Answers
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
Answer:
Perimeter = - 2x - 19
Step-by-step explanation:
[tex]Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\ = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x) + ( \frac{1}{2} \times 8)] \\ = (2x + 10) + ( - 6x - 33) + (2x + 4) \\ = 2x + 10 - 6x - 33 + 2x + 4 \\ = 2x - 6x + 2x + 10 - 33 + 4 \\ = - 2x - 19[/tex]
So, the perimeter is - 2x - 19.
Related Questions
The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the other trinomial? 2x2 − x − 2 2x2 + x + 6 4x2 + 21x + 6 4x2 − 21x – 2
Answers
Answer:
[tex]4x^2-21x-2[/tex]
Step-by-step explanation:
Given that:
Difference of two trinomials is [tex]x^2 - 10x + 2[/tex]
One of the two trinomials is [tex]3x^2 - 11x - 4[/tex]
To find:
The other trinomial = ?
Four options are:
[tex]2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2[/tex]
Solution:
Let the two trinomials be A and B.
Given A - B = [tex]x^2 - 10x + 2[/tex]
B = [tex]3x^2 - 11x - 4[/tex]
We have to find the other trinomial A.
A - B = [tex]x^2 - 10x + 2[/tex]
A - ([tex]3x^2 - 11x - 4[/tex]) = [tex]x^2 - 10x + 2[/tex]
[tex]\Rightarrow[/tex] A = [tex]x^2 - 10x + 2[/tex] + ([tex]3x^2 - 11x - 4[/tex])
[tex]\Rightarrow[/tex] A = [tex]4x^2-21x-2[/tex]
So, the correct answer is [tex]4x^2-21x-2[/tex].
the sum of 5 times a number and 8 is equal to 9
Answers
Answer:
The unknown number is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Let's make the unknown number x.
The sum of 5 TIMES a number (x) & 8 is 9.
Let's write it mathematically.
5x + 8 =9
We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.
5x=1
5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.
x= [tex]\frac{1}{5}[/tex]
Write a short account on farmer with the help of statement given, it says that the Indian farmer is born in dept lives in dept and die in dept.
plese help. need help.
Answers
Answer:
sir Malcolm darling
Step-by-step explanation:
he has said Indian farmer is born in dept lives in dept and die in dept.
) What should be subtracted from -5/3 to get 5/6?
Answers
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
Step 1: Put this into an equation
[tex]-\frac{5}{3} - x = \frac{5}{6}[/tex]
Step 2: Solve for x
[tex]-x = \frac{5}{6} + \frac{5}{3}[/tex]
[tex]-x = \frac{5}{2}[/tex]
[tex]x =- \frac{5}{2}[/tex]
Therefore you need to subtract [tex]-\frac{5}{2}[/tex] from [tex]-\frac{5}{3}[/tex] to get [tex]\frac{5}{6}[/tex]
Answer:i don’t know
Step-by-step explanation:I’m sorry dude I have no idea I tried doing it in the browser and I could not find an answer sorry
Show that the equations x^2-7x+6=0 and y^2-14y+40=0 form a rectangle.Also find the joint equations of diagonals.
Answers
Answer:
1) The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle
2) The joint equations of diagonals are;
5·y = 56 - 6·x and 5·y = 6·x + 14.
Step-by-step explanation:
The equations are;
x² - 7·x + 6 = 0......................(1)
y² - 14·y + 40 = 0.................(2)
Factorizing equation (1) and equation (2) , we get
x² - 7·x + 6 = (x - 6)·(x - 1) = 0
Which are vertical lines at points x = 6 and x = 1
For equation (2) , we get
y² - 14·y + 40 = (y - 10)·(y - 4) = 0
Which are horizontal lines at point y = 4 and y = 10
The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle
2) The points of intersection of the equations are;
(1, 4), (1, 10), (6, 4), and (6, 10)
The end point of the diagonals are;
(1, 10), (6, 4) and (1, 4), (6, 10)
The slope of the diagonals are;
(10 - 4)/(1 - 6) = -6/5 and (4 - 10)/(1 - 6) = 6/5
The equation of one of the diagonals are then, y - 10 = -6/5×(x - 1)
y = -6/5·x + 6/5 + 10 = -6/5·x + 56/5
5·y = 56 - 6·x
The other diagonal is therefore;
y - 4 = 6/5×(x - 1)
y = 6/5·x - 6/5 + 4 = 6/5·x + 14/5
5·y = 6·x + 14.
The joint equations of diagonals are therefore;
5·y = 56 - 6·x and 5·y = 6·x + 14.
which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27
Answers
Answer:
5/3 x 5/3 x 5/3
125/27
5^3/3^3
3 x (5/3)
Step-by-step explanation:
(5/3)^3 = 5×5×5/3×3×3 = 125/27.
In a previous poll, % of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the significance level.
Answers
Answer:
We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
Step-by-step explanation:
The complete question is: In a previous poll, 46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 480 of 1081 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the [tex]\alpha[/tex] = 0.10 significance level.
Let p = population proportion of families with children under the age of 18 who eat dinner together seven nights a week.
So, Null Hypothesis, : p 46% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remains same}
Alternate Hypothesis, : p < 46% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of families = [tex]\frac{480}{1081}[/tex] = 0.44
n = sample of adults with children under the age of 18 = 1081
So, the test statistics =
= -1.32
The value of z-statistics is -1.32.
Also, the P-value of the test statistics is given by;
P-value = P(Z < -1.32) = 1 - P(Z [tex]\leq[/tex] 1.32)
= 1 - 0.9066 = 0.0934
Since the P-value of our test statistics is less than the level of significance as 0.0934 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.
Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
Correct answer gets 5 stars and brainliest
Answers
Answer:
Step-by-step explanation:
C(3 , -2) & D (7, -8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]
≈ 7.2 units
Which Property of real numbers does this equation show? 4 x 1 = 4
Answers
Answer:
This is multiplicative identity in which 4✖️1=4
Step-by-step explanation:
Hope it will help you:)
(01.02 HC)Morris is showing his work in simplifying (−6.7 + 4.3) − 1.2. Step 1: (4.3 − 6.7) − 1.2 Step 2: 4.3 − (6.7 + 1.2) Step 3: 4.3 − (7.9) Step 4: −3.6
Answers
Answer:
Option (C)
Step-by-step explanation:
This question is incomplete; here is the complete question.
Morris is showing his work in simplifying,
(-6.7 + 4.3) - 1.2
Step 1: (4.3 - 6.7) - 1.2
Step 2: 4.3 - (6.7 + 1.2)
Step 3: 4.3 - 7.9
Step 4: -3.6
Which statement is true ?
A). Step 1, Morris used the commutative property.
B). Step 2, Morris used the distributive property.
C). Step 3, Morris used the associative property.
D). Step 4, Morris's answer is incorrect.
In associative property,
a + (b + c) = (a + b) + c
By this property,
(-6.7 + 4.3) - 1.2
Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2
Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]
Step 3, 4.3 - 7.9
Step 4, -3.6
Simplify x + 6.2 + 8.5.
6.2x + 8.5
x + 14.7
14.7x
Answers
Answer:
x + 14.7
Step-by-step explanation:
x + 6.2 + 8.5.
Combine like terms
x + 14.7
________ Or x + 14.7
10
Find each rate and unit rate.
420 miles in 7 hours
Answers
Answer:
60 miles per hour.
Step-by-step explanation:
420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.
Hope this helps!
Answer:
60 miles / hour
Step-by-step explanation:
The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.
miles/hours
We know it is 420 miles in 7 hours.
420 miles / 7 hours
Divide 420 by 7
420/7=60
60 miles/ hour
The unit rate is 60 miles per hour.
