Answer:
The 1095 represents the amount of transactions already processed.
Step-by-step explanation:
Since this equation is showing us the number of transactions added over time, we know that in A = P(1 + r)^t,
A is the total amount
P is the starting amount
r is the rate
t is the time
So, our 1095 matches with P, and is the starting amount of transactions.
Answer:
The initial number of transactions was 1,095.
Step-by-step explanation:
Find the number of terms in this polynomial 7b^7
Answer:
1
Step-by-step explanation:
The number of terms in the polynomial;
7b^7
The number of terms in this polynomial is simply 1
Since the two are together, they are treated as a single term in the polynomial.
Take for example a quadratic polynomial;
3x^2 + 2x + 1
This is a polynomial with 3 terms.
All multiplications are treated as a single unit.
This is the case in terms of what we have too
Helppp!!!! please!!!
Answer:
I. (x - 6)² + (y + 7)² = 121
Step-by-step explanation:
Given a circle with coordinates of the center as (6, -7), and with a diameter of 22, equation of the circle is given below using the standard equation formula of a circle:
Formula => (x - a)² + (y - b)² = r²
Where,
a = 6
b = -7
r = radius of circle = ½ of diameter = ½ of 22 = 11
Thus, plug in the above values into the standard equation formula:
(x - 6)² + (y - (-7))² = 11²
(x - 6)² + (y + 7)² = 121
Our answer, which is the equation of the circle is I. (x - 6)² + (y + 7)² = 121
Which of the following is not meaningful _________.(a) XIV (b) XXXV (c) XXV (d) VX
Answer:
VX
Step-by-step explanation:
V=5
X=10
We cannot write 5 before 10
Calculate the equation of the line through the points (1, 1), (4,3), (10, 7) and (40, 27).
Answer:
y = 2/3x + 1/3
Answer:
y = 2/3x + 1/3
Step-by-step explanation:
Write "3 divided by n to the fifth" as an expression.
A. 3/n^5
B. (5/n)3
C. 5/n^3
D. (3/n)5
Answer:
The answer is option A.
[tex] \frac{3}{ {n}^{5} } [/tex]
Hope this helps you
The expression for " 3 divided by n to the fifth" is given by
[tex]\frac{3}{n^{5} }[/tex].
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
According to the given question.
We have a statement
" 3 divided by n to the fifth"
Since, n to the fifth can be written as [tex]n^{5}[/tex].
Therefore,
the expression for " 3 divided by n to the fifth" is given by
[tex]\frac{3}{n^{5} }[/tex].
Thus, option A is the correct.
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
D.
Step-by-step explanation:
As long as the function's largest power is two, it is a quadratic function.
a. (3x - 2)(4x + 7)
= 12x^2 - 8x + 21x - 14
The largest power is 2. This is a quadratic function.
b. 7x^2 + 8x
The largest power is 2. Quadratic function.
c. (2x - 1)^2
= 4x^2 - 4x + 1
Largest power is 2. Quadratic function.
d. 8x^4- 3x^3 + 5x^2
Largest power is 4. Non-quadratic function.
Hope this helps!
If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,
what is the relationship between the intensities of the two earthquakes?
Answer:
sister and brother
The prime fatorization of a number is 2×2×3×7×7.Is the number a perfect square? How do you know
Hey there! I'm happy to help!
A perfect square is a number whose prime factors can be multiplied together to obtain two identical factors.
Look at 64. It's prime factors are 2×2×2×2×2×2. If we multiply these 2's together to obtain two identical numbers, then 64 is a perfect square.
We see that there are six twos being multiplied. So, that means we have two groups of three twos, and since they both have three twos, they are identical! Three twos multiplied is 8, and 8²=64. Pretty cool right?
Now, we need to find identical groups of these numbers. We have two sevens, two 2's and one three. We could have two groups with one 7 and one 2, but this extra 5 would throw it off balance, so we cannot obtain two equal numbers from this.
Therefore, this number is not a perfect square.
I hope that this helps! Have a wonderful day!
root( x-1 ) = 2 - root (x+3)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]
[tex]x-1=x+7-4\sqrt{x+3}[/tex]
Subtract x on both sides.
[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]
[tex]-1=-4\sqrt{x+3}+7[/tex]
Subtract 7 on both sides.
[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]
[tex]-8=-4\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]
[tex]64=16x+48[/tex]
Subtract 48 on both sides.
[tex]64-48=16x+48-48[/tex]
[tex]16=16x[/tex]
Divide both sides by 16.
[tex]\frac{16}{16} =\frac{16x}{16}[/tex]
[tex]1=x[/tex]
Switch sides.
[tex]x=1[/tex]
Which graph represents the scenario? PLEASE HELP VERY EASY
Answer:
The answer is option B.
The second graph.
Hope this helps you
What is the Greatest common divisor of 378 and 420?
Answer:
42
Step-by-step explanation:
When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.
So in this case the smallest divisor will be 2.
378 =189. 420 =210
2. 2
The next divisor that 189 and 210 can both be divided with is 3
189 =63. 210 =70
3. 3
The third smallest divisor that can 63 and 70 can be divided with is 7
63 =9. 70 =10
7. 7
9 and 10 have no common divisors that can divide them fully without leaving a remainder
So to get the greatest common divisor, multiply all the divisors you have used
In this case we've used 2,3,7
2x3x7= 42
Hey everyone, can you please help me with this question? THANKS!
Answer:
6 granite, 3 marble, 14 sandstone, 1 slate
ratio of sandstone to marble
how many sandstone does she have .....14
how many marble does she have......3
so the ratio would be 14:3
Answer:
C. 14:3
Step-by-step explanation:
Dana has 14 pieces of sandstone.
Dana has 3 pieces of marble.
The ratio of pieces of sandstone to pieces of marble is 14:3.
The ratio cannot be simplified further.
PLZZZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEE what is the factorization of the polynomial graphed below? assume it has no constant factor. write each factor as a polynomial in descending order.
Answer:
(x-5)(x-8)(x+2)=0
Step-by-step explanation:
first look at the x intercept to find the factor
x:-2,5,8
x=-2 then x+2=0
x=5 then x-5=0
x=8 then x-8=0
(x-5)(x-8)(x+2)=0
check for y in the polynomial when x=0
x^3-11x^2+14x+80
x=0 y=80 ( correct according to the graph
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.
Answer:
The cup holds 26.2 in3 more ice cream than the cone.
Step-by-step explanation:
1. Let's find the volume of ice cream that the cone holds, this way:
Volume = π * r² * h/3
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 5/3
Volume =32.7 inches³
2. Let's find the volume of ice cream that the cup holds, this way:
Volume = π * r² * h
Diameter = 5 inches ⇒ Radius = 2.5 inches
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 3
Volume =58.9 inches³
3. Let's find the difference, this way:
Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³
The cup holds 26.2 in³ more ice cream than the cone.
In 2009 the bureau of labor statistics reported a surge in volunteerism. At this time there were a reported 63,361 volunteers in the us. The pie chart below shows the different categories in which these people volunteered. Find the number of people who volunteered in an educational capacity. Round your answer to the nearest whole number
Answer:
16,537
Step-by-step explanation:
Total Number of Volunteers in the US = 63,361
The pie chart for the question has been reproduced and attached below.
From the pie chart
Percentage of people who volunteered in the educational capacity = 26.1 %
Therefore, the number of people that volunteered in the educational capacity
=26.1% of 63,361
=0.261 X 63,361
=16,537 (to the nearest whole number)
Number of people who volunteered in an educational capacity is 16,537 people.
Pie chart and percentage based problem:What information do we have?
Total number of volunteers = 63,361
Number of people who volunteered in an educational capacity = Total number of volunteers × Percentage of educational
Number of people who volunteered in an educational capacity = 63,361 × 26.1%
Number of people who volunteered in an educational capacity = 16,537.2
Number of people who volunteered in an educational capacity = 16,537
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what is the rule of the rectangle tell me plz
Answer:
The formula for perimeter is 2l+2w, where l is the length and w is the width.
