The approximate measure of angle YZX is 39.4°.
To find the approximate measure of angle YZX in the right triangle XYZ, we can use trigonometric ratios. In this case, we can use the tangent ratio, which is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side.
Tangent of angle YZX = Opposite / Adjacent
Opposite side = XY = 12.4 cm
Adjacent side = YZ = 15.1 cm
Tangent of angle YZX = XY / YZ
Tangent of angle YZX = 12.4 / 15.1
Now, we can find the angle YZX by taking the inverse tangent (arctan) of the above ratio:
Angle YZX = arctan(12.4 / 15.1)
Using a calculator, we find that arctan(12.4 / 15.1) is approximately 39.4°.
Therefore, the approximate measure of angle YZX is 39.4°.
Learn more about triangle here:
https://brainly.com/question/30104125
#SPJ8
Simplify. Write your answer in standard form.
4n (3n^(2) + n - 4) - n (3 - n)
Please explain your steps when solving the equation:
-3b + 6 = 18
Answer:
b=-4
Step-by-step explanation:
-3b+6=18
-3b=12 (subtracted 6 from both sides)
b=-4 (divided both sides by -3)
helpp ill mark u as brain list
Answer:
D
C
Step-by-step explanation:
Please help! A six-pack of soda is on for $2.46. Find the cost of one can of soda and drop the appropriate value into the answer blank.
Answer:
0.41 cents
Step-by-step explanation:
2.46/6 = 0.41
-7x - 5x + 8 = -16 Simplify and show work
Answer:
x=2
Step-by-step explanation:
-7x-5x+8=-16
-12x=-8-16
-12x=-24
x=2
Answer:
X=2
Step-by-step explanation:
-7x - 5x + 8 = -16
-12x = -24
x=2
What is the slope from the following equation?
52x - 620 = y
Answer:
m=52
Step-by-step explanation:
For the vectors u = (-4,-1) and v= (1,3), express u as the sum u=p+n, where p is parallel to v and n is orthogonal to v. + 7 21 33 11 u=p+n= 10 10 10 10 (Type integers or simplified fractions. List the terms in the same order as they appear in the original list.)
The vector u can be expressed as a sum of n and p when n= (-33/10, 11/10) and p= (-7/10, -21/10).
To find the vector p that is parallel to v, we need to project u onto v. We can use the formula for projection:
p = (u . v) / (||v||^2) * v
where . represents dot product and ||v|| represents the magnitude of v.
First, we need to find the dot product of u and v:
(-4,-1) . (1,3) = -4*1 + -1*3 = -4 + -3 = -7
Next, we need to find the magnitude of v:
||v|| = sqrt(1^2 + 3^2) = sqrt(1 + 9) = sqrt(10)
Then, we can plug these values into the projection formula:
p = (-7) / (sqrt(10))^2 * (1,3) = (-7/10) * (1,3) = (-7/10, -21/10)
So the vector p that is parallel to v is (-7/10, -21/10)
To find the vector n that is orthogonal to v, we can subtract p from u:
n = u - p = (-4,-1) - (-7/10, -21/10) = (-4 + 7/10, -1 + 21/10) = (-33/10, 11/10)
Read more about Vectors:
https://brainly.com/question/13322477
#SPJ4
What is (3 x 10^3) / (12 x 10^6)
Answer:
(3 x 10^3) / (12 x 10^6) = 0.00025
Which expression represents a difference of squares? A. 4x2 − 16x B. t2 + 100 C. 25k − 64 D. 81 − 49y2
Answer:
I believe it would be C, not 100% sure though
Answer:
81-49y^2
Step-by-step explanation:
if 4 times a number is increased by 6, the result is less than 15 than the square of the number. find the number
Answer:
n = 7
n = -3
Step-by-step explanation:
4n+6 = n²-15
4n = n² - 21
n² - 4n - 21 = 0
(n-7)(n+3) = 0
n = 7
n = -3
What is the function of rational root theorem?
A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.
A polynomial expression is given and after solving them we get the two values known as the roots of the function.
These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .
We should use the rational root theorem only when the value of coefficients are small.
The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,
p is an integer factor of the constant term a0, and
q is an integer factor of the leading coefficient an.
Read more on rational root theorem
brainly.com/question/10937559
#SPJ4
Can someone plz help
ella bought 2.7 yards of fabric for $3 per yard how much did she spend
Answer:
$8.10
Step-by-step explanation:
You can just multiply how many yards she bought by the price per yard.
3×2.7=
$8.10
She spent 8 dollars and 10 cents.
City A has a travel demand function q=3.0×106−4000t, and road performance function t1=30+6×10−6q, where t is in minutes. There is a proposal to expand the road such that the road performance function will become t2=20+3×10−6q, with a construction cost of $9.6×107 Q9.1: Given that the value of time is $1.5 per minute, justify the proposal. Q9.2: To what value of the construction cost would the proposal become justified?
Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.
First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1 = 30 + 6×10−6q and t2 = 20 + 3×10−6q. By subtracting t2 from t1, we can determine the time savings: Δt = t1 - t2 = (30 + 6×10−6q) - (20 + 3×10−6q) = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time
= (10 + 3×10−6q) × q × $1.5 If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.
Learn more about total time savings here: brainly.com/question/33195786
#SPJ11
Which is the best estimate of the difference between 6 7/8 and 2 1/8?
A. 1
B. 3
C. 5
D. 8
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Question 11
1 pts
In Rodger's state, unemployment compensation is calculated by finding the total of the
quarterly wages of two consecutive quarters and dividing by 26. The weekly
unemployment is 65% of that amount. In the quarter including January, February, and
March, Rodger made a total of $13,950.80. In the quarter including April, May, and
June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.
Rodger's weekly unemployment amount is $697.54
What is the total of the quarterly wages of two consecutive quarters?
The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages
total of quarterly wages=$13,950.80+$13,950.80
total of quarterly wages=$27,901.60
unemployment compensation=total of quarterly wages/26
unemployment compensation=$27,901.60 /26
unemployment compensation=$1,073.14
The weekly unemployment amount is 65% of Rodger's state, unemployment compensation
weekly unemployment=65%*$1,073.14
weekly unemployment=$697.54
Find out more about unemployment compensation on:https://brainly.com/question/26107036
#SPJ1
You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a luncheon at $800. What does your price need to be to get customers to try your business? a) $160 b) $640 c) $800 d) $850
Answer:
b) $640
Step-by-step explanation:
Competitor's price = $800
Price, 20% below of competitor's:
$800 - 20% = $800*(100-20)/100 =$800*0.8 = $640Correct answer choice is b) $640
The ratio of the width to
the length of a rectangle is 4:15
. If the perimeter of the
rectangle is 152 meters, find
The area of the rectangle.
Answer:
If The ratio of the width to
the length of a rectangle is 4:15
let width is 4x
let length is 15x
perimeter of the rectangle = 2(length + width)
= 2(15x + 4x)
= 2(19x)
=38x
If the perimeter of the rectangle is 152 meters.
152 = 38x
x= 152/38
x = 4
so,
width is 4x = 4(4) = 16m
length is 15x = 15(4) = 60m
The area of the rectangle = length. width
= 60m.16m
= 960 m^2
Step-by-step explanation:
If m is the number of magic markers,which variable expression represents the phrase
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…
⊹˚ʚ ❑Answer︰D.m-7
⊹˚ʚ ❑Explanation︰subtracting two numbers gives you their difference
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
Which is the solution set of this equation? |x – 6| = 15 A. {-9, 21} B. {-15, 15} C. {9, 21} D. {-9, -21} E. {-6, 6}
Answer:
A. -9, 21
Step-by-step explanation:
Use m.a.t.h.w.a.y and you will get the answer!
Answer:
A
Step-by-step explanation:
| x-6| = 15 , check if this is true for the given x values
for x= -9 we have | -9-6| = 15 true
for x= 21 we have | 21 -6| = 15 true
so A is a solution set
for x= -15 we have | -15-6| = 15 false
so B is not a solution set
for x= 9 we have | 9-6| = 15 false
so C is not a solution set
for x= -9 we have | -9-6| = 15 true
for x= -21 we have | -21-6| = 15 false
so D is not a solution set
for x= -6 we have | -6-6| = 15 false
so E is not a solution set
10-
9
8
7
6
654321
AJ
B
1 2 3 4 5 6 7 8 9 10
a) What are the coordinates of A?
b) What are the coordinates of B?
X
The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).
How to find the coordinatesIf M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.
You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).
Learn more about coordinate on;
https://brainly.com/question/17206319
#SPJ1
Find the coordinates of B when it is given that A(5,-2) and M(12,6),
Complete this statement with an expression in terms of m. 18m^3 + 9m^2 + 4m + 7 = (9m^2 + 7) (...........................)
Step-by-step explanation:
18m^3+ 9m^2 + 4m + 7=(9m^2 + 7)
18m^3+9m^2+4m+7=9m^2 + 7
18m^3+9m^2+4m+7-7=9m2+7-7
18m^3+9m^2+4m=9m^2
18m^3+9m^2+4m-9m^2-9m^2
18m^3+4m=0
factor 18m^3+4m:. 2m(9m^2+2)
2m (9m^2+2)=0
using the zero factor principle: if an=0 then a=0 or b=0
m=0 or 9m^2+2=0
solve 9m^2+2=0:. m= i√2 m= -i√2
__, __
3 3
The solutions are:
m=0, m= i√2 m= -i√2
__, __
3 3
please Mark me as brainliest
Un granjero tiene para vender 1800 pollo primero vende 2/5 del total luego los 5/6 del resto y si se mueren 37 pollo¿ ¿cuantos pollos le quedan todavia?
Based on the mentioned informations, the farmer is calculated to have 143 chickens left after selling 2/5 and 5/6 of the initial 1800 chickens and 37 chickens died.
The farmer starts with 1800 chickens.
He sells 2/5 of the total, which is:
(2/5) x 1800 = 720 chickens.
So he has 1080 chickens left.
He then sells 5/6 of the remaining chickens, which is:
(5/6) x 1080 = 900 chickens.
So he has 180 chickens left.
Unfortunately, 37 chickens die, so the final number of chickens he has left is:
180 - 37 = 143 chickens.
Therefore, the farmer has 143 chickens left after selling 2/5 and 5/6 of the initial 1800 chickens and 37 chickens died.
Learn more about selling price :
https://brainly.com/question/27796445
#SPJ4
The complete question is :
A farmer has to sell 1800 chickens, first he sells 2/5 of the total, then 5/6 of the rest and if 37 chickens die, how many chickens does he still have left?
a patient is admitted to the hospital because of vomiting that has lasted 3 days despite minimal intake and severe abdominal distention and pain. which intervention should the nurse perform first?
In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.
Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.
In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.
To know more about abdominal distention visit:
brainly.com/question/31710045
#SPJ11
A ballet school wants to buy new slippers for students in a class. They collected the sizes and displayed them in a line plot.
A horizontal number line starting at 3.5 with tick marks every 0.5 units up to 8. The following values are labeled: the value of 4 has two dots, the value of 4.5 has one dot, the value of 5 has one dot, the value of 6 has 2 dots, the value of 6.5 has one dot, the value of 7 has one dot, and the value of 7.5 has one dot. The image is titled Ballet Shoe Sizes.
What is the range, and what does it mean in terms of this data set?
The range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
What is range?The difference between the highest and lowest values for a given data collection is the range in statistics.
In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. It indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations.
The range is the difference between the largest and smallest values in a data set.
For the given data, the largest value is 8 and the smallest value is 3.5.
Thus,
range = 8 - 3.5 = 4.5.
Hence, the range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
Learn more about range here:
https://brainly.com/question/28135761
#SPJ1
Answer:
Step-by-step explanation:The range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
37:53 Bok Suppose that x has a binomial distribution with n=202 and p= 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal place
The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.
To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.
Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:
µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)
σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)
Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:
\(P(x) = C(n, x) * p^x * (1 - p)^{n - x}\)
Substituting the values, we have:
\(P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}\)
Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).
Finally, if we want to calculate the z-score for a given value of x, we can use the formula:
z = (x - µ) / σ
For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).
In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.
To learn more about Standard deviation, visit:
https://brainly.com/question/475676
#SPJ11
The 1st one was doable, but I don't understand the 2nd Question.
Answer: ? What are you talking about?
Step-by-step explanation:
Jerome walks 90 feet from the base of a tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree?
The height of the tree is approximately 156.7 feet.
What is Trigonometry?
Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
The height of the tree can be calculated using trigonometry.
Let's call the height of the tree "h".
Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:
tan(33°) = h / 90
Solving for h, we get:
h = 90 * tan(33°)
Using a calculator to find the value of tan(33°), we get:
h = 90 * 1.730
h ≈ 156.7 feet
So, The height of the tree is approximately 156.7 feet.
To know more about Trigonometry visit,
https://brainly.com/question/13729598
#SPJ1
this visual representation shows the sets of real numbers. which statement is true regarding the number sets? integers and rational numbers have no numbers in common. integers and rational numbers have no numbers in common. all rational numbers are also integers. all rational numbers are also integers. some integers are also rational numbers, but not all integers are rational numbers. some integers are also rational numbers, but not all integers are rational numbers. all integers are also rational numbers.
The statement "some integers are also rational numbers, but not all integers are rational numbers" is true regarding the number sets.
To understand the relationship between integers and rational numbers, it's important to understand the definitions of each set:
Integers: Integers are whole numbers (both positive and negative) and zero, without any fractional or decimal parts.
Rational numbers: Rational numbers are numbers that can be expressed as a fraction (ratio) of two integers, where the denominator is not zero.
Based on these definitions, we can conclude that:
All integers are rational numbers because they can be expressed as a fraction with a denominator of 1. For example, 3 can be written as 3/1, -5 can be written as -5/1, and 0 can be written as 0/1.
However, not all rational numbers are integers. Rational numbers include fractions, decimals that terminate, and decimals that repeat. These numbers may have a numerator and denominator that are not equal to 1. For example, 1/2, -3/4, and 0.25 are rational numbers, but they are not integers.
The statement "some integers are also rational numbers, but not all integers are rational numbers" is true. While all integers are rational numbers, not all rational numbers are integers.
To know more about rational numbers visit
https://brainly.com/question/22221295
#SPJ11
Select all of the coefficients in the expression. 12xy3 2x5y 4x5y2 7x5y. 2 3 4 5 7 12
Answer:
Select all of the coefficients in the expression. 12xy^3+ 2x^5y +4x^5y^2 +7x^5y.
If we take an equation like 2xyz = 0 then,
The coefficient of x in 2xyz is term that is multiplied by x. so here the coefficient of x will be 2yz.
So here in the equation 12xy^3 +2x^5y +4x^5y^2 +7x^5y = 0 the coefficients will be:
First we take the common factor form the equation:
So we get form the equation is as ;
= xy * (12y^2 + 2x^4 + 4x^4y + 7x^4) so this basically represents multiplicative distribution law
if we simplify using exponent rule with same base
a^n . a^m = a^n+am
That is 12xy^(2+1) + 2x(4+1)y + 4x(4+1)y(1+1) + 7x(4+1)y
so,
12xy^3 +2x^5y +4x^5y^2 +7x^5y = 0
xy * (12y^2 + 2x^4 + 4x^4y + 7x^4) =0
So the coefficients are : xy and (12y^2 + 2x^4 + 4x^4y + 7x^4)
Know more about “coefficients in the expression” here: https://brainly.com/question/28316633
#SPJ4
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Select all of the coefficients in the expression. 12xy^3+ 2x^5y +4x^5y^2 +7x^5y.
The coefficient in the expressions 12xy³, 2x⁵y, 4x⁵y² and 7x⁵y. will be 12, 2, 4 and 7 respectively.
We are given the expressions:
12xy³
2x⁵y
4x⁵y²
7x⁵y.
We need to identify the coefficients for the expression.
For the expression 12xy³, the coefficient will be 12 as it is the numerical value written with the variable.
Similarly, for the expression 2x⁵y , the coefficient will be 2 for the variable x⁵y.
For the expression 4x⁵y², the coefficient will be 4 for the variable x⁵y².
For the expression 7x⁵y, the coefficient will be 7 for the variable x⁵y.
Therefore, we get that, the coefficient in the expressions 12xy³, 2x⁵y, 4x⁵y² and 7x⁵y. will be 12, 2, 4 and 7 respectively.
Learn more about coefficients here:
https://brainly.com/question/4219149
#SPJ4