Answer:
[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]
Step-by-step explanation:
Given:
[tex]9-x^2 < \:0[/tex]
Solve:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]9-x^2-9 < 0-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-x^2 < -9[/tex]
[tex]Multiply\:both\:sides\:by\:-1\:[/tex]
[tex]\left(-x^2\right)\left(-1\right) > \left(-9\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x^2 > 9[/tex]
[tex]\mathrm{For\:}u^n\: > \:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\: < \:-\sqrt[n]{a}\:or\:u\: > \:\sqrt[n]{a}[/tex]
[tex]x < -\sqrt{9}\quad \mathrm{or}\quad \:x > \sqrt{9}[/tex]
[tex]\sqrt{9}=3[/tex]
[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]
~lenvy~
The point I(–4, –1) is rotated 90 counter-clockwise about the origin. What is the image of I?
a. I(4, –1)
b. I(–1, –4)
c. I(1, –4)
d. I(4, 1)
Answer:
I(1, -4)
Step-by-step explanation:
(-4, -1) is in Quadrant 3 where x and y are negative
when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative
and also the values of x and y switches
so the answer will be I(1, -4)
prove that
[tex] \frac{1 }{ \sin(x) \times \cos(x) } [/tex]
equals 2csc2x
Answer:
See below for proof
Step-by-step explanation:
[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]
Thus, the identity is proven
Please help me! There is a picture.
Answer:
a is the write ansere
Step-by-step explanation:
please mar me brainliest
Answer:
A
Step-by-step explanation:
I'm 95.1% sure
Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?
The value 0.92 indicates the relative density of the ice.
Data;
Density = 0.92g/mlSpecific gravity = 0.92Specific GravitySpecific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.
mathematically;
[tex]relative density = \frac{density of substance}{density of reference}[/tex]
The value 0.92 indicates the relative density of the ice.
Learn more on specific gravity here;
https://brainly.com/question/14932758
help pls i cant figure this out
Answer:
answer is 1 metre
Step-by-step explanation:
We can assume the width be 'x'
Now we would get the equation
(2x+10)(2x+14)=192
on solving we get x=1
Find the surface area of the figure. Round to the nearest tenth if possible.
CAN SOMEONE PLEASE HELP ITS DUE TODAY
Answer:
n = 6
Step-by-step explanation:
[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:{}{n - 4} = {2} [/tex]
[tex]\qquad \sf \dashrightarrow \:n = 2 + 4[/tex]
[tex]\qquad \sf \dashrightarrow \:n = 6[/tex]
Hence, value of n is 6
What is the area of triangle ABC?
Answer:
200 sq units
Step-by-step explanation:
As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.
As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units
Please help graph this inequality
Answer:
View attached graph
Step-by-step explanation:
Hope it helps!
(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question
Answer:
The choice B
Step-by-step explanation:
[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]
Which ordered pair is a solution of...
x-y = -3
2x+y = 0
a. (-3,0)
b. (-1,2)
c. (0,0)
d. (1,4)
Answer:
the answer to your question is B
The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?
A. 45°
B. 55°
C. 35°
D. 25°
Answer: A
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.
Answer:
a
Step-by-step explanation:
I need more help it would be so nice + it is 100 points.
Answer:
8/3 < 8/2
D
Step-by-step explanation:
8/3 = 2.67
8/2 = 4
So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.
There is more left if 8 is divided by 2 than when it is divided by 3
[Answer]8/3 < 8/2
[Answer] D
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
8/3 < 8/2
Step-by-step explanation:
D. When fractions have equivalent numerators, the one with the lesser denominator is the greater fraction.
8/2 = 4
8/3 = 2.667
How to find the area of a half of a square?
Answer:
if u make the square half by its midpoint then we can find its area by using the area of rectangle.
if u make the square half from the diagonal we can find its area by using area of triangle.
Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?
WRITEN RESPONE
Answer:
30°C
Step-by-step explanation:
The Conversion Formula :-
F - 32 / 9 = C / 5F is given to be 86.
Substitution
86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°CAnswer:
Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.
Step-by-step explanation:
how does the number if possible outcomes of a single event help you determine the total number of possible outcomes of a compound event?
