Answer:
11286.33333
Step-by-step explanation:
1) The numerator (1) always multiplies the number (33,859.00). "Of" implies multiplication and division.
= [tex]1 * 33,859.00[/tex]
= [tex]33,859.00[/tex]
2) The denominator (3) always divides the number (33,859.00)
= 33,859.00 ÷ 3
= 11286.33333
One factor of f (x ) = 5 x cubed + 5 x squared minus 170 x + 280 is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
x = –4, x = –2, or x = 7
x = –7, x = 2, or x = 4
x = –7, x = 5, or x = 280
x = –280, x = –5, or x = 7
The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:
(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40
Hence:
(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)
= 5(x² - 6x - 8)(x + 7)
= 5(x - 4)(x - 2)(x + 7)
The roots are at:
0 = 5(x - 4)(x - 2)(x + 7)
x = 4, x = 2 or x = -7
The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7
Find out more on equation at: https://brainly.com/question/1214333
PLEASE HELP!! 20 POINTS!!
Answer:
yea
Step-by-step explanation:
The manager of a restaurant chain wants to know how many times per month diners come to his restaurant. The table shows the number of visits in one month for three samples of 10 randomly chosen diners.
A table with three rows. Title. Text that reads: Number of visits to restaurant in one month. Row one. Text that reads: Sample 1. 5, 2, 6, 4, 4, 7, 2, 1, 2, 3. Total = 36. Row two. Text that reads: Sample 2. 2, 6, 1, 3, 4, 5, 2, 1, 5, 4. Total = 33. Row three. Text that reads: sample 3. 3, 3, 6, 4, 1, 5, 3, 4, 4, 5.
Answer the questions to find the means, compare the samples, and make a prediction.
1. What are the means of Samples 1 and 2? Show your work. (3 points)
2. What is the mean of Sample 3? Show your work. (3 points)
3. Based on the data, would you predict that, in one month, the average diner would visit the restaurant fewer than 3 times, 3 or 4 times, or, about 4 times? Explain your reasoning. (4 points)
The means of samples 1 and 2 is 3.45. The mean of sample 3 is 3.8. Based on the data, the average diner would visit the restaurant 3 or 4 times.
What is the mean of a sample?The mean of a sample is the average of all the data sets given in the sample. The mean of a sample is useful in calculating population averages, central tendency, standard deviation, etc.
Mathematically, the mean of a sample can be expressed as:
[tex]\mathbf{\overline X =\dfrac{sum \ of \ the \ terms }{no \ of \ terms } }[/tex]
[tex]\mathbf{\overline X =\dfrac{\sum X}{N} }[/tex]
The mean of sample 1 is given = 36The mean of sample 2 is given = 33Thus, the means of samples 1 and 2 is:
[tex]\mathbf{\overline X =\dfrac{36+33}{20} }[/tex]
[tex]\mathbf{\overline X =3.45}[/tex]
The mean of sample 3 is:
[tex]\mathbf{\overline X =\dfrac{3+3+6+4+1+5+3+4+4+5}{10} }[/tex]
[tex]\mathbf{\overline X =3.8}[/tex]
Based on the data, the average diner would visit the restaurant 3 or 4 times, because the mean of the samples lies between 3 to 4.
Learn more about the mean of a sample here:
https://brainly.com/question/12892403
SYSTEN
REV.
REF. DWG. OR B/M
DATE:
Adrian and Jeremy are running around a track. It takes Adrian 15 minutes to
run around the track one time. It takes Jeremy 18 minutes to run around the
track once. How many minutes would it take for both boys to return to the
starting point at the same time?
How do I solve this?
Using the least common factor, it is found that it would take 90 minutes for both boys to return to the starting point at the same time.
How do we find the least common factor of two amounts?To find the least common factor, we factor the numbers by prime factors, and then multiply these factors.
The lcm represents the periodicy, that is, when two periodic amounts will be at the same value.
In this problem, the periods are of 15 minutes and 18 minutes, hence:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1 - 1
Hence:
lcm(15,18) = 2 x 3 x 3 x 5 = 90.
It would take 90 minutes for both boys to return to the starting point at the same time.
More can be learned about the least common factor at https://brainly.com/question/24873870
Solve for x
3(3x-2)=39
Answer:
3(3x-2)=39
9x-6=39
9x=39-6
9x=33
x=33/9
x=11/3
Answer:
x=5
Step-by-step explanation:
First, distribute the left side. 3(3x-2)=39 3 x 3x=9x 3 x -2=-6 m So, we get 9x-6=39
Next, we add six to both sides. We get 9x=45.
Lastly , we divide both sides by 9 and get x=5.
Plug x=5 into the place where x is to check your work. 3(3(5) - 2)=39
3(15-2)=39 3(13)=39 39=39 Since 39 is equal to 39, the equation is true.
Alice was sitting on a dock looking at a lake. She picked up a stone and through it in the air and out
toward the lake. It seemed like it was in the air for a long time. The equation that can be used to
model the height of the stone (in feet) as it relates to the time in the air in seconds) is given by
h(t) = 5 + 50 - 16t2. In order to solve for how long the stone was in the air, Alice will need to use the
quadratic equation which is:
|-bb4ac
2a
X
A quadratic equation is in the form of ax²+bx+c. The time for which the stone was in the air is 3.526.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the height of the stone will be zero or can say that the stone will be at the ground in only two conditions. When the stone will be just thrown and when the stone will complete its flight. Therefore, we can substitute the value of heigh h in the function as 0 to get those two timings.
[tex]h(t) = 5 + 50t - 16t^2\\\\0 = 5+50t - 16t^2[/tex]
Substitute the quadratic equation in the formula of the root of the quadratic function,
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-50\pm\sqrt{(50)^2-4(-16)(5)}}{2(-16)}\\\\t= -0.089, 3.526[/tex]
Hence, the time for which the stone was in the air is 3.526.
Learn more about Quadratic Equations:
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#SPJ1
-8x+19<-13 Solve inequalities
[tex]~~~-8x +19 < -13\\\\\implies -8x < -13 -19\\\\\implies -8x < -32\\\\\implies x > \dfrac{-32}{-8}\\\\\implies x > 4[/tex]
Please, help me. anyone?
X Find the length and width of a rectangle whose width is 10 cm shorter
than its length and whose area is 200 cm squared. What is the SUM of
the length and width?
Answer:30
Step-by-step explanation: length is 20, Width is 20-10 =10
Area = 20×10=200
can anyone help me with this math question
12 boys
hope it helps...!!!
this is really confusing pls help! :)
I need help, if you give answer ASAP I’ll reward a lot of points!!
Answer:
A = 31.875 inches squared
Step-by-step explanation:
Area of a parallelogram is bh
b = 12 and 3/4 is just 12.75 inches
h = 2 and 1/2 is just 2.50 inches
Multiply these together and you get the area,
A = (12.75)(2.50) = 31.875 inches squared
Answer:
31.875 (31.88 rounded)
Step-by-step explanation:
A =b x h
A =12.75 x 2.5
A = 31.875
----------------------
12.75 = 12 [tex]\frac{3}{4}[/tex]
2.5 = 2[tex]\frac{1}{2}[/tex]
100 points pls :/ Using the two-way table, what percentage of the students that like to travel out of state do not like camping? Round to the nearest whole percent.
Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
30%
33%
36%
41%
Answer:
41%
Step-by-step explanation:
step one to determine what the fraction would be you just read the question: first you have to see what they want to calculate the percentage of. In this case it's students who like traveling out of state but don't like camping. 88 students like traveling out of state and 36 of those students don't like camping so the fraction you have to use is 36/88 step two next you multiply your fraction by 100 to calculate your percentage 36/88×100= 40.9% step three since you have to round to the nearest whole percent your answer would be 41%
2. If you have an average of 82 after 4 math tests, what do you need on the 5th test to increase your average to 85?
a. 88
b. 92
c. 95
d. 97
Answer:
A
Step-by-step explanation:
you dont need much to bring an 82 to an 85
Bill bought a certain food in which there are 300 calories in 100 g of that food. What is the number of calories in a 20 g portion of this food?
Answer:
60
Step-by-step explanation:
If there are 300 calories in 100g of Bill's food, then we can divide 5 on both sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.
1335+0540 what is the answer
Answer:
1875
Step-by-step explanation:
1335 + 0540 = 1875
Answer:
1,875
Step-by-step explanation:
[tex]1335 + 540 = 1,875[/tex]
Hope this helps! : )
Thang decided to borrow $5000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 9%. How much interest will Thang pay?
Answer:
$1350
Step-by-step explanation:
Simple Interest = Deposit ×Rate/100×Time
SI=5000×9/100×3
=$1350
2(x−3) = 2x + 15 how many solutions
Answer:
0
Step-by-step explanation:
2x-6=2x+15
2x-2x=15+6
0x/0=21/0
x=0
42+5t=8t
Solve the equation
WHAT DO I DO????!!!
