Answer:
l + w = 40, lw = 300
l(40 - l) = 300
40l - l² = 300
l² - 40l + 300 = 0
(l - 30)(l - 10) = 0
l = 30, w = 10
The length of the field is 30 meters, and the width of the field is 10 meters.
Please help me! I really need help
Answer: They are not the same shape.
Step-by-step explanation: The given figures have two different shapes that is the first one is square in which all the four sides are equal while the second shape is a rectangle in which the the opposite sides are equal, thus making both the figures different from each other.
The length of a bacterial cell is about 3 x 10^−6 m, and the length of an amoeba cell is about 4.5 x 10^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits. Step by Step needed!
2 x 10^2
2 x 10^3
0.7 x 10^1
6.67 x 10^2
Answer:
Step-by-step explanation:
Okay, so first you take 3 × 10∧-6m back to its decimal form, giving you 0.000003. Also, take 4.5×10∧-4m back to its decimal form giving you 0.00045. You then divide 0.00045 by 0.000003 giving you 6.66666 but we then take it to 6.67 × 10∧2 which is the answer.
Olivia was asked to factor the following expression completely:
[tex]x^3-x+3x^2y-3y[/tex]
[tex]x(x^2-1)+3y(x^2-1)[/tex]
[tex](x + 3y)(x^2 - 1)[/tex]
How can you check Olivia’s work to show the answer is or is not correct. If Olivia is not correct, explain to Olivia where her mistake is and how to fix it.
What is the area to this?
Answer:
The Area of the polygon is 36m².
Step-by-step explanation:
Area of the polygon= Area of rectangle + Area of triangle
Diagram
______________
l. l \
3m |. 3m l. \
|. l. /
|_____________ l /
11m. 2m
( 13m).
Area of rectangle= Length × Width
= 11m × 3m
= 33m²
Area of triangle= ½ × base × height
To find the height= 13m - 11m = 2m
= ½ × 3 × 2
= ½ × 6
= 3m²
Area of the polygon= 33m² + 3m² = 36m²
If the probability of no rain tomorrow is 30%, what is the probability that it will rain tomorrow? Express your answer as a percent.
Answer:
70%
Step-by-step explanation:
Since the probability of no rain tomorrow is 30%, that means 30% of the probability is taken up by the chance of no rain.
Since the total probability always adds up to 100%, that means the remaining 70% of the probability must be for rain.'
So the probability that it will rain tomorrow is 70%.
You can verify this with a probability tree diagram:
Total Probability = 100%
No Rain - 30%
▼
More Likely event
▲
Rain - 70%
Since the chance of no rain is 30%, that leaves 70% for the chance of rain.
The probability that it will rain tomorrow is 70%.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
Given the problem, we need to find the probability that it will rain tomorrow.
Since, the probability of no rain tomorrow is 30%, the probability that it will rain tomorrow is 100% - 30% = 70%.
Hence, the probability that it will rain tomorrow is 70%.
Learn more on probability at:
https://brainly.com/question/31828911
Factor the following expressions completely. Show and check all work on your own paper.
[tex]2x^2-18x-20[/tex]
Answer:
2( (x - 10) (x + 1)
Step-by-step explanation:
First factor out a 2
2([tex]x^{2}[/tex] - 9x - 10) Then you are trying to find two number that add to -9 and multiply to -10 (-10 and 1)
2(x - 10) ( x + 1)
Helping in the name of Jesus.
A juice company gives prizes to anyone finding specially marked caps on its bottles. You and your friends buy 60 bottles of juice. You find 4 of the bottles have a winning cap. What is the experimental probability of winning a prize in the contest? Express your answer as a fraction in simplest form.
Answer:
[tex]\Huge \boxed{ \text{$\frac{1}{15}$}}[/tex]
Step-by-step explanation:
Experimental probability is the probability calculated by performing actual experiments and observing the outcomes. In this case, the experiment is buying juice bottles and checking if they have a winning cap.
You and your friends bought 60 bottles of juice.You found 4 of them had winning caps.To find the experimental probability, we need to divide the number of winning caps (favourable outcomes) by the total number of bottles (possible outcomes).
The experimental probability can be expressed as a fraction:
[tex]\frac{ \text{ \huge Number of Winning Caps}}{\text{ \huge Total Number of Bottles}}[/tex]
Now, let's plug in the numbers you provided:
[tex]\huge \text{ $\frac{4}{60}$}[/tex]
To simplify this fraction, we need to find the greatest common factor (GCF), of the numerator (4) and the denominator (60) and then divide both by the HCF. The HCF of 4 and 60 is 4. So, we divide both the numerator and the denominator by 4:
[tex]\huge \text{ $\frac{4 \div 4}{60 \div 4}$= $\frac{1}{15}$}[/tex]
So, the experimental probability of winning a prize in the contest is [tex]\frac{1}{15}[/tex]. This means that, based on your experiment, there is 1 chance in 15 of finding a winning cap when buying a bottle of juice.
________________________________________________________
Answer: hope this helps ♡
The experimental probability of winning a prize in the contest is 1/15.
Step-by-step explanation:
We want to write the probability of winning a prize in the contest.
Here, the number of bottles with a winning cap is 4 and the total (number of bottles) is 60.
Hence, we will write that the experimental probability of winning a prize in the contest is 4/60.
4/60 simplified is: [tex]\frac{4}{60}=\frac{4 divided by 4}{60dividedby4} = \frac{1}{15}[/tex]
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
