Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )
8x = 4 + 2x ( subtract 2x from both sides )
6x = 4 ( divide both sides by 6 )
x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
find the profit on 6000 for one year at 4% per annum
Answer:
240 dollars.
Step-by-step explanation:
I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:
[tex]6000 \cdot (1 + 4%) - 6000[/tex]
[tex]= 6240 - 6000[/tex]
[tex]= 240[/tex] dollars
Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.
Hope this helped!
Answer:
$240
Step-by-step explanation:
4% of $6000 = $240
What is the value of b2 - 4ac for the following equation? 2x2 - 2x - 1 = 0 -4 12 0
Answer:
I think you mean the equation is
[tex]2 {x}^{2} - 2x - 1 = 0[/tex]
And you must find
[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]
Josie is purchasing a $75 appliance for her kitchen. She has three coupons to the store that she can choose from. Which is a true statement about Josie’s options?
Answer:
where are the answer choices?
Step-by-step explanation:
3, 6, 9, 12, 15,
Tlie common difference " is
Answer:
The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.
What is the equation of the following line written in slope-Intercept form?
Answer:
Step-by-step explanation:
(-5,-1) & (-2, -3)
[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]
m= -2/3 ; (-5,-1)
[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]
if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
help please asap just the answers
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
[tex]a\:=\:2[/tex], [tex]b\:=\:-1[/tex] and [tex]c\:=\:-3[/tex]
7) [tex]3 {a}^{2} - b[/tex]
Plugging in the values of [tex]a[/tex] and [tex]b[/tex], we have
[tex] = 3( {2})^{2} - ( - 1)[/tex]
[tex] = 3(2 \times 2) + 1[/tex]
[tex] = 3 \times 4 + 1[/tex]
[tex] = 12 + 1[/tex]
[tex] = 13[/tex]
Hence, [tex]\boxed{ c. \:13 }[/tex] is the correct option.
8) [tex] {a}^{3} {b}^{3} - abc[/tex]
Plugging in the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex], we have
[tex] = ({2})^{3} ( { - 1})^{3} - 2( - 1)( - 3)[/tex]
[tex] = (2 \times 2 \times 2)( - 1 \times - 1 \times - 1) - 2(3)[/tex]
[tex] = (8)( - 1) - 6[/tex]
[tex] = - 8 - 6[/tex]
[tex] = - 14[/tex]
Hence, [tex]\boxed{ d.\:-14 }[/tex] is the correct option.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
Write an equation of a line through the point (2, -1) parallel to y = 4x - 3.
Answer:
y = 4x - 9
Step-by-step explanation:
y = 4x + b
-1 = 4(2) + b
-1 = 8 + b
-9 = b
Put these numbers in order from least to greatest.
3/4,0.6, and 0.7
Answer:
O.6, 0.7, 3/4 (0.75)
Worth 10 points please help me
Answer:
(2,1)
Step-by-step explanation:
one half of (4,2) would be (2,1)
easy math, just a little tricky logic
how much should your mom set aside and invest in a fund earning 3% compounded quarterly is she needs 85,000.00 in 20 months
Answer:
PV= $73,201.14
Step-by-step explanation:
Giving the following information:
Future value (FV)= $85,000
Number of periods (n)= 20 months
Interest rate (i)= 0.03/4= 0.0075
To calculate the lump-sum required to reach the objective, we need to use the following formula:
PV= FV / (1 + i)^n
PV= 85,000 / (1.0075^20)
PV= $73,201.14
HELP PLEASEEEEE!!!!!!!
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
the annual premium for a Whole Life insurance police is $2,881.61. Option A.
How do we calculate the annual premium for a Whole Life insurance police?For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.
The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.
Annual premium = $162,253/ 1000 x 17.76
= $2,881.61
The above exercises is from the question provided in the picture;
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Permanent Insurance
Age Whole Life 20-Payment Life 20-Year Endowment
M F M F M F
25 $16.38 $14.38 $28.40 $25.04 $37.02 $34.87
26 $16.91 $14.77 29.11 25.96 37.67 35.30
27 $17.27 15.23 29.97 26.83 38.23 35.96
28 17.76 15.66 30.68 27.54 38.96 36.44
a. $2,881.61
c. $6,321.38
b. $4,977.92
d. $6,438.20
Find more useful exercises on calculating annual premium;
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John invests $250 at 15% interest compounded monthly. How much will he have in 20 years?
Answer:
$4928.87
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compound ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 250
r = 15% = 0.15
n = 12
t = 20
Step 2: Solve
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{12 \cdot 20}[/tex][Exponents] Multiply: [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{240}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 250(1 + 0.0125)^{240}[/tex](Parenthesis) Add: [tex]\displaystyle A = 250(1.0125)^{240}[/tex]Evaluate exponents: [tex]\displaystyle A = 250(19.7155)[/tex]Multiply: [tex]\displaystyle A = 4928.87[/tex]Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9
I need help with this plz
Answer:
[tex]x^{15}[/tex]
Step-by-step explanation:
Distribute the ^3 on top
(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])
distribute the ^ -9 on bottom, only to what is in the parenthesis
(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])
the 27's cross out, the [tex]y^{-9}[/tex] 's cross out
[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left
move the [tex]x^{-9}[/tex] to the top of fraction to change its sign
[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]
Can someone help me out with this at all?
Answer:
1 maps to 1
2 maps to 3
3 maps to 2
Step-by-step explanation:
the correctly assigned answer options describe everything.
there is not much else to say and explain.
these are all true statements due to the symmetry principle of a circle.
when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.
and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.
SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.
Answer:
D
Step-by-step explanation:
Given y varies directly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then
[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )
[tex]\frac{2}{3}[/tex] = k
y = [tex]\frac{2}{3}[/tex] xz ← equation of variation
When x = 6 and z = 3 , then
y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Answer:
the answer to this question is
d.)y=⅔xz;y(6,3)=12
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again! (Pls help Asap!)
Answer:
his dad was cutting the grass for 1 hour and 4 minutes i hope this helps
Step-by-step explanation:
What is the surface area of LMNOPQRS? If necessary, round your answer to the nearest tenth.
Answer:
5
Step-by-step explanation:
on a saturday morning, owen earned 27 dollars. by the end of the afternoon, owen earned a total of 62 dollars. enter an equation, using x as your variable, to determine whether owen earned 35 or 33 on saturday afternoon.
Answer:
its 36 dollars
Step-by-step explanation:
27 + x = 62
x = 62 - 27
x = 36
Condense the expression into a
single logarithm and simplify.
2log10x + + log105
Answer:
log10( 5x^2)
Step-by-step explanation:
2 log10 (x) + log10 (5)
we know that c loga (b) = log a (b^c)
log10 x^2 + log10 (5)
We also know that logc a + logc b = logc (ab)
log10 (x^2* 5)
log10( 5x^2)
Can someone helpppppppp
Answer:
f(-2) = -3
Step-by-step explanation:
When x = -2 we want the value of y
We use the closed circle value ( open circle does not have a value)
f(-2) = -3
Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.
Answer:
b + s = 14
5b + 10s = 80
Step-by-step explanation:
Answer:
b + s = 14
$5b + $10s = $80
Step-by-step explanation:
the sum of boogie board and surfboard rented is 14
boogie board rented + surfboard rented = 14
b + s = 14 equation 1
total income derived from renting the two types of boards is $80
total income derived = total income derived from renting boogie boards + total income derived from renting surfboards
total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented
= $5 x b = 5b
total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented
= $10 x s = 10s
80 = 5b + 10s equation 2
30 members of a local gym were randomly selected to answer a survey. The selected gym members were between the ages of 50 and 65. Does that mean that all of the gym members are between the ages of 50 and 65?
Answer:
no
Step-by-step explanation:
no, only the selected were from that ages that doesnt mean they are ALL in that age range
Not all the members who are randomly selected, are between the ages of 50 and 65.
What is the procedure of random selection?"Random Selection is a procedure of collecting a sample for a particular experiment in a truly random way."
30 members of a local gym were randomly selected to answer a survey.
The selected gym members were between the ages of 50 and 65.
Therefore, not all the members are between the ages of 50 and 65.
Only those 30 members who are selected randomly, fall in the age group of 50 and 65.
Learn more about random selection here: https://brainly.com/question/18800400
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please hurry i want the answer of this question please
B
Please mark me as a brainlist
Answer:
900
Step-by-step explanation:
3²×5 = 45
3×2²×5² = 300
LCM = 900
Hope this helps... pls vote as brainliest
Which inequality can be used to explain why these
three segments cannot be used to construct a triangle?
Answer:
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)
Answer:
Hay 56 venados en el grupo.
Step-by-step explanation:
En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:
"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"
[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]
[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]
[tex]\frac{7\cdot x}{4} = 99[/tex]
Donde [tex]x[/tex] es el número de venados.
[tex]x = 56.571[/tex]
Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:
[tex]x = 56[/tex]
Hay 56 venados en el grupo.