Answer:
f(b) = ab+ b
Step-by-step explanation:
Given f(x) = ax + b
To find f(b) plug b in for x.
f(b) = ab + b
How many distinct products can be formed using two different integers from the given set: {–6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5}?
Number of distinct products that can be formed is 144
PermutationSince we need to multiply two different integers to be selected from the set which contains a total of 12 integers. This is a permutation problem since we require distinct integers.
Now, for the first integer to be selected for the product, since we have 12 integers, it is to be arranged in 1 way. So, the permutation is ¹²P₁ = 12
For the second integer, we also have 12 integers to choose from to be arranged in 1 way. So, the permutation is ¹²P₁ = 12.
Number of distinct products
So, the number of distinct products that can be formed from these two integers are ¹²P₁ × ¹²P₁ = 12 × 12 = 144
So, the number of distinct products that can be formed is 144
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1/10 by 5.08 how do I work this out in simplest form
Answer:
10x5.08
Step-by-step explanation:
Rick put his $200 into a simple interest account at 3.25% interest. Julian put his $200 into a compound interest account that gives 3% interest compounded annually. The table below shows their yearly balance after interest has been applied.
Balance
Rick
Julian
deposit
200
200
Year 1
206.50
206.00
Year 2
213.00
212.18
Year 3
219.50
218.55
Year 4
226.00
225.11
Year 5
232.50
231.85
Year 6
239.00
238.81
Year 7
245.50
245.97
Year 8
252.00
253.35
Year 9
258.50
260.95
Year 10
265.00
268.78
Which statements are true about their balances? Check all that apply.
After 10 years, Rick has a larger balance than Julian.
Julian accumulated $3.78 more in interest after 10 years.
Julian’s bank pays greater interest if he keeps his money in the bank for more than seven years.
Julian’s balance increases by the same amount each year.
Julian’s bank pays greater interest if he keeps his money in the bank for less than seven years.
Rick’s balance increases by the same amount each year.
After five years, Rick has a larger balance than Julian.
Julian accumulated $0.65 more interest after five years.
Answer: 2,3,6,7
Step-by-step explanation: I took the test
The statements are true about their balances, is 2,3,6,7 are the correct statement about Rick and Julian balance.
We have given that, Rick put his $200 into a simple interest account at 3.25% interest.
Julian put his $200 into a compound interest account that gives 3% interest compounded annually.
The table below shows their yearly balance after interest has been applied.
What is the balance?The Balance makes personal finance easy to understand. It is home to experts who provide clear, practical advice on managing your money.
Balance Rick Julian
deposit 200 200
Year 1 206.50 206.00
Year 2 213.00 212.18
Year 3 219.50 218.55
Year 4 226.00 225.11
Year 5 232.50 231.85
Year 6 239.00 238.81
Year 7 245.50 245.97
Year 8 252.00 253.35
Year 9 258.50 260.95
Year 10 265.00 268.78
We have to determine Which statements are true about their balances.
Statement 2,3,6,7 are true statements about their balances.
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Calculate the slope between the points: (4, -3) and (4,7) *
m = 0.5
m = undefined slope
m = -1.25
m = 0
Answer:
m=undefined
Step-by-step explanation:
(x1,y1)=(4,−3)
(x2,y2)=(4,7)
m=y2−y1/x2−x1
=7−−3/4−4
=10/0
=1/0
=undefined
i will give brainliest
Answer: -3
Step-by-step explanation:
f (x) = (x+5)3(x - 9)(x + 1) total roots
the roots are - 5 ; 9 and - 1
1. The Tigers have won 12 out of 15 hockey games. If
they play 5 more games, would you expect them to win 4? Explain your thinking.
You would use the ratio to solve this problem.
12:15=4:5
Since the ratio of expected numbers of games they would win to the total number of games they will play is equal to the ratio of number of games they won to the total number of games they played, the answer would be YES.
THE FOLLOWING ALGEBRAIC EQUATION 3P + 6 = -12 HAS THE RESULT:
Answer:
P = -6
Step-by-step explanation:
Step 1: Write equation
3P + 6 = -12
Step 2: Solve for P
Subtract 6 on both sides: 3P = -18Divide 3 on both sides: P = -6Step 3: Check
Plug in P to verify it's a solution.
3(-6) + 6 = -12
-18 + 6 = -12
-12 = -12
what is the fact family for 1,2,3
Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neighborhood. He spent $18.50 of his total earning to buy a movie ticket and candy. Dan put of the remaining money in his savings account.
Answer:
204.95
Step-by-step explanation:
42.75x4=171
171+52.45=223.45
223.45-18.5=204.95
Step-by-step explanation:
Dan made an error in step 2 he added the 18.50 instead of subtracting. it should be 171+52.45= 223.45 223.45-18.50 = 204.95
Round 2.754 to the nearest whole number
Answer:
3
Step-by-step explanation:
3 because their is a rule which states: 1-4 stay on the floor 5-9 climb up the vine this means if it is 4 or less than round down and if it is 5 or more round up
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 7 days and standard deviation of 1.1 days. Use Onlinestatbook or GeoGebra to find the following probabilities. Write your answers in percent form. Round your percentages to two decimal places.
a) What is the probability of spending less than 7 days in recovery?
