Answer:
B. x ≤ -10 or x ≥ 2
Step-by-step explanation:
9|x+4|≥54
Divide both sides by 9
|x+4|≥6
If it's negative:
-(x+4)≥6
-x-4≥6
Add 4 to both sides
-x≥10
Multiply both sides by -1
x≤-10
If it's positive:
x+4≥6
Subtract 4 from both sides
x≥2
Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?
Answer:
[tex]6\:\mathrm{pages}[/tex]
Step-by-step explanation:
[tex]3 \times 4 = 12[/tex]
[tex]1\frac{1}{2} \times 4=6[/tex]
Answer:
6 pages
Step-by-step explanation:
1.5 pages x pages
--------------- = ------------
3 minutes 12 minutes
Using cross products
1.5 * 12 = 3x
Divide each side by 3
18 /3 = 3x/3
6 =x
6 pages
Please Help! ASAP C: :D
Answer:
C). Zero
Step-by-step explanation:
This is a pretty simple question.
Any number multiplied by zero will be zero, and zero cannot have a positive or negative sign, which is why zero has its own sign, which is known as the Sign of Zero.
What is the equation of the line of best fit that Frank drew?

Answer:
its a
Step-by-step explanation:
A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Birth Weight and number line from 8 to 9 in increments of 1 tenth labeled Birth Weight (in pounds.) with zero dots over 8, zero dots over 8 and 1 tenth, 2 dots over 8 and 2 tenths, 2 dots over 8 and 3 tenths, 2 dots over 8 and 4 tenths, 3 dots over 8 and 5 tenths, zero dots over 8 and 6 tenths, 1 dot over 8 and 7 tenths, zero dots over 8 and 8 tenths, 1 dot over 8 and 9 tenths, and zero dots over 9 box plot with minimum value 8 and 3 tenths, lower quartile 8 and 4 tenths, median 8 and 5 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 5 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 3 tenths, lower quartile 8 and 5 tenths, median 8 and 6 tenths, upper quartile 8 and 7 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
The data provided is as follows:
X Frequency
8 0
8.1 0
8.2 2
8.3 2
8.4 2
8.5 3
8.6 0
8.7 1
8.8 0
8.9 1
9 0
So, the actual data is:
S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).The data set is arranged in ascending order.
The minimum value is, Min. = 8.2
The lower quartile is,
[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],
Q₁ = 8.3.
The median value is,
[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]
Median = 8.4
The upper quartile is,
[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],
Q₃ = 8.5.
The maximum value is, Max. = 8.9.
So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
I took the practice test
Work out
[tex]3 + 2x {?}^{2} [/tex]
for x = 4
[tex]3 + {2x}^{2} \: where \: x = 4. \\ = 3 + 2 \times {4}^{2} \\ = 3 + 2 \times 16 \\ = 3 + 32 \\ = 35[/tex]
hope it helps you :-)The Locust Points idea allows you to define geometric objects just by determining whether or not two distance are equal.
A.) True
B.) False
Answer:
A. True
Step-by-step explanation:
The locus of points idea allows you to define objects in terms of points and given distances.
Answer:
True
Step-by-step explanation:
the students in Mrs. Kranger's class are holding a car wash to raise money for their end- of- year field trip. they washed 45 cars by noon, and their goal is to wash 110 cars by the end of the day. write and solve an addition equation to find c, the number of cars they still need to wash to meet their goal.
Answer:
45 + c = 110
c = 65
Step-by-step explanation:
110 - 45 = 65
Please mark as brainliest!
Answer:
They need to wash 65 more cars to reach their goal.
Step-by-step explanation:
45+c=110
subtract 45 from both sides
c=65
Evaluate the expression for
x = 8, y = 4:
x + 10/y+5
Answer:
2Solution,
X=8
y=4
Now,
[tex] \frac{x + 10}{y + 5} \\ = \frac{8 + 10}{4 + 5} \\ = \frac{18}{9} \\ = 2[/tex]
hope this helps...
Good luck on your assignment..
Alice spent 36 minutes listening to 9 songs. If each song takes the same amount of time, how long would it take Alice to listen to 20 songs?
First divide 36 by 9 and get 4, now you have your number of minutes per song. Now multiply that by 20 to get 80 minutes for 20 songs.
In short: 80 minutes for 20 songs.
hi what is the answer for this
Step-by-step explanation:
first find the side length by
considering a triangle under
the square
[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]
Use the relationship between the side lengths and the
angles opposite those sides. What are the smallest and
largest angles of ALMN?
The smallest angle of the triangle is
The largest angle of the triangle is
Answer:
Smallest angle - ∠M
Largest angle - ∠N
Step-by-step explanation:
In a triangle opposite side of a largest angle is largest and opposite side of a the smallest angle is smallest.
In the given triangle LMN,
Side lengths of the triangle have been given as,
LM = 27 in.
MN = 25 in.
LN = 24 in.
