PLEASE HELP!! “Find the value of x and round your answer to the nearest degree. Show your work.”
Answers
Answer:
Step-by-step explanation:
cos(x) = 179/202
x = arccos(0.886138613861)
x = 27.608033...
x = 28°
Related Questions
Please help me with this
Answers
Write an equation for the function graphed below
Answers
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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Based on this information, The intersection of planes 1 and 2 consists of
Answers
Answer:
b
Step-by-step explanation:
yes
Answer:
i belive the answer is b to
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Choose the most reasonable Celsius temperature for a snowy day.
17°C 26°C -6°C
Choose the most reasonable Celsius temperature for a snowy day.
O A. 26°C
OB. 17°C
C. -6°C
Answers
The most reasonable temperature for a snowy day is given as follows:
C. -6°C
How to obtain the most reasonable temperature?Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.
17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:
C. -6°C
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HELP IM DESPRITE
Which statements represent the inequality 75+10x≥350 written as a real-world problem?
Select each correct answer.
Oliver can spend no more than $350 at the store on a school supplies. The tablet is $75 and each book costs $10. How many books can Oliver buy?
Riley wants to save at least $350. She earns $10 each week walking dogs. She has $75 saved. How many weeks will Riley need to walk dogs?
Elijah would like to have at least $350 to take on vacation for spending money. He already saved $75 and plans to save $10 per week from his weekly paycheck. When will Elijah have enough money to go on vacation?
Zoe earns $10 per hour babysitting. She has saved $75. How many hours of babysitting will she need to save at most $350?
Answers
The statements that describe the given inequality are as follows:
Riley wants to save at least $350. She earns $10 each week walking dogs. She has $75 saved. How many weeks will Riley need to walk dogs?Elijah would like to have at least $350 to take on vacation for spending money. He already saved $75 and plans to save $10 per week from his weekly paycheck. When will Elijah have enough money to go on vacation?What is the inequality and it's meaning?The inequality is given by:
\(10x + 75 \geq 350\)
It means that the sum of a fixed amount of 75 plus a variable amount of 10 has to be of at least 350.
Hence, the 2nd and the 3rd options are correct.
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Solve the system
u=2x-y v= 3 x+2y, for x and y in terms of u and v then find the value of Jacobian σ(x,y)/σ(u,v). Find the image under the transformation of the triangular region with the vertices (0,0) ,(2,4), and (2, -3) in the x,y plane. Sketch the transformed region in uv plane.The function for x in terms of u and v is x=?
Answers
Answer:
x = \(\frac{2u+v}{7}\)
y = \(\frac{2v - 3u }{7}\)
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x = \(\frac{2u+v}{7}\)
y = \(\frac{2v - 3u }{7}\)
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
In this exercise we have to use system and Jacobian knowledge to calculate the requested values, thus we find that:
\(X= \frac{2u+v}{7} \\\\Y= \frac{2v-3u}{7}\\\\J= \frac{1}{7}\)
Given data as:
\(u = 2x -y\) \(v = 3x + 2y\)
Solving the system for x:
\(2u=4x-2y\\v= 3x-2y\\= 2u+v/7\)
Solving the system for v:
\(u = 2(2u+v/7)-y\\y= 1/7(2v-3u)\)
Find the value of the Jacobian:
\(\frac{dx}{du}= \frac{d(2u+v/7)}{du}= 2/7\\\\\frac{dv}{du}= \frac{d(2u+v/7)}{du}= 2/7\)
\(\frac{dx}{du}= \frac{d(2v+3u/7)}{du}= -3/7\\\\\frac{dv}{du}= \frac{d(2v+3u/7)}{du}= 2/7\)
Substitute the given value in equation will become:
\(J= 1/7\)
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2. Josh has m marbles. Matthew has 5 more than triple the number of marbles that Josh has. In terms of m, how many marbles does Matthew have?
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Josh’s marbles can be represented by m
Matthew’s marbles can be represent by 3m+5 (the 3m is for triple what Josh has which is m)
The segments shown below could form a triangle.
9
A
C
C
B
4
B
A
15
True or false
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No/False - there is a rule that state that the sum of two sides of a triangle must be greater than the 3rd side.
In light of the question -In geometry, a triangle is a closed two-dimensional figure with three sides, three corners, and three vertices.Triangles are considered polygons with the fewest sides. In this article, we will discuss in detail what a triangle is, its types, properties and formulas.Learn more about triangles here. In geometry, a triangle is a type of polygon with three sides and three vertices. A triangle is considered a three-sided polygon.The sum of the three angles of a triangle is 180°. A triangle is contained in a single plane. There are six types of triangles based on their side and angle measurements.A triangle has only three sides joined by corners. Therefore, no matter what kind of triangle it is, it always has three sides.CalculationNo - there is a rule that state that the sum of two sides of a triangle must be greater than the 3rd side.
While 9+15 >4
and 4+15 >9
9+4 is not greater than 15 - so this triangle cannot be made.
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ANSWER AND STEPS PLEASE
A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches. What is the approximate volume of the basketball in cubic inches?
Answers
Answer:
Step-by-step explanation:
V sphere = (4/3) π r³ r = 4.7 inches
= (4/3) π 4.7³ use calculator now
= 435 in³
Smallest successive composites with gap
17, 73, 2, 19
Answers
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
expand and simplify (x+3)(x+5)
Answers
Step-by-step explanation:
(x+3)(x+5)
x.x + x.5 + 3.x +3.5
=x²+5x+3x+15
=x²+8x+15
A survey of 77 teenagers finds that 30 have 5 or more servings of soft drinks a week. a. Give a 90% confidence interval for the proportion of teenagers who have 5 or more servings of soft drinks a week. b. In the general population, 30% have 5 or more servings of soft drinks a week. Is there evidence that a higher proportion of teenagers have 5 or more servings of soft drinks a week than the general population
Answers
Answer:
a) The 90% confidence interval for the proportion of teenagers who have 5 or more servings of soft drinks a week is (0.2982, 0.481).
b) 30% = 0.3 is part of the confidence interval, which means that there is no evidence that a higher proportion of teenagers have 5 or more servings of soft drinks a week than the general population.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
A survey of 77 teenagers finds that 30 have 5 or more servings of soft drinks a week.
This means that \(n = 77, \pi = \frac{30}{77} = 0.3896\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3896 - 1.645\sqrt{\frac{0.3896*0.6104}{77}} = 0.2982\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3896 + 1.645\sqrt{\frac{0.3896*0.6104}{77}} = 0.481\)
The 90% confidence interval for the proportion of teenagers who have 5 or more servings of soft drinks a week is (0.2982, 0.481).
Question b:
30% = 0.3 is part of the confidence interval, which means that there is no evidence that a higher proportion of teenagers have 5 or more servings of soft drinks a week than the general population.
Write a recursive formula for the explicit formula.
A(n)= 9+ (n - 1)(-4)
Choose the correct formula below.
O A. A(n-1)= A(n) - 4; A(1)= 9
OB. A(n) = A(n-1) - 4; A(1)= 9
O C. A(n-1) = A(n) + 9; A(1)= - 4
OD. A(n) = A(n-1) + 9; A(1) = - 4
Answers
Answer: A
Step-by-step explanation:
\(A_n=9+(n-1)*(-4)\\\\A_1=9+(1-1)*(-1)=9+0=9\\\\A_{n-1}=9+((n-1)-1)*(-4)\\\\A_n-A_{n-1}=9+(n-1)*(-4)-(9+(n-2)*(-4))=-4n+4+4n-8=-4\\\\\boxed{A_n=A_{n-1}-4}\\\\\\Answer\ A\)
Consider the distribution of exam scores graded 0 from 100, for 79 students. When 37 students got an A, 24 students got a B and 18 students got a C. How many peaks would you expect for distribution?
Answers
Answer:
Three
Step-by-step explanation:
Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores
Please help I’ll mark brainliest. Thank you :)
Answers
Answer:
Option B
Step-by-step explanation:
If it was a single reflection, it could not have be translated too.
Please actually mark me brainliest :)
Polygon Cand polygon D are similar. The perimeter of polygon C is 48 inches,
and the perimeter of polygon D is 12 inches. If one side of polygon C is 8
inches, what is the length of the corresponding side in polygon D?
OA. 32 in
OB. 8 in
C. 64 in
OD. 2 in
SUBMIT
Answers
option D is the correct answer. The length of the corresponding side in polygon D is 2 inches.
