Answer: Exact is 36.05551275 miles southwest of where Sam started.
That's approximately 36.1 miles
Step-by-step explanation:
20²= 400
30²= 900
√1300 =36.05551275
Round to 36.1
Find the vertex, the equation of the axis of symmetry, and the y-intercept of each function.
7) y = -2x-4x+5
Answer:
Vertex: (-1,7)
Equation of the axis of symmetry: x = -1
y-intercept: (0, 5)
Step-by-step explanation:
I will assume that the function is quadratic where it is supposed to be y = -2x² - 4x + 5.
The standard form of quadratic functions can be written as
y = ax² + bx + c
To find the vertex of this function, we need the axis of symmetry (aos).
aos = - b/2a
= - ( -4/-4)
= - 1
Axis of symmetry: x = -1
For the vertex, simply plug in the aos into the function.
f(x) = -2x² - 4x + 5
f(-1) = -2(-1)² -4(-1) + 5
= -2 + 4 + 5
= 7
Vertex: (-1, 7)
Now the y-intercept is the easiest part, since the function is written in standard form. When it is, the y-intercept is always (0, c), which in this case is (0, 5).
y-intercept: (0,5)
A biologist was doing an experiment with plants. The shortest plant measured 13 feet. The tallest plant measured 1.45 feet. Drag all measurements into the box that are between the heights of the two plants.
1.2 feet
1.4 feet
1.31 feet
1.03 feet
1.44 feet
1.5 feet
help I will follow and give BRAINLIEST
The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.
The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.
Multiply $81$ by the sum of $2$ and $3$.
Reflect the given triangle over the line y= -x
[0 7 -1]
[0 -3 -4]
Answer:
9514 1404 393
Answer:
[ 0 -3 4 ]
[ 0 -7 1 ]
Step-by-step explanation:
Reflection over the line y=-x swaps the coefficients and negates both of them.
(x, y) ⇒ (-y, -x)
Dont take my word for it ...
Answer: 0 3 4
0 -7 1
Step-by-step explanation:
Look at image, I need help as soon as possible!
Answer:
I predict 1,008 people may have cookies as their favorite snack.
Step-by-step explanation:
27 + 21 + 63 + 64 = 175
63 x
---- = -------
175 2800
Multiply both sides by 16
63 x 16 = 1,008
write the EQ of circle i find center and radius given
x² + y²-4x+12y =-4
Answer:
CENTER :(2,-6)
RADIUS: 6
FOLLOW ME❤️✨FOR M0RE QUESTION
THAT YOU WHAT ME TO ANSWER
Step-by-step explanation:
Hey there!
Given;
[tex] {x}^{2} + {y}^{2} - 4x + 12y = \: - 4[/tex]
Now, Try to make it a perfect square.
[tex] {x}^{2} - 4x + {(2)}^{2} - ( { 2)}^{2} + {y}^{2} + 12y + ( {6)}^{2} - ( {6)}^{2} = - 4 [/tex]
Make perfect square and shift -(2)^2 and -(6)^2 on right side.
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = - 4 + 40[/tex]
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = 36[/tex]
Comparing the equation with (x-h)^2(y-h)^2= r^2.
We get,
Centre (h,k)= (2,-6)
Radius (r) = 6
Hope it helps...
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Answer:
67
Step-by-step explanation:
A = 25, T(0) = 100, T(1) = 90, find T(4)
dT/dt = -k(T - A)
d(T - A)/dt = -k(T - A)
d(T - A)/(T - A) = -k dt
ln(T - A) = lnC - kt
[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]
[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]
It takes the window washing crew 15 minutes to wash 18 windows. Based on this, how long does it take them to wash all 24,348 windows?
Answer:
Step-by-step explanation:
34321.2 min
Step-by-step explanation:
The Burj Khalifa has in total 28601 windows. On the other hand, we are told the window-washing crew can wash 15 windows in 18 minutes. So, we can use the Rule of three to solve this problem:
If:
15 windows ---- 18 min
28601 windows ---- ?
Then:
? = (28601windows)(18min)/15windows
? = 34321.2min
To wash all 24,348 windows the washing crew needs 20290 minutes.
What is unitary method ?Unitary method a tool for first determining the value of a single unit from there we can find values of any given unit.If we multiply the value of single unit with the give data we can obtain our result.
According to the given question It takes the window washing crew 15 minutes to wash 18 windows.
∴ To wash 1 window by the window washing crew is
= 15/18 minutes.
= 5/6 minutes.
So, To wash 24348 windows the time required is
= (5/6)×24348 minutes.
= 20290 minutes.
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You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?
Answer:
80%
Step-by-step explanation:
GIven:
You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?
Solve:
24/30 x 100
0.8 x 100
80%
Hence, the percentage of correct answers on the test.
~Lenvy~
Which relationships describe angles 1 and 2?
Select each correct answer.
vertical angles
complementary angles
adjacent angles
supplementary angles
Answer:
Supplementary angles
Step-by-step explanation:
Those kind of angles are next to each other.
Answer:
adjacent and complimentary angles
Step-by-step explanation:
what I got
Researchers for a local marketing firm have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how would they notate this distribution
Answer:
df=23, T∼t23
Step-by-step explanation:
The degrees of freedom would be calculated as df = n-1 = 24-1 = 23, and the distribution notation would be T∼t23 from the degrees of freedom.
what is the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the one that appears the most, most common one
Answer:
2
Step-by-step explanation:
mode means the most common number in the set.
I hope this helps....
Find f(-2) for f(x)=-4x-7
Which of the following is the equation of a nonlinear function?
A. y = 25
B. y = x −
C. y = 10x
D. y = x 2 + 15
Answer:
A
Step-by-step explanation:
y = 25 is a zero slope function and is also not in the form of y=mx+b, unlike the others.
By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 290 minutes on the phone, and paid $22.25. In another month, you spent 360 minutes on the phone, and paid $24.00.
Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.
a. This linear model's slope-intercept equation is_____________.
b. If you spent 140 minutes over the phone in a month, you would pay________________ .
c. If in a month, you paid $26.25 of cell phone bill, you must have spent ______________minutes on the phone in that month.
Answer:
(a) [tex]y = 0.025x+15[/tex]
(b) 18.5 minutes
(c) 450.4 minutes
Step-by-step explanation:
Given
[tex]290\ minutes = \$22.25[/tex]
[tex]360\ minutes = \$24.00[/tex]
Solving (a): Determine the linear equation
First, we need to calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (290,22.25)[/tex]
[tex](x_2,y_2) = (360,24.00)[/tex]
So, we have:
[tex]m = \frac{24.00 - 22.25}{360 - 290}[/tex]
[tex]m = \frac{1.75}{70}[/tex]
Multiply through by 100
[tex]m = \frac{1.75 * 100}{70 * 100}[/tex]
[tex]m = \frac{175}{7000}[/tex]
Next, is to calculate the equation of the line using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that:
[tex](x_1,y_1) = (290,22.25)[/tex]
[tex]m = \frac{175}{7000}[/tex]
[tex]y - 22.25 = \frac{175}{7000}(x - 290)[/tex]
[tex]y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290[/tex]
[tex]y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}[/tex]
Add 22.25 to both sides
[tex]y = \frac{175x}{7000} - \frac{5075}{700} + 22.25[/tex]
[tex]y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}[/tex]
[tex]y = \frac{175x}{7000} + \frac{10500}{700}[/tex]
[tex]y = 0.025x+15[/tex]
(b) Solve for y when x = 140
[tex]y = 0.025x+15[/tex]
Substitute 140 for x
[tex]y = 0.025 * 140 + 15[/tex]
[tex]y = 3.5 + 15[/tex]
[tex]y = 18.5[/tex]
(c) Solve for x when y = 26.25
[tex]y = 0.025x+15[/tex]
Substitute 26.25 for y
[tex]26.25 = 0.025x + 15[/tex]
Solve for 0.025x
[tex]0.025x = 26.26 - 15[/tex]
[tex]0.025x = 11.26[/tex]
Solve for x
[tex]x = 11.26/0.025[/tex]
[tex]x = 450.4\ minutes[/tex]
What are the effects of low‑fat food labels on food consumption? Do people eat more of a snack food when the food is labeled as low‑fat? The answer may depend both on whether the snack food is labeled low‑fat and whether the label includes serving‑size information. An experiment investigated this question using university staff, graduate students, and undergraduate students at a large university as subjects. Subjects were asked to evaluate a pilot episode for an upcoming TV show in a theater on campus and were given a cold 24‑ounce bottle of water and a bag of granola from a respected campus restaurant called The Spice Box. They were told to enjoy as much or as little of the granola as they wanted. Depending on the condition randomly assigned to the subjects, the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola." Below this, the label indicated "Contains 1 Serving" or "Contains 2 Servings" or it provided no serving‑size information. Twenty subjects were assigned to each treatment, and their granola bags were weighed at the end of the session to determine how much granola was eaten. (a) How many factors and treatments are there?
Answer:
There are six factors and two treatments.
Step-by-step explanation:
We can make this conclusion because treatments in experimentation refer to something that researchers use or administer to their subjects, while factors simply refer to the category of treatments; in other words, the number of various types of treatments.
Remember, the researchers stated that "the condition [treatments] randomly assigned to the subjects", is that the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola," which shows that the treatments are two (Rocky Mountain Granola and Low‑Fat Rocky Mountain Granola). Summing the factors (various types/categories of treatments) gives us six factors.
its 2.2 km from charlie's house to the nearest mailbox. how far is it in meters
Answer:
2200
Step-by-step explanation:
Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.
Answer: 2,200
Step-by-step explanation:
Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.
Solve the literal equation for E.
LaTeX: G=\frac{2b^2E}{F}
Answer:
[tex]E=\dfrac{FG}{2b^2}[/tex]
Step-by-step explanation:
Multiply by the inverse of the coefficient of E.
[tex]G=\dfrac{2b^2E}{F}\\\\\boxed{E=\dfrac{FG}{2b^2}}[/tex]
A coach buys 15 basketball uniforms for $546.
Which relationship relates the price to uniforms. Circle
all that apply.
a. 1:15
b. 15 to 546
c. 36.4071
d. 1 to 36.40
e.546 to 15
Answer:
d
Step-by-step explanation:
In a short story, a scientist spends decades working to genetically engineer a
chimpanzee that can produce human speech. Her eventual success reveals
that animals of all kinds are far smarter and more perceptive than we had
ever realized. In the end, the chimpanzee is
released into the wild and the
scientist's work erased because humans are not comfortable with this
knowledge.
What are two common literary themes that this story most clearly shows?
• A. The determination to succeed and the acceptance of failure
• B. The domination of man over nature and unrealized dreams
• C. The complexity of nature and the security of ignorance
• D. The power of
science and the evil of humankind
Answer:
C
Step-by-step explanation:
it’s just unnatural for a wild animal to give a speech. The security of ignorance is when humans are uncomfortable with it.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
What is P44 ? 16 24 4 1
Answer:
Page 44? you mean
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
i just took the test
Three times a number decreased by 9
Answer:
I do not know what you want, but the equation is 3x - 9
Step-by-step explanation:
Answer:
3a - 9
Step-by-step explanation:
Three times a number decreased by 9:
3a - 9
The Bank of France sells U.S. The bank of France sells U.S dollars ($) at a rate of ($1.40)/(€1) and buys U.S. dollars
at a rate of ($1.80)/(€1). At the beginning of a trip, Sandra exchanged $420 to get
€233.33. At the end of the trip, she is left with €36, so she exchanges the €36 back to
U.S. dollars. How many U.S. dollars will Sandra receive in exchange?
Answer:
Sandra will receive 50.4$
Step-by-step explanation:
1.40 x 36 = 50.4
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Sandra will receive $50.4 in exchange of her currency.
What is exchange rate?
" Exchange rate is the process of changing currency of one country at the rate of other country."
According to the question,
Bank of France sells U.S dollars ($) at a exchange rate of = ($1.40)/(€1)
Bank of France buys U.S. dollars at a exchange rate of = ($1.80)/(€1).
Sandra needs to exchange currency back to U.S. dollars. = €36
U.S. dollars received by Sandra in exchange currency = $ ( 1.40 × 36)
= $ 50.4
Hence, Sandra will receive $50.4 in exchange of her currency.
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Please help (21 points)
Answer:
|a^13| / 10
Step-by-step explanation:
√(0.01)=1/10
√(x^26)= |a^13|
[Answer]= |a^13| / 10
Please rate 5 stars if correct!!!
I hope this helps!!!
26. Which of the following DO NOT illustrates independent events?
A. Landing on heads after tossing a coin and rolling a 5 on a single 6-sided die.
B. Choosing a marble from a jar and landing on heads after tossing a coin.
C. Rolling a die and getting an even number.
D. Choosing a 3 from a deck of cards, replacing it and then choosing an ace as the second card.
Answer:
C. obtaining an even number when rolling a die
Step-by-step explanation:
Two events are independent when neither depends on the other. That is, the probability that one occurs is not affected by the occurrence, or lack of occurrence, of the other event. Their joint probability is the product of their individual probabilities.
__
Among the answer choices, all describe two independent events except C. Choice C describes one (1) event, so does NOT illustrate independent events.
Complete the pattern below in the list of numbers. 5, 15, 9, 19, 13,
Answer:
23
Step-by-step explanation:
5+10=15
15-6=9
9+10=19
19-6=13
So, we should do:
13+10=23
(−2/3)(1/6) I need to know how to do fraction accurately
Answer && Step-by-step explanation:
Simple.
- 2/3 1/6 line up together, we already know end result is neg since only one neg sign
2*1 = 2
6*3 == 18
ans == -2/18
Solve 2/5x-1/5>1 x>? pls help I'm timed!!
Answer:
[tex]2/5x-1/5>1 x>[/tex]
= [tex]\:x<-\frac{1}{3}\:[/tex]
could someone help me?
Answer:
∠B = 65°
Step-by-step explanation:
Complementary angles are angles that add up to 90°. So if there is 90 total degrees - 25 degrees of ∠A, then ∠B = 65°.
Light travels at a speed of 1.9 times 10^5 miles per second. How far in miles does light travel in 30 seconds?
Answer:
5,700,000 miles
Step-by-step explanation:
[tex](1.9*10^{5})*30\\ \\190,000*30\\\\=5,700,000[/tex]