Answer:
[tex]-3u + 5g =-58i -25j[/tex]
Step-by-step explanation:
Given
[tex]u = 6i - 10j[/tex]
[tex]g=-8i - 11j[/tex]
Required
[tex]-3u + 5g[/tex]
We have:
[tex]-3u + 5g[/tex]
This gives:
[tex]-3u + 5g = -3(6i - 10j) + 5(-8i - 11j)[/tex]
Open bracket
[tex]-3u + 5g = -18i + 30j - 40i - 55j[/tex]
Collect like terms
[tex]-3u + 5g = -18i - 40i+ 30j - 55j[/tex]
[tex]-3u + 5g =-58i -25j[/tex]
Write all even numbers between 73 and 83.
Answer:
74,76,78,80,82
Step-by-step explanation: even numbers are whole numbers that have 0,2,4,6,8 in their ones place
At a school, there are 28 students for every 2 teachers. What is the ratio of teachers to students?
14:1
If im wrong oops
Answer: 1:14
Step-by-step explanation:
28/2 = 14
A recent survey stated ''4 out of 5 dentists prefer Clean Toothpaste.'' There were 80 dentists in the survey. How many dentists preferred Clean Toothpaste
A: 36
B: 44
C: 64
D: 100
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct a 95% condence interval for the proportion of water specimens that contain detectable levels of lead
Answer:
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.
This means that [tex]n = 42, \pi = \frac{26}{42} = 0.619[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 - 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.472[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 + 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.766[/tex]
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
Confusion help please
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
what do u need help with
Compute the height (in meters) of a cylinder with a radius of 2m and
volume 138 cubic meters. Round to the nearest meter.
Answer: 10.98 meters
Step-by-step explanation:
There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?
Answer:
Abigal is correct, it it 4:3
Step-by-step explanation:
4:3 because 40:30 is only 10 times larger than the 4:3
What is the length of AB?
o 4 units
O 5 units
O 6 units
O 7 units
Answer:
6 units
Step-by-step explanation:
Count the box from A to B. There are 6 units in between them
A store charges a restocking fee for any returned goods. An item priced $130 has a restocking fee of $7.80 and an item priced $250 has a restocking fee of $15. What percentage of the item is the restocking fee?
Question 4 options:
9514 1404 393
Answer:
6%
Step-by-step explanation:
The fee can be found from the ratio of fee to price:
$7.80/$130 = 0.06 = 6%
The restocking fee is 6% of the price of the item.
The locus of points in a plane 1 unit from the point (0,0)
Answer:
x² + y² = 1
Step-by-step explanation:
A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center of the circle and r is the radius of the circle.
Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:
[tex](x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1[/tex]
Find the length of the third side. If necessary, write in simplest radical form. 9 5
Step-by-step explanation:
[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]
Sasha went shopping and decided to purchase a set of bracelets for 25% off the regular price, $44.00. If Sasha buys the bracelets today, she will save an additional 5%. Find the sales price of the set of bracelets with both discounts. How much money will Sasha save if she buys the bracelets today?
Answer: the answer is #31.35
Step-by-step explanation:
if anyone needs help with figuring out the triangle degrees math stuff im the gal! I will take a look at it and walk u threw it/explain how i got the answer or other math like linear equations!
Factor the polynomial:4x^4y^2-16x^4y^2+8x^2y
Answer:
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
Step-by-step explanation:
Given
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Required
Factor
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Factor out [tex]4x^2[/tex]
[tex]4x^2(x^2y^2 - 4x^2y^2+2y)[/tex]
Factour out y
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
Given that the triangles shown below are similar, what is the value of x? 32 20 H 48M P A. 96 B. 10.7 C. 24 D. 20
Answer:
I DONT SEE TRIANGLES
Step-by-step explanation:
What is the volume???????
Answer:
36
Step-by-step explanation:
Hope this helps u
Please mark as the brainliest
Thank You
What is the answer correct answer someone please tell me I need the answer ASAP
You will get brainlest if it’s correct
Answer: 180
Step-by-step explanation: you do 2 divided by 5 and get 0.4 then multiply that by 450
An additional amount of money added to borrowed money only on principal is what kind
of interest?
-Interest rate
-Terms
-Simple Interest
-Compound interest
Answer:
simple interest
Step-by-step explanation:
An additional amount of money added to borrowed money only on the principal could be simple interest.
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.
we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.
Learn more about simple interest here:
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Write this number in standard form: 6,000,000 + 900,000 + 80,000+ 9,000 + 500+ 80+ 2
6,989,582 hope this hels
please help, which conditions form a unique quadrilateral?
Answer:
Option d
Step-by-step explanation:
A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given. A quadrilateral can be constructed uniquely if the lengths of its three sides and two diagonals are given. A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are given.
So according to this, it could be option d. A rhombus with two acute angles and sides of length 12ft.
Hope it helps :)
Though I may be wrong :( [Sorry if it is]
P.S.:If you're still not sure if it's correct, you can refer to the para above and choose your answer
Have a great day!
what is the answer for this question
(x + 3)^4
(x+3)4
=(x+3)4
=(x+3)*(x+3)*(x+3)*(x+3)
=x4+12x3+54x2+108x+81
Which OF THESE IS THE QUADRATIC PARENT FUNCTION!?!
A. f(x)=x
B. f(x)2^×
C. f(x)=lxl
D. f(x)=x^2
Answer:
D. f(x)=x^2
Step-by-step explanation:
Can somebody please help me
Step-by-step explanation:
For y = 2^x:
f(-3) = 2^-3. f(-2) = 2^-2. f(-1) = 2^-1
= 1/8 = 1/4. =1/2
f(0) = 2^0 f(1) = 2^1. f(2) = 2^2
= 1 = 2. =4
f(3) = 2^3
=8
For 3y = 7x + 3, y= (7x+3)/3
f(-3) = [7(-3)+3] / 3. f(-2) = [7(-2)+3] / 3
= -6. = -11/3
f(-1) = [7(-1)+3] / 3. f(0) = [7(0)+3] / 3
= -4/3 = 1
f(1) = [7(1)+3] / 3. f(2) = [7(2)+3] / 3
= 10/3 = 17/3
f(3) = [7(3)+3] / 3.
= 8
point of intersection, where y=2^x and 3y = 7x + 3 has the same x and y coordinate
Answer: (0,1) and (3,8)
When formulating a constraint, care must be taken to ensure that a. all the objective function coefficients are included. b. the decision variables are set at either maximum or minimum values. c. the units of measurement on both sides of the constraint match. d. there are no inequalities in the mathematical expression.
Answer: C. the units of measurement on both sides of the constraint match.
Step-by-step explanation:
A constraint simply refers to the condition with regards to an optimization problem which must be satisfied by the solution.
When formulating a constraint, care must be taken to ensure that the units of measurement on both sides of the constraint match.
It should be noted that it's not necessary for all the objective function coefficients to be included. Also, there must be inequalities in the expression. Therefore, the correct option is C.
Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to contribute $15 each. Write an inequality that represents Alejandra’s situation.How many friends will need to contribute for Alejandra to reach her goal?
Answer:
15x + 190 >= 400
* >= means greater than or equal to *
at least 14 friends
Step-by-step explanation:
without the inequality it'd be 15x + 190 = 400
but since you want it to be at least 400 you change the = to the greater than or equal to sign
15x + 190 = 400 * subtract 190 from both sides*
15x = 210 *divide both sides by 15*
x = 14
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
Answer:
Jocelyn's plane travelled 3650 miles.
Step-by-step explanation:
mph stands for miles per hour.
Let's set up an equation.
total miles = speed(hours)
Jocelyn's plane travelled 500 mph for 7.3 hours.
total miles = 500(7.3)
Multiply.
total miles = 3650
Jocelyn's plane travelled 3650 miles.
Hope this helps!
You are in charge of buying pizzas for the math club meeting. The individual pizzas cost $5 each, and the large pizzas cost $10 each. You have $80 to spend. Write an equation that matches this situation.
Answer:
Big pizzas = B. Normal pizzas = N;
10B + 5N = 80
Step-by-step explanation:
Required equation that matches the given situation is 5x+10y = 80
What is equation?A mathematical equation which represents the relationship of constants and variable with Arithmetic operationsIt has one variable or more than one variable.It has equal to symbol.For Example: 3y-8 = 1, it has the solution y = 3.Let the number of individual pizza be x
Let the number of large pizza be y
Cost to be spent is $80
Cost of individual pizza = $5
Cost of large pizza = $10
The equation matched this situation is 5x + 10y = 80.
Hence, the required equation is 5x + 10y = 80
Learn more about equation here:
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Please help!!!!! I will make you best answer!!!!
Factor each.
7) f(x)=x4 – x² - 6
A) f(x) = (x² + 2)(x² – 3)
B) f(x) = (x² + 2)(x² + 4)
C) f(x) = (x² + 3)(x² – 3)
D) f(x) = (x2 + 4)(r? - 3)
Answer:
Option A
Step-by-step explanation:
Given function is,
[tex]f(x)=x^4-x^2-6[/tex]
Hint: [tex](-1=-3+2)[/tex] and [tex](-3)(2)=-6[/tex]
[tex]f(x)=x^4-3x^2+2x^2-6[/tex]
[tex]=x^2(x^2-3)+2(x^2-3)[/tex]
[tex]=(x^2+2)(x^2-3)[/tex]
[tex]f(x)=(x^2+2)(x^2-3)[/tex] is the factored form of the given function.
Option A will be the correct option.
5 Dr. Light performed an operation that started at 2:30 p.m. and lasted 2 hours and 20 minutes. At what time was the operation over? O 4.30 p.m. . 4:45 p.m. O 4:50 pm
Answer:
4:50 PM
Step-by-step explanation:
I hope it helps you
A 250
B 1000
C 1750
D 5000
Answer: b
Step-by-step explanation: divide and round
Answer:
I believe the best answer is A