Answer:
Blue Box / First answer choice
Step-by-step explanation:
Plug in d1:8.6 and d2:10.2 into d1 x d2/2 to find the area.
d1 x d2/2
8.6 x 10.2/2
87.72/2
Area=43.86
Which of the following is the prime factored form of the lowest common denominator of 15/28-5/12?
Answer:
5/6
Step-by-step explanation:
15/28 - 5/12
LCM of 28 & 12 is 336
420 - 140
--------------
336
=280
--------
336
= 280/336
=5/6
question is in the picture. please help this is for finals.
which of the following features of the data displayed make the use of the bar graph less helpful for a comparison? responses the displayed spending is based on money for grassroots mobilization. the displayed spending is based on money for grassroots mobilization. the data would better fit a horizontal rather than a vertical presentation. the data would better fit a horizontal rather than a vertical presentation. the bar showing the spending for the chamber of commerce makes comparisons with the other groups more difficult. the bar showing the spending for the chamber of commerce makes comparisons with the other groups more difficult. the group or corporation that gave the most money between 1998 and 2014 is difficult to portray visually.
The bar showing the spending for the chamber of commerce makes comparisons with the other groups more difficult.
The structured presentation is a well known visual device for showing information and making correlations between various classifications or gatherings. Nonetheless, certain elements of the information can utilize a visual chart less supportive for correlations. For this situation, the bar showing the spending for the office of trade makes correlations with different gatherings more troublesome on the grounds that it is altogether bigger than different bars, which can make it harder to analyze the general sizes of different bars precisely.
Furthermore, the information would preferable fit a flat rather over an upward show, as this would consider a more clear representation of the information and more precise correlations between the various classifications.
To learn more about data visualization, refer:
https://brainly.com/question/29739392
#SPJ4
A man takes a renovation loan of $28 800 for 4 years at 3.75% per annum. (a) Find the simple interest payable. (b) Find the monthly repayment.
To find the simple interest payable, we can use the formula:
Simple Interest = Principal × Rate × Time
where:
Principal = $28,800
Rate = 3.75% per annum (expressed as a decimal, so 3.75% = 0.0375)
Time = 4 years
(a) The simple interest payable is $4,320.
Simple Interest payable:
Simple Interest = $28,800 × 0.0375 × 4
Simple Interest = $4,320
Therefore, the simple interest payable is $4,320.
(b) The monthly repayment amount is approximately $690.
To find the monthly repayment, we need to calculate the total amount to be repaid and then divide it by the number of months in the loan term.
Total amount to be repaid = Principal + Simple Interest
Total amount to be repaid = $28,800 + $4,320
Total amount to be repaid = $33,120
The loan term is 4 years, which is equivalent to 4 × 12 = 48 months.
Monthly repayment = Total amount to be repaid / Number of months
Monthly repayment = $33,120 / 48
Monthly repayment ≈ $690
Therefore, the monthly repayment amount is approximately $690.
To know more about simple interest:
https://brainly.com/question/30964674
#SPJ11
a firm rents cars from three agencies: 20% from hertz, 20% from avis and 60% from thrifty. if 10% of hertz cars and 12% of avis cars and 4% of thrifty cars have bad tires, what is the probability that the firm will rent a car with bad tires?
If 10% of Hertz cars, 12% of Avis cars, and 4% of Thrifty cars have bad tires, then the probability that the firm will rent a car with bad tires is 0.0644 or 6.44%.
To find the probability that the firm will rent a car with bad tires, we need to consider the probability of renting a car from each agency and the probability of that car having bad tires. We use the law of total probability to combine these probabilities.
Let A, B, and C represent the events that the firm rents a car from Hertz, Avis, and Thrifty, respectively. Let D represent the event that the car has bad tires. Then:
P(D) = P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)
If a firm rents cars 20% (0.20) from Hertz, 20% (0.20) from Avis and 60% (0.60) from Thrifty, and bad tires from Hertz is 10% (0.10), Avis is 12% (0.12), and Thrifty is 4% (0.04)
P(D) = (0.10)(0.20) + (0.12)(0.20) + (0.04)(0.60) = 0.0644
Therefore, the probability that the firm will rent a car with bad tires is 0.0644 or 6.44%.
To learn more about probability visit: https://brainly.com/question/13604758
#SPJ4
A meeting started at 11.35 a.m. and ended at 4.15 p.m. the same day. How long did the meeting last?
Answer:
4 hours 40 minutes
Step-by-step explanation:
We can count up to find the time of the meeting
11:35 to noon is 25 minutes
noon to 4 pm is 4 hours
4 pm to 4:15 is 15 minutes
Add this together
4 hours + 25 minutes + 15 minutes
4 hours 40 minutes
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
In two different experiments, the half-life of a radioactive
sample is found to be 15.5 ± 2.3 days and 16.2 ± 1.5 days.