In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia
Answers
Answer:
28
Step-by-step explanation:
x = medals won by Russia
y = medals won by China
z = medals won by United States
Write a system of equations:
x + y + z = 96
z = y + 4
x + z = 2y
Substitute the second equation into the first and third:
x + y + y + 4 = 96
x + y + 4 = 2y
Simplify:
x + 2y = 92
x + 4 = y
Substitute for y:
x + 2(x + 4) = 92
x + 2x + 8 = 92
3x = 84
x = 28
Russia won 28 medals.
Which means China won 32 medals and the US won 36 medals.
How to do this question plz answer me step by step plzz plz
Answers
Answer:
194.25meters
Step-by-step explanation:
The distance around the running track is calculated as:
Perimeter of the first semi circle + Perimeter of the second circle +50m + 50m
Semi circle has a length or diameter of = 30m
r = 30/2 = 15m
Perimeter of a circle = 2πr
Hence for a semi circle = 2πr/2 = πr
Perimeter of the first semi circle = π × 15
= 47.123889804m
Perimeter of the second semi circle is the same hence,
π × 15 = 47.123889804m
The distance around the running track
= 47.123889804m + 47.123889804m + 50m + 50m
= 194.24777961m
Approximately= 194.25meters.
Complete the statement with always, sometimes, or never. Explain your reasoning.
An altitude is _____ the same line segment as an angle bisector.
Answers
Step-by-step explanation:
it's ur answers I hope it's helpful
The time required to drive a fixed distance varies inversely as the speed. It takes 2 hr at a speed of 200 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 80 km/h?
Answers
Answer:
5 hours
Step-by-step explanation:
From the question, we are told that:
Time required to drive a fixed distance varies inversely as the Speed
T ∝ 1/S
k = proportionality constant hence,
T =k × 1/S
T = k/S
Step 1
Find k
It takes 2 hr at a speed of 200 km/h to drive a fixed distance
T = 2 hours, S = 200km/h
T = k/S
2 = k / 200
k = 2 × 200
k = 400
Step 2
How long will it take to drive the same distance at a speed of 80 km/h?
S = 80km/h
T = k/S
k = 400
T = 400/80
T = 5
Therefore, it takes 5 hours to drive the same distance at a speed of 80km/hr
HELLLLLPPPPP FASTTTT
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction Negative 3 Negative 2 and one-half 7 7 and one-half
Answers
Answer:
The best estimated value of the expression is negative 3
Step-by-step explanation:
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction
Solution
(34 / 8) - (16 / 3) - (14 / 9)
= 34/8 - 16/3 - 14/9
Find the sum
= 306 - 384 - 112 / 72
= -190 / 72
= -2 46 / 72
= -2 23 / 36
= -2.6389
Approximately -3
The best estimated value of the expression is negative 3
Answer:
The answer is -2 1/2,
Step-by-step explanation:
find the area of quadrilateral ABCD.
Answers
Find the area of each triangle and add them together. Heron’s formula explains it better than me. Lol
Answer:
14.89 units²Step-by-step explanation:
[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]
We can use Heron's formula to calculate area of triangles:
[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex] where:
a, b, c - sides of triangle
s - semi-perimetr of triangle {(a+b+c):2}
ΔACD:
a = 4.39 , b = 3.42 , c = 4.57
s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19
[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]
ΔACD:
a = 5.44 , b = 7.84 , c = 3.42
s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]
[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]
1+2+6+1+4+45+7474747448489
Answers
Answer:
7474747448548
Step-by-step explanation:
I hope this helps
What is the volume of the following rectangular prism?
Answers
Answer:
1/10 units ^3
Step-by-step explanation:
The formula for the volume is given by
V = Bh where B is the area of the base and h is the height
V = 3/20 units ^2 * 2/3 units
= 3/20 * 2/3
= 1/10 units ^3
if 4 is a root of x^2- kx+12=0 , then the value of k and the other roots are what?
Answers
Answer:
k=7
Other root=3
Step-by-step explanation:
If x=4 is a root of the given equation, then it satisfies the given equation.
4^2-k(4)+12=0
We can solve this equation for k.
16-4k+12=0
28-4k=0
28=4k
28/4=k
7=k
So the equation is x^2-7x+12=0
Factor form is (x-3)(x-4)=0 since-3(-4)=12 and -3+-4=-7.
This implies x=3 and x=4 are roots.
Which is most applicable when continuous inspection is used? I-chart, P-chart, c-chart C-bar chart
Answers
There are various charts which represents mathematical and statistical data with graphical representation.
The correct answer for the given question is ,
I - Chart
Since this chart is used to present data for continuous inspection.
The charts are used for representation of inspected data in to structure way which helps understand the changes easily.
I chart is usually used when there is continuous inspection for the data. This type of chart used to monitor the process when measuring data at regular intervals.
Learn more at https://brainly.com/question/24366019
HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
Thank you!!
Answers
Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).
Emergency help will mark brainliest answer
Answers
Answer:
Step-by-step explanation:
Use the formula
[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:
[tex]A(t)=5000(1+.05)^6[/tex] and simplifying a bit:
[tex]A(t)=5000(1.05)^6[/tex] and a bit more:
A(t) = 5000(1.340095641) so
A(t) = 6700.48
Describe fully the single transformation that takes shape A to shape B.
It is a ......
angle ...... degress clockwise
about the point.....
Answers
Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)
Step-by-step explanation:
Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.
NEED HELP ASAP WILL MARK BRAINLIEST
Answers
Answer: answer one is hard to read Answer 2: 0.0020661157
Step-by-step explanation:
Answer:
1. 2.5% of 14000= 350
2. 27.5% of 1760= 484
ux=x+y/k, solve for x
Answers
Answer:
x = y/( ku-1)
Step-by-step explanation:
Here in this question, we are asked to solve for x.
we have;
Ux = x+ u/ k
cross multiply;
k * Ux = x + y
kUx = x + y
kUx- x = y
x(KU-1) = y
x = y/( ku-1)
If the ratio of two supplementary angles is 10 to 47, calculate the measure of the larger of the two angles.
Answers
Answer:
a) 148.52
Step-by-step explanation:
If sum of two angles is 180, then they are supplementary
Ratio = 10 : 47
Smaller angle = 10x
Larger angle = 47x
10x + 47x = 180
57x = 180
Divide both sides by 57
x = 180/57
x = 3.16
Larger angle = 47x = 47 * 3.16 = 148.52
A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?
Answers
Answer:
A. 10.125 minutes
Step-by-step explanation:
A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?
A. 10.125 minutes
B. 10.125 seconds
C. 10.12 seconds
D. 10.1 seconds
The stopwatch measures time to the hundredth of a second.
Option A. Measures the time to thousandth of a minutes
Option B. Measures time to thousandth of a second
Option C measures time to hundredth of a second
Option C measures time to tenth of a second.
Option A. 10.125 minutes is the quantity which is not possible using the stopwatch because it is in MINUTES.
Option B 10.125 seconds can be rounded up to 10.13 seconds (hundredth of seconds).
Suppose you roll a fair six-sided die 25 times. What is the probability that you roll 5 or more 6’s on that die?
A. 0.3883
B. 0.5937
C. 0.5
D. 0.4063
Answers
Answer:
D. P(5+ 6's) = 0.4063
Step-by-step explanation:
Binomial distribution.
For the distribution to be applicable, the experiment must
1. Have a know and constant number of trials
2. Probability of success of each trial remains constant (and known if available)
3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.
4. Independence between trials.
Let
n = number of trials = 25
p = probability of success of each trial = 1 / 6
x = number of successes (0 ≤ x ≤ n) = 5
C(n,x) = number of combinations of picking x identical objects out of n
Applying binomial distribution
P(x,n) = probability of x successes in an experiment of n trials.
= C(n,x) * p^x * (1-p)^(n-x)
For n = 25 trials with probability of success (roll a 6) = 1/6
and x = 5,6,7,8,...25
It is easier to calculate the complement by
P(5+ 6's) = 1 - P(<5 6's)
= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )
1- (
P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961
P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051
P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532
P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883
P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171
)
= 1 - 0.59373
= 0.40626
= 0.4063 (to 4th decimal place)