Relationship in these sides will be,
LM > MN > LN
Therefore, relationship in their opposite sides will be,
∠N > ∠L > ∠M
The smallest angle of the triangle is angle M.
And the largest angle of the triangle is angle N.
Solve for x. 4x−4−3x2−16=6x+4 −112 372 −432 112
Answer:
Input interpretation:
solve x×4 x - 4 - 3 x^2 - 16 = 6 x + 4 - 112×372 - 432×112
Results:
x = 3 - i sqrt(90015)
x = 3 + i sqrt(90015)
What is the factored form of the binomial expansion x4 – 16x3 + 96x2 – 256x + 256?
Answer:
(x-4)*(x-4)*(x-4)*(x-4) or (x-4)^4Step-by-step explanation:
x^4 – 16x^3 + 96x^2 – 256x + 256
terms with odd exponents are negative
x^4 has a coefficient of one, so the expression's GCF is 1
Thus, we need to factor out the expression as it is:
(x-4)*(x-4)*(x-4)*(x-4)
Lets multiply it out to check:
(x-4)*(x-4)*(x-4)*(x-4)=
(x^2-8x+16)*(x^2-8x+16)=
x^4−8x^3+16x^2−8x^3+64x^2−128x+16x^2−128x+256=
x^4 – 16x^3 + 96x^2 – 256x + 256
thus, the factored form is:
(x-4)*(x-4)*(x-4)*(x-4) or (x-4)^4
An electrician uses the function f(x) = 60 + 40x to calculate the total cost, in dollars, for a service call that takes x hours to
complete. What does the coefficient 40 represent?
A)
The electrician works 40 hours.
B)
The electrician charges $40 per hour.
Eliminate
The electrician drives 40 miles to work.
D)
The electrician charges a $40 trip charge.
Answer:
(B) The electrician charges $40 per hour.
Step-by-step explanation:
Total cost=fixed cost + variable cost
F(x)=60+40x
Fixed cost =60
Variable cost=40x
x=hours of service
40=40 dollar per hour charge
The coefficient 40 represent the electrician charge of $40 per hour
(B) The electrician charges $40 per hour.
Solve x/-4 - (-8)=12
16
80
-80
-16
Answer:
-80
Step-by-step explanation:
Solve for x for the x value.
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 2 1 cannot be determined
Answer:
0 solution
Step-by-step explanation:
Given
[tex]x^2 + 5x+ 7 = 0[/tex]
Required
Find number of solutions;
The number of solutions can be determined via the value of determinants, D;
Such that
[tex]D = {b^2} - {4ac}[/tex]
By comparing the general form of equation;
[tex]ax^2 +bc x + c = 0[/tex]
with [tex]x^2 + 5x+ 7 = 0[/tex]
This gives
[tex]a = 1\\b = 5\\c = 7[/tex]
So;
[tex]D = {b^2} - {4ac}[/tex] becomes
[tex]D = {5^2} - {4*1*7}[/tex]
[tex]D = {25} - {28}[/tex]
[tex]D = -3[/tex]
The calculated value of D is less than 0;
This implies that [tex]x^2 + 5x+ 7 = 0[/tex] has no real solution
Given area of a rectangle: 7x^2+57x+8
Find Perimeter:
Answer:
Perimeter of the rectangle is 16x+18 units.
Step-by-step explanation:
The area of rectangle is
[tex]7x^2+57x+8[/tex]
First we have to find the factor form of above expression.
Splitting the middle term, we get
[tex]7x^2+56x+x+8[/tex]
[tex]7x(x+8)+1(x+8)[/tex]
[tex](x+8)(7x+1)[/tex]
Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).
Perimeter of a rectangle is
[tex]Perimeter=2(l+b)[/tex]
[tex]Perimeter=2[(x+8)+(7x+1)][/tex]
[tex]Perimeter=2[8x+9][/tex]
[tex]Perimeter=16x+18[/tex]
Therefore, the perimeter of the rectangle is 16x+18 units.
What is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
move up one and over one, 1/1 = 1
WILL MARK YOU BRAINLIEST !!!!
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
[tex]\overline {PM} \cong \overline {ON}[/tex] because they are opposite sides of a parallelogram.
Step-by-step explanation:
First of all, let us have a look at the definition of a parallelogram.
A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.
For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.
The two pair of lines are:
AB, DC and BC, AD
For ABCD to be a parallelogram, the lines
AB and DC must be parallel to each other and AB = DC
AND
BC and AD must be parallel to each other and BC = DA
------------------------------
In the given question, we are given that the quadrilateral MNOP is a parallelogram.
The two pairs opposite lines are OP, NM and PM, ON.
As per the definition of a parallelogram,
OP and NM must be parallel and equal to each other.
AND
PM and ON must be parallel and equal to each other.
[tex]\therefore[/tex] [tex]\overline {PM} \cong \overline {ON}[/tex].
Hence proved.
