Answer:
2. B
3. C
4. B
5. D
Step-by-step explanation:
2) The sequence is multiplying by -2 each time. This means that it is geometric.
The next two terms would be:
[tex]32*-2=-64\\-64*-2=128\\128*-2=-256[/tex]
This means that the answer is B
3) The sequence is being multiplied by [tex]\frac{1}{3}[/tex] each time. This means that it is geometric.
The next 3 terms would be:
[tex]3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]
I am assuming that the answer is C and that you were unable to type the fractions.
4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows
[tex]f(x)=1.5(x-1)+15[/tex]
Now we can find the first 4 terms
[tex]f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5[/tex]
This would mean that the answer is B
5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows
[tex]f(x)=4.5(10)^{x-1}[/tex]
Now we can find the first 4 terms
[tex]f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500[/tex]
Unless you meant that the ratio was [tex]\frac{1}{10}[/tex], the answer is D, none of the above
I need your help please because I do not understand that I have to find the diameter and the radius of a circle 3.14 • 1.5 • 1.5
2) 3.14 • 1.5 • 1.5
3) 3.14• 1•1
4) 3.14•6•6
5)3.14•2•2
6)3.14•1.5.1.5
And the other is the area 3.14•3
2) 3.14•1.25
3) 3.14•2
4) 3.14•12
5) 3.14•4
6) 3.14•3
Pleaseeeeeeeseeeeee
Answer:
Step-by-step explanation:
If you are given 3.14 · 1.5 · 1.5, you actually have 3.14 · 1.5²
If you match this up to the area-of-a-circle formula A = πr²
you can see right away that r = 1.5. If r = 1.5, d = 2(1.5) = 3.0
I do not quite understand what you were trying to present in your
"And the other is the area 3.14•3
2) 3.14•1.25" so am unable to help you with it.
To find the diameter and radius of a circle, divide the given circumference by 3.14 to find the diameter, and then divide the diameter by 2 to find the radius. To calculate the area, use the formula A = πr², where π is approximately 3.14 and r is the radius of the circle.
Explanation:To find the diameter and radius of a circle, we need to understand the formulas and calculations involved. The diameter is the distance across the circle passing through the center, and it is twice the length of the radius. The radius is the distance from the center of the circle to any point on its edge.
Finding the Diameter and Radius:
To find the diameter, you need to divide the given circumference by 3.14. For example, to find the diameter of 3.14 • 1.5 • 1.5, you would divide this value by 3.14. To find the radius, you divide the diameter by 2. For example, if the diameter is 6, then the radius is half of that, which is 3.So, depending on the given values, you can use the formulas mentioned above to solve for the diameter and radius of a circle.
Calculating the Area:
To calculate the area of a circle, you need to use the formula A = πr², where π is approximately 3.14 and r is the radius of the circle. Substitute the given value of the radius into the formula and solve for the area. For example, if the radius is 3, then the area would be 3.14 • 3².Using the formulas and steps above, you can find the diameter, radius, and area of a circle based on the given values.
Which point would be on the residual plot of the data
Answer:
c (3,0)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the sides of 2 similar hexagons are in a ratio of 1:3. The area of the smaller hexagon is 12in². Find the area of the larger hexagon
Answer:
374.12
Step-by-step explanation:
A=33
2a2=3·3
2·122≈374.12297
To solve this problem, we will use the fact that if two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Let's start by identifying the given information:
1. The ratio of the sides of the two similar hexagons is 1:3.
2. The area of the smaller hexagon is 12 square inches.
We are asked to find the area of the larger hexagon.
Now, since the ratio of the sides of the two hexagons is 1:3, the square of this ratio will tell us the ratio of the areas of the two hexagons. So we must square the side ratio to get the area ratio:
Ratio of sides of hexagons = 1 : 3
Ratio of areas of hexagons = (1^2) : (3^2) = 1 : 9
This means that the area of the larger hexagon is 9 times larger than the area of the smaller hexagon. Now we can find the area of the larger hexagon by multiplying the area of the smaller hexagon by 9:
Area of larger hexagon = Area of smaller hexagon * 9
= 12 in² * 9
= 108 in²
Therefore, the area of the larger hexagon is 108 square inches.
