Answer:
y = kx where k>0
Step-by-step explanation:
A direct variation is in the form
y = kx
where k is a numerical positive constant ( i.e. > 0 )
Answer:
0
Step-by-step explanation:
If she puts 0 in the box she would have a direct variation.
Step-by-step explanation:
Given : She writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of other, we said they are in Direct variation.
That is in form of y = ax , here y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of missing term has to be 0.
then equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Hello!, im a little stuck on this
Answer:
61 seats.
Step-by-step explanation:
This is an example of an arithmetic sequence.
The formula for this is an = a + (n - 1)d
Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.
We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.
a19 = 25 + (19 - 1) * 2
a19 = 25 + 18 * 2
a19 = 25 + 36
a19 = 61
So, there are 61 seats in the 19th row.
Hope this helps!
Answer:
i think 61 i hope im right
Step-by-step explanation:
Which rules could describe the rotation? Select two options. R0, 90° R0, 180° R0, 270° (x, y) → (–y, x) (x, y) → (–x, –y)
Answer:
R0,180(x,y)->(-x,-y)
Step-by-step explanation:
R0,180(x,y)->(-x,-y)
We note that
X(-2,2) has been transformed to X'(2,-2), and
Y(1,2) has been transformed to Y'(-1.-2)
[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex] are the choice that's description can be defined as follows:
It implies we rotate the triangle 900 times clockwise.The point Z has been on the Positive Y-Axis, rotating this Figure by 1800 will place that on the Negative Y-Axis. In addition, Point Y results in the Fourth Quadrant.We can observe that the solution figure has been flipped twice along the vertical axis and once along the horizontal plane.Both X and Y values would be multiplied by -1 if we applied this change.Therefore, the final choice are "[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex]".
Learn more:
brainly.com/question/4546154
The isosceles triangle and the square shown here have the same area in square units. What is the height of the triangle, $h$, in terms of the side length of the square, $s$?
Answer:
h = 2s
Step-by-step explanation:
Area of square is equal to the area of triangle in this question.
the area of the square is s²
the area of the triangle is [tex]\frac{1}{2}[/tex] *h*s
s²= [tex]\frac{1}{2}[/tex] *h*s
s = [tex]\frac{1}{2}[/tex] *h
2s = h
hope that helps
Use the rule y=-x+ 7 to fill in the blank.
If (-1, y) is on the graph, then y=
Answer:
(-1,6)
Step-by-step explanation:
y=-x+ 7
Let x = -1
y = -1+7
y = 6
Find the x- and y-intercept of the line.
5x – 4y = 40
A x-intercept is -4; y-intercept is 5.
B x-intercept is - 10; y-intercept is 8.
Cx-intercept is 5; y-intercept is -4.
D x-intercept is 8; y-intercept is -10.
Answer:
D
Step-by-step explanation:
you can put the function in your graphing calculator & the x-intercept is where the line crosses threw the line that goes left & right vise versa for the y-intercept.
5. Three business partners Bela, Joan and Trinity contributed Ksh.112,000.Ksh.128,000 and Ksh.128,000
respectively to start a business. They agreed to share their profit as follows:
30% to be shared equally
30% to be shared in the ratio of their contributions
40% to be retained for the running of the business.
If at the end of the year the business realized a profit of ksh. 1,350,000
Calculate
(1mk)
a) The amount of money retained for the running of the business at the end of the year
40% is kept for the running of the business.
Multiply the profit by 40%
1,350,000 x 0.40 = 540,000
The amount kept for the business is 540,000
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 womenis to be formed. How many different committees are possible if 2 of the men refuse toserve together? How many different committees are possible if 1 man and 1 womanrefuse to serve together?
Answer:
a) 896 ways
c) 910 ways
Step-by-step explanation:
The question is a combination problem since it has to do with selection. In combination, if r object is selected from a pool of n objects, this can be done in nCr ways.
nCr = n!/(n-r)!r!
If from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed, we need to first calculate the total committee formed without any condition.
8C3 × 6C3
= 8!/5!3! × 6!/3!3!
= 8×7×6×5!/5!×6 × 6×5×4×3!/3!×6
= 56×20
= 1120ways
Now if;
a) two of the men refuse to serve together.
