Answers
Answer:
B; {x|x<-8}
Step-by-step explanation:
Related Questions
5. Refer to the image in question #2. Determine whether the following
statement is true or false, "If the front base edge of the rectangular prism is
decreased by 1 inch, it will hold more than the triangular prism."*
True
False
Answers
Let T: R^3 --> R^3 be a linear transformation. Let {v1, v2, v3} be a set of linearly dependent vectors in R^3. Show that the set {T(v1), T(v2), T(v3)} is also linearly dependent.
Answers
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Evaluate each geometric
series described
3 + 6 +12 + 24 n=7
Answers
1. 21+24n= 7
2. 24n= 7 - 21
3. 24n= -14
Answ: n= -7/12
which number is located between 1.2 and 1.4 on the number line
Answers
Answer:1.3
Step-by-step explanation:
Answer:
1.3
Step-by-step explanation:
a number between 2 and 4 is 3
Jasmine wrote that 4+2.6=3. Use the drop-down menus to explain why 3 is incorrect.
Answers
Answer:
It is incorrect because 4+2.6=6.6
Answer:
You have to align the decimal points. Imagine 4 as 4.0 and add
4.0
+ 2.6
_____
6.6
if you misalign the decimal points then your answer is wrong.
If it was 4.001+2.6 you would still have to align like shown below
4.001
+2.6
_____
6.601
The decimal points have to be aligned.
If you commented the dropboxes I could help with them.
Hope this helps
Step-by-step explanation:
What is the fractionation of X2 - 6X + 5
Answers
Answer:
(x -1)(x -5)
Step-by-step explanation:
We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...
x^2 -6x +5 = (x -1)(x -5)
_____
The product of factors will be ...
(x +a)(x +b) = x^2 +(a+b)x +ab
So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).
You roll two dice. How many ways can you
roll a sum of 8 or a sum of 10?
Answers
Answer:
5 different ways
Step-by-step explanation:
for the 8
2 and 6
3 and 5
4 and 4
for then tens
5 and 5
4 and 6
The picture shows a cement bag of weight Fg hanging from a rope which itself is supported by two other ropes attached to a ceiling. The latter two ropes make an angle θ1 and θ2 with the ceiling. Determine the tension in each rope. Use the angle addition identity to simplify your result: sin(α ± β) = sin α cos β ± cos α sin β
Answers
Answer:
[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]
Step-by-step explanation:
From the free body diagram attached below; we will see that
T₃ = Fg ------ (1)
Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero
Then;
[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]
[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]
Also;
[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]
[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex] ---- (3)
From equation (2):
[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]
Replacing the above value for T₂ into equation 3; we have
[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]
[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]
[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex] ---- (4)
Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B
So ; equation 4 can now be:
[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex] --- (5)
replacing equation (1) into equation (5) ; we have:
[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]
Hence; the tension in the string is:
[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]
Which expressions are equivalent to 7.7.7.7.7.7 ?
Answers
Answer:
1.84877
Step-by-step explanation:
tnvvvvvvvvvvv4kvjk5nvj5tnnjt5
Answer:
A and C
Step-by-step explanation:
The states that dropped out of the Union, became the __________________ States of America 58 POINTS!!!
Answers
Answer:
Confederate
Step-by-step explanation:
During the time that led up to the conflict known as the Civil War of America, the major cause of tension was slavery. Southern plantation owners and farmers fiercely advocated slavery because they helped with the harvest of crops and the overall southern economy. The northerners, however, resisted slavery, saying it was immorally and inhumanely wrong.
At the culmination of this tension, many southern states, led by Jefferson Davis (who later became the "president" of the Confederate states), decided to secede from the Union (break away) and establish their own entity, which they called the "Confederate States of America".
She used 25 equally sized stones to make a path that is 12 feet long. How long is each stone
Answers
Answer:
The length of each stone is
L = 12/25 = 0.48 ft
Hope this helps!
:)
Each stone measures 0.48 feet.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, the number of stones is 25 and it is used to construct 12 feet long then measure of each stone =12/25
=0.48 feet
Hence, Each stone measures 0.48 feet.
Learn more about the unitary method here:
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Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.
Write a probability model for this experiment, and use the probability model to predict how many times Stacy would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
Answers
Answer:
Hence, Stacy will spin 6, 8.33 times out of her n = 50 attempts.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.
We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have number of times of having a 6, which is 8.33.
Simplify (-2x^3)2•y•y^9
Answers
-2x^3 • 2 = 4 (because 2•2 is 4, they don’t share the same variable so you just multiply the base)
y^9 • y^1 (9+1=10)
-4x^3 y^10
Simplify (-2x^3)^2 •y•y^9 Answer 4x^6y^10
Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the event that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A1)= .95, P(A2) = .98, and P(A3) = .80.a. What is the probability that all three components function properly throughout the warranty period?b. What is the probability that at least one component needs service during the warranty period?c. What is the probability that all three components need service during the warranty period?
Answers
Answer:
that is alot the prob. is 20
Step-by-step explanation:
the angle measurements in the diagram are represented by the following expressions
Answers
Answer:
x = 12
∠A = 144
Step-by-step explanation:
+ We have: ∠A = ∠C (alternate interior)
∠D = ∠C ( vertically opposite angles)
=> ∠A = ∠C (because = ∠C)
=> 10x + 24 = 6x + 72
=> 10x - 6x = 72 - 24
4x = 48
x = 12
+ ∠A = 10x + 24
∠A = 10 x 12 + 24
∠A = 144
Carla Ridley is a high school algebra teacher. Her annual salary is $38,625.00. If she receives a pay check every month of the year, what is her monthly salary?
Answers
Answer:
3218.75 a month
Step-by-step explanation:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
the answer is either x=√3+5 or -√ 3+5
Step-by-step explanation:
split it into 2 equations
Answer:
(x-5)(x-5) =3
X^2 -5x -5x +25 = 3
x^2 -10x +22 = 0
x1 = (-b + sqrt(b^2 - 4ac))/2a
a=1
b=-10
c= 22
x1 = (10 +sqrt((-10)^2- 4(1)(22))/2(1)
x1 = (10 + sqrt(100-88))/2
x1= (10 + sqrt(22))/2
x1= (10 + sqrt(4) x sqrt(3))/2
x1=(10 + 2 x sqrt(3))/2
x1 =5 +sqrt(3)
x2 = (-b - sqrt(b^2 - 4ac))/2a
x2 = 5 - sqrt(3)
Answer is C
Step-by-step explanation:
According to the Florida Agency for Workforce, the monthly average number of unemployment claims in a certain county is given by ????????(tt) = 24.31tt2 − 276.58tt + 2035, where t is the number of years after 1990. a) During what years did the number of claims decrease? b) Find the relative extrema and interpret it.
Answers
Answer:
a) The number of claims decrease from 1990 to 1996.
b) The relative extrema is a minimum and happens approximately in 1996 (t=5.688). This means the moment when the number of claims stop decreasing and start to increase.
Step-by-step explanation:
The monthly average number of unemployment claims in a certain county is given by:
[tex]C(t)=24.31t^2-276.58t+2035[/tex]
With t: number of years after 1990.
We have to determine in what years the number of claims decrease and the relative extreme value.
We can find this by analizing the first derivative.
When the first derivative is equal to zero, this indicates an extreme value, which can be a maximum or minimum.
When the first derivative is positive, it indicates that the function is increasing. On the contrary, when the first derivative is negative, it indicates that the function is decreasing.
The first derivative is:
[tex]\dfrac{dC}{dt}=24.31(2t)-276.58(1)+0\\\\\\\dfrac{dC}{dt}=48.62t-276.58[/tex]
Then, we can calculate the extreme value:
[tex]\dfrac{dC}{dt}=48.62t-276.58=0\\\\\\48.62t=276.58\\\\\\t=\dfrac{276.58}{48.62}=5.688\approx 6[/tex]
This extreme value happens for t=6 (year 1996).
If we calculate the value of the first derivative for t=5, that is previous to the extreme value, we can find if the function was increasing or decreasing:
[tex]\dfrac{dC}{dt}(5)=48.62*5-276.58=243.10-276.58=-33.48<0[/tex]
As the value is negative, we know that the number of claims was decreasing from t=0 to t=6 (from 1990 to 1996), and then reach a minimum and start to increase from them (from 1996 onwards).
A dietician believes that people who eat a high-fiber cereal as part of their breakfast will consume, on average, fewer calories at lunch than people who do not eat a high-fiber cereal as part of their breakfast. To test this claim, he measured the lunchtime calorie intake of 49 adults who did eat a high-fiber cereal for breakfast on a given day (group 1). For those individuals, the average number of calories consumed at lunch was 609.86, with a standard deviation of 55.96 calories. He also measured the lunchtime calorie intake of 78 adults who did not eat a high-fiber cereal for breakfast on a given day (group 2). For those individuals, the average number of calories consumed at lunch was 641.02, with a standard deviation of 109.14 calories. The dietician wishes to test this claim at the 5% significance level.
If Welch's two-sample test for equality of means is used, then what is the value of the test statistic tobs, rounded to two decimal places?
Answers
Answer:
The calculated value Z = 1.8368 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
The samples have been drawn from the same Population
Step-by-step explanation:
Step(i):-
Given first sample size 'n₁' = 49
Mean of the first sample 'x₁⁻ = 609.86
Standard deviation of the sample S₁ = 55.96 calories
Given first sample size 'n₂' = 78
Mean of the first sample 'x₂⁻ = 641.02
Standard deviation of the sample S₂ = 109.14 calories
Step(ii):-
Null hypothesis : H₀: x₁⁻ = x₂⁻
Alternative Hypothesis : H₁: x₁⁻ ≠ x₂⁻
Level of significance ∝ = 0.05
Test statistic
[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]
where
[tex]S.D^{2} = \frac{n_{1} S^2_{1}+ n_{2} S^2_{2} }{n_{1} + n_{2} -2}[/tex]
[tex]= \frac{49 X (55.96)^2+ 78X(109.14)^2 }{49 + 78 }[/tex]
σ² = 8660.357
Step(iii):-
Test statistic
[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]
[tex]= \frac{ 609.86-641.02 }{\sqrt{8660.357(\frac{1}{49 } }+\frac{1}{78 } ) }[/tex]
[tex]Z = \frac{-31.16}{16.9638} = -1.8368[/tex]
|Z| = |-1.8368| = 1.8368
The tabulated value Z₀.₉₅ = 1.96
The calculated value = 1.8368 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
Final answer:-
The samples have been drawn from the same Population
a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?
Answers
Answer: 32
Step-by-step explanation:
All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)
Answer:
The answer is 32 and the next one is C, 24x+32.
Step-by-step explanation:
A G.P has a common ratio of 2 find the value of 'n' for which the sum 2n terms is 33 times the sum of n?
Answers
n
= na.
(ii)When the numerical value of r is less than 1 (i.e., - 1 < r < 1), then the formula Sn
n
= a(1−rn)(1−r)
(
1
−
r
n
)
(
1
−
r
)
is used.
(iii) When the numerical value of r is greater than 1 (i.e., r > 1 or, r < -1) then the formula Sn
n
= a(rn−1)(r−1)
(
r
n
−
1
)
(
r
−
1
)
is used.
(iv) When r = 1, then Sn
n
= a + a + a + a + a + .................... to n terms = na.
(v) If l is the last term of the Geometric Progression, then l = arn−1
n
−
1
.
Therefore, Sn
n
= a(1−rn1−r
1
−
r
n
1
−
r
) = (a−arn1−r
a
−
a
r
n
1
−
r
) = a−(arn−1)r(1−r)
a
−
(
a
r
n
−
1
)
r
(
1
−
r
)
= a−lr1−r
a
−
l
r
1
−
r
Thus, Sn
n
= a−lr1−r
a
−
l
r
1
−
r
Or, Sn
n
= lr−ar−1
l
r
−
a
r
−
1
, r ≠ 1.
