Answer:
2x+2y = 8
Step-by-step explanation:
Simply multiply the first equation x + y=4 by 2:
x + y=4
*2 *2
(x + y)2 = 8
2x+2y = 8
x + y = 4 and 2x+2y = 8 are the same equation. You can't solve x+y = 4, there's infinite number of solutions, just like how you can't solve 2x+2y = 8
Choose the definition for the function.
-x+ 2 x<1
a.y =
{2
1 x + 1 x 21
x + 1 x
b. y = -x+ 2 x < 1 d. y =
{
{-x+ 2 x 21
x>
x + 1 x < 1
=&isíc.y=*+2 x>1
{
Enter
Answer:
B
Step-by-step explanation:
I hope this helps. God bless
Which linear function represents the line given by the point-stope equation y-2= 4(x-3)?
f(x) - 6x-1
f(x)=Bx-6
(((x)-4x-14
(/(x)-4x-10
The linear function that represents the line y - 2 = 4(x - 3), in slope-intercept form, is expressed as: D. f(x)y = 4x - 10.
What is a Linear Function Equation?A linear function equation is expressed as, y = mx + b, in slope-intercept form.
Given the point-slope equation of the function, y - 2 = 4(x - 3), rewrite in slope-intercept form:
y - 2 = 4(x - 3)
y - 2 = 4x - 12
y = 4x - 12 + 2
y = 4x - 10
The linear function would be: D. f(x)y = 4x - 10
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question 12. write the product using exponents
find the value of a in this fig.
Step-by-step explanation:
[tex]1.a + 27 = 90 \: \: (complementary \: angles = 90) \\ a = 90 - 27 \\ a = 63degrees \\ 2. \: x + 101 + 109 + 90= 360 \: (revolution \: angles = 360) \\ x = 360 - (101) - (109) - (90) \\ x = 60degrees \\ 3. \: a + 85 = 180 \: (angles \: on \: str \: line = 180) \\ a = 180 - 85 \\ a = 95degrees \\ b = 85 \: (vertically \: opp \: angle) \\ c = 95 \: (vertically \: opp \: angle)[/tex]
A.
coke corporation paid larry $550 every 3 months (quarterly payment) for the dividends on 500
shares invested in the company. the current stock price is $600 per share.
how much did he make in dividends for the year?
b. what was the quarterly dividend per share?
c. what was the annual dividend per share?
d. what was the dividend yield (percent)?
Answer:
i think its b sorry if im wrong
Step-by-step explanation:
A board 18 inches long is cut into two pieces in the ratio 1:2. Find the length of each piece.
NEED HELP PLEASE ANSWER ASAP! (44)
Answer:
[tex]-3x^2 * x = -3x^3\\y * y = y^2[/tex]
[tex](-3x^2y)(5xy^2 + xy)\\[/tex]
Use F.O.I.L, (First Outer Inner Last) to multiply. Start with -3x^y * 5xy^2
Start with similar terms
[tex]-3x^2 * 5x = -15x^3\\y * y^2 = y^3\\Therefore,\\-15x^3y^2[/tex]
Move onto the xy portion of the problem
[tex]-3x^2y(xy)\\[/tex]
Start with similar terms
[tex]-3x^2 * x = -3x^3\\y * y = y^2\\Therefore,\\-3x^3y^2[/tex]
Combine the two together
[tex]-15x^3y^3 - 3x^3y^2\\[/tex]
The answer is Option A
Answer:
44. (1) -15x³y³ - 3x³y²
Step-by-step explanation:
Question 44
-3x²y (5xy² + xy)(1) -15x³y³ - 3x³y²Can anybody please help me on this question??
Answer:
The answer would be 3.8.
Step-by-step explanation:
Hope this helps!
Answer:
35\9 or 3.8
Step-by-step explanation:
[tex]\sf 7 \times \cfrac{5}{9} [/tex]
Let's combine numbers in one fraction.
[tex]\sf \cfrac{7 \times 5}{9} [/tex]
Multiply 7 and 5 which will give you 35.
[tex]\sf \cfrac{35}{9} [/tex] or [tex]\sf 3.8[/tex]
A motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in still water and the rate of the current.
b = speed of the boat in still water
c = speed of the current
when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.
now, going either way the boat travelled the same 18 miles.
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&18&b-c&4.5\\ Downstream&18&b+c&2 \end{array}\hspace{5em} \begin{cases} 18=(b-c)4.5\\\\ 18=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{18=(b-c)4.5}\implies \cfrac{18}{4.5}=b-c\implies 4=b-c\implies \boxed{4+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{18=[~(4+c)+c~]2}\implies \cfrac{18}{2}=4+2c\implies 9=4+2c \\\\\\ 5=2c\implies \blacksquare~~ \cfrac{5}{2}=c ~~\blacksquare\hspace{5em}4+\left( \cfrac{5}{2} \right)=b\implies \blacksquare~~ \cfrac{13}{2}=b ~~\blacksquare[/tex]
Evaluate the following expression. 7^0=?
Answer:
1
Step-by-step explanation:
7^0 = 1
Note : -
( Any number )^0 = 1
can someone help me with this 10th grade sector problem? This is 10th grade geometry, I will reward brainliest! Also please show your work!
Answer:
841854.7 ft²
Explanation:
[tex]\sf Formula \ for \ area \ of \ sector = \dfrac{\theta}{360 } \ x \ \pi r^2[/tex]
Here given:
θ = 60°radius (r) = 1268 ftHence solve for area of sector:
[Insert values]
[tex]\rightarrow \sf \dfrac{60}{360 } \ x \ \pi (1268)^2[/tex]
[simplify]
[tex]\rightarrow \sf 841854.6778[/tex]
[round to nearest tenth]
[tex]\rightarrow \sf 841854.7[/tex]
Answer:
841,854.7 ft²
Step-by-step explanation:
The area of the sector can be found using the appropriate area formula. The central angle in radians is required.
A = 1/2r²θ . . . . where r is the radius, and θ is the central angle in radians
__
The 60° angle corresponds to 60° × π/180° radians, or π/3 radians. The area of the 60° sector is then ...
A = 1/2(1268 ft)²(π/3) = 803912/3π ft² ≈ 841,854.7 ft²
Devin does not have to plow an area of about 841,854.7 square feet.
__
Additional comment
At 43560 ft² per acre, that's about 19.3 acres.
x-y=5
3x+y=3 can you pleas help me find x and y
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
You collect a random sample of size n from a population and calculate a 95% confidence
with an increased margin of error?
O Use a 98% confidence level.
O Use a 90% confidence level.
O increase the sample size.
O Use the same confidence level, but compute the interval n times. Approximately 5% 0
© Nothing can guarantee that you will obtain a larger margin of error. You can only say
In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network site. Six of 10 teenagers said they use Mybook as
their primary social network site. A 95% confidence interval to estimate the true proportion of teenagers who use Mybook as their primary social network site is found to
be (0.2964, 0.9036). Which of the following is a correct interpretation of the confidence level?
O Ninety-five percent of all samples of this size would yield a confidence interval of (0.2964, 0.9036).
O There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).
O Ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use Mybook as their primary
social network site
O Ninety-five percent of all the samples of size 5,000 lie in the confidence interval (0.2964, 0.9036).
O There is a 95% chance that randomly selected teenagers will be part of the 60% who use Mybook as their primary social network site.
(05.04 MC)
Leon wants to estimate the proportion of the seniors at his high school who like to watch football. He interviews a simple random sample of 50 of the 200 seniors on
campus. He finds that 32 like to watch football. Is the random condition for finding confidence intervals met? Explain.
O Yes, the random condition for finding confidence intervals is met because np = 32 and n(1 - P) = 18, both of which are greater than 10
O Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.
O No, the random condition for finding confidence intervals is not met because np = 32 and n(1 - p) = 18, both of which are less than 100
O No, the random condition for finding confidence intervals is not met because the sample is not at least 50% of the population
O Yes, the random condition for finding confidence intervals is met because the sample is a simple random sample.
Cilantro tastes like soap to some people. This soap taste is inherited through the olfactory receptor gene OR6A2. About 14% of the population has this gene. You wa
to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 3% margin of error and 95% confidence, to estimate the
proportion of people who carry the OR6A2 gene?
O 514 people
O 134 people
O 17.689 people
O 35 people
01.028 people
The faculty members at McAdenville High School want to determine whether there are enough students to have a Winter Formal. Sixty-three of the 150 students
surveyed said they would attend the Winter Formal. Construct and interpret a 99% confidence interval for p.
O The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31 62% and
52.38%.
© The 99% confidence interval is (0.3162, 0.5238). There is a 99% chance that a randomly selected student who will attend the Winter Formal lies between
31.62% and 52.38%
O The 99% confidence interval is (0.3162, 0.5238). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.3162, 0.5238).
O The 99% confidence interval is (0.4762, 0.6838). We are 99% confident that the true proportion of students attending the Winter Formal is between 47 62%
and 68.38%
O The 99% confidence interval is (0. 4762, 0.6838). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.4762, 0.6838)
PLEASE HELP ASAP, please don’t waste my time if you don’t know what your talking about THANK YOU GUYSSS
A strategy which would produce a new confidence interval with an increased margin of error is to: A. use a 98% confidence level.
What is a confidence interval?A confidence interval simply refers to a range of estimated values which defines the probability that a population parameter will lie within it.
How to calculate the margin of error?Mathematically, a margin of error is calculated by using this formula:
[tex]MOE_{\gamma}=Z_{\gamma} \times \sqrt{\frac{\sigma^2}{n} }[/tex]
From the above formula, we can deduce that the margin of error is directly proportional to the critical value and inversely proportional to the square root of sample size.
This ultimately implies that, increasing the confidence level from 95% to 98% would increase the critical value and by extension the margin of error and vice-versa.
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Which of the following is a line segment in the drawing that connects two parallel lines?
DA
BE
AE
AB
Answer:
BE
Step-by-step explanation:
please help!! need this done by today or it will affect my matriculation
Does anybody know this?The two pentagons shown are similar if the area of the smaller pentagon is 232m^3 find the area of the larger pentagon
Answer:
(a) 362.5 m²
Step-by-step explanation:
The ratio of areas is proportional to the square of the ratio of side lengths.
__
scale factorlarger/smaller = (35 cm)/(28 cm) = 5/4
areaThe larger area is the square of this scale factor times the smaller area.
(5/4)²(232 m²) = 362.5 m²
_____
Additional comment
We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².
AB = ?
does anyone know?
Answer:
AB = 6.97 (nearest hundredth)
Step-by-step explanation:
Sine Trigonometric Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = 35°O = AC = 4 unitsH = ABSubstitute the given values and solve for AB:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]
[tex]\implies \sf AB=6.973787182...[/tex]
Therefore, AB = 6.97 (nearest hundredth)
Felisha has 32 fluid ounces of pineapple juice. does she have enough pineapple juice to make one recipe?
Answer:
It depends
Step-by-step explanation:
Based on the given info it depends on how much the recipe calls for. 32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints. I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)
Answer:7
Step-by-step explanation:
An equations that has zero POI with 2x -6y = 12
(must have different values)
Answer: Y= 1/3x - 2
Step-by-step explanation:
how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation
Answer:
Here is the long division
Step-by-step explanation:
If f(x) = 2x + 7, find f(5)
Answer:
17
Step-by-step explanation:
f(x) = 2x+7
Let x =5
f(5) = 2*5 +7
= 10+7
= 17
Round your answers to the nearest cent.
f(0) =
meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(10)
, meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(67.5)
meaning the cost of buying
gallons of paint would be
This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the
function is
=
This interpretation
=
This interpretation
The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
How to interpret the function values?The equation of the function is given as:
f(x) = 9√x
When x = 0, 10 and 67.5, we have:
f(0) = 9√0 = 0
f(10) = 9√10 = 28.5
f(67.5) = 9√67.5 = 73.9
Hence, the interpretations of the function values are:
The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
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what is the exponent of 24?
Answer:
576
Step-by-step explanation:
24 squared which means 24 multiplied by itself(24)
I hope my answer is okay
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns
Write a quadratic function f whose zeros are 2 and 5.
Answer:
[tex] {x}^{2} - 7x + 10 = 0[/tex]
Step-by-step explanation:
[tex](x -2)(x - 5) = 0[/tex]
[tex] {x}^{2} - 7x + 10 = 0[/tex]
calculate the magnitude of the angle ABC from the breeze data
Answer:
∠ ABC = 67°
Step-by-step explanation:
the angle between a tangent and a chord is equal to the angle in the opposite segment, that is
∠ ABC = ∠EAC = 67°
A rectangular garden has a length of 6 feet and a width of 3 1/3 feet. Maria wants
to know the area of the garden so she can plan what to plant. Help Maria
determine the area.
Answer:
20 ft²
Step-by-step explanation:
Formula :
Area = length x widthSolving :
Area = 6 x 3 1/3Area = 18 + 2Area = 20 ft²solve for x in this proportion.
3/63=16/x
Answer:
3=6
63=x
x×3 =63×3
x×3= 189
3 3
x=63.
HOPE IT HELPS,BRAINLIEST PLEASEal. Rajeshwari prepared 24 kg sweets to be distributed on Diwali. She packed the sweet in boxes. Each box contained kg. a.How many boxes of sweets were prepared? b. How much sweet was left unpacked with her? c.If she has 15 friends, will she be able to distribute the sweets to all her friends?
Answer:
9
Step-by-step explanation:
she have 24kg she gave 15kg so answer is 9
PLEASE HELP!! I WILL MARK BRAINLEST!
Which of the following is the best buy?
4 lb. for $27.60
6 lb. for $41.28
7.5 lb. for $51.63
8 lb. for $55.12