Answer:
Linda was 37.8 m away when the arrow hit the ground
Step-by-step explanation:
We are given that The arc of the arrow can be modeled by the equation :
[tex]y = -0.02x^2 + 0.65x + 4[/tex]
Where x is the horizontal distance (in meters) from Linda
y is the height (in meters) of the arrow.
Now we are supposed to find How far from Linda does the arrow hit the ground
So, y must be 0 when the arrow hits the ground
So, Substitute y = 0 in the equation :
[tex]y = -0.02x^2 + 0.65x + 4\\0 = -0.02x^2 + 0.65x + 4\\0.02x^2-0.65x-4=0\\0.02(x-37.79)(x+5.29)=0\\x=37.79,-5.29[/tex]
Since distance cannot be negative
So,Linda was 37.8 m away when the arrow hit the ground
Kendall went shopping and purchased 7 shirts, 3 pairs of pants, 2 jackets. How many different outfits are possible?
Answer:
42
Step-by-step explanation:
7 x 3 x 2 = 42
X^2-x-20 how do I write that in factored form
Answer:
(x+4)(x-5)
Step-by-step explanation:
You need to find two numbers that multiply to be -20 but add up to be -1.
Answer:
( x - 5 ) ( x + 4 )
Step-by-step explanation:
When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,
x² - x - 20 = 0
Sum = -1
Product = -20
So we need two numbers that sum to -1 and multiply together to make -20
Factors = -5 and 4
x² - 5x + 4x - 20
Factor x² - 5x and 4x -20 separately
x² - 5x = x ( x - 5 )
4x - 20 = 4 ( x - 5 ) So
x ( x - 5 ) + 4 ( x - 5 )
We can see a common factor of ( x - 5 ) and the other bracket would be ( x + 4)
( x - 5 ) ( x + 4 )
7w+3 =24 so what does W =
Answer:
Step-by-step explanation:
hello :
7w+3-3 =24-3
7w=21
w=21/7 =3
2x3 to the second power plus 5 to the second power
Answer: 43
Multiply
3×3=9
New Problem: (2)(9)+5²
Multiply
2×9=18
New Problem: 18+5²
Multiply
5×5=25
New Problem: 18+25
Add
18+25=43
Answer:
it would be 43 :)
Step-by-step explanation:
first you have to do 3 squared which is 9 then you multiply it by 2. Then square 5 which is 25 and add 25 +18+ 43
find the 11th term for : 64, -32, 16, -8
A . -.625
B. 0.625
C. .03125
D. -.03125
Answer:
0.0625 is what i got
Step-by-step explanation:
64, -32, 16, --8, 4, -2, 1, -.5, .25, -.125, 0.0625
What is the theoretical probability of the spinner landing on Elisondra’s section?
Answer:
1/4
Step-by-step explanation:
Just did this.
44 cm
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
25 cm
24 cm
14 cm
can you help me?
Answer:
Step-by-step explanation:
120 and 56
What is the length of side XY as shown on the coordinate plane?
O units
1 units
3 units
4 units
after a long and intense thinking of 2 seconds it's 4 units
Which dimensions cannot create a triangle?
a
three angles measuring 90 degrees, 10 degrees, and 80 degrees
b
three angles measuring 30 degrees, 55 degrees, and 100 degrees
c
three sides measuring 7 cm, 9 cm, and 11 cm
d
three sides measuring 10 m, 16 m, and 10 m
Answer:
B
Step-by-step explanation:
it adds up to 185
#1 Find the slope given the points (3,-20) and (5,8) *
Hey there :)
To find the slope with two points we will need to use the equation [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]x^1[/tex] [tex]x^2[/tex] [tex]y^1[/tex] [tex]y^2[/tex]
( 3 , -20 ) ( 5 , 8 )
Here is what the equation should look like when replaced with the numbers (it will be a fraction) :
[tex]\frac{8 - (-20)}{5 - 3}[/tex]
We know that two negatives cancel out and make a positive, so the numerator would actually be 8 + 20.
Solve the fraction and we get [tex]\frac{28}{2}[/tex]
28 divided by 2 is 14. The slope is 14.
at a restaurant you order a meal that costs 63.90 you leave a 20% tip. the sales tax is 5% what is the total cost of the meal
PLEASE HELP ME 30POINTS +BRAINLY
1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is [tex]\frac{1}{6}[/tex].
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].
Here are two more examples:If a coin is flipped twice, determine the probability that it will land heads both times:
Favorable outcomes: 1 -- HH
Possible outcomes: 4 -- HH, HT, TH, TT
Thus, the probability that the coin will land heads both times is [tex]\frac{1}{4}[/tex].
If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?
Favorable outcomes: 3 (3 white socks)
Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)
Thus, the probability that Dan will grab a white sock is [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex].
I need help with everything.
Step-by-step explanation:
5. 102 = 6( 1 + 4p)
102 = 6 + 24p
102 - 6 = 24p
96 = 24p
96/ 24 = p
4 = p
If a car travels at an average speed of x miles per hour, how far would the car travel in 120 minutes?
Answer:
2x
Step-by-step explanation:
if x equals the amount of miles per hour, then 2x would equal the amount of miles in 2 hours
Two 10 pound forces act on the same object at the same time. Find the
magnitude of their resultant if 135° is between the two forces.
Final Answer:
The magnitude of the resultant force when two 10 pound forces act on the same object 135° apart is approximately 18.47 pounds.
Explanation:
To find the magnitude of the resultant force when two forces are acting at an angle to each other, we can use the law of cosines. In this scenario, we have two forces each of 10 pounds acting on an object with an angle of 135° between them. Let's denote the forces as F1 and F2, both of which have magnitudes of 10 pounds. The angle between them is θ = 135°.
The formula for the resultant force R when two forces act at an angle θ is:
[tex]\[ R = \sqrt{F1^2 + F2^2 + 2 \cdot F1 \cdot F2 \cdot \cos(θ)} \][/tex]
In our case:
[tex]\[ F1 = F2 = 10 \, \text{pounds} \][/tex]
[tex]\[ θ = 135° \][/tex]
Plugging these values into the formula, we get:
[tex]\[ R = \sqrt{10^2 + 10^2 + 2 \cdot 10 \cdot 10 \cdot \cos(135°)} \][/tex]
[tex]\[ R = \sqrt{100 + 100 + 200 \cdot \cos(135°)} \][/tex]
The cosine of 135° is -√2/2 (since 135° is in the second quadrant where the cosine is negative):
[tex]\[ R = \sqrt{200 - 200 \cdot \frac{-\sqrt{2}}{2}} \][/tex]
[tex]\[ R = \sqrt{200 + 100\sqrt{2}} \][/tex]
[tex]\[ R = \sqrt{200 + 100 \cdot 1.414} \] (Since √2 is approximately 1.414)[/tex]
[tex]\[ R = \sqrt{200 + 141.4} \][/tex]
[tex]\[ R = \sqrt{341.4} \][/tex]
[tex]\[ R \approx 18.47 \text{ pounds} \][/tex]
Therefore, the magnitude of the resultant force when two 10 pound forces act on the same object 135° apart is approximately 18.47 pounds.
Jimmy has $100 and would like to buy lottery tickets. Each ticket is $5 dollars. Jimmy finds that the equation for his situation would be y = 5x +100.
True or False?
Answer: False wouldn't it be -100 dollars if hes buying something. Correct me if im wrong.
please help what is y=-3x+12y=−3x+12
Evaluate ab + 5c - d. If a =3, b=2, c=7, and d=4Immersive Reader
(1 Point)
Answer:
46
Step-by-step explanation:
a:3, b:2 , c: 7 and d:4
ab + 5c - d
(3*5) + 5(7) - 4
(15 + 35) -4
50- 4 :46
Answer:
37.
Step-by-step explanation:
ab + 5c - d
= 3*2 + 5*7 - 4
= 6 + 35 - 4
= 37.
Can someone please help me with 10,11,and 12 I WILL MARK BRAINLIEST!!!
Answer:
10 is acute
11 is a right
12 obtuse
Step-by-step explanation:
I NEED HELP ASAP PLEASE! About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?
47.5%
68%
95%
99.7%
Answer:
c: 95%
Step-by-step explanation:
got it right on ed
Using the Empirical Rule, it is found that about 95% of the data lies within 2 standard deviations of the mean in a normal distribution.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, 95% is the answer for this question.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
If Casey places $890 in a savings account,
how much interest will he earn in 12 years at a
5% simple interest rate?
Answer:
$534
Step-by-step explanation:
Simple Interest formula: I = Prt
I = $890 * (0.05)* 12
I = $534
Answer:
Step-by-step explanation:
534
The graph shows the function g(x) for a restricted domain.
On a coordinate plane, a function starts at (negative 4, 0) and then curves through the y-axis at (0, 1.5) and then goes through point (4, 2).
Which is the function g(x) for a restricted domain?
g(x) = Negative RootIndex 3 StartRoot x minus 4 EndRoot; x greater-than-or-equal-to –4
g(x) = Negative RootIndex 3 StartRoot x 4 EndRoot + 4; x greater-than-or-equal-to 0
g(x) = Negative RootIndex 3 StartRoot x + 4 EndRoot; x greater-than-or-equal-to –4
g(x) = Negative RootIndex 3 StartRoot x EndRoot minus 4; x greater-than-or-equal-to 0
Answer:
Option 3
g(x) = Negative RootIndex 3 StartRoot x + 4 EndRoot; x greater-than-or-equal-to –4
Step-by-step explanation:
Since the graph starts at x = -4 and towards the right, domain is x 》-4
g(x) = -(x + 4)^⅓
Because,
0 = -(-4 + 4)^⅓
0 = 0
The function g(x) for the restricted domain is g(x) = -∛(x-4); x ≥ -4.
Explanation:The function g(x) for the restricted domain can be determined by analyzing the given information. The function starts at (-4, 0) and curves through the y-axis at (0, 1.5) before passing through point (4, 2). Based on this, the correct function is g(x) = -∛(x-4); x ≥ -4.
Learn more about Function graph here:https://brainly.com/question/40116062
#SPJ2
Ali picked three numbers out of a hat. Use the information in the box to work out what numbers he picked. The lowest number was 11;the range was 13; the median was 17. Write All numbers in the boxes from lowest to highest
Final answer:
To find the numbers Ali picked, we identify the lowest number (11), calculate the highest number using the range (11 + 13 = 24), and confirm that the median (17) fits between these two numbers. Thus, the numbers are 11, 17, and 24.
Explanation:
Ali picked three numbers, and we have been provided with three pieces of information about these numbers: the lowest number was 11, the range was 13, and the median was 17. We can use this information to determine the three numbers Ali picked.
Step 1: Identify the Lowest Number
We know the lowest number is 11. This is our starting point.
Step 2: Determine the Range
The range of a set of numbers is the difference between the highest and the lowest numbers. Since the range is 13, we add this to the lowest number to find the highest number: 11 + 13 = 24. So, the highest number Ali picked is 24.
Step 3: Find the Median
The median is the middle number in a set of numbers that has been arranged in order. We are told the median is 17, which fits perfectly between our lowest and highest numbers, confirming that our calculations are correct.
Therefore, the numbers Ali picked, in order from lowest to highest, are: 11, 17, and 24.
Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are shown in the plots below.
A dot plot. A number line going from 1.5 to 4.5 in increments of 0.5 is labeled Heights of Shaded plants (inches). There are 0 dots above 1.5, 4 above 2, 3 above 2.5, 2 above 3, 0 above 3.5 and 4, and 1 above 4.5.
A dot plot. A number line going from 1.5 to 4.5 in increments of 0.5 is labeled Heights of Full Sun plants (inches). There are 0 dots above 1.5, 1 above 2, 0 above 2.5, 2 above 3, 0 above 3.5, 4 above 4, and 3 above 4.5.
Which best explains the variability of the sets?
The shaded plants set has greater variability because more data is clustered around the median.
The sets are equally variable because the ranges of the data sets are equal.
The full sun plants set has greater variability because the IQR for full sun plants is greater.
Question;
1) The shaded plants set has greater variability because more data is clustered around the median.
2) The sets are equally variable because the ranges of the data sets are equal.
3) The full sun plants set has greater variability because the IQR for full sun plants is greater.
Answer:
The correct option is;
3) The full sun plants set has greater variability because the IQR for full sun plants is greater
Step-by-step explanation:
To answer the question, we present the dot plot as follows;
Heights of Shaded plants (inches)
0 4 3 2 0 0 1
0 1.5 2 2.5 3 3.5 4 4.5
We calculate the five numbers as follows;
Max = 4.5
Min = 2
1st quartile = (10+1)/4 th term = 2
2nd quartile (Median) = (10+1)/2 th term = 2.5
3rd quartile = 3×(10+1)/4 th term = 3
Interquatile range (IQR) = Q₃ - Q₁ = 3 - 2 = 1
Where:
Q₁ = 1st quartile
Q₃ = 3rd quartile
Heights of Full Sun plants
0 1 0 2 0 4 3
1.5 2 2.5 3 3.5 4 4.5
We calculate the five numbers as follows;
Max = 4.5
Min = 2
1st quartile = (10+1)/4 th term = 3
2nd quartile (Median) = (10+1)/2 th term = 4
3rd quartile = 3×(10+1)/4 th term = 4.5
Interquatile range (IQR) = Q₃ - Q₁ = 4.5 - 3 = 1.5
The interquartile range, IQR, is a measure of variability
Therefore, the full sun plants set has greater variability because the IQR for full sun plants is greater.
