Answer:
Step-by-step explanation:
f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Hope this helps!
Step-by-step explanation:
I need help with this
Answer:
44
Step-by-step explanation:
MRQ=136
In a straight line there is 180 degrees
180-136=44
MRS=44 degrees
alternates angle is a z shape so NMRS is one
So you then RMP is 44 degrees.
Hope it helps just tryed
Pls help ima mark BRAINLIST and give u a like
Answer:
C
Step-by-step explanation:
You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.
Answer:
C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]
Step-by-step explanation:
Well I went to Desmos and graphed them.
look at the image below
Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?
Answer:
The correct answer on EDG-2020 is:
c) ≈471 in.2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
credit to the first guy
Find the sum and the product of the roots of the equation: y^2+41y−371=0
Answer:
y
=
−
41
−
√
3165
2
,
−
41
+
√
3165
2
Decimal Form:
y
=
7.62916635
…
,
−
48.62916635
…
Step-by-step explanation:
Students in four of Ms. Peters’s classes were surveyed about their favorite type of movie. The results are as follows: Class 1: Action - 12, Comedy - 13, Drama - 6 Class 2: Action - 9, Comedy - 11, Drama - 11 Class 3: Action - 8, Comedy - 15, Drama - 7 Class 4: Action - 11, Comedy - 4, Drama - 18 8. Create a two-way table to organize the data. 9. What is the probability that a randomly selected student in Ms. Peters’s first class prefers comedies? 10. What is the probability that a randomly selected student is in Ms. Peters’s second class or prefers action movies?
Answer: (a) Refer to picture attached
(b) Probability that randomly selected student in class 1 prefers comedies is 42%
(c) Probability that randomly selected student in class 2 prefers action movies is 29%
Step-by-step explanation: Please refer to the picture attached for the required two-way table.
For the first class, that is class 1, you need to calculate the probability that a randomly selected student prefers comedies. A probability can be expressed as follows;
P(comedies) = Number of required events / Number of possible outcomes
P(comedies) = 13/31
P(comedies) = 0.419354
Therefore the probability that a student selected randomly from Ms Peter's first class prefers comedies is 0.4193 (approximately 0.42) or 42%.
For the second class, that is class 2, you need to calculate the probability that a randomly selected student prefers action movies. The probability thus is expressed as;
P(Action) = Number of required events / Number of possible outcomes
P(Action) = 9/31
P(Action) = 0.290322
Therefore the probability that a student randomly selected from Ms Peter's second class prefers action movies is approximately 0.29 or 29%.
The squared paper shows the nets of cuboid A and cuboid B. Do the cuboids have the same surface area? Show how you know (FIRST CORRECT ANSWER WILL GET BRAINLIEST THANK YOUU)
Answer:
No because cuboid a is smaller than cuboid b
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm
Please answer the question now in two minutes
Answer:
the first three options
Step-by-step explanation:
they all have shared points
A sphere has a volume of V=2304 in^3. Find its surface area.
Answer:
The surface area of the sphere is:
[tex]Surface_{sphere}=843.6\,\, in^2[/tex]
Step-by-step explanation:
Recall the two following important formulas:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]
where R is the radius of the sphere.
Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]
Now, knowing the radius, we can estimate the surface of the sphere using the other formula;
[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]
PLEASE ANSWER THESE TWO GEOMETRY QUESTIONS ASAP FOR ME PLEASE!!
Answer:
~101.5 (area of the shaded area in upper figure)
and
~54.4 (area of the shaded area in lower figure)
Step-by-step explanation:
I attached an image for clarification (please see).
The same approach can be applied to solve these two problems.
As seen in attached image, the shaded area of the 1st figure is the sum of the area of a regular triangle and 3 equal portions.
The area of the regular triangle with side = 12 is:
A1 = side^2 x sqrt(3)/4 = 12^2 x sqrt(3)/4 = 36sqrt(3)
The area of the regular triangle + the area of a portion is:
A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 12^2 x (1/6) = 24pi
=> The area of a porition is:
A3 = A2 - A1 = 24pi - 36sqrt(3)
=> Area of the shade area:
A4 = A1 + 3 x A3 = 36sqrt(3) + 3 x (24pi - 36sqrt(3)) = ~101.5
**************************
For the second figure, the shaded area could be divided into 6 equal parts, each part is inside a regular triangle and is calculated by:
A = the area of the regular triangle - the area of 2 equal portions (white color).
The area of the regular triangle with side = 6 is:
A1 = side^2 x sqrt(3)/4 = 6^2 x sqrt(3)/4 = 9sqrt(3)
The area of the regular triangle + the area of a portion is:
A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 6^2 x (1/6) = 6pi
=> The area of a porition is:
A3 = A2 - A1 = 6pi - 9sqrt(3)
=> Area of a part (including the regular triangle and excluding 2 equal portions):
A4 = A1 - 2 x A3 = 9sqrt(3) - 2 x (6pi - 9sqrt(3))
=> Area of shaded area:
A5 = 6 x A4 = 6 x [9sqrt(3) - 2 x (6pi - 9sqrt(3)) ] =~54.4
A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?
Answer:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
Step-by-step explanation:
Given that there is a collection of nickels and quarters.
Let N be the number of coins of nickels and
Q be the number of coins of quarters.
It is given that total number of coins are 32.
Number of coins of nickels + Number of coins of quarters = 32
[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.
Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]
and value of a one nickel coin = 5 cents = $0.05
Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]
Similarly,
Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]
Total value of coins is 3 dollars.
[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.
So, the answer is:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
solve the equation for x. square root of x+4-7=1 A. x=4 B.x=12 C. x=60 D.x=68
Answer:
x = 60 (Answer C)
Step-by-step explanation:
Ambiguous. I will assume that you meant:
x+4-7=1 => √(x + 4) - 7 = 1
This latter result simplifies to
√(x + 4) = 8
Squaring both sides, we get: x + 4 = 64, or x = 60 (Answer C)
The value of x is 4.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
√(x + 4 - 7) = 1
Square on both sides.
x + 4 - 7 = 1²
x + 4 - 7 = 1
Add 7 on both sides.
x + 4 = 1 + 7
x = 8
Subtract 4 on both sides.
x + 4 - 4 = 8 - 4
x = 4
Thus,
The value of x is 4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Select the correct answer.
Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?
Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60
Answer:
Answer is C. 0.58
Step-by-step explanation:
22/38 = 0.57 something rounded to 58
Hey, guys, I need help please give an answer and a good explanation thank you.
0.75-0.25+1/2=
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5 and then do 0.75-0.25+0.5.
Answer:
1
Step-by-step explanation:
0.75-0.25+1/2
=0.50+0.5
=0.5+0.5
=1
Sierra makes 8 friendship bracelets in 2 hours.how long does it take her to make 1?
Answer:
2 hours = 120 minutes so it takes her 120 / 8 = 15 minutes to make one.
A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The fly will be 12 feet high and 16 feet wide. The scouts are building the frame for the fly with two poles slanted and joined together at the top of the tent.
The minimum length of the slanted poles needed to support the fly is how many feet
Answer:
Step-by-step explanation:
As shown in the diagram.
The fly will be 16 feet wide i.e BC = 16 feet
thus BD = DC = 8 feet
By pythagorus theorem
Hypotenuse²= Height ²+ Base²
in ΔABD
AD = 12 feet
BD = 8 feet
put these value in the equation
AB ²= AD² + BD²
AB²= 12²+ 8²
AB² = 144 + 64
AB² = 208
AB = 14.42 feet
The minimum length of the slanted poles needed to support the fly is 14.42 feet.
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice. URGENT
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equals four thirds pi r cubed ). When r changes from 40 ft to 40.05 ft, Upper DeltaValmost equals nothing ftcubed.
Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:
[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]
Where [tex]r[/tex] is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]
The derivative of the volume as a function of radius is:
[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]
Then, the change in volume is expanded:
[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]
If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:
[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]
[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Which expression simplifies to 4 √13
√208
√17
√29
√52
Answer:
√208
Step-by-step explanation:
Step 1: Convert 4 to √
4² = 16
4 = √16
Step 2: Multiply radicals
√16(√13) = √208
Answer:
[tex]\sqrt{208}[/tex]
Step-by-step explanation:
Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.
