Answer:
Yes
Step-by-step explanation:
Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.
While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.
Tell whether each order pair is a solution of the equation.
1. 2x+y=5 (2,1)
2. 4x-3y=10 (4,3)
helppp pls i don’t understand thisssss
Answer:
1.) (2,1) is a solution
2.) (4,3) is NOT a solution
Step-by-step explanation:
1.) (2,1)
These are these mean (x,y)
2=x and 1=y
You want to substitute the numbers for the letters in the equation.
so.
2(2)+1=5
4+1=5
5=5, This statement is true so (2,1) is a solution.
2.) Same as above. 4=x and 3=y
4(4)-3(3)=10
16-9=10
7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.
answer it answer it answer it
Answer:
22.5
Step-by-step explanation:
cause
Answer:
It is 22.5
Step-by-step explanation:
add up all they shaded parts:
22.5 x 4 = 90 degrees
as each unshaded part is three times more then you do 22.5 x 3 for one part
22.5 x 3 = 67.5 degrees
then times by four because there is four unshaded sections.
67.5 x 4 = 270 degrees
270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.
need help with this !!
Answer:
1
5
4
2
3
Step-by-step explanation:
1 combines the sets A and B. that symbol there stands for U like "union". so, all values of x, where x is either < 1 or >= 5.
2 is again a union. A and C are combined. C contains only one element : x=5.
3 is again a union. B and C are combined. but the element of C (x=5) is already part of B (x>=5), so the union does not change anything, the result is simply B again.
4 is doing a "cross section" between the sets A and B. only elements that are in both sets are in the result. but x < 1 and x >= 5 don't have any elements in common. so, the result is an empty set.
5 is again a cross section. the only shared element between B and C is x=5.
Hmm What's 2⁄3 of 90cm?
Answer:
Hey there!
2/3 of 90 cm would be 60 cm.
Hope this helps :)
Answer
[tex] \boxed{60}[/tex]
Step by step explanation
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term :
[tex] \mathsf{ \frac{2}{3} \times 90}[/tex]
⇒[tex] \mathsf{ \frac{2 \times 90}{3 \times 1} }[/tex]
⇒[tex] \mathsf{ \frac{180}{3} }[/tex]
⇒[tex]60[/tex]
Hope I helped!
Best regards!!
If 4th term of an AP is 0. Prove that 25th term is triple the 11th term
Answer:
The 4th term = a+3d = 0,
or a = -3d.
The 25th term = a+24d = -3d+24d = 21d. ...
the 25th term is 3 times the 11th term. Proved.
Answer:
a^25 = 3 x a^11 .
Step-by-step explanation:
Given a^4 = 0
That is (a + 3d) = 0
⇒ a = - 3d ........... (1)
nth term of AP is given by an = a + (n – 1)d
a^11 = a + 10d = – 3d + 10d = 7d [From (1)]
a^25 = a+ 24d = – 3d + 24d = 21d [From (1)]
Hence
The answer is a^25=3 x a^11
HELP ILL GIVE BRAINLIEST
Answer:
C. 4
Step-by-step explanation:
The graph seems to start at y=4, and decreases.
There are 100 prize tickets in a bowl, numbered 1 to 100. What is the probability
that an even numbered prize ticket will be chosen at random, not replaced, then an
odd numbered prize ticket will be chosen? Does this represent an independent or
dependent event? Explain.
Answer:
25/99; Dependent event
Step-by-step explanation:
This is the probability that an even ticket will be chosen out of 100 tickets times the probability that an odd ticket will be chosen out of the remaining 99 tickets.
There 50 even out of 100 to start off with. After 1 even is chosen there are still 50 odd but only 99 more tickets.
(50/100)(50/99)=2500/9900= 25/99
This is a dependent event because an odd number should come after the even number only.
Answer:
25/99
Dependent event
Step-by-step explanation:
1. Multiply the possibilities
There are 50 even numbers out of 100 numbers. If one even number is drawn and not replaced, that would leave the odd ticket to be drawn out of 99 tickets. Because an even number was drawn first, all 50 odd numbers would remain.
[tex]\frac{50}{100}[/tex] · [tex]\frac{50}{99}[/tex] = [tex]\frac{2500}{9900}[/tex]
Simplify
[tex]\frac{2500}{9900}[/tex] = [tex]\frac{25}{99}[/tex]
2. This is a dependent event because the chances of an odd number being drawn was altered. If the even ticket was replaced, the probability of the odd number being drawn would not have been affected.
plz helppppp it's a constructed response!!!? :(
Step-by-step explanation:
the measure of the segment YZ
[tex] \sin(30) = \frac{yz}{50} \\ yz = 50 \times \sin(30) = 25[/tex]
YZ= 25 m
According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
C) C < 4
Step-bay-step explanation:
> means "greather than"
< means "less than"
The only statement that is true:
C) C< 4
HELP!!!!!!!!!!!!!!!!!!!
