Step-by-step explanation:
x = 3
y = - 2
z = 6
Question:[tex]7xyz[/tex]
Solution,
= 7 × 3 ( - 2 ) × 6
= 21 ( - 2 ) × 6
= - 42 × 6
= - 252
hence the answer is - 252....
Help??
x^2 - 5x + 6
I dont need the answer, I have done the steps and gotten to x(x-2)-3(x-2)
I know the answer is (x-2)(x-3)
How do you get (x-2)(x-3) from x(x-2)-3(x-2) ?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Solve x²-5x+6
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
(x-2)(x-3)
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, we think of two numbers such that
If we multiply them, we'll get 6
If we add them, we'll get -5
These numbers are -2 and -3.
Write them here:
(x-2)(x-3)
Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?
Notice that (x-2) is the common term, so we factor it out:
(x-2)
And now, we write the other two terms that are left in the parentheses:
(And the terms left are x and -3)
(x-2)(x-3)
Notice that we ended up with the same answer.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The circumference of a circle is 113.04 centimetres. What is the circle's radius?
Use 3.14 for .
Answer:
18 centimeters
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius
Does anyone know the answer? Please and Thank you!
Answer:
no because nkow one can explain
Mr sithole intends to renovate his ceiling which is falling the carpenter quoted him R16000 for materials and labor .Mr sithole does not have the required cash at the moment he plans to borrow the money since the repairs are urgent .Mr sithole approached two bank A offered to lend him R16000 for five years at 18% per annum simple interest . bank B will lend him R16000 for five years at 16% interest compounded per annum.
Bank B will cost him R3205 MORE.
He must go with Bank A.
find maclaurin series
Recall the Maclaurin expansion for cos(x), valid for all real x :
[tex]\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}[/tex]
Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives
[tex]\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}[/tex]
The first 3 terms of the series are
[tex]\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}[/tex]
and the general n-th term is as shown in the series.
In case you did mean cos(√(5x)), we would instead end up with
[tex]\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}[/tex]
which amounts to replacing the x with √x in the expansion of cos(√5 x) :
[tex]\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}[/tex]
Find the slope of the line passing through the points (-6,7) and (-8,5)
Answer:
Slope = 1
Step-by-step explanation:
The angle 01, is located in Quadrant II, and cos(01) = -12/19
What is the value of sin(01)?
Answer:
sqrt(217)/19
Step-by-step explanation:
Ok so insead of using 01 as the angle ill use x. cos(θ) is the the x-value of the point on the unit circle, while sin(θ) is the y value. cos(x) here is -12/19. By constructing a triangle such that one of the verticies is at (-12/19, sin(x)), we know the x distance is -12/19, and the hypotenues is 1, because it's a unit circle. sqrt(1-144/361)=sqrt(217/361)=sqrt(217)/19. the y value must e positive because this point lays in the 2nd quadrant.
my explanation might be a but tricky so let me know if you have any questions.
Answer:
see explanation
Step-by-step explanation:
Patton is organizing his stamp collection into a book. He has 42 foreign stamps and 70 U.S. stamps. He wants every page to have the same number of foreign stamps and the same number of U.S. stamps. He also wants to put the greatest possible number of stamps on each page. How many pages will he use?
A) 2
B) 6
C) 10
D) 7
Answer:
D. 7
Step-by-step explanation:
42 + 70 = 112 stamps altogether.
112 can be divided by 2, 4, 7, 8, 14, 16, 28, 56
to be more simpler, since there are options, we can cross out the other numbers not shown in the options. then see that 6 and 10 are not divisible by 112, so cross them out. it will left with option A and option D.
option A is 2. if he uses two pages, then each page should have a total of 56 stamps. however, foreign stamps have an amount of 42 only, so it is quite impossible to fit in more than 42.
option D is 7. if he uses 7 pages, then each page could fit in 16 stamps.
so the answer will be option D.
Please solve with explanation (high points)
The distance from point P to the foot of the flagpole is 13.42m. So, The height of the flagpole will be 17.7 m.
What are the six trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
We know that
[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
Let x be the distance from point P to the foot of the flagpole.
So, From point P the height h of the flagpole will be
[tex]tan(53) = \dfrac{height}{x}\\\\tan(53) x = h\\\\h = 1.32x[/tex]
From point Q, the height h will be
[tex]tan(28) = \dfrac{height}{20+x}\\\\tan(28) (20+x )= h\\\\h = 0.53 (20+x )[/tex]
From both values of h, we get
x = 13.42
Put the value of x in the first value of h,
h = 1.32 ( 13.42)
h = 17.7
Hence, the height of the flagpole will be 17.7 m.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
#SPJ1
What’s the answer to this question
Answer: 6h + 4.5d + 10 = 61
Explanation: We know that peanuts cost 5 each, and they bought two. So, 10 dollars.