[tex]\sqrt{208}[/tex]
/\
[tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]
[tex]4\sqrt{13}[/tex]
As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.
The sum of the squares of three consecutive even integers is 980. Determine the integers.
Answer:
16, 18, 20
Step-by-step explanation:
We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...
√(980/3) ≈ 18.09
The integers are 16, 18, 20.
_____
Check
16^2 +18^2 +20^2 = 256 +324 +400 = 980
Answer:
16, 18, 20
Step-by-step explanation:
Let the three consecutive even integers be (x - 2), x, (x + 2)
[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]
Hence, three consecutive even integers are : 16, 18, 20.
what is the answer of this question ?
Answer:
Length = 51 centimeters
Width = 19 centimeters
Step-by-step explanation:
Length = l
Width = w
Length is 3w - 6
l = 3w - 6
P = 2l + 2w
The perimeter is given, plug in the values.
140 = 2(3w - 6) + 2w
140 = 6w - 12 + 2w
140 + 12 = 8w
152 = 8w
w = 19
The width is 19cm.
l = 3w - 6
l = 3(19) - 6
l = 57-6
l = 51
The length is 51 cm.
Answer:
[tex]\boxed{\red{width = 19 cm} }\\ \boxed{\red{
length = 3x-6}} \\
\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\red{= 51 cm}}
[/tex]
Step-by-step explanation:
let the width be x
Let's find the length
[tex]3x - 6[/tex]
Perimeter of a rectangle
[tex]p = 2(length + width) \\ p = 2(3x - 6 + x) \\ p = 6x - 12 + 2x \\ p = 8x - 12 \\ [/tex]
given that,
[tex]p = 140[/tex]
so,
[tex]140 = 8x - 12 \\ 140 + 12 = 8x \\ 152 = 8x \\ x = 19[/tex]
therefore,
width = 19 cm
length = 3x-6
= 51 cm
(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis
Answer:
Original Coordinates: (-4, 5)
Step-by-step explanation:
We simply take the opposite directions to find our original coordinates.
Step 1: Translate 3 units down
(-4, -2) --> (-4, -5)
Step 2: Reflect over x-axis
(-4, -5) --> (-4, 5)
A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).
Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
[tex](y-k)^2=4p(x-h)[/tex]
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to
[tex]-y^2=8x[/tex] and now we solve it for x:
[tex]-\frac{1}{8}y^2=x[/tex]
Jenny is solving the equation 3 x + 5 = 4 x + 2 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first?
Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal
Answer:
C
Step-by-step explanation:
correct on edgen i took the test
please hellp ......
Answer:
I DUNNO
Step-by-step explanation:
Answer:
BC = 19.371
Step-by-step explanation:
Use the cosine ratio:
Cos(71°) = 6.3/BC
BC = 6.3/Cos(71°)
BC = 19.371 cm
That's it, Best Regards!
A polyhedron has 6 faces and 8 vertices. how many edges does it have?
Answer:
12 Edges.
hope you rate me well
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Euler's formula for polyhedra states
F + V - E = 2
where F is faces, V is vertices and E is edges
Here F = 6, V = 8, thus
6 + 8 - E = 2, that is
14 - E = 2 ( subtract 14 from both sides )
- E = - 12 ( multiply both sides by - 1 )
E = 12 ← number of edges
A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?
Answer:
the following model the membership cost is p=250+42m
Help me with this somebody.
Answer:
B, √140
Step-by-step explanation:
√28+√112 = √140
HELP!!!
A publicist is promoting a new record. The table below
represents the plan for providing promo codes for free
downloads of a single from the record, f(x), in tens of
thousands of codes depending on the time since posting, x,
in days.
х
f(x)
0
0
25
45
50
0
75
-150
Answer:
D) Their difference is the number of days the first promo codes were released before the new record
Answer:
D.) Their difference is the number of days the first promo codes were released before the new record
Step-by-step explanation:
Got it right on Edge
Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *
Answer:
x=2
Step-by-step explanation:
-7+4x+10=15-2x
combine like terms
4x+3=15-2x
add 2x to both sides
6x+3=15
subtract 3 on both sides
6x=12
divide 6 on both sides
x=2
I'm not sure if I clicked the right answer, I hope you can help me :D