scrie descompunerea numarului 34
in the right triangle shown, cos B = .33 and a = 4. Find c.
Answer:
Step-by-step explanation:
Use the formula for the cos of an angle:
\(cos\theta=\frac{adj}{hyp}\) where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:
\(.33=\frac{4}{hyp}\)
Solve that equation for hyp to get:
\(hyp=\frac{4}{.33}\)
Dividing that gives us that hyp (aka "c") = 12.121212...
c ≈ 12.12 (approximate value of side c in the right triangle).
Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
In this case, cos B = 0.33.
We are given the length of the adjacent side, a, which is 4 units.
Use the equation cos B = a/c and rearrange it to solve for c:
cos B = a/c
Multiply both sides by c: c * cos B = a
Divide both sides by cos B: c = a / cos B
Substitute the values we have: c = 4 / 0.33.
Calculate the value of c using a calculator or by performing the division:
c ≈ 12.12.
Therefore, the length of side c in the right triangle is approximately 12.12 units.
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The expression 3s + s + 3 represents how much Alex and his family will spend to go to the movies. Which statement explains how this expression can be simplified?
Answer:
Step-by-step explanation:
The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.
The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:
3s + s = (3 + 1)s = 4s
Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.
The length of a rectangular box is 2 inches shorter than 3 times the width (x).The height is 4 inches.Which is the volume (y) function?
The volume function is:
V= Length x Width x Height
We seek how to express each measure as a function of X4
\(\begin{gathered} \text{width = X} \\ \text{Length = 3X-2} \\ \text{Height = }4 \end{gathered}\)with clear measurments we can replace
\(V=(3x-2)\times(x)\times(4)\)we can reduce the expression to have a more similar to the options
\(V=(4x)\times(3x-2)\)I used V for Volume but in the options is Y however it is not a problem
\(Y=4x(3x-2)\)for problems 16-18, find the volume of the solid obtained by rotating the specified region about the x axis. 16. Region under f(x)=x^2+3 for -1 < = x < = 2.
The volume of the solid obtained by rotating the specified region about the x-axis is 12.
Here we have to find the volume of the solid.
Data given:
f(x) = x² + 3
Limit of x is -1≤x≤2
Volume = \(\int\limits^2_-1 {(x^{2} + 3}) \, dx\)
= ( x³/3 + 3x\()^{2} _{-1}\)
= [( 8/3 + 6) - ( -1/3 - 3)]
= 26/3 +10/3
= 36/3
= 12
Therefore the volume is 12.
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how do you solve this?
Answer:
i have no idea.....
Step-by-step explanation:
Answer:
sin(5x)
Step-by-step explanation:
Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:
\(sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }\)
therefore, in our case:
\(sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }\)
so, make sure you type the expression : "sin(5x)" in the provided text-box.
4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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31. The data set below shows the mileage and selling prices of eight used cars of the same model. Mileage Price 21,000 $16,000 34,000 $11,000 41,000 $13,000 43,000 $14,000 65,000 $10,000 72,000 $12,000 76,000 $7,000 84,000 $7,000 (a) Calculate r , the correlation coefficient between these two variables. r = (b) Interpret the value of r : the association is Select an answer and Select an answer (c) Compute the regression line for predicting price from mileage. ˆ y = x + (d) Predict the price of a car with 30,000 miles. $ (e) Does the student with 43,000 miles on it have a higher or lower price than the one predicted by the regression line? Higher Lower
we have that
using a Correlation Coefficient Calculator
Please wait a minute to calculate the correlation coefficient
The value of R is: 0.6775
This is a moderate positive correlation, which means there is a tendency for high X variable scores go with high Y variable scores (and vice versa
Part b
Is positive and moderate
Part c
using a Linear Regression Calculator
y= 0.13085X + 2.05929
Part d
For x=30,000 miles
substitute in the equation Part C
y= 0.13085*(30,000) + 2.05929
y=$3,927.56
Part e
For x=43,000 miles
substitute in the equation Part c
y= 0.13085*(43,000) + 2.05929
y=$5,628.61
Compare with the value of the given table
For x=43,000 miles -------> y=$14,000
therefore
5,628 < 14,000
the answer is Lower
1. A research team wants to investigate the usefulness of relaxation training for reducing levels of anxiety in individuals experiencing stress. They identify 30 people at random from a group of 100 who have "high stress" jobs. The 30 people are divided into two groups. One group acts as the control group - they receive no training. The second group of 15 receive the relaxation training. The subjects in each group are then given an anxiety inventory. The summarized results appear below where higher scores indicate greater anxiety. Evaluate using the criteria of p < .05. Assume it is a two tailed test.
Answer:
a. H0:u1=u2
Ha:u1>u2
b. T-critical value =1.7011
c. We can conclude that relaxation training has reduced stress levels based on evidence gathered from statistical calculations
Step-by-step explanation:
Please find attachment
The wholesale price for a shirt is $3.50. A certain department store marks up the wholesale price by 50%. Find the price of the shirt in the department store. Round your answer to the nearest cent as necessary.
Answer:
14.2857143
Step-by-step explanation:
To find an increase in a number, you need to divide the increase by the starting number, and then multiply that result by 100%.
Solve the following equation using the square root property.
9x2 + 10 = 5
what's the area of a triangle, rectangle, parallelogram
Answer:
Triangle Area = ½ × b × h b = base h = vertical height
Rectangle Area = w × h w = width h = height
Parallelogram Area = b × h b = base h = vertical height
Step-by-step explanation:
:)
Answer:
area
triangle = 1/2 x base x height
rectangle = base x height
parallelogram = base x height
Step-by-step explanation:
Which statement about the following system of inequalities is true?
There is no solution because the shading does not overlap.
There is no solution because the graphs do not intersect.
The solution contains points in four quadrants of the coordinate plane.
The solution is equal to the solution to
Answer:
the following system of inequalities is true
Step-by-step explanation:
there is no solution because the graph do not intersect
There is no solution because the graph does not intersect.
The following system of inequalities is true.
We have given that,
There is no solution because the shading does not overlap.
There is no solution because the graphs do not intersect.
The solution contains points in four quadrants of the coordinate plane.
The solution is equal to the solution to
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
There is no solution because the graph does not intersect.
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I really need help I will give you points
A.
x = 60; m∠ROS = 28°
B.
x = 62; m∠ROS = 31°
C.
x = 28; m∠ROS = 60°
D.
x = 31; m∠ROS = 62°
Answer:
D.
x = 31; m∠ROS = 62°
Step-by-step explanation:
we know that a right angle is always 90 degrees, so we subtract 90° by ∠QOR:
\(90 - 28 = 62\)
Then we insert the 62 with the (2x)
\(62 = 2x\)
we divide both sides by 2 and we get:
\(31 = x\)
so the answer is D
x is equal to 31 and we can multiply 31 by 2 and we can get 62°
A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her small college. Participants in the study (first-year students at her college) complete an online memory task. The students are first shown a list of 60 words. Next they are shown a list of 10 words that were on the original list. Then they are asked to identify the words on the second list that appeared on the original list. She uses the percentage of words that were correctly recognized on the original list as her measure of memory quality. She also asks the students to report several characteristics such as their age, gender, and verbal SAT score. Each of the 750 first-year students (338 males and 412 females) at her school volunteers to participate. The professor chose 75 students at random to complete the memory task and answer the questions. The average percentage of words that were correctly recognized on the original list was 68%. The professor infers that if all 750 first-year students had completed the study, the results would show that an average of 68% (plus or minus sampling error) of the words were correctly recognized as being on the original list. Which of the following are variables in the study? Check all that apply.
A. The students' verbal SAT scores
B. The students' percentage of words that were correctly recognized on the original list
C. The 75 students
D. The 750 students
Answer:
The variable are
A and B
Step-by-step explanation:
Generally we can define a variable as a name of a placeholder representing a value now considering the option to be selected from we see that
The students' verbal SAT scores is a variable because it is a phrase or a place holder that represent a value (in the is case a numerical value) which the score its self
The second option The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself
The third option The 75 students is not a variable because it is not representing any value but itself is the value
The third option The 750 students is not a variable because it is not representing any value but itself is the value
Find the equation in slope-intercept form of the line with slope 2 which passes through the point (2, 8)
The equation of the line in slope-intercept form is y = 2x + 4
What is slope how to solve slope equation ?
Slope is a measure of the steepness of a line. It is defined as the ratio of the change in y-coordinates to the change in x-coordinates between any two points on the line. Slope is denoted by the letter m.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line.
To solve for the slope of a line given two points, you can simply plug in the coordinates into the slope formula and simplify.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the slope is 2, so we have:
y = 2x + b
To find the value of b, we can use the fact that the line passes through the point (2, 8). Substituting these values into the equation, we get:
8 = 2(2) + b
Simplifying the right-hand side, we get:
8 = 4 + b
Subtracting 4 from both sides, we get:
b = 4
So the equation of the line in slope-intercept form is:
y = 2x + 4
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Write 7688 in scientific notation
7688 in scientific notation is 7.688 * 10^3
How to write 7688 in scientific notation?The number is given as:
7688
Express as a product of 1
7688 = 7688 * 1
Express 1 as 1000/1000
7688 = 7688 * 1000/1000
Rewrite as:
7688 = 7688/1000 * 1000
Evaluate the quotient
7688 = 7.688* 1000
Express 1000 as 10^3
7688 = 7.688 * 10^3
Hence, 7688 in scientific notation is 7.688 * 10^3
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HELP PLEASE
Use AAS to prove the triangles congruent.
Given: AB || GH, AC || PH, AC « FH
Prove: ABC - AHGF
H
Complete the flowchart proof.
Proof:
ZBZG
AB | GH
Given
1
ZACB ZHPG
AABC AHGF
AC | FH
Given
2
AAS
AC PH
Given
Answer:
The 1st the 3rd and 4th are the answers
Step-by-step explanation:
Edgen
Find vertical asymptotes?
Answer:
Step-by-step explanation:
Vertical asymptotes come from the denominator. You can never get 0 in the denominator so you set the bottom of a fraction with polynomials =0 and solve for your x's and that is your asymptotes
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Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
identify each function as linear or exponential. explain. prompt 1f(x) equals the number of boxes in row x of a stack in which each row increases by 2 boxes answer for prompt 1 f(x) equals the number of boxes in row x of a stack in which each row increases by 2 boxes prompt 2f(x) equals the number of branches at level x in a tree diagram, where at each level each branch extends into 4 branches.
\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.
In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.
A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.
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The complete question is-
Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.
How many 5-letter code words can be formed from the letters T, Q, G, E, B if no letter is repeated? If letters can be repeated? If adjacent letters must be different?
The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.
Now when no letters are repeated:
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.
So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes
if letters can be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.
So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes
if adjacent letters cannot be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.
So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes
Hence the total number of codes as calculated by permutation and combination is 1280.
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Melissa has a savings account. She deposited $1,000 into the account the first year. For each year after the first, she plans to deposit an amount that is 2 percent greater than the amount deposited the preceding year. If she makes no other deposits, the total amount of the deposited money in years is the sum Sn
of a geometric series of n terms.
The formula for Sn
can be expressed as (1000(1−rn)1−r)
.
Melissa will have deposited approximately how much by year 30?
Responses
A.$30,000
B.$35,729
C.$40,568
D.$87,453
Answer:
Step-by-step explanation:
The formula for Sn of a geometric series with first term a and common ratio r is:
Sn = a((1-r^n)/(1-r))
In this case, the first term a is $1,000, the common ratio r is 1.02 (since she's depositing 2% more each year), and n is 30 (since we're looking for the amount deposited after 30 years).
Plugging in these values, we get:
Sn = 1000((1-1.02^30)/(1-1.02))
Sn ≈ $87,453
Therefore, the answer is D. $87,453.
Find the product of polynomials (First Screenshot)
Problem 1.5 (Second Screenshot)
Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.
what is polynomials ?A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.
given
Multiply each combination of terms:
Combine like terms.
3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=
3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.
Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.
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Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
Which table represents a linear function?
Answer:
A
Step-by-step explanation:
Write the improper fraction 62/9 as a mixed number.
Answer:
62/9
Step-by-step explanation:
What is one disadvantage of a trade school education over a four-year college?
A. The cost will be higher.
B. Your courses will not be as diverse.
C. You will have to study longer.
D. You will be less prepared to work.
Answer: B. Your courses will not be as diverse.
Step-by-step explanation:
A four-year college will have many different classes and courses you can take in different areas. Trade school courses focus on a specific skill, such as being a dentist or an electrician. This means the answer to your question is;
B. Your courses will not be as diverse.
Answer: B: Your courses will not be as diverse
Step-by-step explanation: Trade schools focus on preparing you for a specific trade rather than general studies