The possible outcomes of an event is the sample space
The product of the sample spaces of the single events determines the total number of possible outcomes of a compound event
How to determine the possible outcomes?Assume that the number of outcomes of n single events are:
[tex]n_1[/tex], [tex]n_2[/tex], [tex]n_3[/tex],........ [tex]n_n[/tex]
When these single events are combined, they form a compound event.
The number of outcomes of the compound event is the product of the number of outcomes of the single events.
i.e.
[tex]Outcomes = n_1 * n_2 * ......... n_n[/tex]
Hence, the product of the sample spaces of the single events determines the total number of possible outcomes of a compound event
Read more about outcomes at:
https://brainly.com/question/24756209
Make Sense and Persevere Ben walked from
the restaurant to the bus stop. Then, he took
the bus to the stadium. If he took the shortest
route, how many blocks did Ben travel? Note
that Ben can only travel along the grid lines.
Step-by-step explanation:
for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.
for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.
so, the whole trip took 5 + 11 = 16 blocks.
Question 3 (1 point)
Which is the explicit rule for the geometric sequence?
10, -30, 90, -270, ...
Answer:
The rule for this question should be an=10*(-3)^(n-1)
Step-by-step explanation:
Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.
Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.
Hope this helped!
List the first five natural numbers.
[tex]1, 2, 3, 4, 5 [/tex]
Answer:
The first five natural numbers are 1, 2, 3, 4, and 5.
Step-by-step explanation:
Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication. Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.
ABCD is an irregular quadrilateral. The sum of all the interior angles is 360 degrees. What is the measure of angle D?
A. 60°
B. 120°
C. 180°
D. Need more information
please hurry! first CORRECT answer gets brainliest! :)
Answer:
D. Need more informationStep-by-step explanation:
The given information is not sufficient to determine each angle measure since the quadrilateral is irregular.
It would be good to see the picture at least.
Possible options are A or B but we can't confirm without additional detals, option C can't be a correct choice as 180° represents a straight line.
Is this a function pls someone tell me
Answer:
No, it is not a function.
Step-by-step explanation:
In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.
Please help me on this
(Look at the Photo)
help me on both questions as attached below.
Also it's workings on how to get that if possible
Answer:
a) 160km
b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes
Step-by-step explanation:
a) d=speedxtime
so, 64x2. 5=160km
b) time=d/s
so, 160/50
it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes
Determine the ratio of the note B to middle C.
a. 1.8877
b. 1.7983
C. 1.9348
d. 1.3654
Answer:
To determine the ratio of the note B to middle C, we need to find the frequency of note B and then divide it by the frequency of middle C.
The frequency of note B is 493.9 Hz, and the frequency of middle C is 261.6 Hz.
Therefore, the ratio of the frequency of note B to middle C is:
493.9 / 261.6 = 1.8877
So the answer is (A) 1.8877
What is the area of the following figure?
Answer:
A=31.5cm squared
Step-by-step explanation:
A=lw
A=(9)(3.5)
A=31.5
therefore A=31.5cm squared
Answer:
31.5 cm
Step-by-step explanation:
Just multiply the length and width
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Look at where the two lines intersect.
Which value for x makes this inequality true?
−5>x
This inequality says the following:-
-5>x
negative 5 is greater than x, which means x is less than -5:
x<-5
Now, Which values make this inequality true?
Since x is less than -5, then numbers less than -5 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Myra swims 3/5 of a mile father than luke. If luke swims 2 4/10 miles, how mnay miles does myra swim?
Answer:
Myra swims for 3 miles.
Step-by-step explanation:
3/5 = 6/10
2 4/10 + 6/10 = 3
What is the area of this polygon?
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
On Tuesday afternoon at camp, Walter did archery and sailing before dinner. He spent 1 hour at archery and 1 hour and 20 minutes sailing. Sailing ended at 2:30 P.M. when it was time for dinner. What time did archery start?
Answer:
12:10
Step-by-step explanation:
1 hour and 20 minutes sailing- sailing ended at 2:30 pm when it was time for dinner.
For this, you simply have to subtract nd hour and 20 minutes from 2:30:
That is 1:10 pm.
Then, Walter spent an hour doing archery, so you take an hour off- which turns it back to 12:10 pm.
or 10 minutes after noon.
Thus, Archery started at 12:10 pm
Hope this helps, brainliest is always appreciated! :)
Have a nice day! cx
~Mitsuna