Answer:
Step-by-step explanation:
The 15 cm by 15 cm piece of cardboard area = 225 cm².
A cube has six congruent faces. If each edge is 5 cm, the surface area is 6×5² = 150 cm². So there is enough cardboard to make a cube, but not by folding. You'd have to do some cutting and taping.
solve the following equations;-
x - 9 /√x + 3 =1
Answer:
13 , 6.
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation to us is ,
[tex]\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1 [/tex]
Cross multiply ,
[tex]\sf\implies x - 9 =\sqrt{ x +3} [/tex]
Squaring both sides ,
[tex]\sf\implies (x - 9)^2 = x + 3 [/tex]
Simplify the whole square ,
[tex]\sf\implies x^2+9^2-2.9.x = x +3 \\ [/tex]
[tex]\sf\implies x^2+81 - 18x = x -3[/tex]
Add 3 and subtract x on both sides ,
[tex]\sf\implies x^2 -18x-x +81-3=0[/tex]
Simplify ,
[tex]\sf\implies x^2 -19x +78=0 [/tex]
Split the middle term of the quadratic equation,
[tex]\sf\implies x^2-13x-6x+78=0 [/tex]
Take out common ,
[tex]\sf\implies x( x -13)-6(x-13)=0[/tex]
Take out ( x -13 ) as common ,
[tex]\sf\implies ( x -13)(x-6)=0 [/tex]
Equate both factors to 0 ,
[tex]\sf\implies \boxed{\pink{\sf x = 13,6}}[/tex]
Hence the value of x is 13 or 6 .
Find a33 of the arithmetic sequence given a1=17 and d=6.
Answer:
209
Step-by-step explanation:
Given the following:
[tex]a_{1} = 17\\d=6[/tex]
The nth term of an arithmetic sequence is expressed as:
[tex]a +(n-1)d[/tex]
a is the first term = 17
d is the common difference =6
Get the 33rd term:
[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]
Hence the 33rd term is 209
1728/6 Use the space below to enter the letters corresponding to the Limit Laws that you used to find this limit: Limit Laws A. Quotient Law B. Power Law C. Sum Law D. Product Law E. Constant Multiple Law F. Root Law G. Difference Law Answer:
Answer:
B. Power Law
C. Sum Law
G. Difference Law
Step-by-step explanation:
Power law determines functional relationship between two quantities. When there is change in one quantity, this will result in proportional relative change in another quantity. Sum law of limit determines the limit of sum of two functions. Difference law of limits is a constant times a function is equal to the limit of that function.
URGENT!!!!!!! HELP PLEASE!!!!!!
Answer:
[tex]x^\frac{2}{3}[/tex]
Step-by-step explanation:
Using the power of power rule (multiply the exponents)
[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex] [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]
[tex]x^\frac{4}{9}[/tex] [tex]x^\frac{2}{9}[/tex]
When exponents are multiplied, add the answers:
x ^ ( 4/9 + 2/9 )
x ^ ( 6/9 )
x ^ ( 2/3 )
What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?
Answer:
$785.17
Step-by-step explanation:
Given data
PV is the loan amount
PMT is the monthly payment
i is the interest rate per month in decimal form (interest rate percentage divided by 12)
n is the number of months (term of the loan in months)
PMT =$700
n = 10 years
i = 0.89%
The formula for the loan amount is
Pleaseee hellllpppp!!!!
Answer:
I hope option D is write
I hope you help
Answer:
B. 32°
Step-by-step explanation:
The reference angle for 212°
=212°-180°
=32°
Hope it is helpful to you
If 3 litres of paint is mixed five parts water to one part concentrate, how much concentrate was used?
Answer:
1/2 Liter was concentrate. 2 1/2 L was water.
