Answers
answer:
N(t)=2×[tex]1.7^{t}[/tex]
17
15
step by step explain:
before lesson (t=0), she knows 2 words.
after a week (t=1), she knows
2×(1+70%)=3.4 words
after one more week (t=2), she knows
3.4×(1+70%)=5.78 words
one more week later (t=3), she knows
5.78×(1+70%)=9.826 words
and so on ...
from pattern shown above, we know that she knows
2×[tex]1.7^{t}[/tex] words after t weeks
so N(t)=2×[tex]1.7^{t}[/tex]
after 4 weeks (t=4), she knows 2×[tex]1.7^{4}[/tex]=16.7042≈17 words
for learning 5000 words, she need:
2×[tex]1.7^{t}[/tex]=5000
[tex]1.7^{t}[/tex]=2500
t log(1.7)=log(2500)
t=[tex]\frac{log(2500)}{log(1.7)}[/tex]
=14.7448727
≈15 (round up)
Answer:
(a) N(t) = 2(1.7)^t
(b) 17
(c) 15
Step-by-step explanation:
(a) N(t) = 2(1.7)^t
There is a 2 because she starts with 2 words. The 1.7 is since her vocabulary grows by 70%. Finally, t represents the weeks. (it is an exponent)
(b) Just plug in the equation
N(4) = 2(1.7)^4
N(4) = 2(8.3521)
N(4) = 16.7042
Round, so it is 17
(c) Once again, plug in the equation
5000 = 2(1.7)^t
2500 = (1.7)^t
use a calculator for the part below
log1.7(2500) = log1.7(1.7)*t
t = log1.7(2500)
t = 14.7448
Round, so it is 15
Related Questions
HELP ASAP
Distinguish whether the following expression has like terms and identify them. If it does, separate the like terms from the rest of the terms and organize the expression in a way that you can combine the like terms. Combine the like terms and write the expression in simplest form. Show all of your work.
-3x3z2 + 2xz + 4x3z2 − 2x2z3
Answers
Mrs Roberts makes 'regular' and 'low-sugar' jam.
She sells both kinds of jam in 340-gram jars.
55% of the weight of her 'regular' jam is sugar.
What weight of sugar is there in a 340-gram jar?
Answers
Answer:
187 gram
Step-by-step explanation:
Regular jam = low sugar jam = 340-gram jars
55% of the weight of her 'regular' jam is sugar.
What weight of sugar is there in a 340-gram jar?
Weight of sugar in a 340-gram jar of regular jam = 55% of 340
= 55/100 × 340
= 0.55 × 340
= 187
Weight of sugar in a 340-gram jar of regular jam = 187 gram
49×7³×100. -----------------. 10³×3³×7²
Answers
Please mark me brainliest
Which expression is equivalent to the product of 5x + 1 and 2x - 3?
Answers
Answer:
10x^2 - 13x - 3
Step-by-step explanation:
(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3
Please help this is due today!!
Answers
Answer:
F(x) plus or minus would shift up or down...
1/3 f(x) "shrinks everything down by 1/3
the first answer is the correct choice
Step-by-step explanation:
La pirámide egipcia de keops tiene un volumen de 2;574,466 metros cúbicos su base es de 230m ¿cuál es la altura de dicha pirámide?
Answers
Answer:
Según los datos brindados, la altura de la pirámide egipcia de Keops sería de:
146 metros aproximadamente.Step-by-step explanation:
Para resolver el ejercicio, debes conocer la fórmula para calcular el volumen de una pirámide cuadrangular, el cual es el tipo de pirámide al cual pertenece la pirámide de Keops:
Volumen de una pirámide cuadrangular = [tex]\frac{L^{2} * h}{3}[/tex]Donde:
L = Longitud de los lados de la base cuadrada.h = Altura de la pirámide.Como queremos identificar la altura, despejamos esa variable de la ecuación, pero para simplificar un poco, vamos a escribir el volumen de la pirámide con la variable "v":
[tex]v=\frac{L^{2} * h}{3}[/tex] [tex]v * 3=L^{2} * h}[/tex] [tex]\frac{v*3}{L^{2} }=h[/tex]Y en esta ecuación que despejamos, procedemos a reemplazar los valores de volumen y base que nos dieron en el ejercicio:
[tex]\frac{2574466m^{3} *3}{(230m)^{2} }=h[/tex]Y realizamos las operaciones correspondientes:
[tex]\frac{7723398m^{3}}{52900m^{2} }=h[/tex] (Como hay metros cúbicos en el dividendo y metros cuadrados en el divisor, simplificamos en el siguiente paso para que solo queden metros).[tex]h = 145.9999622m[/tex]Aproximamos el número al entero más cercano, por lo tanto, la altura de dicha pirámide con los datos dados sería de aproximadamente 146 metros.
Một ô tô đi trong 3¾ giờ đầu với vận tốc 45km/ giờ .Trong 2 giờ tiếp theo đi được 84,7 km. Hỏi ô tô đã đi được tất cả bao nhiêu km?
Answers
Answer:
Total distance cover by car = 253.45 km (Approx.)
Step-by-step explanation:
Given:
Speed of car = 45 km/h for 3¾ hour
Distance cover in next 2 hour = 84.7 km
Find:
Total distance cover by car
Computation:
Distance = Speed x time
Distance cover by car = 45 x 3¾
Distance cover by car = 168.75 km
Total distance cover by car = Distance cover by car + Distance cover in next 2 hour
Total distance cover by car = 168.75 + 84.7
Total distance cover by car = 253.45 km (Approx.)
ctividad 1:
Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda
Answers
Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
53% of 80
? What is the percentage?
Answers
Answer:
42.4
Hope that this helps!
Answer: 66.25%
Step-by-step explanation:
53/80 x 100= 66.25%
Solve for x.
•none of these
•21.8
•68.2
•66.42
Please helppp
Answers
Answer:
21.8
Step-by-step explanation:
5m is adjacent and 3m is opposite so you use the formula
tan theta=opposite/adjacent
Is the missing side length a leg or the hypotenuse?
Answers
Answer:
the missing side is
[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]
Answer: Hypotenuse
Step-by-step explanation:
This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.
Can anyone help me with this please? I need help along with an explanation.
Answers
Answer:
Step-by-step explanation:
Find the circumference of each circle from the given radius or diameter
Answers
7) 50.26544
8) 251.3272
9) 235.61925
(i'm not sure if you're rounding to the nearest hundredth or not so i left the numbers as they were)
a right triangle whose acute angles have measures 5x and 4x.
Answers
Answer:
x=10
50 and 40
Step-by-step explanation:
The sum of the angles of triangle is 180
90 +5x+4x = 180
Combine like terms
90 +9x =180
Subtract 90 from each side
9x = 180-90
9x = 90
x = 90/9
x = 10
The angles are 5x = 5*10 =50 and 4x = 4(10)= 40
Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*
Answers
Check out the screenshot.
I need this answer quickly
Answers
9=5-x÷2
x=23
23-5=18÷2=9
the expression (x^2-1)^-2/3 is equivalent to
Answers
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
An isosceles triangle always has three interior angles that measure 60° each.
Is it true or false?
Please give real answers with explanation. 100 points + I will give brainliest. No Docs/No Files/No Links only answer with explanation.
Answers
Answer:
False
Step-by-step explanation:
The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!
what is the answer? can someone help
Answers
Answer: Choice B
Explanation: The rule you use is [tex]\sqrt{m*n} = \sqrt{m}*\sqrt{n}[/tex]
Answer:
Step-by-step explanation:
A: is not the answer. The answer is √144 which is 12
B: is correct. You can do it this way, by breaking the 9 and 16 apart.
C: I don't know exactly what the logic of 36 is, but it is not the right answer.
D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.
SOMEONE, PLEASE HELP!!!!!!!!
Answers
Answer:
Step-by-step explanation:
i think it is b
A house has a square room with an area of 125 f12.
What is the length of the side of the square room to the nearest tenth?help pls
Answers
Answer:
11.2 f12
Step-by-step explanation:
Find the square root of 125.
Hope this helps!
-kiniwih426
Classify each triangle with the set of side lengths given as acute, right, or obtuse.
Answers
Answer:
right angle
Step-by-step explanation:
each triangle is a different ome
rose has $500 in her savings account she earns simple interest at 5% per annum. calcutate the interest she earns after two year.
Answers
Answer:
$50
Step-by-step explanation:
Interest = PRT/100
Principal P = $500
Rate R = 5%
Time T = 2years
Get the interest
Interest = 500*5*2/100
Interest = 5 * 5 * 2
Interest = $50
Hence the interest eaned after 2years is $50
A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car
Answers
Answer:
50km/h
Step-by-step explanation:
Given data
A-B
Time taken= 3 hours
Distance= 150km
B-A
Time taken= 5 hours
We know that
Speed= distance/time
Speed= 150/3
Speed= 50km/h
Hence the speed of the car is 50km/h
Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.
Answers
what is (2x2 + 4x − 3)(x2 + 2) distributived ?
Answers
Answer:
2x⁴ + 4x³ + x² + 8x - 6
Step-by-step explanation:
(2x² + 4x - 3)(x² + 2)
2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)
2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)
2x⁴ + 4x² + 4x³ + 8x - 3x² - 6
2x⁴ + x² + 4x³ + 8x - 6
2x⁴ + 4x³ + x² + 8x - 6
Question 14 of 42
What is the slope of the line represented by the equation y- 6 = 5(x - 2)?
A. 6
B. -5
C. 2
D. 5
Answers
Point-Slope form:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
The slope is represented as m-term. Hence the slope is 5.
Answer
The slope is 5.There are 5 trees in Melinda's front yard. 2 of them are maple and 3 are oak. What percent
of the trees in Melinda's front yard are maples?
Answers
Explanation:
2 divided by 5= 0.4
Move the decimal to the right twice is 40%
2 = ?
2x100\5= 40%
John finds that there is a scholarship available to all personals scoring in the top 5% on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship
Answers
Answer:
He needs a score of 28.7315 to qualify for the scholarship
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the ACT is 21 with a standard deviation of 4.7
This means that [tex]\mu = 21, \sigma = 4.7[/tex]
What score does he need in order to qualify for the scholarship?
The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21}{4.7}[/tex]
[tex]X - 21 = 4.7*1.645[/tex]
[tex]X = 28.7315[/tex]
He needs a score of 28.7315 to qualify for the scholarship
Which equation represents the parabola shown on the graph?
y2 = 1.5x
x2 = 1.5y
y2 = 6x
x2 = 6y
Answers
The equation represents the parabola is x² = 6y.
What is Equation of Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
The general equation of a parabola is given by y = a(x – h)² + k
We have equations.
The graph's parabola is a vertical parabola that is open vertically and has its vertex at the origin.
So, the equation of the parabola is equal to
x² = 4ay...............(1)
and, the equation of the directrix is y= -a.
her, the directrix is y= -1.5
Now, the equation for the parabola is
x² = 4(1.5)y
x² = 6y
Learn more about Equation of Parabola here:
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