Answer:
(5x + 2)(x - 7) = 5x² - 33x - 14Step-by-step explanation:
[tex](5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14[/tex]
Huilan's age is two times Thomas's age. The sum of their ages is 30 . What is Thomas's age?
Answer:
10
Step-by-step explanation:
10+20=30
20 is two times 10
Since Thomas's age is half, Thomas's age is 10
Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0
Answer:
sin x, –1
Step-by-step explanation:
did on edge
The coach fare to a theme park costs $21 for 3 people, what would be the cost for 6 people?
A) $42 B) $63 C) $140
Answer:
42
Step-by-step explanation:
You add 21 twice because 3 is half of 6
Answer:
A - 42
Step-by-step explanation:
21 x 2 = 42
3 x 2 = 6
The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?
Answer:
4
Step-by-step explanation:
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010
Choose the correct value for the linear correlation between latitude and August precipitation from: (i) r= -1, (ii) r=-0.700, (iii) r=-0.161 or (iv) r=-0.538
Answer:
hello your question is incomplete attached below is the missing part of the question
answer : r = - 0.161 ( iii )
Step-by-step explanation:
The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161 and this is because the data points are showing a less negative correlation
The length of a rectangular garden is 5 times its width.
Find the length and width if the area is 500 m^2. Has anyone who answer me to this question?
Answer:
10 m and 50 mStep-by-step explanation:
Givenl = 5wA = 500 m²To findLength and widthSolutionArea formula
A = lw A= 5w*w= 5w²5w² = 500w²= 100w = √100w = 10 mThen
l = 5w = 5*10 m = 50 m
From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?
Answer:
60.71
Step-by-step explanation:
Given that:
Consumption of poultry per capita is modeled by:
y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990
Per capita poultry consumption in 1992;
1992 ; t = 2
y=-.2125t^2 + 2.615t+56.33
Put t = 2 in the equation
y=-.2125(2)^2 + 2.615(2) +56.33
y = -.2125(4) + 2.615(2) + 56.33
y = - 0.85 + 5.23 + 56.33
y = 60.71
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb
Answer:
The probability is 0.0011 to 4 d.p
Step-by-step explanation:
Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45
q is weighing less than = 1-p = 1 - 0.45 = 0.55
So the probability of more than 12 weigh 65 lb
That means 13, 14 or 15 weigh more than 65 lb
We can use Bernoulli approximation of Binomial distribution to get this;
That would be ;
15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0
= 0.001107024147 Which is approximately 0.0011 to 4 decimal place
WILL MARK BRAINLIEST!!
1. Find 7% sales tax on a $48 purchase.
2. Find 6.5% sales tax on a $25 purchase.
3. You markup a $25 tool by 45%. What is the new price?
4. You markup a $40 watch by 75%. What is the new price?
5. You discount a $120 TV by 44%. What is the new price?
6. You discount a $65 coat by 25%. What is the new price?
PLEASE EXPLAIN HOW THAT ANSWER IS CORRECT, PLEASE HURRY! I NEED THIS FILLED OUT ASAP.
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
Answer:
y - 5 = -4(x + 1)
Step-by-step explanation:
The point-slope form is y - k = m(x - h). The point is (h, k): (-1, 5) and the slope is -4.
Here we have y - 5 = -4(x + 1)
The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Learn more about slopes here:
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Which function describes the sequence 3, 6, 12, 24.... for n = 1. 2. 3.... ? A. f(n) = 3.11 B. /(n) = x2 + 2 C. f(n) = 3(2-1) D. f(n) = (n - 1)2 + 3
Answer:
Tahukah kamu, mengapa motor berhenti di depan lampu merah?
karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.
Tebak binatang apa yang jago renang?
Bebek. Kalau ikan bukan renang tapi menyelam
Kenapa di rel kereta api ditaruh batu?
Soalnya kalau ditaruh duit nanti pada diambil.
PLEASE HELP MY MOM IS GOING TO HIT ME IF I DONT GET THIS RIGHT AND I HAVE 10 MINUTES TO FINISH MY TEST
solve the equation for y: 1/4y - 2x = 5
Answer:
x = (5-(1/4*y))/(-2) why does there have to be 20 characters lol
Answer:
y= 8x+20
Step-by-step explanation:
1/4y= 2x+5
y= 4(2x+5)
y= 8x+20
The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.
PLEASE HELP ASAP!!!!!!!!!!
Answer:
2 31/100
Step-by-step explanation:
what is the inverse function of c(n) = 4n + 20? show your work
Answer:
c(n) = 4n +20
let m = c(n)
m= 4n +20
make n the subject
m -20 =n
4.
inverse function of c(n)= n-20
4
It is a must that one replaces the m with the n in order to get the final answer
Will Give Brainliest To First Person!!! :)
What is the rule for exponents in parenthesis? Give an example of how you solve problems with exponents outside of parenthesis
sweet t is making a double batch of Pupcakes. he puts them in the oven at 6:50. they need to bake for 25 minutes
i would love to help but i just need free points
Step-by-step explanation:
PLEASE HELP!! (Give reasonable answer)
Answer: B
Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)
Which of the following is a rational number?
Answer:
B.)
Step-by-step explanation:
A rational number is a number with no repeating decimals or decimals that go on “forever” like pi. An expample of a rational number is 2 where 2.3333333... is not a rational number. Pi isn’t a rational number either since forth there is no known end to that.
So, when solved:
A.) = 1.58113883... (irrational)
B.) = -8 (rational)
C.) = 8.94427191... (irrational)
D.) = 3.794733192... (irrational)
I hope you see the pattern. Hope this helps!
Y=3/8x describes a proportional relationship between x and y. What is the constant of proportionality?
Answer:
The constant of proportionality k is 3/8
Step-by-step explanation:
We are given [tex]y=\frac{3}{8}x[/tex] which describes a proportional relationship between x and y. We need to define constant of proportionality
If y ∝ x then
y=kx where k is constant of proportionality.
Comparing the given [tex]y=\frac{3}{8}x[/tex] with y=kx, we can find value of k i.e constant of proportionality.
So, k= 3/8
Hence, The constant of proportionality k is 3/8
QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.
What is NS?
5 cm
10 cm
20 cm
30 cm
satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add
You take [tex]\frac{2}{7}[/tex] of [tex]400[/tex].
Which is: [tex]\frac{800}{7} = 114.8 mL[/tex]
What is the rate of change of y with respect to x for 25x-4y=50
Answer:
The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]25x - 4y = 50[/tex]
Required
Determine the rate of change of y w.r.t x
[tex]25x - 4y = 50[/tex]
First, make y subject of formula
[tex]4y = 25x- 50[/tex]
Divide through by 4
[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]
[tex]y = \frac{25x}{4} - 12.5[/tex]
Next, we differentiate the above w.r.t to x
The result of the differentiation is the solution to the question
[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]
[tex]y' = 1 * \frac{25x^0}{4}[/tex]
[tex]y' = 1 * \frac{25*1}{4}[/tex]
[tex]y' = \frac{25}{4}[/tex]
Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
What is derivative?Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .
Here given relation is 25x-4y=0
[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]
We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.
we can calculate derivative of y with respect to x as
[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]
As 25/4 is constant we can take it out from derivative function as it is
[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]
And we know derivative of a variable with respect to itself is 1
so
[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
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Will give brainliest if correct
Answer:
y=4
x=2
Step-by-step explanation:
y=4
x=2
I think it's right..
Hope I helped!
Answer:
x - intercept = 2
y - intercept = 4
Tuition for one year at the University of Houston is about $12,300 Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved 54,860 for his first year of
tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
(Answer Choices)
Azul will need to save $256 25 per month for the next 4 years
Azul will need to save $1,860 per month for the next 4 years.
Azul will need to save $620 per month for the next 4 years.
Azul will need to save $155 per month for the next 4 years
Which quadrant does the complex number -4 - 9i lie in?
a. Quadrant I
b. Quadrant III
c. Quadrant II
d. Quadrant IV
Answer:
Quadrant III
Step-by-step explanation:
because in quadrant III there is both negative terms
three sides of a quadrilateral are the same length. q. the length of the forth side is 7 inches. the perimeter of the quadrilateral is 40 inches
Answer:
3q+7=40 I know im a year late but this is for whoever needs it this year Step-by-step explanation:using algebra the value of q is 11 inches Mark me as brainliestThe length of the equal sides of the given quadrilateral comes to be 11 inches.
What is a quadrilateral?A quadrilateral is a polygon with 4 sides.
Suppose the length of the three equal sides =x inch
Length of the fourth side =7 inches
So, the perimeter of the quadrilateral = x+x+x+7
The perimeter of the quadrilateral = 3x+7
Given that the perimeter of the quadrilateral = 40inches
3x+7=40
3x=33
x=11
So, the length of three equal sides = 11 inches
Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.
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Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage
Answer:
72.5%
Step-by-step explanation:
Lets make his score a percentage: 58/80
Now covert it to a percentage: 58/80 = x/100
Cross multiply: 80x = 5800, x = 145/2
Divide 145 by 2: 72 1/2
Answer is 72.5%
I hope this helped, please mark Brainliest, thank you!
How do you write the algebraic expression: x=-2.5 like i mean the answer
Answer:
2.5 × t = 2.5 t
Step-by-step explanation: