The quadratic equation has zero real solution.
What is a quadratic equation?A quadratic equation is an equation in which the highest power of the unknown is 2.
Given the quadratic equation x² + 26 = 0. We desire to find the number of real solutions it has. we proceed as follows.
x² + 26 = 0
Subtracting 26 from both sides, we have
x² + 26 - 26 = 0 - 26
x² + 0 = -26
x² = -26
Taking square root of both sides, we have that
x = ±√-26
= ±26i
So, x has two complex solutions and no real solution.
So, the equation has zero real solution.
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Please I need help whit this problem
Traduction:
Calculate the base (x) of the scalene triangle
Answer:
66.60
Step-by-step explanation:
Considering the first triangle and using SOH CAH TOA
Tan26=20/x
xtan26=20
x=20/tan26
x=41.00
Considering the second triangle
Tan38=20/x
xtan38=20
x=20/tan38
x=25.60
therefore... x=25.60+41.00
x=66.60
If c = 2m + d , which equation represents m ?
A.m=c- d/2
B.m=d-2c
C.m=c/2-d
D.m= c-d/2
Answer:
c
Step-by-step explanation:
c/2-d
Does 17 divide each of these numbers?
a)68 b) 84 c) 357 d) 1001
Hello !
68/17 = 4
=> yes for 68
84/17 = 4.941...
=> no for 84
357/17 = 21
=> yes for 357
1001/17 = 58.882...
=> no for 1001
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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the are of the circle below is 28.26 ft. squared. What is the diameter
Answer: 8.06 Inches
The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
Cancer Chance The American Cancer Society website states that a person'slifetime chance of developing cancer is 42%. Consider a group of 4 randompersons. Find the probability of each of the following outcomes.(a) None of the 4 develops cancer in their lifetime.(b) 3 out of the 4 persons develops cancer in their lifetime.Nuestion Heln: Message instructor
The Solution.
First, we state the probability of developing cancer in a lifetime and that of not developing cancer in a lifetime.
\(\begin{gathered} \text{Prob(Cancer) =}0.42 \\ \text{Prob(no cancer}=(1-0.42)=0.58 \end{gathered}\)a. None of the 4 develop cancer:
Possible outcomes=[C'C'C'C']
\(\begin{gathered} P(C^{\prime}C^{\prime}C^{\prime}C^{\prime})=pr(C^{\prime})\times Pr(C^{\prime})\times Pr(C\text{)}\times Pr(C^{\prime})=Pr(C^{\prime})^4 \\ \text{Where Pr(C')=probability of not developing cancer.} \\ \text{ =0.58}^4=0.11316\approx0.113(11.3\text{ \%)} \end{gathered}\)\(\begin{gathered} Pr(C^{}\text{C}C^{}C^{\prime})=Pr(C)\times Pr(C)\times Pr(C)\times Pr(C^{\prime})=Pr(C)^3\times Pr(C^{\prime}) \\ =0.42^3\times0.58=0.0741\times0.58=0.04297\approx0.043\text{ ( 4.3\%)} \end{gathered}\)Therefore, the correct answers are;
a. 0.113 (or 11.3%)
b. 0.043 (or 4.3%)
Please help me! 5:34 est answer as soon as you can!!
B because it is the only one were the 'y-coordinate' is not the same for 2 different 'x-coordinates'
hope this helps!!
Show the number on a number line:
-12 ÷ 4 =
Answer:
well if we take -12 and divide it by four we will get -3.
Step-by-step explanation:
If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.
Your answer will be -3 on the number line.
:)
Answer:
Step-by-step explanation:
-12/4 = -3
Mary had a 3 inch piece of ribbon she cut in half how long were the new pieces
Answer:
each peice is 1.5
Step-by-step explanation:
mark brainliest
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
What fraction is equivalent to 2 31/32
Answer:
95/32
Step-by-step explanation:
You can multiply 32 by two, 64, then add 31, 95
Answer:
95/32
Step-by-step explanation:
yea i checked and it is 95/32
The Price of Pollo
In El Salvador, "Country Chicken" is the most popular fried chicken franchise
in the country. Like most fast-food establishments, they provide a carry-out
service on their menu. You can buy their chicken in several different
quantities: 2, 6, 9, 15, or 21 pieces per box.
Over the years, prices have steadily risen, as things have a way of doing in
many areas of modern life. For example, on July 1, 1993, a box of two
pieces cost 8.35 colones, and on December 31, 1995, that same purchase
would cost you 11.25 colones.
(Note: prices are given in their original Salvadorean currency, colones; $1 U.S
colones.)
Using these two data 'points', you can form a linear equation of the slope-inter
mx + b. The independent variable x is time; the dependent variable y represe
Your task for this problem is to:
1. Find this equation.
2. Use your equation to predict what the price should have been for a 2
July 1, 1999.
Answer:
Hope I helped!~
Step-by-step explanation:
To find the equation of the line, we can use the slope-intercept form of the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the two data points given, we can calculate the slope:
m = (11.25 - 8.35) / (1995 - 1993) = 1.95
To find the y-intercept, we can use one of the data points:
8.35 = 1.95(1993) + b
b = -3884.65
So the equation of the line is:
y = 1.95x - 3884.65
To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:
y = 1.95(6) - 3884.65
y = 11.7 - 3884.65
y = -3872.95
This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.
x + y = 24
5y = x
The solution to the given system of equations is (x,y). What is the value of y?
Answer:
The value of y is 4.
Step-by-step explanation:
Note the system of equation:
x + y = 24
5y = x
First, plug in 5y for x in the first equation:
x + y = 24
(5y) + y = 24
Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:
(5y + y) = 24
(6y) = 24
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:
(6y)/6 = (24)/6
y = 24/6 = 4
Now, plug in 4 for y in one of the given equations in the system of equation:
x + y = 24
x + (4) = 24
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:
x + 4 = 24
x + 4 (-4) = 24 (-4)
x = 24 - 4
x = 20
x = 20 , y = 4
~
Check. Use the other equation. Plug in 4 for y, and 20 for x:
5y = x
5(4) = (20)
5 * 4 = 20
20 = 20 (True)
~
The value of y is 4.
A company produced in the first quarter 6,905 pieces in the second quarter the same company produced 795 pieces more than in the first quarter under these conditions how many pieces did the company produce in the first semester?
Answer: 14,605 pieces.
Step-by-step explanation:
In the second quarter, the company produced 795 pieces more than in the first quarter.
So, the total pieces produced in the second quarter can be calculated as:
6905 + 795 = 7700
The total pieces produced in the first semester (two quarters) can be calculated as:
6905 + 7700 = 14,605
Therefore, the company produced 14,605 pieces in the first semester.
The number of pieces the company produced in the first semester was 14,605 pieces.
How many?The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.
In the first quarter, the company produced 6,905 pieces, as indicated in the question.
Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:
6,905 + 795 = 7,700 pieces.
To know the company's total production in the first semester, just add the productions of the two quarters:
6,905 + 7,700 = 14,605 pieces
The figure below will be rotated 90º clockwise about the origin, translated 9 units down, and then reflected about the y-axis.
When the figure passed through the transformations the image formed is similar to the image at B as attached
How to get the image of the transformationThe figure is in the second quadrant
clockwise rotation 90degrees about the origin will being the figure to the first quadrant
Translation 9 units down will bring an image to the -6 of the y direction in the fourth quadrant
reflection over the y axis will create a mirror image of the figure and make the image at the third quadrant
The option B correctly shows the final image
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Are quadrilaterals ABCD and EFGH similar?
Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.
What are quadrilaterals?The properties of quadrilaterals are;
Number of sides is equal to fourNumber of vertices is equal to fourNumber of diagonals is twoSum of all interior angles is equal to 360 degreesFrom the information given, we can see that;
ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3
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A bucket contains stones and seashells. There are 40 seashells in the bucket and the ratio of stones to seashells is 7 : 4. Find the number of stones in the bucket.
Answer:
70 stones
Step-by-step explanation:
since there are 40 seashells represented by 4 in the ratio
you can do 7 times 10 and that equals 70.
Solve m1 and m2 In the diagram
Please help me solve Im so confused
Answer:
m<1=117
m<2=99
Step-by-step explanation:
Answer:
Angle 1 is 117 degrees.
Angle 2 is 59 degrees.
Step-by-step explanation:
Let angle 1 be x, and angle 2 be y.
By the exterior angle theorem, x + 21 = 138, so x = 138 - 21 = 117.
Again, by the exterior angle theorem, 79 + y = x = 138, so y = 138 - 79 = 59.
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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Which values of a b and c correctly represent the answer in simplest form 3 1/4 divided by 2 3/8 equals a b/c. ( PLEASE HURYYYYY)
Answer:
Step-by-step explanation:
1. Put the words into math
3 3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8
3 1/4/2 3/8=
1 7/19
2. Answer: 1 7/19
The principal was very _____ about the closed lunch policy and would not change his mind
GEOMETRY 100 POINTS
Find the length of BC
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
B. 3188.5 cubic inches.
Step-by-step explanation:
The volume of a cone is calculated using the following formula:
Volume = (1/3) * π * r² * h
Where:
π is the mathematical constant pi, approximately equal to 3.14.r is the radius of the base of the cone.h is the height of the cone.In this problem, we are given that r = 17 inches and S.h = 20 inches.
First we need to find height h.
py using Pythagorous theorem,we get
c²=a²+b²
here c= slight height and a is radius
20²=17²+b²
20²-17²=b²
111=b²
b=√(111)
Plugging these values into the formula, we get:
Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches
Therefore, the volume of the cone is 3188.5 cubic inches.
Use the distance formula to find the distance between the points (−10,−9) and (−3,8).
Answer:
9.06
Step-by-step explanation:
f f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
37
97
126
606
Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent to f(g(10)) is, 37
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
f(x) = x² + 1
g(x) = x – 4
f(g(10)) = ?
f(g(x)) = (x - 4)² + 1
= x² - 8x + 16 +1
= x² - 8x + 17
f(g(10)) = 10² - 8×10 + 17
= 100 - 80 + 17
= 37
The value of f(g(10)) is 37
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y-9x=-6
Answer: y=3x-2
Step-by-step explanation:
3y-9x=-6
First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.
Answer:
This equation in slope intercept form would be y = 3x - 2
Step-by-step explanation:
The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3
So the answer is y = 3x - 2
Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , ,
Answer:
0.1
0.3
0.22
0.38
Step-by-step explanation:
Answer:
1ST BOX Picking a Comedy movie
2ND BOX picking a science fiction movie
3RD BOX picking a dramatic movie
LAST BOX Picking a romantic movie
Step-by-step explanation:
I took the test
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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