Determine two pairs of polar coordinates for (4,4) when 0° < θ < 360°
a(4√2, 45°), (-4√2, 225°)
b(4√2, 315°), (-4√2, 135°)
c(4√2, 135°), (-4√2, 315°)
d(4√2, 225°), (-4√2, 45°)
Answers
Answer: option a.
Step-by-step explanation:
In polar coordinates we have that:
x = r*cos( θ)
y = r*sin( θ)
we know that x = 4 and y = 4. now let's analyze the options:
a) x = 4√2*cos(45°) = 4 nice.
y = -4√2*sin(225°) = 4 nice
Option a is correct
b) x = 4√2*cos(315°) = 4 nice
y = -4√2*sin(135°) = -4 incorrect
option b is not correct
c) x = 4√2*cos(135°) = -4 incorrect
Option c is not correct
d) x = 4√2*cos(225°) = -4 incorrect
option d is not correct
Evaluate the log by thinking “3 to what power is 1/9 so log3(1/9) =
Answers
Answer:-2
Step-by-step explanation:
Log3(1/9)
Log(1/9) ➗ Log3
Log(1/3^2) ➗ Log3
Log3^(-2) ➗ Log3
-2Log3 ➗ Log3
-2(Log3 ➗ Log3)
-2
The solution of the expression by taking a log is, log₃ (1/9) = - 2
Used the formula for the logarithmic function,
log₃ (a)ⁿ = n log₃ (a)
log₃ (3) = 1
Given that,
The logarithmic function is,
log₃ (1/9)
It can be written as,
log₃ (3⁻²)
Since, log₃ (a)ⁿ = n log₃ (a)
So, we get;
- 2 log₃ (3)
- 2 × 1
- 2
Therefore, the solution is - 2.
To learn more about the function visit:
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$2,000 at 9% simple interest; deposit $1,600
Answers
oops sorry.
180 was the 9% interest.
Write an exponential model given the two points (6,120) and (7,230)
Answers
Answer:
hhhhhhh
Step-by-step explanation:
Answer:
f(x) = 120(23/12)^(x-6)
Step-by-step explanation:
One way to write the model is ...
f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))
Filling in the given numbers, this is ...
f(x) = 120·(230/120)^((x-6)/(7-6))
f(x) = 120(23/12)^(x-6)
__
Comment on this model
This could be written in the form ...
f(x) = a·e^(bx)
but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.
The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years 1970-1979 (in million km2): 6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2 What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
Answers
Answer:
Step-by-step explanation:
From the given information,
The ten observation data on october snow cover for Eurasia during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2
What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,
Remove the smallest and the largest values to compute the trimmed mean
[tex]\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465[/tex]
The area of a rectangular wall of a barn is 171 square feet . It’s length is 10 feet longer than the width . Find the length and width of the wall of the barn
Answers
Answer:
10 x 17.1 = 171
Step-by-step explanation:
10 x 17.1 = 17.1
Write the formula for absolute value function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answers
Answer:
y = -8|x| + 6
Step-by-step explanation:
y = a|x-b| + c; (b,c) = vertex and a = constant
y = a|x-0| + 6 -->
y = a|x| + 6 -->
-2 = a|-1| + 6 -->
-2 = a + 6 -->
-8 = a -->
y = -8|x| + 6
What is the surface area of the triangular prism?
Triangular prism
a
152 square feet
b
172 square feet
c
252 square feet
d
264 square feet
Answers
Answer:
Option c. 252 square feet
Step-by-step explanation:
This question does not have figure, please find the figure attached below.
Area of the triangular sides = [tex]2(\frac{1}{2}\times bh)[/tex]
= [tex]2(\frac{1}{2}\times 3\times 4)[/tex]
= 2(6)
= 12 feet²
Area of the rectangular base = A = b × h
= 20 × 3
= 60 feet²
Area of the lateral side = 20 × 5
= 100 feet²
Area of the vertical rectangular side = 20 × 4
= 80 feet²
Total surface area = 12 + 60 + 100 + 80
= 252 feet²
Total surface area of the triangular prism is 252 square feet.
In the phrase “rise over sun” shat does “rise” indicate?
