Answer:
8
Step-by-step explanation:
The constant of proportionality is y/x since the graph goes through (0,0)
When y=16 x=2
16/2 = 8
Answer:
It is correct.
Step-by-step explanation:
The constant of proportionality is simply the slope. According to the graph, the rise is 16, and the run is 2, and 16 / 2 = 8.
Hope this helps!
What is the answer of .7 of which is 3.43
Answer:
4.9
Step-by-step explanation:
3.43/0.7
34.3/7=49
3.43/0.7=4.9
The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.
We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.
We represent "0.7 of x" as 0.7x.
So, the equation becomes:
0.7x = 3.43
To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:
(0.7x) / 0.7 = 3.43 / 0.7
The 0.7 on the numerator and denominator cancel out, leaving us with just x:
x = 3.43 / 0.7
Now, we perform the division:
x = 4.9
The value of x is approximately 4.9.
Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.
To learn more on Division click:
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(show all your working out)
Madeeha’s father won £149
He shared the money between his three children in the ratio 6:3:1
Madeeha was given the biggest share.
a) Work out how much money Madeeha was given.
b) She saved of her share.
How much did she save?
Answer:
She received £89.4
and she saved £67.05
Step-by-step explanation:
The complete question is as follows;
Madeeha’s father won £149.
He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.
(a) Work out how much money Madeeha received.
(b) Madeeha saved 3/4 of her share.
Work out how much Madeeha saved.
Answer;
The total ratio is 6 + 3 + 1 = 10
Since madeeha was given the biggest share, that means she is given 6 out of 10 portions
So the amount she was given would be ;
6/10 * 149 = £89.4
Now we were told she saved 3/4
Amount saved would be 3/4 * 89.4 = £67.05
What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕
Answer:
-5
Step-by-step explanation:
We can find the slope between two points by using
m = (y2-y1)/(x2-x1)
= ( -9-6)/(-6 - -9)
=(-9-6)/( -6+9)
-15/3
-5
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)
m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C
The production of rice increased by 50% from 1995 to 1996 by what percentage should the production of rice be increased from 1996 to 1997 so that the production of prize in 1997 become six times that of 1995
Answer:
300%
Step-by-step explanation:
Let the production of rice in 1995 be x.
From 1995 to 1996, the production increased by 50%
This implies that the production of rice is now:
(100 + 50) / 100 * x = 150/100 * x = 1.5x
It means the production is now 1.5 that of 1995.
We want the production in 1997 to be 6 times that in 1995, that is 6x, this implies that we have to find the percentage increase from 1996 to 1997:
(100 + P) / 100 * 1.5x = 6x
By cross-multiplying:
100 + P = 6x * 100 / 1.5x
100 + P = 400
P = 400 - 100
P = 300%
Therefore, the production must be increased by 300%.
Please answer it in two minutes
Answer:
21/20, or 1.05.
Step-by-step explanation:
In this case, the measure of angle R is the same as angle V.
To find the tangent of a triangle, you do opposite over adjacent.
So, the tangent of angle V is 21 / 20.
That means that tan(R) = 1.05.
Hope this helps!
If m<1=45 then what is the measure of <2
HELP!!!
Hey there! :)
Answer:
m∠2 = 135°.
Step-by-step explanation:
∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:
m∠2 = 180 - m∠1
m∠2 = 180 - 45
m∠2 = 135°.
Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?
Answer:
$35.2
Step-by-step explanation:
Marked price of hat = $40
Sale discount = 20%
discount in $ = 20% of $40 = 20/100 * 40 = $8
Thus, sale price = marked price - sale discount = $40 - $8 = $32
Now it is given that there is sales tax of 10%
This sales tax will be applied on sale price
thus,
sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2
Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2
Thus, Bob ended up paying $35.2 for the hat.
Point M divides line segment AB, in the direction from A to B, in a ratio of 5 to 3. What value on the number line would indicate the location of point M? A = --6, B = 3
Answer:
The coordinates of point M is -0.375.
Step-by-step explanation:
Given that point A = -6 and point B = 3
Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;
Length from A to M = 5/(5 + 3) × Length of segment AB
Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;
Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625
Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8
The coordinates of point M = -0.375.
Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1
Answer:
f(1) = 0
Step-by-step explanation:
If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0
Answer: x+1 plus the fator
Step-by-step explanation:
Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso
Answer:
Supongo que tenemos dos ángulos A y B
"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)
A/2 + B/3 = 15°
A/2 = 15° - (B/3)
A = 30° - 2*(B/3)
Ahora queremos calcular:
2*sin(3*A)/cos(2*B)
pero podemos reemplazar A por lo que tenemos arriba:
2*sin(3*(30° - 2*(B/3)))/cos(2*B)
2*sin(90° - 2*B)/cos(2*B)
y como sabemos,
Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)
entonces:
2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57
Answer:
34%
Step-by-step explanation:
According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.
Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.
Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 = 34%.
I Need the answer ASAP PLEASE HELPPPP What is 7/ 16 · 1 /2 ? A) 7/ 8 B) 7/ 32 C) 14/ 32 D) 7 /64
Answer:
B
Step-by-step explanation:
7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this
7 x 1
and 16 x 2
using this logic you can multiply both fractions to make
7/32
Answer:B) 7/ 32
alll you gotta do is multiply across and its already simplified
The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?
Answer:
23 mSolution,
Let the length of tunnel be 'l'
Area=25 m^2
Volume of tunnel= cross sectional area* length
[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]
Hope this helps..
Good luck on your assignment..
which of the following sum in simplest form (radicals)
Answer:
9√2
Step-by-step explanation:
Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.
Answer:
9√2Option C is the correct option.
Solution,
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]
Hope this helps...
Good luck on your assignment..
Can someone help me with this question please.
Answer: The length of PQ is 37 KM
Step-by-step explanation:
(x+15) + 3(x+15)+ x=245
distribute
(x+15) + 3x+45+x
remove parenthesis
x + 15 + 3x + 45 + x
Add like terms
5x + 60 = 245
Subtract 60 from both sides
5x + 60 - 60 = 245 - 60
5x = 185
divide by 5
x = 37
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Find the domains of the following functions: y= 1/x-2
Answer:
x is all real numbers, where x ≠ 2
Step-by-step explanation:
Domain is the input of x-values that can work in a function. Since we can't have 0 in the denominator (undef error), we have to exclude x = 2, as it will make the denominator 0. However, every other x-value works.
Of the bundles delivered daily to the store, 1/3
consists of the morning edition of The Daily Sun.
Another 2 bundles are made up of the afternoon
edition of the same paper. Of the remaining
bundles, 1/2 is regional, one is a local
newspaper, and one is from another state. How
many bundles are delivered daily to the
bookstore?
Answer:
x=9
Step-by-step explanation:
Let total bundle=x
Morning edition of the daily sun=1/3x
=x/3
Afternoon edition of the daily sun=2
That leaves 2x/3 - 2, of which
x/3 - 1 are regional
1 is local
1 from another state
Sum everything
x = x/3 + 2 + x/3 - 1 + 1 + 1
x=2x/3 +3
x-2x/3=3
3x-2x/3=3
x/3=3
Cross product
x=3×3
x = 9
Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)
Answer:
(1,-1)
Step-by-step explanation:
If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.
3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?
Answer:
15
Step-by-step explanation:
1 is neither prime nor composite
2 is the smallest prime
3 is the next smallest prime
5 is the next smallest
but 2,3,5 do not make a triangle
The third side must be smaller than the sum of the other two
2+3 <5 not equal to
7 is the next prime
3,5,7 are the three sides of the triangle
P = 3+5+7
P = 15
which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER
Answer:
B. regular octagon
I hope this will help you
What is the slope-intercept equation for the line below?
(0.1) (4. 3)
Answer:
y=1/2x+1
Step-by-step explanation:
You can use the equation (y1-y2)/(x1-x2) to find the slope of the line with the given points. You put your y-values on top and x values on bottom, subtracting them to get 3-1/4-0. Then you simplify to get 2/4 or 1/2 as the slope. You then get y=1/2x+b. You can use one of the given points as x and y to solve for b. using (0,1) as x and y you get the equation 1=1/2(0)+b, after multiplying you get 1=0+b, or 1=b. Now that you have b you can make the equation, y=1/2x+1.
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x
Answer:
The correct option is;
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
The rule for the reflection across the x-axis is as follows;
Reflection about the x-axis
Pre-image point before reflection = (x, y)
Point of image after reflection = ((x, -y)
Therefore, the x coordinate remains the same while the y coordinate changes sign
For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have
Reflection about the x-axis
Pre-image point before reflection = (x, f(x))
Point of image after reflection = (x, g(x))
Hence g(x) = -f(x) = -2/5(10)x.
Answer:
A
Step-by-step explanation:
Briana is excited because she has just been hired by a family to babysit on Saturdays. She’s looking forward to earning some extra spending money! The family will pay her $12 per hour for a maximum of 8 hours. Brianna makes a table to show her earnings for different numbers of hours. Help her complete the table.
List the hours from 1 to 8
Multiply the hours by how much she is paid per hour ( $12)
X: 1, 2, 3, 4, 5, 6, 7, 8
y: 12, 24, 36, 48, 60, 72, 84, 96
A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You must show your working.
Answer:
£0.465. It is a better value.
Step-by-step explanation:
If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;
6batteries = £2.79
1 battery = x
x = cost of a battery
6x = £2.79
x = £2.79/6
x = £0.465
Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.
What type of triangle has these side lengths
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²
[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]
19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.
Question 2 Part A Use your responses to the previous questions, as well as your economic knowledge and terminology, to compose two well-written paragraphs that respond to the following question: What is the potential impact on the South African communities local economy from the game reserves investment in the clinic? Be sure to use these concepts in your writing: human capital health care PPC GDP infrastructure Your paragraphs should include a topic sentence as well as introductory and concluding sentences.
Answer: The game reserve’s investment in the clinic has the power to transform the rural South African community shown in the video. The game reserve is an important source of income for the community. The money from the reserve benefits the community by facilitating the building of infrastructure, such as schools and child-care facilities. These operations in turn generate employment.
The game reserve and the schools require a workforce and human capital. However, the workforce in the rural area is vulnerable to deadly diseases because of the HIV epidemic and poor sanitation. By investing in a mobile clinic and giving free medical treatment to those in the community, the game reserve can nurture its human capital and extend life expectancy in the area. If people are healthy and educated, they can work, be productive, and participate in community development. By protecting the workforce from death and disease, the game reserve can drive economic growth.
Step-by-step explanation:
Answer:
The investment for the game reserve is in the center and has the ability to change the country, South African people group appeared in the video. The game hold is a significant type of revenue for the local area. The cash from the hold benefits the local area by encouraging the structure of framework, for example, schools and kid care offices. These activities thus produce business.
The game reserve and also schools require a labor force and human resources. Notwithstanding, the labor force in the country territory is defenseless against destructive sicknesses due to the HIV pandemic and helpless disinfection. By putting resources into a portable facility and giving free clinical treatment to those locally, the game hold can support its human resources and broaden future nearby. On the off chance that individuals are sound and taught, they can work, be beneficial, and partake in local area improvement. By shielding the labor force from death and infection, the game hold can drive financial development.
Step-by-step explanation:
Write area square units answer
The rectangle is 13 units long by 6 units wide.
Area = Length x width
Area = 13 x 6 = 78 square units.
im having trouble with this :(
x/3 = -9 plz solve this
Answer:
x=-27
Step-by-step explanation:
To solve this equation, we need to find out what x is. Therefore, we must get x by itself.
x/3= -9
x is being divided by 3. We want to perform the inverse operation, which is multiplication. Multiply both sides of the equation by 3.
3*(x/3)=-9*3
x= -9*3
x=-27
Let’s check out solution. Plug -27 back in for x.
x/-3= 9
-27/-3=9
9=9
This checks out, so we know our solution, x= -27, is correct.
If a sample of 234 customers were taken from a population of 3620 customers, could refer to the variance of how many of the customers' ages?
If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?
A. 234
B. 3620
C. Both 234 and 3620
D. Neither 234 nor
3620
Answer: 234
Step-by-step explanation:
Sample distribution = 234 customers
Population distribution = 3620 customers
S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.
The sample variance is given by:
s^2 = (x - mean) / n - 1
where ;
n = number of observation in sample
s^2 = sample variance
mean = statistical mean of sample data
n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.