The prime factorization of 72 using exponential notation is 2³ x 3².
What is Prime Factorization?Prime factorization is a process of writing all numbers as a product of primes.
Given:
Prime factorization is representing a number in form of products of its primes.
Consider the given number 72
72 = 2 x 2 x 2 x 3 x 3
So, 72 can be written as 2 × 2 x 2 × 3 × 3.
Thus, exponential notation it can be written as 2³ x 3².
Also, Simplifying 12 /16 as
= 12/16
= 3/4
and, the equivalent fraction whose denominator is 32.
Then, 3/4 = x/32
4x = 96
x = 24
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20
Answer: B
Step-by-step explanation:
How many edges does the figure have?
3
4
5
8
Answer:
4 points
Step-by-step explanation:
if you look its only 4, 1 on top, and 3 around.
please help NO LINKS
Answer:
(5,-6)
Step-by-step explanation:
This is where the two lines meet. I hope this helps ◕ ◡ ◕
Graph 5/3 on the number line.
Answer:
5/3 is the same thing as 1 and 2/3 so just put it on the second line after the number 1 and trust me I’m so sorry if I am wrong
Step-by-step explanation:
find the area of right angle triangle whose base 9, Height 8?
Answer:38cm2
Step-by-step explanation:
The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .
Base is 9 cm.
8 centimeters tall.
Triangle area equals 1/2 x base x height
Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.
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For every 15 situps Ryan does, he does 10 push-ups. Create a table of equivalent ratios that show the relationship between the number of sit-ups and the number of push-ups Ryan does.
Answer:
15/10, 30/20, 60/40, 120/80, 240/160, 480/320
Step-by-step explanation:
The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.
The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.
How to solve this problem?
The geometry object known as a line extends on both sides and is defined as an object with zero width. Any line without curves is said to be straight.
What is a straight line called?An object with zero width that extends on all sides is referred to as a line in geometry. Simply put, a straight line is an uncurved line. As a result, a straight line is one without any curves that stretches to infinity on both sides.
A line is a perfectly straight, one-dimensional shape that is endlessly long and thin in both directions. A line may be referred to as a straight line or, more formally, a right line (Casey 1893), to stress that there are no "wiggles" throughout its entire length.
y=mx+c
Definition. Y=mx+c is the formula for a straight line. m is the gradient and c is the height, commonly known as the y-intercept, at where the line crosses the y-axis in the equation y = m x + c.
[tex](b) $\because$ perpendicular makes an angle of $60^{\circ}$ with the line $x+y=0$.$\therefore$ the perpendicular makes an angle of $15^{\circ}$ or $75^{\circ}$ with $x$-axis.[/tex]
[tex]Hence, the equation of line will be $x \cos 75^{\circ}+y \sin 75^{\circ}=4$or $x \cos 15^{\circ}+y \sin 15^{\circ}=4$$(\sqrt{3}-1) x+(\sqrt{3}+1) y=8 \sqrt{2}$or $\quad(\sqrt{3}+1) x+(\sqrt{3}-1) y=8 \sqrt{2}$[/tex]
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Help pleaseeeeeeeeeeee I’ll mark brainlist
Find the volume of a cylinder with diameter 8 and height 10
Find the volume of a cylinder with radius 7 and height 4
Find the volume of a cone with radius 18 and height 6
Find the volume of a cone with diamter 12 and height 8
Answer:
The volume of a cylinder with diameter 8 and height 10 is 502.65.
The volume of a cylinder with radius 7 and height 4 is 615.75.
The volume of a cone with radius 18 and height 6 is 2035.75.
The volume of a cone with diameter 12 and height 8 is 1206.37.
ln 4 - ln x = 2
Solve for x
Show all steps
Answer:
To solve this equation, we first need to isolate the ln term on one side of the equation. To do this, we can subtract ln 4 from both sides to get:
ln 4 - ln x - ln 4 = 2 - ln 4
This simplifies to:
-ln x = 2 - ln 4
Next, we can add ln 4 to both sides to get:
-ln x + ln 4 = 2
This simplifies to:
ln 4 - ln x = 2
Now, we can apply the identity ln a - ln b = ln(a/b) to both sides of the equation to get:
ln(4/x) = 2
To solve for x, we can apply the inverse logarithm function (exp) to both sides:
4/x = exp(2)
This simplifies to:
x = 4/exp(2)
Finally, we can evaluate this to get the value of x:
x = 4/exp(2) = 4/7.38905609893065
So the solution is x = 4/7.38905609893065.
