A. n+4=5
Hope this helps
The life spans, in years, of some plants in a nursery are shown below:
5, 3.2, 4.1, 3.8, 3.1, 3.2, 5.8, 3.8, 4.2, 4.3
Jack made the following box plot to represent the life spans:
box plot shows minimum at 3.1, first quartile at 3.2, median at 3.95, third quartile at 4.8 and maximum at 5.8
Which of the following did Jack show incorrectly on his box plot?
Median
Minimum
First quartile
Third quartile
Jack incorrect plotted the third quartile.
Explanation:
A box plot has 5 data descriptions. The option that Jack marked incorrectly is Median.
How does a boxplot show the data points?A box plot has 5 data descriptions:
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called the second quartile.The last line of the box shows the third quartile.In the given box plot, the median is plotted wrongly, because the median of the box plot is not 3.9.
Hence, the option that Jack marked incorrectly is Median.
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Choose the numbers that are irrational.
3.624
0.6
0.87
-5
Answer:
-5 because the number is before zero which irrational number
A boy and girl ran towards each other. The boy ran at 1 mph and the girl ran at
2 mph. The distance between them when they started was 50 meters. After how much time did they meet each other?
I will give brainliest to whoever answer first!!!!!!!!!! And 99 points!!!!!!!!!!!!!!!! I PROMISE THIS
Step-by-step explanation:
Firstly to facilitate the conversion we need to convert mph to km/h.
50 m= 0.05 km
1 mph= 0.001 km/h
2 mph= 0.002 km/h
For the girl
D=0.05 km
S= 0.002 Km/h
T= 25 h
For the Boy
D=0.05
S= 0.001
T= 50 h
Now to find after how many time they will meet each other, we simply have to add the two times.
So,
25 h + 50 h= 75 h
ANS: 75 h
5 radians is the same as _____.
Round to the nearest hundredth of a degree.
Answer:
286.48°
Step-by-step explanation:
Given in the question that we have to convert 5 rad to degree.
we know that,
π = 180°
1rad = 180°/π
5rad = 180°(5)/π
= 286.4788°
≈ 286.48° (nearest to hundredth)
So 5 rad is 286.48°
[tex]5 \times \frac{180}{\pi} = 286.479[/tex]
if we round it: ans= 286.48
PLEASE HELP QUICK I WILL GIVE BRAINLIEST THIS IS A UNIT TEST!!!!
What is the value of x?
Enter your answer in the box.
x =
A right triangle. The legs are labeled x and 12, and the hypotenuse is labeled 13.
You appear to be missing side A. Here is the equation for that:
a = √(c² - b²)
So do c squared (13 squared) - b squared (12 squared)
= 25
However, the answer is not c squared - b squared, but the SQUARE ROOT of c squared - b squared.
In other words, we want the square root of 25, so your answer is...
5!A line passes through A(3, 7), and B(-4, 9). Find the value of a if C(a, 1) is on the line.
ANSWER
a=-32
EXPLANATION
If C(a,1) is on the line that passes through A(3, 7), and B(-4, 9), then the three points are collinear.
This implies that, when we find the slope using any two points, we should get the same result.
[tex] \frac{9 - 1}{ - 4 - a} = \frac{9 - 7}{ - 4 - 3} [/tex]
We simplify to obtain;
[tex] \frac{8}{ - 4 - a} = \frac{ - 2}{ - 7 } [/tex]
[tex]\frac{8}{ - 4 - a} = \frac{ 2}{ 7 } [/tex]
We cross multiply to get;
[tex]8 \times 7 = 2( - 4 - a)[/tex]
This implies that,
[tex]56 = - 8 - 2a[/tex]
[tex]56 + 8= - 2a[/tex]
[tex]64 = - 2a[/tex]
Divide both sides by -2
[tex]a = \frac{64}{ - 2} [/tex]
[tex]a = - 32[/tex]
Answer:
a=-32
Step-by-step explanation:
Write a polynomial function P(x) with rational coefficients so that P(x) = 0 has the given roots. 2+√2i, 4+i
The polynomial would be p(x) = x⁴ - 12x³ + 55x² -116x + 102
How to write the polynomial with these roots?
We know that the roots must be:
2± √2i and 4 ± i
Then we can write the polynomial as:
p(x) = (x - 2- √2i)*(x - 2+√2i)*(x - 4+i)*(x - 4 - i)
Notice that when x equals any of the roots, the polynomial becomes zero, now just expand the products, we will get:
p(x) = (x - 2- √2i)*(x - 2+√2i)*(x - 4+i)*(x - 4 - i)
p(x) = ((x-2)² + 2 )*( (x - 4)² + 1)
p(x) = (x² - 4x + 4 + 2)*(x² - 8x + 16 + 1)
p(x) = (x² - 4x + 6)*(x² - 8x + 17)
p(x) = x⁴ - 12x³ + 55x² -116x + 102
I need help please???):
Hello There!
The Y-intercept Of this line is -4 because it’s subtracting 4 that’s me as it’s going down on y axis
I'm so confused please helpppppppp
How is C correct please show your work
Answer:
Step-by-step explanation:
She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400. She claims 2 exemptions, so go to the third column labeled 2. The value is 2. That means the $2 is withheld from her paycheck on top of the 6.25% for FICA. The total is therefore:
$2 + (0.0625) ($325)
$22.3125
Rounded to the nearest cent, that's $22.31.
Lenny has a remaining balance on his credit card of $800. His credit card has an APR of 22 percent. How much will he pay in interest in one month?
$14.40
$22.00
$176
$16.00
Answer:
22
Step-by-step explanation:
5.) A contractor is building a deck around a rectangular swimming pool. The deck is x feet from every side of
the pool. Write an expression for the total area of the pool and deck, if the pool is 25 feet long and 20 feet
wide. Find the area of the pool and deck.
The Answer is in the picture below...
the area of the pool and deck can be calculated by using the expression [tex]500 + 90x + 4x^2[/tex]
The dimension of the pool are:
25 ft long and 20 ft wide
We know that the deck extends x ft away from every side of the pool.
Thus, the total length of the pool and deck together is 25 + 2x ft, and the total width is 20 + 2x ft
Area of rectangle can be found using the formula:
[tex]Area = length \times breadth[/tex]
Putting in values we get:
[tex](25 + 2x) \times (20 + 2x)[/tex]
On simplifying we get:
[tex](25 + 2x) (20 + 2x) = 500 + 50x + 40x + 4x^2 \\\\(25 + 2x) (20 + 2x) = 500 + 90x + 4x^2[/tex]
Thus the area of the pool and deck can be calculated by using the expression [tex]500 + 90x + 4x^2[/tex] ft²
A car rents for $230 per week plus $0.25 per mile. Find the rental cost for a three week trip of 600 miles.
(230•3)+(.25•600)=?
690+125=?
815=?
a circles diameter matches the side length of a square. What percent of the square's area is the circle's area?
Answer:
78.5%Step-by-step explanation:
[tex]\text{Let}\ s\ -\ \text{side length of a square. Therefore the diameter d = 2r has }\\\text{length d=s}\to 2r=s\to r=\dfrac{s}{2}.\\r-\text{radius}\\\\\text{The formula of an area of a square:}\\\\A_{\square}=(side\ length)^2\\\\\text{Therefore:}\ A_{\square}=s^2.\\\\\text{The formula of an area of a circle:}\\\\A_O=\pi r^2\\\\\text{Substitute}\ r=\dfrac{s}{2}:\\\\A_O=\pi\left(\dfrac{s}{2}\right)^2=\dfrac{s^2\pi}{4}[/tex]
[tex]\text{Calculate what fraction of the area of the square is the area of the circle}\\\\\dfrac{A_O}{A_{\square}}=\dfrac{\frac{s^2\pi}{4}}{s^2}=\dfrac{s^2\pi}{4}\cdot\dfrac{1}{s^2}\qquad\text{cancel}\ s^2\\\\\dfrac{A_O}{A_{\squera}}=\dfrac{\pi}{4}\\\\\text{Convert to the percent:}\\\\\dfrac{\pi}{4}\cdot100\%=25\pi\%\\\\\pi\approx3.14\to25\pi\%\approx(25)(3.14)\%=78,5\%[/tex]
What is the common ratio of this geometric sequence? 64, 16, 4, 1 ...
answer: 1/4
Answer A I just did this
The longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2). One endpoint of the shorter base is (-1, 4). What are the coordinates of the other endpoint?
Can you explain how to figure this out please.
Answer:
(5,4)
Step-by-step explanation:
We have that the longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2), and one endpoint of the shorter base is (-1, 4).
The best way to find the coordinates of the other endpoint is to draw or sketch the figure on a coordinate grid.
From the graph in the attachment the coordinates of the other endpoints is (5,4).
How could you use a number cube to simulate a baby being born male or female?
A) Rolling a 4 is female and anything else is male.
B) Rolling less than 3 is male and anything else is female.
C) Rolling an even number is female and an odd number is male.
D) Rolling a prime number is female and other numbers are male.
Answer:
C) Rolling an even number is female and an odd number is male.
Step-by-step explanation:
because it would be an even chance for each sex (Male and female)
Hope this helps
Make sure to mark Brainliest!☺
Answer:
C
Step-by-step explanation:
Transform the standard form of the following quadratic function into vertex form and into intercept form.: f(x)= - 3x^2 - 6x + 24 What is the vertex? What are the x-intercepts?
Answer:
f(x)=-3(x+1)^2+27
Step-by-step explanation:
Forst, simplify the expression by pulling out -3, but leave 24 out.
=-3(x^2+2x)+24
Then complete the square of the equatio inside the parenthesis (remember to subtract from the outside what you add to the inside times -3).
=-3(x^2+2x+1)+24+3
=-3(x+1)^2+27
The equation is now in vertex form.
from that, we now know that the vertex is (-1,27).
Set this equation equal to 0 to find the x intercepts:
0=-3(x+1)^2+27
-27=-3(x+1)^2
9=(x+1)^2
3 and -3=x+1
x=2 and -4
Mariana's annual take-home pay is $63,000. What is the maximum amount
that she can spend per month paying off credit cards and loans and not be in
danger of credit overload?
O
A. $4200.00
O
B. $5250.00
O
c. $1312.50
O
D. $1050.00
Answer:
D $1050
Got that on Apex
Final answer:
Mariana can spend a maximum of $1,050.00 per month on credit cards and loans to avoid credit overload, which is 20% of her annual take-home pay divided by 12 months.
Explanation:
Mariana's annual take-home pay is $63,000. To avoid credit overload, financial advisors often recommend that no more than 20% of your annual take-home pay should go towards servicing debt. To determine the monthly amount Mariana can safely allocate to pay off credit cards and loans, we first calculate 20% of her annual take-home pay, and then divide that number by 12 to get the monthly amount.
First, calculate the annual amount: 20% of $63,000 = 0.20 \(*\) $63,000 = $12,600.
Next, calculate the monthly amount: $12,600 / 12 months = $1,050.00 per month.
Therefore, the maximum amount Mariana can spend per month on debt repayment to avoid credit overload is $1,050.00.
30 POINTS PLEASE ANSWER ASAP. The Diagram shows the front wooden wall of the warehouse in the shape of a trapezoid with a rectangular section cut out for the steel door. What is the area of the front wooden wall of the warehouse?
Answer:
900 sq ft
Step-by-step explanation:
The area of a trapezoid is (Base 1 + Base 2) * height/2. So to plug the numbers in...
(30+60)20/2
90*20/2
1800/2
900 sq ft
The correct answer is: 708 square feet
the area of the full shape is 900^2 feet and the area of the door is 192^2 feet therefore 900 - 192 = 708.
Find the value of x.
Answer:
25°
Step-by-step explanation:
The angle shown in a right angle, which is 90°. Let's start with 3x-10. We want to get rid of the 10 so we add 10 as positive and negative cancel each other out. So when we add 10 to 90 we have 100. Now we have x+3x=100. Simplify that to 4x=100. Divide both sides by 4 to isolate the x and the answer is 25. To double check,
• 25×3=75
•75-10=65
•65+25=90
The whole angle is equal to 90 degrees therefore you can make an equation using the two angle values and set it equal to 90 like so...
x + 3x - 10 = 90
Combine like terms ( x and 3x)
(x + 3x) - 10 = 90
4x - 10 = 90
Bring the 10 to the other side by adding it to both sides
4x + (-10 + 10) = 90 + 10
4x + 0 = 100
4x = 100
To further isolate x divide 4 to both sides
4x/4 = 100/4
x = 25
Hope this helped!
~Just a girl in love with Shawn Mendes
A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule
(8x2y2)(3xy)
where y represents the number of white tiles.
Which simplified expression represents the number of colored tiles used for a path of length x feet?
24x3y3
11x3y3
24x2y2
11x2y2
Answer: 24x3y3
Step-by-step explanation:
Answer:
Option 1 - [tex](8x^2y^2)(3xy)=24x^3y^3[/tex]
Step-by-step explanation:
Given : A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule
[tex](8x^2y^2)(3xy)[/tex] where y represents the number of white tiles.
To find : Which simplified expression represents the number of colored tiles used for a path of length x feet?
Solution :
The number of colored tiles needed to make is [tex](8x^2y^2)(3xy)[/tex]
Where, y represents the number of white tiles.
x represents the length of path in feet.
Simplifying the expression,
[tex](8x^2y^2)(3xy)[/tex]
[tex]=8\times 3\times x^2\times x\times y^2\times y[/tex]
We know, [tex]a^m\times a^n=a^{m+n}[/tex]
[tex]=24x^3y^3[/tex]
Therefore, Option 1 is correct.
x= y2+1
3x - 2y = 4.
Which of the following equations could be the result of using substitution to solve
the system?
Answer:
3y² -2y -1 =0
Step-by-step explanation:
X= y²+1 .....(1)
3x - 2y = 4.....(2)
put x in (2) : 3(y²+1 )-2y =4
3y² +3 -2y -4 = 0
3y² -2y -1 =0
Measure the width of the paper clip to the nearest eighth of an inch.
A. 1/2
B. 1/8
C. 3/8
D. 1/4
Answer:
Step-by-step explanation:
d. 1/4
width of clip is 1/4 to the 1 inch
The width of the paper clip to the nearest eighth of an inch is 1/2 inch.
What is Scale division?The smallest subdivision or unit that a scale's digital display can display is a scale division. It's a phrase that's frequently used synonymously with readability or resolution. The scale's capacity can be calculated by dividing it by its readability.
We have to find the width paper clip.
Here, the scale is having 4 division each of marked as 1/4.
So, the paper clip covers
= 1/4 + 1/4
= 2/4
= 1/2
Thus, the width of paper clip in 1/2 inch.
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please help (10 points)
a. addition
b. multiplication
c. division
d. distributive property
Answer:
six plus y
five times j
h divided by eight / h over eight
x plus seven times four
Step-by-step explanation:
Find the value of y.
Please Help Needed Badly!!
Answer:
The measure of angle y is 90°
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
m∠y=(1/2)[180°] -----> because the diameter divide the circle into two equal parts
so
m∠y=90°
m∠x=(1/2)[148°]
m∠x=74°
Answer:
Y = 90
Step-by-step explanation:
Help with those three please!!
Answer:
Part 1) Option A. The axis of symmetry is x=4
Part 2) Option C. minimum
Part 3) Option A. (4,-4)
Part 4) Option B. (2,0) and (6,0)
Step-by-step explanation:
we have
[tex]f(x)=x^{2}-8x+12[/tex]
Part 1) What is the axis of symmetry of the parabola described by the equation above?
we know that
The equation above is a vertical parabola open upward
The axis of symmetry is the x-coordinate of the vertex
Find the vertex of the parabola (convert the equation in vertex form)
[tex]f(x)-12=x^{2}-8x[/tex]
[tex]f(x)-12+16=x^{2}-8x+16[/tex]
[tex]f(x)+4=x^{2}-8x+16[/tex]
[tex]f(x)+4=(x-4)^{2}[/tex]
[tex]f(x)=(x-4)^{2}-4[/tex] ----> equation in vertex form
The vertex of the parabola is (4,-4)
so
The axis of symmetry is x=4
Part 2) The vertex of the equation above is also
we know that
The equation above is a vertical parabola open upward
therefore
The vertex is a minimum
Part 3) What is the vertex of the parabola described by the equation above
we know that
The equation of the parabola into vertex form is equal to
[tex]f(x)=(x-4)^{2}-4[/tex]
therefore
The vertex of the parabola is (4,-4)
Part 4) What are the x-intercepts of the parabola described by the equation above
we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
[tex]f(x)+4=(x-4)^{2}[/tex]
f)x)=0
so
[tex]4=(x-4)^{2}[/tex]
take square root both sides
[tex](x-4)=(+/-)2[/tex]
[tex]x=4(+/-)2[/tex]
[tex]x=4(+)2=6[/tex]
[tex]x=4(-)2=2[/tex]
therefore
The x-intercepts are
(2,0) and (6,0)
I NEED HELP I WILL GIVE BRAINLIEST!!!
Answer:
The probability is 2/5.
Step-by-step explanation:
4/5 is the probability of not getting a 5
1/2 is the probability of flipping heads
4/5x1/2 = 4/10 = 2/5
PLEASE HELP!!
which of the following statements are equivalent to the ratio 10:3? Choose all that apply
1. 28 days to 6 days
2. 120 meters to 8000 meters
3. 2000 pounds to 600 pounds
4. 300 seconds to 20 seconds
5. 250 cents to 75 cents
Answer:
3. 2000 pounds to 600 pounds and 5. 250 cents to 75 cents
Step-by-step explanation:
The ratio is 10:3 so just multiply the first number by ten and the and the second by 3 to see if it matches
ex. 10 x 200= 2000 3 x 200= 600
10 x 25=250 3 x 25= 75
I hope this makes sense, this is kinda hard to physically explain.
The ratio 2000 pounds to 600 pounds and 250 cents to 75 cents are equivalent to 10:3.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
To find the ratio equivalent to the ratio 10:3.
Solve with the help of options,
1.
28 days to 6 days
Write in ratio form,
28 : 6 = 14 : 3
2.
120 meters to 8000 meters
Write in ratio form,
120 : 8000 = 3 : 200
3.
2000 pounds to 600 pounds
Write in ratio form,
2000 : 600 = 10 : 3
4.
300 seconds to 20 seconds
Write in ratio form,
300 : 20 = 15 : 1
5.
250 cents to 75 cents
Write in ratio form,
10 : 3
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Solving equations, thank you!
Answer:
x = -4 or x = 1Step-by-step explanation:
[tex]\dfrac{x}{2x-3}-\dfrac{8-3x}{4x^2-9}=0\\\\\bold{DOMAIN:}\\\\2x-3\neq0\ \wedge\ 4x^2-9\neq0\\\\2x-3\neq0\qquad\text{add 3 to both sides}\\2x\neq3\qquad\text{divide both sides by 2}\\\boxed{x\neq1.5}\\\\4x^2-9\neq0\qquad\text{add 9 to both sides}\\4x^2\neq9\qquad\text{divide both sides by 4}\\x^2\neq2.25\\x\neq\pm\sqrt{2.25}\\\boxed{x\neq-1.5\ \wedge\ x\neq1.5}[/tex]
[tex]\dfrac{x}{2x-3}-\dfrac{8-3x}{4x^2-9}=0\\\\\dfrac{x}{2x-3}-\dfrac{8-3x}{(2x)^2-3^2}=0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{x}{2x-3}-\dfrac{8-3x}{(2x-3)(2x+3)}=0\\\\\dfrac{x(2x+3)}{(2x-3)(2x+3)}-\dfrac{8-3x}{(2x-3)(2x+3)}=0\\\\\dfrac{x(2x+3)-(8-3x)}{4x^2-9}=0[/tex]
[tex]\text{The fraction is equal to 0 if the numerator is equal to 0. Therefore}\\\\\dfrac{x(2x+3)-(8-3x)}{4x^2-9}=0\iff x(2x-3)-(8-3x)=0\\\\\text{use the distributive property}\\\\(x)(2x)+(x)(3)-8-(-3x)=0\\\\2x^2+3x-8+3x=0\qquad\text{combine like terms}\\\\2x^2+(3x+3x)-8=0\\\\2x^2+6x-8=0\qquad\text{divide both sides by 2}\\\\x^2+3x-4=0\\\\x^2+4x-1x-4=0\\\\x(x+4)-1(x+4)=0\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\x=-4\in D\\\\x-1=0\qquad\text{add 1 to both sides}\\x=1[/tex]
Which statements are true about the curve? Check all
that apply.
O The standard deviation of the data is 64.
O The variance of the data is 49.
O The median is 64.
O
The data point 75 is less than one standard
deviation from the mean.
The data point 50 is two standard deviations away
from the mean.
Answer:
B, C, E
Step-by-step explanation:
trust me ;)
The correct statements are true about the curve are as follows;
The variance of the data set is 49.
The median is 64.
The data point 50 is two standard deviations away from the mean.
What is the standard deviation?The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance.
The correct statements are true about the curve are as follows;
1. The variance of the data set is;
σ ² = 7²
σ ² = 49
The variance of the data set is, 49.
2. The median is the middle value of the data set.
The median is 64.
3. The data point 50 is two standard deviations away from the mean.
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