[]%
b) What is the probability of spending more than 5 days in recovery?
[]%
c) What is the probability of spending between 5 days and 7 days in recovery?
[]%
Answer:
c po
Step-by-step explanation:
kasi between 5 days and 7 days in recovery
I NEED HELP ASAP.Choose the correct measurement of the pushpin to the nearest 1/8 inch.
A. 7/8 inch
B. 5/8 inch
C. 6/8 inch
D. 3/8 inch
HELP mee please
Answer: 3/8
Step-by-step explanation:
i think it’s 3/8 because I’m also working on this one and it adds up to 3/8 because as you see there is 3 sections. (I’m not good at explaining so I added a photo)
Answer:
3/8
Step-by-step explanation:
me class said so
Choose whether each sum is positive or negative.
–5 + (–2) Positive/Negative
5 + (–2) Positive/Negative
–3 + 4 Positive/Negative
0 + (–3) Positive/Negative
Mr. Smith earned $600 last year. His total deductions amounted to 10%
of his earnings. What was his take-home salary?
Answer:
540
Step-by-step explanation:
10% of 600 is 60, 600-60 is 540
The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Base salary = $600
10% of $600 = (10/100) x 600 = $60
Net salary = $600 - $60 = $540
Hence "The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.".
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10 Over 12 EndFraction divided by StartFraction 4 Over 6 EndFraction. What is the quotient?
Answer:
5/4
Step-by-step explanation:
[tex] \frac{10}{12} \div \frac{4}{6} \\ \\ = \frac{10}{12} \times \frac{6}{4} \\ \\ = \frac{5}{2} \times \frac{1}{2} \\ \\ = \frac{5}{4} [/tex]
how do I know my multiples
One way to make it easier to multiply, pick a number from a multiplication problem. Then, add the amount of times of the other number.
Example:
6 x 8 = ?
8 = Chosen Number
So, add 8, 6 times.
8 + 8 + 8 + 8 + 8 + 8 = ?
? = 48
Which, 6 x 8 does equal 48.
5b. Solve the differential equations using Laplace transforms
y"+y' - 2y = x², y(0) = 0 and y'(0) = 0
Answer:
[tex]y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]
Step-by-step explanation:
[tex]y''+y'-2y=x^2,\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{x^2\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{2}{s^3}\\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{2}{s^3}\\ \\(s^2+s-2)Y(s)=\frac{2}{s^3}\\ \\Y(s)=\frac{2}{s^3(s^2+s-2)}\\ \\Y(s)=\frac{2}{s^3(s+2)(s-1)}[/tex]
Perform the partial fraction decomposition
[tex]\frac{2}{s^3(s+2)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s^3}+\frac{D}{s+2}+\frac{E}{s-1}\\\\2=s^2(s+2)(s-1)A+s(s+2)(s-1)B+(s+2)(s-1)C+s^3(s-1)D+s^3(s+2)E\\\\2=s^{4} A + s^{4} D + s^{4} E + s^{3} A + s^{3} B + 2 s^{3} D - s^{3} E - 2 s^{2} A + s^{2} B + s^{2} C - 2 s B + s C - 2 C\\\\2=s^{4} \left(A + D + E\right) + s^{3} \left(A + B + 2 D - E\right) + s^{2} \left(- 2 A + B + C\right) + s \left(- 2 B + C\right) - 2 C[/tex]
Solve for each constant
[tex]\begin{cases} A + D + E = 0\\A + B + 2 D - E = 0\\- 2 A + B + C = 0\\- 2 B + C = 0\\- 2 C = 2 \end{cases}[/tex]
[tex]-2C=2\\C=-1[/tex]
[tex]-2B+C=0\\-2B+(-1)=0\\-2B-1=0\\-2B=1\\B=-\frac{1}{2}[/tex]
[tex]-2A+B+C=0\\-2A+(-\frac{1}{2})+(-1)=0\\-2A-\frac{1}{2}-1=0\\-2A-\frac{3}{2}=0\\-2A=\frac{3}{2}\\ A=-\frac{3}{4}[/tex]
[tex]A+D+E=0\\-\frac{3}{4}+D+E=0\\D+E=\frac{3}{4}\\D=\frac{3}{4}-E[/tex]
[tex]A+B+2D-E=0\\-\frac{3}{4}+(-\frac{1}{2})+2(\frac{3}{4}-E)-E=0\\-\frac{3}{4}-\frac{1}{2}+\frac{3}{2}-2E-E=0\\-\frac{3}{4}+1-3E=0\\\frac{1}{4}-3E=0\\\frac{1}{4}=3E\\\frac{1}{12}=E[/tex]
[tex]D=\frac{3}{4}-E\\D=\frac{3}{4}-\frac{1}{12}\\D=\frac{9}{12}-\frac{1}{12}\\D=\frac{8}{12}\\D=\frac{2}{3}[/tex]
Take the inverse transform and find the solution to the IVP
[tex]Y(s)=\frac{-\frac{3}{4}}{s}+\frac{-\frac{1}{2}}{s^2}+\frac{-1}{s^3}+\frac{\frac{2}{3}}{s+2}+\frac{\frac{1}{12}}{s-1}\\ \\y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]
in the function f(×)=4-ײ,find f(-3)
Answer:
-5
Step-by-step explanation:
f (x) = 4 - x^2
f (-3)= 4 - (-3)^2
= 4 -(9)
= -5
Answer:
-5
Step-by-step explanation:
f(-3) =4-(-3)^2
=4-9
= -5
Sheldon Cole earns a salary of $150 a week and a commission of 7% on all
sales. If Cole's sales for one week were $6,890, what were his total weekly
earnings?
