The possible coordinates of point A is: (-7, -4)
How to find the distance between two coordinates?The formula for the distance between two coordinates is:
D = √[(y₂ - y₁)² + (x₂ - x₁)²]
We are given:
(x₂, y₂) = (1, 2)
(x₁, y₁) = (-7, y₁)
Thus, if AB = 10, then we have:
√[(2 - y₁)² + (-7 - 1)²] = 10
(2 - y₁)² + 64 = 100
(2 - y₁)² = 100 - 64
(2 - y₁)² = 36
(2 - y₁) = √36
2 - y₁ = 6
2 - 6 = y₁
y₁ = -4
Thus, the coordinate of point A is: (-7, -4)
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91. Write 0.000387 in scientific notation
Answer: 3.87×10^−4
Hope this helps!
The difference between Lana's and her younger sister Lee's ages is 2. If Lee is 17 years old, how old is Lana? Let x represent Lana's age. Write and solve an equation for x
Answer:
x = 19
x - 17 = 2
2 + 17 = 19
Hope this helps!
Round the number to 3
significant figures.
0.2590100
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
If each shelf can hold at most 20 books, what is the least number of shelves needed to store the 175 books?
Answer- 9 shelves
In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.
HOPE THIS HELPS & GOOD LUCK!
If <1 = 140°, then
<2=
Answer:
∠ 2 = 140°
Step-by-step explanation:
∠ 1 and ∠ 2 are alternate exterior angles and are congruent , so
∠ 2 = ∠ 1 = 140°
a researcher at nike wants to determine if there are differences between groups of people in how much money they spend on athletic apparel. she will compare the following groups: college athletes, recreational athletes, people who used to be athletes and are not any longer, and non-athletes. what is the dependent variable? group of answer choices college athletes group of people money spent on athletic apparel non-athletes
The dependent variable in this research study is the amount of money spent on athletic apparel.
The dependent variable is the variable that is measured or observed in response to changes in the independent variable. In this case, the researcher is interested in comparing different groups of people (college athletes, recreational athletes, people who used to be athletes but are not anymore, and non-athletes) and examining how their spending on athletic apparel varies. The amount of money spent on athletic apparel is the variable that will be measured and compared across the different groups.
By analyzing and comparing the spending patterns of these groups, the researcher aims to determine if there are any significant differences in how much money each group spends on athletic apparel. The dependent variable, in this case, serves as an indicator or measure of the behavior or preference being studied.
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determine whether the integral is convergent or divergent. if it is convergent, evaluate it. (if the quantity diverges, enter diverges.) [infinity] 39 ln(x) x dx 1
a. divergent
b.convergent
b. convergent Since the limit approaches infinity, the integral diverges. Therefore, the answer is convergent .
To determine the convergence of the integral [infinity] 39 ln(x) x dx, we can use the integral test. This test states that if f(x) is a continuous, positive, and decreasing function on [a, infinity), then the improper integral [a, infinity) f(x) dx converges if and only if the series sum from n=a to infinity of f(n) converges.
In this case, we have f(x) = 39 ln(x)/x, which is a continuous, positive, and decreasing function on [1, infinity). Thus, we can apply the integral test.
Let's evaluate the integral using integration by parts:
∫ 39 ln(x)/x dx = 39 ∫ ln(x) d(ln(x))
= 39 (ln(x))^2/2 + C
Now, we need to check whether the integral converges or diverges.
As x approaches infinity, ln(x) grows without bound, so (ln(x))^2 grows even faster. Thus, the integral is improper at infinity.
We can evaluate the limit as x approaches infinity of (ln(x))^2/2 to determine whether the integral converges or diverges:
lim (x → infinity) (ln(x))^2/2 = infinity
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Inez has saved $5. She doubles the amount she saves each week. Does this represent an exponential function?
work out the reciprical of 3.5
Answer:
\(\frac{2}{7}\)
Step-by-step explanation:
3.5 = \(\frac{7}{2}\)
swap the numerator and denominator (flip the fraction):
reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)
5. The abandoned church has a quantity of (13x + 21) ghosts living there and the sharpening shop has
(5x + 75). How many ghosts live in the abandoned church AND the sharpening shop.
Answer:
18x + 96
Step-by-step explanation:
Hope this helps! Pls give brainliest!
A quadratic function is given. f(x) = 3r-x+6 What is f(2)?
F 40
28
16
Answer:
answer is 16
good day mate
3.4X10^-5 in standard form
Answer:
3.4 X 10^-5. It already in standard form. But if you want the answer to the equation it's 0.000034
Step-by-step explanation:
A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.
❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.
Answer:
5.40 is one correct answer, 3.38 is a correct answer, and 2.30 is correct I hope this helped!!
Step-by-step explanation:
You would just divide the price to the amount of whatever youre solvong for unit prices like the gallons.
Answer:5.40
Step-by-step explanation:
if the mean of a data set is large, the standard deviation has to be large also.
Answer:The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.
Step-by-step explanation:
Came someone help me please
Mrs.Ruiz bought 4 14 pounds of sliced of ham for $17. At that rate, what is the cost of 1 pound of sliced ham
Answer:
Cost of 1 pound if sliced ham = $4
Step-by-step explanation:
Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?
Total pounds of ham bought= 4 1/4 pounds
Total cost = $17
what is the cost of 1 pound of sliced ham
Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4
= $17 ÷ 17/4
= 17 × 4/17
= 4
Note:4 1/4 = 17/4
Cost of 1 pound if sliced ham = $4
Check:
4 1/4 pounds × $4 per pound
= 17/4 × 4
= $17
I need help pleaseeee
You join a cycle class. The monthly membership fee is $20 plus the rate per hour spent cycling is $4. What function represents this
scenario?
Answer:
Linear bc the equation of this scenario is y=4x+20
Step-by-step explanation:
What are like terms examples?
Step-by-step explanation:
Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.
How can a translation and a rotation be used to map ΔHJK to ΔLMN?
Translate H to L and rotate about H until HK lies on the line containing LM.
Translate K to M and rotate about K until HK lies on the line containing LM.
Translate K to N and rotate about K until HK lies on the line containing LN.
Translate H to N and rotate about H until HK lies on the line containing LN.
The way we can do a translation and a rotation to be used to map ΔHJK to ΔLMN is:
Option C: translate K to N and rotate about K until HK lies on the line containing LN.
How to find the transformation?There are different types of transformation such as:
Translation
Rotation
Reflection
Dilation
We want to find how a translation and a rotation be used to map ΔHJK to ΔLMN.
This is the concept of the transformation, ΔHJK=ΔLMN, from the diagram:
∠H=∠L
∠K=∠N
∠M=∠J
In order to map ΔHJK to ΔLMN, we need to translate K to N and rotate about K until HK lies on the same line containing LN.
Thus, the way we can do a translation and a rotation to be used to map ΔHJK to ΔLMN is:
Option C: translate K to N and rotate about K until HK lies on the line containing LN.
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Points (-3, 3) and (2, -9) are located on the coordinate plane. What is the distance between these two points?
Answer:
13
Step-by-step explanation:
pythagorean theorem, draw a vertical and horizontal line 5^2+12^2= 13^3
3x+y=-4 in slope intercept form
Answer: y = -3x - 4
Step-by-step explanation:
Slope intercept form would be y = mx + b. To get your equation to this form you would need to isolate for y as shown:
3x + y = -4
y = -3x - 4 <-- Here I subtracted both sides by 3x
okay guys last one =)
The function that is likely the best fit is given as follows:
Logarithmic regression.
How to define the function of best fit?The function of a best fit is a logarithmic regression, as the function starts with a fast increasing rate until it approaches the vertical asymptote.
As for the other options, we have that:
It is not quadratic as the function is increasing over it's entire domain.It is not linear as the rate of increase is not constant.It is not exponential as the increase rate slows down as the input increases.More can be learned about functions at https://brainly.com/question/15602982
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can someone help me solve ?
From the given graph, f ( - 2 ) can be found to be - 3 .
How to find the value ?When given a function such as f ( - 2 ), the meaning is that you need to find the value on the y - axis that corresponds to the value on the x - axis which in this case is - 2.
Going by the given graph, the value that corresponds to - 2 on the graph, would be the value of - 3 which is shown on the horizontal line that originates from - 3 and extends leftwards.
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Find the distance between the pair of points.
N(-5, -15), P(-5, -2)
d = ?
Answer:
13
Step-by-step explanation:
0^2+13^2=square root 169=13
Jose filled up his car with gas before embarking on a road trip across the country. Let G represent the number of gallons of gas remaining in his gas tank after driving for t hours. A graph of G is shown below. Write an equation for G then state the x- intercept of the graph and determine it's interpretation in the context of the problem.
G = _______
The x-intercept of the function is ____ which represents _____ .
Answer:
G= -6/5x+15
X intercept is 12 and it means the gas runs out after 12 hours
Step-by-step explanation:
the slope is using rise over run is 6/5 but since it’s going down it’s negative and the y intercept is 15 since it intersects at this point
Steve read in the school newspaper that 34. 6% of students plan to attend college after graduation. Steve thinks that more than 34. 6% of students at his large school plan to go to college. To investigate, he selects a random sample of =250 students from his school to test the hypotheses
H0:pH:p=0. 346≠0. 346
where p is the proportion of students that plan to attend college after graduation.
In Steve's sample, 93 students said that they plan to go to college.
What is the value of the standardized z test statistic and P-value of the test of the given hypotheses?
Give your answer for the test statistic precise to two decimal places and give the P-value precise to four decimal places.
What decision should Steve make at the α = 0. 01 level?
Since it's a two-tailed test, P-value = 2 * 0.1271 ≈ 0.2542.
With α = 0.01, the P-value (0.2542) is greater than α, so Steve should fail to reject the null hypothesis.
How to solveSteve's hypotheses should be:
H₀: p = 0.346
H₁: p ≠ 0.346
Using the sample, we find the sample proportion (p_hat) is 93/250 = 0.372.
To calculate the z-test statistic:
z = (p_hat - p) / sqrt((p * (1 - p)) / n)
z = (0.372 - 0.346) / sqrt((0.346 * 0.654) / 250)
z ≈ 1.14
To find the P-value, use a two-tailed test and a z-table to determine the area right of z. ≈ 0.1271. Since it's a two-tailed test, P-value = 2 * 0.1271 ≈ 0.2542.
With α = 0.01, the P-value (0.2542) is greater than α, so Steve should fail to reject the null hypothesis.
The evidence is not strong enough to suggest that the proportion of students planning to attend college differs from 34.6%.
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Keerthana buys a board game that costs $28. She pays 1.54 in sales tax. What is the tax rate she payed
WILL MARK BRANLIEST
Answer:
5.5%
Step-by-step explanation:
1.54/28=0.055
A point is a physical measurement approximately equal to 1/16th of an inch. Group of answer choices False True
assume x=x(t) and y=y(t). find dx dt if x2 y2=25 when dy dt=3, x=3, and y=4
Step-by-step explanation:
Starting with the equation x^2 + y^2 = 25, we can implicitly differentiate with respect to t using the chain rule:
2x dx/dt + 2y dy/dt = 0
Now we can plug in the given values for dy/dt, x, and y:
2(3) dx/dt + 2(4) (3) = 0
Simplifying:
6 dx/dt + 24 = 0
Subtracting 24 from both sides:
6 dx/dt = -24
Dividing by 6:
dx/dt = -4
Therefore, dx/dt = -4 when dy/dt = 3, x = 3, and y = 4.
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The value of the derivative, dx/dt is -4, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4.
To find dx/dt when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4, you can go through the following steps:1. Differentiate both sides of the equation x^2 + y^2 = 25 with respect to t. Use the chain rule for differentiating y^2 with respect to t.
d(x^2)/dt + d(y^2)/dt = d(25)/dt
2. Apply the chain rule,
2x(dx/dt) + 2y(dy/dt) = 0
3. Plug in the given values for x, y, and dy/dt,
2(3)(dx/dt) + 2(4)(3) = 0
4. Simplifying the equation,
6(dx/dt) + 24 = 0
5. Solve for dx/dt,
6(dx/dt) = -24
dx/dt = -24/6
dx/dt = -4
So, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4, the value of the derivative, dx/dt is -4.
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What is the decimal equivalent of HELP
Answer:
C.) 2.7 with the line over the 7