Answer:
[tex]10^{4.876}=y[/tex]
Step-by-step explanation:
Logarithms are just another way of arranging an exponential equation! You know how you can rearrange the equation 2 + 3 = 5 as 5 - 3 = 2, or the equation 2 x 3 = 6 as 6 ÷ 3 = 2? With logarithms, you can do the same thing with an equation like 2³ = 8. As a logarithm, we would write this equation as log₂(8) = 3. Here, we call 2 the base, 8 the argument, and 3 the exponent.
Logarithms like the one in the problem with a base of 10 are just written as log, without the base written out. In the equation log(y) = 4.876, our base is 10, our argument is y, and our exponent is 4.876, so as an exponential equation, we would write it as
[tex]10^{4.876}=y[/tex]
The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120°
Calculate the length of the arc AB.
Use 22/7 as an approximation for IT
A 88 inches
B 132 inches
C176 inches
D 264 inches
can someone please help me with this, I did it and I got 54 the answer, but 54 isn't an answer choice
Enter an equation in the form y = mx + b that represents the function described by the graph.
PLEASE HELP
Answer:y=4x+2
Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.
Find the Cartesian equation of the curve with parametric equations x = 2 sec(t) and y = 3 tan(t) for t ∈ π/2 , 3π/2, and describe the curve.
Answer:
4y^2 - 9x^2 = -36
Step-by-step explanation:
x = 2 sec t
y = 3 tan t
x^2 = 4 sec^2 t
y^2 = 9 tan^2 t
Now sec^2t = 1 + tan^2 t so we have:
4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2
4 + 13 tan^2 t = x^2 + y^2
13 tan^2 t = x^2 + y^2/ - 4
tan^2 t = x^2/13 + y^2/13 - 4/13
But , from the second equation tan t = y/3 so tan^2 t = y^2/9, so:
y^2/9 = x^2/13 + y^2/13 - 4/13
LCM of 9 and 13 is 117 so multiply thru by 117:
13y^2 = 9y^2 + 9x^2- 36
4y^2 - 9x^2 = -36
12. In a certain cafe, all the sandwiches and drinks are priced the
same. A customer ordered three sandwiches and two drinks for
$14.70. Another customer bought two sandwiches and four drinks
for $13.80. Find the cost of one sandwich and the cost of one drink.
The cost of one sandwich is $3.90
The cost of one deknk is $1.50
hopefully this is correct
The system of equations are
The cost of one sandwich x = $ 3.90
The cost of one drink y = $ 1.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of one sandwich be x
Let the cost of one drink be y
Now , the equation will be
A customer ordered three sandwiches and two drinks for $14.70
So , 3x + 2y = 14.70 be equation (1)
And , Another customer bought two sandwiches and four drinks for $13.80
So , 2x + 4y = 13.80 be equation (2)
On simplifying the equations , we get
Multiply equation (1) by 2 , we get
6x + 8y = 29.4 be equation (3)
Subtracting equation (2) from equation (3) , we get
4x = 15.6
Divide by 4 on both sides of the equation , we get
x = $ 3.90
So , the cost of one sandwich is $ 3.90
And ,
Substituting the value of x in equation (1) , we get
3x + 2y = 14.70
3 ( 3.90 ) + 2y = 14.70
11.70 + 2y = 14.70
Subtracting 11.70 on both sides of the equation , we get
2y = 3
Divide by 2 on both sides of the equation , we get
y = $ 1.50
So , the cost of one drink is $ 1.50
Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively
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8 × (3v − 4) for v = 6
Answer:
112
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8 × (3v - 4)
v = 6
Step 2: Evaluate
Substitute in v: 8 × (3 · 6 - 4)(Parenthesis) Multiply: 8 × (18 - 4)(Parenthesis) Subtract: 8 × 14Multiply: 112Answer:
y = 112
Step-by-step explanation:
This is solved by first writing out the equation correctly
[tex]8 * (3*6-4)[/tex]
we solve whats inside the parenthesis first
this equals 14
now 14 times 8 is 112
The eight-digit number ppppqqqq, where p and q are digits, is a multiple
of 45. What are the possible values of the eight-digit number? multiples
Answer:
There are two possible numbers: 99 990 000 and 44 445 555
Step-by-step explanation:
The multiples of 45 are 5 and 9
There are two possible numbers: 99 990 000 and 44 445 555.
What will be the two numbers?
Numbers are the numerical values like 1,2,3 etc.It is given that The eight-digit number ppppqqqq, where p and q are digits, is a multiple of 45.
Every multiple of 45 is a multiple of both 5 and 9 here P and Q are single-digit integers.
By using the rules of divisibility we can see that if q=0 or q =5 so 4P+4q is a multiple of 9.
If q=0 4P is a multiple of 9 P=9
If q =5 ( 4p + 5 ) is a multiple of 9
Hence p + 5 = 9 and p =4
Therefore there are two possible numbers: 99 990 000 and 44 445 555.
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What is the volume of this container?HELPPPPP
Answer:
(2×4×4)+(3×2×4)
56 is the answer
(yz)log y - logz . (zx)log 2 - log x
- (xv) log x-logy = 1
Answer:
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=(x
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Find the the value of x
Please help giving branliests to first answer
Answer:
I guess the answer is x=0.2/45
If you had a cube with a side length of 4, how can your write the calculations in exponential form? You write it in exponential form by What are 2 other ways to read the exponent verbally.
4^3
you can write it like 4 × 4 × 4
you can also call it "Four to the Third power". or "Four cubed".
HELP ME ASAP!!!!!!!!!!!
Pls see question attached.
WINNER GETS BRAINLIEST, THANKS AND A STAR RATING-EXCELLENT!!!!!!!!! Good Luck!
apokibunnyavatar xx
Answer:
y=2x-1
Step-by-step explanation:
Answer:
y=2x-1
Step-by-step explanation:
Every 1 x the line goes across it goes up 2 so x=2. You will also notice that the line passes through -1 on the y so y=2x-1/ BTW great graphing calculator to check lines and equations
desmos calculator
Please help!!!!!!!!!!!!
Answer:
[tex]40\frac{5}{8}mm^2[/tex]
Step-by-step explanation:
To find the area of a triangle, one must use the formula,
[tex]\frac{base*height}{2}[/tex]
It is given that
- base = [tex]9\frac{3}{4}[/tex]
-height = [tex]8\frac{1}{3}[/tex]
Substitute in the values and solve;
[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]
In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;
- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]
- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]
Substitute,
[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]
Cross simplify,
[tex]\frac{\frac{325}{4}}{2}[/tex]
Further simplify,
[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]
Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,
[tex]40\frac{5}{8}[/tex]
Sofia was following a recipe to cook for her friends. She only used ⅔ of the chicken in the recipe because it was a small gathering. If she ended up using 2.5 pounds of chicken, how many pounds of chicken are called for in the actual recipe?
Answer:
3.75
Step-by-step explanation:
Divide 2.5 by 2 to find out what 1/3 would be, then multiply that by 3 to get your answer - 3.75 pounds of chicken are called for
Hopefully this helps- let me know if you have any questions
Matt spins the spinner above 400 times and it lands on six 43 times. How many times out of the 400 spins would you predict spinner to land on six.
Answer:
50 times
Step-by-step explanation:
Given that:
Number of spins = 400
Sample space = (1, 2, 3, 4, 5, 6, 7, 8)
Probabililtybof landing on 6 on a single spin :
Probability = required outcome / Total possible outcomes
P(landing on a six) = 1/ 8
Probability of landing on a 6 in 400 spins :
1/8 * 400 = 50 times
Jason is a skilled rapper. He has already rapped a 40-word intro to a song and continues to rap 5 words per second.
Write an inequality to determine how many more seconds tt he will rap to complete the song if the total song, including the intro, is at least 500 words.
Answer:
5[tex]t[/tex] + 40 ≤ 500
Step-by-step explanation:
Jason can rap 5 words per second
5t
He can already rap 40 words into the song
40
There are 500 words to the whole song
500
5[tex]t[/tex] + 40 ≤ 500
The inequality to determine how many more seconds t he will rap to complete the song if the total song, 5t+ 40 ≥500.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Jason can rap 5 words per second
let 't' be the time Jason rap then number of words he rap after t seconds 5t.
and, He can already rap 40 words into the song
Also, the whole sing contains 500 words.
Then, the inequality is
5t+ 40 ≥500.
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A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what is the approximate height of the tree?
Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
[tex]\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.[/tex]
Hence, the height of tree = 15 ft. 6 inches
which of the following expression equal 44 / 100
Answer:
Where are the following expressions?
Step-by-step explanation:
what translation does the rule (x,y) to (x-7, y) describe?
A point is chosen at random on AK what is the probability that the point will be in CG
Answer:
The answer would be 2/5
Step-by-step explanation:
Fill in 2 as numerator then 5 as denominator.
(You welcome)
i need help finding the area of these two
Answer:
50 cm² and 56 cm²
Step-by-step explanation:
The area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the length of the diagonals )
(2)
A = [tex]\frac{1}{2}[/tex] × (8 + 2) × (5 + 5)
= 0.5 × 10 × 10
= 5 × 10
= 50 cm²
(3)
A = [tex]\frac{1}{2}[/tex] × (12 + 2) × (4 + 4)
= 0.5 × 14 × 8
= 7 × 8
= 56 cm²
To amend a country's constitution, 3/4
of the 46 states in that country must approve the amendment. If 35 states approve an amendment, will the constitution be amended?
Answer:
to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
35/50 >= 3/4
does not hold either, therefore the Constitution cannot be ammended
Step-by-step explanation:
Solve for x using the diagram. (Simply your answer)
Answer:
x=6
Step-by-step explanation:
The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).
Since, they're similar, the sides are in ratio to eachother:
[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]
12(2x+3)=20(x+3)
24x+36=20x+60
4x=24
x=6
Lily bought a bag of gummy bears and ate one-third of them. The next day, she ate 16 more gummy bears. If she ate a total of 37 gummy bears, how many were originally in the bag?
PLZ GIVE ME STEP BY STEP EQUATION ASAP!!
Answer: 63 total gummy bears
Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63
Equation= 37 - 16 x 3= 63
Let that be x
[tex]\\ \rm\rightarrowtail x/3+16=37[/tex]
[tex]\\ \rm\rightarrowtail x/3=37-16[/tex]
[tex]\\ \rm\rightarrowtail x/3=21[/tex]
[tex]\\ \rm\rightarrowtail x=21(3)[/tex]
[tex]\\ \rm\rightarrowtail x=63[/tex]
What is the radius of the circle?
The diameter of a circle measures 7 5/6 inches.
Enter your answer as a mixed number.
__ in.
Answer first, answer right, get brainly.
Answer:
3 11/12 in.
Step-by-step explanation:
The radius is simply half of the diameter.
7 5/6 divide by 2 = 3 11/12
PLS HELP it’s due today. Khan academy. One question. I’m struggling.
Answer:
132 square units
Step-by-step explanation:
We are to find the surface area of a square pyramid.
From the diagram above, we are given:
Slant height = 6 units
Base = 8 units
The formula is given as:
= 2bs + b²
= 2 × 8 × 6 + 6²
= 96 + 36
= 132 square units
If u can’t see it can I can post it again
Answer:
Step-by-step explanation:
The property of 30°-60°-90° :
The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.
Which of the following statements is true for the equation 2x+2=3x+1? The equation is never true. The equation is only true for x = 1 The equation is true for all values of x. The equation is true for all values except x = 1.
How many 7-digit even numbers can be
formed using all of the digits 0, 1, 1, 2,
3, 4, 5?
Answer: The answer is 1320 hope this is right.
Step-by-step explanation:
Question 1
SCHOOL ELECTIONS Henrietta conducted a random survey of 60 students and found that 36 are planning to vote for her as class
president. If there are 460 students in Henrietta's class, predict the total number of students who will vote for her as class president.
Answer:
276 students
Step-by-step explanation:
36/60=0.6
Therefore, 60% of students in the random survey are planning to vote for her. Using that 60%, we can predict how many students in all will vote for her.
460(0.6)=276
That means 276 students will vote for her.