Would a scatter plot of the side length and perimeter of the side length and area represent a linear relationship?
Yes it would be because the perimeter is the out side and the area.is inside
the vertex of this parabola is at (-3,2). which of the following could be its equation?
Answer:
B
Step-by-step explanation:
Notice that the vertex is 2 units above the x-axis. The equation of this parabola must end in +2 to reflect this fact. Thus, we narrow down our answer choices to B and C.
(x + 3) in choice B is correct, since the vertex is to the left of the y-axis.
A relative frequency table is made from data in a frequency table. What is the value of K in the relative frequency table? Round your answer to the nearest percent.
Answer: k = 11%
Step-by-step explanation:
The relative frequency fr is calculated by dividing the frequency xi of a given Class by the number of total data.
[tex]fr = \frac{xi}{n} * 100\%[/tex]
In this problem there are 4 Class U ^ V and S ^ T
Notice in the first table that the total number of data is n = 19.
The relative frequency of k will be the frequency of T ^ V between the total number of data.
Notice in the first table that the frequency of the Class T ^ V is 2.
So
[tex]k = \frac{2}{19} * 100\%\\\\k = 11\%[/tex]
Answer:
B=11%
Step By Step EXP.
Believe in me
What is the perimeter of the figure?
180 in.
64 in.
65 in.
72 in.
the perimeter is adding all the lenghts. the answer that i got isn't in there since i got 118 if you add all of them. hopefully that helped
Answer:
180
Step-by-step explanation:
i just did 18x10
At a pizza restaurant a large cheese pizza cost $8.99 plus $1.25 per topping if Laura paid $13.99 for a large pizza before taxes how many toppings did Laura put on her pizza
Answer:
4 toppings
Step-by-step explanation:
13.99-8.99=5
5÷1.25= 4
Laura put 4 toppings on her pizza.
The answer would be 4 toppings.
First you must subtract $13.99 by $8.99 which gives you $5. Then you divide that by the price of a topping which is $1.25. When you divide you get 4.
Hope this helps
What is the area of triangle TUV?
A.
3 square units
B.
5.25 square units
C.
7 square units
D.
20.5 square units
E.
35 square units
The area of a triangle is 1/2*base*height and in this case it would be 1/2*7*1.5 which is B. 5.25 square units
Answer:
Yes it's B. 5.25
A=hbb
2=1.5·7
2=5.25
Step-by-step explanation:
Geometry semester 2 ; what’s the surface area of the regular pyramid below ?
Answer:
The correct answer is option B. 756 units²
Step-by-step explanation:
Points to remember
Surface area of pyramid = Base area + (4 * area of side triangle)
To find the base area
Base area = side * side
= 14 * 14 = 196 units²
To find the area of side triangle
Area of triangle = bh/d
Area = (14 * 20)/2 = 140 units²
To find the surface area of pyramid
Surface area = Base area + (4 * area of side triangle)
= 196 + (4 * 140)
= 756 units²
Answer: 756
Step-by-step explanation:
128.75+_______=143.62
Answer:
14.87
143.62
- 128.75
________
14.87
Which linear inequality is represented by the graph
Answer:
[tex]y\leq \frac{1}{2} x+2[/tex]
Step-by-step explanation:
Firstly, as seen in the graph, the shaded area is below the graph. This means that [tex]y \leq[/tex]
Next we can look at the slope. It is seen that m=[tex]\frac{1}{2}[/tex]
From these two observations, the only inequality that fits the critera is
[tex]y\leq \frac{1}{2} x+2[/tex]
Answer:
Option A
Step-by-step explanation:
(1) In the given graph a solid line has been given which represent the sign of inequality between two variables.
(2) Moreover this, a should area has been given below the solid line. which represents the sign of "less than" between the variables.
In total between y and x there should be a sign of (≤)
(3) Now this line passes through two points (0,2) and (-4,0) so slope of the line will be = [tex]\frac{y-y'}{x-x'}[/tex]
Therefore, slope =[tex]\frac{2-0}{0+4}=\frac{1}{2}[/tex]
y-intercept of the line has been given as 2
So inequality for this graph will be
y ≤ [tex]\frac{1}{2}[/tex]x + 2
Option A is the answer.
Does this make sense?
0.88 is greater because after decimal point the hundreds place is eight in 0.88
It depends. Greater than what?
Not really, the hundredths place won't determine which number is larger, usually the largest place will do, which here is the tenth place.
1/4 = 0.25
0.88 > 0.25 because 0.8 > 0.2.
Can someone please help me out on this question
Answer:
The y-intercept occurs when x = 0.
So, when x = 0 , y = 4.
answer is A
Step-by-step explanation:
Which coordinate pair is a solution of the linear equation 5x-3y=-21
Answer:
B, (-9,-8)
Step-by-step explanation:
to solve, plug in the terms into 5x - 3y = -21
plugging in (-9,-8) into the equation:
5(-9) - 3(-8) = -21
--45 + 24 = -21
-21 = -21
(-9,-8) is a solution to the equation
Answer:
(-9,-8)
Step-by-step explanation:
confused can someone help pls
For this case, we have that by definition, be given two functions f (x) and g (x). So:
[tex](f-g) (x) = f (x) -g (x)[/tex]
We have:[tex]f (x) = - 3x-5\\g (x) = 4x-2[/tex]
So:
(f-g) (x) = - 3x-5- (4x-2)
We have to:
[tex]- * + = -\\(f-g) (x) = - 3x-5-4x + 2[/tex]
Equal signs are added and the same sign is placed while different signs are subtracted and the sign of the greater is placed
[tex](f-g) (x) = - 7x-3[/tex]
Answer:
Option D
Donald has xxx twenty-dollar bills and 111 ten-dollar bill.
How much money does Donald have?
The expression representing the total amount of money Donald has is:
[tex]\[ \text{Total money} = 20x + 1110 \][/tex]
To find the total amount of money Donald has, we need to calculate the sum of the value of all the bills.
The value of each twenty-dollar bill is $20, and the value of each ten-dollar bill is $10.
Let's represent the number of twenty-dollar bills as x and the number of ten-dollar bills as 111.
So, the total amount of money Donald has can be expressed as:
[tex]\[ \text{Total money} = \text{Value of twenty-dollar bills} + \text{Value of ten-dollar bills} \]\[ \text{Total money} = 20x + 10(111) \][/tex]
Describe the domain of the logarithmic function, y = log10 x.
all numbers greater than or equal to zero
all numbers less than zero
all numbers greater than zero
Answer:
C). all numbers greater than zero
Step-by-step explanation:
We have been given a logarithmic function [tex]y=\log_{10}x[/tex].
Now we need to find about what is the domain of the given function then match with the correct choice from the given choices:
A). all numbers greater than or equal to zero
B). all numbers less than zero
C). all numbers greater than zero
By definition of logarithmic function we know that log is not defined for 0 or negative values.
Hence domain of given function must be
C). all numbers greater than zero
The answer is:
The third option,
All numbers greater than zero.
Why?The logarithmic function exists only from the numbers greater than zero to all the positive numbers, we must remember that the logarithmic function is the inverse to the exponential function, which domain is equal to all numbers greater than zero.
Hence, the answer is the third option:
All numbers greater than zero.
I have attached a picture for better understanding.
Have a nice day!
Point O is the center of the circle.
what is the area of the shaded portion of the circle
The area of the shaded portion of the circle is option G. 28.5cm²
How did we get the value?
To find the shaded area of a circle, you need to know the radius of the circle and the central angle of the sector that forms the shaded region. The formula for the area of a sector (a portion of a circle) is given by:
[tex]\[ \text{Area of Sector} = \left( \frac{\text{Central Angle}}{360^\circ} \right) \times \pi r^2 \][/tex]
where:
- [tex]\( \text{Central Angle} \)[/tex] is the measure of the angle at the center of the circle (in degrees),
- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159, and
- [tex]\( r \)[/tex] is the radius of the circle.
If the shaded region is not a complete sector but a segment (a portion of the circle bounded by a chord and an arc), you may need to subtract the area of the triangle formed by the radius and the two radii extending to the endpoints of the chord. The formula for the area of the segment is then:
[tex]\[ \text{Area of Segment} = \text{Area of Sector} - \text{Area of Triangle} \][/tex]
One can find the shaded area by:
1. Determine the radius [tex](\( r \))[/tex] of the circle.
2. Find the measure of the central angle [tex](\( \text{Central Angle} \))[/tex] of the sector or segment.
3. Apply the formula to calculate the area of the sector [tex](\( \text{Area of Sector} \))[/tex].
4. If it's a segment, find the area of the triangle formed by the radii and the chord and subtract it from the area of the sector.
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi r^2 \][/tex]
Given that the radius [tex](\( r \))[/tex] is 10, you can substitute this value into the formula:
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi \times (10)^2 \][/tex]
Let's calculate this:
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi \times 100 \][/tex]
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times 100 \pi \][/tex]
[tex]\[ \text{Area of Quarter Circle} = 25 \pi \][/tex]
1/2 × 10 × 10 = 50cm²
25π - 50 = 25 × 3.14 - 50
= 78.5 - 50
= 28.5cm²
Describe the end behavior of f(x) = 1/3^x-5. [note: this is an exponential function where 1/3 is the base and x is the exponent.]
( answer choices are above, please only answer if you know I really need help and I can’t retake it) Thank you and if it’s correct I promise to mark brainlest!!!
Answer:
c
Step-by-step explanation:
Given ABCD, AC=38, and AE=3x+4, find the value of x
ANSWER
D 5
EXPLANATION
The diagonals bisect each other so,
AE=CE
This implies that
3x+4+3x+4=38
6x+8=38
Group similar terms
6x=38-8
6x=30
x=5
Answer: 5
Step-by-step explanation:
Working together, Joy and Steve collected 39 pounds of aluminum cans for recycling. If Joy collected j pounds, which of the following shows the number of pounds collected by Steve?
Answer:
The number of pounds collected by Steve is [tex]39-j[/tex]
Step-by-step explanation:
Let
j----> the number of pounds collected by Joy
s ---> the number of pounds collected by Steve
we know that
[tex]j+s=39[/tex]
Solve for s
That means-----> Isolate the variable s
Subtract j both sides
[tex]s=39-j[/tex]
What is the value of 3 1/3 ÷ 2/3
Answer:
5
3 1/3 / 2/3 = 5
Answer:
5
Step-by-step explanation:
"What is the value of 3 1/3 ÷ 2/3"
3 1/3= 10/3
10/3 / 2/3 = 5/1=
5
Which of the following is the slope-intercept form of the equation 3y = 2(x – 6)?
Answer:
y = 2/3x - 4
Step-by-step explanation:
To convert the equation \(3y = 2(x - 6)\) into slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept, follow these steps:
1. Distribute the scalar on the right-hand side of the equation to both terms within the parentheses:
\(3y = 2x - 12\)
2. Isolate the variable \(y\) on one side by dividing the entire equation by 3:
\(y = \frac{2}{3}x - 4\)
Now the equation is in slope-intercept form, where the slope \(m\) is \(\frac{2}{3}\) and the y-intercept \(b\) is \(-4\). The final equation is:
\[y = \frac{2}{3}x - 4\]
For the inverse variation equation p=8/v what is the value of v when p=1/2
The value of V is 16.
V=16
Explanation
Answer: v=16
Step-by-step explanation:
Given: The inverse variation equation :
[tex]p=\dfrac{8}{v}[/tex]
To find the value of v when p = 1/2, replace the value of p by 1/3 in the above inverse equation, we get
[tex]\dfrac{1}{2}=\dfrac{8}{v}[/tex]
Multiply 2v on both the sides , we get
[tex]\dfrac{1}{2}\times2v=\dfrac{8}{v}\times2v\\\\\Rightarrow\ v=16[/tex]
Hence, the the value of v =16.
from a boat on the lake, the angle of elevation to the top of a cliff is 16°38'. if the base of the cliff is 1250 feet from the boat, how high is the cliff?
Check the picture below.
make sure your calculator is in Degree mode.
recall that there are 60 minutes in 1 degree.
The slop-intercept form of the equation of a line that passes through points (-2,-13) is y=5x-3 what is the point slope form of the equation of the equation for this line
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
y=5x-3 what is the point slope form of this equation?
The point-slope form looks like y - k = m(x - h), where (h, k) is the given point and m is the given slope.
Here the given point is (-2, -13). Therefore, the desired equation is:
y -(-13) = 5( x - [-2] ), or
y + 13 = 5(x + 2)
Answer:
[tex]y+13=5(x+2)[/tex]
Step-by-step explanation:
The given function passes through (-2,-13).
The slope-intercept form of this equation is [tex]y=5x-3[/tex].
This implies that; the slope of the given function is;
[tex]m=5[/tex]
The point-slope form of this function is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
We have [tex](x_1,y_1)=(-2,-13)[/tex]
We substitute the point and the slope into the function to obtain;
[tex]y--13=5(x--2)[/tex]
[tex]y+13=5(x+2)[/tex]
the baseball coach has 108 baseballs to share equally among 8 players. how many baseballs will be left over
Answer:
4 balls
Step-by-step explanation:
108/8=13.5 or 13 R 4
For this case we must divide the number of baseballs among the number of players. Let "x" be the variable that represents the amount of baseballs that each player has to play. So:
[tex]x = \frac {108} {8}\\x = 13.5[/tex]
Rounding down, [tex]x = 13.[/tex]
Each player gets 13 baseballs. Then there are:
[tex]108-13 * 8 = 108-104 = 4[/tex] baseballs
Answer:
4 baseballs
Sandra calculated the height of a cylinder that has a volume of 576(pie) cubic centimeters and a radius of 8 centimeters. Her work is shown below.
V=Bh
Step 1: 576(pie)= (pie)8^2h
Step 2: 576(pie) = 64(pie)h
Step 3: 576(pie)/64(pie) = 64(pie)/64(pie)h
Step 4: h=9(pie) cm
What error did Sandra make when calculating the height of the cylinder?
A. In step 1, she substituted into the volume formula incorrectly.
B. In step 2, she calculated 8^2 incorrectly. It should be 16 rather than 64.
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
D. Sandra calculated the height of the cylinder correctly.
Answer:
See below.
Step-by-step explanation:
Step 3 should be: 576pi / 64pi = 64pi h / 64pi
Step 4: 9 = h.
I would say C and D.
Answer:
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Step-by-step explanation:
We know that,
The volume of a cylinder is,
[tex]V=\pi(r)^2h[/tex]
Where r is the radius of the cylinder,
h be the height of the cylinder,
Given,
[tex]V=576\pi \text{ cubic cm}[/tex]
r = 8 cm,
So, for finding the height of the cylinder the steps are as follows,
Step 1 : [tex]576\pi =\pi (8)^2h[/tex]
Step 2 : [tex]576\pi =\pi (64)h[/tex]
Step 3 : [tex]\frac{576\pi}{64\pi} =\frac{\pi (64)}{64\pi}h[/tex]
Step 4 : [tex]h = 9\text{ cm}[/tex]
Thus, it is clear that she had her mistake in 4th step,
She should cancel out [tex]\pi[/tex].
Option C is correct.
Point A, locayed at (-2, 4), is translated down 6 units. What are the coordinates of A
Answer:
(-2,-2)
Step-by-step explanation:
you would be going down the cooridante plane so that would only change the y value.