The formula for area is lw, where l is the length and w is the width.
What is the next term of the arithmetic sequence?
6,2, -2, -6,
Answer:
-10
Step-by-step explanation:
-4 between each number
Find the equation of the line passing
through the points (3, 3) and (4, 5).
y = [? ]x + [
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
1
Step-by-step explanation:
Slope (m) of the line can be derived using the following formula below:
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
To solve this, we can pick any two points on the line, and use the coordinates of the points to solve for the slope (m) of the line.
To find the slope (m) of the line given, let's use the coordinates of the points where the line intercepts the y-axis and the x-axis.
Thus, when x = 0, y = 3. Let's make this the first pair of coordinates at the point where the line intercepts the y-axis.
At the point where the line intercepts the x-axis, when x = -3, y = 0.
We now have the following points => in the following format (x, y) as:
Point 1 => (0, 3). Let this be (x1, y1)
Point 2 => (-3, 0). Let this be (x2, y2)
==>Let's find slope (m):
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] m = \frac{0 - 3}{-3 - 0} [/tex]
[tex] m = \frac{-3}{-3} [/tex]
[tex] m = 1 [/tex]
Slope (m) = 1
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half
Answer:
C. Negative three-fourths
Step-by-step explanation:
Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:
-1 1/4 + 1/2
Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:
-5/4 + 1/2
Taking the LCM of the expression
= (-5+2)/4
= -3/4
Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths
Answer:
-3/4
Step-by-step explanation:
-1 1/4 +1/2
-5/4 + 2/4
-3/4
Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.
Answer:
Annual Interest Rate, r = 5.69%
Step-by-step explanation:
Amount of loan taken = 220,000
Closing fee is 5% of the loan value
Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000
Therefore, Principal, P = Loan amount + closing fee
P = 220000 + 11000
P = 231, 000
Annual rate, r= 5.25% = 0.0525
Monthly rate, i = 0.0525/12 = 0.004375
Time, n = 30 years = 30*12 = 360 months
The monthly payment will be calculated by:
[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59[/tex]
Assuming payments are made based on 220,000, let us calculate the monthly interest rate.
[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229[/tex]
Annual rate, r = 12 * 0.0047429
r = 0.0569 = 5.69%
[tex](\frac{15}{17},\frac{8}{17}[/tex]
The answer is = 1
[tex]\left(\frac{15}{17},\:\frac{8}{17}\right)[/tex]
[tex]\sqrt\left(\frac{15}{17})^2,\:(\frac{8}{17}\right)^2[/tex]
simply = 1
State whether the data described below are discrete or continuous, and explain why The durations of movies in minutes A Choose the correct answer below OA. The data are continuous because the data can take on any value in an interval. St O B. The data are continuous because the data can only take on specific values OC. The data are discrete because the data can take on any value in an interval. O D. The data are discrete because the data can only take on specific values. G D
Answer:
D. The data are discrete because the data can only take on specific values.
Step-by-step explanation:
Continuous variables are variables that can take on any value in an interval. Examples of continuous variables are length, time, etc.
Discrete variables on the other hand are variables that can only take on specific values.
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The correct option is D.
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
Answer: 29
Step-by-step explanation:
Factorize: 9(2a – b)^2 – 4(2a – b)
Answer:
(2 a - b) (18 a - 9 b - 4)
Step-by-step explanation:
Factor the following:
9 (2 a - b)^2 - 4 (2 a - b)
Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):
(2 a - b) (9 (2 a - b) - 4)
9 (2 a - b) = 18 a - 9 b:
Answer: (2 a - b) (18 a - 9 b - 4)
in the given figure angle 1 is equal to angle 2 then the measurements of angle 3 and angle 4 are
Answer:
(3) = 119
(4) = 119
Step-by-step explanation:
Given isosceles triangle with vertex angle 58.
Need exterior angles of base angles 1 & 2.
Solution:
Vertex angle = 58.
Base angle = x
Sum of triangles = 180 =>
x + x + 58 = 180
Solve for x
x = (180-58)/2 = 122/2 = 61
Exterior angles are supplementary to interior (base) angles, so
(3) = 180-(1) = 180 - 61 = 119
(4) = 180-(2) = 180 - 61 = 119
* note: supplementary means sum of two angles = 180.
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
The sum of the interior angle of the triangle is 180degrees.
According to the diagram shown:
m<1 + m<2 + 58 = 180
Since <1 = <2, hencce:
m<1 + m<1 + 58 = 180
2m<1 = 180 - 58
2m<1 = 122
m<1 = 122/2
m<1 = 61 degrees
Since <1 = <2, thereofore m<3 = m<4
Get the measure of m<3
m<1 + m<3 = 180 (supplementary angles)
61 + m<3 = 180
m<3 = 180 - 61
m<3 = 119 degrees
Recall that m<3 = m<4, hence m<4 = 119degrees
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
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The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variability of the prices of socks in kid sizes or adult sizes?
Answer:
a. There is more variability in the prices of kid socks because they have a greater range.
Step-by-step explanation:
A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.
From the histogram
Highest Number of Packs of Adult Socks = 7
Lowest Number of Packs of Adult Socks = 5
Range = 7 - 5 =2
Highest Number of Packs of Kid Socks = 7
Lowest Number of Packs of Kid Socks = 4
Range = 7-4 = 3
We conclude that there is more variability in the prices of kid socks because they have a greater range.
The correct option is A.
Answer:
A: Range
Step-by-step explanation:
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Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5), an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24, find the probability that the number of people in the sample who have been told that they have hypertension will be:
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5). an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24. find the probability that the number of people in the sample who have been told that hypertension will be: a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive
Solution:
This is a binomial probability distribution. If an adult is selected randomly, the outcome is either he has been told that he has hypertension or he has not been told. The probability of success, p would be that a randomly selected adult, x has been told. Therefore,
p = 0.24
n = 20
a)We want to determine P(x = 3). From the binomial probability distribution calculator,
P(x = 3) = 0.15
b) P(x ≥ 3) = 0.89
c) P(x < 3) = 0.11
d) P(3 ≤ x ≤ 7)
It would be P(x ≤ 7) - P(x ≥ 3)
P(x ≤ 7) = 0.92
Therefore,
P(3 ≤ x ≤ 7) = 0.92 - 0.89 = 0.03
Simplify the following expresion. Classify the resulting polynomial 4x(x+1)-(3x-8)(x+4) A) quadratic monomial B) quadratic trinomial C) quadratic binomial D) linear binomial
Answer:
Quadratic binomial
Step-by-step explanation:
4x(x+1) - (3x-8)(x+4)
Open parenthesis
(4x^2+4x) - (3x^2+12x-8x-32)
(4x^2+4x - 3x^2-12x+8x+32)
Collect like terms
4x^2-3x^2+4x+8x-12x+32
=x^2+32
Quadratic binomial
Answer:
B. Quadratic trinomial
Step-by-step explanation:got it right on Pluto hope it helps
Smplify the radical expression. How many different ways can you write your answer?
Answer:
[tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].
Step-by-step explanation:
The given radical expression is
[tex]\sqrt[3]{16x^5y^3z}[/tex]
We have to simplify the above expression.
The above expression can be written as
[tex]\sqrt[3]{(2\times 8)(x^{3+2})y^3z}[/tex]
[tex]\sqrt[3]{(2\times 2^3)(x^3\times x^2)y^3z}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]\sqrt[3]{(2^3x^3y^3)(2x^2z)}[/tex]
[tex]\sqrt[3]{(2xy)^3}\sqrt[3]{2x^2z}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]
[tex]2xy\sqrt[3]{2x^2z}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
It can be written as exponent form.
[tex]2xy(2x^2z)^{\frac{1}{3}}[/tex] [tex][\because \sqrt[n]{a}=a^{\frac{1}{n}}][/tex]
Therefore, the required expressions are [tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].