Answers
well, lateral area means only the area of the sides, namely just the four triangular faces.
[tex]\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}~~ \begin{cases} s=sides\\ \cline{1-1} s=8 \end{cases}\implies A=\cfrac{8^2\sqrt{3}}{4}\implies A=16\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 4 triangles}}{4(16\sqrt{3})}\implies 64\sqrt{3}[/tex]
Related Questions
Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.
Which of Jubal’s equations has no solution hurry please
Answers
Answer:
3x+2=3x-2
Step-by-step explanation:
The second equation has no solution, because is not true
so
3x+2=3x-2 ------> is not true
therefore
The equation has no solutions
Answer:
[tex]3x+2=3x-2[/tex]
Step-by-step explanation:
When an equation has no solution there's no true value for x. What we have is a Contradiction, a false answer.
1)The first and the last equation has a true solution in the form:
[tex]0x=0[/tex]
True
2)The third one has a solution:
[tex]x=7[/tex]
True
3) The second one
[tex]3x+2=3x-2\\0x=-4[/tex]
FALSE
A Contradiction. Then, this one has no solution.
Select the correct answer
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
•
A.13
B.40
C.56
D.64
Answers
Answer:
The correct answer option is C. 56.
Step-by-step explanation:
We are given that a group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets.
We are to find the number of combinations these 5 friends could
possibly receive the tickets.
Here, we will use the concept of combination as the order of the friends is not specific.
[tex]5C5+ (5C4 * 3C1) + (5C3*3C2) + (5C2*3C3)[/tex]
[tex]=1+5*3 + 10*3 +10*1 = 1+15+30+10=[/tex] 56
Answer:
Answer is C.
Step-by-step explanation:
The general formula for calculating combinations is:
[tex]\frac{n!}{k!(n-k)!}[/tex]
Where n is the total number of options and k is the number of options in the combination.
In this case, sub in the numbers given in the question:
[tex]\frac{8!}{5!(8-5)!}[/tex]
[tex]=\frac{8\times 7 \times 6 }{3 \times 2}[/tex]
[tex]=8 \times 7[/tex]
[tex]=56[/tex]
A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x
Answers
Answer:
x = 5
Step-by-step explanation:
The formula for the gradient is given by:
m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.
Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:
2.5 = (13 - 8)/(x - 3)
2.5(x - 3) = 5 (Multiply both sides by (x - 3))
x - 3 = 2 (Divide both sides by 2.5)
x = 5 (Add 3 to both sides)
Thus, the value of x is 5.
Find the product
x^5•x^4•x^3
Answers
If you are multiply, and all of the numbers are the same, then you add the powers. And if you divide, you subtract the powers.
Since all of the base numbers are the same (there are all x), then you add the powers:
x⁵ * x⁴ * x³ = x¹² ( 5 + 4 + 3 = 12)
--------------------------------------------------------
Answer:
x¹²
Jamar is planning to survey a company’s employees. He will ask employees how long they’ve worked for the company and how much they are paid. Do you think this data set will be skewed left, skewed right, or symmetric? Explain why.
Answers
Answer: I believe skewed right
Step-by-step explanation:
Their is a higher chance that it is skewed right because new workers will be coming in while long term workers will be retiring meaning that more workers will be toward the left side of the graph making anyone who has worked longer for the company possible outliers, which drags the graph to the right making it skewed right
Answer:
The data set would most likely be skewed right. The majority of employees would be paid an average amount, and only a few high-ranking employees would be paid significantly higher amounts. This data would result in a longer tail on the right with the majority of the data points on the left. In general, real-world situations are not symmetrical. This often occurs when one end of the range is bound by limits. In this case, the left side is bound by the minimum wage that must be paid to workers. On the right side, the president and other executives in the company probably don’t have a limit on their salaries.
Step-by-step explanation:
the plato answer
The bolo cavern outside of vandalia is 421 ft below sea level. A little more than75 miles away. Mt Owens is 7295 feet above sea level. What is the difference in elevation between the bolo cavern and Mt Owens?
Answers
Answer:
The difference in elevation is 7,716 ft
Step-by-step explanation:
Let
y -----> the elevation of Mt Owens
x -----> the elevation of the bolo cavern
we know that
To find the difference in elevation between the bolo cavern and Mt Owens, subtract the elevation of the bolo cavern from the elevation of Mt Owens
we have
y=7,295 ft ----> is positive because is above sea level
x=-421 ft ----> is negative because is below sea level
therefore
y-x=7,295-(-421)=7,295+421=7,716 ft
Final answer:
To determine the difference in elevation between Bolo Cavern and Mt. Owens, add the absolute values of their elevations: 421 feet below sea level and 7295 feet above sea level, respectively, resulting in a difference of 7716 feet.
Explanation:
The question asks for the difference in elevation between the Bolo Cavern, which is 421 feet below sea level, and Mt. Owens, which is 7295 feet above sea level. To find the difference in elevation, we add the absolute values of both elevations together since one is below sea level and the other is above.
The elevation of the Bolo Cavern is -421 feet (below sea level), and the elevation of Mt. Owens is +7295 feet (above sea level). The difference in elevation is:
|-421| + |7295| = 421 + 7295 = 7716 feet.
Therefore, the difference in elevation between the Bolo Cavern and Mt. Owens is 7716 feet.
PLEASE HELP
solve for R
what is R equal to
Answers
Steps:
First, move r to the left side of the equation and change its sign.
-r + p = - c
Then, move p to the right side and change its sign.
-r = -c - p
Multiply both sides of the equation by -1. This will change the variables back to positives, because any expression multiplied by -1 equals its opposite.
-1(-r) = -1(-c) -1(-p) =
r = c + p (don’t forget to change the sign)
So, your final solution is: r = c + p or r = p + c
Noemi strings together x green beads at $0.75 each with 3 blue beads at $0.30 each. She makes a bracelet that averages $0.60 per bead. Write an equation to model the situation
Answers
Given that Noemi makes a bracelet that averages $0.60 per bead, we need to write an equation that models this average bead cost. This can be found by taking the total cost of the beads and dividing it by the number of beads used.
1. The total cost of the beads may be found by multiplying the price of each type of bead by the number used, and then adding these values together. Thus:
Total Cost = 0.75x + 3*0.3
= 0.75x + 0.9
2. Total number of beads = x + 3
3. Thus, the average cost is:
(0.75x + 0.9)/(x + 3)
4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:
0.6 = (0.75x + 0.9)/(x + 3)
The equation that represents Noemi's situation with the beads is [(0.75x) + (3*0.30)] / (x + 3) = 0.60, where x is the number of green beads. This equates the average cost per bead to the total cost of all the beads divided by the total number of beads.
Explanation:Noemi strings together x green beads at $0.75 each with 3 blue beads at $0.30 each and she makes a bracelet that averages $0.60 per bead. We can therefore write the situation as an equation where the total cost of the beads is equal to the average cost per bead times the total number of beads.
That is,[tex][(0.75x) + (3*0.30)] / (x + 3) = 0.60[/tex]
This equation represents the total cost of the green and blue beads (0.75x + 0.90), divided by the total number of beads (x + 3), is equal to the average cost per bead ($0.60). You can solve this equation for x to find the number of green beads Noemi used in her bracelet.
Learn more about Algebra here:https://brainly.com/question/32436021
#SPJ3
Which is the definition of a line sediment
Answers
Answer:
If it is sediment: A sediment trap is a T-shaped pipe configuration designed to catch any debris in a gas line before it goes into the appliance.
Or if it was a typo and its supposed to say segment:line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
Step-by-step explanation:
I know this because of the help of google.
Solve the formula c = pie d for d
Answers
Answer:
[tex]\large\boxed{d=\dfrac{C}{\pi}}[/tex]
Step-by-step explanation:
It's the formula of a circumference:
[tex]C=\pi d[/tex]
d - diameter
Solve for d:
[tex]\pi d=C[/tex] divide both sides by π
[tex]d=\dfrac{C}{\pi}[/tex]
Answer:
he is right. you need to divide both sides by pie which is 3.14
Step-by-step explanation:
A small tank, which initially contained 150 gallons of water, is being drained at a constant rate of 2 gallons per minute. In how many minutes will the tank be half- empty?
Answers
Answer:
The tank will be half empty after 37.5 min, or 37 min 30 sec.
Step-by-step explanation:
"Half empty" means that the tank still contains 75 gallons of water.
75 gallons
---------------- = 37.5 min
2 gal/min
The tank will be half empty after 37.5 min, or 37 min 30 sec.
2x= gpm-gallons per min at which the tank is being drained.
150 being the initial amount
2x-150
Since the question is asking how long it’ll take for the take to be half empty take the initial amount and divide it by 2.
2x-75
Add 75 to the right
2x=75
X=37.5
what is the value of y
Answers
Answer:
B y=40
Step-by-step explanation:
60-3y+60=180-60
3y=120/3
y=40
a coin is rolled three times.find the probability of getting 2 heads
Answers
There are 8 possible outcomes when you throw a coin three times:
[tex]HHH,\ HHT,\ HTH,\ HTT,\ THH,\ THT,\ TTH,\ TTT[/tex]
Out of these combination, the ones with exactly two heads are
[tex]HHT,\ HTH,\ THH[/tex]
So, 3 combinations out of 8 have exactly two heads. This means that the probability of having two heads with three coin throws is 3/8
Answer: [tex]\bold{\dfrac{3}{8}}[/tex]
Step-by-step explanation:
Step 1: Numerator
You are looking for an outcome of getting exactly two heads out of a total of three tosses. This can be written as: ₃C₂
The formula for a combination problem is: [tex]\dfrac{n!}{r!(n-r)!}[/tex]
n is the total number of tossesr is the total number of successes (in this case, heads)[tex]_3C_2=\dfrac{3!}{2!(3-2)!}=\dfrac{3\times2\times1}{2\times1\times 1}=3[/tex]
There are 3 successes (heads)
Step 2: Denominator
You are looking for the total possible combinations of heads and tails for three tosses (2³)
1st toss and 2nd toss and 3rd toss
2 x 2 x 2 = 8 total possible outcomes
use the substitution method to solve the system of equations. y=7x +8 y=x +20
Answers
Answer:
x = 2, y = 22 → (2, 22)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=7x+8&(1)\\y=x+20&(2)\end{array}\right\qquad\text{substitute (1) to (2):}\\\\7x+8=x+20\qquad\text{subtract 8 from both sides}\\7x=x+12\qquad\text{subtract x from both sides}\\6x=12\qquad\text{divide both sides by 6}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2+22\\y=22[/tex]
he simultaneous equations
5x + y = 21
x - 3y = 9
With working out
Answers
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
5x + y = 21 → (1)
x - 3y = 9 → (2)
Multiply (1) by 3 and add the result to (2) to eliminate y term
15x + 3y = 63 → (3)
Add (2) and (3) term by term
(x + 15x) + )- 3y + 3y) = (9 + 63)
16x = 72 ( divide both sides by 16 )
x = 4.5
Substitute x = 4.5 into (1) for corresponding value of y
22.5 + y = 21 ( subtract 22.5 from both sides )
y = - 1.5
Solution is (4.5, - 1.5 )
Solve the system of equations y=2x-3 y=x^2-2x-8
Answers
Answer:
[tex]\boxed{x = -1; \, x = 5}[/tex]
Step-by-step explanation:
(a) Set the two functions equal to each other
[tex]\begin{array}{rcl}y & = & 2x - 3\\y & = & x^{2} - 2x - 8\\2x - 3 & = & x^{2} - 2x - 8\\2x & = & x^{2} -2x - 5\\x^{2} - 4x - 5 & = & 0\\\end{array}[/tex]
(b) Factor the quadratic equation
Find two numbers that multiply to give -5 and add to give ₄9.
Possible pairs are 1, -5; -1, 5;
By trial and error, you will find that 1 and -5 work:
1 × (-5) = -5 and 1 - 5= -4
x² - 4x - 8 = (x + 1)(x - 5)
(c) Solve the quadratic
[tex]\begin{array}{rlcrl}x+ 1 & =0 & \qquad & x - 5 & =0\\x & = -1 & \qquad & x & = 5\\\end{array}\\\text{The solution to the system of equations is }\boxed{\mathbf{x = -1; x = 5}}[/tex]
the solutions to the equations is (-1, -5) and (5, 7)
What is the product?
Answers
Answer:
[tex]\large\boxed{\left[\begin{array}{ccc}6&18\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}4&2\end{array}\right] \times\left[\begin{array}{ccc}-2&5\\7&-1\end{array}\right] =\left[\begin{array}{ccc}(4)(-2)+(2)(7)&(4)(5)+(2)(-1)\end{array}\right] \\\\=\left[\begin{array}{ccc}-8+14&20-2\end{array}\right] =\left[\begin{array}{ccc}6&18\end{array}\right][/tex]
what is the value of 2 b + 24 equals 30
Answers
Answer:
b= 3
Step-by-step explanation:
2b + 24 = 30
combine the like terms
2b = 30 - 24
2b = 6
divide via by 2
b = 6/2
b = 3
Please mark me brainliest
Franco scored 9 3/5 in a gymnastics cam petition. Which point on the number line represents his score.
Answers
Answer:
K
Step-by-step explanation:
They scored a 9.35 and K is between 9.25 and 9.5.
Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y = mx + b
what is the value of b?
-21
4
11
27
Answers
[tex]\bf J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-(-5)}{-6-(-4)}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-4[x-(-4)]\implies y+5=-4(x+4)[/tex]
[tex]\bf y+5=-4x-16\implies y=-4x\stackrel{b}{\boxed{-21}}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Look at the models it. Explain how you know 1 4/5 is equal to 9/5
Answers
Answer:
9/5 is 4 over 1 so you would have 1 and add 4 on and since it is out of 9 it would be 1 4/5
Step-by-step explanation:
The mixed fraction [tex]1 \frac{4}{5}[/tex] after solving gives the value of the fraction as 9/5.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There is a fraction, containing a numerator(upper value) and denominator(lower value). A proper fraction is also called a fraction that is less than 1. A mixed fraction contains a sum of a whole number and a proper fraction.
We know that 9/5 is 4 over 1
Therefore, we would have 1 and add 4 on.
Since it is out of 9 then it would be [tex]1 \frac{4}{5}[/tex]
Hence, the mixed fraction [tex]1 \frac{4}{5}[/tex] after solving gives the value of the fraction as 9/5.
Learn more about fractions;
https://brainly.com/question/729654
#SPJ2
Answer this question thanks:)
Answers
First multiply 2 to both sides to isolate q. Since 2 is being divided by q, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
[tex]\frac{q}{2}[/tex] × 2 < 2 × 2
q < 4
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
q < 4
aka q is less then four
This means that the graph will have an empty circle and the arrow will go to the left of 4. (look at image below)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Look at the picture
Step-by-step explanation:
[tex]<,\ >-\text{op}\text{en circle}\\\\\leq,\ \geq-\text{closed circle}\\\\<,\ \leq-\text{draw a ray to the left}\\\\>,\ \geq-\text{draw a ray to the right}[/tex]
[tex]\dfrac{q}{2}<2\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{q}{2\!\!\!\!\diagup_1}<2\cdot2\\\\q<4[/tex]
[tex]\text{op}\text{en circle on number 4}\\\\\text{draw a ray to the left}[/tex]
find the perimeter of the following.
Answers
Answer:
24.997 = 25.00 (rounded off to 2 decimal figures)
Step-by-step explanation:
By observation, we can see that both straight lines are of equal length and that the angle between the lines is 90°. Hence we can conclude that this is a quadrant of a circle with radius, r = 7 cm.
length of the curved section
= 1/4 x circumference of the circle
= 1/4 x 2πr
= 1/4 x 2 x 3.142 x 7
= 10.997 cm²
HEnce circumference = 10.997 + 7 + 7 = 24.997 = 25.00 (rounded off to 2 decimal figures)
What does it mean for data to be continuous?
Answers
Answer:
For data to be continuous, it can take on any value.
Step-by-step explanation:
For example, a line on a coordinate graph never stops at a certain point, if it does, it would be discrete.
Solve log base 2 of one eighth
Answers
Answer:
-3
Step-by-step explanation:
[tex]log_{2}[/tex] (1/8)
= [tex]log_{2}[/tex] 1 - [tex]log_{2}[/tex] 8 ( recall [tex]log_{2}[/tex]1 = 0)
= 0 - [tex]log_{2}[/tex] 8
= - [tex]log_{2}[/tex] 8 (change base to base 10)
= - (log 8) / (log 2) (now you can use a calculator)
= - 3
The log base 2 of [tex]\frac{1}{8}[/tex], i.e., [tex]\log_2 \frac{1}{8}[/tex] is -3.
In mathematics, the logarithm, denoted as "log," is an important mathematical function that represents the exponent to which a fixed base must be raised to obtain a given number. It is the inverse operation of exponentiation.
The logarithm function is typically written as [tex]log_b(x)[/tex], where x is the number for which we want to find the logarithm and b is the base. The base can be any positive number greater than 1, commonly used bases include 10 (logarithm to the base 10, often written as log(x)) and the mathematical constant e (natural logarithm, often written as ln(x)).
[tex]\log_2 \frac{1}{8}[/tex] = [tex]\log_2 2^-^3[/tex]
= -3.
So, [tex]\log_2 \frac{1}{8}[/tex] is -3.
Learn more about log here:
https://brainly.com/question/32621120
#SPJ6
it takes 41 minutes for 9 people to paint 9 walls. How long doe sit take for 14 people to paint 14 walls
Answers
41 minutes
Explanation:When 9 people are painting 9 walls, there are the same amounts of people and walls. This means all of the walls are being painted at the same time, with one person painting each wall.
The same applies to 14 people painting 14 walls. All of the walls are being painted at the same time, with one person painting each wall.
Even if there was only one person painting one wall, it would take 41 minutes.
Answer:
41 minutes
Step-by-step explanation:
It takes 41 minutes for 9 people to paint 9 walls.
9 walls/ 9 people = 1 wall / person
So it takes 41 minutes for 1 person to paint 1 wall
14 walls/ 14 people = 1 wall / person
It will take the same amount of time
41 minutes
Select the correct answer and then click Done
What is the median of the set of values?
307 309 323 304 390 398
Answers
Answer : The median of the given set of data of values is, 323
Step-by-step explanation :
Median : It is the middle term that is sorted by the list of numbers. It is determine by placing the numbers in increasing order.
For odd observations the formula will be: [tex]\frac{n+1}{2}[/tex]
For even observations the formula will be: [tex]\frac{n}{2}+1^{th}\text{ term}[/tex]
As we are given that the set of data:
307, 309, 323, 304, 390, 398
First we have to placing the numbers in increasing order.
304, 307, 309, 323, 390, 398
Now we have to determine the median.
For even data:
[tex]\frac{n}{2}+1^{th}\text{ term}[/tex]
n = 6
[tex]\frac{6}{2}+1^{th}\text{ term}[/tex]
[tex]4^{th}\text{ term}[/tex]
The number at 4th position is, 323
Thus, the median of the given set of data of values is, 323
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
y = x + 2
y = 2
y = 2x
Answers
Answer:
y = 2xStep-by-step explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
We have the slope m = 2 and the y-intercept b = 0. Substitute:
y = 2x + 0 = 2x
Answer: The correct option is (C) [tex]y=2x.[/tex]
Step-by-step explanation: We are given that the slope of a line is 2 and the y-intercept is 0.
We are to find the equation of the line written in the slope-intercept form.
The equation of a line in slope-intercept form is given by
[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.
For the given line, we have
slope, m = 2 and y-intercept, c = 0.
Therefore, the equation of the line in slope-intercept form will be
[tex]y=mx+c\\\\\Rightarrow y=2\times x+0\\\\\Rightarrow y=2x.[/tex]
Thus, the required equation of the line in slope-intercept form is [tex]y=2x.[/tex]
Option (C) is CORRECT.
Can someone Help me please
Answers
Answer:
mean=1.6
Step-by-step explanation:
The mean is the average of numbers so it is 0+1+2+2+3=8/5
Answer:
1.6
Step-by-step explanation:
To find the mean we divide the jokers by the decks of cards. There are 8 jokers and 5 decks of cards. 8/5=1.6. The mean is 1.6
Which statement is true regarding the parallel and
perpendicular lines in the diagram?
Answers
Answer:
W is parallel to N and N is perpendicular to M
Step-by-step explanation: