Answer:
k=16
Step-by-step explanation:
To solve this, we can isolate k.
40+k=56.
We can do this by subracting 40 from both sides.
40+k-40=k
56-40=16
k=16
First isolate or get k by itself by subtracting 40 from both sides.
That leaves us with k = 16.
To check our answer, substitute 16 back into the equation.
So we have 40 + (16) = 56 or 56 = 56.
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last number.
Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
which one isn’t a function ?
Answer:
D isn't a function because points intersect vertically on the graph
Step-by-step explanation:
!!!!HELP PLS!!!! 19 POINTS
In equation y=15x+12, what is the 15? *
In equation y=15x+12, what is the 12? *
How would you create a table of values for the equation y=15x+12? *
Answer:
1. Coefficient
2. Constant
3. (0,12)(1,27)(2,42)(3,57)(4,72)
Step-by-step explanation:
Construct one circle with center A passing through point B and another circle with center A passing through C. Circles with common centers are called concentric circles. We’ll refer to the circle that passes through B as AB and the one that passes through C as AC. Besides being concentric, what is the relationship between circles AB and AC? someone please help me
Answer:
The two circles centered at point A are concentric and similar
Step-by-step explanation:
plato
Please help ASAP!!!……………………
Answer:
your answer will be -42,-10,-8,-6
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
When 50 pounds of a compound are produced, the manufacturing cost is described by x
and the selling price is described by x^2 + 8x - 20.
What is ratio of the cost to the selling price when x = 50?
Answer:
45
Step-by-step explanation:
y
What is the surface area of a cone with a radius of 3 meters and a slant of 4
Answer:
A≈65.97m²
Step-by-step explanation:
A=πrl+πr2=π·3·4+π·32≈65.97345m
In a club there are 10 women and 7 men. A committee of 6 women and 4 men is to be chosen. How many different ways are there to select the committee?
A) 1,680 ways
B) 27 ways
C) 7,350 ways
D) 127,008,000 ways
Answer:
c
Step-by-step explanation:
⇒
10×3×7×7×5=7350ways
A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate
Answer:
D
Step-by-step explanation:
D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.
Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.
Answer:
A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
Step-by-step explanation:
Since the options of the drop down menu are not included, you should choose any option similar to lowest.
Aisha's highest score was obtained in turn 2 and that is 10.
Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.
(-4, -5) (3, 4) Slope:
(0, -2) (5, -1) Slope:
(-5, -1) (5, -3) Slope:
(-5, -5) (-1, 5) Slope:
(-2, 0) (4, 1) Slope:
I WILL GIVE BRANLIEST
Answer
1.M=1
2.3/5
3.(NO SOLUTION)
4.0
5.1/2 =0.5
Step-by-step explanation:
Y=mx+b
M=(Y2)+(y1)/(x2)+(x1)
1. x1 y1 x2 y2
(-4 , -5) , (3 , 4)
Slope:
M=(4)+(-5)/(3)+(-4)
=-1/-1= 1
2. x1 y1 x2 y2
(0 , -2) , (5, -1)
Slope:
M=(-1)+(-2)/(5)+(0)
=-3/5
3. x1 y1 x2 y2
(-5 , -1) , (5 , -3)
Slope:
M=(-3)+(-1)/(5)+(-5)
=- 4/0=(NO SOLUTION)
4. x1 y1 x2 y2
(-5, -5) (-1, 5)
Slope:
M=(5)+(-5)/(-1)+(-5)
= 0/-6 =0
5. x1 y1 x2 y2
(-2, 0) (4, 1)
Slope:
M=(1)+(0)/(4)+(-2)
= 1/2 =0.5
Find the area of the equilateral triangle
Answer:
An equilateral triangle can be defined as a special type of triangle whose all the sides and internal angles are equal. In an equilateral triangle, the measure of internal angles is 60 degrees.
Step-by-step explanation:
1. Find the volume of both right cylinders.
Answer:
the one with 8 and 6= 1206.37
the one with 4 and 13 = 653.45
Step-by-step explanation:
v=[tex]\pi[/tex]r2h
v=[tex]\pi[/tex]8(2)(6)
v=[tex]\pi[/tex]4(2)13
what is
A, 80cm : 2.5
B,4kg : 1600g
C,5m : 500m
d, 800g : 2kg
f, 5days : 5weeks
h,40sec : 1min
j, 800ml : 1l
l, 10cm : 80cm
pls tell me the answers i will give 5stars
Answer:
......
