Answer:
c² = n²
Step-by-step explanation:
Given the 2 equations
a² + b² = c² → (1)
a² + b² = n² → (2)
Substitute a² + b² = c² into (2)
c² = n²
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x^3 + x^2 +7x - 28 = 0
A. Two
B. Three or one
C. One
D. Two or zero
The possible number of positive real solutions for the given polynomial equation is; Option C; One
We are given the polynomial;
5x³ + x² + 7x - 28 = 0
We can use descartes rule of signs to find the number of positive real zeros of the polynomial.
This descarte's rule of sign states that the number of sign changes from two consecutive coefficients tell us the number of maximum number of possible positive real zeros.
In our given polynomial, there is only one sign change. Thus we conclude that there is only one possible positive real solution to the polyomial.
Read more at; https://brainly.com/question/9624325
Answer:
D
Step-by-step explanation:
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Find the exact value of x.
Answer:
x =9 ,6
Step-by-step explanation:
find the measure of y.
options:
86°
102°
130°
122°
Answer:
B
Step-by-step explanation:
It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102
Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft
Answer:
three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°
Step-by-step explanation:
Answer:
three sides measuring 4 ft, 8 ft, and 14 ft
Step-by-step explanation:
The sum of the 3 angles of a triangle add to 180
three angles measuring 25° 65°, and 90° 25+65+90 =180
• three angles measuring 50°, 30°, and 100°50+30 +100 = 180
The sides of a triangle a<b<c (a+b) >c
• three sides measuring 5 in., 12 in., and 13 in.
(5+12)>13 true
• three sides measuring 4 ft, 8 ft, and 14 ft
(4+8) >14 false
Set up the ratio for cos(A)
Answer:
21/35
Step-by-step explanation:
Recall that Cos = Adjacent/Hypotenuse
We want to find Cos A
The adjacent of A is 21 and the hypotenuse is 35
So cos A would equal 21/35
SOMEONE HELP ME PLEASE
Answer: P (4 or even) = 1/2 = 50% = 0.5
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers: 6
Numbers of 4 = 1
Numbers of even = 3
[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (4 or even) = Favorable / Total (refer to attachment)
P (4 or even) = [(1 + 3) - 1] / 6
P (4 or even) = (4 - 1) / 6
P (4 or even) = 3 / 6
P (4 or even) = 1 / 2
Hope this helps!! :)
Please let me know if you have any questions
In a batch of 120 manufactured machine parts, 3 are found to be defective. At
his rate, how many machine parts would be defective in a batch of 12,000?
Answer:
300
Step-by-step explanation:
3:120 =1:60 ==300:12000
Find the value of x in the triangle shown below.
This is a isoceles triangle so base angles will be equal.
Therefore
ATQ
55 + 55 + x = 180
110 + x = 180 (Angle Sum Property)
x = 180 - 110
x = 70
Therefore x° = 70°
Answered by Gauthmath must click thanks and mark brainliest
Answer:x°=70°
Step-by-step explanation:
This is an isoceles triagle because the values on the sides of the figure are the same. Therefore the base angles will be equal.
55+55+x=180
110+x=180
Next, you will subtract 110 from both sides.
110+x=180
-110 -110
x°=70°
HELPPP PYTHAGOREAN THEOREM
Answer:
60
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+25^2 = 65^2
a^2 +625 = 4225
a^2 = 4225-625
a^2=3600
Taking the square root of each side
sqrt(a^2) = sqrt(3600)
a = 60
Answer:
Step-by-step explanation:
Hypotenuse: 65
Leg: 25
Let Hypotenuse be c, and leg be a
[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]
[tex]a^{2} + 25^{2} = 65^{2}[/tex]
[tex]a^{2} + 625 = 4225\\[/tex]
[tex]a^{2}[/tex] = 4225 - 625
[tex]a^{2}[/tex] = 3600
3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.
a = [tex]\sqrt{3600\\}[/tex]
a = 60
Therefore a is equal to 60 feet
The sum of (-12) and (5) is
(A) 6 (B) 8 (C) -7
Answer:
-7
Step-by-step explanation:
-12 +5
Since the signs are different
Take the larger number and subtract the smaller number
12-5 =7
Take the sign of the larger
-7
Answer:
-7 is the answer
[tex]( - 12) + (5) \\ = 7[/tex]
please answer this!!
