Answer:
(x–1)(x²–6x+6)
Explanation:
Given that 1 is a zero, we can use synthetic division to compute the factor.
If 1 is a zero (x–1) is a factor.
Here is the process:
| 1 | 1 -7 12 -6
↓ +(1) +(-6) +(6)
↓ ↓ ↓
1 -6 6 0
→ [1]x² + [-6]x + [6]1 + [0]/x–1 =
x² – 6x + 6.
Therefore the factors are (x–1)(x²–6x+6)
What is the slope of the line perpendicular to 2x-3y=8
Answer:
y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
2x-3y=8
rewrite, solve for y
3y = 2x - 8
divide by 3
y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]
perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]
ANSWER AND STEPS PLEASE
A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.
Which measurement is closest to the volume of the container in cubic feet?
Answer choices:
A. 15,307.55 ft3
B. 1,275.63 ft3
C. 5,102.52 ft3
D. 3,826.89 ft3
Answer:
answer is b.
Step-by-step explanation: use formula
V=1/3(hπr²)
so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
Find the cost of 6 kg rice, if the cost of 10 kg rice is 325 rupees .
Answer:
195 rupees
Step-by-step explanation:
10kg=325 rupees
6kg=?
Cross multiplication;
=6×325/10
=1950/10
=195 rupees
I need an answer! pls ill brainlist
Answer:
die
Step-by-step explanation:
so in order to die you must die
solve the system by substitution.......
Answer:
x=3
y=15
Step-by-step explanation:
y=5x
y=-4x+27
5x=-4x+27
+4x +4x
9x=27
/9 /9
x=3
y=5x
y=5(3)
y=15
Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...
n=20
Answer:
142
Step-by-step explanation:
hope this help love y all!
A bear weighs 4,521 grams. How much does the bear weigh in kilograms
Answer:
A bear weighing 4,521 grams would weight 4.521 kilograms
a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals
Answer:
garden eel < great white shark < sea urchin < sea turtle
Step-by-step explanation:
Help me plz thank you
Answer:
[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]
Step-by-step explanation:
[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]
Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
1.6 m = 5.3 ft
An expression is shown below:
3x3y + 12xy − 9x2y − 36y
First Rewrite the expression so that the GCF is factored completely. Show the steps of your work.
Then Rewrite the expression completely factored. Show the steps of your work.
Answer:
Part A: so the GCF is 3y,
We need to rewrite the equation such as:
-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3
It will look like this:
3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y
We then need to factor out 3y:
3y(x^3 + 4x - 3x^2 - 12)
Part b: factor out completely
3y(x^3 + 4x - 3x^2 - 12)
So, we need to do the following:
3y{x^2(x-3) + 4 (x-3)}
we then get the final factor: 3y(x - 3) (x^2 + 4)
Step-by-step explanation:
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
------------------------
To factor the expression:
First, we need to find the greatest common factor of the numeric and symbolic coefficients.Then, we divide each term of the expression by it's gcf.------------------------
The expression is:
[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]
------------------------
The numeric coefficients are: 3, 12, 9, 36
The gcf of the numeric coefficients is:
3 - 12 - 9 - 36|3
1 - 4 - 3 - 12
The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.
------------------------
The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]
The only common term is y, so y is the gcf of the symbolic coefficients.
------------------------
The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.
Now, to factore the expression:
[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
A similar problem is given at https://brainly.com/question/20691631
I really need help with this stadistic problem
Answer:
the mean is 5.8 and the median is 6
Step-by-step explanation:
if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8
for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median
A poll was conducted during the final game of the basket season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming lo an has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation?
There will be a significant difference between the two proportions. A further explanation is given below.
As shown by the data, families in remote regions are much more likely to desire the protecting winners to control the tournament than individuals throughout large cities, and this difference is statistically substantial.Throughout this case, it's because the p-value of further 0.03 would be significantly less than the threshold of 0.05 significance. As a result, we may claim that perhaps the results are statistically significant at such a 0.05 range.
Thus the above is the appropriate solution.
Learn more:
https://brainly.com/question/16125042
What is the value of k?
k = 28
k = 29
k = 31
k = 42
Answer:
k=29
Step-by-step explanation:
we know that
-------> by supplementary angles
Solve for k
Combine like terms in the left side
Substract both sides
Divide by both sides
therefore
the answer is the option
B
At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?
Answer:
Step-by-step explanation:
He eats 1/6 or 1/5 of the original cake.
All you need to do to get the answer is multiply the denominators.
1/5 * 1/6 = 1/30
If there was something in the numerators. you would multiply them too.
So suppose the two fractions were 3/5 and 2/7
The answer would be 3 * 2 / 5 * 7 = 6 / 35
General rule
When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).
find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest
Answer:
14
Step-by-step explanation:
I am preatty sure its 14 hope this helps
Which of the following scenarios shows a value of 0.4? Select all that apply.
A.
Jesse sold 40 out of 60 items at a garage sale.
B.
Jesse rode 4 out of 10 miles on his bike.
C.
Jesse finished 40 out of 100 math problems.
D.
Jesse ate 4 out of 100 jellybeans.
E.
Jesse returned 4 out of 8 library books.
Answer:
D and B
Step-by-step explanation:
The scenarios which gives a value of 0.4 is depicted by the equations B and C
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
a)
Jesse rode 4 out of 10 miles on his bike.
So , the fraction is A = 4/10 = 0.4
b)
Jesse finished 40 out of 100 math problems.
So , the fraction is A = 40/100 = 0.4
Hence , the equation is A = 0.4
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
pls answer fast will give branliest
if u send links will report so mf fast
Answer:
m∠1= 17°
m∠2=73°
m∠3=90°
m∠4=51°
m∠5=17°
m∠6=129°
Step-by-step explanation:
Hope it helps...
Have a great day!!
pls me with this maths assignment
Answer:
56ft
Step-by-step explanation:
5+4+12+11+16+8=56
¿para cuantos días alcanza una bolsa de 7,5 kg de alimento balanceado, si la ración diaria que le dan al perro de paula equivale a las dos quintas partes de 1kg?
Answer:
7,5*1000/2=37,5
Step-by-step explanation:
It takes 3 hour 15 minutes to fly from city a to city b at constant speed. Find how long the journey takes if
A) the speed is 1×1÷2 times of the original speed and
B) if the speed is three-quarters of the original speed.
Answer:
a) t= 2hours and 10 minutes
b) t=4hours and 20 minutes
v1t1=v2t2
Answer:
Step-by-step explanation:
rate = distance / time distance is constant (a-b) so call it D
time = distance / rate rate = speed (ie miles per hour = mph)
time = distance / speed
A) if the new speed is 1.5 of the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/1.5 find new time
3.25 is to D as new time is to D/1.5
3.25/D = new time / D/1.5 multiple D/1.5 on both sides
(3.25/D) ( D/1.5) = new time the distance D cancels
3.25 (D / D) / 1.5 = new time
3.25 / 1.5 = 2.167 hours or 2 hours and 10 minutes
B) if the speed is 3/4 the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/(3/4) find new time
3.25 is to D as new time is to D/0.75
3.25/D = new time / D/0.75 multiple D/0.75 on both sides
(3.25/D) ( D/0.75) = new time
3.25 (D / D) / 0.75 = new time
3.25 / 0.75 = 4.333 hours or 4 hours and 20 minutes
A fashion designer wants to know how many new dresses women buy each year. A sample of 208 women was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 6.2. Assume that the population standard deviation is 1.1.
Answer:
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1
The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
is it
Regular
OR
Reduced Fat
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
9. A juice glass holds 180mL. If a client drinks 7/2 glasses , how many milliliters did
the client consume? (5 points)
Answer:
630 ml
Step-by-step explanation:
1 glass contains 180 ml juice
7/2 glasses contains = 180 × 7/2 = 630 ml
Of nine executives in a business firm, four are married, three have never married and two are divorced. Three of the executives are to be selected for a promotion. Let Y1 denote the number of married executives and Y2 be the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available.
a. Find the joint PMF for y1 and y2
b. Find the marginal probability distribution of y1
c. If we let y3 denote the number of divorced executives among the three selected for promotion. Find P(y3 =1 | y2 = 1)
d. Are Y1 and Y2 independent? Why?
e. Find cov(Y1,Y2). Does the sign surprise you? Why?
Answer:
werere
Step-by-step explanation:
were
HELP PLEASE BRAINLIEST AND ITS EASY\
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer: 2
Step-by-step explanation:
2+2+1+3=8/4=2
Can someone help me find the answer and write a step by step explanation?
Answer: I got 144cm I'm not sure if its right though
Step-by-step explanation:
I did 12x6=72 then I did 72+72=144
In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.
Answer:
180 mm³
Step-by-step explanation:
The polyhedron is an oblique rectangular prism
Area of the oblique rectangular prism = base area * height
height = z = 4 mm
Base area = L*W
L = y = 9 mm
W = x = 5 mm
Base area = 9*5 = 45 mm²
Area of the oblique rectangular prism = 45*4 = 180 mm³
Find the slope of the line passing through the points (2,-9) and )1,-3)
Answer:
5
Step-by-step explanation:
Slope = (-3 - 2) / (1 - 2) = -5 / -1 = 5
Hi there!
[tex]\large\boxed{\text{slope =} 6}[/tex]
We can calculate slope using the following formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the corresponding points:
[tex]slope = \frac{-9-(-3)}{2-1}[/tex]
Simplify:
[tex]slope = \frac{-6}{1} = -6[/tex]