Answer:
1/24
Step-by-step explanation:
1 of the 6 possible rolls is a 4, meaning there is a 1/6 probability of rolling 4.
13 of the 52 cards are hearts, meaning that there is a 1/4 probability of drawing a heart.
1/6 * 1/4 = 1/24
Which property justifies the following statement? If ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3.
Answer:
transitive property
Step-by-step explanation:
The given statement is an example of transitive property.
What is transitive property?The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”.
Given that, ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3.
This is an example of transitive property.
Transitive property states that, if a = b and b = c then a = c
Hence, the given statement is an example of transitive property.
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Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is . The equation of line p is y = 1/2x + ?.
Answer:
y = (1/2) x -10
Step-by-step explanation:
Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !
2x + y = -7 rewrite in form y=
y = -7 -2x
slope of this line is -2
perpendicular lines are opposite reciprocals so the line p has a slope = 1/2
line p passes through (8, -6) so plug in point into equation of p and get ?
y = 1/2 x +?
-6 =1/2(8) +?
-6 =4 + ? subtract 4 from both sides
-6-4 = ?
-10 = ?
y = (1/2) x -10
i need some help please
Answer:
Choice D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
3×4h equals 12h, and 3×2k equals 6k. Which is also known to be 12h+6k.
log 10(x + 3) – log 10(x-3) = 1
Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9
A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the
function has a negative leading coefficient and is of even degree, which statement about the graph is true?
The graph of the function is positive on (-0, 5).
The graph of the function is negative on (-5, 3)
The graph of the function is positive on (-0, 1).
The graph of the function is negative on (3,co)
Mark this and return
Save and Exit
Sabem
Answer:
The graph of the function is negative on (3, ∞)
Step-by-step explanation:
The function starts negative at the left side of the graph, crosses the x-axis at x = -5, touches the x-axis at x = 1, again crosses into negative values at x = 3.
The function is positive on the open intervals (-5, 1) and (1, 3). It is negative on the open intervals (-∞, -5) and (3, ∞). The latter description matches the last answer choice:
the graph of the function is negative on (3, ∞).
HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work
Answer:
x = 25
Step-by-step explanation:
Log10 ( x - 21 ) + Log10 ( x ) = 2,
Log10 ( ( x - 21 )x ) = 2,
( x - 21 )x = 100,
Simplify:
x^2 - 21x = 100,
x^2 - 21x - 100 = 0,
x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : 25
and
x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : -4
( x = 25 ) ⇒ true
( x = - 4 ) ⇒ false
Answer: x = 25
write an equation of a line that is parellel to x=8 and that passes through the point -3,-2
Since the line is parallel to x = 8, the slope doesn't change.
In this case, the slope is undefined so nothing changes.
All we need to do is find the x-coordinate in (-3, -2). The x-coordinate is -3.
So, the equation will be x = -3
Best of Luck!
write it as a product: -[tex]ax^{6}[/tex]+[tex]\frac{1}{8}[/tex]
Answer:
[tex]\frac{-abx^{6}+1 }{b}[/tex]
Step-by-step explanation:
How many groups of 7 are in 21?
A movie theater decreased the size of its popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags hold
Answer:
Your answer will be [tex]12[/tex] cups of popcorn.
Step-by-step explanation:
To find out how much the new bags hold, you need to find out the discount.
[tex]\frac{20}{100 } = .2[/tex]
[tex]15 * .2 = 3[/tex]
We know that the discount is [tex]3[/tex].
To figure out how much the new bags hold, subtract by the old bags.
[tex]15 - 3 = 12[/tex]
The new bags hold 12 cups of popcorn.
if a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?
Answer:
3x + 2y = -2
Step-by-step explanation:
Given Equation is − 2 x + 3 y = 12
3 y = 2 x + 12
y = ( 2 /3 ) y + 12
Slope of this line is m = 2/ 3
Slope of Line A m a = 2
Slope of Line B m b = 2/ 3
Slope of Line C m c = − ( 2 /3 )
Slope of Line D m d = − ( 3 /2 )
since m d = − 1 /m , D is perpendicular to the given line
PLZ HELP
Figure ABCD is reflected across the x-axis.
What are the coordinates of A' , B' , C' , and D' ?
Enter your answer in each box.
A' (
,
)
B' (
,
)
C' (
,
)
D' (
,
)
A graph with a quadrilateral on it formed between points A begin ordered pair 2, 3 end ordered pair, B begin ordered pair 5, 5 end ordered pair, C begin ordered pair 7, 3 end ordered pair, and D begin ordered pair 5, 2 end ordered pair
Answer:
A' (2,-3)
B' (5,-5)
C' (5,-2)
D' (7,-3)
Step-by-step explanation:
I used desmos graphing calculator to help me solve
Answer: The answers would be A= 2,-3 B= 5,-5 C=-5-2 and D= 7,-3
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.The equation ex = 6 − 5x is equivalent to the equation f(x) = ex − 6 + 5x = 0. f(x) is continuous on the interval [0, 1], f(0) = ____, and f(1) = ____. Since f(0) < 0 < f(1), there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 6 − 5x, in the interval (0, 1).
Answer:
f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11
Step-by-step explanation:
hope this helps
There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
It is required to find the functions has f(0) and f(1).
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
Using Intermediate value Theorem we have
If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point (a ,b) whereby F(c) = 0
The equation is
[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on interval [0, 1],
This shows that the F(x) is continuous on (0,1).
[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]
e = 2.7182
since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )
Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
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What is the area of the triangle
Answer:
A. 6 inchesssssssss
Answer:
6
Step-by-step explanation:
Daniel has $5000 in a savings account, has $7000 in investments, owns a
$10,000 car, and owns a $32,000 house. What is the total value of his large
assets?
O A. $42,000
B. $22,000
C. $12,000
D. $54,000
Answer:$42,000
Step-by-step explanation:
The total value of his large assets is $42,000.
What is large assest value?Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.
Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.
The total value of his large assets is determined in the following steps given below.
[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]
Hence, the total value of his large assets is $42,000.
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Bob and Cheryl are taking a road trip that is 188.20 miles. Bob drove 1/4 of the total distance. How many miles did Bob drive
Answer:47.05 miles
Step-by-step explanation:
Divide 188.20 by 4 be careful of where you put the decimal point. It is also possible to multiply 188.20 by .25 and get the same answer.
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4. Ming's vegetable garden has the shape shown
below. What is the area of the entire garden?
6 m
6
m
3 m
Answer: 108 meters
Step-by-step explanation:
Area = length x width x height
A = 6 x 6 x 3
Area = 108m
which is an equation of the line thruogh (-1,-4) and parallel to the line 3x+y=5
Answer:
y = -3x-7
Step-by-step explanation:
3x+y=5
First put this in slope intercept form
Subtract 3x from each side
3x-3x+y=-3x+5
y = -3x+5
The slope is -3 and the y intercept is 5
Parallel lines have the same slope so our new line will have a slope of -3
It goes through the point (-1,-4)
Using slope intercept form
u = mx+b
y = -3x+b
Substituting the point into the equation to solve for b
-4 = -3(-1) +b
-4 = 3+b
-4-3 = b
b = -7
Using the slope and the y intercept
The line is y = -3x-7
Answer:
y = -3x - 7
Step-by-step explanation:
3x + y = 5
y = -3x + 5
Parallel lines have the same slope, so m = -3
y - -4 = -3(x - -1)
y + 4 = -3(x + 1)
y + 4 = -3x - 3
y = -3x - 7
The square of a number decreased by twice the number is equal to 28 more than the number. Find all possible values for the number
Answer:
-4 or 7
Step-by-step explanation:
Let x represent the number. Then the problem statement tells us ...
x^2 -2x = 28+x
x^2 -3x = 28 . . . . . subtract x
x^2 -3x +2.25 = 30.25 . . . . add the square of half the x coefficient
(x -1.5)^2 = 30.25 . . . . . . . . write the left side as a square
x -1.5 = ±5.5 . . . . . . . . . . . . take the square root
x = 1.5 ±5.5 = {-4, 7} . . . . . . . add 1.5
The number may be either -4 or 7.
Which ordered pair (x,y) is a solution to the following?
y = 2x + 5
O(-2,1)
O(2,7)
O(1,6)
O(-3,11)
Answer:
(-2,1)
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answer:
C. 65
Step-by-step explanation:
Compare to the standard form ...
ax² +bx +c
to find the values of a, b, c. They are ...
a=2, b=3, c=-7
The discriminant is ...
d = b² -4ac
d = (3)² -4(2)(-7) = 9 +56
d = 65 . . . . . . matches choice C
If ab is parallel to cd and the slope of cd is -5, what is the slope of ab?
Answer:
The slope of AB is -5.
Step-by-step explanation:
Parallel lines copy the same slope, so if CD and AB are parallel lines, they will both have the same slope of -5.
1 hour is equal to how many seconds
Answer: 3600 seconds
Step-by-step explanation:
60 seconds in a minute
60 minutes in an hour
(60)(60) = 3600
Answer:
3600
Step-by-step explanation:
There are 60 seconds in 1 minute
30 minutes equal 1800
So, 1800 + 1800 is 3600.
Hope this helps! :)
In the data set below, what is the upper quartile?
3344466889
Answer:8
Step-by-step explanation:
3 3 4 4 4 6 6 8 8 9
data in upper quartile section are 6 8 8 9
We therefore find the median of 6 8 8 9
The median is the upper quartile
Upper quartile=(8+8)/2
Upper quartile=16/2
Upper quartile=8
What is 1 2/3 - 2 1/3?
Step-by-step explanation:
First it will be easer if you turn both sides into improper fractions
5/3-7/3
Now do 5-7
5-7=-2
The bottom of the fraction stays the same
-2/3 is your answer.
Question 4:
Nathan has three quarters, two nickels, and eleven pennies. How much money does he have?
Answer:
96Step-by-step explanation:
quarters = 25 cents so 3 quarters is 75
nickels= 5 cents so 10
pennies= 11
11+10+75
Answer:
96¢
Step-by-step explanation:
25+25+25=75
75+5+5=85
85+1+1+1+1+1+1+1+1+1+1+1=96
Therefore Nathan has 96¢
Hope that helps! If you have any further questions comment down below or message me! Good luck!
What is 5/4 divided 9/4
Answer: [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{4} }{\frac{9}{4} }[/tex]
When multiplying by fractions, invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{5}{4}*\frac{4}{9}[/tex]
Simplify 4.
[tex]\frac{5}{9}[/tex]
Answer:5/9
Step-by-step explanation:
5/4 ➗ 9/4
The division sign would change to multiplication,and the numerator and denominator in the right hand fraction would be inverted
5/4 x 4/9
Multiply both fractions
(5x4)/(4x9)
20/36
Reduce the fraction to the lowest term by dividing both numerator and denominator by 4
(20 ➗ 4)/(36 ➗ 4)=5/9
Plz help me -Thanks
Answer:
She is wrong
Step-by-step explanation:
Bacause it can't feet according to the area given
The tiles are bigger
Answer:
[tex]\mathrm{Sum\:of\:Exterior\:Angle\:\ne \:Interior\:Angle}\:\\\\132^\circ\ne135^\circ[/tex]
Step-by-step explanation:
The exterior angle two figures on the left (hexagon and pentagon) sums up to [tex]132^\circ[/tex]. The interior angle of figure on the right must be equal to this sum to fit in. The interior angle of an octagon is [tex]135^\circ[/tex].
So, it is not possible to fit the octagon in the combination of other two tiles.
Regards: Umer
sam has 356 stuffed animals all of wich are either cats or eliphants the number of elephants he owns is 17 more than twice the number of cats.
how many of each type of stuffed animal does he own.
Answer:
113 cats243 elephantsStep-by-step explanation:
If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.
The number of cats is 339/3 = 113.
The number of elephants is 356 -113 = 243 = 2·113 +17.
Sam has 113 cats and 243 elephants.
what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94
Answer:
0.733
Step-by-step explanation:
Using a calculator or table:
P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)
P(-1.32 < Z < 0.94) = 0.8264 − 0.0934
P(-1.32 < Z < 0.94) = 0.733
