Answer:
6^6 = 6^2 x 6^4 = 46656
Step-by-step explanation:
6^16/6^2 = 78364164096 so doesn't equal 6^6
(6^2)^8 / 6^4 = 1679616 so doesn't equal 6^6
(6^4)^2 = 1679616 so doesn't equal 6^6
6^-1 x 6^9 = 1679616 so doesn't equal 6^6
6^-1 x 6^-8 = 9.92 so doesn't equal 6^6
Brainliest Oppurtunity, thanks.
Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)
The selling price of a $10,000 5-year bond will be less than $10,000 if the A. Coupon rate is less than the market interest rate B. Coupon rate is greater than the market interest rate C. Coupon rate is equal to the market interest rate D. Maturity date is less than 5 years
The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.
If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate
This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.
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help me. pls ...............
Answer:
y-6=-7(x-3)
Step-by-step explanation:
m=y2-y1/x2-x1
m=-8-6/5-3
m=-14/2
m=-7
y-y1=m(x-x1) point slope
Dice A and dice B have ten sides. What is the probability of rolling and odd number with both dice A and B?
The probability of rolling and odd number with both dice A and B is 1/4.
What is probability?Probability simply means the likelihood that an event will occur on a scenario.
Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.
Probability of odd number = 5/10 = 1/2
Probability of even number = 5/10 = 1/2
Probability of rolling both odd numbers will be:
= P(odd) × P(odd)
= 1/2 × 1/2
= 1/4
The probability is 1/4.
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It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.
Answer: 1407.5 hours
Step-by-step explanation:
To solve this problem, we first need to convert the time it takes Mercury to complete a full rotation into hours. We can do this by multiplying the number of days by 24 to get the number of hours, and then adding the number of hours and minutes to find the total number of hours. This gives us:
(58 days * 24 h/day) + 15 h + (30 min * 1 h/60 min)
1392 h + 15 h + 0.5 h
1407.5 h
Therefore, it takes Mercury approximately 1407.5 hours to complete a full rotation. This can also be written as 1407.5 hours/rotation or 1407.5 h/rotation.
Find the 8th term of the geometric sequence 4,-12,36
The 8th term of the geometric sequence \(4,-12, 36\) is \(-8748\).
How to find the 8th term of the geometric sequence?We must find common ratio by dividing the term by its preceding term. By dividing second term (-12) by the first term (4), this gives us:
= -12 / 4
= -3
So, the common ratio is -3.
The formula for the nth term of geometric sequence to find the 8th term is : an = a1 * r^(n-1) where an = nth term, a1 = first term, r = common ratio and n = term number
a8 = 4 * (-3)^(8-1)
a8 = 4 * (-3)^7
a8 = 4 * (-2187)
a8 = -8748.
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Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
<95141404393>
Theorem 6.6.3. Suppose ℓ∥m. Let P,Q, and R be points on m such that P∗Q∗R and let A,B, and C be the feet of the perpendiculars from P,Q, and R to ℓ. 2. If PQ∣AB, then PA>QB>RC.
If ℓ∥m, P ×Q ×R, and PQ∣AB, then PA > QB > RC according to Theorem 6.6.3.
Theorem 6.6.3: Suppose ℓ∥m. Let P, Q, and R be points on line m such that P∗Q∗R, and let A, B, and C be the feet of
the perpendiculars from P, Q, and R to line ℓ. If PQ∣AB, then PA > QB > RC.
Given that ℓ∥m, we know that the angles formed by the perpendiculars are equal.
So, ∠APQ ≅ ∠BQℓ and ∠AℓP ≅ ∠BℓQ.
Since PQ∣AB, we have that segment PQ is parallel to segment AB. By the Converse of the Corresponding Angles
Postulate, we can say that ∠PQR ≅ ∠ABC.
Now we have a pair of similar triangles: ΔPQR ~ ΔABC, because they have two pairs of congruent angles (angle-angle similarity).
From the similarity, we can set up the ratio: PA / QB = PQ / AB. Since PQ∣AB and PQ > AB, the ratio PA / QB > 1. Therefore, PA > QB.
Similarly, we can set up another ratio: QB / RC = QR / BC. Since P ×Q ×R, QR > BC, and the ratio QB / RC > 1.
Therefore, QB > RC.
Combining the inequalities, we get PA > QB > RC as stated in Theorem 6.6.3.
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Length and breadth of a rectangular field is 5 : 3. If the breadth of rectangle is 60m, find the length of the rectangle.
Answer:
5m
Step-by-step explanation:
Given data
Ratio of length to breadth is 5 : 3
hence in fraction form it is 5/3
the breadth of rectangle is 60m
let the length be x
So
5/3= x/3
cross multiply we have
5*3= 3x
15= 3x
divide both sides by 3
x= 15/3
x= 5m
Hence the length is 5m
American General offers a 9-year annuity with a guaranteed rate of 6.28% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $1500 annually over the 9 year period? How much should a customer pay for this annuity? (Round to the nearest cent)
You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.
To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.
The formula to calculate the present value of an annuity is:
PV = PMT × [1 - (1 + r)⁻ⁿ] / r
Where:
PV is the present value of the annuity (the amount you should pay initially)
PMT is the payment amount received annually ($1500 in this case)
r is the interest rate per period (6.28% or 0.0628)
n is the total number of periods (9 years)
Let's substitute the values into the formula:
PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628
Calculating this expression:
PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628
PV = $1500 × [1 - 0.575255] / 0.0628
PV = $1500 × 0.424745 / 0.0628
PV ≈ $10117.09
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Find the radian measure of all angles whose cosine is -0.89
(One of the answers is 3.62, but shouldn’t we add pi instead of minus 2pi) (I have a test tomorrow please answer if you know!)
Check the picture below.
so going on the 1st revolution from 0 to 2π, we get those two angles you see in the picture, the cosine is positive on I and IV Quadrants, whilst negative on the II and III Quadrants, so any angles with that negative cosine will be only on those two Quadrants.
when getting an angle or a trig function, make sure your calculator is in the correct mode, because plugging in cos(-0.89) in Degree mode, it's going to assume you mean to find the cosine of -0.89 Degrees, and same will happen the other way around, so make sure your mode is correct, so the input is understood correctly.
the cos⁻¹ function has a range of 0 to π, so any angles it's going to spit out will be on those Quadrants, we get the one in the III Quadrant in the picture by simply using the reference angle from the II Quadrant, the reference angle is about 0.47359 radians, so if we add that to π, we get that many radians.
now, if we want to include All revolutions around the circle, we can say
\(\approx ~~ \begin{cases} 2.668+2\pi n\\\\ 3.615+2\pi n \end{cases}\qquad n\in \mathbb{Z};n\geqslant 0\)
two functions a and b are described as follows function a: y=8x+3 function b:the rate of change is 1 and the y intercept is 4 how much more is the rate of change of function abthan the slope of function b 1 7 8 9
Answer:
7
Step-by-step explanation:
rate of change of function not necessary mean linear, it can be the slope of a tangent line.
a: y=8x+3 slope = 8
b: rate of change: 1
8-1=7
I wish this is true...
Simplify using the distributive property.
\( \frac{7}{6} (30 - 18)\)
14
35
56
I don't know
The answer is 14
I got 100% on the test
I hope this helps!
Proof that this answer is correct and not a false
Simplify (5.1)(5.12)4.
(5.1)6
(5.1)7
(5.1)8
(5.1)9
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
How to simplify the expression?The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
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4days : 2 weeks simplify
Answer:
2:7
Step-by-step explanation:
ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.
Answer:
2 : 7
Step-by-step explanation:
7 days = 1 week
y days = 2 weeks
\(\frac{1}{7} :\frac{2}{y}\)
1 × y = 2 × 7
y = 14
4 days : 14 days
4 = 2 × 2
14 = 2 × 7
GCF = 2
4 ÷ 2 = 2
14 ÷ 2 = 7
2 : 7
Consider the sample regression equation: y = 12 + 2x1 - 6x2 + 6x3 + 2x4 When X1 increases 2 units and x2 increases 1 unit, while x3 and X4 remain unchanged, what change would you expect in the predicted y? Decrease by 10 O Increase by 10 O Decrease by 2 O No change in the predicted y O Increase by 2
The change the you would expect in the predicted y is C. Decrease by 2
How to explain the informationIt should be noted that to determine the change in the predicted y, we need to calculate the effect of the change in x1 and x2 on y, while holding x3 and x4 constant.
The coefficients of x1 and x2 are 2 and -6, respectively. Therefore, increasing x1 by 2 units will result in a change in y of 2(2) = 4 units, while increasing x2 by 1 unit will result in a change in y of -6(1) = -6 units. Since x3 and x4 remain unchanged, they have no effect on the change in y.
Therefore, the predicted y will decrease by 2 units when x1 increases 2 units and x2 increases 1 unit, while x3 and x4 remain unchanged.
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What does T+24+15 equal
find median :
the hight of 10 students are given ➡ 155,160,145,149,150,147,152,184,144,148.
Here let's use python to find our median.(Console attached)
Spare way:-
Let's use statistics
Here n is even\(\\ \sf\longmapsto Median=\dfrac{n}{2}+\dfrac{n+1}{2}\)
\(\\ \sf\longmapsto Median=\dfrac{10}{2}+\dfrac{10+1}{2}\)
\(\\ \sf\longmapsto Median=5th+6th/2\)
Order from largest to smallest
184,160,155,152,150,149,148,147,145,144\(\\ \sf\longmapsto Median=\dfrac{150+149}{2}\)
\(\\ \sf\longmapsto 149.5\)
Please help! Lots of points and brainliest!
4 bracelets and 3 Necklaces are made by the Jeweler.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us represent Bracelet as B and Necklace as N
B+N=7..(1)
7B+18N=82..(2)
From equation 1,
B=7-N
Now plug in B value in equation 2
7(7-N)+18N=82
49-7N+18N=82
49+11N=82
Subtract 49 on both sides
11N=33
N=3
Now we have to find B
B+N=7
B+3=7
Subtract 3 on both sides
B=4
Hence, 4 bracelets and 3 Necklaces are made by the Jeweler.
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#38)
A recipe for fruit salad includes
플
cup of grapes for 4 servings. How many cups of grapes are
needed for 30 servings of this fruit salad?
F 10 c
G 40 c
H 2 / C
7/1/2
The number of cups of grapes required is 2 1/2 cups
Unitary method:To solve the given problem we use the Unitary method. This is a mathematical technique used to solve problems involving proportionality.
It involves finding the value of one unit and then using that value to calculate the value of other units.
Here we will calculate the number of cups for 1 serving from that we will calculate the number of cups for 30 servings.
Here we have
A recipe for fruit salad includes 1/3 cup of grapes for 4 servings.
The amount of grapes for 1 cup = (1/3)/4 = 1/12 cups
Here we need to find, the number of cups of grapes for 30 servings
This can be calculated as follows
Number of cups of grapes for 30 servings = 30(1/12) cups
= 10/4 = 5/2 = 2 1/2
Therefore,
The number of cups of grapes required is 2 1/2 cups
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Solve for the value of x in the diagram below. After finding the x value identify for the other angles measures in the
diagram below. Make sure to identify your angle with its correct measure. Please show your work for full credit.
The value of x is 120° .
Given,
In triangle HGF,
HF and FG and are equal in length and ∠G is 60° .
Now,
If the sides are equal there angles will be equal.
So,
FG and FH are equal thus angle ∠H will be equal to 60° .
Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .
Now,
∠H and x° will form linear pair.
∠H + x° = 180°
x = 120° .
Hence all the angles of the triangle are obtained.
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Using the graphical method, solve the simultaneous equations: x + y = 3, 3x + y = 5
Answer: (1,2)
Step-by-step explanation:
1)
x+y=3
y=-x+3
x | 0 | 3 |
y | 3 | 0 |
2)
3x+y=5
y=-3x+5
x | 0 | 2 |
y | 5 | -1 |
what is the measure of angle 2
Answer:142º
Step-by-step explanation:
Because they are vertical angles.
Jerry's seed palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a packet with 20 lima bean seeds from jerry's seed palace and plants them in her garden. What is the probability that exactly 14 seeds will germinate?.
The probability that exactly 14 seeds will germinate is 0.109
According to the company, 80% of lima bean seeds germinate.
Callie purchases 20 lima beans.
To determine: the likelihood that exactly 14 seeds will germinate.
We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)
Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.
Thus X ~ B(20,0.8)
The probability of X = x is given by:
P(X=x) = 20\(C_{x}\)\((0.8)^{x}\)\((1-0.8)^{20-x}\)
Thus
P(X=14) = 20\(C_{14}\)\((0.8)^{14}\)\((1-0.8)^{20-14}\)
P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109
The probability that exactly 14 seeds will germinate is 0.109
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hello! pls help if you can, it will very much be appreciated T-T
Answer:
download algemator then you can find the answer
I need help with this one
Answer:
B
Step-by-step explanation:
if you look closely, you can see that the side of it goes up 2, then 2, then 1.
Answer:
The one on the right
Step-by-step explanation:
f(t)=3-5t find the slope of the graph of the function at the given point.
The slope for the function f(t) = 3 - 3/5t at point (3/5, 2) is 5/3.
What is slope?
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
The given function is - f(t) = 3 - 3/5t.
The data points are - (3/5, 2)
Rewrite the function -
f(t) = 3 - 3/5 t^-1
Differentiate with respect to t. Use the difference rule.
d/dt (3) - d/dt (3/5 t^-1)
Use the constant rule and the constant multiple rule.
0 - 3/5 d/dt (t^-1)
Use the power rule.
-3/5(-1)t^(-1 - 1)
3/5t^-2
Now plug in 3/5 for t on the derivative in order to find the slope at point (3/5, 2).
3/5(3/5)^-2
3/5(5/3)^2
3/5 × 25/9
5/3
Therefore, the slope value is 5/3.
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Find the slope of the graph of the function at the given point.
Function Point f(t) = 3 - 3/5t (3/5, 2)
Approximately how many seconds would it take for the Mississippi River( 16,790 cubic meters per second) to fill the volume of the Gulf of Mexico(2,434,000,000,000,000)? Choice A : 1 *10^9 Choice B : 1* 10^10 Choice C : 1 * 10^11
Answer:
1 * 10^11
Step-by-step explanation:
Take the gulf of mexico and divide by the rate to get the number of seconds
2,434,000,000,000,000 / 16790
Change each to scientific notation
2 * 10 ^15/ 1.6 *10^ 4
Rounding
2 * 10^15 / 2 * 10^4
Dividing the numbers 2/2 =1
Dividing the exponents means subtracting the powers = 10 ^(15-4) = 10 ^1
1 * 10^11
what is the area of this figure
Answer:
174.5m
Step-by-step explanation:
So we have to break the shapes down to triangle, rectangle and the small rectangle
Area of rectangle=WxL
Area of triangle= (BxH)÷2
triangle=
(23x11)÷2
=253÷2
=126.5m
rectangle=
9x19
=28m
square#2(the small one)=
5x4
=20m
All:
20+28+126.5
=174.5m