Answer:
16
Step-by-step explanation:
if angle c is 45 then angle A is 45 also
Hence AB is equal to BC
Write out the first five terms of the sequence.
an = n - 6
Answer:
-6, -5, -4, -3, -2
or
-5, -4, -3, -2, -1
depending on if N starts at 0 or 1
Step-by-step explanation:
If n starts at 0 then the first 5 terms are the following,
-6, -5, -4, -3, -2
If n starts at 1 then the first 5 terms are these,
-5, -4, -3, -2, -1
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + (k-1) = 2,
6x + 2y - 3z = 1
kx - z = -3
has no solutions. What is this value of k?
In matrix form, the given system is written as
[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]
and the system has no solution is the coefficient matrix is singular. The determinant is
[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]
and this is zero when k = 4/3.
On the other hand, in case you are missing a factor of z in the first equation, so that the system should read
x + y + (k - 1) z = 2
6x + 2y - 3z = 1
kx - z = -3
reframing it as a matrix equation gives
[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]
Then the determinant of the coefficient matrix is
[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]
and the determinant is zero at two values, k = (-1 ± √33)/4.
Multiply the polynomials.
Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.
Answer:
No
7
Step-by-step explanation:
We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:
392 = 2 x 196
Again, 196 is divisible by 2, so we get:
392 = 2 x 2 x 98
And 98 is also divisible by 2:
392 = 2 x 2 x 2 x 49
49 is 7 times 7, so we can finish the prime factorization of 392:
392 = 2 x 2 x 2 x 7 x 7
This is the same as:
392 = 2^3 x 7^2
We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.
In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).
DJVJNNSMKAJABJSHSNSB
Can someone please help me with this problem!!
Graph g(x)= -5^x +5
PLEASE HELP! DUE TODAY :))
Step-by-step explanation:
do like the picture I sent
4000 people were randomly selected for a survey. It was found that 50% read the newspapers in Nepali language, 45% read the newspapers in English language and 25% read neither of them. How many families read the both? Also, find the number of families who read exactly one kind of these papers. +
Answer:
1) 800 (read the both) 2) 2200 (read exactly one)
Step-by-step explanation:
Find the people (families) who read neither of them
4000/100*25= 1000
It means that the rest 4000-1000= 3000 families read the newspapers at least in one language from the pointed languages. 4000/1oo*50= 2000 - readers in Nepali
4000/100*45= 40*45=1800 - readers in English.
2000+1800= 3800- the special amount, that consists of 1) only Nepali readers
2) only English readers 3) the readers in two languages (but the were counted twice, because we considered them in the group of Nepali readers and group of English readers)
The real quantity of only Nepali readers, only English readers and both language readers is 3000.
S0 3800-3000= 800 people - read in two languages
3000-800=2200 families read exactly one kind of these papers
Express x^2-8+5 in the form (x-a)^2-b where a and b are integers
Answer:
(x-4)^2-9 where a=4 and b=9
Step-by-step explanation:
x^2-8x+5
x^2-8x+16-16+5
(x-4)^2-9, a=4 and b=9
Write the ratio $150 : $450 : $750 in its simplest form.
Lets do
[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]
[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]
Simplified ratio is
[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]
Answer:
1 : 3 : 5
Step-by-step explanation:
$150 : $450 : $750
Divide each by 150
$150/150 : $450/150 : $750/150
1 : 3 : 5
Must show work! PLEASE DO THIS ASAP!