Step-by-step explanation:
Let the amount of concentrate = x
5x + x = 3 Combine the left
6x = 3 Divide by 6
x = 3/6
x = 1/2
Help me solve this please:) I’ll give you brainliest
Step-by-step explanation:
Given:
[tex]\vec{a} = 5\hat{\textbf{i}} + 4\hat{\textbf{j}}[/tex]
[tex]\vec{b} = 5\hat{\textbf{i}} - 5\hat{\textbf{j}}[/tex]
Then
[tex]2\vec{a} = 2(5\hat{\textbf{i}} + 4\hat{\textbf{j}})[/tex]
[tex]\:\:\:\:\:\:= 10\hat{\textbf{i}} + 8\hat{\textbf{j}}[/tex]
[tex]3\vec{b} = 3(5\hat{\textbf{i}} - 5\hat{\textbf{j}})[/tex]
[tex]\:\:\:\:\:\:= 15\hat{\textbf{i}} - 15\hat{\textbf{j}}[/tex]
Therefore,
[tex]2\vec{a} - 3\vec{b} = (10 - 15)\hat{\textbf{i}} + (8 - (-15))\hat{\textbf{j}}[/tex]
[tex]= -5\hat{\textbf{i}} + 23\hat{\textbf{j}}[/tex]
To find the magnitude,
[tex]|2\vec{a} - 3\vec{b}| = \sqrt{(-5)^2 + (23)^2}= 23.54[/tex]
a carpet is laid on a rectangular floor which measures 4meters by 5meters. if the carpet covers 60% of the floor find the area of the carpet
Answer:
12 m²
Step-by-step explanation:
Area of the floor:
area = length * width
area = 4 m * 5 m
area = 20 m²
area of carpet = 60% of area of the floor
area of carpet = 0.6 * 20 m²
area of carpet = 12 m²
what is 6 cm and 7 mm converted to
Answer:
converted to what?
Step-by-step explanation:
At the end of a year, the gross debt of a country stood at about $15 trillion. Express this amount in dollars per person, assuming that the population of the country is about 309 million.
The gross debt is about $nothing per person.
Answer:
The country's debt is $ 48,543.68 per person.
Step-by-step explanation:
Given that at the end of a year, the gross debt of a country stood at about $ 15 trillion, to determine this amount in dollars per person, assuming that the population of the country is about 309 million, the following calculation must be done:
15 trillion = 15,000,000,000,000
15,000,000,000,000 / 309,000,000 = X
15,000,000 / 309 = X
48,543.68 = X
Therefore, the country's debt is $ 48,543.68 per person.
What is the product?
(x^4)3x^3-2)(4x^2 +5x)?
Answer:
[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]
Answer:
[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]
[tex](3x^{3} -2)(4x^{2} +5x)[/tex]
[tex]12x^5+15x^4-8x^2-10x[/tex]
[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]
[tex]=12x^9+15x^8-8x^6-10x^5[/tex]
Therefore, A is your answer
~~OAmalOHopeO
In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5
Answer:
2
y = -0.5x + 10.5
Step-by-step explanation:
put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular
2
y = -0.5x + 10.5
(6 + 8) (3 - 2) = help plz
Answer:
Step-by-step explanation:
(6+8i)(3-2i)
use FOIL
18 - 12i + 24i - (16[tex]i^{2}[/tex])
18 + 12i - (-16)
18 + 12i + 16
34 + 12i
Find the value of t for at distribution with 40 degrees of freedom such that the area between-1 and equals 99 %. Round your answer to three decimal places, if nescarry
Answer:
The value is [tex]t = 2.705[/tex].
Step-by-step explanation:
In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.
99% confidence level:
We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.
The value is [tex]t = 2.705[/tex].
According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
Answer:
(x-2), (x+2), (3x-5)
Step-by-step explanation:
Factors of 3: ±1, ±3
Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20
Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)
Pick a number to divide the polynomial by (I picked 2)
(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10
So (x-2) is a factor of f(x) = 3x³-5x²-12x+20
Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20
2) Consider the quadratic sequence 72, 100, 120, 132
2.1.1) Determine Tn the nth term of the quadratic.
Answer:
Tn = -4n²+40n+36
Step-by-step explanation:
A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.
So, when n = 1, Tn = 72, which means T1 = a+b+c=72.
when n = 2, Tn = 100, which means T2= 4a+2b+c = 100
when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.
Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.
Hence, you a, b, and c in the Tn equation given above.
Therefore, Tn = -4n²+40n+36
I need help ASAP with question anyone?
Answer:
Option D
Answered by GAUTHMATH
Answer:
D.
Step-by-step explanation:
The asymptotes are at x = 1 and x = -4.
The denominator of option D is not defined for x = 1 and x = -4 since those two values cause a zero in the denominator.
Answer: D.
Which expressions are equivalent to -6n+(-12)+4n
Choose all answers that apply:
A. 4(n-3) -6n
B. 2(2n-6)
C. None of the above
Answer:
i THINK its A. 4(n-3) -6n
Step-by-step explanation:
Have a wonderful day!!
Which of the following statements is likely to be true?
a) The median personal income of California taxpayers would probably be near the mean.
b) For personal incomes in California, outliers in either tail would be equally likely.
c) The interquartile range offers a measure of income inequality among California residents.
d) For income, the sum of squared deviations about the mean is negative about half the time.
Answer:
c. The interquartile range offers a measure of income inequality among California residents.
Step-by-step explanation:
The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.
There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probability that there will be a large screen TV in:
Answer: You left out half the question so
Step-by-step explanation:
if you're looking for chance of x houses having a tv, then .6^x is your formula,
if you're looking for chance of x houses not having a tv, then .4^x will find it
Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.
HELPPP PLEASE. So I have figured out the first one however I cannot seem to figure out the rest as my answers are wrong. How do solve this problem? Please help!
Answer:
it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65
If the odds a horse will win the Kentucky Derby is 3:2, what is the probability the
horse will win?
Answer:
=3/(3+2) × 100
=60
Step-by-step explanation:
=3/(3+2) × 100
=60
What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
1
–1
i
–i
Answer:
B. -1 should be the answer
Step-by-step explanation:
A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor
The car will run 60 miles on 2 gallons of gas.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.
The run of the car will be calculated as,
1 gallon = 30 miles
2 gallons = 30 x 2 miles
2 gallons = 60 miles
Therefore, the car will run 60 miles on 2 gallons of gas.
To know more about an expression follow
https://brainly.com/question/13363911
#SPJ2
Every decimeter on a map represents 11.5 kilometers of actual distance. On this map,
specific points M and N are exactly 235 decimeters apart. Therefore, points M and N are
actually how many kilometers apart? Write your answer as a mixed fraction.
Given:
Scale factor of map is:
1 decimeter = 11.5 kilometers
The distance between M and N on the map is 235 decimeters.
To find:
The Actual distance between M and N.
Solution:
Scale factor of map is:
1 decimeter = 11.5 kilometers
Using this scale factor, we get
235 decimeter = 235 × 11.5 kilometers
235 decimeter = 2702.5 kilometers
235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers
Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.
Harrison Water Sports has three retail outlets: Seattle, Portland, and Phoenix. The Seattle store does 50 percent of the total sales in a year, while the Portland store does 35 percent of the total sales. Further analysis indicates that of the sales in Seattle, 20 percent are in boat accessories. The percentage of boat accessories at the Portland store is 30 and the percentage at the Phoenix store is 25. Overall, the probability that a sale by Harrison Water Sports will be for a boat accessory is
Answer:
The correct answer is "0.43".
Step-by-step explanation:
According to the question,
The probability of boat accessories sale,
= 0.3
The probability of sale in Portland store,
= 0.35
now,
The probability that the decision was signed somewhere at Portland shop will be:
= [tex]\frac{P(boat \ acessories \ sale\times P(sale \ in \ Portland \ store)}{P(boat \ accessories \ sale)}[/tex]
By substituting the values, we get
= [tex]\frac{ 0.3\times 0.35}{( 0.2\times 0.5 + 0.3\times 0.35 + 0.25\times 0.15)}[/tex]
= [tex]\frac{0.105}{0.1+0.105+0.0375}[/tex]
= [tex]0.43[/tex]
A meal plan lets students buy $20 meal cards. Each meal card lasts about 8 days. write and graph equation
Step-by-step explanation:
Given that,
A meal plan lets students buy $20 meal cards.
Each meal card lasts about 8 days.
Let us assume that y denotes number of days for a 20 dollar meal card i.e. $20 every 8 days.
Let x = number of $ for another day.
So,
[tex]y=\dfrac{8}{20}x+8[/tex]
[tex]y=\dfrac{2}{5}x+8[/tex]
Hence, this is the required equation.
In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack or a queen and $5 for drawing a king or an ace. A person who draws any other card pays $2. If a person plays this game, what is the expected gain
Answer:
[tex]E.G=\$2[/tex]
Step-by-step explanation:
Sample size 52 card
Pay for J or Q [tex]=\$17[/tex]
Pay for King or Ace [tex]=\$5[/tex]
Pay for others [tex]=-\$2[/tex]
Therefore
Probability of drawing J or Q
[tex]P(J&Q)=\frac{8}{52}[/tex]
Probability or drawing King or Ace
[tex]P(K or A)=\frac{8}{52}[/tex]
Probability or drawing Other cards
[tex]P(O)=\frac{36}{52}[/tex]
Therefore
Expected Gain is mathematically given as
[tex]E.G=\sum_xP(x)[/tex]
[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]
[tex]E.G=\$2[/tex]
please help me please help me
Answer:
largest 4 digit number × largest 3 digit number
=9999 × 999
(10000-1)×(1000-1) = (a-b)(c-b)= ac-ab-bc+b^2
10000000-10000-1000+1 = 9989001