PLEASE HELP!!
BRAINLIEST
Answer:
Step-by-step explanation:
BRAINLIEST
A circle has a circumference of 8 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth.
PLS HELP!!! No links pls and ty <3
Formula for the Circumference of a Circle = pi x diameter
---The diameter is the same thing as 2 x radius
Circumference = 8
pi = 3.14
Diameter = d
---First, plug in what we know
8 = 3.14 x d
---Divide by 3.14 to get d by itself
d = 8 / 3.14 = 2.54777
---Round to the nearest tenth
d = 2.5 cm
Hope this helps!
d=2.5
Solution:Circumference:C=πd8=πdSince we can't simplify this equation yet, we can divide both sides by 3.14 (which is the same as pi) in order to isolate d:8÷3.14=dd=2.5Hope it helps.
Do comment if you have any query.
Write the expression 6
7
12
in radical form.
To write the expression [tex]6 \frac{7}{12}[/tex] in radical form.
To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.
Use the rule:
[tex]a\frac{x}{y}[/tex] = [tex]\sqrt[y]{a^{2} }[/tex]
Apply this rule on the the given expression:
[tex]6\frac{7}{12} = \sqrt[12]{6^{7} }[/tex]
Therefore, the expression in radical form is [tex]\sqrt[12]{6^{7} }[/tex]
Can someone pls help ?!
Answer:
120 cubed inches
Step-by-step explanation:
5 x (3 x 8)
5 x 24
120
Answer:
Step-by-step explanation:
Volume of rectangular prism = lwh
= 8 * 3 * 5
= 120 cubic inches
whats 1784 rounded off
Answer:
1780 is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let
Answer:
Depends on which digit r you asking for
thousands: 2000
hundreds: 1800
tenths: 1780
units: 1784
It costs the same to produce both packages, so the company wants to reduce the amount of wasted space, or space not taken by the balls. which package should the company choose? the cylinder because it has about 27.5 in.3 less wasted space than the prism the cylinder because it has about 61 in.3 less wasted space than the prism the prism because it has about 22.5 in.3 less wasted space than the cylinder the prism because it has about 67 in.3 less wasted space than the cylinder
The package which the company should choose if it costs the same to produce the two products is the cylinder because it has about 27.5 in.3 less wasted space than the prism.
What is the Cost of Production?The term "cost of production" refers to all the costs that are involved when a company offers a service or manufactures a product.
Costs of production relate to the different expenses that a firm faces in producing a good or service.
This refers to the amount which is used to produce a good.
With this in mind, we can see that there are the given dimensions for the square prism and cylinder from the complete question.
Hence, because they cost the same, choosing the cylinder is the best choice because of the less wasted space than the prism.
Read more about the cost of production here:
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Answer:
It's A
Step-by-step explanation:
Distributive Property to find (a+8)(a-3)
Answer:
[tex]a^{2} + 5a -24[/tex]
Step-by-step explanation:
For the distributive property, it is like multiplying each term by the other whole group.
For this problem we can set it up like this:
a(a-3) + 8(a-3) =
a^2 - 3a + 8a - 24 =
a^2 + 5a - 24
A rectangular tarp is 2 times as long as it is
wide. Its width is 8 yards. What is the area
of the tarp?
24 sq. yards
hope it helps...!!!
three and seven ninths multiplied by five.
Answer:
22
Step-by-step explanation:
Answer:
18 8/9
Step-by-step explanation:
3 7/9 =[ (3*9) + 7] / 9
= 34/9
So we have 5 * 34/9
= 170/9
= 18 8/9.
The PE room at school has a variety of colored balls that can be used to play in the school yard. There are 16 red balls, 12 orange balls, 8 yellow balls, and 11 pink balls.
What is the probability that you are going to get a BROWN ball?
Answer:
0%
Step-by-step explanation:
There are no brown balls, so therefore it is impossible to get one.
If you answer this question right, I'll give you (BRAINLIEST)
A social studies test has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions.
TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF
If a student randomly guesses for all four questions, what is the probability they get all four questions correct?
Enter your answer as a fraction, like this: 3/14
Answer:
1/16
Step-by-step explanation:
To find probiblity all you have to do is divide the number of events by the number of possible outcomes
There are 16 possible outcomes
and there is only 1` way that the student can get all 4 questions right
so the answer is: 1/16
Answer:
1/16
Step-by-step explanation:
Number of possible outcomes = 16
Only one set will be the correct option
P(getting all four questions correct) = 1/16