Answer:
it's (2a)^6
Step-by-step explanation:
so first you need to write 64a^6 in exponential form simplifying it to 2^6a^6
then multiply the bases which gives you (2a)^6
sorry if I didn't explain it very well but I hope I helped!
Answer:
[tex]\sqrt{64a^{6} } = 8a^{3}[/tex]
8*8 = 64
a^3*a63 = a^6
Step-by-step explanation:
what is the answer to (x+1)(3x+2)
Please help!!! ***This is multiple choice!
Answer:
0.6
Step-by-step explanation:
A probability is the likelihood of an event occurring. A probability function is a function in which at any point, its probability value can be estimated. The integral of the probability function is always ≤ 1
To find the probability that x = 2 or 3, we simply add their respective individual probabilities, therefore:
P(X = 2 or 3) = P(X = 2) + P(X = 3) = P(2) + P(3) = 0.5 + 0.1 = 0.6.
P(X = 2 or 3) = 6
when a watch is sold at ksh.126 a loss of x% is made if sold at ksh.154 aprofit of x%is realized .find the buying price
Answer:
ksh 140.
Step-by-step explanation:
when a watch is sold at ksh.126 a loss of x%. This can be summarised as follow:
Selling price (Sp) = ksh 126
Percentage loss = x%
Cost price (Cp) =?
Percentage loss = Cp – Sp/Cp x 100
x% = Cp – 126/Cp .......(1)
if sold at ksh.154 a profit of x% is realized. This can be summarised as follow:
Selling price (Sp) = ksh 154
Percentage gain = x%
Cost price (Cp) =?
Percentage gain = Sp – Cp/Cp x 100
x% = 154 – Cp/Cp..... (2)
Equating equation 1 and 2, we have:
x% = Cp – 126/Cp .......(1)
x% = 154 – Cp/Cp..... (2)
Cp – 126/Cp = 154 – Cp/Cp
Cross multiply
Cp(Cp – 126) = Cp(154 – Cp)
Cancel out Cp
Cp – 126 = 154 – Cp
Collect like terms
Cp + Cp = 154 + 126
2Cp = 280
Divide both side by 2
Cp = 280/2
Cp = 140
Therefore, the cost price otherwise known as the buying price is ksh 140.
A ship travels due north for 100 miles from point C to point A. From point A the ship travels to point B at 60° east of north. From point B, the ship returns to point C heading 45° west of south. What approximate distance did the ship travel from point A to point B? How far does it travel in total?
Answer:
AandB=80miles
Total=240miles
Step-by-step explanation:
Draw the figure first indicating the figures then find the distance each degrees then find the total
The distance ship travels from A to B is 273.2 miles and total distance covered by ship is 707.82 miles.
What is laws of sines?The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.
Given distance from C to A = 100 miles north
From B to A ship travels 60° east of north,
and From B to C 45° west of south,
the figure for problem is attached,
from figure we can calculate the angles of A, B and C
so ∠A makes supplementary with 60°
∠A + 60° = 180°
∠A = 120°
for ∠B we need to draw an imaginary perpendicular on the line extending from A, we get
∠B + 45° + 30° = 90° (30° is angle of imaginary right triangle)
∠B = 90 - 75 = 15°
and ∠C can be found by,
∠A + ∠B + ∠C = 180°
∠C = 180 - 15 - 120
∠C = 45°
now use sine formula for triangles,
sinA/a = sinB/b = sinC/c
where A, B and C are angles of triangle and a, b and c are length of opposite side of angle A, B and C respectively.
a = BC, b = AC, and c = AB
so
sinA/BC = sinB/AC = sinC/AB
we have AC = 100 miles
substitute the values
sinC/AB = sinB/AC
sin(45)/AB = sin(15)/100
AB = 100/(√2sin(15))
AB = 100/0.3659
AB = 273.298 miles
and sinA/BC = sinB/AC
BC = AC sinA/sinB
BC = 100(sin 120/sin15)
BC = 100(0.866/0.2588)
BC = 100 x 3.3462
BC = 334.62 miles
total distance = AB + BC + AC
total distance = 334.62 + 273.2 + 100
total distance = 707.82 miles
Hence the distance from A to B is 273.2 miles and total distance is 707.82 miles.
Learn more about laws of sines;
https://brainly.com/question/17289163
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What is the sum of the geometric series below?
3+1+1/3+1/9+1/27
Answer:
The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.
