Step-by-step explanation:
The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.
BRAINILIEST PLEASEAnswer:
he hypotenuse of a right triangle is the side opposite to the right angle
Explain how you can check whether a number is written correctly in scientific notation.
HELPP ASAP IS PLEASEEE DONT SEND A FILE AT ALL STEP BY STEP EXPLANATION
Answer:
x + 6 y - 4
Step-by-step explanation:
A moved 6 units to the right so plus 6 then moved 4 units down so minus 4
Which of the binomials below is a factor of this trinomial?
6x2 - 7x-5
A. 2x + 1
B. X+ 1
C. X-1
D. 2x-1
what is the solution to 1< 25-4x<19?
Desperately need help for math any help appreciated
Answer:
the answer is that the money is a function
Step-by-step explanation:
Answer:
a. Yes because each input value has the same output value.
b. Yes the relationship is linear because if you were to graph the information you would get a straight line.
Step-by-step explanation:
I'm not very good at explaining my reasoning haha but I hope this works :)
How much sugar is needed to make 120 ounces of the shortbread cookie dough ? B. If 30 ounces of butter is used, how much flour will be needed ?
3 of 10 fish in the pond had spots. If there are 300 total fish, how many have spots?
Answer:
90 fish have spots
Step-by-step explanation:
cross multiply and divide:
3 x 300 = 900
900 ÷ 10 = 90
Answer:90
Step-by-step explanation:
3/10 = x/300
cross multiply
10x= 900
divide by 10
x= 90
determine algebraically the zeros of f(x)=4x^3+32^2-36x
Answer:
x = 8
x = 1
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
(22x2 - 36x) + 32 = 0
STEP 2:
STEP 3: Pulling out like terms
3.1 Pull out like factors :
4x2 - 36x + 32 = 4 • (x2 - 9x + 8)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 9x + 8
The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 1 • 8 = 8
Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is -9 .
-8 + -1 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -1
x2 - 8x - 1x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-8)
Add up the last 2 terms, pulling out common factors :
1 • (x-8)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-8)
Which is the desired factorization
Equation at the end of step
3
:
4 • (x - 1) • (x - 8) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Equations which are never true:
4.2 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Solving a Single Variable Equation:
4.4 Solve : x-8 = 0
Add 8 to both sides of the equation :
x = 8
Supplement : Solving Quadratic Equation Directly
Solving x2-9x+8 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = x2-9x+8
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 4.5000
Plugging into the parabola formula 4.5000 for x we can calculate the y -coordinate :
y = 1.0 * 4.50 * 4.50 - 9.0 * 4.50 + 8.0
or y = -12.250
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-9x+8
Axis of Symmetry (dashed) {x}={ 4.50}
Vertex at {x,y} = { 4.50,-12.25}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 8.00, 0.00}
Solve Quadratic Equation by Completing The Square
5.2 Solving x2-9x+8 = 0 by Completing The Square .
Subtract 8 from both side of the equation :
x2-9x = -8
Now the clever bit: Take the coefficient of x , which is 9 , divide by two, giving 9/2 , and finally square it giving 81/4
Add 81/4 to both sides of the equation :
On the right hand side we have :
-8 + 81/4 or, (-8/1)+(81/4)
The common denominator of the two fractions is 4 Adding (-32/4)+(81/4) gives 49/4
So adding to both sides we finally get :
x2-9x+(81/4) = 49/4
Adding 81/4 has completed the left hand side into a perfect square :
x2-9x+(81/4) =
(x-(9/2)) • (x-(9/2)) =
(x-(9/2))2
Things which are equal to the same thing are also equal to one another. Since
x2-9x+(81/4) = 49/4 and
x2-9x+(81/4) = (x-(9/2))2
then, according to the law of transitivity,
(x-(9/2))2 = 49/4
We'll refer to this Equation as Eq. #5.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-(9/2))2 is
(x-(9/2))2/2 =
(x-(9/2))1 =
x-(9/2)
Now, applying the Square Root Principle to Eq. #5.2.1 we get:
x-(9/2) = √ 49/4
Add 9/2 to both sides to obtain:
x = 9/2 + √ 49/4
Since a square root has two values, one positive and the other negative
x2 - 9x + 8 = 0
has two solutions:
x = 9/2 + √ 49/4
or
x = 9/2 - √ 49/4
Note that √ 49/4 can be written as
√ 49 / √ 4 which is 7 / 2
Solve Quadratic Equation using the Quadratic Formula
5.3 Solving x2-9x+8 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -9
C = 8
Accordingly, B2 - 4AC =
81 - 32 =
49
Applying the quadratic formula :
9 ± √ 49
x = —————
2
Can √ 49 be simplified ?
Yes! The prime factorization of 49 is
7•7
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 49 = √ 7•7 =
± 7 • √ 1 =
± 7
So now we are looking at:
x = ( 9 ± 7) / 2
Two real solutions:
x =(9+√49)/2=(9+7)/2= 8.000
or:
x =(9-√49)/2=(9-7)/2= 1.000
Two solutions were found :
x = 8
x = 1
Which is greater 52.708 or 52.078
Answer:
52.708
Explanation:
It's 708 instead of 78 even rounded 52.708 would be more.
Answer:
52.708 is greater then 52.078
Step-by-step explanation:
Thats the answer!! Hope I could help u!! :)
Solve the solution by substitution.
Y= —5x + 13
-6x + 6y = 6
Show/ explain your work
Answer:
the solution is (2, 3)
Step-by-step explanation:
Make this work easier by reducing the second equation:
-x + y = 1, or y = x + 1
Substititing x + 1 for y in the first equation, we get:
x + 1 = -5x + 13, or (after combining like terms):
6x = 12
Then x = 2, and bercause y = x + 1 (see above), y = 2 + 1 = 3
Then the solution is (2, 3)
what's the answer to 7n - 7 = 1 +8n
Answer:
N = -8
Hope this helps!
Mark me brainliest if I'm right :)
Simply your answer: 9 x 5/9
Answer:
5
Step-by-step explanation:
Cancel the common factor of 9
Answer:
5
Step-by-step explanation:
Simplify 9 × 5/9
=5
have a great day
What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2
A.) a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
B.) a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units
C.) a vertical dilation by a factor of 1/3 and a vertical shift down 2 units
D.) a vertical dilation by a factor of 3 and a vertical shift down 2 units
Answer:
D) A vertical dilation by a factor of 3 and a vertical shift down 2 unitsStep-by-step explanation:
Given
f(x)=10^xg(x)=3(10)^x - 2We see that:
g(x) = 3f(x) - 2This is a vertical stretch by a factor of 3 and translation down 2 units
Correct choice is D
A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25
Answer: The Answer is D.) 16/25
Step-by-step explanation: I got it correct on Study Island
Over the last three evenings, Lena received a total of 111 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?
Answer:
Lena famous or sum y she getting sm calls?!
Step-by-step explanation:
Please help me with this question
Answer:
2377 10^3
hope this helped
Step-by-step explanation:
Find the surface area!!!
HELP ME PLZZZ
Answer:
add up all the sides and angles then divide by the radius to get the square centimeters and it will lead to the surface area which is 14
Step-by-step explanation:
I had to calculate to double check
Answer:
223.359
Step-by-step explanation:
The point A has coordinates (-5,6) What point do we get when we reflect point A across the x-axis?
Answer:
(-5,-6)
Step-by-step explanation:
smart
What value is a discontinuity of
(x2 + 3x -4)/(x2 + x -12)?
Answer:
x=-4 , x=3
Step-by-step explanation:
just did it on math-ways
El tamaño de cierto cultivo de bacterias se multiplica por 2 cada 30 minutos. Si suponemos que el cultivo tiene inicialmente 256 de bacterias, ¿Cuántas bacterias habrá transcurridas 3 horas? Cree un modelo matemático y exprese su respuesta como una potencia
Answer:
La población de bacterias después de tres horas es de [tex]2^{14}[/tex] bacterias.
Step-by-step explanation:
En este enunciado observamos un caso de progresión geométrica, en donde la población de bacterias se duplica cada treinta minutos, es decir:
[tex]\frac{p(n\cdot\Delta t)}{p(0)} = 2^{n}[/tex] (1)
Donde:
[tex]\Delta t[/tex] - Intervalo de tiempo requerido para el incremento geométrico de la población, en minutos.
[tex]n[/tex] - Número de períodos para incremento geométrico, sin unidad.
Sabemos que la población inicial de bacterias es 256 y que 3 horas son 6 veces 30 minutos. Entonces, tenemos la siguiente razón:
[tex]\frac{p(6\cdot \Delta t)}{p(0)} = 2^{6}[/tex] (2)
Si sabemos que [tex]p(0) = 256[/tex], entonces [tex]p(6\cdot \Delta t)[/tex] es:
[tex]p(6\cdot \Delta t) = 2^{6}\cdot p(0)[/tex]
[tex]p(6\cdot \Delta t) = 2^{6}\cdot (256)[/tex]
[tex]p(6\cdot \Delta t) = 2^{6}\cdot 2^{8}[/tex]
[tex]p(6\cdot \Delta t) = 2^{14}[/tex]
La población de bacterias después de tres horas es de [tex]2^{14}[/tex] bacterias.
A bakery sells cakes, cookies, and pastries. They wonder if customers are equally likely to buy each product
They take a sample of 200 recent purchases and record what was purchased (they are willing to treat this as
a random sample). Here are the results:
Product
Observed purchases
Cakes
65
Cookies Pastries
68
67
They want to perform a x' goodness-of-fit test to determine if these results suggest that one type of
product is more popular than the others.
What is the expected count of cake purchases?
You may round your answer to the nearest hundredth.
Expected:
Answer: The expected count of cake purchases is 66.67 (rounded to the hundreths).
Step-by-step explanation: Hypothesis the bakery is trying to find is if customers are equally likely to buy each product and since the sample is 200, we would have to equally split that between the 3 categories, so the expected counts for Cakes, cookies, and pastries would all be 66.67 (rounded to the hundreths).
The expected count of cake purchases would be 66.67 (rounded to the hundredths).
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The results are given as:
Product Observed purchases
Cakes 65
Cookies 68
Pastries 67
To find if customers are equally likely to buy each product and since the sample is 200,
we would have to equally split that between the 3 categories,
The expected count of cake purchases = 200/3
= 66.67
Thus, the expected counts for Cakes, cookies, and pastries would be 66.67 (rounded to the hundredths).
Learn more about the unitary method;
https://brainly.com/question/23423168
Rewrite in radical form 1/-3/6^x
Answer:
[tex] \frac{1}{ \frac{ - 3}{ {6}^{x} } } \\ = 1 \times \frac{ {6}^{x} }{ - 3} \\ = - \frac{ {6}^{x} }{3} [/tex]
QwQ hate math exams will mark brainliest and it’s worth 30 points <3
Answer:
About 8.6 units.
If you count up and sideways, it would be 12, but then there is some stuff we need to calculate at the end because it's not fully.
Answer:
B , 8.6
Step-by-step explanation:
5^2 + 7^2 = 74
square root of 74 is 8.6 hen rounded
I just learned about this lol its the Pythagorean theorem
What is the measure of
143°
61°
Enter the answer in the box.
Answer:
angle CAB=37° angle ABC=82°
Bradley had 25 baseball cards in his collection. He receives x number of baseball cards for his birthday.
Enter an equation that represents the total number of baseball cards, y, Bradley now has in his collection.
Answer:
25 + x = y
Step-by-step explanation:
He gets x(unknown amount of cards) so add that, and the total will equal y.
URGENT
A box without a top is to be made from a rectangular piece of a cardboard with the given dimensions by cutting out square corners with a side length of x. The dimensions of the cardboard are 6m x 12m. What expression represents the volume, V, of the box in terms of x?
Answer:
x45
Step-by-step explanation:
3/8 x (1 - 1/3) (don’t answer the equation write the equation in word form)
Answer:
three-eighths multiplied by the difference of one and one-third.
Step-by-step explanation:
Convert equation to words
3/8 = three-eighths
x = multiplied
1 - 1/3 = difference of one and 1/3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The heights (in inches) of the starting players on a high school basketball team are as follows: 72, 75, 78, 72, 73.
1: How many starting players are there?
2: What is the mean height?
3: What is the median height?
help please I’ll mark brainliest! <33
Answer:
There are 5 starting players.
The mean is 74
The median is 73
Step-by-step explanation:
What is the midpoint of AB need help?
Answer:
(0,0)
Step-by-step explanation:
The midpoint is (0,0) because as you can see in the graph the middle would be (0,0). However, if point A moved even one step further or closer the midpoint will also shift
Find the value of x. Write your answer in simplest form.
2.
Х
Х
X=
Answer:
x=44
Step-by-step explanation:
since it's a 90 degree triangle
2x+2=90
2x=88
x=44