Answer:
\(S(q)= 105\)
Step-by-step explanation:
Given
\(p =S(q) = 2q\)
Required
Calculate S(q) when p = 105
The given equation can be rewritten as:
\(S(q) = p\)
\(S(q) = 2q\)
\(p= 2q\)
Using: \(S(q) = p\)
Substitute 105 for p
\(S(q)= 105\)
Please help me asap I’m really stuck
Answer:
Step-by-step explanation:
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what is two significant digit for 59.3506494?
Answer:
59
Step-by-step explanation:
Round 59.3506494 to the first 2 sig figs which is 59 since the number next to the decimal isnt over or 5, so it stays as 59 instead of 60.
A FRANK RA
FRANK
FRANK
riddle
what do you mean.. is this some other things not about math?
What is 2000 + 2000 - 2000 X 2000 divided by 2000
Answer: 1
Step-by-step explanation:
2000 + (2000-2000)(2000) / 2000
2000 + (0)(2000) / 2000
2000 + 0 / 2000
2000 / 2000
1
Using the picture, find the measure of arc GR. (GK is the diameter)
Answer:
48°
Step-by-step explanation:
Given that GK is the diameter of the circle ;
Then GK which is the half of the circle is 360/2 = 180 (Angle at a Point = 360°)
Diameter =half of the entire circle = 360 /2 = 180
GK = 180°
GK =GR + KR = 180
KR = 132°
180 = GR + 132
GR = 180 - 132
GR = 48°
U10 (e) Solve the equation 2x4 + 5x3 – 5x – 2 = 0
Answer:
x₁=1; x₂=-1; x₃=-0.5; x₄=-2.
Step-by-step explanation:
\(2x^4+5x^3-5x-2=0; \ < = > \ 2(x^4-1)+5x(x^2-1)=0; \ < = > \ 2(x^2+1)(x^2-1)+5x(x^2-1)=0; \ < = >\)
\((x^2-1)(2x^2+2+5x)=0; \ < = > \ (x^2-1)(2x^2+5x+2)=0; \ = >\)
\(= > \ \left[\begin{array}{ccc}x=1\\x=-1\\x=-\frac{1}{2} \\x=-2\end{array}\)
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
15 people working 5 hourse per day can make 30 units of a product in 10 days. Assuming all other factors remaining constant and people of same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
- 2.5 days
- 7.5 days
- 12 days
- 26 days
Answer:
2.5 days
Step-by-step explanation:
To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.
Given:
15 people working 5 hours per day can make 30 units of the product in 10 days.
From this information, we can calculate the work rate of these 15 people:
Work rate = Total units of the product / (Number of people × Number of hours × Number of days)
Work rate = 30 units / (15 people × 5 hours × 10 days)
Work rate = 0.04 units per person per hour
Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.
Using the work rate formula:
Number of days = Total units of the product / (Number of people × Number of hours × Work rate)
Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)
Number of days = 2.5 days
Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.
The correct answer is:
2.5 days
Kyle submits a design for the contest, but his explanation was misplaced. How can figure A be mapped onto figure B? Can any other transformation be used to map figure A onto figure B
Answer:
A
Step-by-step explanation:
ita a bc i know its I did this before
route bought a bicycle for 1200 she later sold it for 800 what was her loss
Answer:
-400
Step-by-step explanation:
Answer:
Her loss was 400
Step-by-step explanation:
CP= 1200
SP= 800
L=?
Now,
L= CP - SP
= 1200 - 800
=400
In what year should Sara turn 14 if she has lived for 3 new years, 6 Christmas holidays, 8 Halloween, 12 thanksgivings, and only 2 valentines day.
PLEASE ANSWER SOON AND CORRECTLY IF YOU MESS AROUND I WILL REPORT U THIS IS NOT A JOKE!!!! I will mark brainliest!
PS assuming she was born this year
Answer:
she will turn 14 in 2034
Step-by-step explanation:
If she was born in 2020, and you add 14 to 2020 you get 2034.
(please give brainliest) (thank you)
What would be the actual length, If the length of the model is 25 ft and the scale factor is lesser
than one?
a) 20 ft
b) 25 ft
c) 30 ft
Answer:
20 ft
Step-by-step explanation:
brainliest please
Answer:
30 ft
Step-by-step explanation:
If the scale factor is less than 1, that means model would smaller than the actual.
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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Your swimming pool containing 65,000 gal of water has been contaminated by 7 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return the water to the pool at a flow rate of 200 gal/min. Assume that the dye is uniformly distributed throughout the pool.
(a) What is the initial value problem for the filtering process?
(b) You have invited several dozen friends to a pool party that is scheduled to begin in 4 h. You have determined that the effect of the dye is imperceptible if its concentration is less than 0.03 g/gal. Is your filtering system capable of reducing the dye
concentration to this level within 4 h?
Answer:
a) \(a(t)=7e^{\frac{-t}{325} }\)
b) it is noticeable
Step-by-step explanation:
a) Let a(t) be the amount of die at time t. a is in kg and t is in minutes. Therefore:
\(\frac{da}{dt} =\frac{-a(t)}{65000}*\frac{200gal}{1 min}=\frac{-a}{325}\\\frac{da}{a} =\frac{-1}{325} dt\\\int\limits{\frac{1}{a} } \, da =\int\limits{\frac{-1}{325} } \, dt\\ln(a)=\frac{-1}{325} t+c\\a=ce^{\frac{-t}{325} }\\at\ t=0, a=7\\ 7=ce^0\\c=7\\a(t)=7e^{\frac{-t}{325} }\)
b) 4 hrs = (4 * 60) min = 240 min
\(a(t)=7e^{\frac{-t}{325} }\\a(240)=7e^\frac{-240}{325} = 3.345kg\)
3.345 kg = (3.345 * 1000 / 60000) g/gal = 0.0557 g/gal
0.0557 g/gal > 0.03 g/gal, therefore it is noticeable
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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naina made a 10 layer multi strand ornament for her friend Diana. She used 45 beads for the first layer, 42 beads in the 2nd layer and 39 beads in the third layer. how many total beads did naina use to complete the ornament
Answer:
To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.
Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)
Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:
S = (n/2) x (a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:
S = (10/2) x (45 + 18) = 5 x 63 = 315
Therefore, Naina used a total of 315 beads to complete the ornament.
Answer:
The answer to your problem is, 1260
Step-by-step explanation:
Well we know she made 10 “ strand ornaments “ for each layers we would need to add;
45 + 42 + 39
= 126
We would actually then need to multiply it by 10. Shown:
126 × 10
= 1260
Thus the answer to your problem is, 1260
Which of the following represents a line of symmetry for the octagon shown?
Let us locate the points of the parallelogram
\(\begin{gathered} K(-3,7)\rightarrow K^{\prime}(3,3) \\ J(-6,5)\rightarrow J^{\prime}(6,1) \\ M(-6,-3)\rightarrow M^{\prime}(6,-7) \\ L(-3,-1)\rightarrow L^{\prime}(3,-5) \\ \text{The rule is } \\ (x,y)\rightarrow(-x,y-4) \end{gathered}\)Evaluate this expression for the given values of x and y 2xy x=5 y= -3 FAST QUICK I WILL GIVE BRAINLIEST
I'm on my cousin account and I don't understand how to write 50%in simplest form
Answer:
1/2
Step-by-step explanation:
Percent is out of 100. So another way you could right 50% is 50/100. Now, how much is 50 of one hundred? 50 is half of 100. Another way you could do this is that you see how both numbers are divisible by 50, so you do 50/100*50/50=1/2/ This works because 50/50 is basically 1 and anything multiplied by 1 is itself.
need help real baddddddddddddd
Answer:
x≥2 and x<2 : ∅
x≥2 or x<2 : All real numbers
x≤2 and x≥2 : 2
Step-by-step explanation:
the first one must follow both conditions, so no number would work.
the second one works with any number, so all real numbers.
the third one has only one condition that works, 2
when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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the unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears
The unit rate for Option A is $4.4 per pound of gummy bears.
The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.
The unit rate is used to determine how much an item costs per unit of measure.
To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.
Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.
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Here is the complete question given below:
The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.
Please please please please please please please please please help me I don’t know this question asking questions like this like I’m in high school
Answer:
Multiplication -- > 6 × 3 - 8
Division --> (4 + 3)/2
Subtraction --> 4 - 5 + 7
Addition --> 15 + 8 ÷ 4 - 6
Question 1 of 10
Which expressions are equivalent to the one below? Check all that apply.
log 2-log 4
A. log(¹)
B. log 1
C. log(2) + log(¹)
D. log 2
"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).
The expression "log 2 - log 4" can be simplified using logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."
The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:
A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.
B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.
C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.
D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.
Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.
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find the selling price cost to the store: $50 markup:10%
Answer:
$55
Step-by-step explanation:
I am not good at explaining, but, 10% of 50 is 5.
Marking up means the price goes up.
So if 10% of 50 is 5.
50 + 5 = new price
50 with a mark up of 10% = 55
convert 1 4/5 into an improper fraction
Answer:
9/5
Step-by-step explanation:
I hope this helps im pretty sure its correct
A researcher is interested in the relationship between time spent browsing items in an online store and the total amount purchased from the store. The researcher selects a random sample of visitors to the online store and records the time spent browsing and the total amount of their purchase. The researcher will conduct a t-test for the slope of a regression line, where time spent browsing is the explanatory variable and total amount of purchase is the response variable. Which of the following would be an indication that the normality condition has been met?
A. A sample size that is less than 30
B. A histogram of the residuals that is centered at 0 and strongly right skewed
C. A dotplot of the residuals that is centered at 0, unimodal, and symmetric
D. A boxplot of the residuals that is centered at 100 and does not provide evidence of skewness or outliers
E. A scatterplot where total amount of purchase is the explanatory variable and time spent browsing is the response variable
Answer:
C
Step-by-step explanation:
AP Classroom
on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your answer in square kilometers
Given :
On a map with a scale 1: 25000 .
The area of a lake is 33.6 square centimeters.
To Find :
The actual area of the lake.
Solution :
Let, actual area of lake is A.
So,
\(\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2\)
We know , \(1 \ cm^2 = 10^{-10}\ km^2\)
Area in km² is :
\(A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2\)
Hence, this is the required solution.
How do you simplify 35/100
Answer:
35/100
Step-by-step explanation:
it would be 7/20 because both the numerator and denominator are divisible by the number 5.
Solve and type in a different form by using the given theorems and logarithms.
Given the following expression:
\(log_{10}MN\)The expression can be written using the theorems of logarithms as follows:
\(log_{10}MN=log_{10}M+log_{10}N\)