Answer:
100³ or 1000000 or 10^6
Step-by-step explanation:
(4³)(5^6)
(20³)(5³)
(20×5)³
100³
Answer:
I think that the answer would be 1000000
6x10-4 in standard notation
Answer:
The Answer is 2(3x^10-2) Hope this helps :)
-by-step explanation:
The midpoint of AB is M(2, -1). If the coordinates of A are (1,6), what are the
coordinates of B?
Answer:
work is attached and shown
The coordinate of point B will be (3, -8) for the given line segment.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given the line segment, AB
If the M(2, -1) is the midpoint of A(1,6) and B(x,y)
Then,
(1 + x)/2 = 2 ⇒ x = 3
(6 + y)/2 = -1 ⇒ y = -8
So B(3, -8).
Hence "The coordinate of point B will be (3, -8) for the given line segment".
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For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people
Five times the sum of a number and 6 is 48
Answer:
3.6
Step-by-step explanation:
Step 1: Find out what 48 ÷ 5 is
9.6
Step 2: Subtract 6 from 9.6
3.6
What’s #10 I need it worked out not just the answer.
Evaluate each expression.
6! =
3! - 2! =
6!/3!=
Answer:
I hope it will help you :)
Answer:
6! = 720
3! - 2! = 12
6!/3!= 120
Step-by-step explanation:
just finished the assignment.
Is -4 greater than -4.25?
Answer:
Yes
Step-by-step explanation:
The smaller the negative number, the greater it is. i.e., -230 < -9.
Answer:
yes
Step-by-step explanation:
it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative
Evaluate the function 7(x) = 2x+8 when x = 6.
O 96
O 28
O 20
O 16
Answer:
20
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 2(6) + 8 = 12 + 8 = 20
Certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil?
Answer:
Step-by-step explanation:
Here is a picture of the answer, since I couldn't put into words!
The mass of 15 liters of oil is 13.65 kg.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
What is the density?Density is the ratio of the mass of the body to the volume of the body.
Density = Mass / Volume
Given that oil has a density of 0.91 grams per milliliter
To determines the mass, in kilograms, of 15 liters of this oil
Rearranging the equation,
Mass = Density × Volume
∵ 15 liters = 15000 milliliters (ml)
So, 0.91g/ml x 15000ml = 13650g
∵ 1 kilogram = 1000grams
⇒ 13650g / 1000g/kg
⇒ 13.65kg
Thus, the mass of 15 liters of oil is 13.65kg.
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Combining Like Terms
Equation: 5x + 7y -2x + 3y
So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.
i would appreciate if you showed work so i know how you did it!
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
0.2- 4/10 - 1.625=???
Answer:
-1.825
Step-by-step explanation:
Just subtract!
Please help lol
Answer options:
A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)
Which of the following expressions is equivalent to (x + 5)2?
O A. (x + 5)(x + 5) + 10(x + 5)
OB. (x - 5)(x + 5) + 10(x + 5)
OC. (x + 5)(x + 5) + 10(x - 5)
OD. (x - 5)(x - 5) + 10(x - 5)
Please someone help me this texts is so important and I need it done by the end of today!
Answer:
B
Step-by-step explanation:
Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.
Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)
Solve the first piece (x-5)(x+5) by doing something like FOIL.
x^2-25
Do the second piece
10x+50
When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).
4x²-9y²-6x-9y Factorize
Answer:
Step-by-step explanation:
What is the solution to this equation?
10 - 3x + 8x = 25
O A. x=-3
O B. x = 5
O c. x = -5
D. x = 3
Answer:
x=3
Step-by-step explanation:
10-3x+8x=25
-10 -10
-3x+8x= 15
5x=15
5x/5=15/5
x=3
Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?
1) 1:3
2) 3:4
3) 4:3
4) 7:3
Answer: 4:3
Step-by-step explanation: Because there are 4 game app for every 3 educational app.
When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?
Step-by-step explanation:
Given
X+ 2 = 0
X = -2
on putting in polynomial
-8a +2b= 0
- 8a = 2b
b = -4a
Now
when divided by x - 1 give remainder -15
so
x - 1 = -15
x = -14
on putting in polynomial
-2744a + 198 + 14b - 4 = -14
-2744a + 56a = - 208
-2688a = -208
a = 168/13
Now
b = 672/13
Help needed ASAP will give BRAINLIEST
Answer:
177.2 i think
Step-by-step explanation:
0.001429 in scientific notation
Answer:
1.429 × 10^-3
Step-by-step explanation:
since it's below 1, you're moving the decimal to the right, which makes the 3 negative.
