[tex] \frac{ {84a}^{4} }{ - 42} [/tex]
[tex]-2 {a}^{4} [/tex]
Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)
Answer:
[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]
Step-by-step explanation:
The standard form of a complex number:
[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]
[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]
What is the slope of the line that passes through the points El 1, 4) and F(2, 6)?
O-3/2
O 2/3
O 3/2
Answer:
2/3
Step-by-step explanation:
(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?
Answer:On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.
Step-by-step explanation:
What does ‘b” represent in y=mx+b
Answer:
In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.
Step-by-step explanation:
help plzz i really need this
Answer:
Step-by-step explanation:
You need to multiply the amount of counselors by 8 to find the total amount to find the number of campers.
Answers: 32, 40
Answer:
32 & 40
I hope it will be useful.
Step-by-step explanation:
Look at the sequence. It follows the result to be 1:8
Thus, you have to multiply the numbers by 8 to get the denominators i.e., 4*8 & 5*8
PLEASE HELP 5 MINUTES LEFT!!!!
Answer:
(-3,1),(1,6),(-1,0)
Step-by-step explanation:
A vanilla thickshake is $2 more than a fruit juice. If 3 vanilla thickshakes and 5 fruit juices cost $30, determine their individual prices using simultaneous elimination
Answer:
vanilla thickshake = $5
fruit juice = $3
USING ELIMINATION METHOD
Let the price of vanilla thickshake = x
Let the price of fruit juice = y
Given that a vanilla thickshake is $2 more than a fruit juice.
so
x = 2+y ...... (Equation 1)Given that If 3 vanilla thickshakes and 5 fruit juices cost $30.
3x+5y=30 ...... (Equation 2)So the system of equations
[tex]x = 2+y[/tex]
[tex]3x+5y = 30[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}x-y=2\\ 3x+5y=30\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-y=2\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:3x-3y=6[/tex]
[tex]\begin{bmatrix}3x-3y=6\\ 3x+5y=30\end{bmatrix}[/tex]
so
[tex]3x+5y=30[/tex]
[tex]-[/tex]
[tex]\underline{3x-3y=6}[/tex]
[tex]8y=24[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}3x-3y=6\\ 8y=24\end{bmatrix}[/tex]
solve 8y = 24 for y
[tex]8y=24[/tex]
Divide both sides by 2
[tex]\frac{8y}{8}=\frac{24}{8}[/tex]
[tex]y=3[/tex]
[tex]\mathrm{For\:}3x-3y=6\mathrm{\:plug\:in\:}y=3[/tex]
[tex]3x-3\cdot \:3=6[/tex]
[tex]3x-9=6[/tex]
[tex]3x=15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{15}{3}[/tex]
[tex]x=5[/tex]
Therefore,
The price of fruit juice = y = 3The price of vanilla thickshake = x = 5
2ND METHOD
Step-by-step explanation:
Let the price of fruit juice = xAs a vanilla thickshake is $2 more than a fruit juice.
Thus the price of thickshake vanilla = x+2Given that 3 vanilla thickshakes and 5 fruit juices cost $30.
3(Vanilla thickshakes) + 5(fruit juice) = 30
3(x+2) + 5x = 30
3x+6+5x=30
8x+6=30
8x=30-6
8x=24
x = 3
Thus,
The price of fruit juice = x = $3The price of vanilla thickshake = x+2 = 3+2 = $5Please help with both if you can!
Thank you!
Answer:
15). is done
16).
[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ = \frac{2 - ( - 2)}{ - 3 - 9} \\ = \frac{4}{ - 12} \\ slope = - \frac{1}{3} [/tex]
You want to buy a new bike, and your parents will contribute $32.50 toward the cost of the bike. If the most
expensive bike is $50.00, how much will you have to spend on the bike? Solve the following inequality 50.00 2
32.50 + x and graph its solution.
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
So the symbol 2 means that its greater than or equal to the number.
If 50 + 32.50 is 82.5 than the number is equal to 82.5. (hope this helps)
Use the Pythagorean Theorem to find x
Round to the nearest tenth?
Answer: last option. 9.2
Step-by-step explanation:
The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current monthly rent. Let r represent Cody's current rent. Set up an equation and solve it to find the value of r.
Answer:
[tex]r = 43.35[/tex]
Step-by-step explanation:
Given
[tex]Current\ Rent = r[/tex]
[tex]Increment = 15\%[/tex]
[tex]New\ Rent = \$51[/tex]
Required
Determine the value of r
The value of r can be set up percentage increase formula as follows:
[tex]\%Increment = \frac{New\ Rent - Current\ Rent}{Current\ Rent}[/tex]
Substitute values in the above equation
[tex]15\% = \frac{51 - r}{51}[/tex]
Cross Multiply
[tex]51 - r = 15\% * 51[/tex]
Convert percentage to decimal
[tex]51 - r = 0.15 * 51[/tex]
[tex]51 - r = 7.65[/tex]
And the value of [tex]r\ is\ calculated\ using:[/tex]
[tex]r = 51 -7.65[/tex]
[tex]r = 43.35[/tex]
Hence, Cody's current rent is $43.35 monthly
If a^m=a^n , what can you determine about m & n?
Answer:
m=n
Step-by-step explanation:
i am not 100% sure what the answers would be but it would me m=n
A right triangle has a right exterior angle?
True or False?
A new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG. How many milligrams of the vitamin are in the drink?
Answer:
We conclude that the number of milligrams of the vitamin in the drink will be: 48 mg
Step-by-step explanation:
The amount of certain Vitamin = 40 mg
Given that a new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG.
