The total number of students in the four classes is 100 students.
How to compute the value?From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.
Therefore, the total number of students will be:
= 26 + 19 + 34 + 21
= 100
Therefore there are 100 students.
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Directions: Determine whether each relation is a function. Explain your answer.
7) No, y has two different values when x = -1.
8) Yes, each value of x maps onto only one value of y.
9) Yes, each value of x maps onto only one value of y.
#12: m∠GKH = ____
need the answer
The graph shows the relationship between miles and kilometres.
a)
Convert 20 miles
to km.
b)
Convert 64 km
to miles.
By cross multiplication, we have found the following results:
a) 20 miles are equal to 32.180 kilometers.
b) 64 kilometers are equal to 39.776 miles.
How to convert a distance value into another distance unit
In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.
First, we must convert a distance of 20 miles to kilometers by cross multiplication:
x = 20 mi × (1.609 km / 1 mi)
x = 32.180 km
Second, we must convert a distance of 64 kilometers to miles by cross multiplication:
x = 64 km × (1 mi / 1.609 km)
x = 39.776 mi
RemarkThe graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.
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Answer:
here is the answer⬇️
6 minus a number minus 11
Answer:
In equation form it should be: (6-x) -11
Step-by-step explanation:
BOOM!!! Your Welcome
Two shops rent kayaks for a rental fee plus a fee per hour. How many hours must a kayak be rented for the total costs to be the same? Shop A Rental fee: $8 Hourly fee: $3 Shop B Rental fee: $3 Hourly fee: $4 The total costs are the same when a kayak is rented for hours.
The total costs are the same when a kayak is rented for 5 hours
How do we determine the hours that both have the same costs?
The hours that both shops have the same cost is determined by equating the total cost in shop A to the total cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge
y=a+bx
y=total cost
a=fixed charge for each shop
b=hourly fee
x=number of hours
Shop A:
total cost=8+3x
Shop B:
total cost=3+4x
8+3x=3+4x
8-3=4x-3x
5=x
At 5 hours both Shops A and B would have the same cost
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The hours when the cost of renting the kayaks would be the same is 5 hours.
The total cost of renting a kayak is $23.
When would the total cost be equal?The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.
The form that the equation would be is:
Total cost = rental fee + (hourly fee x number of hours)
Total cost at Shop A = $8 + $3h
Total cost Shop B = $3 + $4h
Where h is the number of hours the kayak was rented.
When the total costs are equal, the two above equations would be equal.
$3 + $4h = $8 + $3h
Combine similar terms: $4h - $3h= $8 - $3
Add similar terms together: h = 5 hours
Total cost = $3 + $4(5)
$3 + $20 = $23
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Find how long it takes a person to drive 212 miles on a highway if she merges onto a highway at 6 p.m. and drives nonstop with her cruise control set on 80 mph.
Tutorial D
If x = 0 and y < 0, where is the point (x, y)
located?
◄))
on the x-axis
on the y-axis
square root method 5x+9=134
Answer:
Step-by-step explanation:
What are you trying to find? If you want to find x then:
5x = 134 - 9
5x = 125
x = 25
if you want square root then,
x = √625 or
x = 5^2
Givin g(x) = -x+4, solve for x when g(x)= 0
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
I got you bro dont worry
The temperature in a town is 12.5°F during the day and -23.3°F at night. Find the difference in the temperatures.
Answer:
Explanation
temperature in a town during day=12.5The temperature in a town is 12.5°F
temperature at night is -23.3°F
difference -23.3°F+12.5°F
=. -10.8
The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2
The transformed equation is:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
What is the equation?We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.
Remember that for a random function f(x), a shift of 2 units to the left is written as:
h(x) = f(x + 2).
Then, in this case, we can write:
F(x) = G(x + 2)
Replacing G(x), we can get the transformed equation:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
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If the equation ax = b is consistent, then its solution set is obtained by translating the solution set of ax = 0. true or false?
True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.
What is consistent?A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.
Some key features regarding the consistent are-
A system is said to be consistent if it has at least one solution.A consistent system is independent if it has exactly one solution.It is dependent if a consistent system does have an infinite number of solutions. When the equations are graphed, they constitute the same line.A system is considered to be inconsistent if it has no solution. Because the line graphs do not intersect, the graphs are parallel, and that there is no solution.Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.
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12. −7.5 • −2³/4
19
Answer:
-9.5
Step-by-step explanation:
YALL IS ANYONE WILLING TO SOLVE MATH?
Answer:
A = 1160
B = 1160 is already in standard form.
C = 1200
A student increased in height from 1.52m to 1.68m, calculate the percentage increase (show your working)
The percentage increase in the student's height is 10.52%.
Here we are given that a student's height increases from 1.52m to 1.68m.
Thus, the absolute increase in the student's height will be-
1.68 - 1.52 = 0.16 meters.
Now, we need to find the percentage increase in the student's height.
The formula for calculating percentage increase is given by-
Percentage increase = change in value/ initial value * 100
Here, the change in value is 0.16 meters and the initial value is 1.52 meters.
Thus, percentage increase in height = 0.16 / 1.52 *100
= 1600/ 152
= 400/ 38
= 200/ 19
= 10.52%
Thus, the increase in the student's height is 10.52%.
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A scientist has 20 grams of the radioactive isotope sodium-24. The isotope decays exponentially as shown in the table.
Time (hours)
Mass (grams)
5
15.9
10
12.6
15
10
20
7.9
25
6.3
30
5
Approximately what will the mass of the isotope be after 45 hours?
A 1.5 grams
B. 2.5 grams
C. 3.5 grams
D. 4.5 grams
The mass of the isotope after 45 hours is 2.5 grams.
Given, from the table we can find that when time is 10 hours,
the mass is 12.6 grams;
when time is 25 hours the mass is 6.3 grams .
And 12.6 × 1/2 = 6.3
Also we can find when time is 15 hours the mass is 10 grams,
when time is 30 hours, the mass is 5 grams as:
10 × 1/2 = 5
so we know that half life period is:
25 - 10 = 30 - 15 = 15 hours.
When time is 45 hours,
45 = 15+115
= 3 half life periods, so the mass is :
20 × 1/2 × 1/2 × 1/2
= 2.5 grams.
Hence the mass of the isotope after 45 hours is 2.5 grams.
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6/X + 9 if x = 3
pls help me
answer:
6/x + 9 = 11
explanation:
6 div. 3= 2
2+9=11
whats 9 and 4 exponent time negative 1/3 and 4 exponent?
1. 1.371742E−3
2. 256 .
What is an Exponent?
An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 2³) means: 2 x 2 x 2 = 8.
It is written as a small number to the right and above the base number.
Here in the question we find out (9)∧-3 and (4)∧4
1. (9)∧-3 =x∧n=9−1
x∧n=9-³
=1/9³
=1/9×9×9
=1/729
=0.0013717421124829
=1.371742E−3
2. (4)∧4 =x∧n=4∧4
=4×4×4×4
=256
The meaning of exponent is a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.
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What is the surface area of a igloo with a 20 ft. diameter
The surface area of a igloo with a 20 ft. diameter is [tex]628ft^{2}[/tex]
According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.
Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.
So for finding out area of igloo we find the surface area of of the hemisphere.
Curved Surface area : [tex]2\pi r^{2}[/tex]
Total Surface area: [tex]3\pi r^{2}[/tex]
where r is the radius of igloo.
Radius is half of the diameter therefore [tex]r=\frac{diameter}{2}[/tex]
[tex]r=\frac{20ft}{2} \\r=10ft[/tex]
Therefore radius is 10 ft.
Curved Surface Area: [tex]2*3.14*10^{2} =628ft^{2}[/tex]
Total Surface Area: [tex]3*3.14*10^{2} =942ft^{2}[/tex]
But as we are supposed to find the surface area therefore the answer is [tex]628ft^{2}[/tex].
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systems of liner equations in three variables using substitution method
2x + y + 3z = -2
x - y - z = -3
3x - 2y + 3z = -12
Above given the the linear equations. Systems of liner equations in three variables using substitution method, the variables are (-3.2, -0.218, 0.06).
What do you mean by linear equation?The standard form for the linear equations in two variables is Ax+ By =C. For example, 2x+3y=5 is a linear equation in the standard form. When an equation is given in this form, it's pretty easy to find the both intercepts (x and y). This form is also very useful when solving systems of the two linear equations.
Solve one of the equation for one of it's variables. From the given three variables, there is no incorrect choice so choose to solve for any variable.
x= y+ z -3
Substitute the value from the first variable we solved for into the other equation and solve for the next variable.
(y+z-3) +y +3z = -2
2y+4z= 1
y= [tex]\frac{1+4z}{2}[/tex]
Substitute the value from the two variables that we solved and plug it into the remaining equation and solve for the last remaining variable.
3([tex]\frac{1+4z}{2}[/tex]+z-3) - 2 ([tex]\frac{1+4z}{2}[/tex]) + 3z= -12
3([tex]\frac{1+4z+2z-6}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+ 3z= -12
3([tex]\frac{6z-5}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+3z = -12
[tex]\frac{18z-15}{2}[/tex]- 1+ 4z+ 3z= -12
18z-15-2+8z +6z= -24
32z-17=-24
32z=-24+17
z=[tex]\frac{-7}{32}[/tex]= -0.218
therefore, y= 0.06
Now substitute the values:
x= 0.06+(-0.218)-3= -3.2
The three variables are (-3.2, -0.218, 0.06)
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point b is between A and C. if AC = 3x+3, BC = 2x-1, and AB = 11. Find the length of BC
==================================================
Work Shown:
AB+BC = AC
(11) + (2x-1) = 3x+3
2x+10 = 3x+3
2x-3x = 3-10
-x = -7
x = 7
which is then use to find:
BC = 2x-1 = 2*7-1 = 13AC = 3x+3 = 3*7+3 = 24As a check,
AB+BC = 11+13 = 24 = AC which confirms the answer.
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = [x] is transformed to g(x) = |x-31, what transformation occurs from f(x) to g(x)?
O The graph of f(x) is shifted upward to create g(x).
O The graph of f(x) is shifted downward to create g(x).
O The graph of f(x) is shifted to the right to create g(x).
O The graph of f(x) is shifted to the left to create g(x).
Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the functions are given as follows:
f(x) = |x|.g(x) = |x - 31|.That is, g(x) = f(x - 31), hence the function was shifted 31 units to the right and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
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40 35 37 40 39 41 39 39 36 38 36 39 36 39 35 39 36 37 41 37 38 36 35 40 40 41 39 38 39 35 35 40 39 39 37 38 38 39 35 35 41 37 40 39 38 37 37. Calculate the mode
The mode of the data is 39 as it's frequency is highest .
Mode is a measure of central tendency . It is the no . which has highest frequency in data .
Data - Frequency
40 - 6
35 - 7
37 - 7
39 - 12 ( max . )
36 - 5
38 - 6
41 - 4
The value of frequency corresponding to 39 is maximum .
Therefore , as 39 occurs most of the time in the data , hence it is the mode of this data .
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which statements are true regarding the sequence below? check all that apply. 10/3,4,24/5,144/25,...
Answer:
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
What is sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given:
10/3, 4, 24/5, 144/25, ...
From the above sequence we can generate the formula,
f (x) = 10/3
Also, for f(x+1) we can have
x=1,
f(1)= 10/3
f(2)= 4
So, f(x + 1) = 6/5(f(x))
Step-by-step explanation:
Find the slope of the line passing through the points (7, -2) and (7,5).
slope:
Answer: the slope=0
Step-by-step explanation:
[tex]\displaystyle\\(7,-2)\ and\ (7,5)\\[/tex]
[tex]\displaystyle\\\boxed {the \ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]
[tex]x_1=7\ \ \ \ \ x_2=7\ \ \ \ y_1=-2\ \ \ \ \ y_2=5\\Hence,\\\displaystyle\\the slope=\frac{7-7}{5-(-2)} \\\\the\ slope=\frac{0}{5+2} \\\\the\ slope=\frac{0}{7}\\\\ the\ slope=0[/tex]
Which ordered pairs make the open sentence true?
4x+y>9
Answer:
Step-by-step explanation:
let x = 5, y = 0
so the equation is 4x+y>9
and put the value of x and y in the equation
4 (5) + 0 > 9
20 + 0 > 9
20 > 9, therefore the order pair ( 5,0) satisfies the condition. true
How many 1/2's are there in 6?
Answer:
12
Step-by-step explanation:
There are 12 1/2's in 6.
To find how many 1/2's there are in 6, you have to divide 6 by 1/2.
6 ÷ 1/2
To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).
6/1 × 2/1
6 × 2
= 12
Have a lovely rest of your day! :)
X - 2(X + 10) = 12
What is this??!?!!?
Answer:
-32
Step-by-step explanation:
Pal, it's M A T H
Answer:
-32
Step-by-step explanation:
x-2x-20=12
-x=32
x=-32
.....................
Margo borrows $800 agreeing to pay it back with 8% annual interest after 8 months. how much interest will she pay?
Answer:
43
Step-by-step explanation:
800 × 8% × (8/12)
Complete the table (again)