As it is given that the polygon is similar
That means that the ratio of the perimeter of the polygon will be equal to the ratio of the corresponding sides.
perimeter of polygon C/Perimeter of polygon D = side of C/side of D
⇒ 192/48=8/length of the corresponding side(let us consider x)
⇒ 192/48=8/x ⇒ x = 8*48/192 = 2 inches.
Hence, the length of the corresponding side in Polygon D is 2 inches.
Therefore, option D is the correct answer.
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If the production function is given by : Q = 4L +3L² +7L3 solve the following questions. then find marginal production function (MP). find marginal product when unit of labour is 6.
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When the unit of labor is 6, the marginal product is 796.
The marginal production function (MP) can be obtained by taking the derivative of the production function with respect to labor (L). In this case, the production function is Q = 4L + 3L² + 7L³. Taking the derivative of this equation with respect to L will give us the marginal production function.
The derivative of the production function with respect to L is MP = 4 + 6L + 21L².
To find the marginal product when the unit of labor is 6, we substitute L = 6 into the marginal production function:
MP = 4 + 6(6) + 21(6)²
= 4 + 36 + 21(36)
= 4 + 36 + 756
= 796.
In summary, the marginal production function is MP = 4 + 6L + 21L², and the marginal product when the unit of labor is 6 is 796. The marginal production function represents the additional output produced when one additional unit of labor is employed.
In this case, the marginal production function is a quadratic function with positive coefficients, indicating increasing returns to scale. The marginal product of labor represents the change in output resulting from a one-unit increase in labor input, given the level of other inputs.
When the unit of labor is 6, the marginal product is found by substituting L = 6 into the marginal production function, resulting in a value of 796. This means that when the firm employs an additional unit of labor (6th unit), the output increases by 796 units.
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a sugar dud has 30 less than twice as many calories as a krunchy krum if 5 sugar duds have the same number of calories as 8 krunchy krums how many calories are in each
Answers
Answer:
Step-by-step explanation:
8k, s = 8k/5, k = 5s/8 s = 2k - 30 s = 2 (5s/8) - 30
s=2k - 30
5s = 8k
5*(2k -30) = 8k
10k - 150 = 8k
2k = 150
k = 75, the number of calories in a krunchy krum. this makes s = 120 calories for a sugar dud
Item Measured Scale Reading (tons) Number of Items on the Scale Weight per Item (tons)
Raul and his friends
1
20
4
cars
7
8
2
baby elephants
ما | ط
001
goats
4
cow NIP
desks
1
32
Answers
Answer:
Plato Answer
Step-by-step explanation:
Find the value of p.
-25 = -4p + 19
Answers
4p= 19+25
2. Add 19 and 25
4p= 44
3. Divide by 4
p= 11
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
Answers
Factorise fully this 2x+8
Answers
Answer:
2(x+4)
Step-by-step explanation:
2x+8
Common factor = 2
2(x+4)
During a quality control check, a factory found that 5% of the parts it produces are defective. The factory recently completed an order for 144,000 parts. Approximately how many of the parts from the order may be defective?
Answers
The approximate number of defective parts the factory produced is 7200.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, During a quality control check, a factory found that 5% of the parts it produces are defective.
Let, 'x' be the number of defective parts.
Therefore, 'x' is 5% of 144000 which can be numerically expressed as,
(5/100)×144000.
= 5×1440.
= 7200.
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Answer this please
I really need a answer
Answers
Answer:
The answer is D
Step-by-step explanation:
Why
The board is originally 108 inches long when you cut it in half that makes it two different pieces
You would divide 108 by 2 and you get D
Hoped this helped
Find the center and radius of the circle represented by the equation below.
Answers
Answer:
centre = (5, - 6 ) , radius = 7
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )
x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )
x² - 10x + y² + 12y = - 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36
(x - 5)² + (y + 6)² = 49 = 7² ← in standard form
with centre (5, - 6 ) and radius = 7
Answer:
Center = (5, -6)
Radius = 7
Step-by-step explanation:
To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.
To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:
\(x^2-10x+y^2+12y=-12\)
Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:
\(x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2\)
Simplify:
\(x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2\)
\(x^2-10x+25+y^2+12y+36=-12+25+36\)
\(x^2-10x+25+y^2+12y+36=49\)
Factor the perfect square trinomials on the left side:
\((x-5)^2+(y+6)^2=49\)
The standard equation of a circle is:
\(\boxed{(x-h)^2+(y-k)^2=r^2}\)
where:
(h, k) is the center.r is the radius.Comparing this with the rewritten given equation, we get
\(h = 5\)\(k = -6\)\(r^2 = 49 \implies r=7\)Therefore, the center of the circle is (5, -6) and its radius is r = 7.
Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021, with interest paid semi-annually. Colah determined that it should account for the bonds as an available-for-sale investment. At December 31, 2021, the Jackson bonds had a fair value of $2,300,000. Colah sold the Jackson bonds on July 1, 2022 for $1,800,000.
Required:
1. Prepare Colah’s journal entries for the following transactions:
The purchase of the Jackson bonds on July 1.
Interest revenue for the last half of 2021.
Any year-end 2021 adjusting entries.
Interest revenue for the first half of 2022.
Any entries necessary upon sale of the Jackson bonds on July 1, 2022, including updating the fair-value adjustment, recording any reclassification adjustment, and recording the sale.
2. Complete the following table to show the effect of the Jackson bonds on Colah’s net income, other comprehensive income, and comprehensive income for 2021, 2022, and cumulatively over 2021 and 2022.
Answers
If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000
Credit Cash $2,000,000.
What is journal entry?Journal entry is used by companies to record their day to day business transaction.
July 1 2021
Debit Available-for-sale securities $2,000,000
Credit Cash $2,000,000
December 31 2021
Debit Cash $60,000
Credit Interest income $60,000
(6% ×$2,000,000 / 2)
December 31 2021
Debit Available-for-sale securities $300,000
Unrealized Gain - Other comprehensive income $300,000
($2,000,000 - $2,300,000)
June 30 2022
Debit Cash $60,000
Credit Interest income $60,000
(6% ×$2,000,000 / 2)
The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:
July 1 2022
Debit Available-for-sale securities $2,300,000
Unrealized Gain-Other comprehensive income account $300,000
Credit Cash $1,800,000
Credit Realized Loss on the sale of Available-for-sale securities $200,000
[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]
2. Table to show the effect of the Jackson bonds on Colah’s net income,
2021 2022 Total
Net Income $60 ,000 ($140,000) ($80,000)
( 60,000 - $200,000= -$140,000)
OCI $300,000 $300,000
Comprehensive Income $360,000 ($140,000) $220,000
Therefore the journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000
Credit Cash $2,000,000.
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\(a ^{2} - 3a + 2 = 0\)put into standard form. identify a,b, and c
Answers
Answer:
a=1,b=-3,c=2
Explanation:
The standard form of a quadratic equation is given as:
\(ax^2+bx+c=0\)Comparing with the equation:
\(a^2-3a+2=0\)We observe that the equation is already in the standard form.
Furthermore:
\(a=1,b=-3,c=2\)review the following credit terms and identify the one that states that the buyer will receive a 3% discount if the payment is made within 15 days. otherwise, full payment is expected within 45 days of the invoice date. multiple choice question. 3/10, n/45 3/15,45 3/15, n/45 3/45, n/15
Answers
The credit term 3/15, n/45 states that the buyer will receive a 3% discount if the payment is made within 15 days. Otherwise, full payment is expected within 45 days from the invoice date.
This term can be expressed as a formula and calculation as follows:
Discount = 3% of Invoice Total
Payment due within 15 days = Invoice Total - Discount
Payment due within 45 days = Invoice Total
For example, if the invoice total is $500, then the buyer will receive a 3% discount (Discount = 3% x $500 = $15) if the payment is made within 15 days. The payment due within 15 days is then equal to the invoice total minus the discount ($500 -$15 = $485). On the other hand, if the payment is not made within 15 days, the buyer is expected to pay the full invoice total within 45 days ($500).
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A polygon has 29 sides.
Work out the sum of its interior angles.
Answers
Answer:
29
Step-by-step explanation:
Answer:
n=29sides
sum of interior angle of polygon=(n-2)180=(29-2)180=27×180=4860°