Answer:
18 units
Step-by-step explanation:
Area = length * width (A = L * w)
So, in order to find the length when given the width and area, you have to divide the area by the width.
432 / 24 = 18
I hope this helps! Have a lovely day!! :)
If log_10(x) = 3 + log_10(y), then find x/y
Answer:
1000Step-by-step explanation:
[tex]log_{10}x = 3 + log_{10}y[/tex][tex]log_{10}x - log_{10}y = 3[/tex][tex]log_{10}(x/y) = 3[/tex][tex]x/y = 10^3[/tex][tex]x/y = 1000[/tex]Answer:
x/y = 10^3 = 1000
Step-by-step explanation:
The rules of logarithms tell you ...
log(x/y) = log(x) -log(y)
__
Here, we have ...
log(x/y) = log(x) -log(y)
= (3 +log(y)) -log(y) = 3 . . . . . . . . substittute for log(x)
Taking the antilog, we get ...
log(x/y) = 3
x/y = 10^3 = 1000
_____
Additional comment
The expression log(x) is often used to refer to the "common log" of x, which is the logarithm to the base 10. This lets us avoid the cumbersome notation log_10(x).
In more formal mathematics, log(x) may be used to refer to the natural log. The distinction is usually made in high school algebra by referring to the natural log using ln(x).
Sara and her friends are enjoying a bag of candy-coated chocolates. Just for fun, they remove 80 pieces of candy from the bag to check their color. The outcomes are shown in the table.
Candy Color Number of Candies
brown or orange 25
green or yellow 28
red or blue 27
Which statement is true based on the results in the table?
A.
All of the outcomes are equally likely because their relative frequencies are similar.
B.
All of the outcomes are equally likely because the relative frequency of picking brown or orange candies is greater than that of picking green or yellow.
C.
All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.
D.
All of the outcomes are not equally likely because the relative frequency of picking green or yellow candies is the highest.
E.
All of the outcomes are not equally likely because the relative frequency of picking red or blue candies is less than that of picking green or yellow.
Answer:
A
Step-by-step explanation:
There doesn't appear to be any particular color that has several more than the other choices.
Answer:
Option E
Step-by-step explanation:
If she picked them randomly than the 80 she picked are a pretty good representation of the candies in the bag, we know that there are different amounts of each candy based on Sara's numbers. According to her results, there are more green or yellow candies than brown or orange so the odds are there are more green or yellow candies in the bag. Since there are different numbers of each candy, the odds of her picking a certain color is different than the others, so the outcomes are not equally likely. The answeres can now be C,D, or E. I think it's option E because to me it seems like the most accurate of the three.
The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
A. 15x^2 + 4x + 12
B. 15x^2 + 4x - 12
C. 15x^2 + 8x + 12
D. 15x^2 + 8x - 12
Answer:
Choice D is the correct answer
Step-by-step explanation:
Use the foil method and expand
Hey ! Can anyone help me solve these problems please. Thank you !
What is the domain of this graph?
Answer:
x > 2
Step-by-step explanation:
The graph starts at x = 2
The graph goes up and to the right so x can't be less than 2.
Eva filled a bucket with 7 gallons of water. A few minutes later, she realizes only 1 3/5 of water remained. How much water had leaked out of the bucket?
Answer:
[tex]6 \frac{2}{5}[/tex]Step-by-step explanation:
[tex]7 - 1 \frac{3}{5} = 6 \frac{2}{5}[/tex]
Simplify the expression. Enter the answer in the box. 5 1/6 - 7 1/3
Answer:
-15.6666667
Step-by-step explanation:
first of all divide both side then minus the divide number
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 6
Step-by-step explanation:
We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.
90° + (4x + 3)° + 63° = 180°
90° + 4x° + 3° + 63° = 180°
4x° + 156° = 180°
4x° = 24°
x = 6
So, x = 6. Hopefully, this helped! If you have any further questions, let me know.
A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train travels
52 mph faster than the first. If the second train overtakes the first at 6:00 PM, what is the speed of each of the two trains?
Answer: First train speed shall be 42 mi/hr
Second train speed shall be 84 mi/hr
Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.
Step-by-step explanation:
What is the 1st train's head start in miles?
Let +s+ = the speed of the 1st train in mi/hr
From 2PM to 4PM is 2 hrs
+d%5B1%5D+=+s%2A2+
---------------------
Let +d+ = distance the 2nd train travels until
it overtakes the 1st train
From 4PM to 6PM is 2 hrs
Start time when the 2nd train leaves
---------------------
Equation for 1st train:
(1) +d+-+2s+=+s%2A2+
Equation for 2nd train:
(2) +d+=+%28+s%2B42+%29%2A2+
--------------------
Substitute (2) into (1)
(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+
(1) +2s+%2B+84+-+2s+=+2s+
(1) +2s+=+84+
(1) +s+=+42+
and
+s%2B+42+=+42+%2B+42+
+s+%2B+42+=+84+
------------------
The 1st train's speed is 42 mi/hr
The 2nd train's speed is 84 mi/hr
---------------------------
check:
(2) +d+=+%28+s%2B42+%29%2A2+
(2) +d+=84%2A2+
(2) +d+=+168+
and
(1) +d+-+2s+=+s%2A2+
(1) +d+-+2%2A42+=+42%2A2+
(1) +d+=+84+%2B+84+
(1) +d+=+168+
In base 2 (Binary system), which equation is false?
*(explain answer in detail)
a) 11+1=101
b) 1x10=10
c) 11x11=1001
d) 100/1=100
e) 1+1+1=11
Answer:
it is a
Step-by-step explanation:
because 11 +1 8n binary is qlways 100 bbecause 11 is in the 4th in the truth table of binary numbers and 100 is in the 5th so 11 + 1 = 4+1
100 = 5
pls mark it as the brainlyest answer
Answer:
It's a.
Step-by-step explanation:
11 binary = 2 + 1 = 3 in decimal.
So 11 + 1 = 3 + 1 = 4 in decimal.
and 4 in binary = 100 (2^2 + 0 + 0)
what is the area of a circle with a circumference of 250
also I lost some of my friends on here and I cant find them and I haven't seen them since June :(
The difference between the number of items on two grocery lists is 7. The combined total number of items on the lists is 33.
Answer:
20 and 13
Step-by-step explanation:
If one list is 'a' and the other one is 'b' then
a-b = 7 and a+b = 33
a-b+a+b = 7+33
2a = 40
a = 20
Now, 20 - b = 7
-b = -13
b = 13
12) Write the equation of a rational function
Vertical asymptote at x = 0 and x = -1
Horizontal asymptote at y = -4
Hole at x = 12
X-intercepts at x = 5, x=-7 L
Answer:
[tex] \frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)} [/tex]
Step-by-step explanation:
A rational function is
[tex] \frac{p(x)}{q(x)} [/tex]
where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use
[tex](x - p)[/tex]
Step 1: We have asymptote as 0 and -1 so our denomiator will include
[tex](x - 0)(x - ( - 1)[/tex]
Which is
[tex](x)(x + 1)[/tex]
So our denomator so far is
[tex] \frac{p(x)}{x(x + 1)} [/tex]
Step 2: Find Holes.
Since 12 is the value of the hole,
[tex](x - 12)[/tex]
is a the binomial.
This will be both on the numerator and denomator so qe have
[tex] \frac{(x - 12)}{x(x + 1)(x - 12)} [/tex]
Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,
[tex] \frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)} [/tex]
Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,
[tex] \frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12} [/tex]
Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.
[tex] \frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)} [/tex]
Above is the function,
I WILL GIVE BRAINLIETS IF THESE ARE ALL RIGHT
This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month?
A. $5,400
B. $5,625
C. $54,000
D. $56,250
Answer:
56,250
Step-by-step explanation:
First e turn the persentage into a decimal so we can multiply the 45,000 by it
45,000 x 0.25 = 11,250
Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month
11,250 + 45,000 = 56,250
The company earned 56,250 this month :)
Hope this helped!
Have a good day!
Please rate and mark brainliest!!
10ft,10ft,4ft what is the area
Answer:
400 ft sq
Step-by-step explanation:
Area = Length x Width x Height
10 x 10 x 4
100 x 4
400
Have a great day!!
Please rate and mark brainliest!!
what is a question that is easier to answer using a stem-and-leaf plot than a dot plot?
Answer:
steam plot
Step-by-step explanation:
because the stem plot is easy to use
Answer:
When you use large numbers and don't have categories.Step-by-step explanation:
Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.
---------------------------------------------------------------------------------------------------------
2 ][ 3 7 9
3 ][ 5 6
4 ][ 1 7 8
5 ][ 2
---------------------------------------------------------------------------------------------------------
If you use dot plot, it is recommended use amounts under 10.
What the value of w?
Answer:
56 degree
Step-by-step explanation:
90 - 34 = 56
Answer:
w = 56
Step-by-step explanation:
w + 34 = 90 (the angle is a right angle)
w = 90-34 = 56
1. Find the area of the polygon
2. Find the area of the polygon
A=__ sq. un
3. In the figure, each of the small squares has an area of 1. What is the area of the shaded region?
(A) 50
(B) 45
(C) 100
(D) 55
Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
What is the volume of this figure?
Enter your answer in the box.
yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.
Answer:
the answer is 4095
Step-by-step explanation:
Answer: 4095
Step-by-step explanation: that one person was right
with proof
Andre drinks 15 ounces of water, which is 3/5 of the bottle. How much does the bottle hold? Use x for the number of ounces the bottle holds.
Step-by-step explanation:
15 = 3/5 x = 3x/5
75 = 3x
x = 25 ounces
In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z.
Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle.
Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A?
5 StartRoot 3 EndRoot units
10 StartRoot 3 EndRoot units
15 units
20 units
Answer:
5 startrood 3 endroot units .
The length of YA from the figure is 10√3 units
Pythagoras theoremAccording to the pythagoras theorem;
YZ² = AZ² + YA²
Given that YZ = 2AZ, hence;
20² = 10² + YA²
YA² = 400 - 100
YA² = 300
YA = √300
YA = 10√3 units
Hence the length of YA from the figure is 10√3 units
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Determine the value of y, if x is -1. y= | x |-4
A 40-kilogram bag of seed is spread evenly about the entire yard. How much, in kilograms, of the seed will NOT be watered? Use: Percentage = watered squares / Total # of Square X 100
The computation of the percentage shows that the kilograms of seed that won't be watered is 12 kilograms.
How to calculate the percentage?Your information is incomplete. Therefore an overview will be given. Let's assume that the watered squares are 35 while the total squares are 50.
Then, the percentage of the watered squares will be:
= 35/50 × 100
= 70%
Therefore, the percentage of the unwatered squares will be:
= 100% - 70%
= 30%
Then, the kilograms of the seed that won't be watered will be:
= Percentage of unwatered seed × Entire kilograms of seed
= 30% × 40kg
= 12kg
In conclusion, the seed that won't be watered is 12 kg.
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There are only 7 days left until the launch of our new product and we only have $668 left and Ira promotion budget we need to spend $85 on the last day can you please calculate how many dollars we can spend on the remaining days
Answer:
97.16
Step-by-step explanation:
in total, you have $668.00.
To reserve enough for the last day, you need to subtract the last day's budget:
This means that, for the remaining 6 days in the week, you have $583.00.
Assuming an equal amount is being spent each day, you can calculate the daily budget by dividing the remaining total by the number of days left.
To avoid going over budget, you can spend $97.16 per day for the other six days.
PLEASE ANSWER THIS ASAP IT'S DUE IN 5 MINUTES!!!!
1. The rule for an arithmetic sequence is: __________?
2. The rule for a geometric sequence is: __________?
Answer:
an = a1 + d (n - 1)
aⁿ = a₁ˣ⁻1
It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?
Answer:
The answer would be 7.7
Step-by-step explanation:
Because 54/7= 7.7
you get 7.7 by dividing which is the unit rate
The equation to model Exponential Growth is:
y= a(1+r)*
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 2 (1 point)
You have been gotten a job offer and the company wants to start you out at $45,000
and will give you a 5% raise every year. Write an equation you could use to
determine how much you would be making after x number of years.
Your salary in x years is modeled an the exponential growth
The equation that determines your salary in x years is y = 45000(1.05)^x
How to model the salary growth?The model of the exponential growth is given as:
y = a(1 + r)^x
From the question, we have:
Initial salary, a = 45000
Raise, r = 5%
So, the equation becomes
y = 45000(1 + 5%)^x
Evaluate the sum
y = 45000(1.05)^x
Hence, the equation that determines your salary in x years is y = 45000(1.05)^x
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For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students randomly chosen from group A and 3 students randomly chosen from group B.
If group A has 4 students and group B has 6 students, how many different team combinations were possible?
Enter your answer as a number, like this: 42
Answer:
120
Step-by-step explanation:
6p3 = 120
The number of the different combinations of the teams will be 26.
What are permutation and combination?A permutation is an act of arranging objects or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.
Given that for a class activity, a teacher put students into teams of 5. The teams were made up of 2 students randomly chosen from group A and 3 students randomly chosen from group B. If group A has 4 students and group B has 6 students,
The number of possible combinations will be calculated as,
C = ⁶C₃ + ⁴C₂
C = ( 4 x 3 ) / 2 + ( 6x 5 x 4 ) /( 3x 2 )
C = 6 + 20
C = 26
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Write the product as a product of a whole number and a unit fraction
3 * 3/8
Answer:
9/8 or 1 1/8
Step-by-step explanation:
3*3/8
3/1*3/8
numerator times numerator and denominator times denominator:
3×3/1*8 = 9/8 or 1 1/8
Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.
Answer:
d/dx x^4 + 4x^3 - 10
4x^3 + 12x^2
4x^3 + 12x^2 = 0
x = 0, -3
plug in x if you want the value