Answer:
start fraction, 5, dot, x, start superscript, 3, end superscript, divided by, x, start superscript, 2, end superscript, end fraction
for
x=2x=2
x=2
x, equals, 2
The given expression 5, start superscript, 12, end superscript, dot, 5, start superscript, 8, end superscript equivalent to the 5 start superscript 97 end superscript.
We have given that
[tex]5^{12}\cdot5^{85}[/tex]
We have to find the equivalent expression
Here we use the exponent rule:
Which exponent rule we use here?[tex]a^b\cdot a^c=a^{b+c}\\[/tex]
here base is the same of both the number
If base are same then we can add the exponent
Therefore,In a given expression base is 5 therefore the
[tex]5^{12}\cdot5^{85}=5^{12+25}\\5^{12}\cdot5^{85}=5^{97}[/tex]
Therefore the given expression [tex]5^{12}\cdot5^{85}[/tex]equivalent to the [tex]5^{97}[/tex].
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3
1
4
B=
1
2
A=
5
3
A. AB =
11
29
4
11
B. AB=
2
12
3
10
a
C. AB =
6
15
1
8
D. AB =
17
27
4
14
Answer:
A
Step-by-step explanation:
Sum the product of the components in the first row of A with the corresponding components of the first column in B
Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is
AB
= [tex]\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right][/tex] → A
Estimate 121.45 ÷ 10.87
Answer:
11
Step-by-step explanation:
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9cm, and the base has a radius of 4cm. How much water is needed to fill 150 cups? Use 3.14 for π, and do not round your answer.
Answer:
22608cm³
Step-by-step explanation:
Step 1
We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.
Cup is shaped as a cone
The volume of a cone = πr²h/3
Where
r = radius = 4cm
h = height = 9cm
π = 3.14
Hence,
Volume of the cone (cup) =
3.14 × 4² × 9/3
= 150.72 cm³
Step 1
How much water is needed to fill 150 cups?
1 cup = 150.72 cm³ of water
150 cups = x
Cross Multiply
x = 150 × 150.72 cm³
x = 22608 cm³ of water
Therefore, 22608cm³ of water is needed to fill 150 cups
Help i need to find this,
Answer:
Adjacent
Step-by-step explanation:
They are next to each other ^^
I need answer Immediately!!!!!!!!!
caculate the value of this expression 60-(-80)
pls help me solve both
Answer:
The first one is 140 and the second one is -2.6
Step-by-step explanation:
Your welcome !
just use a calculator lol
Answer:
19 is D
20 is A
Step-by-step explanation:
19. 60+80=140
20. 2.3-4.9=-2.6
PLZ HELP ME
What is the quadratic regression equation for the data set?
yˆ=−0.175x2−3.786x+121.119
yˆ=−0.175x2+3.786x−121.119
yˆ=−0.175x2+3.786x+121.119
yˆ=−0.175x2−3.786x−121.119
x y
6 100
3 110
10 50
3 90
5 120
15 30
9 70
Answer:yˆ=−0.175x2−3.786x+121.119
look at picture
Step-by-step explanation:
The quadratic regression equation for the data set is:
y^ = -0.175x²-3.786x+121.119
What is Quadratic Regression Equation?Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.
According to the given problem,
Let us choose any value of x,
x = 10
For this value of x we can see that the respective value of y= 50
Substituting the value of x in the equations to see which equation satisfies the value of y as 50.
Substituting the value of x in the equation:
y^ = -0.175x²-3.786x+121.119
y^ = 50
Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.
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Evaluate if m=10: -2m + 6
Answer:
-14
Step-by-step explanation:
-2 x 10 = -20
-20 + 6 = 14
Therefore -2m + 6 = 14
What is the value/expression for the side length highlighted in green.
Answer:
15
Step-by-step explanation:
The parallel lines divide the transversals proportionally.
The green length = 24 - c , then
[tex]\frac{24-c}{20}[/tex] = [tex]\frac{c}{12}[/tex] ( cross- multiply )
12(24 - c) = 20c ← distribute left side
288 - 12c = 20c ( add 12c to both sides )
288 = 32c ( divide both sides by 32 )
9 = c
Then
green length = 24 - 9 = 15
Find two integers whose sum is 20 and product Is 100
Answer: 10
Step-by-step explanation:
10+10 = 20
10 x 10 = 100
mi would do another but i supposed to be in class :P
The two Integers are [tex]10,10.[/tex]
What is Integer ?An Integer number that can be written without a fractional component.
We have,
Sum of two Integers [tex]=20[/tex]
Product of two Integers [tex]=100[/tex]
Now,
Let,
One integer [tex]=x[/tex]
Another integer [tex]=y[/tex]
So,
According to the question,
[tex]x+y= 20[/tex] [tex].....(i)[/tex]
[tex]x*y=100[/tex]
⇒ [tex]x=\frac{100}{y}[/tex] [tex].....(ii)[/tex]
Now,
Putting value of x in equation (i),
We get,
[tex]\frac{100}{y}+y= 20[/tex]
[tex]100+y^2=20y[/tex]
[tex]y^2-20y+100=0[/tex]
Using middle term split method,
[tex]y^2-10y-10y+100=0[/tex]
[tex]y(y-10)-10(y-10)=0[/tex]
[tex](y-10) (y-10)=0[/tex]
We get,
[tex](y-10)=0[/tex] and [tex](y-10)=0[/tex]
So, [tex]y=10[/tex]
Now, putting value of y in in equation (i),
[tex]x+10=20[/tex]
[tex]x=10[/tex]
So, two integers are [tex]10,10.[/tex]
Hence, we can say that the two Integers are [tex]10,10.[/tex]
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Find the equation of the line that is perpendicular to y = - 1/3 x + 2 and passes though the point (-5,2)
Answer:
y - 2 = 3(x + 5)
Step-by-step explanation:
The given equation has slope -1/3. Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.
