Answer:
t=4
Step-by-step explanation:
Answer:
Solution: 4
Step-by-step explanation:
We are given that log(t - 3) = log(17 - 4t), and need to solve for the value of t. Start off by applying the log rule 'If log(f(x)) = log(g(x)) say, then f(x) = g(x).' Similarly the equation boils down to the following:
t - 3 = 17 - 4t
Solving this equation, we will receive our solution. Let's do it:
t - 3 = 17 - 4t,
t = 20 - 4t,
5t = 20,
t = 20/5 = 4 ✓
The previous solution is correct.
The velocity of an object is given by the following function defined on a specified interval. Approximate the displacement of the object on this interval by subdividing the interval into the indicated number of subintervals. Use the left endpoint of each subinterval to compute the height of the rectangles. v = 1/(2t + 4) (m/s) for for 0 ≤ t ≤ 88; n = 22
Answer:
The displacement of the object on this intervals is 1.33 m.
Step-by-step explanation:
Given that,
The function of velocity is
[tex]v=\dfrac{1}{2t+4}\ m/s[/tex]
For 0 ≤ t ≤8 , n = 2
We need to calculate the intervals
Using formula for intervals
For, n = 1
[tex]\Delta x=\dfrac{t_{f}-t_{i}}{n}[/tex]
[tex]\Delta x=\dfrac{8-0}{2}[/tex]
[tex]\Delta x=4[/tex]
So, The intervals are (0,4), (4,8)
We need to calculate the velocity
Using given function
[tex]v=\dfrac{1}{2t+4}[/tex]
For first interval (0,4),
Put the value into the formula
[tex]v_{0}=\dfrac{1}{2\times0+4}[/tex]
[tex]v_{0}=\dfrac{1}{4}[/tex]
For first interval (4,8),
Put the value into the formula
[tex]v_{4}=\dfrac{1}{2\times4+4}[/tex]
[tex]v_{4}=\dfrac{1}{12}[/tex]
We need to calculate the total displacement
Using formula of displacement
[tex]D=(v_{0}+v_{4})\times(\Delta x)[/tex]
Put the value into the formula
[tex]D=(\dfrac{1}{4}+\dfrac{1}{12})\times4[/tex]
[tex]D=1.33\ m[/tex]
Hence, The displacement of the object on this intervals is 1.33 m.
The displacement of the object whose velocity function is given is 1.33 m
The given parameters are:
[tex]\mathbf{v = \frac{1}{2t + 4},\ 0 \le t \le 8; n =2}[/tex]
The end point of intervals is calculated as:
[tex]\mathbf{\triangle t = \frac{b - a}{n}}[/tex]
So, we have:
[tex]\mathbf{\triangle t= \frac{8 - 0}{2}}[/tex]
[tex]\mathbf{\triangle t = \frac{8}{2}}[/tex]
[tex]\mathbf{\triangle t= 4}[/tex]
So, the intervals are (0,4) and (4,8)
Calculate the velocity at the beginning of each interval
[tex]\mathbf{v_0 = \frac{1}{2(0) + 4} = \frac 14}[/tex]
[tex]\mathbf{v_4 = \frac{1}{2(4) + 4} = \frac 1{12}}[/tex]
Calculate the displacement (S) using:
[tex]\mathbf{S = (v_0 + v_4) \times \triangle t}[/tex]
So, we have:
[tex]\mathbf{S = (1/4 + 1/12) \times 4}[/tex]
Expand
[tex]\mathbf{S = 1 + 1/3}[/tex]
Add
[tex]\mathbf{S = 1 \frac 13}[/tex]
Express as decimals to 2 decimal places
[tex]\mathbf{S = 1.33}[/tex]
Hence, the displacement is 1.33 m
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If KL = x + 4, LM = 2, and KM = 5x − 3, what is KL?
Step-by-step explanation:
then put x valule into KL equation
an airplane is traveling at 400 miles per hour. which equation can be used to find the total distance the plane will travel in h hours.
Answer:
y=400h
Where y is distance and h is time.
on Tuesday, the Soto salad restaurant served 6 1/2 cups of Italian salad dressing. if the restaurant serves 1/2 cups of dressing with each salad, how many salads where ordered?
Answer:
11
Step-by-step explanation:
PLZ HELP ASPPP PLZ WILL GIVE YOU BRAINLIST
Answer:
x=(-9)
PQ=2
PR=3
Step-by-step explanation:
I
rep
What is the solution of 4(2y + 1) = 2(y - 13)
What is the answer
Answer:
- 5
Step-by-step explanation:
Step 1:
4 ( 2y + 1 ) = 2 ( y - 13 )
Step 2:
8y + 4 = 2y - 26
Step 3:
6y + 4 = - 26
Step 4:
6y = - 30
Answer:
y = - 5
Hope This Helps :)
.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter. How many puppies are in the shelter this week? How many adult dogs are in the shelter this week
Answer:
There are 35 adult dogs and 20 puppies
Step-by-step explanation:
Represent the puppies with P and the Adult dogs with A
Given
[tex]A : P = 7 : 4[/tex]
Dogs = 55
Required
Determine A and P
First, we need to sum the ratios;
[tex]Total = A + P[/tex]
[tex]Total = 7 + 4[/tex]
[tex]Total = 11[/tex]
Adult Dogs is then calculated as follows;
[tex]A = \frac{A\ Ratio}{Total} * Dogs[/tex]
[tex]A = \frac{7}{11} * 55[/tex]
[tex]A = \frac{385}{11}[/tex]
[tex]A = 35[/tex]
Puppies is calculated by subtracting the number of adult dogs from the total
[tex]P = Dogs - Adult\ Dogs[/tex]
[tex]P = 55 - 35[/tex]
[tex]P = 20[/tex]
Hence;
There are 35 adult dogs and 20 puppies
Jack is packing snacks for him and his three brothers. He bought 10 1/2 ounces of pretzels. He wants to put the pretzels into bags so that he and his three brothers have the same of pretzels in their bags. How many ounces of pretzels should he put into each bag?
Answer:
3.5
Step-by-step explanation:
total pretzel=10 1/2 or10.5
no. of brother = 3
now,
10.5 pretzel for each borther= 10.5/3
=3.5 ans
What number line correctly shows one way to find 2-6 ?
Angles 1 and 2 form a right angle. 2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled 1, and the bottom angle is labeled 2. Which word describes their measures? linear congruent complementary supplementary
Answer:
complementary
Step-by-step explanation:
yes
The word that describes their measures of ∠1 and ∠2 is: complementary.
Recall:
Angles that are complementary are angles whose sum equals 90 degrees.A right angle equals 90 degrees.From the information given, we know that:
m∠1 and m∠2 forms a right angle.
Since a right angle = 90 degrees, therefore:
m∠1 + m∠2 = 90° (complementary)
Therefore, the word that describes their measures of ∠1 and ∠2 is: complementary.
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Match these non-parametric statistical tests with their parametric counterpart by putting the corresponding letter on the line.
_____ Friedman test
_____ Kruskal-Wallis H test
_____ Mann-Whitney U test
_____ Wilcoxon Signed-Ranks T test
A. Paired-sample t-test.
B. Independent-sample t-test.
C. One-way ANOVA, independent samples.
D. One-way ANOVA, repeated measures.
Answer:
A. Paired-sample t-test. --- Wilcoxon Signed-Ranks T testB. Independent-sample t-test. --- Mann-Whitney U testC. One-way ANOVA, independent samples. --- Kruskal-Wallis H testD. One-way ANOVA, repeated measures. --- Friedman testStep-by-step explanation:
The nonparametric statistics is a branch of statistics, that seeks out the population distribution that is either being distributed freely or specifically. Wilcoxon Signed-Ranks T-test is a hypothesis test used to compare the two or pre related columns that can be matched and maybe a repeated measure on a single sample.The Mann-Whitney U test is a null hypothesis and states the probability of a random sample of X and Y from the population is greater than the X and that Y is greater than X.Kruskal-Wallis H test is a test of one variance analysis and tests that sample originates from the same distribution.The Friedman test is used to find treatment across multiple tested attempts. It involves the ranking of the rows and then considering the values of the column.Consider the graphs of f (x) = x cubed and of g (x) = StartFraction 1 Over x cubed EndFraction. Are the composite functions commutative? Why or why not?
Answer:
c
Step-by-step explanation:
They are not commutative because the domains of f(x) and g(x) are different.
The functions [tex]f(x) = x^{3}[/tex] and [tex]g(x) = \frac{1}{x^{3} }[/tex] are not commutative because domains of f(x) and g (x) are different.
Here,
The functions are [tex]f(x) = x^{3}[/tex] and [tex]g(x) = \frac{1}{x^{3} }[/tex] and graph of the function are shown in figure.
We have to check the function are composite or not.
What is Domain of function?
The domain of a function is the set of all possible inputs for the function.
Now,
Domain of function [tex]f(x) = x^{3}[/tex] is ( -∞, ∞).
And, Domain of function [tex]g(x) = \frac{1}{x^{3} }[/tex] is ( -∞,0 ) U ( 0, ∞).
Hence, the domain of the functions are different so they are not commutative.
So, The functions [tex]f(x) = x^{3}[/tex] and [tex]g(x) = \frac{1}{x^{3} }[/tex] are not commutative because domains of f(x) and g (x) are different.
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Write an equation in slope-intercept form (y = mx + b).
A vertical line passing through (1, -4).
Answer:
x=1
Step-by-step explanation:
Anytime there is a vertical line, the y value becomes infinite as the line goes on forever. The only restriction on the line is on the x value of your coordinate. The same goes for a horizontal line, only the x value would become infinite and the y value would be constant.
Vertical Line: (x,∞)
Horizontal Line: (∞,y)
List several figures other than rectangles that tessellate the plane using translations
Answer:
A
Step-by-step explanation:
There are 18 men on 2 baseball teams. 2/3 of them brought their sons to watch them play. How many brought their son?
Evaluate x^2 + 2x + 3
for x = 4
Steps to solve:
x^2 + 2x + 3 when x = 4
~Substitute
4^2 + 2(4) + 3
~Simplify
16 + 8 + 3
~Add
24 + 3
~Add
27
Best of Luck!
Order the following numbers from least to greatest
Answer:
Step-by-step explanation:
Change all numbers to their decimal form.
37.5 % = 37.5 / 100 = 0.375
1/3 = 0.3333
0.3 = 0.3
40% = 40/100 = 0.4
3/5 = 0.6
Order
0.3
0.33333
0.375
0.4
0.6
How much discount is received on an item with a marked price of Rs 500 if the discount rate is 3%? * Rs 50 Rs 15 Rs 25 Rs 5
Answer:
Rs.15
Step-by-step explanation:
3% = 3/100 × 500 = 15
In a particularclass of 22 students, 10 are men. What fraction of the students in the class are
women?
Answer: 6/11
Work Shown:
22 people total, 10 men, so 22-10 = 12 women are in the class.
12/22 = (2*6)/(2*11) = 6/11 is the fraction of women in the class
Answer:
I'm pretty sure the answer they want is 12/22 or 6/11 students are women although some people are not men or women which technically makes the question impossible to solve.
G(x) = 2x^2 and h(x) = √x^2+1 .What is (goh)^-1 and is it a function?
Answer:
Step-by-step explanation:
Hello,
[tex](goh)(x)=g(h(x))=2\left( \sqrt{x^2+1}\right)^2=2(x^2+1)\\\\x=(goh)((goh)^{-1}(x))=2((goh)^{-1}(x)^2+1)\\ \\\left((goh)^{-1}(x)\right)^2=\dfrac{x}{2}-1=\dfrac{x-2}{2}\\ \\(goh)^{-1}(x)=\sqrt{\dfrac{x-2}{2}}[/tex]
And this is a function defined for x-2 [tex]\geq[/tex] 0, meaning x [tex]\geq[/tex] 2
Thanks
Geometry. Answer the question in the photo.
Answer:
5
Step-by-step explanation:
Since, A, B, C, D are collinear.