Since two men refuse to serve together, we will select 1 man from remaining 4 men since two has already been selected then select 3 from 8 women as shown.
4C1×8C3
= 4×56
= 224ways
Number of ways this can be done will be 1120-224 = 896ways
b) 1 man and 1 woman refuse to serve together
We need to choose 2 men from remaining 5 and 2 women from the rest of the men which is 7 as shown:
= (8-1)C(3-1) × (6-1)C(3-1)
= 7C2 × 5C2
= 7!/5!2! × 5!/3!2!
= 7×6×5!/5!×2 × 5×4×3!/3!×2
= 21×10
= 210ways
The number of ways this can be done will be 1120-210 = 910ways
The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot. A number line going from 1 to 13. 2 dots are above 2. 1 dot is above 3. 3 dots are above 6. 2 dots are above 7. 3 dots are above 8. 1 dot is above 11. 2 dots are above 12. Which statement must be true according to the dot plot? The data is symmetric and shows that he typically sent about 6 to 8 text messages per day. The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts. The data is skewed and shows that he typically sent about 6 to 8 text messages per day. The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.
Complete Question:
The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot.
Which statement must be true according to the dot plot?
A) The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.
B) The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.
C) The data is skewed and shows that he typically sent about 6 to 8 text messages per day.
D) The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts
*Check attachment for the dot plot referred to
Answer:
A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day
Step-by-step explanation:
Taking a look at the dot plot given in the attachment below, we can observe that most of the data set are concentrated in the middle of the dot plot than both ends of the dot plot. With this, we can infer that the distribution of the data is symmetric.
The dot plot also tells us that, 6 and 8 text messages have more frequency than any other data set on the dot plot. This also suggests that Reza usually sends 6 to 8 messages in a day.
Therefore, the statement that is true about the dot plot is:
"A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day"
Answer:
A
Step-by-step explanation:
What is the solution set of {xlx<-3}{xlx>5)?
all real numbers
all numbers except -3 and 5
the empty set
the numbers between -3 and 5
Explanation:
The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc
The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...
Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.
There are no solutions. Since there are no solutions, the solution set is the empty set.
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Answer:
The other side = [tex]\frac{1}{12}[/tex] units
Step-by-step explanation:
A right triangle has a side of length [tex]\frac{1}{4}[/tex] units and;
the hypotenuse is [tex]\frac{1}{3}[/tex]
According to Pythagorean theorem,
a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.
Lets say a² = [tex](\frac{1}{4}) ^2[/tex] and c² = ([tex](\frac{1}{3} )^2[/tex]
b² = c² - a²
b² = [tex]\frac{1}{9}[/tex] - [tex]\frac{1}{16}[/tex] = [tex]\frac{1}{144}[/tex]
So b = [tex]\sqrt{1/144}[/tex] = [tex]\frac{1}{12}[/tex] units.
So the other side = [tex]\frac{1}{12}[/tex] units.
tim spends 25% of his time at the gym dooing leg exercises , 1/5 on shoulder exercises , 0.35 on biceps exercises , and warming up . what percentage of time does tim spend warming up
Answer:
20%
Step-by-step explanation:
25%+(35%)+(20%)=80%
100-80=20%
6. Yolanda's Purse
Yolanda finally cleaned her purse, and she found 40 coins at the bottom of her purse! All her
coins were dimes and pennies. Altogether she had $2.29. How many dimes and pennies did
she find? Make your own chart.
Answer:
She found 19 pennies and 21 dimes
Step-by-step explanation:
Let the number of dimes present be d and the number of pennies present be p
From the question, the total of both is 40
Mathematically;
p + d = 40 •••••••(i)
While a penny worths 1 cent, a dime is worth 10 cents
Total penny amount would be 1 * p = p cents
While total dime amount would be 10 * d = 10d cents
Before we add both to give the total amount, let’s convert this total amount to cents and that would be 2.29 * 100 = 229 cents
So mathematically;
p + 10d = 229 •••••••(ii)
So let’s solve both equations simultaneously
From i) p = 40 - d
let’s put this into equation ii
40 - d + 10d = 229
40 + 9d = 229
9d = 229-40
9d = 189
d = 189/9
d = 21
Recall;
P = 40-d
P = 40-21
P = 19
Suppose you park your car at a trailhead in a national park and begin a 2-hr hike to a lake at 7 A.M. on a Friday morning. On Sunday morning, you leave the lake at 7A.M. and start the 2-hr hike back to your car. Assume the lake is 3 mi from your car. Let f(t) be your distance from the car r hours after 7 A.M. on Friday morning and let g(t) be your distance from the car t hours after 7 A.M. on Sunday morning.
a. Evaluate f(0), f(2), g(0), and g(2).
b. Let h(t) = f(t) - g(t). Find h(0) and h(2).
c. Use the Intermediate Value Theorem to show that there is some point along the trail that you will pass at exactly the same time of morning on both days.
Answer:
The answer is given below
Step-by-step explanation:
The distance from the lake to the car is 3 miles and it takes 2 hours. The velocity of the hiker is 3/2 mi/hr. Therefore f(t) which is the distance from the car t hours after 7 A.M is given by:
[tex]f(t)=\frac{3}{2}t[/tex]
When coming back on Sunday morning, the distance g(t) from the car at any point in time is given by:
[tex]g(t)=3-\frac{3}{2}t[/tex]
a)
[tex]f(t)=\frac{3}{2}t\\f(0)=\frac{3}{2}(0)=0\ mile\\f(2)=\frac{3}{2}(2)=3\ miles[/tex]
[tex]g(t)=3-\frac{3}{2}t\\g(0)=3-\frac{3}{2}(0)=3\ miles\\g(2)=3-\frac{3}{2}(2)=2-2=0\ mile\\[/tex]
b)
[tex]h(t)=f(t)-g(t)=\frac{3}{2}t -(3-\frac{3}{2}t)=\frac{3}{2}t -3+\frac{3}{2}t=3t-3\\h(t)=3t-3\\h(0)=3(0)-3=0-3=-3\\h(2)=3(2)-3=6-3=3[/tex]
c)
According to Intermediate Value Theorem, there exist a point b where f(b) = g(b). i.e. f(b) - g(b) = 0
[tex]h(b)=f(b)-g(b)=0\\h(0)=-3,h(2)=3[/tex]
This means there exist a point b within the interval [-3, 3] where f(b) - g(b) = 0
Given the proportion 3/4 = x/10 , the value of x is:
Answer:
7.5
Step-by-step explanation:
given:
3/4 = x/10 (multiply both sides by 10)
(3/4)(10) = x
x = 30/4
x = 7.5
The value of x is 7.5
Given:
The proportion 3/4 = x/10
3/4 = x/10
30 = 4x
30/4 = x
7.5 = x
Therefore, the final answer is 7.5.
Learn more about proportion here:
https://brainly.com/question/31152348
#SPJ4
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set? (–∞ , two-thirds] (–∞ , two-thirds) (two-thirds, ∞) [two-thirds, ∞)
Answer:
correct choice is C ( ,∞).
Step-by-step explanation:
A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your case, the set builder notation {x l x > } means that the set consists of all elements that are greater than.
Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
The segments shown below could form a triangle
Answer:
yes it can form an isosceles triangle. when you join these lines AC will be the base and BC andAB will be two equal sides of an isosceles triangle.
Answer:
True i think
Step-by-step explanation:
tell me if you got it right. (btw switch to chrome its faster)
A grocery store sells a bag of 6 oranges for $2.76. How much would it cost for 5 oranges?
Answer:
$2.3
Step-by-step explanation:
6oranges=2.76$
5oranges=?
5×2.76/6.
=$2.3
factor by using the difference of two cubes
(2x)³- 8
Answer:
[tex](2x + 2)( {4x}^{2} - 4x + 4)[/tex]Solution,
[tex] {(2x)}^{3} - 8 \\ [/tex]
[tex]( {2x)}^{3} - {(2)}^{3} [/tex]
Use the formula:
[tex] {a}^{3} - {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
now,
[tex](2x + 2)( {(2x)}^{2} - 2x \times 2 + {(2)}^{2} )[/tex]
[tex](2x + 2)( {4x}^{2} - 4x + 4)[/tex]
Hope this helps...
Good luck on your assignment...
Help
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Answer:
I can't make a table here but I will try my best to seperate the numbers in groups
4.5 -34.5 : 8,17,23,27,10,23,23,27,5,27
34.5 -64.5 : 61,46,42,46,35,46,46,42,46
64.5 -94.5 : 84,88,65,65,65,84
Step-by-step explanation:
In this question there are three categories of intervals and a set of numbers. Essentially, the question wants you to seperate the numbers within each category of interval. I could not make the table here, but it is basically laid out for you. As for the histogram, the question in and out of itself is very vague because there are many ways you can set up a histogram. The file below may not be what you're looking for but it is how I imagined it would be.
PLEASE HELP FAST
answers:
a.) 4
b.) 10
c.) 6
d.) 1
Answer:
4
Step-by-step explanation:
There are 5 points. So there are 4 segments. The segments are the line between two points.
X/8 - 9 = 1 Solve for x
Answer:
x=80
Step-by-step explanation:
x/8-9=1x/8=9+1x/8=10x=80Convert 25 km to feet
Answer: 82,020.997
Step-by-step explanation:
Three numbers are in ration 3: 4: 8. The sum of the two larger numbers exceeds twice the smallest by 48. Find the numbers.
Answer:
24, 32, 64
Step-by-step explanation:
12x=6x+48
-6x -6x
6x=48
x=8
8(3)=24
8(4)=32
8(8)=64
Answer:
24, 32, 64
Step-by-step explanation:
1st=3x
2nd=4x
3rd=8x
2(3x)+48=4x+8x
6x+48=12x
48=6x
x=8
SO:
1st =24
2nd= 32
3rd= 64
Graphing Exponential Functions: Which function is graphed below?
A) y=1/3(3)^x
B) y=3(1/3)^x
C) y=)1/2)^+2
D) y=(2)^x-1
Thank you!!
Answer:
B
Step-by-step explanation:
The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.
What is the quotient of 8 1/4×3/4
Answer:
6 3/16
Step-by-step explanation:
8.25x.75=6.1875, or 6 & 3/16
Answer:
[tex]6\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]8 \frac{1}{4} * \frac{3}{4} \\\\\frac{33}{4} * \frac{3}{4} = \frac{99}{16} \\\\\frac{99}{16} = 6\frac{3}{16}[/tex]
Hope this helps! :)
- Clout Answers
Brainliest is greatly appreciated :)
PLEASE HELP ! ! ! pleaseeeee ! ! ! ! ! :C
Answer:
5/2
Step-by-step explanation:
When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.
Step 1: Move negative exponents
[tex]\frac{2^25^6}{2^35^35^2}[/tex]
Step 2: Combine exponents
[tex]\frac{2^25^6}{2^35^5}[/tex]
Step 3: Remove like terms
[tex]\frac{5^1}{2^1}[/tex]
Step 4: Exponent
5/2
A student knows the height of a pyramid and the area of its base. What should the student do to find the volume of the pyramid
Answer:
Multiply the area of the base by the height and divide by 3.
Step-by-step explanation:
V = (1/3)Bh
where B = area of the base, and
h = height
Answer: Multiply the area of the base by the height and divide by 3.
Answer:
We khow that the volume of a pyramid is equal the product of the base and the height over 3
So he just needs to multiply them together then divide the result by 3
Find side AB and round your answer to the nearest hundredth, help please.
Answer:
? = 5.12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin B = opp/ hyp
sin 65= 5/ ?
? = 5/ sin 65
? =5.516889595
To the nearest hundredth
? = 5.12
Find the percentage change: The price was $60. Now it is $40.
Answer:
33.33%
Step-by-step explanation:
The percentage was a decrease.
Let the percent be x.
60 × (1 - x%) = 40
60 × (1 - x/100) = 40
1 - x/100 = 40/60
-x/100 = 40/60 - 1
-x/100 = -1/3
x/100 = 1/3
x = 1/3 × 100
x = 33.33333
59.6487 to 2 decimal places
Answer:
59.65
Step-by-step explanation:
2 decimal places is to the hundredths place.
Answer: 59.65
Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.
If the number to the right is 4 or less, leave the given place "as is"
In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65