Answer:
all real number except 0
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Take a look at the attachment below. It proves that the inverse of matrix P does exists, as option c,
Hope that helps!
Answer: C
Step-by-step explanation:
Given a b
c d
Multiply the reciprocal of the determinant by d -b
-c a
Determinant = ad - bc = 2(-3) - 4(1)
= -6 - 4
= -10
[tex]-\dfrac{1}{10}\left[\begin{array}{cc}-3&-4\\-1&2\end{array}\right] \\\\\\\\=\left[\begin{array}{cc}\dfrac{-3}{-10}&\dfrac{-4}{-10}\\\\\dfrac{-1}{-10}&\dfrac{2}{-10}\end{array}\right]\\\\\\\\=\left[\begin{array}{cc}\dfrac{3}{10}&\dfrac{2}{5}\\\\\dfrac{1}{10}&-\dfrac{1}{5}\end{array}\right][/tex]
Which list orders the sides of triangle abc from longest to shortest length?
Answer:
B
Step-by-step explanation:
the hotpotuse is always the biggest
the rest is pretty easy to determine
The orders that the sides of the triangle ABC from longest to shortest length will be AB, BC, and AC.
What is a right-angled triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry. A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
If one of the angle is of 90° then the triangle is right angled triangle.
We can see that the Hypotenuse is always the biggest side among all the sides.
Then the perpendicular side BC is the second biggest and then the base of the triangle.
Therefore, the order must be AB > BC > AC.
The orders that the sides of the triangle ABC from longest to shortest length will be AB, BC, and AC.
Learn more about right angled triangle here:
https://brainly.com/question/27190025
#SPJ5
what is -14 squared + 5675843
Answer:
5676039
Step-by-step explanation:
-14² + 5675843
Solve for exponent.
196 + 56758
Add the numbers.
= 5676039
in triangle ABC shown below, Segment DE is parallel to Segment AC:
Answer:
Selected option is correct
Step-by-step explanation:
Triangle BDE and BAC are similar because of the two pairs of equal angles (AA)
1. angle B
2. angle BDE = angle BAC
Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well as in your final answer. 360 units2 586 units2 456 units2 552 units2
Answer:
Option (4)
Step-by-step explanation:
Surface area of a prism = 2B + P×h
where B = Area of the triangular base
P = perimeter of the triangular base
h = height of the prism
B = [tex]\frac{1}{2}(\text{leg 1})(\text{leg 2})[/tex]
Since, (Hypotenuse)² + (Leg 1)² + (Leg 2)² [Pythagoras theorem]
(20)² = (12)² + (Leg 2)²
Leg 2 = [tex]\sqrt{400-144}[/tex]
= 16 units
Therefore, B = [tex]\frac{1}{2}\times 12\times 16[/tex]
= 96 units²
P = 12 + 16 + 20
P = 48 units
h = 7.5 units
Surface area of the prism = 2(96) + (48×7.5)
= 192 + 360
= 552 units²
Therefore, surface area of the given triangular prism = 552 units²
Option (4) will be the answer.
Find the value of the trigonometric and simplify the fraction if needed. Thanks!
Answer:
Tan<C=2.4
Step-by-step explanation:
Opp=36
Adj=15
Tan<C=opp/adj
Tan<C=36/15
Tan<C=2.4
Hope this helps :) ❤
A car is driving at 100 kilometers per hour. How far, in meters, does it travel in 3 seconds?
Answer:
The car travels 83 1/3 meters in 3 seconds.
Step-by-step explanation:
Speed of car = 100 KM/ hour
1 km= 1000m
1 hour = 3600 seconds
Lets find speed of car in Meters/second
speed of car in m/sec = 100*1000 m/3600 second
here we have taken 1000 for km and 3600 for hour
speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second
speed of car in m/sec = 250/9 m per sec
We know that
distance = speed*time
speed = 250/9 m per sec
time =3 second
distance = 250/9 * 3 meters = 250/3 meters = 83 1/3 meters.
Thus, car travels 83 1/3 meters in 3 seconds.
How can you find f(2) f(x) = - 3x ^ 2 - 7
Answer:
-19Step-by-step explanation:
Plug in 2 for x.
f(2) = -3(2)² - 7
f(2) = -3(4) - 7
f(2) = -12 - 7
f(2) = -19
[tex] 3 {x}^{2} - 15x = 15[/tex]
[tex]3x^2-15x= 15\\\\x^2 -5x = 5\\\\x^2-5x-5=0\\\\\Delta = 25+20\\\\\Delta = 45\\\\\\x = \dfrac{5\pm \sqrt{\Delta}}{2}\\\\\\x = \dfrac{5\pm \sqrt{45}}{2}\\\\\\x = \dfrac{5\pm 3\sqrt{5}}{2}\\\\\\[/tex]
What is the angle of rotation from figure A to figure A’? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° counterclockwise C. 180° counterclockwise D. 270° counterclockwise
Answer:
B.90°counterclockwise
Answer: B
Step-by-step explanation:
A. If you rotate a figure in the first quadrant 180 degrees clockwise it will end up in the third quadrant so the answer can't be A.
B. If you rotate a figure in the first quadrant 90 degrees counterclockwise it will end up in the second quadrant because you will rotate it backwards and as you could see A prime is in the second quadrant.
C.If you rotate a figure in the first quadrant 180 counterclockwise it will end up in the third quadrant. SO the answer can't be it C.
D.If your rotate a figure in the first quadrant 270 counterclockwise it will end up in the fourth quadrant. So the answer can't be D.
Use the following data to compute a 98% upper confidence bound for μ1 − μ2:
m = 41
x = 42,700
s1 = 2030
n = 41
y = 36,275
s2 = 1360.
Answer:
[tex] (42700- 36275) -2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}= 5519.071[/tex]
[tex] (42700- 36275) +2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}=7330.929[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex]n_1 = 41 , \bar X_1 =42700 , s_1 = 2030[/tex]
[tex]n_2 = 41 , \bar X_2 =36375 , s_2 = 1360[/tex]
And for this case we want a 98% confidence interval. The significance would be:
[tex] \alpha= 1-0.98=0.02[/tex]
The degrees of freedom are:
[tex] df = n_1 +n_2 -2= 41+41 -2= 80[/tex]
And the critical value for this case is:
[tex] t_{\alpha/2}= 2.374[/tex]
And the confidence interval would be given by:
[tex](\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}[/tex]
And replacing we got:
[tex] (42700- 36275) -2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}= 5519.071[/tex]
[tex] (42700- 36275) +2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}=7330.929[/tex]
(9-6)+12 what’s is the answer?
Answer:
15
Step-by-step explanation:
Answer: 15
Step-by-step explanation: (9-6) + 12
(3) + 12
15
A teacher based in California calculated a particular date in the calendar and named it Square Root Day. Try and find out why the day was named so. Can you find more such days? When was last square root day and when is next square root day
Answer:
may 5 the is squareroot day and it is when the day and the month has the first two digits in the date are the square root of the last two digits. examples 2nd February,2004 3rd March 2009 and the last time we had one was April 4th 2016. The next square root day is May 5th 2025
A bag contains 17 counters all of different colours. Colin chooses one counter and gives it to Obi, and another counter and gives it to Zeema. In how many ways can Colin do this?
Answer:
Colin can do this is 272 ways.
Step-by-step explanation:
The first counter goes to Obi and the second to Zeema, so the order is important. This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
Two counters from a set of 17. So
[tex]P_{(17,2)} = \frac{17!}{(17-2)!} = 272[/tex]
Colin can do this is 272 ways.
Please answer this correctly
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair s=3/4 t+ 2
Answer:
b
Step-by-step explanation:
The slope is 3/4 and the y-intercept is y(0,2)
The slope is what we multiply by the variable ( here t) and the y-intercept is the number we add
If (x) = 3x - 5 and g(x) = x + 3, find (f - g)(x).
O A. 8 - 2x
O B. 2x-2
O c. 2x-8
O D. 4x-2
Answer:
C
Step-by-step explanation:
(f-g)(x)=(3x-5)-(x+3) = 3x-5-x-3 = 2x-8
Answer:
2x -8
Step-by-step explanation:
f (x) = 3x - 5
g(x) = x + 3,
(f - g)(x) = 3x - 5 - ( x+3)
Distribute the minus sign
= 3x-5 -x-3
Combine like terms
= 2x -8
Consider Mary's experiment regarding whether learning of 6th graders on a math lesson is affected by background noise level. Mary has collected her data. What is the null hypothesis for her study? What is the alternative hypothesis for her study? What are the assumptions that must be met about her data before she can correctly use an independent t-test to test the hypotheses? Why? How would she see if her data met these assumptions? How much room does she have to violate any of these assumptions and still get accurate results from the t-test? Explain and support your answers
Answer:
Check the answers to the questions below
Step-by-step explanation:
a) If [tex]\mu_1[/tex] is the average learning rate of the 6th graders without background noise level and [tex]\mu_2[/tex] is the average learning rate of the 6th graders with background noise level
The Null Hypothesis is that the learning rate of the 6th graders is not affected by the background noise level.
Null hypothesis, [tex]H_0: \mu_1 = \mu_2[/tex]
b) The Alternative Hypothesis is that the learning rate of the 6th graders is affected by the background noise level.
Alternative hypothesis, [tex]H_a: \mu_1 \neq \mu_2[/tex]
c) Assumptions that must be met about the data before she can correctly use independent t-test
There must be random selection of the 6th graders
That the two groups are normally similar in their learning abilities
The division of students into the two groups should be at random
d) She has to make these assumptions to prevent bias and inaccuracy of results. If these assumptions are not made, the outcome of the experiment may not reflect the true effect of background noise on the learning of the 6th graders.
She can still get accurate results if she include some bias in the selection to prove a particular result.
During a football game, a team lost 12 yards on the first play and then gained 5 yards on each of the next 3 plays. Which method finds the total yards at the end of the first four plays?
A) add –12 to 3 times 5
B) add 12 to 3 times 5
C) add –12, 5, and 3
D) add 12, 5, and 3
They got 5 yards on 3 plays. For total yards multiply the 3 plays by 5 yards. The first play was negative, so add the negative value. The answer is A.
Answer:
A
Step-by-step explanation:
15 liters of water flow
through a water pipe
and enter a tank
within 4.5 minutes
How much time does
it take to pump 727.5
liters of water into a
water tank using 2
similar water pipes?
Answer:
Step-by-step explanation:
Since 15 liters of water flow through a water pipe and enter a tank within 4.5 minutes, the same amount of water would flow through a similar pipe at the same time. Therefore, if two similar water pipes are used, the volume of water that would flow into the tank in 4.5 minutes is 15 × 2 = 30 liters
Therefore, the time it will take to pump 727.5 liters of water into a water tank using 2 similar water pipes is
(727.5 × 4.5)/30 = 109.125 minutes
Matías and José want to distribute 4.5 kilograms of lemons in 3/4 kilogram bags. How many bags will they be able to complete?
Answer:
6 bags
Step-by-step explanation:
3/4 = .75
4.5/.75 = 6 =
6 BAGS
Please help I would be very greatful. On a coordinate plane, a solid straight line has a positive slope and goes through (0, 0.2) and (3, 2.2). Everything to the right of the line is shaded. Which linear inequality is represented by the graph? y > Two-thirdsx – One-fifth y ≥ Three-halvesx + One-fifth y ≤ Two-thirdsx + One-fifth y < Three-halvesx – One-fifth
Answer: C. y ≤ 2/3x + 1/5
Step-by-step explanation: From 1/5 on the y coordinate plane go up 2 and right 3 and it perfectly matches, so it would be C. 100% on Edge2020.
Answer:
C
Step-by-step explanation:
just did the test.
What is the product of (2p + 7)(3p2 + 4p – 3)?
6p3 + 29p2 – 34p + 21
6p3 + 29p2 – 22p + 21
6p3 + 29p2 + 22p – 21
6p3 + 29p2 + 34p – 21'
Answer: 6p^3+29p^2+22p-21
Describe el tipo de transformación de la siguiente figura y sus coordenadas.
Answer:
triangle pythagora
Step-by-step explanation:
the pythagora is made by someone special names albert and you ahve to amke three sides a b and c
what is the value of X
Answer: x=48°
Step-by-step explanation:
The 3 angles of the triangle add up to 180°. We can set the angles to 180 and solve.
47+85+x=180 [combine like terms]
132+x=180 [subtract both sides by 132]
x=48
Answer:
x=48
Step-by-step explanation:
Total sum of angles in a triangle =180
47+85+x=180
132+x=180
x=180-132
x=48
I NEED HELP PLEASE THANKS!
Answer: A) 0.5
Step-by-step explanation:
The denominator should be in the form 1 + e sin θ
Currently the denominator is: 2 + 1 sin θ
Divide the denominator by 2 to get: 1 + 0.5 sin θ
Thus, e = 0.5
A low calorie dinner has 480 calories in an 9 ounce serving. What is the unit rate in simplest form?
Answer: 53.333333, 53 1/3
Step-by-step explanation:
The unit rate in this question means how many calories for one ounce. Thus, you can simply divide 480 by 9 to get 53.3333333
Answer:
53.33 caloriesStep-by-step explanation:
Calories in a low calorie dinner = 480 calories
Serving at one time = 9 ounce
then,
Unit rate = Amount of calories in one serving
So,
Amount of calorie in 9 serving = 480
Amount of calorie in 1 serving = 480/9
In simple form : 160/3
= 53.33 calories
Hope this helps...
Good luck on your assignment..
Please help me answer my question
Answer:
All angles in any quadrilateral adds up to 360°
Step-by-step explanation:
We can prove this by using 180(n - 2)
n = 4 for a quadrilateral
180(4 - 2)
180(2)
360°
So, 360 - (125 + 67 + 80) = 88°
Answer:
See below
Step-by-step explanation:
The interior angles of a quadrilateral (having 4 sides) add up to 360 degrees.
=> So, to find x, we'll simply subtract the rest if the angles from 360
So,
=> x = 360-125-67-80
=> x = 88 degrees
Which product will result in a sum or difference of cubes?
A (x + 7)(x2 – 7x + 14)
B (x + 8)(x2 + 8x + 64)
C (x – 9)(x2 + 9x + 81)
D (x – 10)(x2 – 10x + 100)
Answer:
C. (x - 9)(x^2 + 9x + 81).
Step-by-step explanation:
The cube identities are
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Checking against the list the one that fits is the difference formula:
x^2 - 9^2 = (x - 9)(x^2 + 9x + 81).
a=1, b = 9, ab = 1 *9 = 9.
The price of the petrol is increased by 2/3. Originally the price was £1.02 per litre What is the cost of the petrol now? £ ? per litre
Answer:
£1.53 per litre
Step-by-step explanation:
original = 1.02
if it is increased by 2/3 then we do 1.02 / (2/3) =£1.53 per litre