Answer:
Step-by-step explanation:
8,031,426,100
=8,000,000,000
=8×(10)^9
Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard. What is the value of this function for f(6)?
Answer:
27
Step-by-step explanation:
7(6) = 42. 42-15 is 27
The value of this function for f(6) is 27.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.
WE need to find the value of this function for f(6).
So, plug 6 into x
7(6)-15
42 - 15
= 27
Hence, the value of this function for f(6) is 27.
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Help please someone thanks
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
Colleen has a prepaid phone card with $40 on it. It costs her $0.25 for each minute she spends on the phone. How much money will be left on the card if she speaks for 60 minutes?
Answer:she will have $25 left .
Step-by-step explanation:
0.25(60) = 15
$40 - $15 = $ 25
6
The sun is at an angle of
elevation of 58º. A tree casts a
shadow 20 meters long on the
ground. How tall is the tree?
a) 71 m
b) 11 m
c) 17 m
d) 80 m
e) 32 m
Im not super sure but I'm pretty sure it's A. I'm sorry if I'm wrong but this was also a question I need the explanation for.
12 of the 30 students in Mrs. Smith's class are boys. What percent of the class is made up of girls?
Answer:
40%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
First, find how many girls are in the class
There are 12 boys. The rest of the 30 students will be girls.
12+g=30
Subtract 12 from both sides to get the variable by itself
12-12+g=30-12
g=18
There are 18 girls.
Now, we have to find the percent.
To do this, divide the part: the girls, by the whole: the entire class
part/whole
girls/class
There are 18 girls, and 30 students in the whole class
18/30
0.6
Convert 0.6 to a percent by multiplying by 100, or moving the decimal place 2 spots to the right
0.6*100=60
0.6--> 6.0--> 60.
So, 60% of the class is made up of girls
Please help me now plz I will mark you brainliest
Answer:
Neither
Step-by-step explanation:
It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle
The probability of students entering the medical field is 11/50. Predict how many out of 500 will enter the field. Please enter the numerical value only
Answer:
110
Step-by-step explanation:
The probability of students entering the medical field = p = (11/50)
The number of people that'll enter the medical field out of 500 = np
n = 500
p = (11/50)
np = 500 × (11/50) = 110
Hope this helps!!!
Answer:
110 Students
Step-by-step explanation:
The probability of students entering the medical field is [tex]\dfrac{11}{50}[/tex].
In an experimental trial, this probability is referred to as the relative frequency of students entering the medical field.
Given that there are 500 students, we want to determine how many will enter the medical field.
Total Number of Trials=500We use the formula:
[tex]\text{Number of Expected Outcome}=$Relative Frequency of Outcome X Total Number of Trials$\\\\=\dfrac{11}{50}X500 \\\\=110[/tex]
Therefore, 110 students will be expected to enter the medical field.
a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height of the tree?
Answer:
151
Step-by-step explanation:
tan 40° = x/180
tan 40°*180 = x
0.8391*180 = 151
height = 151m
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *
Answer:
54
Step-by-step explanation:
Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)
$1000 is taken out of a bank vault each day and nothing is added back. Which of the following models this situation?
Answer:
do you have a picture?
Step-by-step explanation:
Answer
A. linear function with a negative rate of change
Step-by-step explanation:
i had this question already
The student who traveled to 3 states visited 3 new states during a vacation. Does increasing the 3 to 6 change the median? If so, how?
Answer:
Yes, changing from 3 states to 6 states changes the median because:
- The median of the first 3 states is simply the middle-placed state of the 3 states.
- The median of 6 states is the average of the 2 middle states.
Step-by-step explanation:
Suppose the first 3 states in order are:
A, B, C.
The median of these states is simply the middle state, B.
Adding 3 new states to have:
A, B, C, D, E, F.
The median is not explicit. It is the average of the two middle states, C and D.
Average of C and D is half of the sum of C and D.
That is (C + D)/2.
Which is different from B.
Jack had to purchase a book for college. The book cost $280 at the campus store. Jack found it online for 15% off. How much can he save if he purchases it online?
Answer:
I think its 238.00
Step-by-step explanation:
A ball is thrown into the air with an upward velocity of 13 ft/s. Its height h in feet after t seconds is given by the function h = −2t^2+ 13t + 24. In how many seconds does the ball reach its maximum height?
Answer:
3.25 seconds
Step-by-step explanation:
The maximum height will occur when the velocity of the ball reaches zero in the air.
Velocity is given as the derivative of height, dh/dt.
The equation of height given is:
[tex]h = -2t^2+ 13t + 24[/tex]
Differentiating height, h, with respect to time, t, we have:
[tex]v = dh/dt = -4t + 13[/tex]
When v = 0:
[tex]0 = -4t + 13\\\\=> 4t = 13\\\\t = 13 / 4 = 3.25 secs[/tex]
Therefore, it will take 3.25 seconds for the ball to reach maximum height.
16x^4y^2(9x^3y^4) fully simply
Answer:
[tex]=144x^7y^6[/tex]
Step-by-step explanation:
[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]
Answer:
Step-by-step explanation:
2 x(4−3xy^2)/y
The circles at the right are congruent. Which conclusion can you draw?
A. Angle AEB = Angle QUR
B. Angle CED = Angle SUT
C. CD = ST
D. Arc BD = Arc RT
Answer:
C. CD=ST
Step-by-step explanation:
The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR
Congruent circlesFrom the question, we are to deduce which of the given options is correct
From the given information, the circles are congruent
Congruent circles have the same or equal radii
As indicated in the diagram,
Arc AB = Arc QR
Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal
∴ Angle AEB = Angle QUR
Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR
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someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
Mark is 4 years older than his brother Mike. If the sum of their ages is 20 how old are they now?
x + x + 4 = 20
x + x = 16
16 / 2 = 8
Mike is 8, and Mark is 12.
How do you round 109.3034
Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!
Step-by-step explanation:
I have tried and tried I just cant get one thing to be right
Here are two steps from the derivation of the quadratic formula (picture included)
what took place between the first step and the second step?
A. factoring a perfect square trinomial
B. completing the square
C. taking the square root of both sides
The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.
What is a quadratic equation?A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
The derivation of quadratic formula.Mathematically, the quadratic formula can be derived as follows:
x² + b/ax +c/a = 0
x² + b/ax = -c/a
x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]
(x + b/2a)² = b²/4a² - c/a
x + b/2a = √(b²/4a² - c/a)
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.
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Answer: THE CORRECT ANSWER IS Factoring a perfect square trinomial
Step-by-step explanation:
A bunch of Ashland families have been helping out by making 2 different types of masks. It costs the family $1.70 to buy the supplies to make a mask with elastics and $1.30 to buy the supplies to make a mask that ties. They are selling the masks with elastics for $5.60 and the masks that tie for $5.40. In April, the family spent $37.90 on materials for both types of masks. They sold the masks for a total of $147.20, which they will donate to the Ashland Emergency Fund. How many masks with elastics did they make & sell in April?
Answer:
They made and sold 7 masks with elastics in the month of April.
They made and sold 20 masks that tie in the month of April.
Step-by-step explanation:
Let the number of masks with elastic made and sold be x
And the number of masks that tie made and sold be y
Since the price of making one mask with elastic is $1.70
The total amount spent on making x masks with elastic = 1.7x
The price of making one mask that ties is $1.30
The total amount spent on making the masks that tie = 1.3y
Total cost price = 1.7x + 1.3y = 37.90 (eqn 1)
They are selling the masks with elastics for $5.60 and the masks that tie for $5.40.
Total revenue made from selling x masks with elastic = 5.6x
Total revenue made from selling y masks that tie = 5.4y
Total revenue = 5.6x + 5.4y = 147.20 (eqn 2)
Writing the two equations together
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
Solving the simultaneous equation
x = 7 and y = 20
Hence, they made and sold 7 masks with elastics and 20 masks that tie in the month of April.
Hope this Helps!!!
What is the square root of 47?
Answer:
6.8556546004
Step-by-step explanation:
sqrt(47)=
6.8556546004
Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
Quadrilateral DEFG has vertices at D(6,1), E(2,4), F(-5,4) and G(-1,1). What is the area of the quadrilateral?
Answer:
Area of the quadilateral = 35 square units.
Step-by-step explanation:
The coordinates of the quadilateral DEFG are given as
D(6,1), E(2,4), F(-5,4) and G(-1,1).
To obtain the area, we need the length of each of the quadilateral's sides.
The length of each side is the distance between the coordinates given.
The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(y₁ - y₂)² + (x₁ - x₂)²]
The lengths of the quadilateral's sides include DE, EF, FG and GD
DE = distance between D(6,1) and E(2,4)
DE = √[(1 - 4)² + (6 - 2)²]
DE = √(9 + 16) = 5 units
EF = distance between E(2,4) and F(-5,4)
EF = √[(4 - 4)² + (2 - -5)²]
EF = √(0 + 49) = 7 units
FG = distance between F(-5,4) and G(-1,1).
FG = √[(1 - 4)² + (-1 - -5)²]
FG = √(9 + 16) = 5 units
GD = distance between G(-1,1) and D(6,1)
DE = √[(1 - 1)² + (-1 - 6)²]
DE = √(0 + 49) = 7 units
The dimensions of the quadilateral show that it is a rectangle.
The area of a rectangle = (length) × (width)
Length = 7 units
Width = 5 units
Area of the quadilateral = 7 × 5 = 35 square units.
Hope this Helps!!!
Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32
And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s
A= (base 1 + base 2 divided by 2) * height
P= a+b1+c+b2
Step-by-step explanation:
what is the solution of this equqtion w -3=15
Answer:
w = 18
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation
Solve : w-18 = 0
Add 18 to both sides of the equation :
w = 18
Hope this helps.
Answer:
w - 3 = 15
w - 3 + 3 = 15 + 3
w = 18
Step-by-step explanation:
1. add three to both sides
The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
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the tape diagram represents the equation write an equation to represent the image
Answer:
5n=1.75
Step-by-step explanation:
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 15x. What is the area of the metal frame? Write answer in factored form
Answer: Consider: square ... side length 15x
The area of a square with side s is s2.
The area of a square with side 15x is 225x2.
circle .. radius 5x, Area of circle is πr2. Area of mirror is 25πx2
Step-by-step explanation ;)
Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image*
Answer:
Step-by-step explanation:
Hard to figure out huh
please please help me
Answer:
a) 22, b) i. 5/11, ii. 5/11, iii. 7/11
Step-by-step explanation:
a) 3+6+3+5+4+1 = 22 total number of students
b)
i. Number of girl/total number of students= 10/22 = 5/11
ii. blond hair/total number of students = 10/22 = 5/11
iii.
Number of girl/total number of students= 10/22 = 5/11
red hair/total number of students = 4/22 = 2/11
P(a girl or red hair) = 5/11 + 2/11 = 7/11