Determine the best estimate of the half life by combining the two
results.
the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.
To determine the best estimate of the half-life by combining the two results, we can use the weighted average method. The weights assigned to each measurement are inversely proportional to the squares of their uncertainties. Here's how to calculate the combined result:
Step 1: Calculate the weights for each measurement.
w1 = 1/σ1^2
w2 = 1/σ2^2
Where σ1 and σ2 are the uncertainties associated with each measurement.
Step 2: Calculate the weighted values.
w1 * t1 = w1 * (15.5 days)
w2 * t2 = w2 * (16.2 days)
Step 3: Calculate the sum of the weights.
W = w1 + w2
Step 4: Calculate the weighted average.
T = (w1 * t1 + w2 * t2) / W
Step 5: Calculate the combined uncertainty.
σ = √(1 / W)
The best estimate of the half-life is given by the value of T, and the combined uncertainty is given by the value of σ.
Let's calculate the best estimate using the given values:
For the first measurement:
σ1 = 2.3 days
For the second measurement:
σ2 = 1.5 days
Step 1:
w1 = 1/σ1^2 = 1/(2.3^2) ≈ 0.1949
w2 = 1/σ2^2 = 1/(1.5^2) ≈ 0.4444
Step 2:
w1 * t1 ≈ 0.1949 * 15.5 ≈ 3.0195
w2 * t2 ≈ 0.4444 * 16.2 ≈ 7.1993
Step 3:
W = w1 + w2 ≈ 0.1949 + 0.4444 ≈ 0.6393
Step 4:
T = (w1 * t1 + w2 * t2) / W ≈ (3.0195 + 7.1993) / 0.6393 ≈ 13.7421 days
Step 5:
σ = √(1 / W) ≈ √(1 / 0.6393) ≈ 1.3772 days
Therefore, the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.
To know more about half-life of a radioactive related question visit:
https://brainly.com/question/13979590
#SPJ11
find the differential of the function. t = v 3 uvw dt = du dv dw
The differential of the function t = v³ * uvw is dt = (v³ * w) du + (3v² * uvw + uvw) dv + (v³ * u) dw.
To find the differential of the function t = v³ * uvw, we'll first compute the total differential dt by taking partial derivatives with respect to u, v, and w, and then multiplying them by du, dv, and dw, respectively.
The partial derivatives are:
∂t/∂u = v³ * w
∂t/∂v = 3v² * uvw + uvw
∂t/∂w = v³ * u
Now, we multiply these partial derivatives by du, dv, and dw, respectively:
(∂t/∂u) du = (v³ * w) du
(∂t/∂v) dv = (3v² * uvw + uvw) dv
(∂t/∂w) dw = (v³ * u) dw
Finally, we sum these terms to find the total differential dt:
dt = (v³ * w) du + (3v² * uvw + uvw) dv + (v³ * u) dw
The complete question is:
"Find the differential of the function. Given that t = v³uvw, where t is a function of u, v, and w, and dt = du dv dw, express the differential in terms of the differentials du, dv, and dw."
Learn more about differential:
https://brainly.com/question/1164377
#SPJ11
why is the degree of the product different from the degree of the factors when multiplying monomials and binomials?
The degree of a polynomial is the highest exponent of its variable. When multiplying monomials and binomials, we add the exponents of the variables to get the degree of the resulting polynomial.
However, the degree of the product can be different from the degree of the factors because of the distributive property of multiplication.
When we multiply a monomial by a binomial, we need to distribute the monomial to each term of the binomial. This results in new terms that may have different degrees than the original terms. For example, when multiplying the monomial x^2 by the binomial (2x + 3), we get:
x²(2x + 3) = 2x³ + 3x²
The degree of the monomial x² is 2, and the degree of the binomial (2x + 3) is 1. However, the degree of the resulting polynomial 2x³ + 3x² is 3 because the term 2x³ has a higher degree than any of the original terms.
Similarly, when we multiply two binomials, we need to distribute each term of one binomial to each term of the other binomial. This can also result in new terms with different degrees than the original terms.
Therefore, the degree of the product can be different from the degree of the factors when multiplying monomials and binomials because of the distributive property of multiplication.
Learn more about monomials here brainly.com/question/9183135
#SPJ4
Answer this for brainilest and 30points (no links or internet answer or you will get flagged
7h = -2h+ 18
Add 2h to both sides
9h = 18
Divide both sides by 9
H = 2
Answer:
h=2
Step-by-step explanation:
Let's solve your equation step-by-step.
7h=−2h+18
Step 1: Add 2h to both sides.
7h+2h=−2h+18+2h
9h=18
Step 2: Divide both sides by 9.
9h /9 = 18 /9
brainliest?
Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees. What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155
Answer:
C, 105 Degrees
Step-by-step explanation:
So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.
The measure of angle O in this parallelogram is 105°.
The properties of a parallelogramThe opposite angles of a parallelogram are equal.The Opposite sides of the parallelogram are equal and parallel.The diagonals of the parallelogram bisect each other.The Sum of the angles = 360°
Solution
Because the properties says that opposite angles are equal.
Angle L = (x + 40)
angle O = (3 x)
Applying the first property
x+40+x+40+3x+3x = 360
collect the like termsx+x+3x+3x+40+40 = 360
8x+80 = 360
8x = 360-80
8x = 280
Divide through the equation by 8
x = 280/8
x = 35
The question wants us to find the value of angle O
O = 3x
O = 3*35
= 105
The value of angle O is equal to 105°
Read more on parallelograms here:
https://brainly.com/question/970600
3) (2 Marks) Find the range and codomain of the matrix transformation T A
, where A= \( {\left[\begin{array}{cc}1 & 2 \\ 1 & -2 \\ 0 & 1\end{array}\right] \). Is the result true if the functions are not linear? Justify your \( } \) answer.
T A can be seen as a linear transformation from R^2 to R^3.
To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:
T A (x) = A x
Therefore, T A can be seen as a linear transformation from R^2 to R^3.
To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:
A = (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])
The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].
To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.
If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.
Learn more about linear from
https://brainly.com/question/2030026
#SPJ11
1 kilogram= 1,000 1 pound = 16 ouncesDominick rode a horse on the beach that weighed 360 kilograms. About how many pounds did the horse weigh?
We are given the conversion factors from kilograms to grams and from pounds to ounces. We are asked to convert 360 kilograms into pounds. To do that, let's remember that 1 kg = 2.2 pounds. Therefore, to convert the measurement of 360 kilograms we multiply by the conversion factor in such a way that the unit we want to find is in the denominator, like this:
\(360\operatorname{kg}\times\frac{2.2\text{ pounds}}{1\text{ kg}}\)Solving the operation we get:
\(360\operatorname{kg}\times\frac{2.2pounds}{1\operatorname{kg}}=793.6pounds\)if x has a poisson distribution so that 3 p( x = 1 ) = p( x = 2),3p(x=1)=p(x=2), find p( x \geq 4)p(x≥4).
The probability that x is greater than or equal to 4 is 0.447.
If x has a Poisson distribution such that 3p(x=1) = p(x=2), we can use the Poisson probability formula to find p(x≥4).
First, we can use the fact that p(x=1)+p(x=2) = 1 to solve for p(x=1) and p(x=2).
We get p(x=1) = 3/10 and p(x=2) = 1/10.
Then, we can use the Poisson probability formula to find p(x≥4) = 1 - (p(x=0) + p(x=1) + p(x=2) + p(x=3)).
Substituting the values we found, we get p(x≥4) = 0.447. Therefore, the probability that x is greater than or equal to 4 is 0.447.
For more about probability:
https://brainly.com/question/30034780
#SPJ11
Can someone help me please?
I’ll give you brainliest ^^
The sample space that represents all possible buses and boats combinations is given by:
{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this problem, for each the bus and the boat, there are 3 outcomes, hence the cardinality of the sample space is given by:
3 x 3 = 9.
Considering that one letter from D, E and F, and one number for 1, 2 and 3 are chosen, the sample space is given by:
{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.
More can be learned about sample spaces at https://brainly.com/question/25861936
#SPJ1
Evaluate: -X - y when x = -12 and y = 2 A. 16 B. -10 C. -14 D. 10 O E. 14 please help
Answer:
- x - y
-(-12) -(2)
12-2
10 the answer is D
If a car goes 350 miles in 25 hours what is the average speed
Answer:
14
Step-by-step explanation:
Divide 350 by 25 to find the average speed.
350/25=14
Hope this helps; have a nice day c:
WILL MARK YOU BRAINLIEST
Answer:
64
Step-by-step explanation:
help 17-20 algebra 2
The index forms are solved to give:
17. 5x
18. 3x^2
19. 4
20. 2
What are index forms?Index forms are described as mathematical forms of writing numbers that are too small or too large in more convenient ways.
