Answer:
3z+2= x ; z=5
3(5)+2
15+2
17
Step-by-step explanation:
The value of the given expression at z = 5 is 45.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is 3z²− 6z.
The value of the expression at z = 5 is given as follows,
3z²− 6z
Substitute z = 5 to obtain,
3 × 5²− 6 × 5
= 75 - 30
= 45
Hence, the given expression can be simplified as 45.
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The table shows the time it took a group of students to complete a puzzle.
Time (t) in minutes
Frequency
5
2
10
9
15
20
WOO
25
a) Work out an estimate for the mean time it took the students.
Round your answer to 2 significant figures.
b) What fraction of the students finished in less than 20 minutes?
Answer:
a) The mean time it took the students, t ≈ 17.08 minutes
b) The fraction of the students that finished under 20 minutes is 2/3 of the students
Step-by-step explanation:
a) The mean of the frequency of grouped data is given as follows;
The given data arranged in tabular form is presented as follows;
[tex]\begin{array}{cccc}Time \, (t) \, in \, minutes & Midpoint, m & Frequency, f & Product \ m \cdot f \\5\leq t < 10 & 7.5 & 2 & 15 \\10\leq t < 15 & 12.5 & 9 & 112.5\\15\leq t < 20 & 17.5 & 5 & 87.5 \\20\leq t < 25 & 22.5 & 5 & 112.5 \\25 \leq t < 30 & 27.5 & 3 & 82.5 \\Sum & 87.5 & N = 24 & \Sigma (m\cdot f) = 410 \end{array}[/tex]
Therefore, the mean time it took the students = ∑(f·m)/N = 410/24 = [tex]17\frac{1}{12}[/tex]
The mean time it took the students, t ≈ 17.08 minutes
b) The number of the students that finished under 20 minutes = 2 + 9 + 5 = 16 students
The fraction of the students that finished under 20 minutes = 16/24 of the = 2/3 of the students.
What is a irrational and rational number?
Answer: pi and e are irrational whereas 3/9 repeats like 420/1001 but are rationalized into the fractions above ratio is a fraction
Step-by-step explanation:
really need help on this so please help as soon as you can thanks
Answer:
Option A
Step-by-step explanation:
From the last triangle given in the picture,
x° = 45° + 85° [By the definition of exterior angle of a triangle]
x = 130°
Another way to get the value of x,
By triangle sum theorem,
45° + 85° + y° = 180°
y° = 180° - 130°
y = 50°
And (x° + y°) = 180° [linear pair of angles]
x + 50 = 180
x = 130°
Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130
Option A is the answer.
A train left a station at 8:13 a.m. arriving at its destination at 4:52 p.m. If the stations are 527.65 miles apart, calculate the average
speed at which the train traveled.
A. 71 miles/hour
B. 69 miles/hour
C. 51 miles/hour
D. 61 miles/hour
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Answer:
D. 61 mi/h
Step-by-step explanation:
The travel time is 16:52 -8:13 = 8:39 hours, or 8.65 hours. Then the speed is ...
speed = distance/time = 527.65 mi/(8.65 h) = 61 mi/h
_____
Additional comment
It is often convenient to use "military" or "24-hour" time for calculations of time periods that extend over noon or midnight. For this purpose, 12 gets added to the hour number in the afternoon (pm). Of course, 39 minutes is 39/60 hours. That is found to be 0.65 hours by performing the division of 39 by 60.
Is it bad to have a math assignment you don't get?
Answer:
Yes, if yo get an assignment that you don't get, ask the teacher to explain it to you.
Step-by-step explanation:
Please help I really need it
Answer:
the slope is 3
Step-by-step explanation:
Answer:
m = -1/3
Step-by-step explanation:
You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:
-5/15 = -1/3
This means we have a slope of -1/3.
Alternatively, we could just the points and put them into the slope formula.
We have the points (0,25) and (15,20). We can substitute those values into the formula:
m = y₁ - y₂ / x₁ - x₂
m = 25 - 20 / 0 - 15
m = 5/-15
m = -1/3
Works all the same.
Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.
Answer:
8 hours
Step-by-step explanation:
We are given that
Casi traveled distance in 3 hours=135 miles
We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .
Let time taken by Casi to drive 360 miles=x
We know that
Speed=[tex]\frac{Distance}{time}[/tex]
Using proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{135}{3}=\frac{36}{x}[/tex]
[tex]x=\frac{360\times 3}{135}[/tex]
[tex]x=8[/tex]
Hence, the time taken by Casi to drive 360 miles=8 hours
46.32 - 31.16 rounded
Answer:
15
Step-by-step explanation:
sweet
725% work in an organisation 52% of employees or post graduate and the remaining are not post graduate find the number of employees were not post graduate
Answer: 348
Step-by-step explanation:
Given : Total employees work = 725
Proportion of employees are post graduate = 52%
Proportion of employees are not post graduate = 100%-52% = 48%
The number of employees were not post graduate = 48% of 725
= 0.48 x 725
= 348
Hence, the number of employees were not post graduate = 348
IF YOU ANSWER THE THE QUESTIONS I WILL MARK YOU THE BRAINILY PLSSS HELP
Answer:
4. Obtuse
5. Right
6. Acute
Step-by-step explanation:
Pythagorean Theorem.
a^2 + b^2 = c^2
a + b > c = Acute
a + b < c = Obtuse
a + b = c = Right
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.
Answer:
I say it is 16.8
Step-by-step explanation:
40 x 42
100
= 16.8
The total number of chairs in the audience is 105.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.
Let, 'x' be the total number of chairs.
Therefore, 40% of 'x' is 42 which can be numerically expressed as,
(40/100)×x = 42.
0.4x = 42.
x = 42/0.4.
x = 105.
So, The total number of chairs in the audience is 105.
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6 + 6(x + 4) + 15y + x
Answer:
7x + 15y + 30
Step-by-step explanation:
6 + 6x + 24 + 15y + x
= 7x + 15y + 30
Can some help me with this please
Answer:
A. 8.6 km
B. 34.4 km
Step-by-step explanation:
All the sides of a square have the same value. So because one side is 8.6 km, we know that all the other sides are also 8.6 km.
We get the perimeter by adding up all the sides of a polygon together. Since all the sides are 8.6 km, we can multiply 8.6 by 4. The perimeter is 34.4 km.
please solve this
20×10=
Answer:
20 × 10 = 200
Step-by-step explanation:
Multiply 2 × 1 = 2 and then add the two zeros onto the end to get 200.
The owner of a plant nursery wrote down the number of roses on each bush Roses per bush 115 5 25 45 078 4 5 6 6 269 0223 what the smallest number of roses
Answer:
4
Step-by-step explanation:
Triangle MNP is graphed on a coordinate grid with vertices at M(12, -6), N(3, 3) and P(-6,12). Triangle MNP is dilated by a scale factor of q with the origin as the center of dilation to create triangle M’N’P’. Which ordered pair represents the coordinates of the vertex P’?
A. (12 − q, -6 – q)
B. (-6q, 12q)
C. (3q, 3q)
D. (12q, -6q)
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Answer:
B. (-6q, 12q)
Step-by-step explanation:
The dilation factor (q) multiplies each of the coordinates:
(x, y) ⇒ (qx, qy)
P(-6, 12) ⇒ P'(-6q, 12q)
Can someone answer this please
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not.
Answer:
Yes, he is correct
Step-by-step explanation:
if you translate each letter ABCDE to A"B"C"D"E" exactly how he stated it turns out right. For example, C just go 8 squares up and then 10 to the right and do the same for the rest.
Answer:
Michael is incorrect; The shape would have to be flipped at some point, seeing as point B on ADCDE is on the bottom of the shape, whereas point B" on A"B"C"D"E" is on the top of the shape.
Hope this helps, have a nice day!
Step-by-step explanation:
Wait a sec... I'm Michael, so am I right or am I wrong...? (Big confuse)
Point J(-4,-6) and point K(4,4) are located on a coordinate grid
Which measurement is closest to the distance between point J and point K in units?
A) 18 units
B) 6 units
C) 13 units
D) 9 units
Can someone help me with this?
See the screenshot.
Answer:
Jill and her dog problem/ A
Step-by-step explanation:
I NEED HELP ASAP
What is the slope-intercept equation?
A). y= -8x - 3
B). y= -5/4x + 8
C). y= 4/5x - 8
D). y= -4/5x + 8
Answer:
C. y=4/5x + 8 is the answer
Answer:
The answer is D: y= -4/5x + 8
If f(x) = 2x + 3, what is f(-2)?
Answer:
7
Step-by-step explanation:
Answer:
no answer
Step-by-step explanation:
2(-2)+3=-2
simplify
-4+3=-2
simplify
-1=-2
No answer
If there's something along the lines of no answer and it's multiple choice click that.
Selena went to our Diner. She ordered a hotdog and cheeseburger. How much did she spend at lunch?
Answer:
13.75
Step-by-step explanation:
6.25+7.50=13.75
Answer:
$11.05
Step-by-step explanation:
The hot dog is $3.55, and the cheeseburger is $7.50. Thus, adding them together, the whole total is $11.05.
Hope this helps
blank + blank = internal energy
Answer:
kinectic + electric = internal
Step-by-step explanation:
Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.
Answer:
The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .
Energy on a smaller scale
Internal energy includes energy on a microscopic scale
It is the sum of all the microscopic energies such as:
translational kinetic energy
vibrational and rotational kinetic energy
potential energy from intermolecular forces
One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.
For one week, Xavier rode his bike 5,25 miles each weekday and a total of 13 miles on the
weekend. How many total miles did Xavier ride his bike that week?
5.25 + 13
= 18.25
Xavier rode his bicycle for a total of 18.25mi in one week.
Is the following number rational or irrational?
– 1
Choose 1 answer:
A
Rational
B
Irrational
Answer:
B.
Step-by-step explanation:
Irrational as π is irrational.
what is the solution of -3 =x +5 ?
-3 = x + 5
Solve for x by subtracting 5 from both sides:
X = -8
Answer:
-8
Step-by-step explanation:
;)
Hello !!!!!!Please help me ASAP
Answer:
A
Step-by-step explanation:
I hope this helped you out
Use synthetic division to solve
x3- x2 - 17x-15)+(x-5). What is the quotient?
x2 + 4x + 3
x² - 6x + 13 - 180
x3+4x2+3x x2 - 6x+13-80
X+ 5
Answer:
x² + 4x + 3
Step-by-step explanation:
Dividing by (x - 5) then use h = 5 as divisor
5 | 1 - 1 - 17 - 15
↓ 5 20 15
-------------------------------
1 4 3 0 ← remainder = 0
quotient = x² + 4x + 3
[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.
What is synthetic division?Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.
Synthetic division of the given question-
5 | 1 -1 -17 -15
5 20 15
---------------------------------------------
1 4 3 |0|
Remainder = 0
Quotient = [tex]x^{2} + 4x+3[/tex]
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x^3 + 2x^2 – 24x
^
write the polynomial in factored form
Answer:
x(x+6)(x-4)
Step-by-step explanation:
They all have x in it, which means we can factor out x first.
x(x^2 + 2x -24)
Now we can factor out the inside doing algebra.
Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).
We still have to multiply the x from the beginning, giving us a final equation of
x(x+6)(x-4).
5. Jada is making circular birthday invitations for her friends.
The diameter of the circle is 12 cm. She bought 180
cm of ribbon to glue around the edge of each invitation.
How
many invitations can she make?
Answer:
Step-by-step explanation:
Jada is making circular invitations
we have d=12 cm, the radius r=6
she needs to find out the circumference
C=2x3.14x r
C=2x 3.14x6=37.68
180/37.68=4.77
she can make just 4 invitations