Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
-15 = 5a +12- 2a + 6 -11 -3 10 7
Answer:
A
Step-by-step explanation:
So we have the equation:
[tex]-15=5a+12-2a+6[/tex]
On the right combine like terms:
[tex]-15=5a-2a+12+6\\-15=3a+18[/tex]
Subtract 18 from both sides. The right cancels:
[tex](-15)-18=(3a+18)-18\\-33=3a[/tex]
Divide both sides by 3:
[tex](-33)/3=(3a)/3\\a=-11[/tex]
The answer is A, -11.
Answer:
a = -11
Step-by-step explanation:
-15 = 5a +12- 2a + 6
Combine like terms
-15 = 3a +18
Subtract 18 from each side
-15-18 = 3a+18-18
-33 = 3a
Divide each side by 3
-33/3 = 3a/3
-11 =a
Determine the most precise name for KIET (parallelogram,rhombus,rectangle or square.) you must use slope or length. K(0,0) I(2,2) T(5,-5) E(7,-3)
Answer: rectangle.
Step-by-step explanation:
Given points: K(0,0) I(2,2) T(5,-5) E(7,-3)
Distance formula to find distance between [tex]A(a,b)[/tex] and [tex]B(c,d)[/tex]: [tex]AB=\sqrt{(d-b)^2+((c-a)^2}[/tex]
[tex]KI=\sqrt{(2-0)^2+(2-0)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units[/tex]
[tex]KT=\sqrt{(5-0)^2+(-5-0)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units[/tex]
[tex]TE=\sqrt{(7-5)^2+(-3+5)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units[/tex]
[tex]IE=\sqrt{(7-2)^2+(-3-2)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units[/tex]
i.e. KI = TE and KT= IE, so opposite sides equal.
It can be a parallelogram or rectangle. [if all sides are equal it would be square or rhombus]
[tex]IT=\sqrt{(5-2)^2+(-5-2)^2}=\sqrt{3^2+7^2}=\sqrt{9+49}=\sqrt{58}\ units[/tex]
[tex]KE=\sqrt{(7-0)^2+(-3-0)^2}=\sqrt{7^2+3^2}=\sqrt{9+49}=\sqrt{58}\ units[/tex]
IT= KE, i.e. diagonals are equal.
It means KIET is a rectangle.
Campbells soup company want to create a new sized cam for a new line of soups.If the can holds a volume of 3416.32 cm and the height of the can is 17cm what is the area of the base of the can
Answer:
200.96cm²Step-by-step explanation:
Volume of the can is expressed as Length *Breadth* Height.
If the area of the can base is Length * Breadth
Volume of the can = area of the base of the can * Height
Given parameters
Volume of the can V = 3416.32cm³
Height of the can h = 17cm
Required
Area of the base of the can
Substituting the given parameters into the formula we have;
V = Ah
A = V//h
A = 3416.32/17
A = 200.96cm²
Hence, the area of the base of the can is 200.96cm²
The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
Answer:
The time it takes the rock to reach the canyon floor is approximately 4 seconds.
Step-by-step explanation:
The equation representing the height h (in feet) of an object t seconds after it is dropped is:
[tex]h=-16t^{2}+h_{0}[/tex]
Here, h₀ is the initial height of the object.
It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.
That is, h₀ = 255 ft.
So, when the rock to reaches the canyon floor the final height will be, h = 0.
Compute the time it takes the rock to reach the canyon floor as follows:
[tex]h=-16t^{2}+h_{0}[/tex]
[tex]0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4[/tex]
Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.
Answer:
t=4
Step-by-step explanation:
ed2020
Please answer it now
Answer:
8
Step-by-step explanation:
x+37+x+37+90 = 180
2x + 74 = 90
2x = 16
x = 8
Answer:
x=8°
Step-by-step explanation:
JI is a diameter and K is on the circumference of a circle.
∴∠JKI=90°
also KJ=KI=x(say)
tan (x+37)=y/y=1=tan 45
so x+37=45
x=45-37=8°
ayudenme con esta ecuacion de igualacion ¿ resuelve cada sistema de ecuacion por el metodo de igualacion?
7x + 4y = 2
x + y= 1
Answer:
[tex]{x, y} = {-\frac{2}{3}, \frac{5}{3}}[/tex]
Step-by-step explanation:
7x + 4y = 2
x + y = 1
// Solve equation [2] for the variable y
[2] y = -x + 1
// Plug this in for variable y in equation [1]
[1] 7x + 4•(-x +1) = 2
[1] 3x = -2
// Solve equation [1] for the variable x
[1] 3x = - 2
[1] x = - 2/3
// By now we know this much :
x = -2/3
y = -x+1
// Use the x value to solve for y
y = -(-2/3)+1 = 5/3
Solution :
{x,y} = {-2/3,5/3}
does it matter in what order we divide our our prime factors explain
Answer:
No, it does not matter.
Step-by-step explanation:
In prime factorization there is only one way to be factored. Once these numbers are broken down, into prime numbers you will get the same result no matter what list of prime numbers you use and what order you use them in.
help me with this im giving out a lot of points like seriously -_-
Answer:
17.25 miles
1 hour, 56 minutes, and 20 seconds.
4 hours, 47 minutes, and 38 seconds.
Step-by-step explanation:
Part I:
For his three cycling sessions, he had traveled for 25.8 miles, 17.25 miles, and 27.42 miles.
The shortest distance he cycled is 17.25 miles.
Part II:
For his three cycling sessions, he spent: 1) 1 hour, 56 minutes, and 20 seconds, 2) 1 hour, 1 minute, and 13 seconds, and 3) 1 hour 50 minutes and 5 seconds.
The longest time he cycled for was 1 hour, 56 minutes, and 20 seconds.
Part III:
Lance's total cycling time is all the times added together. Therefore:
[tex]1\text{ hr} +1\text{ hr} +1\text{ hr} +56\text{ min} +1\text{ min}+50\text{ min} +20\text{ sec}+13\text{ sec} +5\text{ sec} \\\\=3\text{ hr} +107\text{ min}+38\text{ sec} \\\\=4\text{ hours, }47\text{ minutes}\text{ and 38 seconds}[/tex]
Answer:
i) 17.25 miles.
ii) 1 hrs :56 mins :20 secs
iii) 4 hrs :47 mins: 38 secs total.
You are the owner of Decorama Flooring Tod and Claudia have asked for an estimate 15 feet*23 feet dinning room 12ft*18 kitchen 9ft*11 ft and 10ft*12 ft how many square ft required(multipy length by the width)
Answer:
Step-by-step explanation:
The question is not properly written. Here is the correct question.
You are the owner of Decorama Flooring. Tod and Claudia have asked you to give an estimate for tiling four rooms of their house. The living room is 15 feet*23 feet, dinning room is 12ft*18ft, the kitchen is 9ft*11 ft and the study room is 10ft*12 ft how many square ft of tiles are required for each room. (multiply length by the width).
We must understand that a floor tile is rectangular in nature.
Area of a rectangle = Length * width
To get the amount of square feet required for each room, we must multiply the length and width of each of the rooms together as shown.
For the living room;
Length = 15 feet and Width = 23 feet
Amount of square feet of tiles needed for the living room = 15feet * 23 feet
= 345 ft²
For the dining room;
Length = 12 feet and Width = 18 feet
Amount of square feet of tiles needed for the dining room = 12feet * 18 feet
= 216 ft²
For the kitchen;
Length = 9 feet and Width = 11 feet
Amount of square feet of tiles needed for the kitchen = 11feet *9feet
= 99 ft²
For the study room;
Length = 10 feet and Width = 12 feet
Amount of square feet of tiles needed for the study room = 10feet * 12 feet
= 120 ft²
For what value(s) of k will the function y=6x^2-8x+k have: a) one zero b) two zeros c) no zeros *this is not multiple choice*
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]6x^2-8x+k=0\\\\\text{We compute the discriminant.}\\\\\Delta = b^2-4ac=8^2-4*6*k=8*8-8*3*k=8*(8-3k)[/tex]
And the we know that if the discriminant is
***** [tex]\Delta[/tex] < 0, meaning 8-3k<0, meaning
[tex]\boxed{k>\dfrac{8}{3}}[/tex]
then, there is no real solution.
***** [tex]\Delta = 0[/tex], meaning
[tex]\boxed{k=\dfrac{8}{3}}[/tex]
There is 1 solution.
***** [tex]\Delta[/tex] > 0, meaning
[tex]\boxed{k<\dfrac{8}{3}}[/tex]
There are 2 solutions.
Thank you
PS: To give more details...
[tex]8-3k=0\\\\\text{Add 3k}\\\\8=3k\\\\\text{Divide by 3}\\\\k=\dfrac{8}{3}[/tex]
Please help, 50 points! :) Please do all parts
you WILL get brainiest
PDF attached below
1. The first step here is to arrange the data set's form least to greatest,
Sherelle: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can determine our 5 - number summary based on the numbers respective positions.
First Data Set,
(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85
Second Data Set,
(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79
2. This part is based on your drawings of the box and whisker plots, so you would have to figure that part out by yourself.
3. First off we know that our data set is composed of the years from 1900, so let's rewrite the set based off of the actual year -
Sherelle: 1926, 1939, 1956, 1958, 1960, 1962, 1965, 1966, 1966, 1968, 1971, 1972, 1972, 1973, 1974, 1975, 1981, 1983, 1984, 1985
Venita: 1944, 1945, 1951, 1951, 1953, 1953, 1955, 1957, 1958, 1962, 1965, 1966, 1969, 1969, 1970, 1973, 1975, 1977, 1978, 1979
( a ) Now in Sherelle's defence, she can say that the lowest coin date in her group is 1926, comparative to Venita's group - the lowest coin date in hers being 1944. Therefore, she is more likely to have the 1916 coin, after all that date is the lowest overall in both their data set.
( b ) In Venita defence, she can say that the mean of her data set is lower than the mean of Sherelle's data set. Take a look at the calculations below,
Sherella's Mean : [tex]\frac{39336}{20}[/tex] = [tex]\frac{9834}{5}[/tex] = 1966.8,
Venita's Mean : [tex]\frac{39250}{20}[/tex] = [tex]\frac{3925}{2}[/tex] = 1962.5
( c ) I would say Sherella's bag would most likely contain the 1916 coin. The mean is a prominent factor, but their mean(s) only differ by a very small quantity. That too, Sherella's bag contains the lowest coin in both their groups, and though that is not a prominent factor, it could be that she does have the 1916 coin.
Could you pretty please answer these? I really need this done now
Thank you!
If you continue to subtract 6, what is the last number in the sequence before you get to 0? Explain how you got this answer.
Answer:
6
Step-by-step explanation:
If x represents the last number, to get zero you must subtract 6 from it:
x - 6 = 0
x = 6 . . . . . . add 6 (undo the subtraction)
The last number before zero is 6.
A 2 inch by 2 inch square has its area increased by 21 square inches producing a new square. How many inches long is a side of the new square?
Answer:
A 2 by 2 inch square has an area of 4 square inches.
If its area is increased by 21 inches, then its area equals 25 square inches.
To find the length of the side we take the square root of 25 square inches which is 5 inches.
Step-by-step explanation:
What is the asymptote of the function g(x) = 5⋅2^ 3x + 4 shown on the graph?
Answer:
y=4
Step-by-step explanation:
An exponential function of the form has a horizontal asymptote of .
The given function is .
The graph of the given function is shown in the attachment.
From the graph the horizontal asymptote is
One leg of a right triangle measures 8 units and the hypotenuse measures 12 units. The perimeter of the triangle is irrational. True False
Answer:
TRUE
Step-by-step explanation:
Length of other leg [tex]= \sqrt {12^2 - 8^2} \\
= \sqrt {144 -64} \\
= \sqrt {80} \\
= 4\sqrt {5} \\[/tex]
Since, [tex] \sqrt 5[/tex] is an irrational number, hence Perimeter of triangle will also be irrational.
TRUE
Answer:
True.
Step-by-step explanation:
The length of the other side = sqrt ( 12^2 - 8^2)
= sqrt (144 - 64)
= sqrt ( 80) which is irrational so the perimeter is also irrational.
(The sum of a rational number and an irrational is irrational).
Given the function f(x) = x + 7 What would the input have to be so that f(x) = 15?
I really need help with question.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
in this we have given the value of f(x) = 15
[tex]f(x) = x + 7[/tex]
[tex]f(15) = 15 + 7[/tex]
[tex]f(15) = 22[/tex]
so this is ur answer
hope it helps .
simplify 5 x 5^2 in index form
Answer:
5x(25)
Step-by-step explanation:
Please Help Asap will give brainliest!!! M(9, 8) is the midpoint of side RS.The coordinates of S are (10, 10). What are the coordinates of R? No nonsense answers will report and give explanation plz.
the change in x is 1 and 2 in y respectively
the points are in order from r (x,y) to m (9,8) to s (10,10
if we take - 1 from x and 2 from y we will get r, or (8,6)
Which of the following equations are equivalent? Select three options.
2+ X=5
Ox+1=4
9+ X= 6
X+(-4)= 7
-5+X=-2
Answer:
A, B, E
Step-by-step explanation:
Solve all equations for x. The equivalent equations are the equations that have the same solution.
A 2 + x = 5; x = 3
B x + 1 = 4; x = 3
C 9 + x = 6; x = -3
D x + (-4) = 7; x = 11
E -5 + x = -2; x = 3
Equivalent equations: A, B, E
Write the following fractions as mixed number: 46/9, and 32/5
Answer:
[tex]5 \frac{1}{9}[/tex]
[tex]6 \frac{2}{5}[/tex]
Step-by-step explanation:
We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.
In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:
[tex]5 \frac{1}{9}[/tex].
In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:
[tex]6 \frac{2}{5}[/tex].
Hope this helped!
Answer:
5 1/9 and 6 2/5
Step-by-step explanation:
The simplest way to convert improper fractions into mixed fractions is by long division (see attached).
Okay I need ur help pls very urgent..
So I have to match the following: .complement of 50degres
Supplement of 145degress
.complement of 27degress
Supplement of 50 degrees to either
130degress
63degress
35degress
And 40degress
So I gotta match the following the first ones on top match them to these ones here on the bottom hope you can help me and very sorry..I’m just really bad with maths.
Thanks..
Supplementary angles are those which sum upto 180°
[tex] \angle 1+\angle2=180^{\circ}[/tex]
Complementary are those which sum to 90°
[tex] \angle 1+\angle2=90^{\circ}[/tex]
so if you know one angle, you can find other.
Answer:Look at my explaination
Step-by-step explanation:The complement of 50 is 90-50 giving us 40degrees
The supplement of 145 is 180-145=35 degrees
The compliment of 27 degrees is 90-27=63 degrees
The supplement of 50 degrees is 180-50=130 degrees
SIMPLIFY.
(5c^2 + c) - (3c^2 + 11c)
Answer:2 c^2 - 10c
Step-by-step explanation:
explain how the phrase oh heck another hour of algebra can help a student recall the trigonometric ratios
Answer:
its a mnemonic
Oh Heck Another Hour Of Algebra
(O = opposite side, H = hypotenuse ) = sine
(A = adjacent side, H = hypotenuse ) = cosine
(O = opposite side, A = adjacent ) = tangent
The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include in the mixed bag?
Total weight required is half pound, so let the amount of cashews be [tex] a[/tex] , and amount of peanuts be $b$
$\therefore a+b=0.5$ (1)
And we want this to cost $2.80$
Cost of $a$ pound of cashews will be $5.50\times a$ and cost of $b$ pound peanuts will be $2.30\times b$
$\therefore 5.5a+2.3b=2.8$ (2)
Substitute $a=0.5-b$ from equation (1) in equation (2)
$5.5(0.5-b)+2.3b=2.8$
$\implies -3.2b=2.8+5.5\times0.5 $
$\implies -3.2b=0.05$
$b$ comes out to be negative. That means there's no solution with the given conditions.
I checked once , I don't think there's any mistake. Can someone else verify too?
EDIT
I verified all the given options from calculator, and no option gives 2.80
The cost of a daily rental car is as follows: The initial fee is $59.99 for the car, and it costs $0.30 per mile. If Joan's bill was $200.00 before taxes, how many miles did she drive? Please help!
Answer:
466.7 or 42.003 miles
Step-by-step explanation:
subtract 59.99 from 200.00. Then you have 140.01 and divide or multiply it by 0.30.
What is negative 14 minus 5
Answer:
-19
Step-by-step explanation:
(-14)
-5
-------
14+5=19
add the negative
-19
the angle of elevation from the top of the tower from a point 100m away from the ground is fourty five degrees. what is the hieght of the tower in the nearest meter
Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }[/tex]
Let the height be x.
[tex]\displaystyle \mathrm{tan(45)}=\frac{x}{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle 100 \cdot \mathrm{tan(45)}=x[/tex]
[tex]100=x[/tex]
The height of the tower is 100 meters.
Simplify.
3^2+ (9-8/2)
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer: 14.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First we calculate 3 to the power of 2 and get 9.
|
\/
9 + 9 - [tex]\frac{8}{2}[/tex] = 14.
Now we add 9 + 9 to get 18.
18 - [tex]\frac{8}{2}[/tex] = 14.
Then, we divide 8 by 2 to get 4.
18 - 4 = 14.
Then we subtract 4 from 18 to get.....You guessed it, 14!
Answer: 14
PEMDAS
P: Parentheses
E: Exponets
M: Multiplcaction
D: Divison
A: Addition
S: Subtraction
PEMDAS can also be known as Please Excuse My Dear Aunt Sally
P: [tex](9-8/2)[/tex]
E: [tex]3^2[/tex]
M: [tex]3*3[/tex]
D: [tex]8/2[/tex]
A: [tex]9+5[/tex]
S: [tex]9-8/2[/tex]
Multiply
E: [tex]3^2=3*3=9[/tex]
M: [tex]3*3=9[/tex]
Divide
D: [tex]8/2=4[/tex]
Subtract
S: [tex]9-4=5[/tex]
Add
A: [tex]9+5=14[/tex]
Answer: [tex]14[/tex]
The reason why we didn't use P to get our answer because it would of messed up the steps. So instead we separated it by dividing 8/2 in D and 9-4-5 for S.
Which matrix represents the system of equations shown below?
3x-2y = 4
6x- y = 10
Answer:
B.
Step-by-step explanation:
First equation: the coefficients of x and y are 3 and -2, and the constant is 4.
So the first row should be [3 -2 4].
Second equation: the coefficients of x and y are 6 and -1, and the constant is 10. Hence, the second row should be [6 -1 10].
