√5 (6 - 4·√3) I need this simplified
Answers
Answer:
\(6\sqrt{5}-4\sqrt{15}\)
Step-by-step explanation:
\(\sqrt{5} \times (6 - 4\sqrt{3} )\)
\(\sqrt{5}\times 6-\sqrt{5}\times4\sqrt{3}\)
\(6\sqrt{5}-4\sqrt{5}\sqrt{3}\)
\(6\sqrt{5}-4\sqrt{5 \times 3}\)
\(6\sqrt{5}-4\sqrt{15}\)
Answer:
6\(\sqrt{5}\) - 4 \(\sqrt{15}\)
Step-by-step explanation:
1. Multiply each term in the parentheses by \(\sqrt{5}\)
2. calculate the product
3. solution :)
Related Questions
Please help Will give you the brainliest.
Answers
Answer: A.
Step-by-step explanation:
The names of the automobile manufacturer of the car that you drive is what type of variables ( scales of measurement)
Answers
The type of variable that represents the names of the automobile manufacturers would be the categorical variable.
What are variables in research work?A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.
There are various types of variables that include the following:
categorical variables.Nominal variables. Ordinal variables. Numeric variables. Continuous variables. Discrete variables.Learn more about variables here:
https://brainly.com/question/30292654
#SPJ1
At cycle and sport, customers can rent bikes, electric scooters, kayaks, canoes or paddleboards by the hour. Ari is renting a bike, meg is renting a electric scooter.
Answers
Answer:
Option A, 9b + 10s is correct
Step-by-step explanation:
The complete question is
At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s
Solution
The price of renting a bike for one hour is $9
The price of renting a scooter for one hour is $10
Given -
Ari rents a bike for b hours and Meg rents a scooter for s hours
Total cost of renting a bike is 9 * b
Total cost of renting a scooter is 10* s
The total cost of renting both the bike and scooter is
9b + 10s
Hence, option A is correct
Elijah bought earrings to give to his mother for her birthday. The earrings are in a case shaped like a rectangular prism that is 2 inches long, 1 1/2 inches wide, and 1 1/2 inches tall. He doesn't want his mother to guess what the gift is, so he put the case in a larger, cube-shaped gift box. The gift box is 4 inches along each edge.
What is the volume of the extra space left in the gift box?
Answers
Help please fast thank you
Answers
Answer:
if ur going left to right it would be d
Step-by-step explanation:
Monthly Customer Service (CS) Metrics Month Calls/Hr CS Score Job Sat. Esc. Res. 1 14,478 87% 82 11% 84% 2 14,123 87% 82 12% 91% 3 13,944 90% 85 14% 83% 4 12,138 91% 86 15% 91% 5 11,170 93% 88 11% 85% 6 10,773 95% 90 9% 92% *Monthly Goals: Calls per Hour (Calls/Hr) >= 13,500; Customer Service (CS) Score >= 86%; Job Satisfaction (Job Sat.) >= 84; Escalations (Esc.) <= 12%; Resolutions (Res.) >= 97% Question How does the average job satisfaction score compare to the goal? It is 2.4% lower than the goal It is 1.5% higher than the goal It is 1.8% higher than the goal It is 2.4% higher than the goal It is 7.1% higher than the goal
Answers
The average job satisfaction score is 1.5% higher than the goal.
To determine how the average job satisfaction score compares to the goal, we need to calculate the average job satisfaction score from the given data and compare it to the goal of 84%.
The average job satisfaction score can be calculated by taking the sum of the job satisfaction scores for each month and dividing it by the total number of months (6 in this case).
Sum of job satisfaction scores = 82 + 82 + 85 + 86 + 88 + 90 = 513
Average job satisfaction score = Sum of job satisfaction scores / Total number of months = 513 / 6 ≈ 85.5%
The average job satisfaction score is approximately 85.5%. Now we can compare it to the goal of 84%.
To calculate the difference between the average job satisfaction score and the goal:
Difference = Average job satisfaction score - Goal
Difference = 85.5% - 84% = 1.5%
Therefore, the average job satisfaction score is 1.5% higher than the goal.
To learn more about average here:
https://brainly.com/question/24057012
#SPJ4
Jenny’s grandmother is making a quilt for
her 18th birthday. When she ran out of
material she asked Jenny to go to the
store and pick up more patches.
She only had one square cut in half at the
diagonal, creating 2 equal triangles left.
Each triangle has an area of 0. 18 units.
What is the length of the side of the square?
Answers
The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
1 square = 2(areas of triangles)
1 square = 2(0.18)
1 square = 0.36 units²
s² = 0.36
s = √0.36
s = 0.6 unit.
Length of the side of the square = 0.6 unit.
Llearn more about area of a square on:
https://brainly.com/question/813881
#SPJ1
3. 2/6 points 1 Previous Answers DevoreStat9 3.E.074 My Notes Ask Your A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 90 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. () If 18 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation? O bx 10, 0.2) O h(x; 10, 18, 90) O nb(x; 10, 0.2) bx; 10, 18, 90) O hx; 10, 0.2) O nb(x; 10, 18, 90) (b) If there are 900 firms in the area, of which 180 are in violation approximate the pmf of part (a) by a simpler pmf O b(x; 10, 0.2) nb(x; 10, 180, 900) O hx 10, 180, 900) Ob(x 10, 180, 900) O mb(x: 10, 0.2) (c) For X = the number that are in violation among the 10 visited out of 900 firms, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b). (Round your answers to two decimal places.) Compute E(X) and V(X) for the exact pmf E(X)-1.20 ix0.19 Compute E(X) and V(X) for the approximating pmf Need Help? edTall to Tuiter Submit Answer Save ProgressPracice Another Version
Answers
(a) nb(x; 10, 18, 90) describes the probability of the inspector visiting a certain number of companies that are violating at least one regulation. (b) PMF of the number of companies the inspector visits and finds at least one violation using a simpler PMF, is nb(x; 10, 180, 900). (c) The simpler PMF's expected value (E(X)) is 1.20 and its variance (V(X)) is 0.14.
For part (a), the probability mass function (PMF) of the number of firms visited by the inspector that are in violation of at least one regulation is nb(x; 10, 18, 90).
For part (b), the PMF can be approximated by a simpler PMF of nb(x; 10, 180, 900).
For part (c), the expected value (E(X)) and variance (V(X)) for the exact PMF is E(X) = 1.20 and V(X) = 0.19. The expected value (E(X)) and variance (V(X)) for the approximating PMF is E(X) = 1.20 and V(X) = 0.14.
To know more about probability mass function refer here:
https://brainly.com/question/30070005#
#SPJ11
Find the area of the rectangle graphed below.
6
Area =
square units
Answers
Answer:
B*H
Step-by-step explanation:
Use the distance formula (you can look it up) and then multiply the longer side by the shorter side, thats it!
Are there more phones that have between 200 and 249 songs stored on them than have between 150 and 199 songs?
Answers
If there are 1,000 phones in total and 100 of them have between 200 and 249 songs while 600 of them have between 150 and 199 songs, then there are more phones with between 150 and 199 songs.
We cannot determine whether there are more phones that have between 200 and 249 songs stored on them than have between 150 and 199 songs without additional information.
For example, if there are 1,000 phones in total and 500 of them have between 200 and 249 songs while 200 of them have between 150 and 199 songs, then there are more phones with between 200 and 249 songs. However, if there are 1,000 phones in total and 100 of them have between 200 and 249 songs while 600 of them have between 150 and 199 songs, then there are more phones with between 150 and 199 songs.
To learn more about the integers;
brainly.com/question/1768254
#SPJ1
The function h is defined by the following rule .
h(x)=4x+1
Answers
answers :
-7
1
5
9
13
insert each number for the x value :]
20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
9. Which compound inequality represents the inequality 3|y + 7| − 16 > 5?
y + 7 < −7 OR y + 7 > 7
y + 7 > −7 AND y + 7 < 7
y + 7 < −7 AND y + 7 > 7
y + 7 > −7 OR y + 7 < 7
10. Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
$344.00
$34.40
$24.67
$68.80
Answers
Answer:
9) y>0 or y<−14 10) Each artwork sold for $34.4
Step-by-step explanation:
#9 is fairly easy, just plug in a calc and pull out ans.
#10 so he needs to make $300 + $44 in total to recover everything as he wants $300 more in profit. set up the equation:
$300 (Profit) + $44 (Initial) = 10 ( # of paintings) x (how much to be sold for
Derivations (20 marks): For each of the questions in this section provide a derivation. Other methods will receive no credit i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)
ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks) iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)
Answers
¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]
i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)
Proof:
1. ∃x(Fx & Gx) [Premise]
2. Fx & Gx [∃-Elimination, 1]
3. ∃xFx [∃-Introduction, 2]
4. ∃xGx [∃-Introduction, 2]
5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]
6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]
ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)
Proof:
1. ¬ 3x(Px v Qx) [Premise]
2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]
3. Vx ¬ Px [∀-Introduction, 2]
4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]
iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)
Proof:
1. ¬ Vx(Fx → Gx) v 3xFx [Premise]
2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]
3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]
4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]
5. Fx → Gx [Resolution, 3, 4]
6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]
Learn more about Derivations
brainly.com/question/30365299
#SPJ11
math lab assessment, due soon help
Answers
Answer:
Opposite of 7= -7
Step-by-step explanation:
please accept my apologies if i am incorrect.
-cookiebrookie♥️
At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-color dogs.
For every 1 brown dog, there are 2 ________? What?
Answers
Answer:
Black dogs
Step-by-step explanation:
The ratio of brown dogs to black dogs is 5:10, which simplifies to 1:2.
Answer:
the answer is black dogs
Step-by-step explanation:
5 is half of 10 and 1 and 2 are related via halfs so if brown dogs are 1 then black dogs are two. hope i helped pls mark me brainliest i just need one more please and thank you
The Adventures of Huckleberry Finn, written by Mark Twain, has an ISBN of 978-014243717a, where a is the check number. What is the check number? es A) 1 B) 4 D) 9 9
Answers
Answer: D. 9
Step-by-step explanation:
. If four players on the twenty-man baseball roster are left-handed, what
percent of the players are left-handed?
Answers
Answer:
20%
Step-by-step explanation:
4/20
20 x 5 = 100
4x 5 =20
20/100=20%
If you flip the coin 96 times,how many heads?
Answers
If this is a good coin meaning that the head has as many chances as being flipped as a tail then you can expect 48.
There are only two options per flip and thus both sides have an even chance of getting flipped. So each would have half the number of flips to be flipped.
Hope that helped!
Which best represents the expression
5
x
−
4
?
Answers
Algebraic expressions can be represented with words and vice versa.
The statement that can represent 5x - 4 is: 4 less than the product of 5 and a number
The expression is given as: 5x - 4
By analysis, we have:
5x represents the product of 5 and a number (x)-4 represents 4 less than.Hence, a statement that can represent the expression 5x - 4 is: 4 less than the product of 5 and a number
Read more about expressions at:
https://brainly.com/question/12354223
How do you calculate the axis of symmetry?
Answers
To calculate the axis of symmetry, you must first identify the shape of the figure in question. The calculation for finding the axis of symmetry is different for each shape.
Rectangle: In a rectangle, the axis of symmetry is the midline, which runs vertically through the center of the figure. To calculate the axis of symmetry, divide the width of the rectangle in half and draw a line from the midpoint of the top side to the midpoint of the bottom side.
Parallelogram: In a parallelogram, the axis of symmetry is also the midline, which runs vertically through the center of the figure. To calculate the axis of symmetry, divide the width of the parallelogram in half and draw a line from the midpoint of the top side to the midpoint of the bottom side.
Axis of symmetry is a straight line that separates a two-dimensional figure into two mirror-image halves. The line runs vertically through the center of the figure and can be found in a variety of shapes, including rectangles, parallelograms, and parabolas.
Here you can learn more about axis of symmetry
https://brainly.com/question/22495480#
#SPJ11
which graph could represent a function ? ?
Answers
Answer:
The third Graph
Step-by-step explanation:
Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Answer:
The third Graph
Step-by-step explanation:
HELPPP Paul is making two ceramic plates in his pottery class. One plate has a 20-centimeter diameter and a 62.8-centimeter circumference. A smaller plate has a radius of 5 centimeters. What is its circumference?
Answers
Answer:
It’s 2+2=x 3x3=18 that’s the answer
Step-by-step explanation:
14. How much interest will you earn if depositing $25,000 to grow continuously at 9%
interest rate for 12 years?
Answers
Answer:
Step-by-step explanation:
i think this is the answer
Find the derivative of the function. Simplify and express the answer using positive exponents only.
g(x) = (2x4 + 9)^2 (x3 − 7x)^3
Answers
Finally, we can simplify by combining like terms and expressing the answer using positive exponents only: g'(x) = 32x³(2x⁴ + 9)(x⁹ − 21x⁷ + 147x⁵ − 343x³ + 343x) + (2x⁴ + 9)²(117882x² - 588x³ + 686x)².
What is derivative?In calculus, the derivative is a mathematical concept that describes how a function changes as its input (also known as the independent variable) changes. It measures the rate at which the function is changing at a specific point, which is the slope of the tangent line to the curve of the function at that point. The derivative of a function f(x) is denoted as f'(x) or df(x)/dx and represents the instantaneous rate of change of the function with respect to its input x. The derivative can be used to find the maximum and minimum values of a function, to calculate the slope of a curve, and to solve optimization problems in various fields such as physics, engineering, and economics.
Here,
We will use the chain rule and product rule to find the derivative of the function g(x) = (2x⁴ + 9)²(x³ − 7x)³:
g(x) = (2x⁴ + 9)² (x³ − 7x)³
g'(x) = 2(2x⁴ + 9)¹(8x³)(x³ − 7x)³ + (2x⁴ + 9)²(3x²-7)(3x²-7x)²
Simplifying this expression gives:
g'(x) = 16x³(2x⁴ + 9)(x³ − 7x)³ + (2x⁴ + 9)²(3x²-7)(3x²-7x)²
We can further simplify this expression by distributing the factors and combining like terms:
g'(x) = 32x³(2x⁴ + 9)(x⁹ − 21x⁷ + 147x⁵ − 343x³ + 343x) + (2x⁴ + 9)²(117882x² - 588x³ + 686x)²
To know more about derivative,
https://brainly.com/question/25324584
#SPJ1
x divided by 4 = -7 What is x? Show your work
Answers
Step-by-step explanation:
Here's the answer hope it helps
7 kilogramos cuanto miligramos son
Answers
Answer:
7e+6
Step-by-step explanation:
7e+6 miligramos
She said I drove her away with my emotions
Answers
Q. The company you're interning at stores liquid in cylinder-shaped tanks, the smallest of
which are 10 feet in diameter and 30 feet high. How much liquid can a small tank hold if filled
completely full?
A. 471 cubic feet
B. 2355 cubic feet
C. 942 cubic feet
D. 9420 cubic feet
Answers
Answer:
the answer is B i hope this helps you
Determine the equation of the circle with center (9, —8) containing the point (1,7).
Answers
(x - 9)^2 + (y + 8)^2 = 17^2
Step by step solved:
The equation of a circle with center (a,b) and radius r is given by:
(x - a)^2 + (y - b)^2 = r^2
We are given the center of the circle as (9, -8), and we know that it contains the point (1,7). Let's call the radius of the circle r.
Substituting the given values into the equation, we get:
(1 - 9)^2 + (7 - (-8))^2 = r^2
(-8)^2 + (15)^2 = r^2
64 + 225 = r^2
289 = r^2
r = √289
r = 17
Therefore, the equation of the circle is:
(x - 9)^2 + (y + 8)^2 = 17^2
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
A. Y-68=-5(x-14) B. Y+68=5(x+14) C. Y+68=-5(x-14) D. Y+68=5(x-14)
Answers
Answer:
A. Y-68=-5(x-14)
Step-by-step explanation:
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
We find the equation using the point slope equation of a line. This is given as:
y - y1 = m(x-x1)
The slope intercept form will be
y = -5x + b
since the amount decreases by $5 per day...
Our slope is -5 so m=-5
We have a point (x1,y1) = (14, 68)
Hence, we have:
y-68 = -5(x-14)
Option A is correct