We don't know how many hotdogs or drinks they've bought so that will be our variable.
Hot dogs = 6$
Drinks = 4.5$
Total Price = 61
6h + 4.5d + 10 = 61
Please help
Step by step
The consumption of electricity in May based on the model will be 1225kw.
How to calculate the consumption?The model that's given to calculate the consumption is:
C = 1200 + 5t
May = 5th month
The consumption in May will be:
C = 1200 + 5t
C = 1200 + 5(5)
C = 1200 + 25
C = 1225Kw
In conclusion, the consumption of electricity in May based on the model will be 1225kw.
Learn more about consumption on:
https://brainly.com/question/24741444
#SPJ1
Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.
tan( ∅ - x )
By definition of tangent,
tan(θ - x) = sin(θ - x) / cos(θ - x)
Expand the sine and cosine terms using the angle sum identities,
sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)
cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)
from which we get
tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))
Also recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
from which we have two possible values for each of cos(θ) and sin(x):
cos(θ) = ± √(1 - sin²(θ)) = ± 3/5
sin(x) = ± √(1 - cos²(x)) = ± 12/13
Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :
• cos(θ) = 3/5, sin(x) = 12/13 :
tan(θ - x) = -56/33
• cos(θ) = -3/5, sin(x) = 12/13 :
tan(θ - x) = 16/63
• cos(θ) = 3/5, sin(x) = -12/13 :
tan(θ - x) = -16/63
• cos(θ) = -3/5, sin(x) = -12/13 :
tan(θ - x) = 56/33
Now
cos(ø-x)
cosøcosx+sinøsinx(3/5)(-5/13)+(4/5)(12/13)(33/65)sin(ø-x)
sinøsinx-cosøcosx48/65+33/6581/65So
tan(ø-x)
sin(ø-x)/cos(ø-x)81/65÷33/6581/3327/11Answer it please!!!! I need help with it!
Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:
C. 1.
What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, the function is defined by:
[tex]g(x) = \left(\frac{1}{2}\right)^{x-3}, x < 2[/tex].[tex]g(x) = x^3 - 9x^2 + 27x - 25, x \geq 2[/tex].Due to the equal sign, x = 2 is part of the second definition, hence:
g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.
Which means that option C is correct.
More can be learned about piece-wise functions at https://brainly.com/question/24734454
#SPJ1
Find the circumference of Circle, if the diameter of the circle is 2 feet,
Answer:
6.28 ft
Step-by-step explanation:
The formula for the circumference of a circle is C = 2[tex]\pi[/tex]r.
The radius is half of the diameter. If the diameter is 2 feet, then the radius is 1 foot.
Plugging in the given, values, we have C = 2[tex]\pi[/tex](1). We can now solve.
note: [tex]\pi[/tex] = 3.14
C = 2(3.14)(1)
C = 6.28
hope this helps!
Pls help me and show work! Thank you <3
Answer: C
Step-by-step explanation:
By the alternate interior angles theorem, we know that [tex]5y+14=8y-13 \longrightarrow y=9[/tex].
So, this means that [tex]m\angle RPS=59^{\circ}[/tex].
Now, if we consider [tex]\triangle RPS[/tex], since angles in a triangle add to [tex]180^{\circ}[/tex], this means that [tex]59+2x+1+3x=180 \longrightarrow x=24[/tex].
So, [tex]m\angle RSP=\boxed{59^{\circ}}[/tex]
pls help Will mark brainliest!! One x-intercept of y = x2 + bx + 10 is 5.
a. How you can find the value of b?
b. What is the value of b?
c. What is true about the x-intercepts of this function?
The value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x-intersept.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
Number 5 is the one x-intercept of the equation,
[tex]y = x^2 + bx + 10[/tex]
Put the value of y as 0 and x as 5 at the to find the value of b.
[tex]0= 5^2 + b\times 5 + 10\\0= 5^2 + b\times 5 + 10\\0=25+5b+10\\5b=35\\b=7[/tex]
Thus, the value of b is 7.
The given equation is a quadratic equation, and a quadratic equation may have 2 x-intercept. Thus, the true statement is that x-intercepts of this function can be up to 2.
Hence, the value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x intercept.
Learn more about the x-intercept here;
https://brainly.com/question/8018800
#SPJ1
The table below summarizes the number of children per household for a sample of 36 high-income families.
Number of households
Number of children
16
13
What is the mean number of children per household for these families? Round your answer to at least one decimal place.
Using the given table, it is found that the mean number of children per household for these families is of 2.33.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
Researching the problem on the internet, the table states that:
2 households have 4 children.16 households have 2 children.13 households have 3 children.5 households have 1 children.The total number of children is given by:
T = 2 x 4 + 16 x 2 + 13 x 3 + 5 x 1 = 84
Hence the mean number of children for the 36 households is given by:
M = 84/36 = 2.33.
More can be learned about the mean of a data-set at https://brainly.com/question/24628525
#SPJ1
In step 2, how do you know that 5x? and -12x? are like terms? If you could please help me with 1,2,3 if not just 2
Find the sum between 309 and 908
Answer:
1217 I think
Step-by-step explanation:
Answer:
1217
Step-by-step explanation:
309 and 908 combined together is 1217
3(a+1.5)= -1.5 what does a equal
Answer:
-2
Step-by-step explanation:
3(a+1.5)=-1.5
a+1.5 = - 1.5/3 = - 0.5
a = - 0.5 - 1.5 = - 2
Answer:
Step-by-step explanation:
3a + 4.5 = -1.5
3a = -6
a = -2
Please i need your hep
Answer:
a. 3
b. 12
c. In. and "
d. ft. and '
Step-by-step explanation:
c. 13in. or 13"
d. 13ft. or 13'
3x2 = 75 - Find the value of x.
- - - - - -- - - - - - - - - - - - - - -- - - - - - - -- - - - - - - - -- - - - - - - - -- - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
3x²=75. What is x?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, divide by 3 on both sides:-
x²=25 Next, take the square root of both sides:-
x=5, x=-5 (remember, x² =x times x (x times itself); 5 times itself gives 25, and -5 times itself also results in 25)
[tex]\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{So\:the\:value\:of\:x\:is\:5\:and\:-5}}}}\dashleftarrow[/tex]
Good luck.- - - -- -- - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - -- - - - - - -- -
What is the volume of the figure, in cubic centimeters?
Answer:
72 cm³
Step-by-step explanation:
Split the figure into 2 parts :
Top cuboidLower cuboidVolume of Lower Cuboid
V = 6 x 4 x 2V = 24 x 2V = 48 cm³Volume of Top Cuboid
V = 3 x 4 x (4 - 2)V = 12 x 2V = 24 cm³Total Volume
48 cm³ + 24 cm³72 cm³The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9
Step-by-step explanation:
The domain of the function is all real numbers less than or equal to −2 - FALSE;
The domain of the function is all real numbers less than or equal to 9 - FALSE;
The range of the function is all real numbers less than or equal to −2 - FALSE;
The range of the function is all real numbers less than or equal to 9 - TRUE.
PS. the domain is (-∝;+∝); the range is (-∝;9].
Find the mean, variance, and standard deviation of the binomial distribution. (round to the
nearest thousandths when needed)
Sixty-eight percent of families say that their children have an influence on their vacation
destinations. Consider a random sample of six families who are asked if their children
have an influence on their vacation destinations.
Which expression represents the quotient of seventeen and four?
Answer:
17/4
or
17 ÷ 4
Step-by-step explanation:
This equals 4.25.
hope this helps
have a good day
The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Convert the statement 'quotient of seventeen and four' into a mathematical expression. Then we have
⇒ 17 / 4
Convert the fraction number into a mixed fraction number, then we have
⇒ 17 / 4
⇒ 4 ¹/₄
The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The missing options are given below.
A. 4 1/4 B. 4 3/4 C. 3 1/4 D. 3 3/4
neighborhood on her cell ph
notices that the park near her house
is 0.5 cm wide. She zooms in until it is
3 times larger. If the park is 15 m wide
what is the scale of her zoomed-in
map?
A 10 cm = 1 m
(A)
B 1 cm = 10 m
(
C 1 cm = 30 m
D 3 cm = 10 m
Answer:
1 = 10
Step-by-step explanation:
0.5 x X = 15
15/0.5 = 30
30/3 = 10
Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)
Make sure you round you answer to the nearest whole number
Answer:
x=1.13
Step-by-step explanation:
isolate the variable and the numbers and solve.
Alexandra wanted to make a doormat to place at her front door. Below is the scaled drawing she will use to make it.How much material will Alexandra need to make this doormat
Answer:
112.5 pi
Step-by-step explanation:
hi, to find this we need to know the formula for the area of a circle. it is:
a=pi*radius^2
so the radius is 30/2=15
now we can just plug 15 in to find the area.
a=pi*15^2
a=225pi
now, that is the area for the full circle, but here it is a semi circle, so we just divide 225 pi by 2 to get
112.5 pi, or 112.5π
Philippa took out a $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50. Calculate the effective interest rate of this loan, to the nearest 0.01%
The effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
Philippa took out an $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50.
Then the effective interest rate of this loan, to the nearest 0.01% will be
So, from the question the interest that is deducted = $860-$838.50 = $21.50
Now, I = Prt/100
So, t = 100 (I/Pr) = 0.42 years = 5months
therefore m = 5months
So, the effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.
I = Prt/100
Therefore, r = 100 (I/Pt) = 6.15%
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ1