Answer:
-10a - b + 0.1c
Step-by-step explanation:
We can distribute the -0.1 to 100a, 10b and -c.
-10a - b + 0.1c
That's all!
Hope this helps
Answer: -10a - b + 0.1c
Step-by-step explanation:
simplify 0.1 * 10b * -c
10a - b - 0.1 * -c
regroup terms.
-10a - b - ( - 0.1 * c )
remove parentheses
-10a - b + 0.1 * c
What is the recursive formula for this sequence? 14,18,22,26,30...
Answer:
an = an-1 +4
a1 = 14
Step-by-step explanation:
The recursive formula is
an = an-1 +d where d is the common difference
a1 = initial term
a1 = 14
d = the difference between the terms
Take the second term and subtract the first term
18-4 = 4
That is the common difference
an = an-1 +4
a1 = 14
If we will analyze this sequence, we will notice that:
The sequence started by 14. So, the first term ([tex]a_1[/tex]) is 14. From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.So,
[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]
Therefore, the correct option is letter C.
What is the product of (7/8)(-16)(-7)(- 1/14)
Answer:
-7
Explanation:
7/8 x - 16 x -7 x -1/14 = -7
Answer: -7
7/8 x -16 = -14
-14 x -7 = 98
98 x 1/14 = -7
ANSWER IS -7
There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bills, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?
Answer:
order:
-3 bills from first envelope (-30 dollars)
-2 bills from second envelope (-40 dollars)
-1 bill from third envelope (-50 dollars)
total least possible amount that can be taken out: 120
Step-by-step explanation:
Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.
Answer:
$120
Step-by-step explanation:
So this question isn't hard either
We can cross out excess information and just find the main points.
a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills
b. 1-3 bills are taken out of each envolope
c. It wants you to find the least possible amt. that could have been token out.
So since we want the least, we must take the smallest out of the largest
In order, 1 from 50 (largest)
2 from 20 (middle)
and 3 from 10 (smallest)
this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120
Thus, we have our answer 120
Hope this helps!
This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.
Answer:
*regular-sized hot dog contest has greater variability
*The difference in the medians of the two contests is approximately 2 times the interquartile range.
Step-by-step explanation:
Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.
The greater the value of the range or interquartile range, the greater the variability.
Range for regular-sized hot dog contest = 32 - 17 = 15
Range for Jumbo-sized hot dog contest = 22 - 8 = 14
Interquartile range for regular-sized hot dog contest = 27 - 22 = 5
Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5
Median for regular-sized hot dog contest = 23
Median for jumbo-sized hot dog contest = 14
The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)
Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.
The difference in the medians of the two contests is approximately 2 times the interquartile range.
The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).
what is the recursive formula for this geometric sequence? 2,-10,50,-250,...
Answer:
an = an-1 * (-5)
a1= 2
Step-by-step explanation:
The recursive formula is
an = an-1 * r
a1= initial term
where a1 is the initial term and r is the common ratio
a1 =2 or the starting term
r = second term / first term = -10/2 = -5
an = an-1 * (-5)
a1= 2
Answer:
The correct answer is D
Step-by-step explanation:
2 and -5
What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram
Answer:
A square
Step-by-step explanation:
Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).
Square shape will you get if you take a cross section of a square pyramid parallel to its base
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
The diagram shows a solid shape.
The volume of the cone is 270 cm.
Work out the volume of the solid shape.
Give your answer in terms of pi
Answer:
[tex]756\pi[/tex]
Solution,
Volume of cone=270 pi cm^3
[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]
Volume of semisphere:
[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]
Total:
[tex]270\pi + 486\pi \\ = 756\pi[/tex]
hope this helps...
Good luck on your assignment..
Find the vertex of the function given below.
y= x2 - 6x +1
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
A=-3
B=-1
ans:-1-(-3)=2
Step-11by-step explanation:
Ax+By=3,m1= -A/B
x+3y= -5,m2= -1/3
A/B=1/3(parallel)
3A=B
(-7,2)
-7A+2B=3
-7A+6A=3
A= -3
B=-3/3= -1
-1-(-3)=2
solve the math problem please
Answer:
B, x≥2
Step-by-step explanation:
54 - 10x ≤ 20 + 7x - subtract 20
34 - 10x ≤ 7x - add 10x to 7x
34 ≤ 17x - divide 34 by 7
2 ≤ x - flip the equation - x ≥ 2
Hope this is helpful!
Answer:
Choice B
Step-by-step explanation:
TRUST ME. IF YOU WANT EXPLANATION:
54 - 10x < = 20 + 7x
54 - 20 < = 7x + 10x
34 < = 17x
34/17 < = x
2 < = x.....or x > = 2....its B trust me
ASAP!!!!!!! The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people. graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money 0 ≤ y ≤ 30 40 ≤ x ≤ 100 0 ≤ x ≤ 30 40 ≤ y ≤ 100
Answer:
40 ≤ y ≤ 100
Step-by-step explanation:
Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30
Step-by-step explanation:
If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.
Answer:
28.4 cups
Step-by-step explanation:
If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.
Now, we can set up a proportion:
[tex]\frac{176}{50} =\frac{100}{x}[/tex]
Cross Multiply:
176x = 5000
x = 5000/176 = 28.4 cups
The required number of cups that each person has 5.6 cups per 100 pounds.
There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.
Fraction is defined as the number of composition constitute the whole.
average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)
Number of cups per 100 pounds = 50/880*100
= 5.6 cups per 100 pound
Thus, the required number of cups that each person has 5.6 cups per 100 pounds.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
Which of the following are techniques used in geometric constructions with paper folding?
Check all that apply.
A.Creating arcs and circles with the compass
B.Marking points
C.Measuring line segments by folding the paper and matching the endpoints
D.Folding the paper and aligning marks seen through the paper
The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
What is geometric constructions?The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.
The techniques used in geometric constructions with paper folding are listed below.
Marking the points on the paper.Folding the paper and orienting marks which are visible through the paper.Drawing the line segments.Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
Learn more about the geometric constructions here;
https://brainly.com/question/12910730
Answer:
Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper
One serving of a certain brand of yogurt contains 9 g of fat. The low-fat version contains 36.75% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
Answer Choices??
Step-by-step explanation:
Which expression is equivalent to
b^m/b^n
Answer:
b^ (m-n)
Step-by-step explanation:
When the bases are the same, when dividing, we subtract the exponents
b^m/b^n
b^ (m-n)
a line in a cartesian plane passes through the points 5,8 and 9,15. what's the slope of the line
Answer:
B. 7/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the coordinates:
m = (15 - 8)/(9 - 5)
m = 7/4
Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7
Which transformation did Martina apply?
Answer:
A
Step-by-step explanation:
f(x)=4^x-2
g(x)=4^x+7
it is horizontal shift 9 unit to the left
hope it works
Answer:
A: A horizontal shift of 9 units left
Hope this helps! :D
Step-by-step explanation:
4×4 square is divided into 16 equal parts. One 1×1 square is placed in the center, as shown in the picture. Calculate a the number of squares. please help i need your assistance
Answer:
16 squares
Step-by-step explanation:
2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x+2)
B. -7(x-6)(x+1)
C. -1(7x - 9)(x + 2)
D. (-7x + 9)(x - 2)
SUBMIT
Answer:
C
Step-by-step explanation:
1. Factor a negative one out of the problem.
-1( 7x^2 +5x -18)
2. Factor.
{Factors of 7= 7 &1}
3. (7x ___) (x _____)
Factors of 18= 6,3,18,1,2,9
5 needs to be postive.
What is the slope of the line?
Answer: 3/4
Step-by-step explanation:
Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis
this is an easy question, and i'm giving all my points, so if y'all want that, answer the following questions
Answer:
Step-by-step explanation:
a)180 degrees
b)parallel
c)90 degrees
d)supplementary and adiacent
e)right
f)supplementary
Answer:
a) 180°
b) parallel
c) 90°
d) adjacent
e) right angled
f) supplementary
What is the equation of the line that is parallel to the given
line and passes through the point (-4,-6 )?
-10
8.
6
(8,4)
x = -6
x= -4
2
2 4 6
8 10 x
y=-6
y=-4
-10 -8 6 4 -22
4
(46)
-6
8
10
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
please mark me brainliest!
y=-6 is the equation of the line that is parallel to the given line and passes through the point (-4,-6 )
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of the line passing through points ( -8, 4) and (8, 4)
m=4-4/8+8
=0
Slope is zero.
The slope of the parallel line will be also zero.
Now equation of line passing through (-4, -6) which is parallel.
Let us find y intercept
-6=-4(0)+b
-6=b
So the equation will be y=-6.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
Write 90 cents to $1.30 a fully simplified ratio by first converting to the same units, and then simplifying.(plz answer I will put brainliest)
Answer:
9:13.
Step-by-step explanation:
$1.30 = 130 cents
So the ratio is 90:130
= 9:13.
Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%
Answer:
15%
Step-by-step explanation:
25% fail math
60% of the 25% above fail science
thus,
[tex] \frac{25}{100} \times 60\%[/tex]
=15% of total student
Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4
Answer:
A ≈ 254.5 in²
Option C
Step-by-step explanation:
Area of a Circle Formula: A = πr²
d = 2r
Since we are given diameter d, we simply divide by 2 to get radius r:
r = 18/2 = 9
Then we simply plug it into the formula:
A = π(9)²
A = 81π
A = 254.469
A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
Hence, the correct option is C.
The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:
In this case, the radius is 9 inches, so the area of circle is given by,
Area = pi × [tex]9^{2}[/tex]
Area = 3.14 × 81
Area= 254.3
The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.
Learn more about area here: brainly.com/question/30307509
#SPJ2
PLEASE HELP
Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume
9514 1404 393
Answer:
Cone Z, cylinder Y
Step-by-step explanation:
Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.
The figures described as having that relationship are ...
cone Z, cylinder Y
_____
Additional comment
The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.
Plz help with this question, I will mark brainliest. Answer needed fast.
Answer:
n = [tex]\frac{5}{3}[/tex] (C - 2.5)
Step-by-step explanation:
Given
C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )
C - 2.5 = [tex]\frac{3}{5}[/tex] n
Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction
[tex]\frac{5}{3}[/tex] (C - 2.5) = n
Answer:
n = 5/3(C - 2.5)
Step-by-step explanation:
C = 3/5n + 2.5
Subtract 2.5 on both sides.
C - 2.5 = 3/5n
Multiply 5/3 on both sides.
5/3(C - 2.5) = n
Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.
Answer:
y = -x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Step 1: Find slope
m = (6 - 3)/(1 - 4)
m = -1
Step 2: Find b
y = -x + b
6 = -1 + b
b = 7
Step 3: Rewrite linear equation
y = -x + 7
Answer:
y = -x + 7
Step-by-step explanation:
(x1, y1) = (4 , 3)
(x2, y2) = (1 , 6)
[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]
m = - 1; (4,3)
y - 3 = (-1)(x -4)
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
The formula to calculate the gravitational force between two objects is F, = GM1M2/r^2
where M1 and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M1 in terms of Fg, G, M2 and r.
Answer: M1=?
Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows;
F = (G M1M2)/r²By cross product;
Fr² = G M1M2Afterwards; by dividing through by G M2; we have;
M1 = Fr²/GM2Read more:
https://brainly.com/question/15344051
im gon be posting a lot so helppp
Answer:
It's Rational. Hopes this helps you!
Step-by-step explanation: