Answer:
[tex]15-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}[/tex]
pleeeeeeeeeeeeeeeeeeeeeeeeease i need help urgently
List the discontinuities for the function f(x) = cot( 5x/3 ).
Answer:
[tex]x=\frac{3\pi n}{5}[/tex]
Step-by-step explanation:
We know that [tex]cot(\frac{5x}{3})=\frac{cos(\frac{5x}{3})}{sin(\frac{5x}{3})}[/tex], so [tex]cot(\frac{5x}{3})[/tex] is undefined where [tex]sin(\frac{5x}{3})=0[/tex]:
[tex]sin(\frac{5x}{3})=0\\\\\frac{5x}{3}=\pi n\\\\5x=3\pi n\\\\x=\frac{3\pi n}{5}[/tex]
So, the discontinuities for the function [tex]f(x)=cot(\frac{5x}{3})[/tex] are where [tex]x=\frac{3\pi n}{5}[/tex] with [tex]n[/tex] being any integer.
ерес The amount of money in an investment is modeled by the function A(t) = 700(0.8353)'. The variable A represents the investment balance in dollars, and t the number of years since 2001. (A) In 2001, the balance was $ 700 (B) The amount of money in the investment is Select an answer Porr ra (C) The annual rate of change in the balance is 0 %. Enter an integer or decimal nimber more. (D) In the year 2011 the investment balance will equal $ Round answer to the nearest penny.. Licens Points possible: 1 Unlimited attempts.
The function of the amount of money is an illustration of an exponential function
The initial balance of the investment is $700, and the rate is 83.53%
How to interpret the function?The function of the amount of money in the investment is given as:
[tex]A(t) = 700(0.8353)^t[/tex]
The above function is an exponential function, and an exponential function is represented as:
[tex]A(t) = ab^t[/tex]
Where:
a represents the initial value, and b represents the rate.
By comparison, we have:
a = 700
b = 0.8353 = 83.53%
Hence, the initial balance of the investment is $700, and the rate is 83.53%
Read more about exponential functions at:
https://brainly.com/question/11464095
question is in the picture
Answer:
D. 0.80
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.4 millimeters and standard deviation 0.07 millimeter. Round your answers to at least four decimal places. (a) What proportion of the diameters are less than 24.3 millimeters? (b) What proportion of the diameters are greater than 24.6 millimeters? (c) To meet a certain specification, a ball bearing must have a diameter between 24.2 and 24.5 millimeters. What proportion of the ball bearings meet the specification? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of the diameters are less than 24.3 millimeters? The proportion of the diameters that are less than 24.3 millimeters is .
Answer:
Z = x - µ / ∂
= 24.2 – 24.6 / 0.07
=-0.4/ 0.07
= -5.71
Step-by-step explanation:
Solution:
Mean = µ = 24.4mm
Standard deviation = ∂= 0.07 mm
(a) Diameter less than 24.3 mm
P(x < 24.3)
The formula for normalized z value:
Z = x - µ / ∂
= 24.3 - 24.4 / 0.07
= - 0.1 / 0.07
= -1.4286
P(z < -1.428) = 1 – p ( z > -1.428)
= 1 – p( z < 1.42)
=1 – 0.4233
= 0.5767
(b) Diameter greater than 24.6 mm
P( x > 24.6)
The formula for normalized z value:
Z = x - µ / ∂
= 24.3 – 24.6 / 0.07
=-0.3 / 0.07
= - 4.285
P( z > -4.285) = 1 – p(z < -4.285)
= 1 – p ( z > 4.285)
=
(c) Diameter between 24.2 and 24.5 mm.
P(x > 24.5)
Z = x - µ / ∂
= 24.5 – 24.6 / 0.07
=-0.1/ 0.07
= -1.4286
P(z < -1.428) = 1 – p ( z > -1.428)
= 1 – p( z < 1.42)
=1 – 0.4233
= 0.5767
P(x < 24.2)
Z = x - µ / ∂
= 24.2 – 24.6 / 0.07
=-0.4/ 0.07
= -5.71
Roxanne wants to save up enough money so that she can buy a video game. The game costs $59. Roxanne has $22 saved from mowing the grass. In order to make more money, she plans to pressure wash her neighbors’ driveways. She plans to charge $5 for each driveway she pressure washes, and any extra money she makes beyond $59 she will save to buy another video game. How many driveways does she need to pressure wash to reach her goal?
¿Cuántas caras quedan al cortar con un plano cada esquina de un cubo como se muestra en la figura?
Realizando un corte en cada esquina del cubo como se muestra en la imagen quedarían una figura de 13 caras.
Cómo calcular en número de caras de la figura?Para saber el número de caras resultante de cortar todas las puntas del cubo debemos tener en cuenta que el cubo tiene 6 caras y 8 puntas.
De acuerdo a lo anterior, debemos remplazar cada punta por una cara, debido a que cada punta va a quedar como una cara luego del corte, es decir que tendríamos que sumar 6 caras y 8 caras producto del corte de las puntas.
6 + 8 = 13
Entonces, el número de caras de esta figura sería 13.
Nota: Esta pregunta está incompleta debido a que le falta la imagen. Aquí está la imagen:
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Please help.
What is 74+35.6?
Thank you
Answer:
The sum of
74 and 35.6 is 109.6
Step-by-step explanation:
109.6
Now enjoy a free meme thing
question is in the photo thank you so much!
Answer:
Step-by-step explanation:
the 2nd one!
Answer:
Your Answer should be B because you start at -1 and it decreases by -1
describe each of the following sets by using description
a. X = { a, e, i, o, u }
b. Y = { 1, 4, 9, 16, 25, 36, 49}
Answer:
Set X is consists of Vowel letters. Set Y consists of Square numbers
Answer:
(a) {-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4}
(b){-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2}
Annie’s reading class begins at 8:35 and lasts 1 hour and 45 minutes. What time is her reading class over
Answer:
10:20
Step-by-step explanation:
Find the slope of the line
Answer:
Slope = -2/1 = -2
Step-by-step explanation:
You can look at the points on the image and see the "directions" to get from one point to the next: you go down 2 and over 1. This is -2/1, which is -2.
You could also pick and two points and do a calculation. It can be any two points on the line and it will come out the same.
For example (-1,3) and (0,1) are two points on the line. To find slope, subtract the y's and put that on top of a fraction, then subtract x's and put that on the bottom.
3 - 1 goes on top.
-1 - 0 goes below.
3-1 / -1 - 0
2/-1
= -2
Slope = -2
g A pharmaceutical manufacturer has been researching new formula to provide quicker relief of minor pains. His laboratories have produced several different formula which he wanted to test. Fifteen people who complained of minor pains were recruited for an experiment. Five were given formula 1, five were given formula 2, and the last five were given formula 3. Each was asked to take the medicine and report (X) the length of time until some relief was felt. Using the results of the output, at 0.05 level of significance, what is the critical value for testing differences in the population mean times for pain relief
Answer:
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o:\mu_1 = \mu_2 = \mu_3[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2 \ne \mu_3[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 5 + 5 + 5 - 3[/tex]
=> [tex]df = 12[/tex]
Generally the critical value of [tex]\alpha = 0.05[/tex] at a degree of freedom of [tex]df = 12[/tex] is
[tex]t_{0.05 , 12} = \pm 2.1788[/tex]
FASTEST ANSWER WITH STEPS FOR PROOF GETS BRAINLIEST
1. You borrow money for a new car from the bank. After month 1, the loan balance is $14,760. After
month 2, it is $14,520. If this pattern continues. what will the balance be after 21 years?
2. Jose deposited $2000.00 on an investment that will give $171.50 for every half year that his money
stays in the account. How much money will he have in his account by the end of year 18?
3. A tube well is bored 800 meters deep. The 1 st meter costs $250 and the cost per meter increases by
$50 for every subsequent meter. Find the cost of boring the 750 th meter and the total cost incurred for
the entire job.
Answer:
#1 The balance after 21 months is $9960.
#2 $1,360
#3 The total cost of boring the 750 meters is $37,700.
Factor the following expression please (7th grade):
13xy-26x
Answer:
=13x(y - 2)
Step-by-step explanation:
26 = 13 * 2
Karla's friend Toni asks if she can drive with Karla 2 days per week. Toni will pay Karla $12 a week. How much money is this in a month? Will this be enough money to pay Karla's monthly gas expenses ? Explain pls & don’t send a link
Answer:
There are 4 weeks in a month so it would be $48, although I'm not sure why it's asking about the monthly gas expense, try to see if you can find how much itll cost in your test or homework and I'll try to help
Step-by-step explanation:
:)
3. Find the area of a square if its side length is:
a. 3 inches
b. 40 inches
c. x units
What’s the answer please help.
Answer:
i think its the last one
help with this question
Answer:
66
Step-by-step explanation:
2x+45+40+77+x=360
3x+162=360
-162=-162
3x=198
198/3
66
Your student Elijah believes that the fraction 1/3 is greater than the fraction 1/2 because 3 is greater than 2. How would you respond to Elijah? Can you think of multiple ways of explaining why 1/2 is actually greater than 1/3?
Answer:
let us consider on inequality. Seven is greater than two on number that says one every month. Supply one with a positive intention on both sides. A tree. Then this will change. Toe three multiplied with seven is greater than three months. Playing with stool, which will give us that 21 is greater than six status. There is no change in the direction of inequality. Now I'm multiplying. The first inequality picked a negative intention on both sides and minus tree. So then this inequality will change. Toe minus string multiplied with seven is greater than minus street multiplied. Which two, which will become the don'ts that we'll get, will be minus 21 on dhe minus six according to the first inequality. If the direction it's saying the little Belgian as mine is strange even is greater than minus six, which is not possible, so the direction will get automatically reversed. On this, inequality will become minus 21 which is less than minus six. It doesn't eat for violent of the first inequality, so therefore we have seeing that Ben be multiplied the inequality by a postive intrusion on both sides. Then the direction off inequality stays the same. On the other hand, when they're multiplying both sides with a negative Indonesia, then the direction off the inequality will become reverse. So this is what is known as the multiplication property. Oh, the inequalities.
Step-by-step explanation:
mark me brainliest!!
Kelsey bought some roses and tulips.She bought twice as many tulips as roses. Roses cost $5 each. Tulips cost $2 each .Kelsey spent $36 total. How many of each kind of flower did Kelsey buy ?
Answer: 4 roses and 8 tulips.
Step-by-step explanation: Each rose costs $5, so she bought 4 of them, which is $20 so far. Since she already bought 4 roses, she bought twice that amount for tulips, which is 8. Each tulip costs $2, so that's $16. Add both $20 and $16 and you have $36.
Hope this helps! :)
williamm3246 this for you
This is for you William3246! Whoever or whatever you are. ¯\_(ツ)_/¯
James can do a job in 1.5 hours. Jane can do the same job in 1 hour. How long will it take them to do the job if they work together?
Answer:
0.5 hours
Step-by-step explanation:
If Jams does a job in 1.5 hours, it will take less time for both of them to work together, hence, taking 30 minutes
TEAMWORK MAKES THE DREAM WORK!
ASAP!!
Drusilla built a model airplane using the scale in. 1/2= 7 ft The wingspan of the model is 15 inches. What is the wingspan of the
actual airplane?
A)
52.5 ft
B)
100 ft
C)105 ft
D)
210 ft
Answer:
The answer is A because 15 x 7 x 1/2= 52.5 ft.
Answer:
d
Step-by-step explanation:1/2=0.5
7 divided by 0.5= 14
14 times 15 =210
I also did the k12 test
which is a line of symmetry?
Angles 1 and 2 are supplementary.
2 lines intersect to form angles 1 and 2.
Which equation represents the relationship between their measures?
mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°
Answer:
mAngle1 + mAngle2 = 180°
Step-by-step explanation:
Knowing that:
Supplementary angles are 180 degree
Solve:
The only one with 180 is the third one.
Thus, the answer is mAngle1 + mAngle2 = 180°
~Lenvy~
Answer:
mAngle1 + mAngle2 = 180°
Step-by-step explanation:
edge 2022
find the surface area of a rectangular prism measuring 7yd and 3yd along the base and 9yd tall
Answer:
222 yd²
Step-by-step explanation:
Bottom and top area, each = 7 * 3 = 21 yd²
Two lateral surdaces, each = 7 * 9 = 63 yd²
Two lateral surdaces, each = 3 * 9 = 27 yd²
Total area = 2 x (21 + 63 + 27) = 222 yd²
In a Grade 6 class of 150 students, 30% are girls. How many girls are there in the grade?
150 and 30% are girls
Well, to find 30% you multiply 150 by 0.3
That gets you 45
Therefore, 45 out of 150 are girls
Answer:
50 girl
Step-by-step explanation:
i hope it help
For the function below, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing
toxx ?
f(x)= 3%
X-X-112x - 4
(a) The critical number(s) is/are -
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
(b) on which intervals is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Increasing on
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. Never increasing
(c) On which intervals is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
ОО
A. Never decreasing
B. Decreasing on
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression, Vse a comma to senartowo
Step-by-step explanation:
We must do the first derivative test. Here is the steps:
Step 1: Differentiate the polynomial once
we get
[tex]2 {x}^{2} - 2x - 112[/tex]
Step 2: Set this equal to zero and solve for x.
[tex]2 {x}^{2} - 2x - 112 = 0[/tex]
[tex] {x}^{2} - x - 56 = 0[/tex]
[tex](x - 8)(x + 7) = 0[/tex]
[tex]x = 8[/tex]
[tex]x = - 7[/tex]
The solutions are your critical points.
So our critical points are (8,-7).
Step 3: Plot -7 and 8 on a number line. First, pick a number lesser than -7 and plug plug in the derivative function.
Let use -10.
[tex]( - 10 - 8)( - 10 + 7) = 54[/tex]
Since that number is positive, this means are increasing when (-oo,-7)
Next, pick a number greater than 8. Let use 9.
[tex](9 - 8)(9 + 7) = 16[/tex]
Since that is positive, the interval is increasing whe (8,oo)
C. If we pick a number in between -7 and 8, we will get a negative number which means the function is decreasing on interval (-7,8)