9514 1404 393
Answer:
b. 60
Step-by-step explanation:
The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...
2^2 × 3^1 × 5^1 = 60
The GCF of 720 and 2100 is 60.
_____
Additional comment
You can verify this using Euclid's method of finding the GCF.
2100/720 = 2 r 660
720/660 = 1 r 60
660/60 = 11 r 0 . . . . 60 is the GCF
Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.
The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
1 cubic unit
5 cubic units
40 cubic units
55 cubic units
60 cubic units
Answer:
40 cubic units
Step-by-step explanation:
(8)
Tricia used 2 bags of sugar to bake some cupcakes.
She used of another bag of sugar to make some macaroons.
How many bags of sugar did she use altogether?
bags of sugar
Answer:
She used 3.
Step-by-step explanation:
You have 2 bags.
You have another bag.
You use all of them.
How many did you use altogether?
3.
Tricia used 2.5 bags of sugar altogether.
What is an expression?In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. It can be as simple as a single number or variable, or it can be more complex, involving multiple terms and operations.
Tricia used 2 bags of sugar to make cupcakes and used 1/2 of another bag of sugar to make macaroons.
Therefore, the total amount of sugar she used is:
2 + 1/2 = 2.5 bags of sugar.
So, The number of bags Tricia used was 2.5 bags of sugar altogether.
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please help ill give brainly !! (no links)
Alfred Weagner noticed that the outline of many continents fit together, much like a puzzle leading him to propose the idea of a single super continental. This continental is known as-
A ) Eurasia
B ) Ind-Australia
C ) America
D ) Pangaea
Answer:
This continental is known as-
D) Pangaea
Answer:
choice D ) Pangaea
(33x3+6x-9)+(-33x3+9x2-10)
Answer:
9x² + 6x -19
Step-by-step explanation:
= 33x³ + 6x - 9 - 33x³ + 9x² -10
= 33x³ - 33x³ + 9x² + 6x -10 -9
= 9x² + 6x -19
Graph the equation y=−x²−8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
Plot these points
(-3,0)
(-5,0)
(-4,1)
(-2,-3)
(-6,-3)
Step-by-step explanation:
Let find the zeros of the equation.
We can factor this equation.
Factor out the -1.
[tex] - 1( {x}^{2} + 8x + 15)[/tex]
Factor using AC method
[tex] - 1(x + 3)(x + 5)[/tex]
Set all the terms equal to zero.
[tex]x + 3 = 0[/tex]
[tex]x + 5 = 0[/tex]
[tex]x = - 3[/tex]
[tex]x = - 5[/tex]
So our x intercepts are -3,0 and -5,0.
To find our vertex, apply the -b/2a.
[tex] \frac{8}{ - 2} = - 4[/tex]
Then
Substitute-4 for x.
[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]
So our vertex is at (-4,1).
Find some other points like -2 and -6.
To find -2, substitute-2 into the quadratic.
[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]
So -2,-3.
Since y=-4 is the axis of symmetry
-6,-3
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = −x² − 8x − 15
On simplifying the equation , we get
y = -1 ( x² + 8x + 15 )
On factorizing the equation , we get
y = -1 ( ( x + 5 ) ( x + 3 )
So , the 2 values for x is -5 , -3
So , the two points are ( -5 , 0 ) and ( -3 , 0 )
The vertex will be -b/2a
Substituting the values in the equation , we get
The vertex = -8/2 = -4
So , when x = -4
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 1 x -1 )
y = 1
So , the vertex is at the point ( 4 , 1 )
Now , when x = -1
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 4 x 2 )
y = -8
So , the point is ( -1 , -8 )
Now , when x = -2
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 3 x 1 )
y = -3
So , the point is ( -2 , -3 )
Hence ,
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
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what distance will the divider be set at the scribe a 02.8" circle? .75" or 1.4" or 2.8" or 5.6"
9514 1404 393
Answer:
(b) 1.4"
Step-by-step explanation:
A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.
The divider is set to 1.4".
If you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00.
Answer:
D
Step-by-step explanation:
V_C_C
for the vowel = 2/5
for the consonant = 3/5
for next three picks it should be 2/5 * 3/5 *3/5 = 0.144
Answer:
D
Step-by-step explanation:
Vowel is 2/5 or 40%
Consonant is 3/5 or 60%
VCC is .4 x .6 x .6 = .144
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
How do I Solve 6=18x
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
given the measures of an angle below give the measure of complement and supplement
Answer: Where's the picture of the angle?
Step-by-step explanation:??
Pls answerwer for me
Plz help me well mark brainliest if you are correct!!
How many green jolos are there in balans colony?
Answer: B. 280
Step-by-step explanation:
ur welcome
Answer:
B) 280
Step-by-step explanation:
The simplest form of the expression -2x^2(x-5)+x(2x^2-10x)+x is ?
A woman leaves home and walks 3 mi. west, and then 4 mi. south. What is the magnitude of her displacement? Note: they are not asking you to add how far she went west and south. They are asking how far she is from home if she went directly back. Think of a triangle.
Answer:
5 milesStep-by-step explanation:
The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.
Use Pythagorean to find the distance:
x = [tex]\sqrt{3^2 + 4^2}[/tex] x = [tex]\sqrt{25}[/tex]x = 5 milesVector Review Practice Answers:
1. B - initial (14,-5); terminal (0,0)
2. A - sqrt(22^2 + 4^2)
3. B - <4,12>
4. D - Yes, the two vectors have the same magnitude and direction.
5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees
6. C - approximately 4 mi. at a direction angle of 56 degrees northeast
7. A - approximately 174 mph at a direction angle of 58 degrees northeast
8. A - -200
9. D - W = 59 ft*lbs
10. C - u = 4/5i - 3/5j
What is the correct rule for y, in terms of x?
Answer:
Step-by-step explanation:
The correct rule for y in terms of x is
y = 3x - 4
we can check even
here when x = 1
y = 3 * 1 - 4 = - 1
similarly
when x = 2
y = 3 * 2 - 4 = 2
and so on you can check.
hope it helps :)
Answer:
the rule is y=3x-4
Step-by-step explanation:
m=y2-y1/x2-x1
m=2--1/2-1
m= 3/1
m=3
general equation of a line,
y=mx+c
if y=3x+c
if x=1 y=-1
-1=3+c
-4=c
therefore y=3x-4
Find the perimeter of this semi-circle with diameter, d = 52cm.
Answer:
Perimeter = 133.681 cm
or 52.63 inches.
Step-by-step explanation:
"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."
let's use, πr + 2r
Diameter: 52
Radius: 26 (RAdius is half of the diameter)
πr + 2r (plug in)
pi x 26 + 2(26)
pi x 26 + 52
= 133.681 cm
or
= 52.63
A student claims that 3√80 is in the simplest radical form. Which statement is true?
A. The claim is correct because 80 is not divisible by three.
B. The claim is correct because 80 is not a perfect cube.
C. The claim is incorrect because 80 has a factor of 4.
D. The claim is incorrect because 80 has a factor of 8.
Don't put a link as the answer.
Answer:
C)
Step-by-step explanation:
3[tex]\sqrt{80}[/tex] = 3 · [tex]\sqrt{4}[/tex]· [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to 12[tex]\sqrt{5}[/tex]
Prove that sin^4x + cos^4x= sinxcosx
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
[tex]sin^4(x) + cos^4(x)[/tex]
We can rewrite this as:
[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]
Now we can add and subtract cos^2(x)*sin^2(x) to get:
[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]
We can complete squares to get:
[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]
and we know that:
cos^2(x) + sin^2(x) = 1
then:
[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
[tex]1 - \frac{sin^2(2*x)}{2}[/tex]
Then the simplification is:
[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]
How many lines of symmetry does the figure below have?
C
Step-by-step explanation:
I got 4 lines of symmetry going horizontal and vertical, and two diagonal
HELP 25 POINTS +BRAINIEST The weight of a substance measures 3 × 10^-3. grams. Express this weight in standard notation.
Answer:
Scientific notation is a way of writing very large and very small numbers.
A number in scientific notation has the form
N
×
10
a
, where
N
is a number between 1 and 10, and
a
is a positive or negative integer.
To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (
N
) and then record the exponent (
a
) as the number of places the decimal point was moved.
If you move the decimal to the right, the exponent is negative.
Express
0.000 000 03 g
in scientific notation.
Step 1. Move the decimal place to the right to create a new number between 1 and 10.
This gives
N
=
3
.
Step 2. Count the number of times you moved the decimal.
You moved the decimal 8 places to the right.
That means the exponent
a
=
-8
.
Step 3. Write the number in scientific notation.
0.000 000 03 g
=
3
×
10
-8
l
g
Step-by-step explanation:
Plz I need to know this
Answer:
triangular prism
Step-by-step explanation:
4 1/8 take away 1 1/2 mixed numbers
Answer:
21/8 or 2 3/8
Step-by-step explanation:
33/8 - 3/2
33/8 - 12/8=21/8
hope it helps:)
A cylinder has a volume of 550 cubic feet. If the height of the cylinder is 15 feet, what is the radius of the cylinder? Use 3.14 for π. Round to the nearest hundredth
Answer:
r = 3.42
Step-by-step explanation:
the equation for volume is V = pi r^2 h
550 = 3.14 r^2 15
36 2/3 = 3.14 r ^2
11.6772824 = r^2
3.41720389 = r
r = 3.42
Answer:
3.42
Step-by-step explanation:
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
Eight beads are strung in a necklace with a clasp, how many ways
can the beads be arranged?
Answer:
Number of total arrangement of beads = 2,520
Step-by-step explanation:
Given:
Number of beads in necklace = 8 beads
Find:
Number of total arrangement of beads
Computation:
Changing beads is a cyclic permutation,
So,
Formula to find number of total arrangement in cyclic permutation
(n-1)!/2 , where n = number of item
So,
(n-1)!/2
Number of total arrangement of beads = (8-1)!/2
Number of total arrangement of beads = (7)!/2
Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2
Number of total arrangement of beads = 5,040 / 2
Number of total arrangement of beads = 2,520
A tablet sales associate makes $84 each day that she works and makes approximately $33 in commission for each tablet that she sells. If she wants to make at least $348 in one day, at least how many tablets does she need to sell?
Answer:
8 tablets
Step-by-step explanation:
t = # tablets she must sell
348 = 33t + 84
264 = 33t
t = 8
The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.
Let's denote the number of tablets sold as "x."
Given:
Earnings per day (base pay) = $84
Commission per tablet sold = $33
Desired earnings for the day = $348
The total earnings for the day can be calculated as follows:
Total earnings = Base pay + (Commission per tablet * Number of tablets sold)
Total earnings ≥ Desired earnings
Setting up the inequality:
$84 + ($33 * x) ≥ $348
Simplifying the inequality:
$84 + $33x ≥ $348
Now, let's solve for x:
$33x ≥ $348 - $84
$33x ≥ $264
Dividing both sides of the inequality by $33 (the coefficient of x):
x ≥ $264 / $33
x ≥ 8
Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
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Tiffany catches a fish thats weighs 0.7 lbs. Frank catches a fish that weighs 0.6 times as much as tiffanys fish. How many pounds does Franks fish weigh? Explain how you got your answer using the grid.
Answer:
Franks fish weighs .42 lbs
Step-by-step explanation:
.7 * .6 = .42
Please help ASAP 50 pts!
Given Circle D, if AB = 6 units, find the length of AC.
Answer:
here ∆ABDcongruent to ∆CBD
AB=BC
now
AC=AB+BC=6+6=12units
length of AC=12 units
Help if you can -
8 commercials in 15 minutes
Find Unit Rate
Plzz show work!
Also, dont add any type of links
Thanks!! :D
Answer:
1.875 commercials a minute
Step-by-step explanation: