Answers
All answer choices are equivalent
All the expressions given in option is equivalent to the expression
([tex]10^{t^{2}+2t-3 }[/tex])
What is an expression?An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.
Given is an expression, ([tex]10^{t^{2}+2t-3 }[/tex])
We know, when equal base get multiplied with different powers, the power get added and in case of division they get subtracted,
([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex]
[tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex]
When we factorize, t²+2t-3, we get,
t²+2t-3 = (t+3)(t-1)
Therefore, ([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex] = [tex]10^{(t+3)(t-1)}[/tex]
Hence, we can say that, All the expressions given in option is equivalent to the expression ([tex]10^{t^{2}+2t-3 }[/tex])
For more references on expression, click;
https://brainly.com/question/14083225
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Related Questions
Rowena and Arlene are going to make a triangular path in her garden. The sides will be 20 feet, 36 feet, and 18 feet. What is the total length of the path? Answer the questions that follow using AGONSA.
Answers
Answer: 74feet
Step-by-step explanation:
In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.
It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:
= 20ft + 36ft + 18ft
= 74ft
The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Rowena and Arlene are going to make a triangular path in her garden.
The sides will be 20 feet, 36 feet, and 18 feet.
The length of the path is given by the perimeter of the triangle. Then we have
Length of path = 20 + 36 + 18
Length of path = 74 ft.
More about the triangle link is given below.
https://brainly.com/question/25813512
Construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The whole will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide. The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per cubic foot. What is the least number of truckloads needed to remove all of the soil ?
Answers
Answer:
5
Step-by-step explanation:
helphelphelphelphelphelphelphelphelphelphelp
Answers
0.07
Explanation:
The number of sophmores is 2+25+3 = 30.
Of these sophmores, 2 drive to school.
So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.
12(x-2) + 3x = 1/3(x+12) + 10x step by step solve plz
Answers
Answer:
[tex]12(x - 2) + 3x = \frac{1}{3} (x + 12) + 10x \\ 12x - 24 + 3x = \frac{x}{3} + \frac{12}{3} + 10x \\ 12x - 24 + 3x = \frac{x}{3} + 4 + 10x \\ 12x + 3x - \frac{x}{3} - 10x = 4 + 24 \\ 5x - \frac{x}{3} = 28 \\ \frac{15x - x}{3} = 28 \\ \frac{14x}{3} = 28 \\ 14x = 28 \times 3 \\ 14x = 84 \\ x = \frac{84}{14} \\ x = 6[/tex]
Good luck .
Is it possible to boost your math average of 6-7 percent in a week of homework and participating.
Answers
yes just do everything and study and u'll do fine :)
What is the 18th term of the arithmetic
sequence 2,-2.-6.-10....?
F-72
H -68
WG -70
J -66
Answers
Answer:
J
-66
Step-by-step explanation:
a1 = 2
n = 18
d = - 4
a18 = a1 + (n - 1) * d
a18 = 2 + (18 - 1)*(-4)
a18 = 2 + 17*-4
a18 = 2 - 68
a18 = -66
Emmet has already baked 2 pies, and he can bake 2 pies with each additional cup of sugar he buys. How many additional cups of sugar does Emmet need in order to bake a total of 40 pies?
Answers
Answer:
19
Step-by-step explanation:
He can make 2 pies with one cup of sugar so he can make 40 pies with 20 cups of sugar. He already used a cup of sugar so the total is 19 (20-1)
Compare. Use <, >, and =.
[-8_______7]
pls help urgent
Answers
Answer:
-8<7
Step-by-step explanation:
if you did at the number line you'll see that the -8 is at the left
and as you go the left number decreases
as you go to the right number increases
Can someone PLEASE help me with this? I will give brainliest
Answers
Answer:
The area is about 25/2 inches^2
Step-by-step explanation:
You are given an isoceles triangle; the sides equal to each other are radiuses of the circle G. They are both 5 inches in length.
The angle between the two equal sides is equal to 88 degrees.
