Answer:
I do!
Decimal Form: f=−0.¯6,5
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to
0.3f+2=0f−5=0
Set
3f+2 equal to 0 and solve for f.
more steps...
f=−23
Set
f−5 equal to 0 and solve for f.
more steps...
f=5
The final solution is all the values that make
(3f+2)(f−5)=0
true.
f=−23,5
The result can be shown in multiple forms.
Exact Form :f=−23,5
HOPE IT HELPS :)
Simplify the following expressions by combining like terms, if possible.
20 + xy - 3 + 4y^2 + 10 - 2y^2
(20 - 3 + 10) + (4y^2 - 2y^2) + xy
27 + 2y^2 + xy
Before a piece of steel can be sold for its maximum price, it must be 35 feet long with an absolute error of 1 foot. Find the range of acceptable heights for steels that are to be sold at full price by writing an absolute value inequality to represent this situation then solving it.
Let's call x to the height. The inequality that represents an acceptable range is:
|x - 35| ≤ 1
Solving it, we get:
x - 35 ≤ 1 or x - 35 ≥ -1
x ≤ 1 + 35 x ≥ -1 + 35
x ≤ 36 x ≥ 34
which is equivalent to 34 ft ≤ x ≤ 36 ft
When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a customer. How many customers did he have in the seventh week? pls help
The number of customers he would have in the seventh week is 37.
How many customers would there by in the seventh week?The customers of Felix grow at a linear rate. A linear growth rate is when a value increases a constant rate. The customers would increase by 2 each week.
The linear equation that represents the number of customers in the seventh week:
Initial number of customers + [ rate of increase x (number of weeks - 1)]
25 + [2 x (7 - 1)]
25 + (2 x 6)
25 + 12 = 37
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Hello! im stuck on this math question, hope you can help!
Answer:
x = 30
Step-by-step explanation:
The sum of the interior angles of a triangle is 180
x + 65 + x + 55 = 180 Combine line terms
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide both sides by 2
x = 30
A supermarket wants to find the percent of shoppers who use coupons. A manager interviews every shopper entering the greeting dard aisle. Identify the sampling method.convience samplesystematic sampleself-selected samplerandom sample
To determine the percet of shoppers that use coupons, the manager interviews every shopper thay enters the greeting aisle and records wether they use or not coupons.
Since he does not take any measures, nor divide the shopers into groups or, for example, interviews one every k number of shoppers, the sampling method he used is the most simple and common one, named
"Simple random sample" or "random sample"
Which is the polynomial for the given graph?
a) P(x) = (x + 2)(x + 8)(x-1)(x-4)
b) P(x)=(x-2)(x + 1)²(x+4)
c) P(x) = (x-2)(x-8)(x + 1)(x+4)
d) P(x) = (x + 2)(x-1)²(x-4)
The polynomial for the given graph is P(x) = (x+2)(x+8)(x-1)(x-4)
Define polynomial.A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.
Given,
The polynomial for the given graph is:
P(x) = (x+2)(x+8)(x-1)(x-4)
Each non-zero term in a polynomial function is made up of a number, known as the term's coefficient, and a variable raised to a non-negative integer power. A polynomial function can be either zero or the sum of a finite number of non-zero terms.
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Airplane tickets to Hawaii cost $500. If my mom pays for 8/4 of my ticket, how much will I have to pay?
Answer: so there for the answer is 498
Step-by-step explanation:
500 - 8\4divide 8 by 4which is 2then 500 - 2 = 498a poll is given, showing 45% are in favor of a new building project. if 10 people are chosen at random, what is the probability that exactly 8 of them favor the new building project?
Answer:
The probability that exactly 4 of them favour the new building project is 0.0768
what is Probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Step-by-step explanation:
We would assume a binomial distribution for the number of people that are in favour of a new building project. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represents the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or samples.
From the information given,
p = 40% = 40/100 = 0.4
q = 1 - p = 1 - 0.4
q = 0.6
n = 5
x = r = 4
Therefore,
P(x = 4) = 5C4 × 0.4^4 × 0.6^(5 - 4)
P(x = 4) = 5 × 0.0256 × 0.6
P(x = 4) = 0.0768
Hence, The probability that exactly 4 of them favour the new building project is 0.0768.
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The hospital is 3.1 miles west of the fire station. What is the length of a straight line between the school and the hospital? Round to the nearest tenth. Enter your answer in the box.
Using the Pythagorean Theorem, it is found that:
A. The straight line distance between the school and the fire station is of 4.62 miles.
B. The distance between the school and the hospital is of 2.08 miles.
Pythagorean TheoremThe Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In the context of this problem, the distance between the school and the fire station is the hypotenuse of a right triangle with sides 4.3 and 1.7, hence:
d² = 4.3² + 1.7²
d = sqrt(4.3² + 1.7²)
d = 4.62 miles.
