Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
What is the rational root theorem?The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Read more about potential rational roots at:
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Kate wants to paddle
her canoe across the lake. To determine how far she must paddle, she paced out a triangle,counting the number of strides, as shown.
If Kate's strides average 3.5 ft, what is the
length of the longest side of the triangle?
What distance must Kate paddle across
the lake?
Answer:
1. Length of longest side of the triangle = 1,050 ft
2. Length = 437.5 ft
Step-by-step explanation:
Given:
Kate's strides average = 3.5 ft
Find:
1.longest side of the triangle
2.Distance must Kate paddle across the lake
Computation:
1.longest side of the triangle
longest side of the triangle = AE
So,
longest side of the triangle = 150 + 150
longest side of the triangle = 300
Length of longest side of the triangle = 300 × 3.5 ft
1. Length of longest side of the triangle = 1,050 ft
2.Distance must Kate paddle across the lake.
We know that,
ΔABD ~ ΔACE
So,
AB / AC = BD / CE
80 / 160 = BD / 250
BD = 125 Strides
Length = 125 × 3.5 ft
2. Length = 437.5 ft
Me need big brain to answer this question c:
Answer:
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Step-by-step explanation:
Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.
As per the question , we have
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
4. Multiple-Choice
1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What
is the measure of the smaller angle?
(1) 5°
(2) 42°
(3) 48°
(4) 90°
I already know that the answer is 42 but I don’t know how to get that! Please help.
Sry i couldn't find the answer
Answer:
(2) 42°
Step-by-step explanation:
Copy of the given problem:
4. Multiple-Choice
1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What
is the measure of the smaller angle?
(1) 5°
(2) 42°
(3) 48°
(4) 90°
Solution:
The sum of the measures of complementary angles is 90 deg.
12r - 18 + 5x + 23 = 90
We have 1 equation with two different variables, so we cannot solve the equation to find unique values of the variables.
I assume the above is an error, and both variables should be the same.
12r - 18 + 5r + 23 = 90
Combine like terms on the left side. Terms with r are combined. Terms with no variable are combined.
12r + 5r - 18 + 23 = 90
17r + 5 = 90
Subtract 5 from both sides.
17r = 85
Divide both sides by 5.
r = 5
The measures of the angles are:
12r - 18 = 12(5) - 18 = 60 - 18 = 42
5r + 23 = 5(5) + 23 = 25 + 23 = 48
The measures of the two angles are 42° and 48°.
The smaller angle measures 42°
Answer: (2) 42°
Step by step on how to do this plz
Answer:
a=8/3
Step-by-step explanation:
(-1/8)a=(5/8)a-2
2=((5/8)+(1/8))a
a=8/3
Step-by-step explanation:
hope this is helpful please
help me plz i wnt help plz i want help
Answer:
C)28in
Step-by-step explanation:
To get the area of this face, we will divide it into 3 sections.
Area of the 1st section:
Given:
l=4in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in^2
Area of the 2nd section:
Given:
l=2in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=2in*2in
a=4in^2
Area of the 3rd section:
l=8in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in*2in
a=16in^2
a1+a2+a3=Area of the face
8in^2+4in^2+16in^2=28in^2
Hope this helps ;) ❤❤❤
Choose a number line to model the following situation:
The temperature outside rose 15° and then dropped 15°. (4 points)
a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.
d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.
Answer: A
Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)
Hope this Helps :))
help me find VW and YZ
Answer:
VW=35
YZ=50
Step-by-step explanation:
As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:
2(4y+7)=12y-14
8y+14=12y-14
4y=28
y=7
So, VW=4(7)+7=35.
Similarly, you can find YZ through VT:
2(7x-17)=8x+2
14x-34=8x+2
6x=36
x=6
Therefore, YZ=8(6)+2=50.
Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
Which of the following represents continuous data? A. Amount of coins in your pocket B. Time it takes to count the coins in your pocket C. Number of collector coins you own D. Value of the coins in your pocket
Answer:
Time it takes to count the coins in your pocket
Step-by-step explanation:
Help me Guess just help please
Answer:
26
is it direct or step by step?
25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 10 cars per hour 20 cars per hour B) 30 cars per hour D 40 cars per hour
Answer:
B. 30 cars per hour
If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour
hope you got it xx
-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]
We can disregard the units temporarily to create a ratio for 4.5 to 4:
4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:
2 · (4.5 : 4) = 9 : 8
Express as a fraction:
[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]
Compute the odds in favor of obtaining a number divisible by 5 in a single roll of a die.
Answer:
1/6 or 16.7% chance
Step-by-step explanation:
A die has 6 sides, and there is only one side with a number divisible by 5, which is the number 5.
So, the probability of rolling a number divisible by 5 is 1/6.
= 1/6 or 0.167
The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The die is rolled for a single time. Then the total number of the events will be
Total event = 6 {1, 2, 3, 4, 5, 6}
The odds in favor of obtaining a number divisible by 5 will be
There is only one number that is divisible by 5 which is 5.
Then the number of favorable events will be
Favorable event = 1 {5}
Then the probability will be
P = 1 / 6
P = 0.1667
The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.
More about the probability link is given below.
https://brainly.com/question/795909
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Step by step in how to do this plz
Answer: a. 5^42 and b 9a^6
Step-by-step explanation:
a. (5^3+4)^6
(5^7)^6 = 5^42
The area of a regular hexagon is 40 in^2. What is the length of a side to the nearest tenth? A. 15.4 in. B. 9.6 in. C. 6.7 in. D. 3.9 in.
Answer:
The answer is D
Step-by-step explanation:
What is 3 divided by 2,127
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]3\ \div \ 2127[/tex]
[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION
Answer:
d = √8
d ≈ 2.82843
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in our coordinates into the distance formula:
[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]
[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]
[tex]d = \sqrt{4+4}[/tex]
[tex]d = \sqrt{8}[/tex]
To find the decimal, simply evaluate the square root:
√8 = 2.82843
Answer:
[tex] \boxed{2 \sqrt{2} \: \: units}[/tex]Step-by-step explanation:
Let the points be A and B
A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )
B ( -3 , - 8 )⇒( x₂ , y₂ )
Now, let's find the distance between these two points:
AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]
Calculate
⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]
Evaluate the power
⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]
Add the numbers
⇒[tex] \mathsf{\sqrt{8} }[/tex]
Simplify the radical expression
⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]
⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units
Hope I helped!
Best regards!
Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?
Answer:
B
Step-by-step explanation:
This is the correct answer.
From The diagrams shown here, the option that does not fully define a translation is B.
What is a translation in mathematics?
In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.
The translation in this question is option B given the definition that we have above.
Read more on translation here: https://brainly.com/question/1046778
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I need help plz step by step
Answer:
[tex]\frac{2\sqrt[3]{22} }{7}[/tex]
Step-by-step explanation:
We are asked to find the cube root of [tex]\sqrt[3]{\frac{176}{343} }[/tex]
To solve, let's start with the radical rule of having a fraction within a cuberoot, which is cubing both the numerator and denominator :
[tex]\frac{\sqrt[3]{176} }{\sqrt[3]{343} }[/tex]
Simplify both equations for the answer:
[tex]\sqrt[3]{176} = 2\sqrt[3]{22}[/tex]
[tex]\sqrt[3]{343} = 7[/tex]
[tex]\frac{2\sqrt[3]{22} }{7}[/tex]
Answer:
2∛22/7
Step-by-step explanation:
To solve, let's start with the radical rule of having a fraction within a cuberoot, which is cubing both the numerator and denominator
Hope this helps <3
Find the value of x. A. 45 B. 30 C. 6 D. 15
Answer:
answer is b
Step-by-step explanation: i am sure of it
Answer:
D. 15
Step-by-step explanation:
Both equations need the same end result because this is a square:
3x - 15 = 45 - x =
3x - 3x = 45 - x - 3x
0 = 45 - 4x
4x = 60
4x/4 = 60/4 =
X = 15
Check:
3(15) - 15 = 45 - 15
45 - 15 = 45 - 15
30 = 30
what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
Answer:
9 1/5
Step-by-step explanation:
3 2/7 * 2 4/5
Change to improper fractions
( 7*3+2)/7 * ( 5*2+4)/5
23/7 * 14/5
Rewriting
14/7 * 23/5
2 * 23/5
46/5
Changing back to a mixed number
5 goes into 45 9 times with 1 left over
9 1/5
The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.
To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.
First, convert 3 2/7 to an improper fraction:
3 2/7
= (3 x 7 + 2) / 7
= 23/7
Next, convert 2 4/5 to an improper fraction:
2 4/5
= (2 x 5 + 4) / 5
= 14/5
Now, multiply the two improper fractions:
(23/7) x (14/5) = (23 x 14) / (7 x 5)
= 322/35
To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:
322/35
= (322/7) / (35/7)
= 46/5
Now, express the improper fraction as a mixed number:
46/5 = 9 1/5
Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.
To learn more about the fractions;
https://brainly.com/question/10354322
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Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
4, 7, 9, 11, 12,...
Answer:
Not arithmetic
Step-by-step explanation:
Arithmetic sequences go up by the same number or down by the same number.
From 4 to 7 thats up by 3
From 7 to 9 that's up by 2
Conclusion: not arithmetic
Answer:
The sequence is not an arithmetic sequence.
Step-by-step explanation:
4 is getting added by 3 to get 7
7 is getting added by 2 to get 9
9 is getting added by 2 to get 11
11 is getting added by 1 to get 12
As you can see, the sequence is not consistent. Therefore, it is not an arithmetic sequence.
The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?
Answer:
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Step-by-step explanation:
[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]
Annually= Yearly, A year has 365 days.
They work 40 hours a week, 8*5=40.
There are aprox, 10 holidays in a year. (You can change this in your work)
They have 2 weeks unpaid vacation, 14 days.
There are aprox, 52 weeks in a year. (You can change this in your work)
52 weeks - 2 weeks of unpaid vacation= 50 weeks.
Now Let's calculate the weekly income, for
$8.10*40=$324 per week.
$8.25*40=$330 per week.
$8.45*40=$338 per week.
$8.75*40=$350 per week.
$9.00*40=$360 per week.
$9.25*40=$370 per week.
$10.50*40=$420 per week.
Now Let's calculate the annually income, for each clerk.
324*50=16,200 + 648=16,848
330*50=16,500 + 660=17,160
338*50=16,900 + 676=17,576
350*50=17,500 + 700=18,200
360*50=18,000 + 720=18,720
370*50=18,500 + 740=19,240
420*50=21,000 + 840=21,840
Now the total annual payroll=
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews an SRS of 50 of the
175 students living in the dormitory. She finds that 14 think the dorm food is good.
What is the numerical value of the sample proportion p from Tonya's sample? Round to two decimal places if necessary.
p = ?
Answer: [tex]\hat{p}=0.28[/tex]
Step-by-step explanation:
Given : Tonya interviews an SRS of 50 of the 175 students living in the dormitory.
i.e. Sample size : n= 50
Number of students think the dorm food is good: x = 14
Now , the numerical value of the sample proportion p from Tonya's sample:
[tex]\hat{p}=\dfrac{x}{n}[/tex]
[tex]=\dfrac{14}{50}=0.28[/tex]
Hence, the numerical value of the sample proportion p from Tonya's sample is 0.28.
Santiago is eight years younger than Juan is today. If, in four years, Santiago will be half Juan’s age, how old is Santiago today? a) 1 b) 2 c) 3 d) 4
Answer:
d) 4.
Step-by-step explanation:
Let Santiago be x years old today.
Then Juan is x + 8 years old.
In 4 years Santiago will be x + 4 years.
In 4 years Juan will be x + 12 years.
From the given information:
x + 4 = 0.5(x + 12)
x = 0.5x + 6 - 4
0.5x = 2
x = 2 / 0.5
x = 4.
Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(
Answer:
The least number of steps she takes to reach 20 m is 118 steps
Step-by-step explanation:
For Laura, the length of a walking step = 50 cm = 0.5 m
The repeating number of steps she takes = Two steps forward one step backwards
The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps
Given that she always takes two steps forward and one step backwards, we have;
The number of steps forward every three steps = 2 step forward + (-1) step (backward)
The number of steps forward every three steps = 2 - 1 = 1 step forward
To reach 39 steps forward, she would need 39 × 3 = 117 steps
To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps
Therefore, the least number of steps she takes to reach 20 m = 118 steps.
If the Federal Resene sets the reserve rate to 20%, what is the resulting money multiplier?
Answer:
5
Step-by-step explanation:
Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.
Money multiplier = 1/reserve ratio
given reserve ratio = 20% = 20/100 = 0.2
thus,
Money multiplier = 1/0.2 = 5
Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1
Answer:
One-sixth d + one-eighth d = 1
Step-by-step explanation:
When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...
(Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed
(1/6)d + (1/8)d = 1 . . . . matches the last choice