Answer:
x = 2
Step-by-step explanation:
The volume of this prism is half the volume of it as a rectangular prism. The volume is listed as 30. The rectangular prism would be 60. Volume is found by multipyling base, height and width.
The base is 10 and the width is 3.
Divide 60 by 10 and by 3.
60/10 = 6
6/3 = 2
This means the height x is 2.
What is the value of b in the equation below?
I'm not 100% but i think its A: 3
For this case we have that by definition of power properties:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
We have the following expression:
[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]
It can be rewritten as:
So:
[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]
So, [tex]b = 4\ and\ a = 5[/tex]
Answer:
Option B
What is the center of the circle given by the equation (x−6)2+(y+3)2=72?
A. (-6, 3)
B. (-3, 6)
C. (6, -3)
D. (6, 7)
this coming off the top of my head but it's either C or A
In a certain class of students, there are 12 boys from wilmette, 5 girls from kenilworth, 7 girls from wilmette, 4 boys from Glencoe, 2 boys from kenilworth and 9 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from kenilworth?
Answer:
7/39 = 17.94%
Step-by-step explanation:
Town Students Relative Frequency
Wilmette 12 boys + 7 girls = 19 19/39 = 48.72%
Glencoe 9 girls + 4 boys = 13 13/39 = 33.33%
Kenilworth 2 boys + 5 girls = 7 7/39 = 17.94%
Total 39 students 39/39 = 100%
Another approach to solve probability is the Relative Frequency. A frequency is the number of times an event occurs. To solve for the relative frequency, it’s the ratio of the frequency of an event to the total outcomes. From the question, it is clear that for each town, it was subdivided into boys and girls but the word students represent the combined number of boys and girls for a particular town. so finding the probability that a student called at random to answer a question is from kenilworth is simply the ratio of students from kenilworth over the total number of students in the class.
Which of the following could be used as justification that 3x^2+10x-8 is not prime over the set of rational numbers
A. (3x+2)(x-4)
B. (3x+4)(x-2)
C. (3x-2)(x+4)
D. (3x-4)(x+2)
Answer:
C
Step-by-step explanation:
Consider the trinomial [tex]3x^2+10x-8.[/tex]
We can rewrite it as
[tex]3x^2+10x-8=3x^2+12x-2x-8.[/tex]
Now group first two terms and last two terms:
[tex](3x^2+12x)+(-2x-8).[/tex]
The common factor in first two terms is [tex]3x[/tex] and the common factor in last two terms is [tex]-2.[/tex] Use the distributive property for both groups of terms:
[tex]3x^2+12x=3x(x+4),\\ \\(-2x-8)=-2(x+4),[/tex]
so
[tex](3x^2+12x)+(-2x-8)=3x(x+4)-2(x+4).[/tex]
Now you can see that [tex](x+4)[/tex] is a common factor, thus
[tex]3x(x+4)-2(x+4)=(x+4)(3x-2)=(3x-2)(x+4).[/tex]
Since the trinomial can be represented as a product of binomials, this trinomial is not prime.
Which is faster, the tortoise or the turtle?
Which expressions could be used for finding the perimeter of a square? Choose the three expressions that apply
1. 9+9+9+9
2. 8+9+8+9
3. 7+7+7+7
4. 4+4+4+4
5. 4+3+4+2
Which of the following relations is a function?
A.
(1, 4), (-3, 6), (1, 3), (-7, 2)
B.
(1, 0), (-3, 3), (7, 1), (-3, 5)
C.
(1, 4), (-3, 2), (7, 1), (-7, 2)
D.
(7, 1), (-3, 4), (1, 1), (7, 2)
this is study island understanding functions
Answer:
C is the correct answer.
Step-by-step explanation:
Look at the X values for each coordinate pair. If an X value is represented twice with different Y values, it is not a function. If no X value is repeated, or it is repeated but has the same Y value, then it is a function. A has two values for x = 1, B has two values for x = -3, D has two values for x = 7, but C does not, so it is the correct answer.
The diagram shows the ratio of trees Maeve plants to the trees she harvests.
A tape diagram showing 5 parts labeled "plants" and 2 parts labeled "harvests"
The table shows the number of trees Maeve planted and harvested on two days.
Based on the ratio, complete the missing values in the table.
Day Trees planted Trees harvested
Wednesday ___________ 18
Thursday 55 ___________
Answer:
WEDNESDAY: 45 planted.
THURSDAY: 22 Harvested.
Step-by-step explanation:
Based on the information given in the problem, Maeve plants 5 trees for every 2 tree she harvests. Then the ratio can be expressed as following:
[tex]5:2[/tex] or [tex]\frac{5}{2}[/tex]
Then, you can complete the values in the table as you can see below:
WEDNESDAY
[tex]\frac{5}{2}=\frac{planted}{18}\\\\planted=\frac{18*5}{2}\\\\planted=45[/tex]
THURDAY
[tex]\frac{5}{2}=\frac{55}{harvested}\\\\(harvested)(\frac{5}{2})=55\\\\harvested=\frac{55*2}{5}\\\\harvested=22[/tex]
Answer:
Wed --------45---------
Thu ---------22-----------
what is the total surface area for a rectangular prism with dimensions of 7 cm 2cm 8cm in square centimeters
Answer:
172 cm^2
Step-by-step explanation:
Since it is a rectangular prism, you would have 6 sides, with two of them being the same. Each side is the values but multiplied by each other. So 7x2, 8x2, and 7x8. If you add them up it would be 14+16+56= 86, but that is only 3 sides, so you need to multiply 86 by 2, thus 172.
Hw 17 arcs and chords
Answer:
1. 105°
2. 85°
3. 80°
4. 148°
5. 116°
6. 82°
7. 135°
8. x = 7
9. x = 2
10. x = 1
11. x = 10
Step-by-step explanation:
1. Arc WZ = Arc XY
Arc WZ = 105° Therefore Arc XY = 105°
2. Arc SR = Arc TU
Arc SR = 85° Therefore Arc TU = 85°
3. Arc PQ = Arc QR
Arc PQR = 40° + 40°
Arc PQR = 80°
4. Arc RT = 64°
x = (360° - 64°)/2
x = 296°/2
x = 148°
5. x = 116°
If the chords are congruent to each other, then the arcs are also congruent to each other.
6. x = 82°
If the chords are congruent to each other, then the arcs are also congruent to each other.
7. Arc BC = 90°
x = (360° - 90°)/2
x = 270°/2
x = 135°
8. 2x + 4 = 18
2x = 18 - 4
[tex]\dfrac{2x}{2}=\dfrac{14}{2}[/tex]
x = 7
9. 2x + 1 = 5x - 5
2x - 5x = -5 - 1
[tex]\dfrac{-3x}{-3} = \dfrac{-6}{-6}[/tex]
x = 2
10. 3x + 16 = 12x + 7
3x - 12x = 7 - 16
[tex]\dfrac{-9x}{-9}=\dfrac{-9}{-9}[/tex]
x = 1
11. 3x - 11 = x + 9
3x - x = 9 + 11
[tex]\dfrac{2x}{2}=\dfrac{20}{2}[/tex]
x = 10
Please help with this question.
The maximum occurs at x = -b/2a
Using f(x) = ax^2 +bx +c
Replace a and b in the equation.
a = 2
b = 8
Now you have x = -8 / 2(2)
x = -8 / 4
x = -2
The maximum is -2
which equation represents the pattern in the table below
a.) s = c+4
b.) s= 4c
c.) c= s + 4
d.) c= 4s
Answer:
C=s+4
Step-by-step explanation:
Hope this helps!
Find the surface area
Answer:
884yd²
Step-by-step explanation:
Given in the question a pyramid with a square base
Slant height = 20
length of side of square = 18
Area of the figure = base area + 4(triangle area)To calculate base area
base area of pyramid = l²
= 324 yd²
To calculate the one face of pyramid
area of one face = 1/2 (height) x (base)
= 1/2 (20)(14)
= 140
Plug values in the formula
Area of the figure = 324 + 4(140)
= 884 yd²
Answer:
Total surface area = 1044 yd²
Step-by-step explanation:
From the figure we can see a square pyramid.
Base = 18 yd
Slant height = 20 yd
To find the Base area
Total surface area = Base area + (4* area of one lateral face)
Base area = Base² = 18² = 324 yd²
To find the lateral surface area
Area of one face = bh/2
b = base = 18 yd
h = Slant height = 20 yd
Area = bh/2 = (18 * 20)/2 = 180 yd²
Lateral surface area = 4 * 180 = 720 yd²
To find the total surface area
Total surface area = 324 + 720 = 1044 yd²
which net fold into the pyramid above
The correct option is X.
Step-by-step explanation:
From the given figure it is clear that:
1. Pyramid has 4 congruent triangles and a square base.
2. Color of 2 triangles is blue and another two triangles have black and white lines.
3. Triangles with same color or same design can't be on the opposite sides.
Option W is incorrect because it contains 3 blue triangles.
Options Y and Z are incorrect because triangles with same color or same design are on the opposite sides.
Only option X fulfill the above condition.
Therefore the correct option is X.
Learn more about Pyramid here:
https://brainly.com/question/30615121
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Tickets for a concert have been and incredibly high demand and as the date for the concert draws closer the price of tickets increases exponentially. The cost of A pair of concert tickets was $150 yesterday, and today is $162. As you complete the parts below, assume that each days percent increase from the day before is the same
The question involves understanding exponential growth in Mathematics. The cost of concert tickets is increasing by 8% each day, as calculated using the given prices for two successive days.
Explanation:The student's question pertains to exponential growth, a concept in Mathematics. Here, the increase in the cost of tickets is an example of exponential growth, where the growth rate is proportional to the current value. You can determine the daily percentage increase by using the formula for exponential growth:[tex](today's cost / yesterday's cost) ^ (^1^ /^ n^u^m^b^e^r^ o^f^ d^a^y^s^ b^e^t^w^e^e^n ^t^h^e^ d^a^t^e^s^) - 1.[/tex]
Here, the cost of the concert was $150 yesterday, and today it is $162. Insert these amounts into the formula, and we get [tex](162 / 150) ^ (^1^ /^ 1^) - 1[/tex]= 0.08 or 8%. Therefore, the ticket prices increase by 8% daily.
Learn more about Exponential growth here:https://brainly.com/question/12490064
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To determine the daily percent increase in the price of concert tickets, use the exponential growth formula. The tickets increased from $150 to $162 in one day, resulting in a calculated daily percent increase of 8%.
The student asked: Tickets for a concert have been in incredibly high demand, and as the date for the concert draws closer, the price of tickets increases exponentially.
A pair of concert tickets cost $150 yesterday, and today is $162. As you complete the parts below, assume that each day's percent increase from the day before is the same.
To find the daily per cent increase, we assume an exponential growth model where ticket prices grow by a constant percentage each day.
Let's denote yesterday's price as P₀ = 150 and today's price as P₁ = 162.
Step-by-Step Explanation:
Define the exponential growth formula: P₁ = P₀ * (1 + r), where r is the daily rate of increase.
→ Substitute the known values into the formula: 162 = 150 * (1 + r).
→ Solve for the rate r: Divide both sides of the equation by 150 to isolate (1 + r).162 / 150 = (1 + r), simplifying to 1.08 = 1 + r.
→ Subtract 1 from both sides to solve for r: r = 0.08.
→ Convert the rate to a percentage: r = 0.08 * 100
= 8%.
Therefore, the daily percent increase in the price of the concert tickets is 8%.
What is the approximate area of the shaded region under the standard normal curve below?
Answer:
0.14
Step-by-step explanation:
Help 30 Points! Show ALL Work! Image Attached.
Answer:
a. x = 13
b. x = 7
c. x = 24
d. x = Undefined
Step-by-step explanation:
Since all the bases are the same the power it is raised by is equivalent to the sum's power.
In mathematical terms
.
.
x^a + x^b = x^a+b
So all we have to do is add up the exponents and make them equivalent to each other.
For the last question, it is impossible since the powers added cannot ever be equal to each other.
9+x can never equal 4+x so it is undefined.
WOW 30 POINTS, ANDDD BRAINLIEST, YOU SHOULD ANSWER THIS QUESTION!!! >:o)
Roxanne wants to decide which one of two pair of shoes she
should wear to a party.
Clayton wants to take one of his five kids with him to the
supermarket.
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
Cleo wants to select a shirt from a collection of 13 shirts.
Match each event to the simulation that has exactly the same ratio.
selecting a card from the spades suit.
rolling a six-sided die.
flipping a coin.
spinning a spinner divided into five equal sections.
Answer:
Cleo wants to select a shirt from a collection of 13 shirts. 1/13
selecting a card from the spades suit.
rolling a six-sided die.
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
flipping a coin.
Roxanne wants to decide which one of two pair of shoes she
should wear to a party
spinning a spinner divided into five equal sections.
Clayton wants to take one of his five kids with him to the
supermarket.
Step-by-step explanation:
Roxanne wants to decide which one of two pair of shoes she
should wear to a party. 1/2
Clayton wants to take one of his five kids with him to the
supermarket. 1/5
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
1/6
Cleo wants to select a shirt from a collection of 13 shirts. 1/13
selecting a card from the spades suit.
There are 13 cards in a suit so 1/13
rolling a six-sided die.
1/6
flipping a coin.
two sides on a coin
1/2
spinning a spinner divided into five equal sections.
1/5
Card from spades suit--->Cleo with 13 shirts
6 sided die-----> Class picnic
Flipping a coin---->Roxanne with party shoes
spinning spinner with 5 sections---> Cleo takes one of his kids to the supermarket
Pie equals ???????????
Answer:
pie equals 3.14159265359 but it's always rounded to just 3.14 so you don't have to write all of those numbers.
Pie equals 22/7
Step-by-step explanation:Pi (π) is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159.
It is represented by the Greek letter "π" .
It is the circumference of any circle, divided by its diameter.
What is twenty five minutes before 8
The answer is to your question is 7:35.
Answer:
7:35 AM or PM
Step-by-step explanation:
depends on what time of day it is AM is daytime and PM is nightime. Ithink I deserver brainliest compared to the other answer. Up to you though.
At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be two selections there are two anwsers!
Answer:
[tex]x=\frac{\pi}{2}[/tex] and [tex]x=\frac{3\pi}{2}[/tex]
Step-by-step explanation:
We need to solve the 2 equations to figure out the x-values (intersecting points).
Note: The identity [tex]cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)[/tex]
[tex]cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]
So they intersect at [tex]x=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]
Answer:
x=pi/2 and x=3pi/2
Step-by-step explanation:
PLEASE HELP ME!!! I REALLY need it!
Answer:
Step-by-step explanation:
The correct answer is B. The reason why is that you want the total number of floors traveled, so putting each number in an absolute value equation puts it as a positive value. 9 + 12 + 5 + 8 = 34 total floors traveled. Hope that helps.
Yasmin has a bag containing 165 colored beads. Her classmates take turns selecting one bead from the bag without looking, recording the color in the table, and replacing the bead. Based on the table, about how many beads of each color are in Yasmin’s bag? Enter your answers in the boxes. Color Red Brown Orange Yellow Number of Beads 10 15 17 13 red, brown, orange, yellow
Answer:
30 , 45 , 51 , 39
Step-by-step explanation:
You just add up the numbers until you get 165
Number of beads of each color in Yasmin's bag is:
Red-- 30
Brown-- 45
Orange-- 51
Yellow-- 39
Step-by-step explanation:The record of experiment are as follows:
Color Red Brown Orange Yellow
Number of Beads 10 15 17 13
Total number of beads recorded=10+15+17+13=55 beads
Also, the Probability of Red bead is=10/55
Probability of Brown bead is=15/55
Probability of Orange bead is=17/55
Probability of Yellow bead is=13/55
Number of red beads in Yasmin's bag are:
[tex]\dfrac{10}{55}\times 165=30[/tex]
Number of brown beads in Yasmin's bag are:
[tex]\dfrac{15}{55}\times 165=45[/tex]
Number of orange beads in Yasmin's bag are:
[tex]\dfrac{17}{55}\times 165=51[/tex]
Number of yellow beads in Yasmin's bag are:
[tex]\dfrac{13}{55}\times 165=39[/tex]
What are the values of s,v,w,x,y,z?
Answer: s, v, w, & x = 13 y = 20 z = 20 + 13√3
Step-by-step explanation:
First, you need to understand the side lengths of each special triangle in the drawing.
A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2
A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b
The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.
So A F = 13 → s = 13 and w = 13
FB = 13 → x = 13
EC = 13 → v = 13
Since the x-value of C is 20, then the x-value of E is also 20 → y = 20
ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3. Since EC = 13, then ED = 13√3.
AE + ED = AD
20 + 13√3 = AD → z = 20 + 13√3
Helpp
Given: m AB =32°, AC ≅BC, tangent AS
Find: m∠CAO, m∠SAC
Answer:
m∠CAO=8º
m∠SAC=82º
Step-by-step explanation:
We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.
OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.
Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.
To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.
6m^5 + 3 + m^3 - 4m)- (m^5 +2m^3 - 4m +6) =
Answer:
5m^5-m^3-3
Step-by-step explanation:
What you do is you have to distribute the negative sign into the equation.
-m^5-2m^3+4m-6. Next, you will either add or subtract from the other equation.
6m^5-m^5=5m^5.
m^3-2m^3=-m^3.
-4m+4m=0m or you don't put anything.
3-6=-3. Then you put it all together to get.
5m^5-m^3-3 as your answer.
Which method is the most efficient method to use to solve x^2+5x-6=0
Answer:
Factoring
Step-by-step explanation:
We have the function [tex]x ^ 2 + 5x-6 = 0[/tex]
To factor this expression we must look for two numbers a and b that when adding them give as a result 5 and multiplying them give as a result -6
Then the factorization will have the form
[tex](x + a)(x + b)[/tex]
You can verify that:
[tex]a = 6\\b = -1\\6(- 1) = -6\\6 -1 = 5[/tex]
So:
[tex]x ^ 2 + 5x-6 = (x + 6)(x-1) = 0[/tex]
So:
The solutions are:
[tex]x = -6\\x = 1[/tex]
A college football stadium holds 45,000 fans. In a random sample of 30 fans, 25 were wearing the colors of the home team. Predict the number of fans who are wearing the colors of the home team.
Answer:
A
Step-by-step explanation:
Remark
Just as a guess, the answer should be A or B. It's always a good idea to estimate an answer so that if you get something really far away, you know it is incorrect.
Equation
Set up a proportion for the problem
26/30 is the basic ratio of the home fans wearing the right color
x/45000 is the ratio of those in the entire stadium.
Solution
26/30 = x / 45000 Cross multiply
30x = 26 * 45000 Simplify the right
30x = 1170000 Divide by 30
30x/30 = 1170000/30
x = 39000 And that is A
Neishai jogs around the block four times every hour. What is the algebraic equation to express the function of the total number of times Neishai jogs around the block?
A. 4j = h
B. j = 4h
C. h = 4j
D. 4 = j + h
I absolutely love these.
Your answer would be A since "h" is how many hours has pass and "J" is your jogging.
A + B = C.
Your "A" is the number of jogs you have, "B" is "h", and your "C" is "j".
Hopefully this helps!
Answer:
A) is what you are kooking for Bro
Step-by-step explanation:
Good day to you!
Frank's fruit stand holds a total of 220 apples and oranges. Frank has 6 apples for every 4 oranges in his stand. What is the total number of oranges Frank currently has?
Frank has 88 oranges at his stand, found by setting up an equation based on the ratio of apples to oranges (6:4) and the total count of fruit (220) and solving for x.
We need to find out the total number of oranges at Frank's fruit stand given that there are 220 fruits in total and the ratio of apples to oranges is 6:4. To do this, let's denote the total number of apples as 6x and the total number of oranges as 4x. The reason behind this is to maintain the ratio of 6 to 4 (or 3 to 2 when simplified). Since the total amount of apples and oranges is 220, we can set up the equation:
6x + 4x = 220
Combining like terms, we get:
10x = 220
Dividing both sides by 10 yields:
x = 22
Now that we have the value of x, we can find the number of oranges (which is 4x) by multiplying 4 by 22:
4x = 4 * 22 = 88
Therefore, Frank has 88 oranges at his fruit stand.