[tex] \implies A - B - C - D \\
\therefore \: AD = (AB + BC) + CD \\ \therefore \: 18 = AC + CD.. (\because AB + BC =AC) \\ \therefore \: 18 = 8 + CD \\ \therefore \: 18 - 8 = CD \\ \therefore \: 10 = CD \\ \\ \because \: BC + CD = BD \\ BC = BD - CD \\ BC = 15 - 10 \\ BC = 5 \\ [/tex]
If x=.5, what is the numerical value of 20x ?
g^>JiGj+\1I1.G"yGLzn5Y^>&==o܋tǶgj<c_W#vioǾ|kZΧfyUwɻUʽ=އ
what is 765,903 rounded to nearest hundred thousand
Answer:
800,000
Step-by-step explanation:
The numbers are above 5 making it round up not down
The percentage of first year college males who will claim no religious affiliation in 2030 is approximately ___%
Answer:
34.5%
Step-by-step explanation:
If we assume the relationship is approximately linear with time, we can use technology to draw a line of best fit through the given data. Extrapolating to the year 2030 predicts the value to be 34.5%.
In 2030, we might expect about 34.5% of male first-year college students to claim no religious affiliation.
_____
Additional comment
When it comes to religion, many factors are in play. The assumption we have made has no justification whatever, except that it provides a method for answering the question. (It also predicts the percentage to be 0 in 1963, which we believe to be unrealistic.) An exponential fit is better (r^2 = 0.97), and it predicts about 46.0%.
You invest $2000 in a bank account. Find the amount of simple interest you earn in two years for an annual interest rate of 5.5%. Use the formula for simple interest I = p · r · t, where I is the interest, p is the principal, r is the annual interest rate, and t is the time in years.
Answer:
$220 is the amount of simple interest you will earn
Step-by-step explanation:
I = p * r * t
Principle = $2000
Rate = 5.5% (you need to change this to a decimal by dividing by 100) or
0.055
Time = 2 years
I = 2000 * 0.055 * 2
I = $220
Question 1 (1 point)
When simplified [9(7 – 3) + 13] - [11 - (6 + 9)] equals:
53
39
43
None of these
Answer:45
Step-by-step explanation:
[9(7-3)+13]-[11-(6+9)]
[9(4)+13]-[11-(15)]
[36+13]-[4]
49-4
45
Answer: The answer is 53
I have 4 questions
1. Suppose point T is between points R and V on a line. If RT = 63 units and RV = 131 units,
then what is TV?
131
194
68
80
2.Given point P is between M and N. If MN = 26, MP = x + 4, and PN = 2x + 1, what is the value of x?
x = 3
x = 7
x = 12.5
x = 22
3.Given M is the midpoint of HJ, HM = 4x - 12, and MJ = 3x + 9. What is the value of x?
4.If D is the midpoint of CE, DE = 2x + 4, and CE = 6x + 2, then what is CD?
what is the domain and range of f(x)=2x+3
Answer:
D:{x∈R}
R:{y∈R}
Step-by-step explanation:
This is just a linear function. I know this because the degree of the x-variable is 1.
Domain and range are sets of possible values the function can have - though not necessarily at the same time.
Thus, there are no restrictions to the domain and range unless context is given.
Therefore, the domain and range is:
D:{x∈R}
R:{y∈R}
for each equation below, find y if x=3
-1/2(-6x -5/2) +1= 9x
Answer:
x=3/8
Step-by-step explanation:
Multiplique dentro del paréntesis por -1/2.Después de haber multiplicado le ecuación le quedará así 3x + 5/4 +1 = 9x.Ahora vamos a calcular la suma de la ecuación y quedará a 3x + 9/4 =9x.Después vamos a multiplicar ambos lados de la ecuación por 4 y quedará a 12x + 9= 36x.Luego vamos a mover la constante ( que es 9) al lado derecho y cambié su signo y quedará a 12x = 36x - 9.Después vamos agrupar los términos semejantes ( en este caso x) y quedará a -24x = -9.Finalmente vamos a dividir ambos lados de la ecuación entre -24 y la respuesta nos quedará a x = 3/8.