Answer:
[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]
Step-by-step explanation:
Given
[tex](\frac{-3}{4})^3[/tex]
Required
Evaluate
The expression can be represented as:
[tex](\frac{-3}{4})^3 = (\frac{-3}{4})*(\frac{-3}{4})*(\frac{-3}{4})[/tex]
So, we have:
[tex](\frac{-3}{4})^3 = \frac{-3*-3*-3}{4*4*4}[/tex]
[tex](\frac{-3}{4})^3 = \frac{-27}{64}[/tex]
Rewrite as:
[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]
Answer:
B -27/64
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x =48.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
PLEASE HELP !!!!! Which type of conic section is described by the following equation?
(y - 3)2/4^2- (x+2)^2/6^2=1
A. Circle
B. Parabola that opens up
C. Parabola that opens down
U O
D. Hyperbola opening left and right
E. Ellipse
E Hyperbola opening up and dow
Answer:
F
Step-by-step explanation:I just took the test
Draw graph for equation 0.25x+0.50y<3
a. 12.3
b. 8.1
c. 0.1
Answer:
a
Step-by-step explanation:
tan(39⁰)= opposite ÷ adjacent
0.8097= 10 ÷ x
X = 10 ÷ 0.8097
X = 12.3
Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4
Answer:
c = 1/4
-1-1 = -2
-3-5 = -8
Step-by-step explanation:
Which of the four graphs has the greatest standard deviation? please help me
Answer:
Standard deviation is how far away the values are from the mean.All of your graphs have normal distribution, meaning the mean is in the center.The more spread out your graph is, the greater the standard deviation.
So the option with the most spread out graph, which I think is A, can't see very clear.
Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula shows what Ronald paid after 7% sales tax was added?
A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))
What is the area of this figure
Answer:
247 yd²
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
2 rectangles and one triangle "at the top".
these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.
my approach is to pick the first rectangle to be the one extruding one to the right.
R1 = 11×5 = 55 yd²
the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top
R2 = 8 × (13+5) = 8×18 = 144 yd²
and the area of a triangle is
baseline × height / 2
we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.
so, we have
T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²
so, in total we have
F = 55 + 144 + 48 = 247 yd²
Intercept Form
Point (-3,4)
Slope 5/3
m= b=
Answer:
y = 5/3x + 9
Step-by-step explanation:
y = 5/3x + b
4 = 5/3(-3) + b
4 = -5 + b
9 = b
help me pllllllssssssssssssss
d, because the plastic has a difference of 2000 with respect to food
What is the square root of 538?
Answer:
23.1948270095
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 30 minutes to complete its route once and bus B takes 50 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
9:30 am
Step-by-step explanation:
We can make a chart and keep filling it in until we see the same time in both columns.
Bus A Bus B
7:00 7:00
7:30 7:50
8:00 8:40
8:30 9:30
9:00 10:20
9:30
Answer: 9:30 am
We can also use the least common multiple of 30 and 50.
We need to find the smallest number that is a multiple of both 30 and 50.
30 = 2 * 3 * 5
50 = 2 * 5^2
LCD = 2 * 3 * 5^2 = 150
The first time the buses will be at the depot together after 7:00 am is 150 minutes later. 150 minutes = 2 hours 30 minutes.
7:00 am + 2 hours and 30 minutes = 9:30 am
Answer: 9:30 am
Answer:
they never get back together bus b is always behind
Step-by-step explanation:
The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
will give brainlist
Answer:
y=0.3x-2
Step-by-step explanation:
first find the gradient
m=y2-y1/x2-x1
m=0-(-2)/6-0
m=0.3
then use this equation
y-y1=m(x-x1)
y-(-2)=0.3(x-0)
y+2=0.3x-0
y=0.3x-2
write additive inverse of a) 21/18 b) -2/8
Answer:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
Step-by-step explanation:
Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:
[tex]u+v = 0[/tex]
That is,
[tex]v = - u[/tex] (1)
Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?
City Zoo
Number of Keepers Number of Animals
12 42
Answer:
18
Step-by-step explanation:
42+12= 63
63/7=9
9*2=18
Answer:
18
Step-by-step explanation:
plato/edmentum
3,369,090 divided by 56
Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
The third National Health and Nutrition Examination Survey collected body fat percentage (BF%) and gender data from 13,601 subjects ages 20 to 80. The average BF% for the 6,580 men in the sample was 23.9, and this value was 35.0 for the 7,021 women. The standard error for the difference between the average men and women BF%s was 0.114. Do these data provide convincing evidence that men and women have different average BF%s. You may assume that the distribution of the point estimate is nearly norma
Answer:
Yes, the data provides convincing evidence that men and women have different average BF%s
Step-by-step explanation:
The given parameters are;
The number of the subjects ages 20 to 80 = 13,601
The body fat percentage, BF%, for the 6,580 men, [tex]\overline x_1[/tex] = 23.9
The body fat percentage, BF%, for the 7,021 women, [tex]\overline x_2[/tex] = 35.0
The standard error for the difference between the average men and women = 0.144
The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The test statistic = (35.0 - 23.9)/(0.114) = 97.368
Therefore, given that the z-test is larger than the critical-z, we reject the null hypothesis, H₀, therefore, there is convincing statistical evidence to suggest that men and women have different body average BF%
If Paul and Steve are both correct, how are the values of the two expressions related?
Answer:
The two answers would have to be equivalent
Step-by-step explanation: 6 30 8 13
Paul x + y = 30
Steve a + b = 30 are not the same but are equivalent
Their answers could be the same ratio
Paul 4x + 4y = 120
Steve x + y = 30 again not the same but are equivalent
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
The length of a rectangle is twice its width the perimiter is 60 ft find its area
Hello,
let's assume a=the length and b the width.
[tex]\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\[/tex]
PLEASE ANSWER ASAPPP
Answer:
the answer is 2035.75 cm³
Step-by-step explanation:
comment if you want explanation
solve the equation x + 5 = 12
Answer:
x = 7
Step-by-step explanation:
x + 5 = 12
Subtract 5 from both sides
5 - 5 cancels out
12 - 5 = 7
We're left with x = 7
I have a lot of algebra problems. Someone help me even with this one please!
Answer: Choice A
L = 65 - 15d; discrete
===============================================
Explanation:
He starts with 65 cm of bread. After the first day he has 65-15 = 50 cm left over. After the second day he has 65-15*2 = 35 cm left over, and so on.
In general, he has 65-15d centimeters left over after d number of days have elapsed. For example, if d = 3 days pass by, then he has 65-15d = 65-15*3 = 65-45 = 20 cm left over.
So that's why the equation we're after is L = 65-15d where d is the number of days, and L is the amount left over in cm.
The number of days is discrete because we're dealing with the set of nonnegative numbers {0,1,2,3,4,...}. We can't have d = 2.5 for instance.
Because the input variable d is discrete, this automatically means L is discrete as well. Consider a finite domain such as {0,1,2,3}. This finite domain would map to the finite range {65,50,35,20}. These two finite sets are sufficient to say we have a discrete function.
A discrete function leads to a discrete graph which is simply a set of points. You would not connect the dots to form a straight line (simply leave the points as separate islands).
# If two vectors whose direction ratios are 1,2,3 and -k,2,1 are perpendicular to each other then, a) k=7 b) k=4 c) k=3 O d) k=6 me especially since we had be 1 poir 82) I don't know why he turned friends for so long.
Answer:
(a)k=7
Step-by-step explanation:
We are given that
Two vectors whose direction ratios are 1,2,3 and -k,2,1.
Let
[tex]a_1=1,b_1=2,c_1=3[/tex]
[tex]a_2=-k,b_2=2,c_2=1[/tex]
We have to find the value of k.
We are given that two vectors are perpendicular to each other.
We know that two vectors are perpendicular to each other then
[tex]a_1a_2+b_1b_2+c_1c_2=0[/tex]
Substitute the values
[tex]1(-k)+2(2)+3(1)=0[/tex]
[tex]-k+4+3=0[/tex]
[tex]-k+7=0[/tex]
[tex]\implies k=7[/tex]
Hence, option a is correct.
Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?
Given:
Reese read twice as many pages Saturday than she read Sunday.
She read a total of 78 pages over the weekend.
To find:
The number of pages she read on Sunday.
Solution:
Let x be the number of pages she read on Sunday.
Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.
Total number of page she read over the weekend is:
[tex]Total=x+2x[/tex]
[tex]Total=3x[/tex]
She read a total of 78 pages over the weekend.
[tex]3x=78[/tex]
[tex]x=\dfrac{78}{3}[/tex]
[tex]x=26[/tex]
Therefore, Reese read 26 pages on Sunday.
what is 3 to the power of -2
Answer:
Step-by-step explanation:
To make a negative exponent positive, you have to put the term the exponent is on under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
A man and his wife share a lottery prize of $1 500 000 in the ratio of 41:34. What is the difference between the man's share and his wife's share
Answer:
$140,000
Step-by-step explanation:
Value of lottery = $1,500,000
Man's ratio = 41
Wife's ratio = 34
Total ratio = 41 + 34 = 75
Man's share = Man's ratio / Total ratio * Value of lottery
= 41/75 * $1,500,000
= 0.5466666666666 * $1,500,000
= $820,000
Wife's share = wife's ratio / total ratio * Value of lottery
= 34/75 * $1,500,000
= 0.4533333333333 * $1,500,000
= $680,000
Difference between the man's share and his wife's share
= Man's share - wife's share
= $820,000 - $680,000
= $140,000
help asap ---------------------------------------------------------
Answer:
Correct answer #1
Step-by-step explanation:
David is now 4 years more than twice the age of Henry. If Henry will be 18 in 3 years, how old was David 2 years ago?
Answer:
i think its 10.5
Step-by-step explanation:
Answer:
David was 32 two years ago
Step-by-step explanation:
D = 2H + 4
H = 15
D = 30+4
D = 34
David was 32 two years ago
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
