Answer:
In total there are 50 students.
Step-by-step explanation:
Since in a group of students 20 study account, 21 study mathematics, 18 study history, 7 study account only, 10 study mathematics only, 6 study account and mathematics only and 3 study mathematics and history only, to determine how many student are there altogether the following calculation must be performed:
7 + 10 + 6 + 3 = 26
Account = 20 - 7 - 6 = 7
Mathematics = 21 - 10 - 6 - 3 = 2
History = 18 - 3 = 15
26 + 7 + 2 + 15 = X
50 = X
Therefore, in total there are 50 students.
Find the area of the shaded region in square units. Show your reasoning.
Answer:
40 square units
Step-by-step explanation:
First of all, lets say that square has side [tex]l[/tex], so, the area unit is [tex]l^2[/tex]
the diagonal's square is [tex]l\sqrt{2}[/tex]
CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)
[tex]A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2[/tex]
CALCULATION OF MAIN SQUARE AREA
[tex]A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2[/tex]
TOTAL AREA
[tex]A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2[/tex]
A runner runs a distance of 300 metres in a time of 60 seconds.
What is his average speed?
Compute the future value of $1,000 compounded annually for:
A. 10 years at 5 percent.
B. 10 years at 10 percent.
C. 20 years at 5 percent.
D. Why is the interest earned in part (c) not twice the amount earned in part (a)?
Answer:
1628.89
2593.74
2653.30
Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.
Step-by-step explanation:
A: 1000*(1.05)¹⁰= 1628.89
B: 1000(1.1)¹⁰= 2593.74
C: 1000(1.05)²⁰= 2653.30
D: Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.
A soup pot in the shape of a cylinder has a radius of 5 inches and a
height of 10 inches. How much soup can the pot hold? *
A) 750.8 cubic inches
B) 785.0 cubic inches
C) 525.7 cubic inches
D) 780.0 cubic inches
Answer:
B)785.0 cubic inches
Step-by-step explanation:
amount of soup the pot can hold is equal to its volume
Volume of a cylinder is πr²h
π(5inches)²x 10inches
785.39816339744830
~785.0 cubic inches
Give the slope and the y-intercept of the line y=6x – 1. Make sure the y-intercept is written as a coordinate.
Answer:
slope = 6
y-intercept is (0,-1)
Step-by-step explanation:
the equation y = 6x-1 is written in slope-intercept form so it's easy to find the slope and the y-intercept
Solve for X to the nearest tenth.
Answer:
x ≈ 24.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 38°
Adjacent Leg = x
Hypotenuse = 31 cm
Step 2: Solve for x
Substitute in variables [cosine]: cos38° = x/31[Multiplication Property of Equality] Multiply 31 on both sides: 31cos38° = xRewrite: x = 31cos38°Evaluate: x = 24.4283Round: x ≈ 24.41 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.
2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2
6
2
2.
1
4
8
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
3 points
Your answer
Answer:
Jada should use the tank of golf balls
Step-by-step explanation:
Jada should choose the tank that has a higher probability of choosing a ball with even number from.
Tank of tennis balls has two even numbers out of the ten balls (2, 4)
Tank of golf balls has seven even numbers out of the ten balls.
Tank of golf balls would give Jada more chance to pick an even number to win the game
Therefore, Jada should use the tank of golf balls
maya raised 286.00
lian raised 192.84 less than maya
rei earned 113.25 more than lian
what is the total amount of money raised by all three?
Answer:
585.57
Step-by-step explanation:
Maya got 286.00
if lian got 192.84 less than we do 286-192.84 which is 93.16
if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.
113.25 + 93.16 = 206.41
Now we add all their amounts, 286+93.16+206.41
585.57
Adithya's favorite brand of peanut butter is available in two
sizes. The regular size costs $3.36 for 16 ounces. The
family size costs $7.60 for 40 ounces. Which is the better
buy?
Answer:
Family size
Step-by-step explanation:
40 oz of the regualr size would cost $8.40, therefor making the family size a better deal.
Hope this helps, correct me if i am wrong :)
Plzzz help asap i need a correct answer
Answer:
838
Step-by-step explanation:
556--282 negative minus a negative is a positive
Answer:
838
Step-by-step explanation:
556 - ( - 282 )
= 556 + 282
= 838
Jamal needs to plot at least 1 point from each set of numbers in the chart. If he graphs -5 and 5, which sets of numbers can he cross first? choose all that apply
A Rational numbers
B Integers
C whole numbers
D Natural numbers
Answer:
A Rational numbers
B Integers
The function f(x) = x² +9 and the other function P is given by P(x) = f(x) - 34 ÷x + 5 find P (5 )
Answer:
32.2
Step-by-step explanation:
Given :
f(x) = x² +9
P(x) = f(x) - 34 ÷ x + 5
P(5) =?
Substitute 5 for X on P(x)
P(5) = f(5) - 34 ÷ x + 5
f(5) = 5² + 9 = 25 + 9 = 34
P(5) = 34 - 34 ÷ 5 + 5
According to PEMDAS
-34 ÷ 5 = - 6.8
P(5) = 34 - 6.8 + 5
P(5) = 34 - 1.8
P(5) = 32.2
A parabola is the set of all points that...
Answer:
is equidistant from a focus point and a line
Answer:
what
Step-by-step explanation:
pa brainliest tol please
VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 22
The smaller number: 14
HOPE THIS HELPS
Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS
Find the unknown side length, X. Write your answer in simplest radical form,
A 432
B. 22
C. 16.15
D. 16./13
Answer:
22/ b hope this helps
Step-by-step explanation:
What is the y-intercept of function f?
A. 1
B. -1
C. -2
D. 5
Answer:
1
Step-by-step explanation:
The y intercept is when x =0
We need to use the second equation
-x+1 since -2 < 0 <3
0+1
The y intercept is 1
please answer thanks
Answer:
a
Step-by-step explanation:
I believe it is answer a. the helicopter is the distance in the air that it is cruising and the angle is how it has to begin its decent down to the fireman
Someone help me with this please.
9514 1404 393
Answer:
P: $0.12/kWh; M: $0.15/kWh
$285 from company P
Step-by-step explanation:
The cost per kWh from Company P is found by dividing the cost by the corresponding number of kWh:
$150/(1250 kWh) = $0.12/kWh
The cost per kWh from Company M is the coefficient of x in the equation:
$0.15/kWh
__
Company P provides power for a lower cost. The cost from Company P for 2375 kWh is ...
(2375 kWh)×($0.12/kWh) = $285 . . . cost for 2375 kWh
Find the volume of the figure shown below.
A)15 units^3
B)30 units^3
C)9 units^3
D)None of these answers
E)There is not enough information given
Answer:
B. 30 units³
Step-by-step explanation:
the volume= 5×2×3 = 30
The angles shown below are supplementary:
what is the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:
[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]
Answer:
x=12
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
10x+60=180
Subtract 60 from both sides:
10x=120
Divide 10 to both sides:
x=12
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
72
Step-by-step explanation:
Angles of triangles add up to 180
x=180-57-51
x=72
plz Help
ZOOM IN IF YOU CAN'T SEE IT
Answer:
what level math is this
Step-by-step explanation:
Determine the general solution of 2 sin x.cos x-cos x=0
Answer:
[tex]{ \tt{(2 \sin x. \cos x) - \cos x = 0}} \\ \\{ \tt{ \cos x(2 \sin x - 1) = 0 }} \\ either : { \tt{ \cos x = 0 \: \: or \: \: (2 \sin x - 1) = 0}} \\ \\ { \boxed{ \bf{x = 30 \degree, \: 90 \degree, \: 150 \degree,\:270\degree}}}[/tex]
Which of these graphs shows line CD parallel to line MP and passing through point (1, -3)
The one-to-one functions g and h are defined as follows
Answer:
[tex]g^-^1(x)=-8[/tex]
[tex]h^-^1(x)=\frac{x-4}{3}[/tex]
[tex](h^-^1 \ o\ h)(-3)=-3[/tex]
Step-by-step explanation:
When given the following functions,
[tex]g=[(-2,-7),(4,6),(6,-8),(7,4)][/tex]
[tex]h(x)=3x+4[/tex]
One is asked to find the following,
1. Question 1
[tex]g^-^1(4)[/tex]
When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;
[tex]g^-^1(4)[/tex]
[tex]g(4)=6\\g(6)=-8\\g^-^1(4)=-8[/tex]
2. Question 2
[tex]h^-^1(x)[/tex]
Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,
[tex]h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)[/tex]
[tex]h^-^1(x)=\frac{x-4}{3}[/tex]
3. Question 3
[tex](h^-^1 \ o\ h)(-3)[/tex]
This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ([tex]h^-^1[/tex]) and simplify. Then substitute (-3) into the result.
[tex]h^-^1\ o\ h[/tex]
[tex]\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x[/tex]
Now substitute (-3) in place of (x),
[tex]=-3[/tex]
Write the corresponding Hindu -Arabic numeral for the following
CCCXLlX=
Pls tell
9514 1404 393
Answer:
349
Step-by-step explanation:
In Roman numerals, C=100, L=50, X=10, V=5, I=1. Values are additive except when a lower value precedes a higher value. In that case, the lower value is subtracted.
The value here is 10 -1 +50 -10 +100 +100 +100 = 349.
__
Additional comment
Letters are assigned to 1 and 5 and those values multiplied by 10 or 100. When you get to 4000 and above, special forms apply. By convention, only unit values within a factor of 10 are subtracted. In the above number, 49 is written XLIX, not IL.
Can you help? What do you think ??
Answer:
The amount of money one may spend in a month may be greater than that of ones monthly payment especially when the payment is at a lower rate.
Somebody Please Help!!!
Answer:
11) 153, 85, 238 12) 12, 15, 27
Step-by-step explanation:
To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2
11) Let Shape 1 be the rectangle: 17×9=153
let Shape 2 be the triangle: [tex]\frac{1}{2}[/tex]×10×8.5=42.5×2=85
Total area: 153 + 85 = 238
12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3
Shape 1: 3×4=12
Shape 2: 5×3=15
Total area: 15 + 12 = 27
find the additive inverse and multiplicative inverse of a 5
Answer:
ans: additive inverse is -5
multiplicative inverse is 1/5
Step-by-step explanation:
adding what value to 5 makes it 0 i.e
5 + (- 5)= 0 ( so additive inverse is -5)
multiplying what value to 5 makes it 1 i.e
5×( 1/5)=1 ( so multiplicative inverse is 1/5)