Answer:
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base
( 5 ) of the left side ( 25 ) equals the exponent ( 2 ) . log 5 ( 25 ) = 2
Use the definition of a logarithm,
log b ( x ) = y ⟹ b y = x , to convert from the logarithmic form to the exponential form.
32 4/ 5 = 16
Write the equation of the parabola with a focus of (-5,0) and directrix of x=7
Answer:
[tex]\left(y-5\right)^2=-14\:\left(x-\frac{7}{2}\right)[/tex]
Step-by-step explanation:
Answer:
x=(y-5)^2/14 +7/2
A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?
Step-by-step explanation:
10+6 = 16
since 112/16 = 7
add 7*10 white and 7*6 striped
Answer:
Alright, solve 10 + 6 = 16
Place a proportion of 10 / 16 and 6 / 16
Multiply 10 and 112, and 6 and 112, and divide both by 16
This will get you 70 / 42
70 / 42 = 10 / 6
70 * 6 = 420, 42 * 10 = 420
420 = 420
70 white golf balls, and 42 striped.
Step-by-step explanation:
Im sorry for lagging man :( i hope that helps
pls help me rnnn and dont u dare to put links
Answer:
g=4, h=2
Step-by-step explanation:
Answer:
[tex]g=4, h=2[/tex]
Step-by-step explanation:
First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20
Then, just divide 10h by 10 to get h alone. h=2
Plug it in 6g+8h=40
6g+16=40
-16 -16
6g=24
g=4
So the answer is g=4, h=2
Have a great day! :))
Solve for x.
45(x−310)=−214
Enter your answer as a mixed number in simplest form in the box.
x =
The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
To learn more about an equation visit:
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I need help I’m revising for a test and l don’t understand this question please help!
Answer:
- 5 ≤ x < 3
Step-by-step explanation:
The lower limit has a solid circle at - 5
This means that x can equal - 5
The upper limit has an open circle at 3
This means that x cannot be equal to 3
The inequality represented by the diagram is then
- 5 ≤ x < 3
What does this problem equal? -2/3x-3-3
Answer:
-1
Step-by-step explanation:
-2/3*-3-3
2-3
= -1
Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents Leonard's income for the week? (1 point)
15 + 100d
15d + 100
15 + d + 100
15 + 100
Answer:
...........
[tex]⟼15d + 100[/tex]
halp me please and explain
Answer:
-2×2+1/2×(-1×3+2/3)
-3/2×(-1/3)
3/6
Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
Answer:
N=48
Step-by-step explanation:
2^9+2^4+48=576
576 is a perfect square
The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48
The number is given as:
[tex]2^9 + 2^4 + N[/tex]
Evaluate the exponents
[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]
Add 512 and 16
[tex]2^9 + 2^4 + N = 528 + N[/tex]
The above equation means that:
The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.So, the smallest value of the equation is 576.
The equation becomes
[tex]528 + N = 576[/tex]
Subtract 528 from both sides
[tex]N = 576 - 528[/tex]
[tex]N = 48[/tex]
Hence, the least value of N is 48
Read more about perfect squares at:
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Can someone pls help me...
a population of bacteria is increasing at a rate of 7.5% per hour. if there were originally 275 bacteria, which of the following eguations models the population of bacteria h-hours after the original 275 bacteria were measured?
this is an exponential growth formula:
Total = start value x ( 1 + percent) ^ time
Population = 275(1.075)^h
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answer:
whaat?
Step-by-step explanation:
Sweet Treats Bakery sells gourmet cookies. If three gourmet cookies cost $7.95, then
how much will it cost to buy 10 cookies?
Answer:
$26.50
Step-by-step explanation:
7.95/3=2.65
2.65*10=26.5
Answer:
$26.50
Step-by-step explanation:
If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.
1 cookie is 7.95/3 = 2.65.
Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.
10 cookies will cost $26.50.
Does anyone know this answer??
Answer:
In My Opinion, y < 425 - x
I hope this helps.
plss help, it’s pretty easy tho
Answer:
B
Step-by-step explanation:
I need help with this also I had was to repost it again because someone deleted it
Answer: 8:05
Step-by-step explanation:
Answer: 8:05
Step-by-step explanation:
Solve for q.
14 = 3q + 8
q =
Answer:
q = 2
Step-by-step explanation:
Move all terms that don't contain q to the right side and solve.
Answer:
q=2
Step-by-step explanation:
Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Answer:
im pretty sure its D
Step-by-step explanation:
y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=
Answer: Y=20
Step-by-step explanation:
X is doubled from 3 to 6 meaning that y is also doubled.
Double 10 is 20 so y=20.
For which values of x does each expression make sense? √(-2x)^2
We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0
We know that the argument of a square root can only be a real number equal to or larger than zero.
In this case, we have the expression:
[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]
One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.
The first thing we need to do is to make the argument equal or larger than zero:
-2x ≥ 0
x ≤ 0/-2
x ≤ 0
So the given expression only makes sense for x ≤ 0
If you want to learn more about rational expressions, you can read:
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Answer: No, the answer is All Real Numbers
Step-by-step explanation: e
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?
Answer:
$6.40
Step-by-step explanation:
9.15-2.75=6.40
The number 2.31 is 2,200 times greater than 1.05 .
Find the correct value of x and y.
A. x = 10 and y = 30
B. x = 10 and y = 13
C. x = 30 and y = 10
D. x = 13 and y = 10
Answer:
2.31 is not 2,200 times greater than 1.05.
(2,200)(1.05) = 2310
Did you mean 2.200 times greater?
I don't understand what to do with x and y. It seems the correct values are listed, absent any additional information.
Step-by-step explanation:
Please help me solve this ASAP!
Answer:
Translation 2 units up and 4 units to the left.
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
Find the size of CAO
Answer:
The measure of <CAO = 21°
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answer:
16 tiles
Step-by-step explanation:
If the tile is a 1/4 foot wide, then 4 will fit in a foot, and if theres 4 feet to fill, 16 tiles will fit.
If you wanted to write an equation to solve it:
[tex]\frac{1}{4}x=4[/tex]
where x is the number of tiles that will fit. This equation reads "1/4 foot times the number of tiles = 4 feet"
[tex]\frac{x}{4} =4\\x=4\times4\\x=16[/tex]
Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?
By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20
We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.
Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.
This gives:
($13.00 h^-1)*(67.4 h) = $876.20
This means that Andrew wins $876.20 per week with this job.
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after working out for 45 minutes, Juanita heartbeat at 75 beats in 30 seconds what equation represent the relatship of b and m
Answer:
abcdefghijklmnopqrstuvwxyz