Step-by-step explanation:
Answer:
Step-by-step explanation:
r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3
a =term 1 = 3
n = 5
[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]
[tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]
solve 2<2x+4<10 for x
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your inequality step-by-step.
[tex]2<2x+4<10[/tex]
[tex]2 + -4 < 2x + 4 + -4 < 10 + -4[/tex] (Add -4 to all parts)
[tex]-2 < 2x < 6[/tex]
[tex]\frac{-2}{2} < \frac{2x}{2} < \frac{6}{2}[/tex] (Divide all parts by 2)
[tex]-1 < x < 3[/tex]
So the answer is : [tex]-1 < x < 3[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
select the shape of the graph of this two variable equation. y=4x^(2)-1
Answer:
The highest power of the equation is 2, since the equation is y = 4x^2 - 1. That means that the graph is a parabola. And because the 4 is positive, the parabola curves into a smile.
You can use the Math is Fun Function and Calculator to graph the parabola.
Hope this helps!
) Martha went to the store with $75.00. She bought 3 pairs of socks for $4.00 each, she bought 2 shirts for $20.00 each, and she bought a skirt for $21.00. How much money did she have left?
Answer:
She had $2.00 left.
Step-by-step explanation:
PEMDAS
$75 - [(3 x $4) + (2 x $20) + $21 ]
$75 - [ $12 + $40 + $21]
$75 - [ $52 + $21]
$75 - $73
$2
Math models helpppp plss if you know about math models answer this pls
Answer:
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.
The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are true? The distribution of the sample mean is approximately Normal. The standard deviation is equal to that of the population. The distribution of the population is exactly Normal. The distribution is biased. A I and II B I only C II and III D I, III, and IV E II only
Answer:
The correct option is;
B. I only
Step-by-step explanation:
The central limit theorem states that when adequately large random samples are taken from a population that has a mean, μ, and standard deviation, σ, the distributions of the sample means of individual samples taken will be more or less (approximately) normally distributed
The central limit theorem is correct for both normal and skewed populations such that estimates can be made about the population mean based on available sample mean information.
Answer:
II only
Step-by-step explanation:
I got the answer from Chegg, took the test, and got it right! :)
which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27
Answer:
5/3 x 5/3 x 5/3
125/27
5^3/3^3
3 x (5/3)
Step-by-step explanation:
(5/3)^3 = 5×5×5/3×3×3 = 125/27.
Is the relation a function? Explain
Hi there!
»»————- ★ ————-««
I believe your answer is:
No, it is not a function.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
If we preform a vertical line test on the graph, then the line would pass the relation multiple times. This means that it is not a function. See the picture attached.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the common ratio of the geometric sequence: 3,4,
16/3,...
A.1
B.3/4
C.4/3
D.-1
Answer:
C
Step-by-step explanation:
The common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C
Answer:
C)
Step-by-step explanation:
Geometric Sequence:
3, 4 , [tex]\frac{16}{3}[/tex]......
Common ratio = [tex]\frac{second term}{first term}[/tex]
= [tex]\frac{4}{3}[/tex]
In a previous poll, % of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the significance level.
Answer:
We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
Step-by-step explanation:
The complete question is: In a previous poll, 46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 480 of 1081 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the [tex]\alpha[/tex] = 0.10 significance level.
Let p = population proportion of families with children under the age of 18 who eat dinner together seven nights a week.
So, Null Hypothesis, : p 46% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remains same}
Alternate Hypothesis, : p < 46% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of families = [tex]\frac{480}{1081}[/tex] = 0.44
n = sample of adults with children under the age of 18 = 1081
So, the test statistics =
= -1.32
The value of z-statistics is -1.32.
Also, the P-value of the test statistics is given by;
P-value = P(Z < -1.32) = 1 - P(Z [tex]\leq[/tex] 1.32)
= 1 - 0.9066 = 0.0934
Since the P-value of our test statistics is less than the level of significance as 0.0934 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.
Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
Someone pls help & at least try to show a little work . I will be marking someone brainliest ! & thank you sm i appreciate you !
Answer:
4+7x=32
7x=32-4
7x=28
x=4
Step-by-step explanation:
Answer:
This is how I calculated it.
If the total is $912
And the equipment costs $612.
I did $912- 612= $300 (There's only $300 remaining after purchasing the equipment)
Each uniform costs $25
So I did $300:25= 12
The School purchased 12 uniforms.
Have a nice day.
If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.
