What is the area of this triangle?
A=bh2
24 in²
30 in²
48 in²
96 in²
Right triangle with height labeled 8 inches, base labeled 6 inches, and third side labeled 10 inches.
While hovering near the top of a waterfall in a national park at 46244624 feet, a helicopter pilot accidentally drops his sunglasses. the height h left parenthesis t right parenthesish(t) of the sunglasses after t seconds is given by the polynomial function h left parenthesis t right parenthesis equals negative 16 t squared plus 4624h(t)=−16t2+4624. when will the sunglasses hit the ground?
Picture included!
Can someone help me with these 2 questions please?
Charley wants to have $950,000 when he retires in a year. If he currently has $900,000 to put in a 1-year CD, which of these APRs and compounding periods will allow him to reach his goal?
A. An APR of 5.44% compounded semiannually
B. An APR of 5.42% compounded monthly
C. An APR of 5.34% compounded daily
D. An APR of 5.43% compounded quarterly
Charley needs an APR of 5.44% compounded semiannually to reach his goal of $950,000 in a year.(A)
Given:
Final Amount (A) = $950,000
Principal Amount (P) = $900,000
Time (t) = 1 year
We use the compound interest formula: A = [tex]P(1 + r/n)^{(nt)[/tex]
Option A: 5.44% APR compounded semiannually
APR (r) = 0.0544
Compounding periods per year (n) = 2
Plugging in the values, we get: A = 900,000[tex](1 + 0.0544/2)^{(2*1)[/tex]≈ $949,999 (which is approximately $950,000)
Option B: 5.42% APR compounded monthly
APR (r) = 0.0542
Compounding periods per year (n) = 12
Plugging in the values, we get: A = 900,000[tex](1 + 0.0542/12)^{(12*1)[/tex] ≈ $949,941 (less than $950,000)
Option C: 5.34% APR compounded daily
APR (r) = 0.0534
Compounding periods per year (n) = 365
Plugging in the values, we get: A = 900,000[tex](1 + 0.0534/365)^{(365*1)[/tex] ≈ $949,591 (less than $950,000)
Option D: 5.43% APR compounded quarterly
APR (r) = 0.0543
Compounding periods per year (n) = 4
Plugging in the values, we get: A = 900,000[tex](1 + 0.0543/4)^{(4*1)[/tex] ≈ $949,980 (missing the goal by a small amount)
Conclusion: The correct option is 5.44% compounded semiannually as it allows Charley to reach his goal of $950,000.
HELP!!!!!!!!!!!!!!
The ratio of the side length of Square A to the side length of Square B is 4:9. The side length of Square A is 12 yards. What is the perimeter of Square B?
Summer looked at the formula for the Pythagorean Theorem, ashe said that it didn't matter which sides of a right triangle were a, b, and C. Is she correct?
Devin borrowed $1,058 at 13 percent for nine months. What will he pay in interest?
A. 103.16
B.105.80
C.137.54
D.122.40
Devin borrowed $1,058 at 13 percent for nine months.
We have to calculate the interest paid.
Interest = [tex] \frac{P \times R \times T}{100} [/tex]
Substituting the values of
Principal = $1058
Rate = 13%
Time = 9 months = [tex] \frac{9}{12} [/tex] year
Interest = [tex] \frac{1058 \times 13 \times 9}{12 \times 100} [/tex]
Interest = 103.155
= 103.16
So, Devin will pay 103.16 as the interest.
Therefore, Option A is the correct answer.
is this a linear function , why or why not ? explain
y=x^2-1
Please help?
What is m V?
Round only your final answer to the nearest tenth.
The answer would be 53.9
BRAINLIEST FOR BEST ANSWER
Lines are perpendicular when the slopes are _____
A harris poll found that 35% of people said that they drink a caffeinated beverage to combat midday drowsiness. a recent survey found that 19 out of 48 randomly selected people stated that they drank a caffeinated beverage to combat midday drowsiness. at latex-8e4a9cff882bfbfe876f36fb5b4c08e8_5a945b8082ee7.png, is the claim of the percentage found in the harris poll believable?
To determine the believability of the Harris Poll's claim that 35% use caffeine to combat drowsiness, a hypothesis test for proportions is needed. The sample proportion of 39.58% from the recent survey would be tested against the null hypothesis of 35% using a z-score calculation. Depending on if the z-score falls within the critical region, we can either reject or fail to reject the null hypothesis.
Explanation:To determine if the claim of the percentage found in the Harris Poll is believable based on the recent survey, we can conduct a hypothesis test for proportions. The null hypothesis (¿¿H₀) is that the true proportion of people who drink a caffeinated beverage to combat midday drowsiness is 35%, as stated by the Harris Poll. The alternative hypothesis (¿¿H₁) would be that the true proportion is different from 35%.
We use the information that 19 out of 48 randomly selected people stated that they drank a caffeinated beverage for midday drowsiness, which gives us a sample proportion of approximately 39.58%. To test this, we can calculate the z-score for the sample proportion and compare it to the critical value for α = 0.05 (two-tailed test). If the calculated z-score falls within the critical region, we reject the null hypothesis, indicating that the Harris Poll's claim is not believable. However, if the z-score is outside the critical region, we do not have enough evidence to reject the null hypothesis, and thus the claim is considered believable.
To perform this test, we would need to calculate the standard error for the proportion, z-score, and then compare the z-score to the appropriate critical value. Without performing the calculations here, we cannot definitively conclude about the believability of the Harris Poll's percentage claim. However, a statistician would run these numbers to reach a conclusion.
What is the area of the shaded region of the following figure?
446 in.2
5,760 in.2
4,788 in.2
5,274 in.2
Answer:
5,274 in.2
Step-by-step explanation:
Find the area of both the shaded and not shaded regions.
Shaded: 8 ft x 12 in = 96 5 ft x 12 in = 60
Then: 96 in x 60 in = 5760
Not Shaded: 27 in x (36 / 2) 18 in = 486
Then Subtract The Not Shaded Region From The Shaded Region:
5,760 - 486 = 5,274
after earning $17 in interest bob bank account has $143 how many dollars were in the account to start with
If f(x) = 6x - 4, what is f(x) when x = 8?
I need help peeps, im having troubles
Find the Area of the figure
Which property is demonstrated below
Answer:
associative property of multiplication
Step-by-step explanation:
edge 2021
4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
(1 point)
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.
4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
(1 point)
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.
@Mathematics
Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
A. The statement is not reversible.
B. Yes; if two lines intersect at right angles, then they are perpendicular.
C. Yes; if two lines are perpendicular, then they intersect at right angles.
D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.
Answer:
Yes; two lines intersect at right angles if (and only if) they are perpendicular.
Step-by-step explanation:
In a biconditional statement, both parts have to be true. In this case, if the two lines intersect at a right angle then they are perpendicular, and if they are perpendicular then they intersect at a right angle
a) The volleyball reached its maximum height after 3 seconds.
b) The maximum height of the volleyball was 23 feet.
c) If the volleyball is not returned by the opposing team, it will hit the ground in
5.5 seconds.
d)The graph that models the volleyball's height over time is exponential.
e) The volleyball was served for a height of 5 feet.
Raina is fertilizing her garden. The garden is in the shape of a rectangle. Its length is
15 feet and its width is 13
feet. Suppose each bag of fertilizer covers 39
square feet. How many bags will she need to cover the garden?
Answer: 5 bags
Step-by-step explanation:
A circular test track for cars has a circumference of 2.7km . A car travels around the track from the southernmost point to the northernmost point. What distance does the car travel? (answer 1.35km). Part B !!!!!!!What is the car's displacement from its original position?,
If tan theta= 15/8, then:
A. sec theta = 17/8
B. cos theta = 15/17
C. cot theta = 8/15
D. csc theta = 17/15
There's potentially more than one answer.,
Answer:
secᎾ=17/8
cotᎾ=8/15
cscᎾ=17/15
Step-by-step explanation:
Zero is a solution of (-1 < x < 1).
A. True
B. False
Which of the following is the solution of 5e^2x-4=11
The solution of the equation will be x = (ln 3) / 2. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
5e²ˣ – 4 = 11
On simplifying, we have
5e²ˣ = 15
e²ˣ = 3
Taking log on both sides, then we have
2x ln e = ln3
We know ln e = 1, then we have
2x = ln 3
x = (ln 3) / 2
Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
what is the approximate area of the shaded region
PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST FOR BEST/RIGHT ANSWER!!!!!!!!
In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians.
What is the arc length?
Use 3.14 for π .
Answer:
Arc length = 32.97 m .
Step-by-step explanation:
Given : In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians and use 3.14 for π .
To find : What is the arc length.
Solution : We have given a circle of radius = 6 m
Central angle = 7π/4
Formula of arc length = radius × central angle .
Arc length = 6 × ([tex]\frac{7(3.14)}{4}[/tex]).
Arc length = 32.97 m .
Therefore, Arc length = 32.97 m .
The set of life spans of an appliance is normally distributed with a mean mc013-1.jpg = 48 months and a standard deviation mc013-2.jpg = 8 months. What is the life span of an appliance that has a z-score of –3?
The life span of an appliance that has a z-score of –3 is 24 months if the set of life spans of an appliance is normally distributed with a mean is 48 months and a standard deviation is 8 months.
What is Z-test?The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.
We have:
Z = -3,
[tex]\rm \mu = 48[/tex]
[tex]\sigma = 8[/tex]
We know the formula for the Z-score:
[tex]\rm Z = \frac{X-\mu}{\sigma}[/tex]
[tex]\rm-3= \frac{X-48}{8}[/tex]
-24 = X - 48
X = 24 months
Thus, the life span of an appliance that has a z-score of –3 is 24 months if the set of life spans of an appliance is normally distributed with a mean is 48 months and a standard deviation is 8 months.
Learn more about the Z-test here:
brainly.com/question/15683598
#SPJ3
what is the slope of the line that contains the points (-1,2) and (3,3)?
A. -1/4
B. 1/4
C. 4
D. -4
the slope of the line is letter B) 1/4....
The slope of the line that contains the points (-1,2) and (3,3) is calculated using a specific formula. After performing the calculation, the result is 1/4.
Explanation:The slope of a line is calculated using a specific formula based on line's points: (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of two distinct points on the line. In this case, the points given are (-1,2) and (3,3).
Let's substitute into the formula:
(3 - 2) / (3 - (-1)) = 1 / 4.
Therefore, the slope of the line that contains the points (-1,2) and (3,3) is 1/4, which corresponds to answer choice B.
Learn more about Slope of a Line here:https://brainly.com/question/34207674
#SPJ11