Answers
3√6(-7)+42
3√-42+42
3√0
0
If the number under the square root was negative, then its solutions wouldn't be real numbers. Therefore, x has to be equal to or greater than -7.
Related Questions
Heidi has $4.55. She needs to buy bolts at the hardware store . Bolts cost$0.13 each. How many bolts can Heidi buy.
Answers
Number of bolts she can buy = $4.55 ÷ $0.13 = 35
Answer: 35
One bolt = $0.13
Hence, divide 4.55 by 0.13
[tex]4.55 \div 0.13 = 35[/tex]
Answer : Heidi can buy 35 bolts.
Hope this helps. - M
what is the inch equivalent of 32.5 mm to the nearest 0.0001
Answers
32.5 mm * 1 inch / 25.4 mm = 1.2795275591 inches
or to the nearest .0001 inch,
1.2795 inches
Susan and betsy bought sport supplies for summer camp. susan bought six basketballs and one soccer ball for $27. betsy bought four basketballs and two soccer balls for $22. how much do basketballs cost? how much do soccer balls cost?
Answers
x: cost of each basketball
y: cost of each soccer ball
We now write the system of equations:
6x + y = 27
4x + 2y = 22
Solving the system we have:
x = 4 $
y = 3 $
Answer:
basketballs cost $ 4
soccer balls cost $ 3
How many dimes in 1898.59
Answers
there are 189 whole dimes
Since there are 10 dimes per dollar, you'd multiply $1,898 by 10, to get your final answer (18,985 dimes).
I hope this helps!
15 POINTS
What is the equation of the following graph in vertex form?
(parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity)
y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8
Answers
And y coordinate of vertex is -1 so the answer is B.
Answer with explanation:
→The given curve is Quadratic,having two real roots,as it cuts X axis at two distinct points that is at ,-2 and -4.
→Graph is symmetrical about line , x=-3.
→This curve is a Parabola,opening in upward direction ,that is having Y axis as Axis of Symmetry.
→Parabola is defined as locus of all the points such that distance from fixed point called focus, to distance from fixed line called Directrix ,is always Constant.
→Point which divides PARABOLA in two symmetrical parts is called Vertex having coordinates (-3,-1).
Equation of parabola having vertex ,(-3,-1) and opening in Upward Direction,that is in vertical direction, is given by:
General Equation: Equation of parabola passing through point (a,b) and opening in upward direction and having focus (k,h) is
y-b=4 k× (x-a)²
So, the equation of parabola will be
→y-(-1)=4 k[x-(-3)]²
→y+1==4 k(x+3)²-----(1)
This parabola also passes through (-4,0) and (-2,0).
→0+1=4 k×(-4+3)²
→1=4 k×(-1)²
[tex]1=4 k\\\\k=\frac{1}{4}[/tex]
If you will substitute , x=-2 and y=0 in equation 1,you will get same value of k.
Equation of Parabola ,that is equation 1,can be written as
[tex]y+1=4\times\frac{1}{4}(x+3)^2\\\\y+1=(x+3)^2\\\\ y=(x+3)^2-1[/tex]
Option B: y=(x+3)²-1
N a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. what is the mean?
Answers
If y varies directly as x and y=12 when x=72, find x when y=9
Answers
648 ÷ 12 = 54
x = 54
Hope this helps :)
if a train travels 25 miles in 2 hours and 15 minutes, what is it's average speed in miles per hour?
• 10 mph
• 11.1 mph
• 12.5 mph
• 9.1 mph
Answers
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
At the start of an experiment , there are 30 bacteria dish. The bacteria population is expected to grow at a rate of 180% each day. Which is the best prediction for the bacteria population after 7 years?
A.51,750
B.40,479
C.2682
D.1837
Answers
ending amount = beginning amount * (1.8)^days
7 years = 2,555 days
ending amount = 30 * 1.8^7
ending amount = 30 * 61.2220032
ending amount = 1836.660096 or 1,837 (rounded)
answer is D.
what percentage does the third quartile represent?
Answers
Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry muffins to all muffins?
Answers
hope it helps! <3
Answer:
5:9
Step-by-step explanation:
Ed and Marge were candidates for the city council. Marge won with 93 more votes than Ed. The total number of votes cast in the election was 587. Find the number of votes received by each candidate.
Answers
so ed had 494 votes
I think it would be 494/2=247 votes
Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10.
Answers
You need to use the Pythagorean theorem.
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
The hypotenuse is "c" and each leg is either "a" or "b".
[tex] {10}^{2} + { x}^{2} = {17}^{2} [/tex]
[tex]100 + {x}^{2} = 289 \\ {x}^{2} = 189 \\ x = 13.7477270849[/tex]
The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, what was the price of the jacket? express your answer as a simplified fraction or a decimal rounded to two places.
Answers
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes. Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67
Final answer:
To find the price of the jacket, set up a system of equations with the given information and solve for the jacket's price. The final calculated price of the jacket is $46.67.
Explanation:
The total cost of a jacket and a pair of shoes was $99.15. The price of the jacket was $5.81 less than the pair of shoes. Let's denote the price of the jacket as j and the price of the shoes as s. The problem gives us the following system of equations:
1) j + s = $99.15
2) s = j + $5.81
By substituting equation 2 in equation 1, we get:
3) j + (j + $5.81) = $99.15
Simplify and solve for j:
4) 2j + $5.81 = $99.15
5) 2j = $93.34
6) j = $46.67
Therefore, the price of the jacket is $46.67, which is the answer rounded to two decimal places as the student requested.
Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality mc019-1.jpg to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?
She chose the incorrect relation and should have solved 5x<30
She modeled “average” incorrectly and should have solved x/5<_30
She chose the incorrect relation and should have solved 5x_>30
She modeled “average” incorrectly and should have solved x+5<_30
Answers
Maya made an error in her chosen inequality by focusing on a minimum rather than the goal of breaking or tying the record. Assuming the record is 30, she should have used the inequality 5x >= 30, where x is the average number of home runs needed per week.
Explanation:It appears that Maya has made an error when she chose the inequality to model the situation. Since Maya is trying to break or tie the league record for home runs, she should be considering how many home runs she needs to hit in order to exceed or equal the current record, rather than considering a minimum. Her inequality should reflect the desired goal. If the league record is 30 home runs, for example, and there are 5 weeks left in the season, Maya might want to know how many home runs she must hit on average each week to break the record. Therefore, she should have solved the inequality 5x >= 30, where x represents the number of home runs she needs to hit on average each week.
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A radio station wants to determine whether its audience would like to listen to more rap music. It asks its listeners to call in and participate in a survey. Each listener is asked: “Do you want us to play more rap music or less rap music?” One hundred fifty listeners call in, and their responses are recorded.
What is the focus of the study?
The type of music listeners want to hear.
The playing of rap music.
The number of listeners who respond.
The response of the listeners.
Answers
A radio station made a survey of their listeners to determine whether the audience would like to listen to more rap music. They asked the question “Do you want us to play more rap music or less rap music?” The station recorded one hundred fifty listeners who call in.
The focus of the study is about the playing of the rap music because it is what the question is about. Not the type of music listeners want to hear, nor the number of listeners who respond nor the response of listeners.the response of listeners to give opinion on to play more or less rap music
what is the image of point (3,4) for mapping (x.y) , (x+4, y+6)
Answers
A computer salesperson's monthly income depends on the amount of his sales. his monthly income is a salary of $1575 plus 9% of his monthly sales. write a linear equation for his monthly income for sales of x dollars. ( i=mx+b ).
Answers
Commission = 9% = 0.09
Monthly Sales = x
Monthly income = 1575 + 0.9x
Answer: Monthly income = 1575 + 0.9x
The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
given that,
A computer salesperson's monthly income depends on the amount of his sales.
his monthly income is a salary of $1575 plus 9% of his monthly sales.
Fixed salary = $1575
Commission = 9% = 0.09
Monthly Sales = x
Monthly income = 1575 + 0.9x
Answer: Monthly income = 1575 + 0.9x
Hence, The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.
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The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 14.8 19.1 13.6 21.6 30.8 15.8 14.1 find a 99% confidence interval for the population standard deviation σ.
Answers
To establish a 99% confidence interval for the population standard deviation, we first need to calculate the sample standard deviation of the data. We then use the Chi-Square distribution with the appropriate degrees of freedom to get the interval. The formula [√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)] can be applied.
Explanation:This question refers to constructing a 99% confidence interval for the population standard deviation using the information from a sample. The mentioned sample comprises measures of daily intakes of milk in ounces for ten randomly selected people. To address this, first, we need to calculate the sample standard deviation. After that, we use Chi-Square distribution (χ² distribution) to create the confidence interval for the standard deviation since population standard deviation (σ) is unknown.
Let's denote:
n as number of observations: n=10s as sample standard deviationχ²(α/2,n-1) as the χ² value for α/2 (± z-score for standard normal distribution) with n-1 degrees of freedom99% confidence interval for the population standard deviation σ can be found using the formula:
[√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)]
Here, χ²0.995,n-1 and χ²0.005,n-1 represent the values from χ² distribution table corresponding to 0.005 and 0.995 (For 99% confidence interval, α=1-0.99=0.01. α/2=0.01/2=0.005) with n-1 degrees of freedom.
Please note that all numbers should be rounded according to the context, and the final values are but estimates that should not be treated as 100% accurate.
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The Big Dipper ice cream store charges 25 cents for a cone and 75 cents for each scoop of ice cream added to the cone. What will a customer pay for a double dip ice cream cone?
Answers
Answer: $1.75
He wants technically 2 scoops of ice cream which is 0.75 + 0.75 = $1.50
He only wants 1 cone so thats $0.25
Final Total:
1.50 + 0.25 = $1.75
He will pay $1.75 for a Double Dip Ice Cream Cone!
Which choice is similar to the figure shown?
Answers
Take 45/30, you get 1.5. 1.5 x 20 = 30.
Hope I helped!
Marie is buying an ice-cream sundae. There are 3 sizes of sundaes, 15 different ice-cream flavors, and 5 different toppings. How many ways can Marie choose a sundae?
Answers
[tex]3 \times 15 \times 5 = 225[/tex]
Multiplying them out, you can see that there are 225 different combinations of sundaes
how do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?
Answers
60+25= 85 minutes
Now we should subtract the 42
85-42=43
The Comegna family wants to build a human pyramid when they go to the beach this summer. They will put one person on top and add 2 more people for each descending row.
a. How many people will be in the seventh row?
PLEASE HELP!! the rest are in the attachment
Answers
a. Number of people in the seventh row will be as follows:
d=2
a1=1
n=7
thus the number of people in the 7th row will be obtained using the explicit formula:
an=a1+(n-1)d
a7=1+(7-1)2
a1=1+12
a1=13
b. Total number of people in 7 rows will be calculated using the formula:
sn=n/2(a1+an)
plugging in the values:
s7=7/2(1+13)
s7=7/2(14)
s7=49
c. Total number of people required to make 10 rows will be:
n=10
a1=1
a10=1+(10-1)2
a10=1+18
a10=19
thus
s10=10/2(1+19)
s10=100
It will take 100 children
d. To get the number of rows the Simpsons Pyramid had we shall use the explicit formula:
an=a+(n-1)d
d=4
a1=1
an=37
plugging in the values we get:
37=1+(n-1)4
solving for n:
36=4n-4
40=4n
n=10
thus the number of rows would be 10
e. Total number of people will be:
d=4
n=10
a1=1
Sn=n/2(a1+an)
Sn=10/2(1+37)
Sn=190
PART 2: Geometric sequence and series
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A rectangular floor space in a community center is 40 ft long and 32 ft wide. A volunteer is setting up chairs on the floor space. Each chair needs an area of approximately 4 ft by 5 ft.
Which estimate best approximates the number of chairs that can be set up on the floor space?
A. 20
B. 60
C. 260
D. 320
Answers
Answer:
60
Step-by-step explanation:
Just confirming for the K12 students ;)
GEOMETRY HELP 70 POINTS FAST!!!!!!!
FIND SURFACE AREA. IT’S OKAY IF YOU DID ONE BUT I WOULD PREFER IF YOU DID BOTH THANKS
Answers
9) Surface area = PI x 3 x (3+8.5) = 108.38 yd^2
Because you already have your radius but you need to find your hight. You use a triangle and do a^2+b^2=c^2 and that gives you 9.75. Then plug those two numbers into the surface area of a cone equation.
8)C
Because you need to find something the radius by dividing 18 by 2 which gives you 9. Then you need to find the hight which you make a triangle and do a^2+b^2=c^2 and that gives you 19.98. And plug those numbers into the surface area of a cone formula
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
Answers
We then have to look for the slope changes in the given function,
We have inflection points in:
4 points of the given graph.
Answer:
4 turning points
Explanation:
The turning points are those points where the graph changes direction, i.e. where the function changes from growing to decreasing or from decreasing to growing.
That is the typical behavior of polinomial and it is related with the degree of the polynomial.
In this case, since you have the graph you can directly telling the turning points. Those are near x = - 2, x = -1, x = 1 and x = 2, i.e. four turning points.
Those turning points correspond to local maxima (if the function changes from growing to decreasing) or local minima (if the function changes from decreasing to growing).
The frequency of A4 is 440.00 Hz. What is the frequency of A6, which is two octaves above A4?
A) 110.00 Hz
B) 220.00 Hz
C) 880.00 Hz
D) 1760.00 Hz
Answers
Explanation:
The formula to find the unknown frequency is:
(2^n)*f
Where n = Number of octaves above to the known frequency (A4) = 2
f = Known frequency (of A4) = 440 Hz
Hence
(2^2)*(440)
1760 Hz (of A6)
Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW = YZ
a.
No; you cannot determine that the quadrilateral is a parallelogram.
b.
Yes; two opposite sides are both parallel and congruent.
c.
Yes; opposite sides are congruent.
d.
Yes; diagonals of a parallelogram bisect each other.
Answers
If both pairs of opposite sides of a quadrilateral are congruent, then you'll always have two opposite pairs of parallel sides. Congruent means that they measure the same. Since two congruent sides separating the other pair of opposite sides must always keep those opposite lines the same distance apart, then, the opposite sides are also parallel.
From the information provided a. No; you cannot determine that the quadrilateral is a parallelogram.
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and congruent to each other. The diagonals of a parallelogram bisect each other.
Given XY = WZ and XW = YZ, this means that the opposite sides are congruent.
Just from the information provides, we cannot determine that the quadrilateral is a parallelogram.
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A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.
Answers
To calculate the cone area we need to know the radius.
We do not have the radio, but we have the volume.
So:
r = √(3×V) / h
r = 4,431cm
Now we calculate the generatrix g.
If we make a lateral projection of the cone, we have a triangle whose height is h = 9cm. The base is the radius r = 4,431cm and the hypotenuse is the generatrix g.
So:
g = √(r ²+ h²)
g = 10.03cm
Finally the area of a cone is given by the formula:
A = pi × r ×(g + r)
A = 201.30 cm²