Which equation is quadratic in form
Answer:
The answer is A because the quadratic equation formula
Step-by-step explanation:
because the quadratic equation formula is
ax^2+bx+c=0
and when you sub A into it, you get it in the needed form
Answer:
The Answer is A
Step-by-step explanation:
If you can please help- I need fast answers and a full description! Describe how to transform the quantity of the fifth root of x to the seventh power, to the third power into an expression with a rational exponent. Make sure you respond with complete sentences.
Answer:
[tex]x^{21/5}[/tex]
Step-by-step explanation:
Step 1: Convert [tex]\sqrt[5]{x^{7}}[/tex] into exponential form
[tex]((x^7)^{1/5})^{3}[/tex]
Step 2: Mulitply the 2 exponents together
[tex](x^{7/5})^{3}[/tex]
Step 3: Multiply the exponents again
[tex](x^{7/5})^{3}[/tex] = [tex]x^{21/5}[/tex]
True/False Worth
points)
(05.02 LC)
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
O False
Answer:
the answer is true
Step-by-step explanation:
Because a parallelogram would be the result.
The area of the numbered triangle on a shuffle board court is 27 ft2.Its height is 3 feet more than the length of the base. Find the length of the base and the height. Base ft Height ft
Answer:
Base = 6ft
Height =9ft
Step-by-step explanation:
Area of a triangle: 1/2 x base length x height
Base = b
Height = b+3
27 = 1/2 x b x (b+3)
27/(1/2) = b (b+3)
54= b^2 +3b
0=b^2 +3b -54
Applying the quadratic formulaFor: ax2+ bx + c
a=1 ; b=3 ; c =-54
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
x =[ -3 ± √(3)²-4(1)-54] /2(1)
x = [ -3± √9 +216] /2
x = [-3 ± √225] /2
x = [ -3 ± 15] /2
Positive:
x = [ -3 + 15] /2 =12/2 = 6
b= 6 ft (base length)
Height =b+3 = 6+3 = 9 ft
Feel free to ask for more if needed or if you did not understand something.
CA=2,AB=3, The angle of C=90 degrees what is the angle of B?
Answer:
m∠B ≈ 41.81°
Step-by-step explanation:
If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,
sin∅ = 2/3
∅ = sin^-1(2/3)
∅ = 41.8103
PLEASE HURRY!!!
Solve for x: the quantity of x plus 4 over 3 = 2. (1 point) x = −2 x = 2 x = 2 over 3 x = negative 10 over 3
Answer:
The third option, x = 2 over 3.
Step-by-step explanation:
x + 4/3 = 2
x = 2 - 1 1/3
x = 2/3
Mark as brainliest!
if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m
Answer:
10
Step-by-step explanation:
m = least prime number = 2
n = least positive integer multiple of 12 = 12
n - m = 12 - 2 = 10
Answer:
10
Step-by-step explanation:
2 is the least prime number because it is not a product of any two smaller natural numbers. m=2
12 is the least positive integer multiple of 12. n=12
12-2=10
Khan academy question
Step-by-step explanation:
There it is..................
Answer:
(2,5)
Step-by-step explanation:
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once. 1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails? A. Sue's estimate is best because she throws it 50 times. B. Sue's estimate is best because she gets more Tails. C. Sue's estimate is best because she throws it more times than Eric 2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answer:
(1) Correct option (A).
(2) The probability that Aadi will get Tails is 0.40.
Step-by-step explanation:
The information provided is:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(T|E)=\frac{3}{10}=0.30[/tex]
[tex]P(T|S)=\frac{20}{50}=0.40[/tex]
Here,
P (T|E) implies the probability of tail in case of Eric's experiment.
P (T|S) implies the probability of tail in case of Sue's experiment.
(1)
Now, it is given that Aadi is going to throw the coin once.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the probability of Aadi getting Tails in a single toss.
As Sue uses a larger number of trials in the experiment, i.e. n = 50 > 30 times, according to the Central limit theorem, Sue's estimate is best because she throws it .
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Aadi will get Tails})=P(T|A)[/tex]
[tex]=P(T|S)\\\\=0.40[/tex]
Thus, the probability that Aadi will get Tails is 0.40.
Answer:
The correct answer is C and 23/60
Step-by-step explanation:
Sue's estimate is best because she throws it more times than Eric.
This is because the more you throw a coin the more reliable the results will be compared to data from a coin that has been thrown less, therefore the answer is C.
For the second half you need to add the number of tails together to get you numerator and then add the amount of times the coin was thrown to get your denominator, (giving you 23/60)
Hope this helped :)
A cylinder has a volume of 1526.04 in3. If the diameter is 18 in, how many inches is the height? Use 3.14 to approximate the value of π. The volume formula for a cylinder is V = πr2h. Answer
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x ≈ 6.9
Step-by-step explanation:
We use tan∅ to solve this:
tan21° = x/18
18(tan21°) = x
x = 6.90955