Answer:
[tex]=-2x+14[/tex]
Step-by-step explanation:
[tex]\left(\frac{1}{2}\right)^2\cdot \:8-2x+\left(5+7\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\left(\frac{1}{2}\right)^2\cdot \:8-2x+5+7\\\left(\frac{1}{2}\right)^2\cdot \:8=2\\\left(\frac{1}{2}\right)^2\cdot \:8\\\left(\frac{1}{2}\right)^2=\frac{1}{2^2}\\\left(\frac{1}{2}\right)^2\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\=\frac{1^2}{2^2}\\\mathrm{Apply\:rule}\:1^a=1\\1^2=1\\=\frac{1}{2^2}\\=8\cdot \frac{1}{2^2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{1\cdot \:8}{2^2}\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:8=8\\=\frac{8}{2^2}\\\mathrm{Factor}\:8:\quad 2^3\\\mathrm{Factor\:}8=2^3\\=\frac{2^3}{2^2}\\\mathrm{Cancel\:}\frac{2^3}{2^2}:\quad 2\\\frac{2^3}{2^2}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{2^3}{2^2}=2^{3-2}\\=2^{3-2}\\\mathrm{Subtract\:the\:numbers:}\:3-2=1\\=2\\=2-2x+5+7\\Group\:like\:terms\\=-2x+2+5+7[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:2+5+7=14\\=-2x+14[/tex]
Find the value of the expression: \mid-13\mid\:-\:\mid-6\mid
Answer:
7
Step-by-step explanation:
[tex]\mid-13\mid\:-\:\mid-6\mid[/tex]
7
How to simplify it?
Solve the following:
a) 2(x + 3) = x -4
b) 4(5x - 2) = 2(9x + 3)
Answer:
2x + 6 = x -4
Step-by-step explanation:
a) 2(x + 3) = x -4
multiply 2 by x and 3 to get them out of the parentheses
2*x = 2x 2 * 3 = 6
2x + 6 = x -4
here is a little help so you can go on
Answer:
[tex]\text{a) } 2(x + 3) = x -4[/tex]
[tex]2x+6= x -4[/tex]
[tex]2x+6-6= x -4-6[/tex]
[tex]2x= x -10[/tex]
[tex]2x-x= x -x-10[/tex]
[tex]x=-10[/tex]
[tex]\text{b) } 4(5x - 2) = 2(9x + 3)[/tex]
[tex]20x - 8 = 18x+ 6[/tex]
[tex]20x - 8+8 = 18x+ 6+8[/tex]
[tex]20x = 18x+ 14[/tex]
[tex]20x-18x = 18x-18x+ 14[/tex]
[tex]2x = 14[/tex]
[tex]$\frac{2x}{2} =\frac{14}{2} $[/tex]
[tex]x=7[/tex]
Use the Discriminant to find the nature of roots of the following relation: y = -2x2 + 9x - 7
DO NOT SOLVE.
Answer:
two real roots
Step-by-step explanation:
y = -2x^2 + 9x - 7
This is in the form
ax^2 +bx+c
a = -2 b = 9 c = -7
The discriminant is
b^2 -4ac
(9)^2 - 4(-2) (-7)
81 - 56
25
Since the discriminant is greater than zero, there are two real roots
Which choice is equivalent to the product below? √8*√5 A. 4√10 B. 10√2 C. 2√10 D. √13
Answer:
(C)
Step-by-step explanation:
√8 × √5
= 2√2 × √5
= 2√10
The equivalent expression of √8*√5 is 2√10
How to determine the equivalent expression?The expression is given as:
√8*√5
Evaluate the product
√8*√5 = √40
Express 40 as 4 * 10
√8*√5 = √4 * 10
Take the square root of 4
√8*√5 = 2√10
Hence, the equivalent expression of √8*√5 is 2√10
Read more about equivalent expression at:
https://brainly.com/question/2972832
#SPJ9
I need help with these two questions. I will mark brainliest
Answer:
5. A= pi [tex]r^{2}[/tex] r=radius d=diameter
C= pi 2r/ d
A= pi [tex]6^{2}[/tex]
A= 36pi
_____________________
C=pi 2(6)/12
C=12pi
____________________________________________________________
6. A=pi [tex]4^{2}[/tex]
A=16pi
_____________________
C=pi 2(4)/8
C=8pi
____________________________________________________________
Sorry I couldn't find the symbol for pi
A certain population of insects starts at 16 and doubles every 6 days. What is the population after 60 days?
Please write how you got your answer
Answer:
16384
Step-by-step explanation:
Day 1=16
Day 6=32
Day 12=64
Day 18=128
Day 24=256
Day 30=512
Day 36=1024
Day 42=2048
Day 48=4096
Day 54=8192
Day 60=16384
Riley is saving up to buy a new television. She needs a total of $1,008.30. Riley has saved $200.80 already and earns $80.75 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer: 10 weeks
Step-by-step explanation:
Cos of television = 1008.30
Savings = 200.80
Balance = 1008.30 - 200.80 = 807.50
She needs to work 807.50/80.75 = 10 weeks
Please help and explain!!
i will mark brainliesttt!
Answer:
Δ OPQ ≅ Δ TSU
Step-by-step explanation:
Imagine if these two triangles were to line with one another, so that the lengths of sides QP, and US match knowing that they have similar lengths;
∠ O corresponds to that of ⇒ ∠T, provided they are each right angles,
∠ P corresponds to ⇒ ∠S, knowing that they share common side with length of 25 km so that they match,
Consecutively ∠Q corresponds to ⇒ ∠U, for a similar reason,
Solution; Thus we can conclude that Δ OPQ ≅ Δ TSU
A box contains all the letters of the word UNDERSTAND. What is the probability of
selecting an 'N' first and a 'D' next, if the first letter is replaced?
1/25
3/50
1/10
2/5
Answer:
1/25
Step-by-step explanation:
2/10 for n
2/10 for d
2/10 times 2/10 equals 4/100
which simplifies to
The required probability is [tex]\dfrac{1}{25}[/tex]. So, option A is correct.
Important information:
A box contains all the letters of the word UNDERSTAND.Probability:The number of N's is 2 and the number of D's is 2.
Total number of letters is 10.
Probablity of getting 'N' in first place is [tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex].
The first letter is replaced.
Probablity of getting 'D' in second place is [tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex].
Now, the probability of selecting an 'N' first and a 'D' next is:
[tex]\dfrac{1}{5}\times \dfrac{1}{5}=\dfrac{1}{25}[/tex]
Therefore, the correct option is A.
Find out more about 'Probability' here:
https://brainly.com/question/12995031
what is the value of the angle marked with X?
Answer:
x = 132
Step-by-step explanation:
In a parallelogram,adjacent angles add to 180
Opposite angles are equal
Answer:
132
Step-by-step explanation:
Obtuse angles. It's a parallelogram, not a triangle.
Will mark right answer brainliest
Answer:
the location of the missing vertex of rectangle is (7,-4)
the lenght of the base of rectangle is 12
Step-by-step explanation:
height = 10
base =12
the length of a rectangle is the longest side of rectangle regardless it is vertical or horizontal side
Arjun is twice as old as Shreya. If five years ago his age was three times Shreya's age, then Arjun's present age is
Answer:
Arjun is 20 years old and Shreya is 10 years old.
Step-by-step explanation:
5 YEARS AGO-
Arjun: 2x-5
Shreya: x-5
NOW-
Arjun: 2x
Shreya: x
EQUATION-
2x-5=3(x-5) = 2x-5=3x-15
(add 15 on both sides)
2x+10=3x
(subract 2x from both sides)
x=10
Therefore, Arjun is 20 years old and Shreya is 10 years old :)
hi what is the answer
Answer:
a) pyramid / prism
b)cuboid / rectangle
Step-by-step explanation:
The first shape is a triangular prism. And the second shape is a rectangular prism.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
If the base of the prism is a triangle, then the prism is known as a triangular prism.
a) There are three rectangles and two triangles, then the shape will be a triangular prism.
b) There are four rectangles and two rectangles, then the shape will be a rectangular prism.
More about the rectangular prism link is given below.
https://brainly.com/question/12649592
#SPJ2
A program was created to randomly choose customers at a clothing store to receive a discount. The program claims 22% of the receipts will get a discount in the long run. The owner of the clothing store is skeptical and believes the program's calculations are incorrect. He selects a random sample and finds that 17% received the discount. The confidence interval is 0.17 ± 0.05 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.22 probability? Explain. (2 points)
Part C: Another random sample of receipts is taken. This sample is five times the size of the original. Seventeen percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)
There is 0.25 is in the range of (0.18, 0.26), there is no statistical evidence that the program is not working as intended.
There is statistical evidence that the program makes the discount with a 0.25 probability.
The new margin of error is 0.02.
There is not statistical evidence that the program is working as intended.
Given that,
The program claims 22% of the receipts will get a discount in the long run.
He selects a random sample and finds that 17% received the discount. The confidence interval is 0.17 ± 0.05 with all conditions for inference met.
According to the question,
The confidence interval is 0.22 ± 0.04, this equals, (0.22 + .04), (0.22 - 0.04) or (0.18, 0.26).The fact that 0.25 is in the range of (0.18, 0.26), there is no statistical evidence that the program is not working as intended.
As the established earlier, 0.25 is within the range of( 0.18, 0.26). This means that there is statistical evidence that the program makes the discount with a 0.25 probability.
By using the margin of error formula.
The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n.
From this formula the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%.
This means that the new me is equal to 0.04/2, which equals 0.02, which means that the new margin of error is 0.02.
By using the new me that the new CI is (0.22 ± .02)
This also equals(0 .22 - .02) ,(0 .22 - 0.02) or (0.2, 0.24) Because 0.25 is not within the range of (0.2, 0.24),
There is not statistical evidence that the program is working as intended.
To know about Margin formula click the link given below.
https://brainly.com/question/16576555
4
"Free" items only cost the company that gives them away.
O A.
True
B.
False
Reset
Next
Answer:
I believe the answer is false.
I hope I helped, please correct me if I'm wrong!
nick has 2 cars car A uses petrol car b uses desiel
use technology to determine an approximate solution to the system
y=-0.44x+12.6 and y=-7.21x-55.6. Explain the procedure.
Answer:
The approximate solution to both systems is y = 17.03256 & x = - 10.074
Step-by-step explanation:
Because we have 2 equations we can simply graph each of them simultaneously and find the answer.
First we are going to graph y = - 0.44x + 12.6
Now.. We are going to graph y = - 7.21x - 55.6
Now that we have graphed both of our functions we know that the locations where the two lines meet otherwise known as the intersect is the solution to the equation.
Now that we know coordinate of x at the intersection point of the two lines is: - 10.074, we can input this number in as a substitute for our x because x = - 10.074
Therefor to verify,
y = - 0.44(-10.074) + 12.6
y = 17.03256
and now we substitute y into the other equation and find for x...
17.03256 = - 7.21x - 55.6
x = - 10.074
Eric’s mother wants to help him with his math homework. She puts 24 cookies in the cookie jar. 12 of the cookies are chocolate chip, 8 are oatmeal and 4 are peanut butter. She then has Eric select a cookie from the jar without looking. Next, without replacing the first cookie, Eric picks a second cookie without looking in the jar. What is the probability that Eric will pick an oatmeal cookie first and a chocolate chip cookies second?
Answer:
12% 4% 8%
Step-by-step explanation:
Answer:
4/23
Step-by-step explanation:
there are 8 oatmeal cookies out of the 24 in the jar so the probability of pulling an oatmeal cookie out is 8/24 = 1/3
Then we have 23 cookies in the jar and 12 are chocolate chip
1/3 * 12/23 = 4/23
pls answer this I really need help
Answer:
320 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b are the parallel bases
Here h = 16, a = 18 and b = 12 , thus
A = [tex]\frac{1}{2}[/tex] × 16 × (18 + 12) = 8 × 40 = 320 ft²
Find the area of the parallelogram:
Base = 15 cm
Height = 21 cm
Round to the nearest tenth and include units in your answer
Answer:
area of parellogtam=base *height
Step-by-step explanation:
15*21=315
This should be ab easy 11 points for someone!
Which graph is represented by the piecewise function?
Which of the following sets could be the sides of a right triangle?
{2,3, square root 13} {2,2,4}{1,3, square root 3}
Answer: 2, 3, square root 13
Step-by-step explanation:
Use the Pythagorean Theorem (a^2 + b^2 = c^2)
2^2 = 4
3^2 = 9
4 + 9 = 13
Square root of 13 is c
Answer:
2,3,[tex]\sqrt{13}[/tex]
Step-by-step explanation:
The first choice:
2, 3, [tex]\sqrt{13}[/tex]
Pythagorean theorem states that for a right-triangle of sides a,b and c where c is the hypotenuse; a² + b² = c²
So the hypotunese has to be the longest side of all.
The longest side in this case is [tex]\sqrt{13}[/tex]
So, 2² + 3² must be equal to ([tex]\sqrt{13}[/tex])²
Let's check if its true ...
2² + 3² = ([tex]\sqrt{13}[/tex])²
4 + 9 = 13
13 = 13
Right! Sides 2, 3, [tex]\sqrt{13}[/tex] are sides of a right triangle.
There is no need to check the other sets.Mr. Flores charges $ 530 for car repairs to his credit card, which charges no interest if
paid in full within 9 months. He pays $ 150 the first month. How much must he pay each
month, for the next 8 months so that he pays no interest?
Answer:
$47.50
Step-by-step explanation:
530-150=380
380/8=47.50
Use a scientific/statistic calculator to find the correlation coefficient of the data points (1, 1), (2, 5), (4, 7), (5, 12), and (7, 15). Round the correlation coefficient to the nearest thousandth.
A. 0.978
B. 0.875
C. 0.956
D. 0.819
The correlation coefficient of the points is 0.978
How to determine the correlation coefficient?The points are given as:
(1, 1), (2, 5), (4, 7), (5, 12), and (7, 15)
Next, we calculate the correlation coefficient using a graphing calculator
From the graphing calculator, we have the following calculation summary
X Values
∑ = 19Mean = 3.8∑(X - Mx)2 = SSx = 22.8Y Values
∑ = 40Mean = 8∑(Y - My)2 = SSy = 124X and Y Combined
N = 5∑(X - Mx)(Y - My) = 52R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))r = 52 / √((22.8)(124)) r = 0.978The above means that the correlation coefficient is 0.978
Read more about correlation coefficient at:
https://brainly.com/question/11811889
2{ 5[7 + 4(17 - 9) - 22]}
Answer:
170
Step-by-step explanation:
2{5[7+4(8) -22]}
2{5[7+32 - 22]}
2{5[39 - 22]}
2{5[17]}
2{85}
170
Please help answer ASAP!
Answer:
A, C
Step-by-step explanation:
In order to do this, you should multiply each fraction in the answer choices. Do this by multiplying the numerators together and then multiplying the denominators together. Then divide the numerator product with the denominator product
For example, with [tex]\frac{2}{5}[/tex] x [tex]\frac{6}{7}[/tex] multiply 2 and 6 to get 12. Then multiply 5 and 7 to get 35. Then, divide 12 and 35 to get 12/35
Answer:
A and C.
hope this helps
({2_1} + {4_2}) 4
---------------------- =
2
Plz answer
l'm not sure you need ask google l think so
A weather forecaster suggests the probability of rain on Saturday is 30% and on Sunday there is a 50% chance of rain. If the forecaster’s probabilities are correct what is the probability of no rain all weekend?
Answer:
20%
Step-by-step explanation:
which table of values can be defined by the function y=4x-2?
Hello
I think I know the answer:
D
Please mark my answer and comment so I can figure out what was wrong.
Cheers, Jake