if a scientist is able to use 4 kilograms of fertilizer for 5 weeks how much fertilizer did they use each week
Answer:
0.8 kilograms of fertilizer
Step-by-step explanation:
Looking at the data given to us in a fraction form, we can imagine:
4 kilograms / 5 weeks
To find out how many kilograms of fertilizer was used each week, we're going to divide that fraction out, so we're going to do 4 divided by 5. Dividing this will give you:
0.8 kilograms
Therefore your answer is that they use .8 kilograms of fertilizer each week.
Answer:
6
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $500. They used $25 of their budget on props. What percentage of their total budget did they spend on props?
The students spent 5% of their $500 budget on props, calculated by dividing $25 by $500 and then multiplying by 100.
To determine the percentage of the total budget that was spent on props for the student film, we need to use the formula for calculating percentages. The formula is
(amount spent / total budget)
* 100 = percentage spent.
Applying this formula to the given values:
(25 / 500) * 100 = 5%.Therefore, the students spent 5% of their total budget on props.
find, to the nearest inch, the volume of a circular cone with a radius of 12 inches and a slant height of 20 inches. include step by step process. HELP PLEASE ASAP
We have been given that a cone has a radius of 12 inches and slant height of 20 inches. We are asked to find the volume of the cone.
We will use volume of cone formula to solve our given problem.
[tex]V=\frac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex], where
V = Volume of cone,
r = Radius,
l = Slant height.
Upon substituting our given values in volume formula, we will get:
[tex]V=\frac{1}{3}\pi\cdot 12^2\cdot \sqrt{20^2-12^2}[/tex]
[tex]V=\frac{1}{3}\pi\cdot 144\cdot \sqrt{400-144}[/tex]
[tex]V=48\pi\cdot\sqrt{256}[/tex]
[tex]V=48\pi\cdot16[/tex]
[tex]V=2412.743157[/tex]
[tex]V\approx 2412.74[/tex]
Therefore, the volume of the cone is approximately 2412.74 cubic inches.
Which diagram represents the postulate that states exactly one line exists between any two points?
cOf
Answer: c on edg
Step-by-step explanation: I have no idea, i guess that’s just what it is, I’m no math genius.
Lines and points are both undefined terms in geometry.
The diagram that represents the postulate is line (c)
The given postulate states that:
Exactly one line exists between any two points.
This means that:
The line must pass through the two points.
From the given options (see attachment)'
Only option (c) is true
Because the line passes through points A and B.
Hence, the diagram that supports the postulate is line (c).
Read more about points and lines at:
https://brainly.com/question/15212542
which trend is the plot
Answer:
positive trend
Step-by-step explanation:
the points are all positive
Answer: it shows no trend they’re all scattered and there is no straight line
Step-by-step explanation:
Tickets numbered 1 to 20 are placed in a hat. Two tickets are drawn out at random, without
replacement. Find the probability that:
a: the first number drawn is even and the second number is odd
b: both of the numbers are prime.
-please help include explanation too, it would be really helpful if u can!-
Answer: 5/19
Step-by-step explanation:
There is a total of 20 tickets numbered from 1 to 20.
10 of the tickets has even number and 10 of the tickets have odd numbers.
probability of drawing a ticket that has even number =10/20 which is equal to 1/2
there are total 19 tickets and 10 odd tickets are available.
Probability of drawing a ticket that has odd number =1019
probability =1/2∗10/19=5/19
Answer:
a. 5/19, b. 14/95
Step-by-step explanation:
a. since the first number drawn has 10/20 chance of being even and it's not put back (you assume that you pull an even #), so the second number pulled has a 10/19 chance of being odd.
10/20*10/19 = 5/19
b. 2, 3, 5, 7, 11, 13, 17, 19 are the prime numbers, so 8/20 for the first pull and then 7/19 for the second pull
8/20*7/19 = 14/95