Answers
Answer:
Value of [tex]x=5[/tex]
Step-by-step explanation:
Given that
[tex]3=\log _{10}(8)+3 \log _{10}(x)\\\\3=\log _{10}(8)+\log _{10}(x^3)\\\\3=\log _{10}(8x^3)\\\\8x^3=10^3\\\\x^3=125\\\\x=5[/tex]
Related Questions
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answers
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
A colony of bacteria is growing at a rate of 50% per hour.
If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?
1139 bacteria
Answers
Answer:
1139
Step-by-step explanation:
The exponential growth rate formula is as follows:
F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have
A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get
F = 100(1+0.5)^6 = 1139
simplify this equation
Answers
Answer: 3x/(x-3)(x+1)
16. The perimeter of a rectangular garden is 90 feet. The gardens lengin s5 feci less than 4 messen What are the length and width of the garden?
Answers
write y+9=-3x-9 in slope intercept form
Answers
Answer:
y = -3x - 18
Step-by-step explanation:
Subtract 9 from each side
please help me with this
Answers
Answer:
-9
Step-by-step explanation:
a(2) = a(1)+4 = -13+4 = -9
what is the answer
simplify 2(5x+3)-2(2x-3)
Answers
Answer:Use this PEMDAS to solve
Step-by-step explanation:
Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.
ALWAYS DO P FIRST!!!!
Answer:
x+2
Step-by-step explanation
2 x 5x =10x 2 x 3=6 -2 x 2x = -4x -2 x -3=6
10x-4x + 6+6
6x+12
simplified: x +2
Davens pays $50 each week for guitar lessons. How much will he pay after 3/4 of a year
Answers
there are 52 weeks in a year and 52x.75=39
since it is $50 per lesson you do 39x50=1950, so this is how much he pays after 3/4 of a year.
Can i get some help :
Answers
Answer:
is not equal to sign is used
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Answers
Answer:
if you want simple answer then check second picture
Step-by-step explanation:
,
If Kenny attempted 36 serves yesterday, how many serves did he make over the net?
Answers
i will make you brainliest
Answers
Answer:
Answers given in the photo
please help me with this
Answers
Answer:
MN=9.1 cm
LM= 9.9 cm
Step-by-step explanation:
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answers
Answer:
$ 275
Step-by-step explanation:
20/100 = 55/x (20% is 55 of what number) (%/100 = is/of)
(100 * 55) / 20 = 275
Answer:
68.75
Step-by-step explanation:
Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3. 50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h c ≤ 80 3h 3. 5c ≤ 100 h c ≤ 80 3h 3. 5c ≥ 100 h c ≤ 100 3h 3. 5c ≤ 80 h c ≤ 100 3h 3. 5c ≥ 80.
Answers
Answer: See below
Step-by-step explanation:
Let h represent hamburgers and c represent cheeseburgers
h + c ≤ 100 - The amount of burgers sold
3h + 3.5c ≥ 80 - Amount that each burger sells for
please i need help finishing this last question or i might get in trouble.
Solve.
w−(−23)=1.06
Enter your answer as a fraction in simplest form in the box.
w =
Answers
59/150
How?
w= 59/150
59/150 and -2/3 have to have the same denominators.
So, what I did was, -2/3×50= -100/150.
(Process of a new equation)
59/150-(-100/150)
[The two - signs cross each other out, making it a + ]
59/150+100/150 <- New Equation
__________________________________
59/150+100/150= 159/150
159/150= 1 9/150
9÷150=0.06
1+0.06= 1.06
(PROOF ABOVE)
Answer
add 1.06 = 1 3/50 = 1 3/50 + (-2/3) = 59/150
Step-by-step explanation:
What happend when matter condenses??
Plzz Answer???
Answers
Answer:
in condensation, gas turns into a liquid
Answer:
Condensation is when a gas becomes a liquid. ... In condensation, matter changes from a gas to a liquid. All matter is made of tiny moving particles called molecules. Evaporation and condensation happen when these molecules gain or lose energy.
Logan spent $42 to buy 4 basketballs. What was the price per basketball
Answers
Answer:
$10.5
Step-by-step explanation:
$42 for 4 basketballs
price of 1 basketball = 42/4
42/4 = 10.5
-Chetan K
Answer:
10.5 dollars
Step-by-step explanation:
42÷4=10.5
can someone help me with this question plsss
Answers
Answer:
So you divide both sides 8.5
B=8 8.5x8=68
Simplfy 8.5x8 to 68
68=68
Step-by-step explanation:
Hope this helps
If 3 is added to three quarter of a certain number, the result is 30.find the original number.
Answers
Answer:
Original number is 36
Step-by-step explanation:
Let,
Number be x
3x/4 + 3 = 30
3x + 12/4 = 30
3x + 12 = 30 × 4
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 108/3
x = 36
504300 in standard form
Answers
explanation:
Freddie swam 5/7 laps on Monday, Tuesday, and Wednesday. 1/4 laps on Thursday and Friday. How many laps did he swim in total?
Answers
Answer: 27/28 or 0.9642857
Step-by-step explanation:
5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28
Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every meal. Facility B charges customers a one-time fee of $1000 plus $5 for every meal.
Which inequality can be used to find m, the minimum number of meals that can be served so that the total charge at Facility A is less than the total charge at Facility B?
#1. 500+15m<1000+5m
#2. 500+15m>1000+5m
#3. 500m+15<1000m+5
#4. 500m+15>1000m+5
Answers
how to see if matrix is one to one calculator
Answers
Answer:
look at the pivots (the leading 1's of the rows)
Step-by-step explanation:
Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.
Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?
Answers
Step-by-step explanation:
Perimeter of rectangle = 2(a+b) or 2a +2b
a=perimeter of the first side of the rectangle
b=perimeter of the second side of the rectangle
Perimeter = 2(3x+5 + 2x-1)=52
Open the bracket by multiplying the number outside by the number inside
=6x+10+4x-2=52
C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes
6x+4x=52-10+2
10x=44
D.B.S by 10, to make variable X subject
x=4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The dimension of the rectangle is (3x + 5) and (2x - 1).
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,
2[(3x + 5) + (2x - 1)] = 52
Simplify the equation, then we have
2[(3x + 5) + (2x - 1)] = 52
3x + 5 + 2x - 1 = 26
5x + 4 = 26
5x = 22
x = 22 / 5
x = 4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
A piecewise function is represented by the graph below.
On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?
x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1
Answers
A piecewise function is used that combines several functions at different intervals.
The domain of the function represented by f(x) = x + 1 is x > 1
The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)
The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1
So, the domain of f(x) = x + 1 is x > 1
Read more about piecewise functions at:
https://brainly.com/question/17966003
Answer:
D
Step-by-step explanation:
Correct on Edge
base five to decimal base
Answers
Answer:
Below.
Step-by-step explanation:
Here's an example.
What is 123 in base 5 converted to decimal.
123 base 5 = 3 * 5^0 + 2*5^1 + 1 * 5^2
= 3 + 10 + 25
= 38 in decimal.
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l contains point S. The length of segment R S is 2 x + 8. The length of segment S Q is 8 x minus 4.
What is the length of segment SR?
Answers
Answer:
12
Step-by-step explanation:
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, so RS = 12
The length of the segment SR is 12.
What is a triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, SR = 12
Hence, the segment SR is 12.
To know more about triangles follow
https://brainly.com/question/17335144
#SPJ5
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. How much does 12 burgers cost?
Answers
Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
Answers
Answer:
75FT B
Step-by-step explanation:
if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B