A. 9 B. 8 C. 7 D. 5
So our set of numbers is 5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5 does equal 7 so therefore A is your answer
Can someone answer this pls
Answer:
Domain is [tex]x \ge d[/tex]
You'll check the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d". So you'll have 3 boxes checked.
=======================================================
Explanation:
We cannot have a negative number under the square root, and get some real number output. For example, the result of [tex]\sqrt{-4}[/tex] isn't a real number.
That means we need to have the "x-d" under the square root to be 0 or larger.
[tex]x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d[/tex]
The domain is [tex]x \ge d[/tex] telling us that x = d is the smallest x value we can plug in
So that's why we check off the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d" as shown below.
Find each rate and unit rate.
420 miles in 7 hours
Answer:
60 miles per hour.
Step-by-step explanation:
420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.
Hope this helps!
Answer:
60 miles / hour
Step-by-step explanation:
The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.
miles/hours
We know it is 420 miles in 7 hours.
420 miles / 7 hours
Divide 420 by 7
420/7=60
60 miles/ hour
The unit rate is 60 miles per hour.
In a right triangle ABC , C is the right angle What does sin B equal
Answer:
The answer is......
COS A
The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4. Using the given data, find the mean, median, and mode for this sample. A. mean: 10, median: 8, mode: none B. mean: none, median: 8, mode: 10 C. mean: 8, median: 10, mode: none D. mean: 14, median: 10, mode: 8
Answer: A. mean: 10, median: 8, mode: none
Step-by-step explanation:
Given : The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4.
First we arrange it order.
3, 4, 5, 8, 11, 17, 22
Mean = (Sum of observations) ÷ (Number of observations)
Number of observations = 7
Sum of observations = 3+4+5+8+11+17+22 =70
Mean = 70 ÷7 = 10
Median = Middle-most value
= 8
Mode = Most repeatted value
= none
Hence, the mean, median, and mode for this sample = A. mean: 10, median: 8, mode: none
Describe fully the single transformation that takes shape A to shape B.
It is a ......
angle ...... degress clockwise
about the point.....
Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)
Step-by-step explanation:
Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.
find the area of quadrilateral ABCD.
Answer:
14.89 units²Step-by-step explanation:
[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]
We can use Heron's formula to calculate area of triangles:
[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex] where:
a, b, c - sides of triangle
s - semi-perimetr of triangle {(a+b+c):2}
ΔACD:
a = 4.39 , b = 3.42 , c = 4.57
s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19
[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]
ΔACD:
a = 5.44 , b = 7.84 , c = 3.42
s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]
[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]
1+2+6+1+4+45+7474747448489
Answer:
7474747448548
Step-by-step explanation:
I hope this helps
answer for brainiest
Answer:
Hello
answer :B and C
Step-by-step explanation:
√25=5 is an integer
b) is not an integer
c) is not an integer=0.75
d) is an integer
In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia
Answer:
28
Step-by-step explanation:
x = medals won by Russia
y = medals won by China
z = medals won by United States
Write a system of equations:
x + y + z = 96
z = y + 4
x + z = 2y
Substitute the second equation into the first and third:
x + y + y + 4 = 96
x + y + 4 = 2y
Simplify:
x + 2y = 92
x + 4 = y
Substitute for y:
x + 2(x + 4) = 92
x + 2x + 8 = 92
3x = 84
x = 28
Russia won 28 medals.
Which means China won 32 medals and the US won 36 medals.
Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5
Answer:
√100
Step-by-step explanation:
Given the following numbers: √220, -10, √100, 11.5,
Let's arrange the numbers from the largest to the smallest (in descending order).
Note: √220 ≈ 14.8
√100 = 10
From the largest to the smallest number, we have: √220, 11.5, √100, -10
Therefore, the number in the third position is √100
NEED HELP ASAP WILL MARK BRAINLIEST
Answer: answer one is hard to read Answer 2: 0.0020661157
Step-by-step explanation:
Answer:
1. 2.5% of 14000= 350
2. 27.5% of 1760= 484
can some1 help me out with this problem
Answer:
see explanation
Step-by-step explanation:
Compare the coordinates of corresponding vertices.
C(7, - 2 ) → C'(- 3, 7 )
x- direction 7 → - 3 , that is - 10 of a shift
y- direction - 2 → 7, that is + 9 of a shift
Thus the translation rule is
(x, y ) → (x - 10, y + 9 )
HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
Thank you!!
Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).