Thus,
The number of milligrams of the vitamin in the drink:
120% of 40
= [120/100] × [40]
= 1.2 × 40
= 48
Therefore, we conclude that the number of milligrams of the vitamin in the drink will be: 48 mg
If 24% of 400 people watched the news, how many ppl watched?
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
When looking at a graph of a quadratic, how can you tell the solutions are complex numbers?
Answer:
the solutions are where the parabola crosses the x-axis; therefore, if the parabola does not cross the x-axis then the solutions can be considered to be imaginary (for example, the square root of a negative)
Step-by-step explanation:
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y=2x
2x+3y+16
A: 8x=16
B:4x=16
C:5y=16
D:6x=16
What is the slope of the line?
AS SOON AS POSSIBLE PLEASE!!
2 1⁄7 × 3 3⁄4 × 5 1⁄3 =
plz help me :,(
Answer:
42 6/7
Step-by-step explanation:
For me what i usually do is i convert the mixed number into a fraction, which for example:
Example and Explanation: Step 1
so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:
3 3/4:
3 x 4 = 12 + 3 = 15 = 15/4
5 1/3:
5 x 3 = 15 + 1 = 16 = 16/3
Now that they are all fractions we can finally do the multiplication
Multiplying Fractions: Step 2
Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.
In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and 7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..
Reduce: Step 3
This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.
Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,
=3600÷1284÷12=3007
Converting to a mixed number using long division with remainders for 300 ÷ 7.
300÷7=42r6
Therefore:
300/7 = 42 6/7
I am so sorry if i am wrong
Given that f=cd3, f=450 and d =10 what is c?
Answer:
15
Step-by-step explanation:
450=c*10*3 divide by 10
45=c*3 divide by 3
c=15
Answer:
c = 15
Step-by-step explanation:
f = c × d × 3450 = c × 10 × 3 10 × 3 = 30450 = c × 30(Divide both sides by 30 to find c)
4. 450 ÷ 30 = 15
5. 15 = c
Hope this helps. Even if Maths is not my fortè. :)
Consider the problem: After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charge completely? Decide whether each equation can represent the situation.
Answer:
Equation 2
is the answer
Step-by-step explanation:
To calculate the time for a full charge, you would divide the time already charged by the amount of charge:
1/3 / 2/5 = 1/3 x 5/2 = 5/6 of an hour for full charge.
You could use 2 and 4 to find the time.
What is 4/7 - 1/2 I need help
Answer:
1/14
Step-by-step explanation:
Hope this helps!!
Mark brailyest please°°°°°
Answer:
1/14
Step-by-step explanation:
convert 4/7 into 8/14 and 1/2 into 7/14 and then subtract 8/14 and 7/14
Select the correct answer.
Which statement is true about this equation?
3(-y + 7) = 3(y + 5) + 6
A
The equation has one solution, y= 0.
OB.
The equation has one solution, y=-1.
C.
The equation has no solution.
D.
The equation has infinitely many solutions.
Reset
Answer:
THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.
Step-by-step explanation:
A
The equation has one solution, y= 0
Please help due in 10 minutes
Answer:
the second one
Step-by-step explanation:
6x-15
quick one pls help!!
What is the measure of RST shown in the diagram below?
Answer:
dsdsdsdsdsdssdsddddddddd
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A coat was marked down by 60 percent from its original price of $99. Including an 8 percent sales tax, what is the final cost of the coat?
$39.60
$42.77
$59.40
$64.15
Given:
A coat was marked down by 60 percent from its original price of $99.
Rate of sales tax = 8%
To find:
The final cost of the coat after including tax.
Solution:
We have,
Original price = $99
Rate of marked down = 60%
Rate of sales tax = 8%
Marked price = Original price - 60% of original price.
[tex]\text{Marked price}=99-\dfrac{60}{100}\times 99[/tex]
[tex]\text{Marked price}=99-59.4[/tex]
[tex]\text{Marked price}=39.6[/tex]
Now,
Final cost = Marked price + Sales tax
[tex]\text{Final cost}=39.6+\dfrac{8}{100}\times 39.6[/tex]
[tex]\text{Final cost}=39.6+3.168[/tex]
[tex]\text{Final cost}=42.768[/tex]
[tex]\text{Final cost}\approx \$42.77[/tex]
Therefore, the correct option is B.
Answer:
Its B
Step-by-step explanation:
find DC round to the nearest tenth
Answer:
42
we can use trigonometric ratios (cos, sin, tan) to solve this
[tex]cos(54)=AD/20\\20cos(54)=AD\\AD=12\\[/tex]
Using the pythagorean theorum we see that BD is 16
now we can use tan to solve for DC
[tex]tan(28)=16/DC\\DC=16/tan(28)\\DC=30\\30+12=42; AC=42[/tex]
Step-by-step explanation:
Step-by-step explanation:
30.53
loooooooooooooooooooooool
A movie theater sends out a coupon for 80% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket
Answer:
The Equation for the situation is written as
y = 0.8x
Step-by-step explanation:
y is the price of the ticket with the coupon
x is the original price of the ticket
A movie theater sends out a coupon for 80% off the price of a ticket.
This is expressed algebraically as:
80% × x
80/100 × x
= 0.8x
Therefore, the Equation for the situation is written as
The price of the ticket with the coupon:
y = 0.8x
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 40 minutes? In 1 hour
Answer:
Answer: The car will travel 29 1/3 miles in 44 minutes, 40 miles in an hour
Step-by-step explanation:
1 1/2x2 1/4 = 2/3
Multiply that by your minutes (25) and you will get 16.6666
Convert to a fraction and u will get 16 2/3 miles in 25 minutes
40 miles in an hour