how do I know where which choices below go into the correct blanks for number 1-4?
Answers
For 1, we have the following triangle:
Using the cosine function to get the hypotenuse we get:
\(\begin{gathered} \cos (45)=\frac{7}{h} \\ \Rightarrow h=\frac{7}{\cos(45)}=\frac{7}{\frac{1}{\sqrt[]{2}}}=7\cdot\sqrt[]{2} \\ h=7\cdot\sqrt[]{2} \end{gathered}\)Now that we have the hypotenuse, we can find the remaining side using the pythagorean theorem:
\(\begin{gathered} h^2=7^2+x^2 \\ \Rightarrow x^2=h^2-7^2=(7\cdot\sqrt[]{2})^2-7^2=49\cdot2-49=49 \\ \Rightarrow x^2=49 \\ x=7 \end{gathered}\)Therefore, the value of the remaining side is 7.
Related Questions
Find the product
1. (-3) (8)
2. (-12)(-8)
3. -72 ÷ (-9)
Answers
Answer: 1.) -24
2.) 96
3.) 8
Step-by-step explanation:
1.) A negative number multiplied times a positive number will automatically equal a negative answer. Ex: (-9) (5) = -45
2.) A negative number multiplied times a negative number will autimatically equal a positive answer. Ex: (-4) (-5) = 20
3.) This is the same as the statement above, but all you're doing this time is dividing. A negative number divided by a negative number will equal a positive number. Ex: -36 ÷ (-9) = 4
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
12
Step-by-step explanation:
more 3:4:5 triangles lol, x is 3/4 * 16 = 12
How to solve these Trigonometry functions without using chain rule for any of them. Problem 3.
Answers
3.- To answer this question, we will use the quotient rule:
\((\frac{f(x)}{g(x)})^{\prime}=\frac{g(x)f^{\prime}(x)-f^{}(x)g^{\prime}(x)}{(g(x))^2}.\)Before applying the rule, we will determine each derivative to avoid confusion:
\(\begin{gathered} (\cos x)^{\prime}=-\sin x, \\ (1+\sin x)^{\prime}=(1)^{\prime}+(\sin x)^{\prime}=0+\cos x=\cos x. \end{gathered}\)Now, we substitute the above results in the quotient rule:
\(f^{\prime}(x)=\frac{(1+\sin x)(-\sin x)-(\cos x)(\cos x)}{(1+\sin x)^2}.\)Simplifying the above result, we get:
\(f^{\prime}(x)=\frac{-\sin x-\sin ^2x-\cos ^2x}{(1+\sin x)^2}.\)Recall that:
\(\sin ^2x+cos^2x=1.\)Therefore:
\(f^{\prime}(x)=\frac{-\sin x-1}{(1+\sin x)^2}=\frac{-(\sin x+1)}{(1+\sin x)^2}=-\frac{1}{1+\sin x}.\)Answer:
\(f^{\prime}(x)=-\frac{1}{1+\sin x}.\)2(x + 1),
x = 5
Substitute
Answers
Answer:
12
Step-by-step explanation:
2(5+1) =
2(6) =
12
at a university, 75%, or 1,014, of first-year students take a maths course. How many first-year students are there at the university?
A. s/1,014 = 75/100 ; 76 students
B. s/1,014 = 75/100 ; 761 students
C. 1,014/s = 75/100 ; 1,352
D. 1,014/s = 75/100 ; 714
help me pls!?
Answers
Answer:
C
Step-by-step explanation:
1014=0.75s
1014/0.75=s is the same as 1014/s=0.75
Tom is showing his work in simplifying (5.2 - 8.5) - 0.5 + 6.8. In which step did Tom make an error? (5 points)
Step 1:: (5.2 - 8.5) - 0.5 + 6.8
Step 2: 5.2 + (-8.5 - 0.5) + 6.8 (distributive property)
Step 3: 5.2 - 9 + 6.8
Step 4: 5.2 + 6.8 - 9 (commutative property)
Step 5: 12 - 9 = 3
Answers
Answer:
Step 2; he wrote distributive instead of associative
Step-by-step explanation:
Given the values A, B and C, the following expression is true about associative property
(A+B)+C = A+(B+C) [Associative property]
We can see that according to this property, we only regrouped the values without changing their positions.
