Answers
Explanation:
Note how 8 = 2^3 and 27 = 3^3
This means, 8/27 = (2^3)/(3^3) = (2/3)^3
For the last step, I used the rule (a^c)/(b^c) = (a/b)^c
Related Questions
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas? $
Answers
Answer:
b, a, c, b
Step-by-step explanation:
A student claims that more than 55% of the mothers with school-age children worked outside the home. The student finds that a sample of 150 mothers from Bronx New York revealed that 96 were working outside the home. At a significance level of = 0.05, is the student correct?
Answers
Answer:
There is sufficient evidence that the students claim is correct.
Step-by-step explanation:
From the information given:
The population proportion P = 55% = 0.55
The sample size n = 150
The sample mean x = 96
The sampling proportion from the sample mean [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{96}{150}[/tex]
[tex]\hat p =0.64\\[/tex]
The null and alternative hypothesis is:
[tex]H_o : p = 0.55 \\ \\ H_1 : p > 0.55[/tex]
The test statistics can be computed as follows:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.64 - 0.55}{\sqrt{\dfrac{0.55(1-0.55)}{150}}}[/tex]
[tex]Z = \dfrac{0.09}{\sqrt{\dfrac{0.2475}{150}}}[/tex]
[tex]Z = \dfrac{0.09}{\sqrt{0.00165}}[/tex]
Z = 2.22
The P - value = P ( Z > 2.22)
= 1 - P( Z < 2.22)
= 1 - 0.98679
= 0.01321
Since P-value is less than the level of significance ∝ = 0.05
We reject the null hypothesis [tex]H_o[/tex]
Conclusion: There is sufficient evidence that the students claim is correct.
Write the first four terms of the sequence defined by each of the following recursive formulas.
Answers
a1 = 2 and an = an − 1 + 0.5
Madison went to Belk and purchased a sweater for $52. If she had a 15% coupon, what would be the price of
the sweater before tax?
Answers
Answer:
$7.80
Step-by-step explanation:
Find the sum of -3/7and its opposite. [Type your answer as a number.]
Answers
Answer:
The sum of -3/7 and its opposite is 0
Step-by-step explanation:
The problem says to find the sum of -3/7 and its opposite.
The opposite of -3/7 is +3/7
Sum means we need to add -3/7 and +3/7.
[tex]\dfrac{-3}{7}+\dfrac{3}{7}=0[/tex]
As the two fractions have opposite signs, it means when we add them we get the answer as 0.
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answers
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.
Answers
Answer:
Step-by-step explanation:
63
1/7x-5=4
1/7x=9
X=63
PLZ ANSWER ASAP ONLY IF CORRECT
Answers
Answer:
I think it's x=9 y=1
Step-by-step explanation:
3y+5=2y 20x-70=12x+2
+3y +3y -12x -12x
5=5y 8x-70=2
/5 /5 +70 +70
1=y 8x=72
/8 /8
x=9
Answer:
yh thats the answer hopee this work
PLS HELP I NEED IT!!!
There is a population of 100,000 bacteria in a colony. If the number of bacteria doubles every 12
hours, what will the population be 24 hours from now?
Answers
Answer:400,000
Step-by-step explanation:If it doubles every 12 hours then the first 13 gone be 200,000 then 12 hours later it gone 400,000
Please help asap i will give brainliest
Answers
Answer:
area is 20
Step-by-step explanation:
Answer:
20 units squared
Step-by-step explanation:
4(base) x 10(height) = 40
40 / 2 = 20
is the order pairs (-4,2),(-1,2),(-1,-2),(1,0),(2,3) a function ?
Answers
(-1,2) and (-1,-2) makes it not a function
Answer:
No, -1 has two outputs
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
a student records the repair cost for 1717 randomly selected washers. a sample mean of $82.95$82.95 and standard deviation of $14.89$14.89 are subsequently computed. determine the 80�% confidence interval for the mean repair cost for the washers. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
The mean repair cost for the stereos is (63.04, 102.86) with an 80% confidence interval.
What is the critical factor?The critical factor for a 90% confidence interval for the true mean repair cost for stereos is given by;
Critical factor = (x-μ)/(s/√n)
where, x = sample mean repair cost
s = standard deviation of a sample
n = sample of stereos
μ = critical value
We have been given that a student records the repair cost for 17 randomly selected washers. a sample mean of $82.95 and a standard deviation of $14.89 are subsequently computed.
