Help ASAP 6x - 3(2 – 3x)
Answer:
First: we expand
6x-(6-9x)
Then we simplify
6x-6+9x
Collect like terms
(6x+9x)-6
Simplify:
15x-6
The answer is 15x-6
PLEASE HELP ME AS SOON AS POSSIBLE!!!!!! FIVE AND SIX PLEASE
Answer:
5 infinitely
6 i think its 2
Step-by-step explanation:
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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In ΔEFG, e = 210 cm, f = 520 cm and g=510 cm. Find the measure of ∠G to the nearest degree. PLEASE VERY URGENT.
Answer:
76°
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
Delta Math
A hydro tower is supported by two wires on opposite sides. On the ground, the ends of the wire are 48 m apart. One wire makes a 62° angle with the ground. The other makes a 75° angle with the ground. Draw a diagram of the situation. Then determine the height of the tower, to the nearest tenth of a metre.
Using the tangent of an angle from trigonometric ratios, the height of the tower is 45.15m
What is the height of the tower?From the diagram of the situation, we can calculate the height of the tower using trigonometric ratios.
Assuming the distance apart the two wires is taken into consideration;
We can have a right - angle triangle.
Using tangent of an angle;
tan θ = opposite / adjacent
tan 62 = x / 24
cross multiply both sides
x = 24 tan 62
x = 45.15 m
The height of the tower is 45.15m
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Divide f(x) by d(x). Your answer
should be in the following format:
f(x)
d(x)
f(x)
d(x)
Q(x) +
=
4x³8x²+2x1
2x + 1
[?]
R(x) = -²
R(x)
d(x)
The value of R(x) is - [1-7x]
What is division in algebra?
The four basic arithmetic operations of addition, subtraction, multiplication, and division are used to connect variables and constants in algebraic expressions. The procedure of multiplying and dividing algebraic expressions is the opposite of each other. You can divide algebraic expressions using the long division method, the division of a monomial by another monomial, or the division of a polynomial by another polynomial.
Dividend: The number or value that we divide is known as a dividend.
Divisor: The number that divides the dividend is known as a divisor
Quotient: The result obtained from the division process is known as a quotient
Remainder: The number left over after the division process is known as the remainder.
In the given question;
f(x) is dividend and
d(x) is divisor
Q(x) is the quotient
And we have to find the remainder i.e. R(x)
After dividing \(\frac{4x^3-8x^2+2x-1}{2x+1}\) we get
Q(x) =\(2x^2-5x\)
and R(x) = \(-[1-7x]\)
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Answer: 9/2
Step-by-step explanation:
find the value of x if log3 625=x
Given:
The equation is
\(\log_3625=x\)
To find:
The value of x.
Solution:
We have,
\(\log_3625=x\)
It can be written as
\(\log_3(5)^4=x\)
\(4\log_3(5)=x\) \([\because \log x^n=n\log x]\)
\(4\dfrac{\log (5)}{\log (3)}=x\) \([\because \log_ab=\dfrac{\log_xb}{\log_xa}]\)
\(4\times \dfrac{0.69897}{0.47712}=x\)
\(x\approx 5.8599\)
Therefore, the value of x is about 5.8599.
find the 37th term of 352,345,338
Answer:
\(a_{37}=100\)
Step-by-step explanation:
Given that,
A sequence 352,345,338.
First term = 352
Common difference = 345-352 = -7
We need to find the 37th term of the sequence.
The nth term of an AP is given by :
\(a_n=a+(n-1)d\\\\a_{37}=352+36\times (-7)\\\\a_{37}=100\)
So, the 37th term of the sequence is 100.
I need with help with this question
Answer:
the answer is 3
Step-by-step explanation:
The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth
Answer:
Table needed to help
Step-by-step explanation:
Mean vs Median
The mean (informally, the “average“) is found by adding all of the numbers together and dividing by the number of items in the set: 10 + 10 + 20 + 40 + 70 / 5 = 30.
The median is found by ordering the set from lowest to highest and finding the exact middle. The median is just the middle number: 20.
Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and standard deviation of 4.1 while the second sample has a mean of 40.1 and standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. What can the researcher conclude?
Answer:
\(t=\frac{(43.5 -40.1)-(0)}{3.678\sqrt{\frac{1}{20}+\frac{1}{20}}}=2.923\)
The degrees of freedom are
\(df=20+20-2=38\)
And the p value is given by:
\(p_v =2*P(t_{38}>2.923) =0.0058\)
Since the p value for this cae is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Step-by-step explanation:
When we have two independent samples from two normal distributions with equal variances we are assuming that
\(\sigma^2_1 =\sigma^2_2 =\sigma^2\)
And the statistic is given by this formula:
\(t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}\)
Where t follows a t distribution with \(n_1+n_2 -2\) degrees of freedom and the pooled variance \(S^2_p\) is given by this formula:
\(S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}\)
The system of hypothesis on this case are:
Null hypothesis: \(\mu_1 = \mu_2\)
Alternative hypothesis: \(\mu_1 \neq \mu_2\)
We have the following data given:
\(n_1 =20\) represent the sample size for group 1
\(n_2 =20\) represent the sample size for group 2
\(\bar X_1 =43.5\) represent the sample mean for the group 1
\(\bar X_2 =40.1\) represent the sample mean for the group 2
\(s_1=4.1\) represent the sample standard deviation for group 1
\(s_2=3.2\) represent the sample standard deviation for group 2
First we can begin finding the pooled variance:
\(\S^2_p =\frac{(20-1)(4.1)^2 +(20 -1)(3.2)^2}{20 +20 -2}=13.525\)
And the deviation would be just the square root of the variance:
\(S_p=3.678\)
The statistic is givne by:
\(t=\frac{(43.5 -40.1)-(0)}{3.678\sqrt{\frac{1}{20}+\frac{1}{20}}}=2.923\)
The degrees of freedom are
\(df=20+20-2=38\)
And the p value is given by:
\(p_v =2*P(t_{38}>2.923) =0.0058\)
Since the p value for this cae is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Using the t-distribution, as we have the standard deviation for the sample, it is found that the researcher can conclude that there is a difference between the population means at the 0.05 significance level.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is:
\(H_0: \mu_1 - \mu_2 = 0\)
At the alternative hypothesis, it is tested if there is a difference, that is:
\(H_a: \mu_1 - \mu_2 \neq 0\)
What is the mean and the standard error of the distribution of differences?For each sample, we have that they are given by
\(\mu_1 = 43.5, s_1 = \frac{4.1}{\sqrt{20}} = 0.9168\)
\(\mu_2 = 40.2, s_2 = \frac{3.2}{\sqrt{20}} = 0.7155\)
Hence, for the distribution of differences, the mean and the standard error are given by:
\(\overline{x} = \mu_1 - \mu_2 = 43.5 - 40.2 = 3.3\)
\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.9168^2 + 0.7155^2} = 1.163\)
What is the test statistic?It is given by:
\(t = \frac{\overline{x} - \mu}{s}\)
In which \(\mu = 0\) is the value tested at the null hypothesis, hence:
\(t = \frac{\overline{x} - \mu}{s}\)
\(t = \frac{3.3 - 0}{1.163}\)
\(t = 2.84\)
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05 and 20 + 20 - 2 = 38 df, the critical value is of \(|z^{\ast}| = 2.0244\).
Since the absolute value of the test statistic is greater than the critical value, it is found that the researcher can conclude that there is a difference between the population means at the 0.05 significance level.
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Raul is pouring concrete
Answer:
wow-
Step-by-step explanation:
Bet he's doing a good job ;)
Will Make Brianliest4−(2x+4)=5
Answer:
x=5 over 2 (it's a fraction)
Step-by-step explanation:
STEP 1 distribute : 4-1 (2x+4)=5
4-2x-4=5
STEP 2 subtract: 4-2x-4=5
-2x=5
STEP 3 divide both sides of the equation by the same term:
-2x=5
-2x 5
----- ------
-2 -2
STEP 4 simplify:
cancel the terms that are both the numerator and denominator
divide the numbers
x= - 5 over 2 (fraction)
I hope this helps
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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Barry made a model to show multiplication of a fraction by a fraction
Answer:
I don't have much information to help you solve it sorry!!
Step-by-step explanation:
Milk is leaking from a carton at a rate of 3 mL/min. There is 1.2 L of milk in the carton at 11:00 a.m. At what time will 450 mL of milk be left in the carton?
9514 1404 393
Answer:
3:10 p.m.
Step-by-step explanation:
The amount that will have leaked is ...
1200 mL -450 mL = 750 mL
The time required for this amount to leak out is ...
(750 mL)/(3 mL/min) = 250 min = 4 h, 10 min
There will be 450 mL left in the carton at 3:10 p.m.
Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
what is the general formula for quadratic equation
Answer:
ax^2 + bx + c = 0
Step-by-step explanation:
a, b, are the coefficients, c is the constant term, and x is the variable
Hope that helps
In a class of 35 students, 15 are seniors, 20 are females, and 7 are both a senior and a female. If I choose a student at random, what is the probability I choose a female or a senior?
Answer:
1Step-by-step explanation:
15 + 20 / 35
35/35 = 1 (certain)
The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.
I'm always happy to help :)
Answer:
1.
Step-by-step explanation:
Prob ( Choosing a female) = 20/35
Prob ( Choosing a senior) = (15)/ 35 = 15/35
Requires probability = 20/35 + 15/35
= 35/35
= 1.
Which polynomial function could be represented by the graph below?
Ms. Gadget car broke down on the turnpike. Acme town Ig charged $30 plus $3 per mile to tow the car. If ms. Gadget paid $162, how far was the car towed
Katia placed the rest of the stickers on pages 2 and 3 of her scrapbook, as
shown below
Complete the expression below to represent the total number of stickers on
pages 2 and3
The expression can be completed as 4 × (4 + 3)
How to complete the expression?A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.
Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.
Looking at the pages:
On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:
4 × (4 + 3)
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graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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Math problem on Pearson
A) The probability of choosing a tile at random from a bag containing 2 As, 3 Bs, and 4 Cs is 1/9. This is because there are a total of 9 tiles in the bag and each tile has an equal chance of being chosen.
What is probability?Probability is a measure of the likelihood that a given event will occur, expressed as a number between 0 and 1. A probability of 1 indicates that the event is certain to occur, while a probability of 0 indicates that the event is impossible.
B) The probability of choosing the same tile again after replacing the first tile is still 1/9. This is because replacing the first tile does not change the probability of any of the tiles being chosen. Each tile still has an equal chance of being chosen.
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Suppose you want to test the claim that μ>25.6. Given a sample size of n=42 and a level of significance of α=0.025, when should you reject the null hypothesis?
A. if the standardized test statistic is greater than 1.96
B. if the standardized test statistic is greater than 1.28
C. if the standardized test statistic is greater than 2.33
D. if the standardized test statistic is greater than 1.65
If the test statistic is higher than 1.645, reject H0. If the test statistic is higher than 2.33, reject H0.
What is null hypothesis?Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis.
The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population.
The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.
"The null hypothesis is the proposition under investigation in a statistical significance test.
The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.
H0 is a common way to represent it.
Hence, If the test statistic is higher than 1.645, reject H0. If the test statistic is higher than 2.33, reject H0.
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Q is the midpoint PR¯. If QR=25, andPQ=2x+5, what is the value of x? Sketch and label and then, solve!
The midpoint of a line segment divides the line into equal parts.
The value of x is: 10
From the question, we understand that Q is the midpoint of PR.
This means that:
PQ = QR
So, we have:
\(2x + 5 = 20\)
Collect like terms
\(2x = 25 - 5\)
Subtract 5 from 25
\(2x = 20\)
Divide by 2
\(x = 10\)
Hence, the value of x is 10
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$2665 is compounded annually at a rate of 9% for 1 year
Answer:
$2675
Step-by-step explanation:
What's 2+5^3, and how exactly would I solve it
The result of the expression 2 + 5^3 is 127.
To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
In this case, the exponentiation should be performed first.
Step 1: Calculate 5^3
5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.
Step 2: Add 2 to the result from Step 1.
2 + 125 = 127.
Therefore, the result of 2 + 5^3 is 127.
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What is the solution of the system of equations shown in the graph below?
A. (-1, 0) and (-3, 0) B. (0, 1) and (0, -3)
C. (-2, -1) D. (-1, -2)
Answer:
Step-by-step explanation:
d
Consider the graph of function f below.
The function g is a transformation of f. If g has a y-intercept at -1, which of the following functions could represent g?
A. g(x) = f(x) + 4
B. g(x) = f(x) - 1
C. g(x) = f(x + 4)
D. g(x) = f(x - 1)