No links
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
x+y=4 and 2x+3y=2 then find x and y
Answer:
x=10, y=-6
Step-by-step explanation:
1) express x from the first equation x+y=4 x=4-y
2) It is the system of equations, so both equations are simultaneous.
you can replace x to 4-y in the second one
2 *(4-y) +3y=2
8-2y+3y= 2
y=-6
x= 4-y=4-(-6)=10
The answer is x=10, y=-6
Factorise : 4z² - 16z + 15
Answer:
(2z-5)(2z-3)
if the "A" term in a quadratic Ax^2 + Bx + C is NOT a "1"
first check to see if there is a commpon factor of a,b,c that can be pulled out
for example 2x^2 + 4x + 6 you can pull
out a 2.... 2(x^2 + 2x +3)
if not you multiply the values a*c
in you case 4*15 which is 60
now you factor the 60
1*60
2*30
-1*-60
-2*-30
10*6
-10*-1
etc
when you find the combination that ADDS UP TO THE B TERM
you rewrite the B term using the factors you forud...
SO -16z becomes -10z - 6z
put it in the original problem
4z^2 -10z - 6z + 15
if you get this far , the GROUPS WILL ALWAYS WORK
pull out a 2z from "4z^2 -10z"
and pull out a -3 from "- 6z + 15"
and magically you will see that the "left over stuff" is the same
2z(2z-5) -3(2z-5)
pull out common item
(2z-5) (2z-3) ... all done
Step-by-step explanation:
multiple AC ... 15*4 = 60
factor 60 to end up with -16
-10 * -6 = 60
rewrite (factor by grouping)
4z^2 -10z - 6z + 15
find groups
2z(2z-5) -3(2z-5)
(2z-5)(2z-3)
Your patient weighs 15 kg and is scheduled for to have an abdominal exploratory. You are instructed to provide 0.9% sodium chloride IV at a rate of 30ml/kg/hr. What will be the fluid rate be for your IV pump?
Answer:
[tex]V_f=450ml/hr[/tex]
Step-by-step explanation:
From the question we are told that:
Mass [tex]m=15kg[/tex]
Amount of NaCl IV [tex]n=0.9\%[/tex]
Rate [tex]R=30ml/kg/hr[/tex]
Generally the equation for fluid rate be for your IV pump is mathematically given by
[tex]V_f=mR[/tex]
Since
Rate is
30ml/kg/hr at 1kg patient Weight
Therefore
[tex]V_f=15*30[/tex]
[tex]V_f=450ml/hr[/tex]
If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year
Answer:
$3072
Step-by-step explanation:
It is given that :
I work for 4 hours everyday, working 2 days a week.
And in 1 hour , I get $8.
Therefore,
1 hour = $8
4 hours = 4 x 8
= $32
So, in 1 day working for 4 hours, I get $32.
∴ Working 2 days = 32 x 2
= $64
In 1 month, there are 4 weeks
So, in 4 weeks (or 1 month), I work for = 4 x 2
= 8 days
Therefore, in 8 days, I get = 8 x 32
= $256
Now there are 12 months in a year.
So, in 12 months , I will get = 12 x 256
= $3072
Therefore, in 1 year , I will get $3072.
A set of prime number between 5 and 15 . express it in listing and set builder methods.
Answer:
Step-by-step explanation:
{7,11,13}
Will Mark Brainlest Helppp please
Answer:
1
Step-by-step explanation:
a pair of coordinates defines a first number x, and as second number y (or the functional result).
so, we need to find the value of x that leads to 2 as functional result.
2 = x² + 1
1 = x²
x = 1
4(a)+8-a,if a=-2 evaluate each expression
Answer:
2
Step-by-step explanation:
4(a)+8-a
Combine like terms
4a-a +8
3a+8
Let a = -2
3(-2)+8
-6 +8
2
17. Write an equation in slope-intercept form for the line that passes through (0,6) and
is parallel to the line described by y = 2x +3.
Answer:
y = 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
The line passes through (0, 6 ) ⇒ c = 6
y = 2x + 6 ← equation of parallel line