The hospital is 3.1 miles west of the fire station, hence the distance between the school and the hospital is the hypotenuse of a right triangle of sides 1.7 and 4.3 - 3.1 = 1.2, hence:
d² = 1.2² + 1.7²
d = sqrt(1.2² + 1.7²)
d = 2.08 miles.
Missing informationThe complete problem is given by the image at the end of the answer.
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Ali is planning a party. He wants to buy some cakes and some sausage rolls. The cakes are sold in boxes. There are 12 cakes in each box. Each box of cakes costs £2.50. The sausage rolls are sold in packs. There are 8 sausage rolls in each pack. Each pack of sausage rolls costs £1.20. Ali wants to buy more than 60 cakes and more than 60 sausage rolls. He wants to buy exactly the same number of cakes as sausage rolls. What is the least amount of money Ali will have to pay?
The amount Ali will pay is £25.80
Define Multiples
A number that can be divided by another number without a remainder.
Multiples of 8 and 12
8 : 8 , 16, 24, 32, 40, 48, 56, 64, 72
12 : 12, 24, 36, 48, 60, 72
common element is 72
72 cakes cost for 12 cakes in each box = 72/12
= 6 packs
cost of 6 packs = 6 * £2.50 = £15
72 sausage rolls for 8 sausage in each box = 72 / 8
= 9 packs
cost of 9 packs = 9 * £1.20 = £10.80
Total cost will be = £15 + £10.80 = £25.80
Hence, the amount Ali will pay is £25.80
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Whats 1+1?
(Just a joke)
Answer:
either 11 or 21
Step-by-step explanation:
tho I might be 2
What is 42/80 as a whole number ?
Answer:
it can't be in a whole number since it is a fraction and will go in decimals
If triangle ABD = triangle CBD,
angle ABD = 99° and angle CBD = 9x - 9
Answer:
x = 12
Step-by-step explanation:
since the triangles are congruent then corresponding angles are congruent, so
∠ CBD = ∠ ABD , that is
9x - 9 = 99 ( add 9 to both sides )
9x = 108 ( divide both sides by 9 )
x = 12
PLSSSSSSSSS HELP DUE SOON!!!
Answer:
option 4
Step-by-step explanation:
let c represent the old amount , then twice the old amount is 2c.
1.5 less than twice the old amount is 2c - 1.5 , so
2c - 5 = 6
Loren solved the equation 10 = startfraction 19 over 9 endfraction (149) b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). what error did loren make?
The eqations are 149=19/9 (10) +b and 130=19/9(1)+b
Given that,
As part of her work, Loren found the solution to the equation 10 = start fraction 19 over 9 end fraction (149) b for b and the points are (1, 130) and (10, 149)
Finding the slope of a line that goes through two locations for Loren is as follows: m=y2-y1/x2-x1
=149-130/10-1
=19/9
m=19/9
There are two ways to solve for b in the equation y=mx+b for the location (1,130), where y=130, x=1, and m=19/9, and for the position (10,149), where 149=19/9 (10) +b.
Therefore, the equation of a trend line that passes through the points (1, 130) and (10, 149) are 149=19/9 (10) +b ,130=19/9(1)+b
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Can you please help me
EXPLANATION
The area of the figure can be obtained by applying the following relationship:
[tex]Area_{paralle\log ram}=base\cdot height[/tex]Where b=base and height=h
In order to find the height, we need to apply the trigonometric relationship:
[tex]\sin 45=\frac{opposite}{\text{hypotenuse}}=\frac{height}{\text{diagonal}}=\frac{h}{6.4}[/tex]Multiplying both sides by 6.4:
[tex]6.4\cdot\sin 45=h[/tex]Solving the argument:
[tex]6.4\cdot0.65=h[/tex]Switching sides:
[tex]h=4.16\text{ inches}[/tex]Now that we have the height, we can compute the area as follows:
[tex]\text{Area}_{\text{parallelogram}}=12.8in\cdot4.16in=53.24in^2[/tex]The answer is 53.24 squared inches.
-5x - 7<3 and -5x-7> -42
Answer:
x<-2, x>-7
Step-by-step explanation:
1st one
add 7 to 3 =10
-5 divide by 10 = -2
2nd one
add 7 to -42 = -35
-35 divided by 5 = -7
a tank contains 200 liters of fluid in which 30 grams of salt is dissolved. brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 l/min; the well-mixed solution is pumped out at the same rate. find the number a(t) of grams of salt in the tank at time t.
The quantity of salt in the tank at period t equivalents A(t) = 200 - 130 e(-t/40).
Initially, the tank has A(0) = 50 g of salt.
The rate of salt entryway is (1 g/L) × (5 L/min) = 5 g/min
And a rate of (A(t) ÷ 200 g/L) × (5 L/min) = (A(t) ÷ 40) g/min,
As an outcome, the quantity of salt in the tank modifications as
A'(t) = (5 - A(t)) ÷ 40.
Solve ODE for A(t):
A'(t) + (A(t) ÷ 40) = 4
[tex]e^{\frac{(t)}{40} }[/tex] A'(t) + ([tex]e^{\frac{(t)}{40} }[/tex] ÷ 40 A(t)) = 4[tex]e^{\frac{(t)}{40} }[/tex]
([tex]e^{\frac{(t)}{40} }[/tex] A(t))' = 4[tex]e^{\frac{(t)}{40} }[/tex]
[tex]e^{\frac{(t)}{40} }[/tex] A(t) = 160[tex]e^{\frac{(t)}{40} }[/tex] + C
A(t) = 160 + C[tex]e^{\frac{(t)}{40} }[/tex]
Given A(0) = 30, conclude that
30 = 160 + C
C = -130,
This denotes that the quantity of salt in the tank at period t equivalents
A(t) = 200 - 130 e(-t ÷ 40).
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PLEASE HELP ME ASAP!!!
Answer:
1256
Step-by-step explanation:
A=3.14*20^2
=400*3.14
=1256
As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 62 Second number: 52
We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
In the fraction,
The first number = 62
The second number = 52
Let the number which can be multiply by the fraction = x
Since, The given condition is,
Multiply the first number by to get the second number.
So, We can formulate;
⇒ 62 × x = 52
Solve for x, as;
⇒ 62 × x = 52
⇒ 62x = 52
Divide by 62, we get;
⇒ x = 52 / 62
Multiply and divide by 2;
⇒ x = 26 / 31
Therefore,
We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.
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Determine whether the table of values represents a linear function. If so, write the function.
PLEASE HELP!!
each year, nordstrom sets up a gift-wrapping station to assist its customers with holiday shopping. preliminary observations of one worker at the station produced the following sample time (in minutes per package): 3.5, 3.2, 4.1, 3.6, 3.9. based on this small sample, what number of observations would be necessary to determine the true cycle time with a 95% confidence level and an accuracy of ? [px]
Number of observations would be necessary to determine the true cycle time with a 95% confidence level and an accuracy are 16.
Sample timings as observed are 3.5, 3.1, 4.0, 3.5, and 3.9.
Sample-time average (X) = (3.5+3.1+4+3.5+3.9)/5
The average sample time (X) is 3.6.
Observed time (T) Mean (X) (X - T) (X - T)^2
3.5 3.6 0.1 0.01
3.1 3.6 0.5 0.25
4.0 3.6 -0.4 0.16
3.5 3.6 0.1 0.01
3.9 3.6 -0.3 0.09
Allow Standard deviation to be S.
2 in (X-T) - 1 n
[tex]S=\sqrt{\frac{0.52}{4}}[/tex]
S = 0.3605
Considering that (h) = 0.05,
Given that 95% of the time,
Z value at 95% confidence interval = 1.96
Let N be the number of observations.
2 N= Z.S hX
[tex]N=(\frac{1.96X0.3605}{0.05X3.6})[/tex]
N = 15.4
N = 16 (rounded off to next whole number) (rounded off to next whole number)
Consequently, 16 observations are required.
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Answer:
Step-by-step explanation:
Number of observations would be necessary to determine the true cycle time with a 95% confidence level and an accuracy of 16.
Sample-time average (X) = (3.5+3.1+4+3.5+3.9)/5
The average sample time (X) is 3.6. Observed time (T) Mean (X) (XT) (X-T)^2
3.5 3.6 0.1 0.01
3.1 3.6 0.5 0.25
4.0 3.6 -0.4 0.16
3.5 3.6 0.1 0.01
3.9 3.6-0.3 0.09
Allow Standard deviation to be S.
2 in (X-T) - 1n
S=√0.52/4
S=0.3605
Considering that (h) = 0.05,
Given that 95% of the time,
Z value at 95% confidence interval = 1.96 Let N be the number of observations.
2 N=Z.S hx
N=(1.96X0.3605)÷(0.05×3.6)
N = 15.4
N = 16 (rounded off to next whole number) (rounded off to next whole number) Consequently, 16 observations are required.
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Question 2(Multiple Choice Worth 5 points)
(03.05 LC)
Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5?
○ (x-1)²+(y+32²-1
25
49
0 (x+12+(y-32²-1
25
49
O(y-322²(x+12²
49
25
O(y+32 (x-12
49
25
+
1
-1
The equation of the the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5 is [tex]\frac{(x-1)^2}{49}+\frac{(y+3)^2}{25}[/tex]
Equation of the ellipses:
The Equation of the ellipse with center at (h, k)
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}[/tex]
where,
a = length of semi-major axis
b = length of semi-minor axis
Given,
Here we have the value of center as (1, -3) and the values of a = 7 and b = 5.
Here we need to find the equation of the ellipse.
According to the formula we we have the following values are given,
We know the value of center of ellipses is written as,
(h, k) = (1, -3)
And the values of
a = 7 and b = 5
Therefore, when we apply the values on the formula then we get,
[tex]\frac{(x-1)^2}{7^2}+\frac{(y-(-3))^2}{5^2}[/tex]
When we simplify the term then we get,
[tex]\frac{(x-1)^2}{49}+\frac{(y+3)^2}{25}[/tex]
Therefore, the equation of the ellipse is [tex]\frac{(x-1)^2}{49}+\frac{(y+3)^2}{25}[/tex].
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PLEASEE HELPPP!!! 30 POINTSSS
Create a system of equations and use algebra
To write a quadratic equation for each set of three points that lie on a parabola.
(5-6), (-2,8), (3,4)
(1,17), (-1,-9), (2,105)

The system of quadratic equations obtained on solving general equation of parabola are
a. 5=36a - 6b +c
-2=64a+8b+c
3=16a+4b+c
b. 1=289a+17b+c
-1=81a-9b+c
2=11025a+105b+c
the equation parabola
the general equation of Parabloa is written as-
y=a[tex]x^{2}[/tex]+bx+c
if the parabola passes through the point. then this point must satisfy the equation of the parabola. so, by putting the value of points we get a set equations-
5=a[tex]6^{2}[/tex]+b(-6)+c
5=36a - 6b +c
and for other two points we get equations
-2=64a+8b+c
and 3=16a+4b+c
and for other three points we get the equations
1=289a+17b+c
-1=81a-9b+c
2=11025a+105b+c
so on solving we get these three set of quadratic equations.
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If F(x) = 5x + 4, which of the following is the inverse of F(x)? A. F-1(x) = 4 – 5x B. F-1(x) = C. F-1(x) = D. F-1(x) = 5x – 4
Answer:
5x-4
Step-by-step explanation:
A book has 250 pages.how many digits have been used to print page no.s of book
Answer: 642 Digits have been used to print 250 Pages
Step-by-step explanation:
A book has 250 pages
1 - 250 Numbers will be used
Single Digit number - 9 ( 1- 9)
Two Digit Numbers 90 ( 10 - 99)
Three Digit Numbers 151 ( 100 - 250)
Number Of Digits used = 9 * 1 + 90 * 2 + 151 * 3
= 9 + 180 + 453
= 642
642 Digits have been used to print 250 Pages
angles in a triangle
Answer:
i = 74
j = 47
Step-by-step explanation:
to find "i" add 16 & 90 which is 106. subtract 106 from 180 to get 74.
to find "j" add 43 & 90 which is 133. subtract 133 from 180 to get 47
Find the product.
(8)(-11)=
Answer:
-88
Step-by-step explanation:
8 x -11 = 88
PLEASE HELP GIVE BRAINLIST Exterior Angle
Theorem
On a triangle ABC
Why is A+B=D
Not D=A+B I wrote it backwards
Angle d is exterior angle . and an exterior angle is equal to addition of two interior angles .
What is the formula for the exterior angle theorem?
The exterior angle that results from the creation of a triangle side is equal to the product of the two opposite internal angles.Two inside opposite angles that are not adjacent add up to the external angle. A triangle's outer angle is the product of its two inner, diagonally opposing angles.In this figure,
Angle d is exterior angle . and an exterior angle is equal to addition of two interior angles .
So, According to Exterior Angle Theorem,
∠D = ∠A + ∠B
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Answer:
See explanation below.
Step-by-step explanation:
There is a theorem about the sum of the measures of the angles of a triangle.
In this case, with the interior angle measures called a, b, and c, the theorem states:
Theorem:
The sum of the measures of the interior angles of a triangle is 180°.
a + b + c = 180°
Now we will prove the theorem and answer why a + b = d.
Look at angles c and d. They form a linear pair. Angles that form a linear pair are supplementary angles. By the definition of supplementary angles, the sum of the measures of angles c and d is 180°.
We have
c + d = 180° Eq. 1
By the theorem above, we have
a + b + c = 180° Eq. 2
Let's subtract Eq. 1 from Eq. 2:
a + b + c = 180°
- c + d = 180°
------------------------------
a + b - d = 0
a + b - d = 0
Add d to both sides.
a + b = d
That is a proof of the Exterior Angle Theorem.
528 = 14y + 10
y =
Stuck again