Answer:
x^2 +3
Step-by-step explanation:
f(x) = 2x^2 + 2
g(x) = x2 – 1,
find (f – g)(X).
f(x) - g(x) = 2x^2 + 2 -( x^2 – 1)
Distribute the minus sign
= 2x^2 +2 -x^2 +1
= x^2 +3
A national survey of 1000 adult citizens of a nation found that 25% dreaded Valentine's Day. The margin of error for the survey was 3.6 percentage points with 90% confidence. Explain what this means.
Answer:
There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine’s Day is between 0.214 and 0.286.
Step-by-step explanation:
The summary of the statistics from the information given is ;
At 90% confidence interval, 25% dreaded Valentine's Day and the margin of error for the survey was 3.6 percentage points
SO;
[tex]C.I = \hat p \pm M.O.E[/tex]
[tex]C.I = 0.25 \pm 0.036[/tex]
C.I = (0.25-0.036 , 0.25+0.036)
C.I = (0.214, 0.286)
The 90% confidence interval for the proportion of the adult citizens of the nation that dreaded Valentine’s day is 0.214 and 0.286.
There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine’s Day is between 0.214 and 0.286.
I _____ some stuff A)'ve done B)'s do C)'s doing D)'s did E) 've
Answer:
A and E
Step-by-step explanation:
If the answer was A, it would translate to:
I have done some stuff.
If the answer was D, it would translate to:
I have some stuff.
Both of the sentences are grammatically correct, so A and E are the answers.
Incorrect:
B. - I's do some stuff - doesn't make sense
C. - I's doing some stuff - doesn't make sense
D. - I's did some stuff - doesn't make sense
STORE'S COST AND LIST PRICE
OF THREE STOVES
Model Store's Cost
List Price
Х
$520
$900
Y
$850
$1,800
Z
$700
$1,200
The chart above shows the store's cost and list price for three models of stoves sold by an appliance store.
During a 20 percent off sale, Gene bought a Model Y stove from this store. How much profit did the store
make on Gene's purchase? (Profit = Price paid - Store's cost)
O $260
O $380
O $590
O $760
Answer: C) $590
Step-by-step explanation:
Gene paid $1800 - $1800(0.2) = $1440 for Model Y
The store paid $850 for Model Y.
The profit was $1440 - $850 = $590
Determine if the survey question is biased. If the question is biased, suggest a better wording. How often do you eat fruit during an average week?
1. Is the question biased?
A. Yes, because it influences the respondent into thinking that eating fruit is good for you. A better question would be "Do you think that eating fruit is good for you?"
B. No, because it influences the respondent into thinking that eating fruit is good for you.
C. Yes, because it does not lead the respondent to any particular answer. A better question would be "Why is eating fruit good for you?"
D. No, because it does not lead the respondent to any particular answer.
2. Choose the best question below.
A. Do you think that eating fast food is good for you?
B. Do you think that eating fast food is bad for you?
C. Why is eating fast food bad for you?
D. The original question is not biased.
Answer:
The correct answers are:
1. No, because it does not lead the respondent to any particular answer (D)
2. The original question is not biased (D)
Step-by-step explanation:
In developing survey questions, response biases are tendencies for respondents to respond inaccurately or falsely to a particular question and this largely has to do with the way the questions are framed. Biased questions build preconceived thoughts in the mind of the respondent, increasing the tendency for them to lean towards a particular answer.
In this example, the question "How often do you eat fruit during an average week?" is not biased because it does not suggest to the respondent whether eating fruits is good or bad, it just directs the respondent to a particular number, hence the question is not biased.
1/6•4•(-1/3)•9•(-1/2)•5
Answer:
Step-by-step explanation:
its 5
1/6 *2 *3 *5=
1/3*3*5=
5
Find the sum of -395,102, -27, -95
Answer:
-415
Step-by-step explanation:
first, add -395+-27+-95, which equals -517
then, add 102 to -517(all you do is subtract 102 from 517 and put a negative sign in front of that answer), in which you would get -415.
Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
A. y-2-(X-5)
B. y-2-(X-5)
C. y-2 =(x-5
D. V-2--0-5)
Please, check the options of the question. The point-slope equation needs the slope, m, in the equation.
Answer:
The point-slope equation of the points (5,2) and (-1,-6) is
[tex] \\ y - 2 = \frac{4}{3}(x-5)[/tex] or,
[tex] \\ y + 6 = \frac{4}{3}(x+1)[/tex]
which are the same as
[tex] \\ 3y-4x+14 = 0[/tex] , (which is not a point-slope equation, though)
Step-by-step explanation:
The point-slope equation is given by:
[tex] \\ y - y_{1} = m(x - x_{1})[/tex]
Where m is the slope of the line:
[tex] \\ m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Having the points (5,2) and (-1,-6), then
[tex] \\ m = \frac{-6 - 2}{-1 -5}[/tex]
[tex] \\ m = \frac{-8}{-6}[/tex]
[tex] \\ m = \frac{4}{3}[/tex]
Then, the point-slope equation of the points (5,2) and (-1,-6) is
[tex] \\ y - 2 = \frac{4}{3}(x-5)[/tex] or
[tex] \\ y + 6 = \frac{4}{3}(x+1)[/tex]
The below graph represents both lines (they are the same line).
Calculate: 1/(1×3) + 1/(3×5) + ... + 1/(47×49) . Please give explanation
Answer:
4611/11515
Step-by-step explanation:
1/(1×3)- 1 times 3 simply equals 3. so the answer would be 1/3.
1/(3×5)- 3 times 5 simply equals 15. so the answer would be 1/15.
1/(47×49)- 47 times 49 is 2303. so the answer would be 1/2303.
after all this you find the common deonomator. The common denominator is 34545. 34545 divided by 3 equals to 11515 so you muliplty that number by 1/3. 34545 divided by 15 equals to 2303 so you muliplty that number by 1/15.
34545 divided by 2303 equals to 15 so you multiply that number by 1/2303. After adding all that together you get 13833/34545. However after you simplify that number you get 4611/11515
Why can you not see any answers on brainless tonight? It was working earlier today.
Answer:
I;m wondering the same thing
Step-by-step explanation:
Answer: don’t know maybe a glitch or had something to do with the honor code
Step-by-step explanation:
The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock that pay $2.85 per share and 2,500,000 shares of common stock. After finding the amount of dividends due the preferred shareholders, calculate the dividend per share of common stock.
Answer:
$1.06 per share
Step-by-step explanation:
Calculation for dividend per share of common stock for board of directors of Midwest Foods
First step is to find the dividends due to the preferred shareholders
Dividends due to the preferred shareholders will be calculated as:
Using this formula
Total Dividend =Dividend- (Preferred stock *Per share of preferred stock )
Where,
Dividend=$3,500,000
Preferred stock =$300,000
Per share of preferred stock =$2.85
Let plug in the formula
Total Dividend =$3,500,000-($300,000*$2.85)
Total Dividend =$3,500,000-$855,000
Total Dividend =$2,645,000
The second step is to find Dividend per share of common stock
Using this formula
Dividend per share of common stock=Total dividend/Shares of common stock
Where,
Total dividend=$2,645,000
Shares of common stock=$2,500,000
Let plug in the formula
Dividend per share of common stock=$2,645,000/$2,500,000
Dividend per share of common stock=$1.06 per share
Therefore the dividend per share of common stock for board of directors of Midwest Foods will be $1.06 per share
Solve the matrix equation.
Answer:
answer there
Step-by-step explanation:
hope it. was. helpful
The graph of y=−x+2 is shown below.
Answer:
What is the question?
