Answer:
1/4, 0.5, -4/6, 4.5, 1/3, 7/8
explanation: it is the ratio of two integers
a/b where b is not = to 0
find the volume of the composite figure
Volume is a three-dimensional scalar quantity. The volume of the composite figure is 14 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the composite figure is,
Volume = (1/3 ×1.5 × 2 × 2) + (2 × 1.5 × 4)
= 2 ft³ + 12 ft³
= 14 ft³
Hence, the volume of the composite figure is 14 ft³.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ1
Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants his fruit salad to contain five different fruits. How many ways can he make the fruit salad if it must contain watermelon?
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
What is Permutation and combination?Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
[tex]^{n{C}_r[/tex] = n! / r! (n-r)!
[tex]^{7}C_4[/tex] = 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
Learn more about Permutation and combination here:
brainly.com/question/11732255
#SPJ1
Answer: 35 on edge got it right
Step-by-step explanation:
Estimate the roots of f(x)
Answer:
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided number line.
Consider the given functions.
Function 1
f(x) = -5x + 11 + 10
Function 2
g(x)
-2
Represent the interval where both functions are decreasing on the number line provided.
30
20
10-
-10-
-20-
-30-
2
6
x
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
What is the function's decreasing in the interval?Generally, the equation for the function is mathematically given as
f(x) = -5x + 11 + 10
Therefore
When x >= -1, the function decreases because f(x) = -5(x+1)+10.
This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]
b)
A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).
In conclusion, The number line will represent
Using the point where the intervals with decreasing functions overlap
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
Read more about inequalities
https://brainly.com/question/20383699
#SPJ1
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
Round to the nearest tenth wa hit is the perimeter of the triangle
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
Select the correct answer. A line each runs from point B through points A and C. First arc, centered at B, cuts line B A at J and line B C at K. A line runs rightward from point D. Second arc, centered at D, cuts the line at L and third arc, centered at L, cuts the line at M. What needs to be corrected in the following construction for copying ∠ABC with point D as the vertex?
In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.
What is an arc?In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.
Read more on arc here: https://brainly.com/question/20594692
#SPJ1
Answer: The third arc should cross the second arc.
Step-by-step explanation: The guy above me clearly stated it, just wanted to clear up that he is correct :)
The question is in the photo! Please help
Find the general term for the sequence 6, 9, 12, 15, .... n + 5 3 n + 3 4 n + 2 6 n + 3
The general term for the arithmetic sequence is aₙ = 3 + 3n
How to find the general term of an arithmetic sequence?The general term of an arithmetic sequence is as follows:
aₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
a = 6
d = 9 - 6 = 3
aₙ = 6 + (n - 1)3
aₙ = 6 + 3n - 3
aₙ = 3 + 3n
learn more on arithmetic sequence here:https://brainly.com/question/24453114
#SPJ1
Need help
cnnbc recently reported that the mean annual cost of auto insurance is 959 dollars. assume the standard deviation is 263 dollars, and the cost is normally distributed. you take a simple random sample of 37 auto insurance policies. round your answers to 4 decimal places.
a what is the probability that one randomly selected auto insurance is more than $984?
b. a simple random sample of 37 auto insurance policies, find the probability that the average cost is more than $984.
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24[/tex]
Item a:
The probability is one subtracted by the p-value of Z when X = 984, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{984 - 959}{263}[/tex]
Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{984 - 959}{43.24}[/tex]
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
Two numbers are in the ratio of 2 to 3. Their sum is 30. What are the numbers? 3. Two numbers are in the ratio of 2 to 3. Their sum is 30. What are the numbers ?
Answer:
12 and 18
Step-by-step explanation:
Lets say the two numbers are A and B, with A the smaller.
We are told that A/B = 2/3 [in the ratio of 2 to 3]
We also find that A + B = 30 [Their sum is 30]
Rearrange the first equation to isolate A:
A/B = 2/3
A = 2B/3 [multiply both sides by B]
Now use this value of A in the second equation:
A + B = 30
2B/3 + B = 30
(2/3)B + (3/3)B = 30
(5/3)B = 30
B = (30)(3/5)
B = 6*3
B = 18
Since A + B = 30:
A + B = 30
A + 18 = 30
A = 12
A is 12 and B is 18
===================
Check:
Does A/B = 2/3??
(12/18) = (6/9)
(6/9) = (2/3) YES
Does A + B = 30 ???
12 + 18 = 30 YES
Gracie earns 17.25/h for a 37.5h week, plus extra for overtime. During store inventory she worked 48.5h. Her gross earnings were $1,471.88. What is Gracie’s overtime rate of pay? show work please
Gracie’s overtime rate of pay would be $635.06.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Gracie earns 17.25/h for a 37.5h week, plus extra for overtime.
For one hour she earns $17.25
For 37.5h she earns = 37.5h x 17.25
= $646.87
The total money she earns = $646.87 + overtime pay
During store inventory, she worked 48.5h. Her gross earnings were $1,471.88.
= 48.5h x 17.25
= $836.625
So, $836.625 + overtime pay = $1,471.88
overtime pay = $1,471.88 - $836.625 = $635.06
Hence, Gracie’s overtime rate of pay would be $635.06.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ1
An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?
48 dollars (0.55)
48 dollars (55)
48 dollars (0.55) + 48 dollars
48 dollars (55) = 48 dollars
The amount of the markup is $48 + $48 (0.55) .
Option (C) is correct .
What is Markup Price?Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.
As given
An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup.
55% is written in the decimal form .
= 55/100
= 0.55
Markup price = 0.55 × wholesale price of item .
= 0.55 × $48
= $48 (0.55)
Price of item after markup = Wholesale price of item + Markup price
= $48 + $48 (0.55)
Thus, the amount of the markup is $48 + $48 (0.55) .
Option (C) is correct .
Learn more about Markup price from:
https://brainly.com/question/11999225
#SPJ1
Answer:The answer is A
Step-by-step explanation:
Edg 2022 (sometimes the verified ones are wrong)
Find the slope of segment CD if C is (12, 4) and D is (6,2). (if answer is not a whole number, give a simplified fraction using "" and if the
answer is negative, put the negative sign first; for example you would write-1/2, not 1/-2) Type your answer in Blank 1
Blank 1:
Answer: 1/3 (if you have other questions like these you can use a slope calculator)
help its TIMED
WHICH OF THE FOLLOWING MAY BE TRUE ABOUT f(x)
All three are possible.
The table tells us that for certain x and y, we have f(x) < f(y) if x < y. There's also no evidence that f(x) = f(y) for some points x ≠ y in the interval, so f(x) could easily be monontonically increasing. (I is true)
If we assume f(x) is strictly increasing (which does not contradict the given table) on the entire interval, we have f'(x) > 0. A positive function can be strictly increasing. (II is true)
A function is concave up on an interval if its derivative is increasing on that interval. This follows from statement (II) if it happens to be true. (III is true)
(E)
PLEASE ANSWER ASAP!!!!!!!!!
How is the product of a complex number and a real number represented on the coordinate plane?
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar and a 90° counterclockwise rotation of the complex number.
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number.
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a 90° counterclockwise rotation of the complex number.
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar and a 90° clockwise rotation of the complex number.
The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= 6 + 4i
Multiplied by 3:
= 18 + 12i
If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.
Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ1
Consider the graph of the function f(x) = 25
-10-8-6-4-2
10
8-
6-
4
2
02 4 6 8 10
2
-4
6
-8
-10
Which statement describes a key feature of function gif 9(a) = 2f(x)?
Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:
Horizontal asymptote at y = 0.
What are the horizontal asymptotes of a function?They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.
Researching this problem on the internet, the functions are given as follows:
[tex]f(x) = 2^x[/tex].[tex]g(x) = 2f(x) = 2(2)^x[/tex]The limits are given as follows:
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0[/tex]
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty[/tex]
Hence, the correct statement is:
Horizontal asymptote at y = 0.
More can be learned about horizontal asymptotes at https://brainly.com/question/16948935
#SPJ1
Bonnie and Connie ran a total of 135 miles last week. Bonnie runs at a constant speed of 7 miles per hour, and Connie runs at a constant speed of 5 miles per hour. If Bonnie and Connie ran for a total of 24 hours last week, how many minutes did Bonnie run
Answer: 450 Minutes
Step-by step explanation:
135-x)/5 = hours connie runs
x/7 = hours Bonnie runs
(135-x)/5 + x/7 = 24
135-x + 5x/7 = 120
945-7x+5x = 840
-2x = -105
x = 52.5 miles = distance of Bonnie
52.5 miles / 7 m/hr = 7.5 hours = 450 minutes
a herd of 25 horses has 12 white and some black horses what is the ratio of white to black horses
12:25 is also the same as 12/25 (in the fractional form!)
hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!
Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?
Answer:
25
Step-by-step explanation:
Because 100 25+25+25+25 or 25/1/4
ABD and DBC are complementary angles 43 what is the measure of x
The value of x is 60
How to determine the value of x?The complete question is added as an image
From the image, we have:
ABD = 30
DBC = x
The sum of complementary angles is 90.
So, we have:
30 + x = 90
Subtract 30 from both sides
x = 60
Hence, the value of x is 60
Read more about complementary angles at:
https://brainly.com/question/16281260
#SPJ1
Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane?
On a coordinate plane, a triangle has points (negative 4, 3), (1, negative 2), (5, 3).
On a coordinate plane, a triangle has points (negative 4, 2), (negative 1, 4), (1, negative 3).
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).
-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.
Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ1
Evaluate the expression (8×6) +(8-3)
Answer:
(8×6)+8-3
48+8-3
53
Step-by-step explanation:
please mark me as brainlest
rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10
write a function rule for the table
hours worked 2,4,6,8 and pay 15,30,45,60
Answer:
f(x) = 7.5x
Step-by-step explanation:
you can find the slope by using the slope formula (y2-y1)/(x2-x1). you can use any of the values but for this example I'll be using (2, 15) and (4, 30).
(30-15)/(4-2) = 15/2 = 7.5.
now we can use one of the coordinates to find the y-intercept by plugging the known values in the equation y=mx+b where m is the slope and b is the y-intercept.
for this example I'll be using (2, 15) but you could use any of the values you gave.
15 = 7.5(2) + b
15 = 15 + b
0 = b
so now we have the function rule
f(x) = 7.5x + 0 or just f(x) = 7.5x
smone answer ASAP please.
The measure of the angle x is 117 degrees
Line geometry.To determine the value of x in the given diagram, we will use the alternate angles theorem
The value of x is expressed as shown;
p + q= x
If the value of p = 51, then;
51 + q. = x
Determine the value of. q
q = 108 - 42
q = 66
Determine the value of x
x = 66 + 51
x = 117 degrees
Hence the measure of the angle x is 117 degrees
Learn more on angles here: https://brainly.com/question/25716982
#SPJ1
Brainliest!
Which system is represented in the graph?
y>x²-2x-3
y > x + 3
Oy
y
Oy2x²-2x-3
y ≤ x + 3
Oy>x²-2x-3
y
Answer:
y ≥ x² -2x -3y ≤ x +3Step-by-step explanation:
When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).
Boundary lineThe boundary line of the solution set of an inequality will be solid if the line is included in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.
The boundary line of the solution set will be dashed if the line is not included in the solution. The corresponding inequality symbols are < or >.
ShadingThe shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).
For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.
Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.
ApplicationIn the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.
The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...
y ≥ x² +...y ≤ x +...These forms match choice C:
y ≥ x² -2x -3y ≤ x +3A set of equations is given below:
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
No solution
Answer: No solution
Step-by-step explanation:
Ths lines are parallel (as they have the same slope but different y-intercepts), and parallel lines never intersect. Thus, the system has no solutions because the lines never intersect.
Determine the measure of each indicated angle. Show all necessary steps!
The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.
What is the sum of all the angles of a regular polygon?
For a regular polygon of any number of sides, the sum of its exterior angle is 360°.
We already know that a 4-sided polygon's angles add up to 360 degrees.
So to find the value of x:
69 + 118 + 84 + x = 360
x = 360 - (69 + 118 + 84)
x = 89 degrees
b)
For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.
So to find the value of p:
100 + 62 + 106 + p = 360
p = 360 - (100 + 62 + 106)
p = 92 degrees
Learn more about interior angles of a regular polygon here:
https://brainly.com/question/14173422
#SPJ1
How do you write a proof for this
Answer: They're equal to each other yes corresponding parts of congruent triangles are equal
Step-by-step explanation:
Solve
A.
A bag has 18 marbles of three different colours.
There are twice as many red marbles as blue
ones.
There are two fewer green marbles than blue ones.
Form an equation to model this situation, and solve
to determine the number of each color marble in
the bag.
B.
The perimeter of a large triangle is 237 cm.
The lengths of the three sides are consecutive
integers, Form an equation to model this situation,
and solve to find the lengths of the three sides.
Answer:
5 blue marbles
10 Red marbles
3 Green marbles
Step-by-step explanation:
5 times 2 = 10
then 5-2 =3
Add 5+10+3
=18 Marbles in total