Step-by-step explanation:
A mother is now 2 and ahalf times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.
Given:
A mother is now 2 and a half times old as her daughter Mary.
Four years ago the ratio of their ages was 3:1.
To find:
The present age of the mother.
Solution:
Let x be the present age Mary's mother and y be the present age of Mary.
A mother is now 2 and a half times old as her daughter Mary. So,
[tex]x=2\dfrac{1}{2}y[/tex]
[tex]\dfrac{x}{y}=\dfrac{2(2)+1}{2}[/tex]
[tex]\dfrac{x}{y}=\dfrac{5}{2}[/tex]
It means the ratio of their present age is 5:2. Let 5z be the present age of Mary's mother and 2z be the present age of Mary.
Four years ago the ratio of their ages was 3:1.
[tex]\dfrac{5z-4}{2z-4}=\dfrac{3}{1}[/tex]
[tex]1(5z-4)=3(2z-4)[/tex]
[tex]5z-4=6z-12[/tex]
[tex]-4+12=6z-5z[/tex]
[tex]8=z[/tex]
Now, the present age of the mother is:
[tex]5z=5(8)[/tex]
[tex]5z=40[/tex]
Therefore, the present age of the mother is 40 years.
Two methods were used to teach a high school algebra course. A sample of 75 scores was selected for method 1, and a sample of 60 scores was selected for method 2. The results are:
Method 1 Method 2
Sample mean 85 83
Sample s.d. 3 2
Required:
Test whether method 1 was more successful than method 2 at the 1% level.
Answer:
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
Step-by-step explanation:
Applying two sample t test as both methods are independent
The null and alternate hypotheses are
H0: u1= u2 against the claim Ha: u1> u2
The significance level is 0.01 and the critical region is t > t∝( n-1)
The degrees of freedom is calculated using the formula
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
This formula is used when the the variances are unequal.
So as we do not know anything about variances we assume they are unequal.
The calculated degrees of freedom is 132
The critical region is t > 2.355 for one tailed test.
The test statistic is
t= x1`- x2`/ √s1²/n1 + s2²/n2
t= 85-83/ √3²/75+ 2²/60
t= 2/ 0.432
t= 4.629
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
How many times less
is 0.054 than 54?
Answer: 1000 times less
Step-by-step explanation: multiply 0.054x1000
Answer:
1000 times
Step-by-step explanation:
To find how many times less 0.054 is than 54,
we can divide 54 by 0.054.
This gives us 54/0.054 = 1000
This means that 0.054 is 1000 times less than 54.
Andie is making bracelets. She will put 8 charms on each bracelet. There are 48 charms. How many bracelets can she make?
6 charms
6 bracelets
8 charms
6 bracelets
8 bracelets
Answer:
I'm pretty sure it would be 48 divided by 8 which would be 6
Step-by-step explanation:
answer t h i s. p l e a s e
Explain what the ratio 15:73 represents
Therefore , the solution of the given problem of ratio comes out to be 15:73 ratio simplified is 15/73.
What is ratio?A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).
Here,
To simplify the ratio 15:73, we find the greatest common divisor of 15 and 73, and then we divide 15 and 73 by the greatest common divisor.
The greatest common divisor that you can use to simplify 15:73 is 1. Which means the answer to ratio 15:73 simplified is:
Here is the math to illustrate better:
15/1 = 15 and 73/1 = 73
Thus, 15:73 ratio simplified is 15/73
Therefore , the solution of the given problem of ratio comes out to be 15:73 ratio simplified is 15/73.
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PLEASEEEE HELP MEE WITH THIS EQUATION
Answer:
Basically, LON would be 8z + 112 + 6z - 17
So, our equation will look like this
8z + 112 + 6z - 17 = -1z + 65
Subtract the 6z from the 8z
2z + 112 - 17 = -1z + 65
112 - 17 = 95
2z + 95 = -1z + 65
add the 1z
3z + 95 = 65
subtract the 95
-30
3z = -30
The answer is -10 :)
Step-by-step explanation:
Answer:
LON=75
Step-by-step explanation:
LON= LOM=NOM
-1z+65=8z+112-6z-17
-1z+65=2z+95
3z=-30
z=-10
LON= -1z+65
= -1(-10)+65
= 10+65
LON= 75
plz helpppppppppppppppppppppppppppppppppppp quick
Answer:
B. 8
Step-by-step explanation:
6, 15, 7, 5, 11, 11, 8
5, 6, 7, 8, 11, 11, 15
The middle number is 8.