Applying this in Tom's solution, we will find out that he made an error in step 2. The property he used was associative property not distributive property because all he did was to re-group the values with changing their positions.
From Step 1 and 2:
Step 1:: (5.2 - 8.5) - 0.5 + 6.8
Step 2: 5.2 + (-8.5 - 0.5) + 6.8 (Associative property)
Hence Tom made an error in step 2 where he wrote distributive instead of associative property.
Which is the best definition of a type I error?
Answers
A Type I error, also known as a false positive, is a statistical error that occurs when a researcher rejects a null hypothesis that is actually true.
In other words, it is the mistake of claiming that there is a significant effect or relationship between two variables when there is actually no such effect or relationship in the population being studied. This type of error is usually caused by a sample that is too small or biased, or by using an incorrect statistical test or significance level. The probability of making a Type I error is denoted by the symbol alpha (α), and it is usually set at 0.05 or 0.01 in scientific research. A Type I error can lead to false conclusions and can have serious consequences, especially in fields such as medicine or law.
What is null hypothesis ?
The null hypothesis is a statement or assumption that there is no significant difference or relationship between two or more variables in a population. It is typically denoted by H0 and is often contrasted with the alternative hypothesis (H1), which is the opposite of the null hypothesis and states that there is a significant difference or relationship between the variables.
To know more about null hypothesis, visit:
https://brainly.com/question/28920252
#SPJ1
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Answers
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
A light bulb consumes 9900 watt-hours in 5 days and 12 hours. How many watt-hours does it consume per day?
Answers
9900 total watts / 132 hours = 75 watts per hour
Since the light bulb consumes 75 watts an hour, we need to multiply 75 watts by 24 hours, to figure out how many watts are consumed in a day.
75 watts per hour x 24 hours = 1,800 watt-hours per day
Compare the functions shown below: g(x) f(x) = 4x − 1 tangent function with y intercept at 0, 2 h(x) = cos(x + 2π) Using complete sentences, explain which function has the greatest y-intercept.
Answers
Answer:
g(x) has the greatest y-intercept (the graph)
Step-by-step explanation:
The y-intercept for f(x) is -1, we can easily identify it at the end of the function.
The y-intercept for g(x) is 2, we can see that's where it crosses the y-axis.
The y-intercept for h(x) is 1, we can find this by substituting 0 for x in the equation.
h(0) = cos(0+2\(\pi\))
h(0) = cos(2\(\pi\))
h(0) = cos(360)
h(0) = 1
\(\pi\) = 180 when converting degrees to radians, and you can find the cosine of 360 with a calculator.
The function with the greatest y-intercept is g(x).
How to know which function has the greatest y-intercept?Here we have the two functions:
f(x) = 4x - 1h(x) = cos(x + 2π).g(x) = tangent function with y-intercept at (0, 2)The y-intercept is the value of the function when we evaluate in x = 0, so the y-intercepts of the given functions are:
f(0) = 4*0 - 1 = -1
h(0) = cos( 0+ 2π) = 1
And for g(x), we know that the y-intercept is at y = 2.
Then we can see that the function g(x) has the greatest y-intercept.
If you want to learn more about y-intercepts, you can read:
https://brainly.com/question/1884491
please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
Learn more about parabola here:
https://brainly.com/question/28094027
#SPJ1
Solve for x....................................
Answers
Answer:
x = 4.5 is the answer to the question
What is the solution to x + 11 = 26?
O A. x = 37
O B. x= 11
C. X = 22
Answers
Answer:
It would be 15, not the other options.
Step-by-step explanation:
37+11=48 Though, 37 - 11 = 26
11+11=22
22+11=33
15+11=26
x+11=26
Subtract 11 from both sides.
x=15
what is (14-3i)(14+3i)
Answers
===========================================
Work Shown:
\((14-3i)(14+3i)\\\\x(14+3i) \ ... \text{ let } x = 14-3i\\\\14(x)+3i(x)\\\\14(14-3i)+3i(14-3i) \ ... \text{ plug in } x = 14-3i\\\\196-42i+42i-9i^2\\\\196-9i^2\\\\196-9(-1)\\\\196+9\\\\205\)
Recall that \(i = \sqrt{-1}\) is the imaginary unit. Squaring both sides gets us \(i^2 = -1\)
You can verify the answer using a tool like WolframAlpha.
What is the value of the expression 30 X 5 + 6 X 4
will give brainliest
Answers
Answer:
174
Step-by-step explanation:
Answer:
30 × 5 + 6 × 4= 150 + 24= 174Step-by-step explanation:
I hope it helps ❤❤Convert the following equation
into standard form.
y = -7x/2 - 3
Answers
y = -7x/2 - 3
y+3 = -7x/2
2y + 6 = -7x
7x + 2y = -6
Final possible answers: 7x + 2y = -6 or
6 = -7x-2y
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
What is cos(tan^-1(-2/3))=
Answers
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
For more such quaetions on simplifies
https://brainly.com/question/29369267
#SPJ8
Find the equation of the line.
(6,4) (-4,-5)
Answers
Answer:
y = (9 x)/10 - 7/5
Step-by-step explanation:
y-y/x-x
in a bell system study made in 1961 regarding the dialing of calls between white plains, new york, and sacramento, california, the pmf of the number of trunks, x, required for a connection was found to be i 12345 px (i) .50 .30 .12 .07 .01 determine the distribution function of x. compute e[x], var[x] and the mode of x. let y denote the number of telephone switching exchanges that this call has to pass through. then y
Answers
The distribution function of a discrete random variable X is defined as F(x) = P(X ≤ x). To find the distribution function of X, we can sum up the probabilities for all values of X that are less than or equal to the value we are interested in.
For example, to find F(1), we would sum up the probabilities for X = 0, X = 1:
F(1) = P(X = 0) + P(X = 1) = 0.50 + 0.30 = 0.80
Similarly, we can find the distribution function for other values of X:
F(2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.50 + 0.30 + 0.12 = 0.92
F(3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.50 + 0.30 + 0.12 + 0.07 = 0.99
F(4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.50 + 0.30 + 0.12 + 0.07 + 0.01 = 1.00
The expected value (mean) of X, denoted as E[X], is calculated as the sum of all possible values of X multiplied by their corresponding probabilities:
E[X] = 0 × 0.50 + 1 × 0.30 + 2 × 0.12 + 3 × 0.07 + 4 × 0.01 = 0.50 + 0.30 + 0.24 + 0.21 + 0.04 = 1.29
The variance of X, denoted as Var[X], is calculated as the sum of the squares of the difference between each possible value of X and the expected value, multiplied by their corresponding probabilities:
Var[X] = (0 - 1.29)^2 × 0.50 + (1 - 1.29)^2 × 0.30 + (2 - 1.29)^2 × 0.12 + (3 - 1.29)^2 × 0.07 + (4 - 1.29)^2 × 0.01
= 1.69 × 0.50 + 0.41 × 0.30 + 0.49 × 0.12 + 1.69 × 0.07 + 3.61 × 0.01
= 0.85 + 0.123 + 0.059 + 0.118 + 0.361 = 1.71
The mode of X is the value that occurs most frequently in the distribution. In this case, the mode of X is 1, as it has the highest probability (0.30).
As for the number of telephone switching exchanges that the call has to pass through, denoted as Y, we cannot determine its distribution without more information. The distribution of Y is not given in the problem, so we cannot compute the expected value, variance and mode.
Read more about this on brainly.com/question/15128976
#SPJ4
Julie has 30 pounds of chocolate that she is selling for a fundraiser. She is putting the chocolate into boxes that each hold 2/3 pound of chocolate. How many boxes can she fill?
Answers
Answer:
45 boxes.
Step-by-step explanation:
30 / 2/3
= 30 * 3/2
= 90/2= 45
There are 250 bricks used to build a wall that is 20 feet high. How many bricks will be used to build a wall that is 30 feet high? *
5 points
260
330
400
375
Answers
Answer:
375 Bricks
Step-by-step explanation:
To find how many bricks for one foot you divide 250/20 which gives you 12.5
Now multiply 12.5 by 30, your answer is 375.
<3
I need urgent help with this pls
Answers
Factorise : 3a^3 + 648b^3.
Answers
Answer:
hope this hepls u.........
Determine the first 4 term of the sequence
tn=4(n - 1 )
Answers
Answer:
n1=0 n2=4 n3=8 n4=12
Step-by-step explanation:
tn=4(n-1) is the formula to determine the value of the nth term, so all you have to do is plug in what term you want for the variable and solve.
for example
n1=4(1-1)=0
n2=4(2-1)=4
n3=4(3-1)=8
n4=4(4-1)=12
Hope you understand and have a great day.
mu 3.) Add six to twelve, then divide the sum by four. Divide the quotient by negative nine and then
D multiply by twenty-four. What is the result?
com
eneral
eas to
pecific
onclusi
ns.
answer:
4.) Estimate the total cost of groceries if the prices are $6.47, $14.72, $7.99, $9.40, and $2.79.
Round each to the nearest dollar and add.
Answers
1) Using order of operations, the solution to the given expression is; 12
2) The estimated cost of groceries if the prices are estimated to the nearest dollar is; $42
How to use order of operations?In mathematics , the acronym for the right order of operations is PEMDAS which denotes;
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction.
3) From the given statement, we are to add 6 to 12, then divide the sum by 4. Thereafter, we divide the quotient by negative nine and then multiply by twenty-four. This is expressed as;
[(6 + 12)/4] = 18/4 = 9/2
Then divide by -9 to get;
(9/2) ÷ 9 = 1/2
Then we multiply by 24 to get;
1/2 * 24 = 12
4) Let us first estimate each cost to the nearest dollar to get;
$6.47 ≈ $6
$14.72 ≈ $15
$7.99 ≈ $8
$9.40 ≈ $9
$2.79 ≈ $3
Total estimated cost = 6 + 15 + 8 + 9 + 3 = $42
Read more about Order of Operations at; https://brainly.com/question/15266279
#SPJ1
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
Answers
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
The graph plots four equations. Which pair of equations has (4, 8) as its solution?
(see picture)
Answers
Answer:
B and D
Step-by-step explanation:
Both B and D cross over the point (4, 8) therefore they share the solution (4, 8)
Comparing exponential functions: mastery test
Answers
Answer:nice do it
Step-by-step explanation:
what is it about
show the problem
Step-by-step explanation:
What is the value of n for the equation?
Answers
Answer:
n = -10
Explanation:
\(\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}\)
Factor the common term
\(\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}\)
Make the denominator same
\(\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}\)
Join the fractions
\(\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}\)
simplify the following
\(\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}\)
cross multiply
\(\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4\)
cancel out common term
\(\Rightarrow \sf\left(5n+10\right)=4n\)
exchange sides
\(\Rightarrow \sf 5n-4n=-10\)
simplify
\(\Rightarrow \sf n=-10\)
what fraction of 9 is 3
Answers
Answer:
1/3
Step-by-step explanation:
Take the part over the whole
3/9
We can simplify
Divide the top and bottom by 3
1/3
1/3
Step-by-step explanation:
3/9 is 1/3 because dividing both sides by 3 is 1/3