Answer:
$6,482.30
Step-by-step explanation:
150 x 40 (hours per week) = $6,000
6,890 x .07 = $482.30
6,000 + 482.30 = $6,482.30
Express 500 g as a percentage of 2.5 kg.
Answer:
500 grams is 20 percent of 2.5 kg
Step-by-step explanation:
500*100 = 50,000
50,000/2500=20
500 g is the 20% of 2.5kg.
What is percentage ?
The percentage is a ratio of number as a fraction over 100.
According to the given question
we have to find the percentage of 2.5 kg
since, 500g = [tex]\frac{500}{1000}[/tex] = 0.5kg
The percentage of a quantity x is given by
percentage = [tex]\frac{Q}{value}[/tex]×100
Substitute, Q = 0.5kg and value = 2.5kg in the above formula
⇒ percentage = [tex]\frac{0.5}{2.5}[/tex]× 100 = 20%
Hence, 500g is the 20% 0f 2.5g.
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Help you guys this is due today The diameter of a cylinder is 5 yd. The height is 4 yd. what is the volume of the cylinder?
Answer:
78.54 yd squared
Step-by-step explanation:
3.14(2.5^2)4
3.14(6.25)4
(19.625)4
78.54
Have a great day!!
Please rate and mark brainliest!!!
Circle A has a radius of 6.0 cm. The shortest distance between B and C on the circle is 5.4 cm.
What is the approximate area of the shaded portion of circle A?
16.2 cm²
21.0 cm²
37.7 cm²
113.1 cm²
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}lr[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(5.4)(6)[/tex]
[tex]\\ \sf\longmapsto Area=16.2cm^2[/tex]
Write 24.775 in fractional notation.
Answer:
24.775 / 1 or 24775 / 1000
Step-by-step explanation:
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 24.775, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:
24775/100
PLS SOMEONE HELPD MEEEE
Answer:
C
Step-by-step explanation:
If you put 2 different values in for x and it happens 2 times, the eqyations must be equivilent :)
Have an amazing day!!
Please rate and mark brainliest!
evaluate abcd if a =3,b=-2,c=4,and d=1
Answer:
abcd = -24
Step-by-step explanation:
First, remember that the default operation in algebra is multiplication, so we have to multiply a and b and c and d together to get the answer:
abcd = a × b × c × d
Plugin your values to get the total of:
3 x -2 × 4 × 1 = -24
So the answer to this problem is -24
The area of a rectangular painting is 6600 cm?.
If the width of the painting is 75 cm, what is its length?
Answer:
length = 88 cm
Step-by-step explanation:
Area of a rectangle = width × length
Given:
Area = 6600 cm²width = 75 cmSubstituting these values into the equation:
⇒ 6600 = 75 × length
⇒ length = 6600 ÷ 75 = 88 cm
Length be L
Breadth=B=75[tex]\\ \rm\rightarrowtail area=6600[/tex]
[tex]\\ \rm\rightarrowtail 75L=6600[/tex]
[tex]\\ \rm\rightarrowtail L=6600/75[/tex]
[tex]\\ \rm\rightarrowtail L=88cm[/tex]
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
A. 45 m³
B. 54 m³
C. 69 m³
D. 108 m³
Area of base:-
1/2(6)(4)3(4)12m^2Now
Volume:-
Area of base× Height12(4.5)48+654m^3Answer:
the answer is 54 that person is correct i just took the quiz and got 100% to
Step-by-step explanation:
Need help please please
Answer:
B
Step-by-step explanation:
Reflects over x axis then translates down and left.
The Harlem Globetrotters are known for spinning basketballs on one finger. If the diameter of a basketball is 9.5 inches, what is the surface area of the globetrotters must work with? Round to the nearest tenth.
30 points please show your work thank you so so so much
The surface area of the globetrotters must work with is 283.4 square inches
The surface area of the sphereThe formula for calculating the surface area of a sphere is expressed as:
S = 4πr²
where r is the radius of the sphere
Given that
d = 9.5in
r = 4.75in
Substitute the given parameters into the formula
S = 4π(4.75)²
S = 283.385 square inches
The surface area of the globetrotters must work with is 283.4 square inches
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