Complete the following statement 6(30 – 3) =
Answer:
162
Step-by-step explanation:
30-3 = 27
6(27) = 162
50 points PLSS HELP MEE!!!! What is the value of x in the equation 5x+3 - 4x? -3
- 17
3
Answer:
-3Step-by-step explanation:
I believe it is
5x+3 = 4xAdding -4x - 3 to both sides
5x +3 - 4x - 3 = 4x - 4x - 3Simplifying
x = - 3Answer is - 3
Answer:
x + 3
Step-by-step explanation:
5x + 3 - 4x
(5x - 4x) + 3
x + 3
Best of Luck!
are my answers correct if not can you explain why please?
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ B + C = π - A
→ C + A = π - B
→ C = π - (B + C)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use the Sum/Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B
Use the Double Angle Identity: sin 2A = 2 sin A · cos A
Use the Cofunction Identity: cos (π/2 - A) = sin A
Proof LHS → Middle:
[tex]\text{LHS:}\qquad \qquad \cos \bigg(\dfrac{A}{2}\bigg)+\cos \bigg(\dfrac{B}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Sum to Product:}\qquad 2\cos \bigg(\dfrac{\frac{A}{2}+\frac{B}{2}}{2}\bigg)\cdot \cos \bigg(\dfrac{\frac{A}{2}-\frac{B}{2}}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Given:}\qquad \quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi -(A+B)}{2}\bigg)[/tex]
[tex]\text{Sum/Difference:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{2(A+B)}{2(2)}\bigg)\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+2\sin \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)[/tex]
[tex]\text{Factor:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{4}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi}{2}-\dfrac{A+B}{4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{2\pi-(A+B)}{4}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[2 \cos \bigg(\dfrac{2\pi-2B}{2\cdot 4}\bigg)\cdot \cos \bigg(\dfrac{2A-2\pi}{2\cdot 4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)[/tex]
[tex]\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{\pi -C}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)[/tex]
LHS = Middle [tex]\checkmark[/tex]
Proof Middle → RHS:
[tex]\text{Middle:}\qquad 4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)\\\\\\\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)[/tex]
Middle = RHS [tex]\checkmark[/tex]
Pls help me with this question
Evaluate the expression for v = 12.
Write your answer as a decimal or whole number.
–10.9 + 4v =
Answer:
1.
v = 12
-10.9 + 4v
-10.9 + 4(12)
-10.9 + 48
= 37.1
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month, What will be the change in Jennys total allowance? A $7.20 B $5.40 C -$6.40 D -$7.20
Answer:
D -$7.20
Step-by-step explanation:
If she takes (substance) $2.40 every times she forgets to do a chores you have to substance but first you have to multiply because she forgets 3 times 2.40 × 3 is 7.20but since she taking it away it would be negativeso your answer is -$7.20
I hope this helps
$7.20 will be Jennys total allowance.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.
If she forgets three times in a month.
Thus, Jennys total allowance will be
=2.40 x 3
=$7.20
Hence, $7.20 will be Jennys total allowance.
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a -42+(-17)
b 8-(-9)
c 8(-9)
D
E
F
G
Answer:
.A -42+(-17)
Step-by-step explanation:
h(x)= x^2 - x g(x)= 2x-2 Find (h•g)(x)
Answer:
Step-by-step explanation:
(x^2 - x)(2x - 2)
2x^3 - 2x^2 - 2x^2 + 2x
2x^3 - 4x^2 + 2x
Solve the equation.
2 ( 4z - 1) = 3(z+2)
Z=
Answer:
[tex]z = \frac{8}{5}[/tex]
Step-by-step explanation:
Calculate for the value of [tex]z[/tex] :
[tex]2(4z - 1) = 3(z + 2)[/tex]
-Use Distributive Property on both left and right:
[tex]2(4z - 1) = 3(z + 2)[/tex]
[tex]8z - 2 = 3z + 6[/tex]
-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :
[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]
[tex]5z - 2 = 6[/tex]
-Add [tex]2[/tex] to both sides:
[tex]5z - 2 + 2 = 6 + 2[/tex]
[tex]5z = 8[/tex]
-Take [tex]5z[/tex] and divide on both sides:
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
[tex]z = \frac{8}{5}[/tex]
Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].
The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
The given equation is 2( 4z - 1) = 3(z+2).
To solve the given equation means we should determine the value of the variable z.
To solve this, we will first clear the brackets
[tex]2(4z - 1) = 3(z+2)[/tex]
Clearing the brackets
[tex]8z - 2 = 3z + 6[/tex]
Now, collect like terms
[tex]8z - 3z = 6 + 2[/tex]
Then,
[tex]5z = 8[/tex]
Now divide both sides by 5
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
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