To find the height of the triangle, draw a line perpendicular to GH and solve for the lengths of the sides.
sin(88) = x/5
5sin88 is about 5 it is (4.99695)
Multiply the side length GH (5) and the solved height and divide by two;
The area is about 25/2 inches^2
HELP FAST PLEASEEEEE
Answers
Answer:
The third one
Step-by-step explanation:
Answer:
4 I think, Im not 100 percent sure.
Sarita deposits $1,00 in an account paying 3.4% annual interest compounded continuously. Use the formula to continuous compounded interest, A=Pe rt , where p is the principal, r is the annual interest rate, and t is the time in years.
A. What is the balance in Sarita's account after 5 years?
B.How long will it take the balance in Sarita's account to reach $2,000
Answers
Answer:
Step-by-step explanation:
a : 1,000
b : 350
Ali bought his mom 2 dozen (24) of roses. 1/3 of them are red and the rest are pink. How many are pink
Answers
Answer:
there are 16 pink roses
Step-by-step explanation:
Number of pink roses = fraction of pink roses x total number of roses bought
fraction of pink roses = 1 - fraction of red roses
1 - 1/3
= 3/3 - 1/3 = 2/3
Number of pink roses = 2/3 x 24 = 16
HELP AGAIN PLEASE THANK YOU
Answers
Answer:
A. 10/11
Step-by-step explanation:
[tex]A. \: 10 \sqrt{11} [/tex] ✅
Step-by-step explanation:
[tex]( \sqrt{22} )(5 \sqrt{2} ) \\ = 5 \sqrt{22 \times 2} \\ = 5 \sqrt{2 \times 2 \times 11} \\ = 5 \sqrt{ {2}^{2} \times 11 } \\ = 5 \times 2 \sqrt{11} \\ = 10 \sqrt{11} [/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
a fish tank has a height of 30 inches, length of 20 inches, and a width of w 25 inches. how many cubic inches will the tank hold when half full
Answers
Answer:
Here is your answer!
Step-by-step explanation:
what is x-7=1 simplified?
Answers
Answer:
x = 8
Step-by-step explanation:
x-7=1
Add 7 to each side
x-7+7 = 1+7
x = 8
Answer:
x= 8
Step-by-step explanation:
collect like terms
x= 7+1
x= 8
Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that
is 10 cm by 10 cm.
How many times as toll is the box with the smaller base?
times as tall
Can somebody please help me out this test is due tomorrow and this is hard
Answers
4 times as tall
hope this help:))
Answer:
4 times
Step-by-step explanation:
Hope this helps!
please help me with full calculation
Answers
9514 1404 393
Answer:
a. 12
b. 15
c. (2, -2.5)
Step-by-step explanation:
a. The points lie on a horizontal line, so the distance between them is the difference of their x-coordinates: 4 -(-8) = 12 units.
__
b. The length BD is the diagonal of the rectangle. Its length is given by the distance formula as ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((-8 -4)^2 +(-7 -2)^2) = √((-12)^2 +(-9)^2) = √(144 +81) = √225
d = 15
The distance between B and D is 15 units.
__
c. The midpoints of AC and BD are the same:
(A +C)/2 = ((-8, 2) +(4, -7))/2 = (4, -5)/2 = (2, -2.5)
(B +D)/2 = ((4, 2) +(-8, -7))/2 = (4, -5)/2 = (2, -2.5)
Point (2, -2.5) can be used to locate the lake.
28 - f =30.5 What is the value of f
Answers
Answer:
-2.5
Step-by-step explanation:
28 - f = 30.5
-f = 30.5-28
-f=2.5
f=-2.5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{28 - f =30.5}[/tex]
[tex]\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}[/tex]
[tex]\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}[/tex]
[tex]\mathsf{-f + 28 - 28 = 30.5 - 28}[/tex]
[tex]\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}[/tex]
[tex]\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}[/tex]
[tex]\mathsf{30.5-28=\bf 2.5}[/tex]
[tex]\rm{New\ EQUATION: -f = 2.5}[/tex]
[tex]\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }[/tex]
[tex]\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}[/tex]
[tex]\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}[/tex]
[tex]\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}[/tex]
[tex]\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}[/tex]
[tex]\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow[/tex]
[tex]\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLSSS HELP!!! THIS IS MY LAST QUESTION!
Nicolette decided to see what the class could earn from each activity in the same number of weeks. she decided to see how much they could earn in weeks.
a. Why do you think Nicolette chose 12 weeks?
b. how much could they earn from each activity in 12 weeks
d. how can this help Nicolette decide which way will earn more money.
Answers
Answer:
D seems most credible .
Hopefully this helped
No links please! And I need this math answer quick
Answers
Answer:
2r-3(r+7)-8r=10(r-1)
2r-3r-21-8r=10r-10
-9r-10r=-10+21
-19r=11
-19/11=r
Step-by-step explanation:
What is m<1?
A. 21°
B. 23°
C. 24°
Answers
Hi there!
[tex]\large\boxed{\text{B. }23^o}[/tex]
According to a circle theorem:
m∠1 = 1/2(a - b) where a and b are angles.
Thus:
m∠1 = 1/2(94 - 48)
Simplify:
m∠1 = 1/2(46) = 23°. The answer is B.
An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day were increased to 25. How many pears were sold on Saturday and Sunday?
Answers
Answer:
5 pears
Step-by-step explanation:
Given that
The average of 20 pears were sold from Monday to Friday
But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25
We need to determine the number of pears sold on Saturday and sunday
So, it is
= 25 pears - 20 pears
= 5 pears
Please help me please and thank you
Answers
Answer:
f(x)= x^2 - 2, the one in red.
Step-by-step explanation:
To move a quadratic function up/down, you change the value at the very end of the formula.
So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.
HELP I NEED TO GRADUATE
Answers
Answer:
Step-by-step explanation:
17/20 x 2/3
Then 17/10 x 1/3 = 17/30
hey! i’ll give brainliest please help
Answers
Answer:
Subject
Step-by-step explanation:
Have a good day :)
Question 44.
What is the value of the expression 6 (A) -5 when A=3
Answers
Answer:
13
Step-by-step explanation:
6(A)-5
Sub 3 into A
6(3)-5
Multiply 3 by 6
18 - 5
=13
Answer:
6(3)-5
18-5
=13
Step-by-step explanation:
Geometry/// find the surface area of the square pyramid if the height of each triangular face is 20 m and the length of each side of the base is 19 m
Answers
Answer:
1202.38
Step-by-step explanation:
i looked how how do it and a calculator popped up so i put the numbers in that's what i got
La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades
para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de
padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones
de ahorro:
Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.
Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.
Ayuda a los padres de familia de la promoción a elegir la mejor opción.
ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu
Answers
Answer:
Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.
Step-by-step explanation:
El monto recaudado por la escuela secundaria = S / 24,000
Las opciones que tienen los padres para depositar el dinero son;
Opción 1:
El interés simple del depósito = 10%
El número de veces que se aplica el interés anualmente = Trimestral
El número de años para el depósito = 2 años
opcion 2
La tasa de interés del depósito, r = 18% de interés simple.
El número de veces que se aplica el interés = Semestralmente
La cantidad de años que se ahorrará la cantidad = 2 años
Opción 1
Observamos que para el interés simple no hay interés ganado sobre el interés anterior.
Por lo tanto;
Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;
Yo = P × R × T / (100)
∴ I₁ = 24.000 × 40 × 2/100 = 19.200
El interés después de 2 años en la opción 1, I₁ = S /. 19.200
opcion 2
Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;
Yo = P × R × T / (100)
∴ I₂ = 24.000 × 36 × 2/100 = 17.280
El interés después de 2 años en la opción 2, I₂ = S /. 17.280
Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE
Answers
Answer:
hiii
zom I'd 213 088 8336
p 0
come for s
Answer:
113 degree
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.
2.
Which inequality statement best represents the graph?
A. f(x) ≥ 2x2 + 4x
B. f(x) ≤ –2x2 + 4x
C. f(x) ≤ 2x2 + 4x
D. f(x) ≥ –2x2 + 4x
Answers
Answer:
The answer is A. f(x) ≥ 2x2 + 4x or C. f(x) ≤ 2x2 + 4x
Step-by-step explanation:
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( 1 , 2 )
Focus:
( 1 , 15 /8 )
Axis of Symmetry:
x
=
1
Directrix:
y
=
17
8
x
y
−
1
−
6
0
0
1
2
2
0
3
−
6
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( 1 , 2 )
Focus:
( 1 , 15 /8 )
Axis of Symmetry:
x
=
1
Directrix:
y
=
17
8
x
y
−
1
−
6
0
0
1
2
2
0
3
−
6