Since we don't know the population standard deviation, we used t statistics to create the 80% confidence interval in this case.
So, the 80% confidence interval for the true mean repair cost, μ is ;
⇒ P(-1.337< t₅ < 1.337) = 0.80
{As the critical value of t at 5 degrees of freedom are -1.337& 1.337 with P = 5%}
⇒ P(-1.337< (x-μ)/(s/√n) < 1.337) = 0.80
⇒ P(-1.337×(s/√n) < (x-μ) < 1.337×(s/√n)) = 0.80
⇒ P(x - 1.337×(s/√n) < μ < x + 1.337×(s/√n)) = 0.80
80% confidence interval for
⇒ μ = (x - 1.337×(s/√n) , x + 1.337×(s/√n))
Here, x = $82.95 , s = $14.89 , and n = 17
⇒ μ = (82.95 - 1.337×(14.89 /√17) , 82.95 + 1.337×(14.89 /√17))
⇒ μ = (63.04, 102.86)
Hence, the mean repair cost for the stereos is (63.04, 102.86) with a 80% confidence interval.
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4x^3(5x) = what,
will mark brainliest
Answers
Answer:
the answer is 20x^4
Step-by-step explanation:
too long to explain, simple answewr
Need help with geometry problems
Answers
1. d. QS ≅ ST.
2. a. ∠A and ∠D are right angles.
3. D is the midpoint of segment AC (statement 2)
Definition of midpoint (reason 3)
SSS postulate (reason 5)
4. b. AC ≅ DC.
5. c. ∠ABC ≅ DBC.
What is the Definition of a Midpoint?The midpoint of a segment is where the segment is divided into two equal parts.
Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.
What is the Definition of Perpendicular Lines?Two lines that are perpendicular to each other will form right angle where they intersect each other.
Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.
For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.
In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.
In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.
In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:
1. d. QS ≅ ST.
2. a. ∠A and ∠D are right angles.
3. D is the midpoint of segment AC (statement 2)
Definition of midpoint (reason 3)
SSS postulate (reason 5)
4. b. AC ≅ DC.
5. c. ∠ABC ≅ DBC.
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help again
álgebra 1
Answers
Answer:
A (4,6)
ok im going to go through this step by step
4(4)=3(6)-2
16=18-2
16=16 (true solution)
18=3(4)+(6)
18=12+6
18=18 (true solution)
A man is carrying a pole of length 5m the pole is measured to the nearest centimetre
Answers
The pole measures 500 centimeters.
We are required to perform unit conversion to find the answer. Conversion of unit requires the relating link between two units. While relating the two units, usually greater unit holds singular or unit value, which is 1. The smaller unit holds value greater than 1, but at equivalent level with first unit. So, as per the known fact, 1 meter is equal to 100 centimeters. Using this formula to find measurement of 5 meters in centimeters.
1 meter = 100 centimeters
5 meters = 100 × 5
Performing multiplication to find the measurement of pole in centimeters
5 meters = 500 centimeters
Therefore, the measurement of pole is 500 centimeters.
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PROVIDING PICTURE PLEASE HELP WILL GIVE BRAINLIEST AND 5 starts TO FIRST CORRECT ANSWER NEED NOW PLEASE AND THANK YOUU
Answers
Answer:
2. yes, the person is walking faster between 40 and 100 seconds
Step-by-step explanation:
I'm very sorry I don't know about the first one that's a little above my knowledge level :(
How many x-intercepts would the function shown below have? F(x)=-5(x^2-7)(x+6)^2(x+1)(4x+1)
Answers
Answer:
5
Step-by-step explanation:
plug this ecuation into desmos graphing calculator(it's a website). Then see how many times the graph crosses the x-axis.
To find the zeroes:
0 of a function means for what value(s) of x will the f(x) or y equal zero(0). To find the zeroes of this function, just see what numbers will make f(x) = 0. Since this equation is already factored, our job is much easier. Focus on small parts of the equation and don't get ovewhelmed by how long it its. For you problem, start by -5(x^2-7). what x will make -5(x^2-7) = 0? As long as (x^2-7) = 0, the whole equation will equal zero since any number times 0 is 0. (x^2-7)=0, move -7 to the right, x^2=7, get squre root of both sides, you will have x=plus or minus[tex]\sqrt{7}[/tex]. This is one of the zeroes. There are many more in this equation since we have more than one x-intercepts. Now using thsi tactic, you can solve for the rest of the zeroes.
there is a calculator called symbolab, It's also a website and it can calculate whatever you need.
