Answer:
The Answer is the first option
Step-by-step explanation:
If you take the 3x-4>5
than: 3x>5+4
3x>9
x>9/3
x>3
What is the vertex on the graph of the absolute-value parent function?
Answer:
The highest or the lowest point on the graph is the vertex of an absolute-value function!
Step-by-step explanation:
Find the product.
(2xyz) (-4x2yz)
PLEASE HELP!!! ASAP!!!
Answer:
[tex]-16x^{2} y^{2}z^{2}[/tex]
Step-by-step explanation:
Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get [tex]-16x^{2} y^{2}z^{2}[/tex].
Answer:
Your correct answer is = −16y2z2
Solve by completing the square: x^2+4x-5
Answer:
(x + 2)^2-9
How to find answer:
Use the formula (b/2)^2 in order to complete the square.
Hope this helps :)
En un colegio, dos séptimos de total de los estudiantes asisten al taller de escultura, un décimo al taller de guitarra y dos quintos al taller de computación. ¿Qué fracción del total de los estudiantes no asiste a estos talleres?
Answer:
3/14
Step-by-step explanation:
En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.
Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.
Matemáticamente eso sería;
1- (2/7 + 1/10 + 2/5)
Agregando los términos en el paréntesis, tenemos;
(20+ 7 + 28) / 70 = 55/70 = 11/14
Restando esto de 1, tenemos; 1-11 / 14 = 3/14
2 + 2 Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
1. How many terms are in the polynomial?
2. What is the degree of the polynomial?
3. How would you classify the polynomial?
Answer:
Step-by-step explanation:
A term, loosely defined, is a product of numbers and variables. Terms are separated from one another with a + or a - sign. So we have 2 terms here.
The degree of the polynomial, because it is just in terms of x and no other variable, is the highest degree'd term. Our highest degree of x is 3, so this is a third degree polynomial.
It is classified by its number of terms:
1 term is a monomial, 2 terms is a binomial, 3 is a trinomial, and anything higher is just called a "polynomial". This has 2 terms so it is a binomial.
The answer is:
⇨ a third-degree binomial.Work/explanation:
Here's how we classify polynomials based on the number of terms:
monomial - has only one term
binomial - has two terms
trinomial - has three terms
polynomial - has four terms or more
As for degrees, those are the highest exponents the polynomial.
Now, [tex]\sf{14x^3+x^2}[/tex] has 2 terms so it's a binomial; the highest exponent is 3.
Hence, this is a third-degree binomial.I really need help with this question, and I would really appreciate it! I will mark brainliest!
Answer:
These are two equilateral triangles and all the sides of an equilateral triangle are equal. The question even says so so that's the answer, all the sides of the equilateral triangles are equal so all the sides equate to each other
Find the measure of AngleJ, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
Answer:
34°
Step-by-step explanation:
The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.
a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A
Solving for the angle, we get ...
A = arccos((b² +c² -a²)/(2bc))
Filling in the numbers with "a" being the shortest side, we have ...
A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)
A ≈ 34.113°
The smallest angle, ∠J, is about 34°.
Answer:
b
Step-by-step explanation:
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit
Answer:
25 students
Step-by-step explanation:
What we need to do here is to do some tracing. We simply need to go to the point on the concert band where we have the value 35.
After sighting this value, we then make a tracing to the line of best fit. Then from this line of best fit, we trace the point on the matching band that correlated with the value 35.
If properly traced, we would arrive at a value of 25 on the marching band
Please Help!!!
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
A: 10
B: 15
C: 100
D: 150
Answer:
The correct answer is A: 10
Step-by-step explanation:
We know that for Dance World the equation is y=15x and for Toe Tapper it is y=25+12.5x
Make a chart with both dance companies and compare the solutions to each equation. Like the one below.
Dance World / Toe Tappers
A:10 $150 / $150
B:15 $225 / $212.5
C:100 $1500 / $1275
D:150 $2250 / $1900
In conclusion, A:10 is the correct answer as both dance companies cost the same for 10 classes.
Sorry if this is really late, this is for the people who have the same question and need an answer too.
Answer:
A 10
Step-by-step explanation:
Set the equations equal to each other:15x = 25 + 12.5x
Solve for x2.5x = 25
x= 10
Please can someone help me with this
Answer:
[tex]\boxed{V = 434.9 \ cm^3 }[/tex]
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4.7 cm
V = [tex]\frac{4}{3} (3.14)(4.7)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(103.8)[/tex]
V = [tex]\frac{1304.7}{3}[/tex]
V = 434.9 cm³ (Up to 1 dp)
Answer:
Step-by-step explanation:
4/3×22/7×4.7^3=435.1cm
Which of the following is NOT a trig function OR an inverse? a COT b TON c SIN d COS
Answer:
B
Step-by-step explanation:
A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.
I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.
Looking at all of the options, only TON does not fit the bill, so that's the answer.
Explain PLEASE:
The legs of a right triangle are lengths x and x√3. The cosine of the smallest angle of the triangle is _____.
a. 1/2
b. √3
c. √3/2
d. 2√3
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
The quickest way to solve this is to recognize this as a 30-60-90 triangle. The smallest angle is 30 degrees, and the answer is simply cos 30º.
You can also use the pythagorean theorem to find the length of the hypotenuse, then use SOH-CAH-TOA to get the answer.
find the equation of the circle whose center and radius are given center (7,3) radius =7
Answer:
[tex](x-7)^2+(y-3)^2=7^2[/tex]
Step-by-step explanation:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}\\[/tex]
Thus,
[tex](x-7)^2+(y-3)^2=7^2[/tex]
Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D
Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D
A;- Marx and Engels believed that the capitalist system should be destroyed.
Plz Help, and solve. Show your work. I will give Brainliest. A - 7 = -13 solve and show your work 10X - 8 = 9X + 8 Can a right triangle have sides that measure 12, 16, and 20? Show your work and answer.
Answer:
A - 7 = -13
Add 7
A = -6
10X - 8 = 9X + 8
Add 8
10X = 9X + 16
Subtract 9X
X = 16
In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2
Thus, plug in the values.
12^2+16^2=20^2
144+256=400
400=400.
Because the equation is true, 12, 16, and 20 can be a right triangle
Hope it helps <3
Answer:
For the first question/equation, A=-6. You can just add seven on both sides.
A-7+7=-13+7 A=-6
For the second question, X=16. You can minus 9x on both sides, then plus 8 on both sides. 10X-9X-8+8=9X-9X+8+8=X=16
For the last one, yes, it can because of 12^2+16^2=20^2. Which simplified is . 144+256= 400. So, yeah. It can be a right triangle.
Endpoint 1: (-1,2)
Midpoint: (9,-6)
Endpoint 2=
Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate.
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
~
PLEASSSSEEE HELP ! what number belongs in the box ? y=200+ ? x
Answer:
10
Step-by-step explanation:
It's the $10 that is to be added to the cost for each produced item.
Find the complex fourth roots of 81(cos(3π/8)+isin(3π/8)). a) Find the fourth root of 81. b) Divide the angle in the problem by 4 to find the first argument. c)Use the fact that adding 2π to the angle 3π/8 produces the same effective angle to generate the other three possible angle for the fourth roots. d) Find all four of the fourth roots of 81(cos(3π/8)+isin(3π/8)). express your answer in polar form.
Answer:
The answer is below
Step-by-step explanation:
Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:
[tex]z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1[/tex]
Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:
[tex]z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\[/tex]
[tex]z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})][/tex]
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
A city counsel has a square lot to place a playground. They plan to place a diagonal of trees to create two distinct play areas. To determine if there is enough money in the budget, they needs to know the distance. If the length of each side of the lot is 45 m, how long is the diagonal?
Answer:
66.63
Step-by-step explanation:
To find the diagonal length, use Pythagorean’s theorem.
Diagonal = √45^2 + 45^2 = √2025+2025 = √4050 = 63.63.
Hope this helps
Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?
Answer:
A. 3 Days
Step-by-step explanation:
Just took the test hope this helps :)
Answer:
the answer on edge is A.3
Hey, I need help.
A school has 486 students, and this is an 8% increase from the number of students last year. How many students were in school last year?
Please also show working out, thanks :)
486 ÷ 108
4.5 x 100
450 were there last year
Answer:
The answer is 450Step-by-step explanation:
Let the original number of students be x
Since the number of students increased by 8% we add 8% to 100% making it 108%
108% of the original number of students gave us 486
So we have
108% of x = 486
108 / 100 × x = 486
Multiply through by 100
108x = 48600
Divide both sides by 108
x = 450
So the number of students in the school last year was 450
Hope this helps you
Please answer this in two minutes
Answer:
x = 5.7 units
Step-by-step explanation:
By applying Sine rule is the triangle XYZ,
[tex]\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}[/tex]
[tex]\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}[/tex]
[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}[/tex]
[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}[/tex]
[tex]x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}[/tex]
x = 5.69
x ≈ 5.7 units
12x+40=15x+25 solve for x
Answer:
5 = x
Step-by-step explanation:
12x+40=15x+25
Subtract 12x from each side
12x-12x+40=15x-12x+25
40 = 3x +25
Subtract 25 from each side
40-25 = 3x+25-25
15 =3x
Divide by 3
15/3 =3x/3
5 = x
Answer:
x=5
Step-by-step explanation:
12x+40=15x+25
12x=15x-15
12x=15x-15-15x
-3x=-15
-3x=-15 divide both by -3
answer is 5
Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 98% confidence interval estimate of the population standard deviation. 65 62 62 55 62 55 60 59 60 70 61 68
The confidence interval estiamte it __mi/h< o <__mi/h
Answer:
3.0 mi/h < σ < 8.54 mi/h
Step-by-step explanation:
Given:
Sample data: x: 65 62 62 55 62 55 60 59 60 70 61 68
Confidence = c = 98% = 0.98
To find:
Construct a 98% confidence interval estimate of the population standard deviation.
Solution:
Compute Mean:
number of terms in data set = n = 12
Mean = Sum of all terms / number of terms
= 65 + 62 + 62 + 55 + 62 + 55 + 60 + 59 + 60 + 70 + 61 + 68 / 12
= 739/12
Mean = 61.58
Compute standard deviation:
s = √∑(each term of data set - mean)/ sample size - 1
s = √∑([tex]_{x-} {\frac{}{x} }[/tex])²/n-1
= √( 65 - 61.58)² + (62 - 61.58)² + (62 - 61.58)² + (55 - 61.58)² + (62 - 61.58)² + (55 - 61.58)² + (60 - 61.58)² + (59 - 61.58)² + (60 - 61.58)² + (70 - 61.58)² + (61 -61.58)² + (68 - 61.58)² / 12-1
= √(11.6964 + 0.1764 + 0.1764 + 43.2964 + 0.1764 + 43.2964 + 2.4964 + 6.6564 + 2.4964 + 70.8964 + 0.3364 + 41.2164) / 11
= √222.9168/11
= √20.2652
= 4.50168
= 4.5017
s = 4.5017
Compute critical value using chi-square table:
For row:
degree of freedom = n-1 = 12 - 1 = 11
For Column:
(1 - c) / 2 = (1 - 0.98) / 2 = 0.02/2 = 0.01
1 - (1 - c) / 2 = 1 - (1-0.98) / 2 = 1 - 0.02 / 2 = 1 - 0.01 = 0.99
[tex]X^{2} _{1-\alpha/2}[/tex] = 3.053
[tex]X^{2} _{\alpha/2}[/tex] = 24.725
Compute 98% confidence interval of standard deviation:
[tex]\sqrt{\frac{n-1}{X^{2} _{\alpha/2}} } s[/tex] = [tex]\sqrt{\frac{12-1}{24.725} } ( 4.5017)[/tex] = [tex]\sqrt{\frac{11}{24.725} } ( 4.5017)[/tex] = [tex]\sqrt{0.44489}(4.5017)[/tex]
= 0.6670 (4.5017) = 3.0026
[tex]\sqrt{\frac{n-1}{X^{2} _{\alpha/2}} } s[/tex] = 3.0026
[tex]\sqrt{\frac{n-1}{X^{2} _{1-\alpha/2}} } s[/tex] = [tex]\sqrt{\frac{12-1}{3.053} } ( 4.5017)[/tex] = [tex]\sqrt{\frac{11}{3.053} } ( 4.5017)[/tex] = [tex]\sqrt{3.6030} (4.5017)[/tex]
= 1.8982 ( 4.5017) = 8.5449
[tex]\sqrt{\frac{n-1}{X^{2} _{1-\alpha/2}} } s[/tex] = 8.5449
3.0026 mi/h < σ < 8.5449 mi/h
Sara needs to pack 108 stalks of roses, 81 stalks of lilies, and 54 stalks of orchids into identical baskets so that each type of flower is equally distributed among the baskets. Find the largest number of the basket that can be packed
Answer:
54
Step-by-step explanation:
There are 108 roses, 81 lilies and 54 orchids.
The problem is asking that every basket contain the same number for that type of flower.
So if I put one of each flower in each basket, I will get 54 baskets at the most.
Sounds correct to you?
An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week, working as a civil servant. What is the regular time hourly rate of pay for this employee, and what is her total income in a month where she works 40 hours, 44 hours, 43.5 hours, and 40 hours, weekly, in the month?
A.$37.00/hr and \$6,336.25 in total income
B. $35.50/hr and \$6,079.38 in total income
C.$37.50/hr and \$6,421.88 in total income
D.$36.00/hr and \$6,165.00 in total income
Answer:
B. $35.50/hr and \$6,079.38 in total income
Step-by-step explanation:
Given the following :
Total regular pay earning for the year = $73,840
Let basic salary = b
Overtime = 1.5b
Regular earning per week :
Regular year earning / number of weeks per year
$73840 / 52 = $1420
Regular hours = 40
Regular earning per week = $1420
Regular earning per hour = $1420 / 40
Regular earning per hour = $35.50
Number of overtime hours :
4 hours + 3.5hours = 7.5hours
Overtime pay per hour = 1.5 * regular earning
Overtime pay per hour = 1.5 * 35.5 = $53.25
Total overtime pay = Overtime pay per hour * Number of overtime hours
Total overtime pay = $53.25 * 7.5
Total overtime pay = 399.375
Total pay for the month :
160 regular hours + 7.5 overtime hours
(160 * 35.5) + $399.375
$5,680 + 399.375 = $6,079.375
= $6,079.38
John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink
Answer:
cost of one drink: $1.70
Step-by-step explanation:
P = price of pizza
L = Price of each large drink
Gift certificate discount =$ 7
Net paid= $12.10
P +3L -7 = 12.10
14 +3L -7 =12.10
7+3L =12.10
3L = 12.10 -7 = 5.10
L = $1.70 for each large drink
hopefully this helped :3
Answer: The equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .
Step-by-step explanation:
As given
John and 2 friends are going out for pizza for lunch.
They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.
let us assume that the numbers of large drinks are represented by d .
Than the equation becomes
Total money spend = Number of drinks × d + Pizza cost - Gift certificate amount .
Putting all the values in the above
12.10 = 3d + 14.00 - 7.00
Simplify the aboves
12.10 = 3d + 14 - 7
12.10 = 3d + 7
12.10 - 7 = 3d
5.1 = 3d
d = $ 1.7
Therefore the equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .
Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains