Answer: n/4-1
Step-by-step explanation:
n/4 means how much each friend would have eaten if the pizza was equally divided and - 1 references to the one slice less he ate.
Find the similarity ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m2
Answer:
4.9
Step-by-step explanation:
In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
The ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m².
The face assumed to be square, hence the area is equal to the square of the length.
36 / 81 = 6 / 9
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Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
A local newspaper was wondering if its average reader lived more than 25 miles from its headquarters. The newspaper surveyed its readers and received 10 responses. Using the results from the current survey and several previous surveys, the newspaper has decided to assume that the population standard deviation for the distance its readers live from its headquarters is 13.2 miles. The local newspaper conducts a one-mean hypothesis at the 5% significance level, to test if the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. (a) H0:μ=25; Ha:μ>25, which is a right-tailed test. (b) z0=0.22, p-value is = 0.41. (c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. We reject H0. We fail to reject H0. At the 5% significance level, the data provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Answer:
We fail to reject H₀.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Step-by-step explanation:
The hypothesis for the statistical test is defined as follows:
H₀ : μ =25 vs. Hₐ : μ > 25
The test statistic value is, z₀ = 0.22.
The p-value of the test is, p-value = 0.41.
The significance level is, α = 0.05.
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
Here, p-value = 0.41 > α = 0.05.
The null hypothesis was failed to be rejected at 5% level of significance.
Conclusion:
There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
2y - 12
2(y -12)
2(y + 12)
2y + 12
Answer:
Step-by-step explanation:
2y - 12 is correct.
2(y - 12) would apply if the problem statement were: "twice the difference of y and 12".
The algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.
Given phrase,
Two times the quantity of a number minus 12.
We need to find an algebraic expression that represents the above phrase.
The given phrase is "Two times the quantity of a number minus 12".
We will separate it into two parts :
- Two times the quantity of a number
- Minus 12
Let the quantity of a number be y.
So we have,
"Two times the quantity of a number" can be written as:
= 2 x y
Adding the other parts "Minus 12" we get:
= 2y - 12
Thus, the algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.
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the volume of a sphere is 4000 pi m^3. what is the surface area of the sphere to the nearest square meter? A. 2,614m^2 B. 3,836m^2 C. 1,307m^2 D. 794m^2
Answer:
A. 2614 m^2 to the nearest square meter.
Step-by-step explanation:
Volume of the sphere
= 4/3 pi r^3 = 4000 pi
4/3 r^3 = 4000
r^3 = 4000 * 3/4 = 3000
r = ∛(3000)
The surface area
=4 pi r^2
= 4 * pi * (∛(3000)^2
= 4 * pi * 208.008
= 2613.91 m^2.
Solve the system of inequalities : |x|<7 |x| ≥5
Answer:
x=5,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.
Next, draw a solid horizontal line at y = 5.
Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7. The result will be a trapezoid-shaped area. All points in this area are solutions to this system of inequalities.
X+ y = 9
X- y = 7
O A. (16, -7)
O B. (8, 1)
O C. (12,-3)
D. (7,0)
Answer:
B. (8,1)
Step-by-step explanation:
x+y=9
x-y=7
x=7+y
Therefore in the equation x+y=9 , x=7+y
(7+y)+y=9
7+2y=9
2y=9-7
2y=2
y=2/2=1
therefore x=7+y
=7+1=8
The solution of the system of equation are,
⇒ (8, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
System of equations are,
x + y = 9 .. (i)
x - y = 7 .. (ii)
Now, We can simplify as;
From (i);
x = 9 - y
Put in (ii);
x - y = 7
9 - y - y = 7
9 - 2y = 7
9 - 7 = 2y
2y = 2
y = 1
From (i);
x = 9 - y
x = 9 - 1
x = 8
Thus, The solution of the system of equation are,
⇒ (8, 1)
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please help me with this if youre feeling generous today! thank you!
Answer:
The answer is number 2 because a positive number is always bigger than a negitive number
PLEASE ANSWER ASAPPPP I WILL MARK BRAINLY
Answer:
The answer is option A.
[tex]7( \frac{x}{8} ) + \frac{3}{4} = - 6[/tex]
Hope this helps you
Answer:
1
Step-by-step explanation:
the two last answers are obviously wrong (if you want I can explain it to you in the comments)
the second one is mathematically wrong
So I am pretty sure the correct answer is the first one
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer: 36 three-point field goals
Step-by-step explanation:
To solve this problem, set up a system of equations. Let's call the number of one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex] and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.
The number of two-point and three-point field goals they made is 27 and 36, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of two points basket be represented by x and the number of three points basket be represented by y.
Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,
22 + x + y = 85
Solving the equation for x,
x = 85 - 22 - y
x = 63 - y
Further given that the total point made is 184. Therefore, the total number of score can be written as,
22 + 2x + 3y = 184
22 + 2(63 - y) + 3y = 184
22 + 126 - 2y + 3y = 184
y = 36
Substitute the value of y in the first equation,
22 + x + y = 85
x = 85 - 22 - 36
x = 27
Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.
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Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
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Help fill in the blanks no
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
Please help i will mark brainliest!
15 points, 5 stars and thanks will be your reward if you answer this question correctly: a(7x+2)=bx+8 a and b are both integers. What is the value of b?
Answer:
b = 28
Step-by-step explanation:
Given
a(7x+2)=bx+8
=> 7ax + 2a = bx + 8
in both the equation there is a term containing x and a term not containing x.
since value of both equation is equal. hence
term containing x on both side will be equal to each and
term independent of x will be equal in both the equation
thus
7ax = bx
2a = 8
=> a = 8/2 = 4
now, plugging a = 4 in 7ax = bx
7*4x = bx
=> b = 7*4x/x = 28.
Thus, value of b is 28.
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i.Radhika answered all the questions and scored 30 marks and get 10 correct answers. ii.Jay also answered all the questions and scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?
Step-by-step explanation:
number of correct answer is x and
number of wrong answer is y
according to question
In the case of Radhika
5x-2y=30
x=10
y=10
In the case of Jay
5x-2y=-12
x=4
y=16
incorrect answer by Radhika is 10 and by jay is 16
Solve the system of linear equations. 3x + y = 9 y − 2x = 4 A) (1, 6) B) (−1, 6) C) (1, −6) D) (−1, −6)
Hey there! :)
Answer:
A) (1, 6)
Step-by-step explanation:
Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:
3x + y = 9
y = -3x + 9
--------------
y - 2x = 4
y = 2x + 4
---------------
-3x + 9 = 2x + 4
Add 3x to both sides:
-3x + 3x + 9 = 2x + 3x + 4
9 = 5x + 4
Subtract 4 from both sides:
9 - 4 = 5x + 4 - 4
5 = 5x
Divide both sides by 5:
5/5 = 5x/5
x = 1. Substitute 1 into an equation to solve for y:
3(1) + y = 9
3 + y = 9
y = 9 - 3
y = 6.
Therefore, the coordinates of the solution are:
A) (1, 6)
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
3x+y = 9
y-2x = 4
Subtracting both equations
=> 3x+y-(y-2x) = 9-4
=> 3x+y-y+2x = 5
=> 3x+2x = 5
=> 5x = 5
Dividing both sides by 5
=> x = 1
Now, Putting x = 1 in the first equation
=> 3(1)+y = 9
=> 3+y = 9
=> y = 9-3
=> y = 6
Ordered pair = (x,y) = (1,6)
A submarine is searching for underwater features with help from an underwater robotic vehicle. At one time the submarine is 55m below the surface, and the underwater robotic vehicle is 227m below the surface. What is the distance between the underwater robotic vehicle and the submarine?
Answer: 172
If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.
-227-55= -172
Absolute value=172
Angles F and H are congruent.
Angles c and e are congruent.
Angles a and g are congruent.
Angles f and c are congruent.
Answer:
Last Choice: Angles F and C are congruent
Step-by-step explanation:
Angles F and C are congruent because they are vertical angles.
All other pairs of angles in the choices are not necessarily congruent.
Please if you can, help me it's needed to. thank you. :)
Answer:
Hey there!
1 liter is equal to 1000 milliliters.
0.25 liters is equal to 250 milliliters.
One mega meter is equal to 1000000 meters.
1.2 Mm= 1200000 meters.
Hope this helps :)
Step-by-step explanation:
1l = 1000ml
Convert 0.25 litres to milliliters
0.25 x 1000 = 250 ml
1 megametre = 1000000
1.2 x 1000000= 1200000m
Find the missing segment in the attached image
Answer:
25 units
Step-by-step explanation:
This problem can be solved by using concept of Basic proportionality theorem.
This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then
segment divided on those two sides are in equal proportion.
Let naem this triangle
the side containing 15 and 6 be AB, with A be point on segment having length 15 units
B be point on segment having length 6 units
c be point on segment having length ? units
DE line parallel to BC
Thus, if apply Basic proportionality theorem. in this then ratio formed will be
15/6 = ?/10
5/2 = ?/10
?= 5/2* 10 = 25
The length of missing segment is 25 units.
help me i need help with this
Answer:
0.421
Step-by-step explanation:
add all numbers: 59 + 68 + 12 + 1 = 140
blue jays: 59
p(blue jay) = 59/140 = 0.421
Answer:
0.421
Step-by-step explanation:
59 + 68 + 12 + 1 = 140
59/140 = 0.421
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
Find the unit price for each size of the peanut butter and determine which size is the better buy? 18 oz- $3.28 22oz-$3.99 28oz-$4.89
Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.
Step-by-step explanation:
Answer: The best option would be the 28 oz option
Step-by-step explanation:
First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.
16 2/3 percent of what number is 72
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
A swimming pool measures 35 feet by 50 feet long. What is the ratio of the length to the length to the perimeter in simplest form?
Answer:
7:10:34
Step-by-step explanation:
1. Ratio outline:
Length 1:Length 2:Perimeter
2. Length 1 = 35 feet
3. Length 2 = 50 feet
4. Perimeter = Length of all sides
- Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170
5. Substitute the values into the ratio outline:
35:50:170
6. Convert into simplest form: Divide by greatest common factor (5)
7:10:34
Solve for x: 2000=5000e^4x
Answer:
x = -0.23
Step-by-step explanation:
2000=5000e^4x
=> e^4x = 2000/5000 = 2/5
taking the natural logarithn on LHS and RHS
ln e^4x = ln2/5
=> 4x lne = ln2/5
we know ln e = 1, also ln a/b = lna - ln b
ln 2 = 0.693, ln 5 = 1.609
4x = ln2 - ln5
4x = 0.693 - 1.609
x = -0.916/4 = -0.229
Thus, x = -0.23 rounded to two decimal place.
What is the volume of the figure below? 2 stacked rectangular pyramids. The pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet. 30 feet cubed 60 feet cubed 90 feet cubed 120 feet cubed
Answer:
60 feet cubed
Step-by-step explanation:
We are told type of pyramid is a rectangular pyramid.
The volume of a rectangular pyramid = 1/3 × Length × Width × Height
We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.
Volume for one of the pyramid =
1/3 × 4 × 5 × 4.5
= 30 cubic feet
Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.
The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.
Answer:
60 ft
Step-by-step explanation:
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
if g(x) = 0, then
x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0
AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.
I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.