-step explanation:
You need to use a graphing calculator to figure it out.
pls answer this. its easy but for me nah
Answer:
1. acute
2. Right
3. maybe acute
4. obtuse
5. acute
6. obtuse
7. straight
8. obtuse
9. acute
10. obtuse
11. acute
12. acute
13. obtuse
14. obtuse
Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)
Answer:
cos(2π/35)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Sum/Difference Formula [cosine]: [tex]\displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)[/tex]Step-by-step explanation:
Step 1: Define
Identify
cos(π/5)cos(π/7) + sin(π/5)sin(π/7)
Step 2: Simplify
Sum/Difference Formula [cosine]: cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)Subtract: cos(π/5 - π/7) = cos(2π/35)Find the measure of angle 5
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
-4x+161
Step-by-step explanation:
why-
because it is correspondoing so that is the answer
Solve for x. Round to the nearest tenth, if
necessary.
I hope this is help full to u
thank you
Answer:
x = 3.8
Step-by-step explanation:
take 53 degree as reference angle
using cos rule
cos 53 = adjacent/hypotenuse
0.60 = x /6.3
0.60*6.3 = x
3.78 = x
3.8 = x ( after converting the answer to nearest tenth)
Find all solutions to the equation in the interval [0, 2pie]. Enter the solutions in increasing order. cos 2x = sin x
Answer:
cos2x=sinx
<=> 1-2sin^{2}x =sinx
solve and we have x=3pie/2, x=pie/6,x= 5pie/6
Step-by-step explanation:
what is the common difference for this arthimitic sequence? -8, -13, -18, -23
a. 5
b. -5
c. -28
d. -21
