Answer:
The other solution is 0.56
Step-by-step explanation:
The quadratic equation is;
4x^2 + 45x + 24
a is the coefficient of x^2 which is 4
b is the coefficient of x which is 45
c is the third number which is 24
Using the quadratic formula, we have
x = {-b ± √(b^2-4ac)}/2a
So inputing the values we have highlighted above, we have
x = {-45 ± √(45^2-4(4)(24)}/2(4)
x = {-45 ± √(2025-4(4)(24)}/2(4)
x = {-45 ± √1641}/2(4)
x = {-45 ± 40.51}/2(4)
x = (-45+40.51)/8 or (-45-40.51)/8
x = 0.56 or -10.69
Answer:
-0.56
Step-by-step explanation:
The guy above was nearly correct, not correct. He said it was positive when it is actually negative.
Hope this helps!
Find the length of a side of a rhombus if the lengths of its diagonals
are:
6m and 8m
Answer:
the other side lengths are 6m and 8m
Step-by-step explanation:
i did the quiz and got it right
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Correct option: Third one
Step-by-step explanation:
A polynomial is an expression in the form:
[tex]ax^n + bx^{n-1}+...+mx^1+n[/tex]
Where n is a non-negative integer number, and a, b, ... are real coefficients.
The first option is not a polynomial, because there is a non-integer number (5/2) in the exponent of y.
The second option is not a polynomial, because there is a negative integer number in the exponent (the fraction [tex]\frac{1}{x^2}[/tex] is the same as [tex]x^{-2}[/tex], and [tex]\frac{1}{5x}[/tex] is the same as [tex]0.2x^{-1}[/tex]).
The third option is a polynomial, because all numbers in exponent are non-negative integers.
The fourth option is not a polynomial, because there is a variable x in the exponent, so we don't know if the exponent is a non-negative integer number.
A certain animated movie earned $1.1⋅109\$1.1 \cdot 10^9 $1.1⋅10 9 dollar sign, 1, point, 1, dot, 10, start superscript, 9, end superscript in revenues at the box office. The movie lasts 9.1⋅1019.1\cdot10^1 9.1⋅10 1 9, point, 1, dot, 10, start superscript, 1, end superscript minutes. How much revenue was earned per minute of the movie? Write your final answer in scientific notation, and round to two decimal places.
$ 1.21 * 10⁷ per minute
Step-by-step explanation:Movie Earning = $ 1.1 * 10⁹
Movie lasted for = 9.1 * 10¹ minutes
Money earned in 9.1 * 10¹ minutes = $ 1.1 * 10⁹
Money earned in 1 minutes = $ 1.1 * 10⁹ / (9.1 * 10¹)
= $ 110 * 10⁷ / (9.1 * 10¹)
= $ 12.09 * 10⁶
= $ 1.209 * 10⁷
= $ 1.21 * 10⁷
Movie earning = $ 1.21 * 10⁷ per minute
Answer:
$ 1.21 * 10⁷ per minute
Step-by-step explanation:
True or False? All equiangular triangles are similar.
Answer:
True
Step-by-step explanation:
All equiangular triangles are similar.
) 30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.
Answer:
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
Step-by-step explanation:
Given that
Total number of marbles= 30
Lets take, the number of marbles in the first bag= x
The number of marbles in the second bag = 3 x
The number of marbles in the third bag = 2 x
Therefore
The total number of marbles = x + 2 x + 3 x = 6 x
6 x = 30
[tex]x=\dfrac{30}{5}[/tex]
x= 6 marbles
We can say that
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
A personnel manager is concerned about absenteeism. she decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. the null hypothesis is: absenteeism is distributed evenly throughout the week. the 0.01 level is to be used. the sample results are: day of the week number of employees absent monday 12 tuesday 9 wednesday 11 thursday 10 friday 9 saturday 9 what is the calculated value of chi-square?
Answer:
Hello your question lacks the required options
A.)11.070 B.)2.592
C.)13.388 D.)15.033
answer : 15.033 (D)
Step-by-step explanation:
The given Data
Day of The Week number of Absentees
Monday 12
Tuesday 9
Wednesday 11
Thursday 10
Friday 9
Saturday 9
The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot
hence for the given options the critical value of chi-square is ≈ 15.03
Simplify (x+3)(x-1) - x(x+2)
Answer:
-3
Step-by-step explanation:
(x+3)(x-1) - x(x+2)
Foil the first term
First x^2
outer -x
inner 3x
last -3
Add them together
x^2 -x+3x-3 = x^2 +2x-3
x^2 +2x-3 - x(x+2)
Distribute the second term
x^2 +2x-3 -x^2 -2x
Combine like terms
-3
Answer:
[tex]\boxed{-3}[/tex]
Step-by-step explanation:
Hey there!
Well to simplify,
(x+3)(x-1) - x(x+2)
we need to do
(x+3)(x-1) first,
(x+3)(x-1)
x*x = x^2
-x + 3x = 2x
-1 * 3 = -3
[tex]\boxed{x^2 + 2x - 3}[/tex]
Now we can do,
x(x+2)
x*x = x^2
x*2 = 2x
[tex]\boxed{x^2 + 2x}[/tex]
So now we need to subtract the 2 products,
x^2 - x^2 = 0
2x - 2x = 0
The answer is,
[tex]\boxed{-3}[/tex]
Hope this helps :)
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 210, how many were built in Town B
Answer:
The number of houses built in Town B is 56.
Step-by-step explanation:
We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.
Also, 70 houses were built in Town A during 210.
Let the number of houses built in Town B be 'x'.
So, according to the question;
Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B
[tex]70 = x + (25\% \times x)[/tex]
[tex]70 = x(1+0.25)[/tex]
[tex]x=\frac{70}{1.25}[/tex]
x = 56
Hence, the number of houses built in Town B is 56.
Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?
Answer:
x=4
Step-by-step explanation:
5^2X=10^2X
25X=10X
2X=100/25
The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.
What is the volume of a cuboid?We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.
Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.
To obtain how many times one box is relative to the other we have to equate their respective volumes.
Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.
∴ 5×5×h₁ = 10×10×h₂.
25h₁ = 100h₂.
h₁ = 4h₂.
So, h₁ is 4 times taller than h₂.
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A group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8 What was the change in feet of the groups elevation
Answer:
13 feetStep-by-step explanation:
If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.
Change in feet of the groups elevation = final feel - initial feet
Given initial feet = -5 feetFinal feet = 8 feet
Change in feet of the groups elevation = 8 -(-5)
Change in feet of the groups elevation = 8+5
Change in feet of the groups elevation = 13
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors
Answer:
p(x) = (x + 1) (x - 3) (x + 2)
Step-by-step explanation:
x³ - 7x - 6
(x+1) (x² - x - 6) found by doing long division
(x+1) ( x - 3) (x + 2) are the factors
The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are given the polynomial as;
x³ - 7x - 6
Then we found by doing long division;
(x+1) (x² - x - 6)
(x+1) ( x - 3) (x + 2)
These are the factors.
Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
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The mapping diagram shows a function S(x).
Which mapping diagram shows the inverse of S(x)?
Explanation:
Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.
Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add
Answer:
24+x=40
Hope this helped
Answer:
hes right look up there
Step-by-step explanation:
hes right :) only for a p e x
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answer:
3.14
Step-by-step explanation:
√ (952.695) + √0.00195 – 5.382 please help Thank you to whoever helps
Answer:
25.52791653032955454422437424679625318128649677442393276098...
Step-by-step explanation:
You can just paste this into wolframalpha.
Answer: 970.72312
Step-by-step explanation:
Straightforward operation.
The location of a dolphin in relation to the surface of the sea, h(x), over time, x, in seconds, for 5 seconds can be modeled by a cubic function. Each of the following functions is a different form of the cubic model for the situation given above. Which form would be the most helpful if attempting to determine the time it takes for the dolphin to re-enter the sea after leaping out of the water? h(x) = 2x2(x - 11) + 4(17x - 12) h(x) = 2x(x2 - 11x + 34) - 48 h(x) = 2(x - 1)(x - 4)(x - 6) h(x) = 2x3 - 22x2 + 68x - 48
Answer:
The most helpful function in an attempt to determine the time it takes for the dolphin to re-enter is h(x) = 2·(x - 1)·(x - 4)·(x - 6)
Step-by-step explanation:
For 2·x²·(x - 11) + 4·(17·x - 12)
h(5) = 2×5^2×(5 - 11) + 4×(17×5 - 12) = -8
For the function h(x) = 2·x·(x² - 11·x + 34) -48 we have;
h(5) = 2×5×(5^2 - 11×5 + 34) -48 = -8
For the function h(x) = 2·(x - 1)·(x - 4)·(x - 6) we have;
h(5) = 2×(5 - 1)×(5 - 4)×(5 - 6) = -8
For the function h(x) = 2·x³ - 22·x² + 68·x -48 we have;
h(5) = 2×5^3 - 22×5^2 + 68× 5 - 48 = -8
Given that the values of the function are all equal at x = 5, the function that will be most helpful in determining the time it takes for the dolphin to re-enter the sea after leaping out of the water is the function that is already factorized
Thereby where the value of the function h(x) at which the dolphin re-enters the the sea is h(x) = 0, we have the function h(x) = 2·(x - 1)·(x - 4)·(x - 6), readily gives the time values, x, as x = 1 second or 4 second or 6 second, therefore, the most helpful function is h(x) = 2·(x - 1)·(x - 4)·(x - 6).
Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
student's work is correct and why?
Grace
Chelsea
3(2 - x) - 2(6x - 8)
= 6 - 3x – 12x + 16
3(2 - x) – 2(6x – 8)
= 6 - 3x – 12x - 16
Roan
3(2 - x) - 2(6x - 8)
= 6 - 3x + 12x - 16
= -3x - 12x + 16 + 6
= -3x – 12x – 16 + 6
= -3x + 12x – 16 + 6
= -15x + 22
= -15x – 10
= 9x - 10
Answer:
Hey there!
3(2 - x) - 2(6x - 8)
6-3x-12x+16
6-15x+16
-15x+22
Hope this helps :)
Answer:
Grace is correct. The other two made mistakes while distributing the negative sign. Chelsea failed to distribute the negative sign to the second term of the second expression. Roan failed to distribute the negative sign to both terms of the second expression.
4= t/2.5,what is t?
Answer:
T=10
Step-by-step explanation:
Answer:
t=10
Step-by-step explanation:
you multiply each side by 2.5 so 4*2.5= 10
Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
Will mark brainlist if it correct and well explained
Answer:
It takes Carrie and James an hour and a half to finish the job.
Step-by-step explanation:
assuming they have to inspect ONE case of watches.
Carrie can inspect 1/5 case in one hour.
James can inspect 1/3 case in one hour.
Carrie worked alone for 1 hour, so she finished 1/5 of a case.
She leaves 4/5 case to finish.
She had lunch.
After that, Carrie and James worked together for x hours to finish the job.
When they work together, the finish 1/5+1/3 = 8/15 case per hour.
So time to finisher the remaining case
Time = 4/5 / (8/15)
= 4/5 * 15/8
= 3/2 hours
= an hour and a half.
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y). A student determined y to be –2. Evaluate the student's answer. A. The student is correct. B. The student incorrectly calculated the scale factor to be –2. C. The student incorrectly divided by the scale factor instead of multiplying by it. D. The student incorrectly added the scale factor instead of multiplying by it.
Answer:
B. The student incorrectly calculated the scale factor to be –2
Step-by-step explanation:
Given that :
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).
The student determined y to be -2
If a figure dilated with a center of (0, 0) and scale factor k, then
(x , y) → (kx , ky)
(4, -6) → (12, y)
[tex]k = \dfrac{x'}{x}[/tex]
[tex]k = \dfrac{12}{4}[/tex]
k = 3
Thus; the scale factor is 3
Now; the y-coordinate can now be calculated as;
ky = (3 × -6)
ky = -18
Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.
Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The range consists of all real numbers where y ≠ 0
Step-by-step explanation:
reciprocal parent function is y = 1/x
If y = 0, then 1 would have to be divided by a number to equal 0. This would require x to equal a number that can divide 1 to equal 0. Because this is not possible, y cannot be 0.
Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.
Answer:
25 children
So , each child will get 25 pens and 7 pencils
You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child
Hope this helps and pls mark as brianliest :)
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?
Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
Financial Math
What’s the answer??
[No guessing]
In the given formula n is the number of years the loan is out for.
The answer would be C.
Answer:
[tex]\boxed{\sf C}[/tex]
Step-by-step explanation:
The formula for the payment on a loan is given:
[tex]\displaystyle P=PV \cdot \frac{i}{1-(1+i)^{-n}}[/tex]
n would represent the number of periods or years it will take to pay the loan back.
The length of arcXY is 48cm. What is the circumference of circle Z?
Answer:
C
Step-by-step explanation:
In any circle the following ratios are always equal.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{centralangle}{360}[/tex] , thus
[tex]\frac{48}{circum}[/tex] = [tex]\frac{60}{360}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )
circumference = 6 × 48 = 288 cm → C
There are six equilateral triangles in regular____.
Answer:
There are six equilateral triangles in regular hexagons
Answer:
There are 6 equilateral triangles in a regular hexagon.
Step-by-step explanation:
A regular hexagon has 6 congruent sides and can be divided into 6 congruent equilateral triangles.
There are 6 equilateral triangles in a regular hexagon.
A rope 33cm long has a mass of 561g. What is the mass of 13cm of this rope?
Answer:
221g
Step-by-step explanation:
561g divided by 33cm is how much 1 cm of rope would be so then you multiply that amount by 13
Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8
Answer:
S6tep-by-step explanation:
4^(11+8) = 4^19 is the solution
? Question
Type the correct answer in each box. Round your answers to one decimal place.
Use the function g(x) = 4(0.6)¥ to complete the table and find the y-intercept.
Answer:
-10=661.5
-1=6.7
0=4.0
1=2.4
2=1.4
8=0.1
(0,4)
Step-by-step explanation:
The y intercept is (0,4)
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = 4 (0.6)ˣ
The table shows the value of x
The value of g(x) at different value of x is
At x = -10
g(x) = 661.5
At x = -1
g(x) = 6.7
At x = 0
g(x) = 4
At x = 1
g(x) = 2.4
At x = 2
g(x) = 1.4
At x = 8
g(x) = 0.1
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