From the information given, we have that;
\(\sqrt{\frac{100x^6}{4x^4} }\)
Find the square root
10x³/2x²
Divide the values
5x
\(\sqrt{\frac{81x^8}{9x^4} }\)
Find the square root
9x⁴/3x²
Divide the values
3x²
\(\sqrt{\frac{64x^9}{4x^7} }\)
Find the square root
8/2√x⁹/x⁷
4
\(\sqrt{\frac{24x^5}{6x^3} }\)
√4x²
Find the square root
2
Learn about index forms at: https://brainly.com/question/15361818
#SPJ1
what is the value of x
Answer:
x=180-95-57 (sum of triangle)
or,x=28
Step-by-step explanation:
Answer:
x = 27
Step-by-step explanation:
solving similarities using equations:
→\(\frac{CD}{QD} = \frac{RD}{BD}\)
→ \(\frac{x}{39} = \frac{18+x}{26+39}\)
→ \(\frac{x}{39} = \frac{18+x}{65}\)
→ 65(x) = 39(18+x)
→ 65x = 702 + 39x
→ 65x - 39x = 702
→ 26x = 702
→ x = 27
For what value of x do the expressions 2x+3 and 3x−6 have the same value?
Evaluate the algebraic expression 3f + g,when f = 6, g = 8, h = 12 and j = 2. A. 30 B. 26 C. 17 D. 13
Answer: A.26
Step-by-step explanation:
= 3f+g
= 3 (6)+8
=26
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Time intervals = 14/7 = 2
Final Amount = 40(1/2)² = 10
if 15 out of the 200 patients admitted to a hospital remain longer than a week, how many of the 2800 admissions in a given year were relaeased within one week
Answer:
15 × 14 = 210 of the 2,800 admitted patients remained longer than a week, so 2,800 - 210 = 2,590 of those patients were released within one week.
There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?
20%
Hope this helps! :)
______________
ASAP PLZ HELP
A dolphin keeps up with a boat for a distance of 51 miles for 3 hours. What is the dolphin’s average speed?
Analyze the diagram below and complete the instructions that follow.
K
B
A
гс
F
E
Given that ZCFE ZCFA, mZCFB = 68°, and mZEFD= 62°, find the measure of ZAFD.
The measure of ZAFD is 50 degrees.
Based on the given information:
ZCFE is congruent to ZCFA.
mZCFB = 68°.
mZEFD = 62°.
To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.
Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.
Therefore, mZCFA = mZCFE.
Now, let's find the measure of angle ZCFE:
mZCFE = mZCFB + mZEFD (Angle Addition Postulate)
mZCFE = 68° + 62°
mZCFE = 130°
Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.
Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.
The sum of the angles in a quadrilateral is always 360°.
mZAFD + mZAFB + mZBFD + mZBFA = 360°
We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).
Therefore, we can rewrite the equation as:
mZAFD + 90° + 90° + mZBFA = 360°
Simplifying:
mZAFD + 180° + mZBFA = 360°
Rearranging the equation:
mZAFD + mZBFA = 360° - 180°
mZAFD + mZBFA = 180°
We know that mZBFA is equal to mZCFA, which is 130°.
Substituting the known values into the equation:
mZAFD + 130° = 180°
Subtracting 130° from both sides:
mZAFD = 180° - 130°
mZAFD = 50°
Therefore, the measure of ZAFD is 50 degrees.
for such more question on measure
https://brainly.com/question/25716982
#SPJ8
The final exam grade of a statistics class has a skewed distribution with mean of 81. 2 and standard deviation of 6. 95. If a random sample of 42 students selected from this class, then what is the probability that the average final exam grade of this sample is between 75 and 80?
The probability that the average final exam grade of the sample is between 75 and 80 is approximately 0.294, or 29.4%.
To solve this problem, we need to calculate the z-scores for the lower and upper bounds of the average final exam grade range, and then use the z-scores to find the corresponding probabilities from the standard normal distribution.
First, let's calculate the z-score for the lower bound:
z1 = (75 - 81.2) / (6.95 / sqrt(42))
z1 = -6.2 / (6.95 / sqrt(42))
z1 ≈ -2.512
Next, let's calculate the z-score for the upper bound:
z2 = (80 - 81.2) / (6.95 / sqrt(42))
z2 = -1.2 / (6.95 / sqrt(42))
z2 ≈ -0.528
Now, we can use the z-scores to find the corresponding probabilities using a standard normal distribution table or a calculator.
The probability that the average final exam grade of the sample is between 75 and 80 is equal to the probability of having a z-score between z1 and z2.
P(z1 < Z < z2) = P(-2.512 < Z < -0.528)
By looking up the probabilities corresponding to these z-scores from a standard normal distribution table or using a calculator, we find:
P(-2.512 < Z < -0.528) ≈ 0.294
Know more about probability here;
https://brainly.com/question/31828911
#SPJ11
what value is NOT located between these two numbers on the line?
Answer:
pi/0.25
Step-by-step explanation:
pi/0.25 = 12.5663