Step-by-step explanation:
b)4kg:1600g
convert 4kg to grams
4000g:1600g
then divide
=5g:2g
then convert 5g into kg
=0.005kg:2g
f)5 days:5 weeks
multiply 5weeks by 7 u will get 35
5days :35dys then divide by 5
1:7days
=1 day:1 week
h)40 sec:1 min
40 sec:60 sec
then divide both of them by 2
2 sec:3 sec
then take 3 ÷60=0.05 min
=2 sec:0.05 min
A blueberry bush was 13 inches tall. One year later, the bush was 25 inches tall.
Which number sentence shows how many inches the bush grew in one year?
Answer:
12 inches
Step-by-step explanation:
25-13=12
(How much it grew in the last year.)
Estimate a 15% tip on a dinner bill of $81.66 by first rounding the bill amount to the nearest ten dollars.
Answer:
12 dollars
Step-by-step explanation:
Round the bill to the nearest ten dollars
81.66 rounds to 80 dollars
80 * 15%
80 *.15
12
The tip is 12 dollars
Answer:
81.66/100*115 = 93.909 rounding down to $90
Step-by-step explanation:
Line segments AB and BC are tangents to Circle P. What is the value of x?
a.117
b.73
c.107
d.146
Answer:
c. 107°
Step-by-step explanation:
In the figure attached, Circle P, segments AB and BC, and angle x are shown.
From circumscribed angle theorem, we know that angle ABC and angle x are supplementary, then:
x + 73° = 180°
x = 180° - 73°
x = 107°
A right angle is equal to how many angles
Answer:
90 degrees
A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD).
Step-by-step explanation:
Answer:
3 angles
Step-by-step explanation:
there are 3 angles, one a right angle (90 degrees), and the other two are acute angles (45 degrees)
Tom and Sam can finish a plowing job in two hours. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?
Answer:
Step-by-step explanation:
1X+17=121X+17=12
1X=12−171X=12−17
1X=72×7−27×21X=72×7−27×2
1X=7−2141X=7−214
1X=5141X=514
Taking inverse on both sides
X=145=2.8 hoursX=145=2.8 hours
The time taken by Sam is 2.8 hours.2.8 hours.
Find the area please explain
Answer:
It's 243 sq in.
Step-by-step explanation:
You have to multiply the 18 since it the the actual height and 13.5 because it is the width while the 19 is just some random number that has nothing to do with anything.
Answer:
i think its 299 in
Step-by-step explanation:
base 1+base 2 divided by 2 times height
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]-2\frac{1}{4}=\frac{-9}{4}\\\\-1\frac{1}{2}=\frac{-3}{2}\\\\[/tex]
-2 1/4 ÷ -1 1/2 =
[tex]\frac{-9}{4}*\frac{-2}{3}=\frac{3}{2}*\frac{1}{1}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}[/tex]
answer with work pls!!
What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?
x = -4+213
x= -4 = 48
x= -85
323
x = -414,3
2
Answer:
-4 ± 2*sqrt(3)
Step-by-step explanation:
Well I'm not quite sure as to what the x= equations are, but for the solution to this quadratic I just used the quadratic formula. This gave me -8 ± sqrt(48)/2, which can be simplified to -4 ± 2 * sqrt(3). Hope this helps :)
Solve the problem in the image above
Answer:
Step-by-step explanation:
3[tex]x^{4}[/tex]
Answer: 9 √(3^x6)
Step-by-step explanation:
6 cm
4 cm
3 cm
12 cm
What’s the purple? Areas
Answer:
36 cm
Step-by-step explanation:
A = b1 + b2 x h / 1/2
A = 12 + 6 x 4 / 1/2
If you answer can you write how you solved it?
Answer:
[tex]145.3in^2[/tex]
Step-by-step explanation:
[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]
Rudolf has a pool that has a diameter of about 24.26 mm. What is the area of the pool in terms of pi
Answer:
= 147.1369 pi
Step-by-step explanation:
The diameter is 24.26
The radius is d/2 = 24.26/2 =12.13
The area of a circle is
A = pi r^2
= pi (12.13)^2
= 147.1369 pi
Answer:
147.1369
Step-by-step explanation:
i think im wrong not sure. also the answer is not rounded.
The ratio of the measures of two supplementary angles is 8:4. What is the measure of
the smaller angle?
Answer:
the smaller angle = 4x = 4*15 = 60 degrees
Step-by-step explanation:
