Step-by-step explanation:
In the 1st question
Total boxes = 6
Shaded boxes = 2
Probability = 2/6 = 1/3
simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8
Answer:
x=2
Step-by-step explanation:
x^5 * x^-3 =x^n
We know a^b * a^c = a^(b+c)
x^(5 -3) =x^n
x^2 = x^n
2=n
Answer:
C. 2
Step-by-step explanation:
When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)
Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?
Answer:
34
Step-by-step explanation:
Given
y = 34[tex](5)^{x}[/tex]
To find the y- intercept let x = 0, that is
y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept
Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres
Answer:
Prisms
Pyramids
Step-by-step explanation:
Lateral faces of a pyramid are triangles (3 sided polygon)
Lateral faces of prisms are rectangles (4 sides polygon)
Answer:
Cylinders, Prisms, Pyramids
Step-by-step explanation:
Hope this helps
Brainliest if correct pls
Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000
Answer: The answer is 10,000
Step-by-step explanation:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
(Your Welcome)
Answer:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
HELP
Answer:
6-5-4=z
9+3=12
Step-by-step explanation:
Expressions has no equal sign
top side is 6 just couldn’t fit in picture
Answer: [tex]6<z<18[/tex]
Step-by-step explanation:
Use the pythagorean theorem to find z first.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
a = 12
b = 6
c = z
[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]
z is greater than a and b
Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
Find the radius of the sphere with the given volume 36πin^3
Answer:
3 in.
Step-by-step explanation:
Which is a solution to x + 5 = 8?
Answer:
x = 3
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
Then you will get the answer that is x = 3
Hope this helps
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
Drag the tiles to the correct boxes to complete the pairs.
Match each quadratic equation with its roots.
Answer:
Step-by-step explanation:
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
20 POINTS! The following graph shows the amount of money Jonah earns when he babysits for the family who lives next door. Based on the graph, which of the following statements are true? Select ALL that apply.
When Jonah babysits one hour, he earns $7.50.
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
The number of hours Jonah works depends on how much he earns.
Answer:
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
Step-by-step explanation:
When Jonah babysits one hour, he earns $7.50.
looking at the graph we see at 1 hour he earns 4 dollars false
The equation e = 4 h can be used to describe this situation.
The slope is 4 so y = 4x e = 4h would also work true
Jonah earns $20 to babysit for 5 hours.
Using our equation from above
e = 4*5 = 20 true
The number of hours Jonah works depends on how much he earns.
This would be false
The dependent variable is on the y axis. The amount he earns depends on how much he works
Answer:
the second one and the third one
Step-by-step explanation:
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
Which theorem or postulate could be used to prove the congruence of the triangles?
Answer:
Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
The postulate used to prove the congruence of the triangles is ASA.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
∠90° = ∠90°
side = side (given)
Angle = Angle (given)
By ASA (angle side angle)
The triangles are congruent.
Thus,
The postulate is ASA.
Learn more about triangles here:
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Which of the following describe 9.49?
Answer:take 9x49
Step-by-step explanation:
You’ll get the answer
what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?
Answer:
y = 7/5x + 4
Step-by-step explanation:
use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.
(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4
This graph shows a proportional relationship. (2/3, 3/4)
What is the constant of proportionality?
Answer: Hi! I'd love to help you but I'd need to see the graph.
Step-by-step explanation: Can you add a picture?
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
Divide and answer in simplest form: 4/5 ÷ 2
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
Answer:
0.4 or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
First convert 4/5 into a decimal of 0.8
Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]
At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?
A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph
Answer:
A
Step-by-step explanation:
Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table
Answer:
105/7= 15 people will seat at each table.
Step-by-step explanation:
BRAINLIEST!!
3. Describe the shape of the data distribution.
Answer: postitive skewed
this is correct
A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly
Answer:
The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.
It's quadratic, linear or exponential?
HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!
Answer:
I believe it’s 1/2
Step-by-step explanation:
Take a point on the graph and use rise over run method
Answer:
D. 5/8 poundsStep-by-step explanation:
You can find the slope by picking a point such as (8,5).
Slope = rise over run.
(8,5) is 8 units right and 5 units up, thus the slope is 5/8
Hope this helps.
W varies inversely as the square of t. If W = 12 when t = 2,
find t when W = 27.
A. 27t = 24
B. 27t2 = 48
C. 108 = 12t
D. 12t = 54
Answer:
B
Step-by-step explanation:
Given W varies inversely as t² then the equation relating them is
W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation
To find k use the condition W = 12 when t = 2, thus
12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
k = 48
W = [tex]\frac{48}{t^2}[/tex] ← equation of variation
When W = 27, then
27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )
27t² = 48 → B
B) 27 t² = 48 will be the algebraic equation for t if W = 27.
What is proportionality?In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.
Given W varies inversely proportional to t² then the algebraic equation relating them is
W = k / t² is the constant of variation
for k we can use the condition W = 12 when t = 2,Hence,
12 = k / 2²
k = 48
When W = 27, then
27 = 48 / t² ( multiply by t² )
Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.
Learn more about proportionality here:
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If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:
0.76
0.61
0.65
0
Answer:
.76
Step-by-step explanation:
Determine the value of
X in the diagram below. Justify your reasoning.
Answer:
x = 70°
Step-by-step explanation:
Sum of external angles of polygon = 360
x + 150 + 140 = 360
x + 290 = 360
x = 360 - 290
x = 70°