Step-by-step explanation:
Y = -4x + 11 , 3x + y = 1
Answer:
(10, -29)
Step-by-step explanation:
I assume you are looking for the solution to this system of equations.
Plug them both into a graphing calculator. The point where they cross is:
(10, -29)
Answer:(10, -29)
Step-by-step explanation:
(4/4) PLEASE HELP! URGENT.. LAST QUESTION. WILL MARK BRAINLIEST AND 5 STARS IF CORRECT ASAP! -50POINTS-
Answer:
As x → - ∞ , y → - ∞ and as x→ ∞ , y → -∞
option B is the correct option.Step-by-step explanation:
f ( x ) = - 5x⁴ + 7x² - x + 9
Here, dominating term is ( -5x⁴ ) which has even exponent.
Now, as x → ∞ ⇒ - 5x ⁴⇒ - ∞ [ x⁴ → ∞ ]
⇔ f (x) → - ∞ [ -5x⁴ is dominating term ]
x→ ∞ , y → -∞
as x→ - ∞ , ( -5x⁴ ) → - ∞ [ x⁴ → ∞ ]
as x→ - ∞ , y → -∞
Hence, Option B is the correct option.
------------------------------------------------------------------
You just have to focus on leading term, which is the term that has highest exponent of variable, as in our case , it is -5x⁴.
And then find leading coefficient, whether it is positive or negative degree ( power of variable) and whether it is even number or odd number)
Then, if leading coefficient is negative and degree is positive then always y will approach -∞ .
Hope this helps...
Best regards!!
Answer:
As x goes to negative infinity, y goes to - ∞
As x goes to infinity, y goes to - ∞
Step-by-step explanation:
We need to look at the dominate term
-5x^4
As x goes to negative infinity
-5 *(- ∞) ^ 4 = -5 * ∞ = - ∞
As x goes to negative infinity, y goes to - ∞
As x goes to infinity
-5 *( ∞) ^ 4 = -5 * ∞ = - ∞
As x goes to infinity, y goes to - ∞
Write an inequality to model the situation.
A number exceeds 21.
n ≤ 21
n < 21
n > 21
n ≥ 21
Answer:
[tex]n >21[/tex]
Step-by-step explanation:
The number exceeds 21 or is greater than 21.
‘[tex]>[/tex]’ represents greater than.
Let the number be [tex]n[/tex].
[tex]n >21[/tex]
A web page is accessed at an average of 20 times an hour. Assume that waiting time until the next hit has an exponential distribution. (a.) Determine the rate parameter λ of the distribution of the time until the first hit? (b.) What is the expected time between hits? (c.) What is the probability that t
Answer:
Step-by-step explanation:
Given that :
A web page is accessed at an average of 20 times an hour.
Therefore:
a. he rate parameter λ of the distribution of the time until the first hit = 20
b. What is the expected time between hits?
Let consider E(Y) to be the expected time between the hits; Then :
E(Y) = 1/λ
E(Y) = 1/20
E(Y) = 0.05 hours
E(Y) = 3 minutes
(c.) What is the probability that there will be less than 5 hits in the first hour?
Let consider X which follows Poisson Distribution; Then,
P(X<5) [tex]\sim[/tex] G(∝=5, λ = 20)
For 5 hits ; the expected time will be :
Let 5 hits be X
E(X) = ∝/λ
E(X) = 5/20
E(X) =1/4
E(X) = 0.25 hour
E(X) = 15 minutes
From above ; we will see that it took 15 minutes to get 5 hits; then
[tex]P(\tau \geq 0.25) = \int\limits^{\alpha}_{0.25} \dfrac{\lambda^{\alpha}}{\ulcorner^{\alpha}} t^{a\pha-1} \ e^{-\lambda t} \, dt[/tex]
[tex]P(\tau \geq 0.25) = \int\limits^{5}_{0.25} \dfrac{20^{5}}{\ulcorner^{5}} t^{5-1} \ e^{-20 t} \, dt[/tex]
[tex]\mathbf{P(\tau \geq 0.25) =0.4405}[/tex]
find the locus of a point which moves such that it is equidistant from (a,b) and (b,a)
Answer:
the line y = x
Step-by-step explanation:
(a, b ) and (b, a ) are reflections of each other in the line y = x.
They are therefore both equidistant from the line y = x
Sometimes distinct patterns around a trend line can be caused by A. statistical anomalies. B. dummy variables. C. seasonal variation. D. poor underlying data.
Answer:
C. Seasonal variation
Step-by-step explanation:
Distinct pattern around a trend line can be caused by seasonal variation.
Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season
Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.
Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.
4km in the ratio 9:4:7
Answer:
500km
Step-by-step explanation:
add all the proportions and then divide by 3. with conversion.
At what point does the line
Y = -1/2 X + 2 intercept the Y-axis?
A. - 1
B. -1/2
C. 1
D. 2
E. -2
Answer:
D. 2
Step-by-step explanation:
The y-intercept is when the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:
y = -1/2(0) + 2
y = 2
Therefore, the graph crosses the y-axis at 2.
Answer:
D
Step-by-step explanation:
our equation is y= [tex]\frac{-1}{2}[/tex] x +2
-1/2 is the slope 2 is the y-interceptso the answer is 2
if we want to verify our answer we can follow these steps
the y-intercept is given by calculating the image of 0
y= -1/2*0+2 = 2so it's right
Assume production time per unit is normally distributed with a mean 40 minutes and standard deviation 8 minutes. Using the empirical rule, what percent of the units are produced in MORE than 32 minutes?
Answer:
84%
Step-by-step explanation:
We find the z-score here
z= x-mean/SD = 32-40/8 = -1
So the probability we want to find is;
P(z>-1)
This can be obtained using the standard score table
P(z>-1) = 0.84 = 84%
Need Answers ASAP!!!!
Answer:
15.9degrees
Step-by-step explanation:
in photo above
Answer:
[tex]\boxed{15.95\°}[/tex]
Step-by-step explanation:
The angle can be found by using trigonometric functions.
tan (θ) = [tex]\frac{opposite}{adjacent}[/tex]
tan (θ) = [tex]\frac{4}{14}[/tex]
θ = [tex]tan^{-1} \frac{4}{14}[/tex]
θ = 15.9453959
θ ≈ 15.95
Simplify the expression.
Write your answer without negative exponents. NEED AN ANSWER ASAP
Answer:
[tex]\boxed{\frac{-3b^4 }{a^6 }}[/tex]
Step-by-step explanation:
[tex]\frac{-18a^{-8}b^{-3}}{6a^{-2}b^{-7}}[/tex]
[tex]\frac{-18}{6} \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]
[tex]-3 \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]
Apply the law of exponents, when dividing exponents with same base, we subtract the exponents.
[tex]-3 \times a^{-8-(-2)} \times b^{-3- (-7)}[/tex]
[tex]-3 \times a^{-8+2} \times b^{-3+7}[/tex]
[tex]-3 \times a^{-6} \times b^{4}[/tex]
[tex]{-3a^{-6}b^{4}}[/tex]
The answer should be without negative exponents.
[tex]a^{-6}=\frac{1}{a^6 }[/tex]
[tex]\frac{-3b^4 }{a^6 }[/tex]
Answer:
[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]Step-by-step explanation:
[tex] \frac{ - 18 {a}^{ - 8} {b}^{ - 3} }{6 {a}^{ - 2} {b}^{ - 7} } [/tex]
Reduce the fraction with 6
[tex] \frac{ - 3 {a}^{ - 8} {b}^{ - 3} }{ {a}^{ - 2} {b}^{ - 7} } [/tex]
Simplify the expression
[tex] \frac{ - 3 {b}^{4} }{ {a}^{6} } [/tex]
Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b \: } [/tex] to rewrite the fraction
[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]
Hope this helps...
Best regards!!
Five thousand dollars is deposited into a savings account at 2.5% interest compounded continuously.
a. What is the formula for A(t), the balance after t years?
b. What differential equation is satisfied by A(t), the balance after t years?
c. How much money will be in the account after 5 years? (Do not round until your final answer. Round your final
answer to the nearest cent as needed.
d. When will the balance reach $7,000? (Do not round until your final answer. Round your final answer to the
nearest tenth as needed.)
Answer:
A). A(t) = P(1+r/n)^(nt)
B). DA/Dt = np(1+r/n)^(t)
C). A(5) =$ 5664.0
D).t = approximately 13.5 years
Step-by-step explanation:
A(t) = P(1+r/n)^(nt)
P = $5000
n= t
r= 2.5%
After five years t = 5
A(t) = P(1+r/n)^(nt)
A(5) = 5000(1+0.025/5)^(5*5)
A(5) = 5000(1+0.005)^(25)
A(5)= 5000(1.005)^(25)
A(5) = 5000(1.132795575)
A(5) = 5663.977875
A(5) =$ 5664.0
When the balance A= $7000
A(t) = P(1+r/n)^(nt)
7000= 5000(1+0.025/n)^(nt)
But n= t
7000= 5000(1+0.025/t)^(t²)
7000/5000= (1+0.025/t)^(t²)
1.4= (1+0.025/t)^(t²)
Using trial and error
t = approximately 13.5 years
i would like some help thank you :)
Answer:
[tex]\angle AE = 32^{\circ}[/tex]
[tex]\angle EAD = 212^{\circ}[/tex]
[tex]\angle BE = 133^{\circ}[/tex]
[tex]\angle BCE = 227^{\circ}[/tex]
[tex]\angle AED = 180^{\circ}[/tex]
[tex]\angle BD = 79^{\circ}[/tex]
Step-by-step explanation:
The central angle of a circle is equal to 360º, whose formula in this case is:
[tex]\angle AB + \angle BC + \angle CD + \angle DE + \angle EA = 360^{\circ}[/tex]
In addition, the following conditions are known from figure:
[tex]\angle BC = 47^{\circ}[/tex], [tex]\angle DE = 148^{\circ}[/tex]
[tex]\angle DE + \angle EA = 180^{\circ}[/tex]
[tex]\angle CD + \angle DE = 180^{\circ}[/tex]
[tex]\angle AB + \angle BC + \angle CD = 180^{\circ}[/tex]
Now, the system of equations is now solved:
[tex]\angle EA = 180^{\circ}-\angle DE[/tex]
[tex]\angle EA = 180^{\circ}-148^{\circ}[/tex]
[tex]\angle EA = 32^{\circ}[/tex]
[tex]\angle CD = 180^{\circ}-\angle DE[/tex]
[tex]\angle CD = 180^{\circ}-148^{\circ}[/tex]
[tex]\angle CD = 32^{\circ}[/tex]
[tex]\angle AB = 180^{\circ} - \angle BC - \angle CD[/tex]
[tex]\angle AB = 180^{\circ}-47^{\circ}-32^{\circ}[/tex]
[tex]\angle AB = 101^{\circ}[/tex]
The answers are described herein:
[tex]\angle AE = 32^{\circ}[/tex]
[tex]\angle EAD = 212^{\circ}[/tex]
[tex]\angle BE = 133^{\circ}[/tex]
[tex]\angle BCE = 227^{\circ}[/tex]
[tex]\angle AED = 180^{\circ}[/tex]
[tex]\angle BD = 79^{\circ}[/tex]
A sample of 150 CBC students was taken, and each student filled out a
survey. The survey asked students about different aspects of their college
and personal lives. The experimenter taking the survey defined the
following events:
A=The student has children
B = The student is enrolled in at least 12 credits
C = The student works at least 10 hours per week
The student found that 44 students in the sample had children, 73 were
enrolled in at least 12 credits, and 105 were working at least 10 hours per
week. The student also noted that 35 students had children and were
working at least 10 hours per week.
Calculate the probability of the event BC for students in this sample. Round
your answer to four decimal places as necessary.
Answer:
The probability of the event BC
= the probability of B * C = 48.6667% * 70%
= 34.0667%
Step-by-step explanation:
Probability of A, students with children = 44/150 = 29.3333%
Probability of B, students enrolled in at least 12 credits = 73/150 = 48.6667%
Probability of C, students working at least 10 hours per week = 105/150 = 70%
Therefore, the Probability of BC, students enrolled in 12 credits and working 10 hours per week
= 48.6667% * 70%
= 34.0667%
Find the value of x.
Answer:
x = 26
Step-by-step explanation:
Since a triangle adds up to 180 degrees, we can do:
x + 4x - 5 + 55 = 180
5x + 50 = 180
5x = 130
x = 26
Solve the following for x. 3(x-2)-6x=4(x-5)
Answer:
x=2
Step-by-step explanation:
3(x-2)-6x=4(x-5)
Distribute
3x -6 -6x = 4x -20
Combine like terms
-3x-6 = 4x-20
Add 3x to each side
-3x-6+3x = 4x-20+3x
-6 = 7x-20
Add 20 to each side
-6+20 = 7x-20+20
14 = 7x
Divide by 7
14/7 =7x/7
2=x
Answer:
x = 2Step-by-step explanation:
[tex]3(x - 2) - 6x = 4(x - 5)[/tex]
Distribute 3 through the parentheses
[tex]3x - 6 - 6x = 4(x - 5)[/tex]
Distribute 4 through the parentheses
[tex]3x - 6 - 6x = 4x - 20[/tex]
Collect like terms
[tex] - 3x - 6 = 4x - 20[/tex]
Move variable to L.H.S and change it's sign
[tex] - 3x - 4x - 6 = - 20[/tex]
Move constant to RHS and change it's sign
[tex] - 3x - 4x = - 20 + 6[/tex]
Collect like terms
[tex] - 7x = - 20 + 6[/tex]
Calculate
[tex] - 7x = - 14[/tex]
Divide both sides of the equation by -7
[tex] \frac{ - 7x}{ - 7} = \frac{ - 14}{ - 7} [/tex]
Calculate
[tex]x = 2[/tex]
Hope this helps..
Best regards!!
URGENT!!!!!! A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame? REPLY IN COMMENTS PLEASE IM GLITCHING AND CANT SEE ANSWERS
Answer:
the perimeter of the square is just "(5+2x)(2)+(7+2x)(2)
Step-by-step explanation:
Answer:
2 × 10 + 2 × 14
Step-by-step explanation:
The frame is given to have measurements 2 times that of the photograph's measurements. We also know that the photograph is given by dimensions being 5 inch by 7 inch. Therefore the measurements of the frame should be 5 [tex]*[/tex] 2, which = 10 inches, by 7 [tex]*[/tex] 2 = 14 inches.
So the dimensions of the frame are 10 inch × 14 inch. As the frame is present as a rectangle, the perimeter is given by two times both dimensions together. That would be represented by the expression " 2 × 10 inch + 2 × 14 inch. " In other words you can say that the expression is 2 × 10 + 2 × 14 - the expression that represents the perimeter of the frame.
Given: , ∠DAC ≅ ∠BCA Prove: ∆ADC ≅ ∆CBA Look at the proof. Name the postulate you would use to prove the two triangles are congruent. SAS Postulate SSS Postulate AAA Postulate
Answer:
SAS Postulate
Step-by-step explanation:
The contributors to the proof are listed in the left column. They consist of a congruent Side, a congruent Angle, and a congruent Side. The SAS Postulate is an appropriate choice.