Answer:
8
Step-by-step explanation:
2 Images Below, PLEASE HELP! If I wanna go to Disneyland (I do) I gotta get this in! I MARK BRAINLIEST IF U R RIGHT!!!
Answer:
ITS B
Step-by-step explanation:
I hope im right srry if im not i hope you to disney and stay safe
The sum of a number and 9
Answer: look it up :)
Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.
Answer: x+9 or n+9
Step-by-step explanation: sum refers to addition you can put x for "a number" thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n
Determine the value of x that make the equation true . 5 (x + 2) = 7 (4 - x)
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]5(x + 2) = 7(4 - x) \\ 5x + 10 = 28 - 7x \\ 5x + 7x = 28 - 10 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
sam and bethan share £54 in the ration 5:4
Answer:
Let the common ratio b x thus the part becomes=5x and 4x respectivelyThus,ATQ5x+4x= 549x=54x= 6Sam will get is £30 (putting the value of x)and Bethan will get £24Find the volume of the cone. Round your answer to the nearest tenth.
27 in.
16 in.
it is 17371.8 I put it into a calculator and got it haha
Can someone please help asap need work to
In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so RT= 10
5 1/10-1 7/10=
A.3 3/5
B.6 4/5
C.3 2/5
D. 3 3/10
Five snails are having a race. The snail's speeds are given in the table. Which two snails are going the same rate of speed?
Answer:
2 1/5 for alice
4 3/14 for Bert
5 for Carl
5 for Eva
5 1/2 for Dennis
Carl and Eva
Step-by-step explanation:
brainliest please
The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.
Answer:
Length = 10 Width = 5Step-by-step explanation:
Let's assume that,
→ Length = 2x
→ Width = x
→ Perimeter = 30
Perimeter of rectangle formula,
→ P = 2(L + W)
Now the value of x will be,
→ P = 2(L + W)
→ 2(2x + x) = 30
→ 2 × 3x = 30
→ 6x = 30
→ x = 30/6
→ [ x = 5 ]
Then required dimensions are,
→ Length = 2x = 2 × 5 = 10
→ Width = x = 5
Hence, these are the dimensions.
Length = 10
width = 5
Given-
Perimeter =30
l=2b........................................................ i
so
P =2(l+b)
here
30 = 2(2b +b)... ... .............. as l=2b from i
30 = 2*3b
30 = 6b
b= 5
which implies l= 2*5 --->10............................................ from i
so
Length = 10
width = 5
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Find the area of the image.
help pls
Answer:
[tex]A) 16.56 ~in^{2}[/tex]
Step-by-step explanation:
[tex]Area=\frac{a+b (h)}{2}[/tex]
[tex]\frac{6.1+3.1(3.6)}{2}[/tex]
= [tex]\frac{9.2(3.6)}{2}[/tex]
= [tex]4.6(3.6)[/tex]
= [tex]A=16.56[/tex]
----------------------
hope it helps...
have a great day!!
Answer:
A) 16.56
Step-by-step explanation:
hope it helps...
The radius of a circle is 7 centimeters. What is the circle's area?
use 3.14 for pi
Answer:
153.86 cm^2
or
154 cm^2 (if you round it up)
Things to keep in mind:
R - Radius
A - Area
Pi = 3.14
Step-by-step explanation:
A = Pi * R^2 = 3.14 * 7^2 = 3.14 * 49 = 153.86 (cm^2)
The solution is :
153.86 cm^2 or 154 cm^2 (if you round it up), is the circle's area.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
Things to keep in mind:
R - Radius
A - Area
Pi = 3.14
now, given that,
The radius of a circle is 7 centimeters.
i,e. R = 7
so, we get,
A = Pi * R^2
= 3.14 * 7^2
= 3.14 * 49
= 153.86 (cm^2)
Hence, 153.86 cm^2 or 154 cm^2 (if you round it up), is the circle's area.
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5 divided by G1 equals
Answer:
5/g
Step-by-step explanation:
HELP ASAP!!! I’m very confused and need help. I WILL MARK BRAINLIST!!!!
Step-by-step explanation:
In ∆PQR and ∆TSU
[tex]\because\begin{cases}PQ\approx TS \\ QR\approx TU \angle \\ Q\approx \angle T\end{cases}[/tex]
[tex]\therefore{∆PQR\approx ∆TSU(\because SAS)}[/tex]
And
<Q is greater than <TSo SU will be less than PR(22cm)