The number of x-intercepts is five would be the given function.
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses,
The function is given in the question
F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)
We have to determine the number of x-intercepts that would the function.
F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)
The x-intercept occurs at a point where F(x) = 0
0 = -5(x²-7)(x+6)²(x+1)(4x+1)
-5(x²-7)(x+6)²(x+1)(4x+1) = 0
Here (x²-7) = 0, and (x+6)² = 0, (x+1) = 0, and (4x+1) = 0
x² = 7 , and (x+6) = 0, x = -1 , and 4x = -1
x = ±7 and x = -6 , x = -1 , and x = -1/4
x = 7, -7 and x = -6 , x = -1 , and x = -1/4
Therefore, the number of x-intercepts is five would be the given function.
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The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?
Answers
Answer:
1.75 feet of wood
Step-by-step explanation:
350/200 = 1.75
x/1 = 1.75
Multiply both sides by 1 to isolate x.
x = 1.75
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
45
length of the third side.
Answers
Answer:The three sides have the same length.
Step-by-step explanation:
If this isn’t it, I’m sorry.
Answer:
The 3rd option, "The three sides have the same length."
Step-by-step explanation:
Just took the test.
PLEASE HELP! WILL MARK BRAINLIEST!
What is the slope between points T (9, -3) and U (-4, 1)?
Answers
Answer:
The slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
Step-by-step explanation:
We need to find the slope between points T (9, -3) and U (-4, 1)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
We are given: [tex]x_1=9,y_1=-3, x_2=-4, y_2=1[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-(-3)}{-4-9} \\Slope=\frac{1+3}{-4-9} \\Slope=\frac{4}{-13}\\Slope=-\frac{4}{13}[/tex]
So, slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
Can√3+5 be simplified? If so, how?
Answers
Answer:
2.8
Step-by-step explanation:
I took the test.
Answer:
5+√3(Decimal: 6.732051)
Step-by-step explanation:
√3+5
=5+√3(Decimal: 6.732051)
what is measuring mass
Answers
Answer:
Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.
what property is 8x9x3=3x9x8
Answers
Property which represents the given method (8x9)x3= (3x9) x8 is associative property over multiplication.
As given in the question :
Given method :
(8x9)x3= (3x9) x8
On left hand side (8x9)x3
First we multiply 8×9 =72 and then multiply it to 3
72 ×3=216
On right hand side (3× 9)×8
First we multiply (3×9) =27 then multiply it to 8
27×8=216
Left hand side = right hand side
It represents associative property over multiplication.
Therefore, property which represents the given method (8x9)x3= (3x9) x8 is associative property over multiplication.
The complete question is :
Which property is (8x9)x3= (3x9) x8
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Multiply then write fraction in simplest form
Answers
Answer: 1 7/30
Step-by-step explanation:
(x- 12) /y+z
for x = -23.y = -5, and z =-10
Answers
Explanation:
(-23 - 12)/-5 + (-10)
-35/-15
= 7/3
g(x)=3x−3
If g(x)=-6, then what is x?
Answers
Answer:
x = -1
Step-by-step explanation:
3(-1) - 3
-3 - 3
-6
-6 = -6
Answer: x=-1
Step-by-step explanation:
Substitute g(x) as -6
-6=3x-3
add 3
-3=3x
divide 3
-3/3=-1
x=-1
PLEASE HELP MEEE!! THIS IS DUE IN THE NEXT 45 MINS PLEASEEE HELLPP :((
Answers
They are all true None are false
Doug spent $1.05 on 0.6 pounds of apples.
a.) How much would 3 pounds of apples cost?
Answers
1.75 * 3 = $5.25 for 3 pounds of apple
NEED HELP ASAP!!!
a. Write an equation in slope-intercept form for the above table.
b. Graph the line in part (a).
Answers
Answer:
y=2x+5
Step-by-step explanation:
The y-intercept is when x is o so that will be 5.
To find the slope use the slope formula which is the change of y over the change of x. Choose 2 points.
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{9-7}{2-1}[/tex]=[tex]\frac{2}{1}[/tex]=2