Use the point-slope formula y - k = m(x - h):
y - 2 = 3(x + 5)
Figure WXYZ is a square. Three of the vertices are at X(1, 3), Y(1, 2),
and Z( 4, 2). What is the location of W?
Answer:
W(4,3)
Step-by-step explanation:
how is that a square?
a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid of density 1.2g/cm3
Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g
What is the length of the base of a triangle with a height of 7 and and area of 7?
Answer:
base = 2
Step-by-step explanation:
area = 1/2 base * height
7 = 1/2b * 7
7 = 7b/2
cross multiply
14 = 7b
divide both sides by 7
b = 2
Answer:
2
Step-by-step explanation:
So the formula for area of a right triangle is A=B*L*1/2
Variables to remember:
H=height
B=base
A=area
We know that 7=7*B* 1/2. Since they say area is 7, height is 7.
So, we know that L has to equal 1 to make 7*B=7
However, we must remember that this is *1/2. So to make area=7, we must get 14. To get 14, we must have 7*2*1/2, which would equal 14*1/2, equaling 7.
So the answer for B is:
2
Hope this helps! ;)
Find the distance between the parallel lines. y=2x+3 and y=2x-1
Answer:
The answer is 1.789
ASAP HELP PLS ASAP ASAP
Answer:
120cm2
Step-by-step explanation:
6 x 8 = 48cm2
8 x 9 = 72cm2
48 + 72 = 120cm2
Answer:
120 m^2
Step-by-step explanation:
The box on the left is 6m x 8m, thus the area would be 48 m^2.
The box on the right is 9m x 8m, thus the area would be 72 m^2.
Adding both areas would give you the total area of 120 m^2.
What is the slope of the line y = 6x + 3?
3
-6
6
-3
Answer:
the answer is 6
Step-by-step explanation:
slope = m
y = mx + c
m = 6
Sasha has a rectangular garden 8 m by 10 m. The garden has a path surrounding it which is 2 m wide. What is the total area of the garden and pathway? A. 168 m^2 B. 120 m^2 C. 116 m^2 D. 96 m^2 E. 84 m^2
Answer:
b
Step-by-step explanation:
Area of a rectangle = length x width
length = 8 + 2 = 10
width = 10 + 2 = 12
10 x 12 = 120
Four-fifths of a math class is made up of female students. What is the
ratio of male students to female students?
I am answering this so the other answer can get brainliest since they were the ones who gave you the answer :)
PLEASE HELP, I NEED THIS QUICK!
Explain why (equation below) has no real solution.
[tex] \sqrt{2x + 1} + 4 = - 1[/tex]
Answer:
Step-by-step explanation:
becasue you can square a negative number
EASY MATH PLEASE HELP!
EXPLANATION REQUIRED
NO LINKS PLEASE
I WILL GIVE BRAINLIEST!
121057003
Sphere
Find the area of
radius tem
Area - 300cm-
30cm ainda
Answer:
Step-by-step explanation:
Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula
C
=
D
×
π
where
D
is the length of the diameter of the circle and
π
≈
3.14
.
Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula
C
=
2
×
r
×
π
where
r
is the length of the radius of the circle and
π
≈
3.14
.
Area of Circle Formula: The area of a circle is determined by the following formula
A
=
r
×
r
×
π
=
r
2
×
π
What value of y makes this equation true? 8(y - 9) = 24
Answer:
12
Step-by-step explanation:
We know that 8x3=24, so we have to find what would equal 3 in the parenthesis.
12-9=3
The correct equation would be 8 (12-9) =24, or to be very simple, 8x3=24.
So y=12.
Can someone plz help me plz I beg u
Answer:
12.5663
Step-by-step explanation:
On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temperature over time?
Answer:
Step-by-step explanation:
t = 2h-8
since you didn't put in the equations, just put in what ever variable is where t is at and any variable other than t for the h :)
Answer:
Please put equations, so I can able to give you ans
Pls help !! Will give brainliest
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
help me dont understand and know files pls
Answer:
Equation D, y = 1.75x + 6.25
Step-by-step explanation:
We know that the common ratio is 1.75 which means that the data would go up by $1.75 each time and then an additional of 6.25 is also there. Hence, 1.75 would be the slope and 6.25 would be the intercept of the equation.
Hope this helps!
Is -6.5555 a rational or irrational number?
Answer:
Rational
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Rational.
Step-by-step explanation:
Rational numbers are the numbers that can be expressed in the form of a ratio.
i need help with this problem!!
Answer:
box 1 = 4
box 2 = 40%
table box 1 = 75%
table box 2 = 25%
Step-by-step explanation:
hope this helps :D
DUE TOMORROW
3. A math teacher asked 60 randomly
selected seventh-grade students
whether they are left-handed or
right-handed. The table below
shows the results of this survey.
Left- or Right-Handed?
Hand Frequency
Left
18
Right
42
A school has a total of 280 seventh-
grade students. Based on the results
shown in the table above, how many
of those seventh-grade students
would you expect to be left-handed?
A 60
B 72
C 84
D 120
Answer:
c. 84 if wrong its 72 because im not sure if its esimated but if not its right.
Step-by-step explanation:
42x4.5=189
18x4.5=81
=270
84 of those seventh-grade students would you expect to be left-handed.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, have,
from 60 students ,
left handed = 18
now, from 280 students,
left handed = 280/60*18
=84
hence, 84 of those seventh-grade students would you expect to be left-handed.
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