Answer:
29
Step-by-step explanation:
If you mean the exterior angle at the same vertex as the interior,
(9+k)+(5k-3)=180
9+k+5k-3=180
6k+6=180
6k=174
k=29 degrees
Answer:
29
Step-by-step explanation:
The rise is the
change in a line. The run is the
change in a line.
horizontal
vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
1- vertical
2-horizontal
Step-by-step explanation:
Read the defitions! Hope this helped!
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
Can someone help me on these two questions?
Answer:
first is square and second in not rectangle I think it is trapezium
Pls it’s urgent my homework is due tomorrow PLS HELP
Answer:
i) x= -0.25, x=1.25
ii)x=1.5, x= -0.5 (notice the negative signs)
Step-by-step explanation:
So, to simply solve this(or estimate), notice what the equations say at the end of them!
0 and 2, and also notice the equations are exactly the same as the graph's.
This means, by substitution, we are look for the x-values at y=0, and at y=2
(because they are exactly the same, in those instances, we can just replace the equation with the value of 0, or 2 because they are equal)
Then all we have to do is imagine the lines of y=0(x-axis) and y=2, and find where the parabola intersects those lines.
And so, just find where they intersect, and you have got it!
Hope this helps!
Solve the equation. Then check your solution.
-
(3a + 4) = 7
Helppp
Answer:
1
Step-by-step explanation:
-3a+4 =7
-4. _4
-3a=3
divide by -3 on both sides
a=-1
3+4=7
Answer:
a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66
Step-by-step explanation:
-(3a+4)=7
-3a-4=7
Add 4 to both sides
-3a=11
Multiply both sides by -1
3a= -11
Divide both sides by 3
a= [tex]-3\frac{2}{3}[/tex]
25 POINTS!!!!Which of the following statements are true? Select all that apply.
A + B = B + A
C - D = D - C
B + 0 = B
E - C = E + (-C)
|A| = |E|
Answer:
A+B=B+A
B+0=B
E-C=E+(-C)
Step-by-step explanation:
Answer:
A) A+B = B+A
C) B+0= B
D) E-C= E+(-C)
Step-by-step explanation:
1. At a leather shop, 50 leather jackets were sold in February. The shop keeper at the store wants to encourage the sales team to sell more leather jackets by giving all the sales team members a bonus if the number of leather jackets sold increases by 30% in March. How many leather jackets must the sales team sell in March to receive the bonus?
Answer:
65 shirts.
Step-by-step explanation:
50 is the amount of shirts sold in February.
30% increase=1.3
1.3(50)
65
They need to sell 65 shirts in March to get the bonus.
Which is an equation of the line with slope –3 and passes through (2, –1)?
Question 8 options:
a)
3x + y = 5
b)
–3x + y = 5
c)
y = –3(x + 5)
d)
y = 5x – 3
If two coins are flipped, what is the probability that both coins will not land on heads?
0%
25%
50%
75%
Will mark as brainliest!
Answer:
50%
is the probability of this question
Answer:
25%
Step-by-step explanation:
We have 4 choices when flipping two coins, HH, HT, TH and TT where H and T are heads and tails respectively. The only option where both coins will not land on heads is TT so the probability is 1/4 = 25%.
Abraham currently has a balance of $3,075.21 in an account he has held for 13 years. He
opened the account with an initial deposit of $2,152. What is the simple interest rate on the
account?
2.3%
7.7%
3.3%
11.0%
Answer: 3.3%
Step-by-step explanation:
Amount = prt / 100
3075.21 = (2152 x r x 13)/100
Answer:
the answer is letter c
Step-by-step explanation:
A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?
Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.
what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4
Answer:
maximum point: (0, 4)
x-intercepts: (2, 0), (-2, 0)
y-intercepts: (0, 4)
someone plz help me!!!!!!!!!
Answer:
2 1/4
Step-by-step explanation:
=−514+712
Rewriting our equation with parts separated
=−5−14+7+12
Solving the whole number parts
−5+7=2
Solving the fraction parts
−14+12=?
Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
−14+24=14
Combining the whole and fraction parts
2+14=214
The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.
From the clues given below, can work out where everyone sits?
Note: Seat 1 is next to Seat 2 and Seat 8, etc. Seat 5 is across from Seat 1, and Seat 7 is across from Seat 3, etc. Seat 2 is a higher seat number that Seat 1, etc.
Puzzle Table
1. Harvey has a higher seat number than Jennie.
2. Peter is across from Harvey.
3. Neither Joyce nor Lia is in seat 8.
4. Rick is across from Kenny, and Rick is also next to Joyce.
5. Lia is next to Kenny.
6. Jennie is at Seat 4 and next to Harvey.
7. Peter is next to Lia.
8. Mark has the remaining seat.
Answer:
Seat 1: PeterSeat 2: LiaSeat 3: KennySeat 4: JennieSeat 5: HarveySeat 6: JoyceSeat 7: RickSeat 8: MarkStep-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
Seat 4: JennieSeat 5: HarveyFrom Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
Seat 1: PeterFrom Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
Seat 2: LiaBy Rule 5: Lia is next to Kenny, therefore:
Seat 3: KennyFrom Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Seat 7: RickSince Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Seat 6: JoyceTherefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
algebra 2! what’s the answer to this? will give you all my points.
Answer:
Step-by-step explanation:
this is a radical equation:
when x=1 y=0
reflected about x
-sqrt(x)
right 1 unit
-sqrt(x-1)
it looks like y-int is about (0,1/3)
vertically compressed by a factor of 1/3
-(1/3)sqrt(x-1)
if you think the y-int is more (0,1/4), then
the function is vertically compressed by a factor of 1/4
-0.25sqrt(x-1)
A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?
Answer:
30 3/8 pounds of shortening used.
Step-by-step explanation:
20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625
120- 89.625 = 30.375 pounds
0.375 as a fraction = 3/8 + 30
Therefore the total shortening used = 30 3/8 pounds
How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375
We can do this by multiplying the 0.375 x 2 = 0.750 = 3/4
Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.
1/2 of 3/4 = 3/8
3/8 x 2 = 0.75
0.75 /2 = 0.375
Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).
Answer:
27.4
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+ 34.6+118 = 180
Combine like terms
x+152.6 = 180
Subtract 152.6 from each side
x +152.6-152.6 = 180-152.6
x =27.4
_________________________________
Solution,
x+118+34.6=180°( sum of angle in traingle)
or,x+152.6=180
or,X=180-152.6
X=27.4
The value of X is 27.4 °
hope it helps
Good luck on your assignment
_________________________________
What is the difference between the median number of electoral votes per state and the modal number (mode) of electoral votes?
State | Number of Electoral Votes
=================================
California | 55
Florida | 27
Illinois | 21
Kentucky | 8
Missouri | 11
Nevada | 5
North Carolina | 15
Texas | 34
Utah | 5
======================
A. 50
B. 10
C. 16
D. 11
Answer:
B. 10
Step-by-step explanation:
The median is the middle number, so to find it, we must list the numbers from smallest to largest :
5, 5, 8, 11, 15, 21, 27, 34, 55
The median is 15
The mode is what number occurs most often, which is 5.
The difference will be found by subtracting 5 from 15:
15-5=10
Answer:
10
Step-by-step explanation: you have to find the median number and subtract by 5
5,5,8,11,15,21,27,5
also the median is middle number subtract by 5 because it want the difference number of electoral votes per state
15-5=10
Find the surface area.
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
11 grams of drink mix per ounce of water
Step-by-step explanation:
I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.
Answer:
11 gm mix : 1 ounce water
Step-by-step explanation:
We find 1/7 of 19.75gm = 2.75
Then we multiply by 4 = 11
We have found our ounce rate to be 11 gm : 1 ounce water
Find the area of the trapezoid.
Answer:
40cm^2
Step-by-step explanation:
A=a+b/2×h
A=6+10/2*5
A=16cm/2*5cm
A=8cm*5cm
A=40cm^2
Can someone help me with this ASAP I am so close to the end of this assignment!!!
Answer:
A
Step-by-step explanation:
[tex]\sqrt{(-5 - (-1))^{2} + (7 - 2)^{2} } = \sqrt{41}[/tex]
So the right answer is √41
please see the attached picture for full solution
Hope this helps
Convert -3(x+2)^2-10 into standard form.
Please help me
Answer:
Step-by-step explanation:
At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.
280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$
Answer:
$163
Step-by-step explanation:
Happily, they've given us the equation already.
280 + 5(–5) + (–42) + 2(75) + (–200)
280 - 25 - 42 + 150 - 200
Keep in mind your negative signs!
280 - 67 + 150 - 200
280 - 67 - 50
213 - 50
= $163
This can all be done on the calculator, but it can also be done mentally or written out, as I've done.
Answer:
Crystal had a balance of $163 at the end of the week
Step-by-step explanation:
hope this helped pls give brainliest!
HELP ASAP :(
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
Remove the parentheses and simplify the expression.
2(2y-5)-8
Answer:
4y-18
Step-by-step explanation:
2(2y)+2(-5)-8
4y-10-8
4y-18
Hope this helps!
Answer:
2x2y - 2x5 -8
4y - 10 -8
4y -18
Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.
Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3
Select the ordered pair that is a solution
of this equation.
x-2y = -8
Click on the correct answer.
(2,1)
(2,5)
(5.2)
Answer:
(2,5)
Step-by-step explanation:
Choose values for x and substitute in to find the corresponding y values.
(2) - 2y = -8
2 = 2y - 8
10 = 2y
5 = y
(2,5)
pls help this due before 11:59
Answer:
4th option is the correct answer
35 inches
Step-by-step Explanation:
[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]