Answer:
25 ( 5 width times 5 length)
Step-by-step explanation:
for 0°<θ<-180° which of the primary trigonometric functions may have positive values?
sine and cosecant.
you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate
how to simplify: y=3x +38 -4x +19
Answer:
y = -x +57
Step-by-step explanation:
y=3x +38 -4x +19
Combine like terms
y = 3x-4x + 38 +19
y = -x +57
Answer:
y= -x+57
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
✌️
the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression shows the number of states that entered the union in 1889
Answer:
x = s/2
Step-by-step explanation:
● s states have joined the union in 1788
● half of s have joined in 1889
Let x be the number of states that have joined in 1889
● x = (1/2)× s
● x = s/2
Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?
5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.
ochieng had sh 250 as pocket money at the begining of the term.in the middle of the term he was left with 2 over five of this amount .how much did she spend
Answer:
625
Step-by-step explanation:
250 × X = 2
X = 5
250 × 5 = 2
1250 = 2 after this step u divided it by 2
1250 ÷ 2
= 625
Type the correct answer in the box. Simplify this expression: 4(1 – 3x) + 7x – 8.
Answer:
-4 -5x
Step-by-step explanation:
4(1 – 3x) + 7x – 8.
Distribute
4 -12x +7x -8
Combine like terms
-4 -5x
Answer:
The simplified answer of this expression is -5x - 4
Step-by-step explanation:
4(1 - 3x) + 7x - 8
Distribute 4 to (1 - 3x)
4 - 12x + 7x - 8
Rearrange the terms so it'll be easier to combine them.
4 - 8 - 12x + 7x
Combine like terms.
-4 - 5x
Put the equation in standard form.
-5x - 4
Please help i'm really struggling with this unit
A primary trigonometric ratio of an angle is given : tan = 2√5 / 5 . The terminal arm falls in quadrant 3. Find the other 2 primary trigonometric ratios in exact form (no decimals). Rationalize if necessary.
I WILL GIVE BRAINLIEST
Answer:
sin(theta)=-2/3 and cos(theta)=-sqrt(5)/3
Step-by-step explanation:
First of all, as the theta is in 3rd quadrant, all the other ratios will be negative. Second tan(theta)=P/B. So, 2=P and B=sqrt(5), H=sqrt(P^2+H^2)=sqrt(4+5)=3. sin(theta) will be P/H=-2/3 and cos(theta) will be B/H=-sqrt(5)/3
2( -4n+ 2)
6n = 4(-2 - 2n)
Answer:
(n^(2)+6n-4)(2n-4)
Which of the following functions is graphed below?
15
10
5
-8 -6 -4 -2 0
2
4 6 8
ch
[x® -3,xs 2
A. y =
1x2 +6, x> 2
O B. y -
[x2 -3.x > 2
1x2 +6, 52
O c. y-{X-3,x<2
1x2 +6, xs 2
x < 2
O D. y =
(x² – 3, x<2
(x2 +6, x2 2
___________________A
The function that represents the inequality of the given graph is;
Option A
Graph Inequalities
From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.
Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.
Looking at the options, option A is right and we will prove it thus;
for y = x³ - 3
At x = 2, we see that;
y = 2³ - 3
y = 5
This corresponds with the given equation
For the second curve, for y = x² + 6;
At x = 2, we have;
y = 2² + 6
y = 4 + 6
y = 10
This corresponds with what is given and is thus correct.
Thus, option A is the correct answer
Read more about graphed inequalities at; https://brainly.com/question/11234618
please help me solve this exercise.!!
find the value of tanx if sinx+cosx=1/5 and 0<x<π.
=============================================================
Explanation:
Let's square both sides and do a bit of algebra to get the following.
[tex]\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\[/tex]
Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25
This then means tan(2x) = sin(2x)/cos(2x) = 24/7.
From here, you'll use this trig identity
[tex]\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\[/tex]
which is the same as solving
[tex]\tan(2x) = \frac{2w}{1-w^2}\\\\[/tex]
where w = tan(x)
Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4
So either tan(x) = -4/3 or tan(x) = 3/4.
If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.
Since tan(x) < 0 in this case, we go for tan(x) = -4/3
A pharmaceutical salesperson receives a monthly salary of $4700 plus a commission of 2% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.
Answer:
[tex]W= 4700+0.02S[/tex]
Step-by-step explanation:
Given that
W is the monthly wage
S is the monthly sales
According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)
Also plus 2% commission of sales made for the month added to the wage
we can model his/her wage as follows
[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]
Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]
What point is the intersection of the graphs of the lines 2x - y = 3 and x+y = 3?
Answer: (2, 1)
======================================================
Explanation:
Let's add the equations straight down
The x terms add up to 2x+x = 3xThe y terms add to -y+y = 0y = 0, so the y terms go awayThe right hand sides add to 3+3 = 6After those three things happen, we're left with 3x = 6 which solves to x = 2 after dividing both sides by 3.
Now let's use this x value to find y
2x-y = 3
2(2)-y = 3
4-y = 3
-y = 3-4
-y = -1
y = 1
Or we could use the other equation
x+y = 3
2+y = 3
y = 3-2
y = 1
which gets us there in fewer steps.
So that's how we get to the final answer of (x,y) = (2,1)
The graph is shown below.
15 Points and Brainliest :)
Answer:
Step-by-step explanation:
Hello, please consider the following.
Option A. First week we got $200.
Week 2, we got $200+$50=$250
Week 3, we got $250+$50=$300
Week 4, we got $300+$50=$350
Week 5, we got $350+$50=$400
Week 6, we got $400+$50=$450
[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &250 &300 &350 & 400 &450\end{array}[/tex]
Option B. First week we got $200.
Week 2, we got $200+$200*10%=$200+$20=$220
Week 3, we got $220(1+10%)=$220(1.10)=$242
Week 4, we got $242(1.10)=$266.2
Week 5, we got $266.2(1.10)=$292.82
Week 6, we got $292.82(1.10)=$322.102
[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &220 &242 &266.2 & 292.82 &322.102\end{array}[/tex]
Thank you.
Given g(x) = -x + 4, find g(5).
Answer:
g(5) = -1
Step-by-step explanation:
Let x = 5.
[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]
Answer:
-1
Step-by-step explanation:
g(x)= -x+4
then substitute 5 on x
=-(5)+4=-1
Which of the following systems of linear equations has a solution of (-4,3)? 1. −4x+2y=22 −y=−3x−9 2. −4x+2y=22 y=−3x−9 3. −4x−2y=22 y=−3x−9 4. −4x−2y=22 −y=−3x−9
Hey there! I'm happy to help!
SYSTEM #1
-4x+2y=22
-y=-3x-9
We can multiply both sides of the second equation by -1 to see what y equals.
y=3x+9
We can substitute this value for y into the first equation and solve for x.
-4x+2(3x+9)=22
We use distributive property to undo the parentheses.
-4x+6x+18=22
We combine like terms.
2x+18=22
Subtract 18 from both sides.
2x=4
Divide both sides by 2.
x=2
Our x has to be -4 to be the correct answer, so this option is incorrect.
SYSTEM #2
-4x+2y=22
y=-3x-9
We plug this y value into the first equation to solve for x.
-4x+2(-3x-9)=22
We use distributive property to undo the parentheses.
-4x-6x-18=22
We combine like terms.
-10x-18=22
Add 18 to both sides.
-10x=40
x=-4
We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.
y=-3(-4)-9
y=12-9
y=3
So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9
Have a wonderful day! :D
The Side-Side-Side Similarity Postulate states that if the sides of one triangle are congruent to the sides of another triangle, then the triangles are similar. True or False?
Answer:
Hey there!
This is false, because if the sides of one triangle are congruent to the sides of another, then the triangles are actually congruent. The Side-Side-Side similarity theorem states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.
Hope this helps :)
a line segment lies on the line xy it has endpoints z and v and passes through the point W. which of the following is the correct name for this line segment?
A) VZ
B) VW
C) XY
D) ZW
If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please
If [tex]x-a[/tex] is a factor of a polynomial [tex]P(x)[/tex] then, [tex]a[/tex] is its root.
So [tex]-2[/tex] is a root of [tex]x^3-19x-p[/tex]
[tex](-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30[/tex]
your outlook on the increasing spread of epidmics
Answer:
increasing spread epidemics your outlook
What does not represent an integer
Answer:
An integer is any rational number without a decimal or fraction. This includes negative numbers, and 0. But decimals and fractions are not integers.
Step-by-step explanation:
Brainliest, please!