what is the method and answer for brainliest
Equal steps mean each number is the same distance from the previous one
From -2 to 28 is 28 units
There are 4 spaces between the numbers
28/4 = 7
Each number is in increase of 7
-2 + 7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
The third number would be 12
dalanay enlarges a photograph tahst is 3 inches long and 2 inches wide. the length of the enlarged photograph is 15 inches. what is the width of the enlarged photograph, in inches?
Answer:
10 inches
Step-by-step explanation:
Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?
Hence, L1/L2 = W1/W2
∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches
Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.
Answer:
1/6
Step-by-step explanation:
An experimental probability is the number of times an event occurred when actually attempted.
So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:
60-50 = 10.
So, the probability of picking a painted ball = 10/60 = 1/6
Hope this helps
Find the sum of the arithmetic series for which a_1 = 7, n = 31, and a_n = 127.
Answer: 2077
There are 31 terms.
S₃₁ = 31(a₁+a₃₁)/2 = 31(7+127)/2 = 2077
What is true about the domain and range of the function?
The graph of the function f(x) = (x +2)(x + 6) is shown
below.
у
6
The domain is all real numbers, and the range is all
real numbers greater than or equal to 4.
O The domain is all real numbers greater than or equal to
4, and the range is all real numbers.
O The domain is all real numbers such that -65x3-2,
and the range is all real numbers greater than or equal
to-4.
The domain is all real numbers greater than or equal to
4, and the range is all real numbers such that -63x3
-2.
4
N
-6 -4 +2
4
6
х
N
-2-
-4
6t
Answer:
The correct option is;
The domain is all real numbers and the range is all real numbers greater than or equal to -4
Step-by-step explanation:
A function defines an output given an input and the set of all the possible inputs to a function is the domain of a function such that there is an output, such that the domain is the set of x values which are points on the curve of the function
The set of outputs that are produced from a given input is the range of a function
The given function is f(x) = (x + 2)(x + 6)
From the curve we see that the minimum y-coordinate, f(x), value is at -4, which is the lower bound of the range, while the x-coordinate values, the domain can be seen extending past the graph sheet which from the expression for the function also (f(x) = (x + 2)(x + 6)) indicates that the x values is the set of all real numbers (on the number line)
Therefore, the correct option is;
The domain is all real numbers and the range is all real numbers greater than or equal to -4.
Answer:
The domain is all real numbers and the range is all real numbers greater than or equal to -4
Step-by-step explanation:
What is the smallest positive integer n for which [tex]n^{2}[/tex] is divisible by 18 and [tex]n^{3}[/tex] is divisible by 640?
Answer:
120
Step-by-step explanation:
n^2 has a factor of 18, so factors of 3^2·2. Since n^2 is a perfect square, we know n must have a factor of 3·2 = 6.
n^3 has a factor of 640, so factors of 2^7·5. Since n^3 is a perfect cube, we know n must have a factor of 2^3·5 = 40.
The least common multiple of 6 and 40 is 120.
The smallest positive integer n is 120.
_____
Check
120^2/18 = 800
120^3/640 = 2700
Pls help me with trig!!!
for 32 but if you understand 33 pls i need the help
I’m guessing number 32 is true, since it asks you to round to the nearest integer.
To solve this problem, use the Pythagorean Theorem, which is a^2 + b^2 = c^2, where c is the hypotenuse. The hypotenuse of the triangle is always the longest side, meaning the hypotenuse would be 15.23.
To ensure these measurements can be used in order to make a right triangle, substitute the numbers into the Pythagorean Theorem.
6^2 + 14^2 = 15.23^2.
36 + 196 = 231.9529
232 = 231.9529
Because we were asked to round, that makes the equation 232 = 232, meaning the answer is true.
What is the result of substituting for y in the bottom equation?
y = x + 3
y= x2 + 2x-4
A. x+ 3 = x2 + 2x - 4
B. X+ 3 = x2
C. y= (x+3)2 + 2(x + 3) - 4
D. y= x2 + 2x - 4 - (x+3)
Answer:
(A)[tex]x + 3= x^2 + 2x-4[/tex]
Step-by-step explanation:
Given the equations:
[tex]y = x + 3\\y= x^2 + 2x-4[/tex]
Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.
Substitution of y into [tex]y=x^2 + 2x-4[/tex] gives us:
[tex]x + 3= x^2 + 2x-4[/tex]
The correct option is A.
Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents the area of this rectangle, and then use the expression to find the area when b = 10
Answer:
Area of rectangle = H × B
Area of rectangle = 10(H)
Step-by-step explanation:
Given:
Base (B) = 10
Height = H
Find:
Area of rectangle
Computation:
Area of rectangle = Height × Base
Area of rectangle = H × B
So,
Area of rectangle = H × B [Base (B) = 10]
⇒ Area of rectangle = H × 10
⇒ Area of rectangle = 10(H)
Answer:
The expression that represents the area of this rectangle is 8b
When b = 10, the area of the rectangle is 80 square units.
Step-by-step explanation:
The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.
To find the area of the rectangle when b = 10, substitute 10 for b in the expression:
8b= 8(10)
=80
Help please!!!! Thanksss
Answer:
Correct option: E
Step-by-step explanation:
The group must have 1 man and 1 woman.
So, for the woman slot, we have 4 possible choices, because we have 4 women and 1 slot to occupy.
For the man slot, we have 2 possible choices, because we have 2 men and 1 slot to occupy.
So the number of different groups we can make is the product of the number of possibilities for each slot:
Number of groups = 4 * 2 = 8
Correct option: E
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0? The constant term is 8.
Answer:
false
Step-by-step explanation:
the constant term is 3 not 8
hope this helps
simplify radical sign 16a^8b^-2
Answer:
[tex] \frac{ {4a}^{4} }{b} [/tex]solution,
[tex] \sqrt{16 {a}^{8} {b}^{ - 2} } \\ [/tex]
Use negative power rule:
[tex] {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]
[tex] \sqrt{ {16}^{8} \times \frac{1}{ {b}^{2} } } \\ [/tex]
Simplify:
[tex] \sqrt{ \frac{ {16a}^{8} }{ {b}^{2} } } \\ = \frac{ \sqrt{ {16a}^{8} } }{ \sqrt{ {b}^{2} } } \\ [/tex]
Use this rule:
[tex] \sqrt{ab} = \sqrt{a} . \sqrt{b} [/tex]
[tex] \frac{ \sqrt{16. \sqrt{ {a}^{8} } } }{ \sqrt{ {b}^{2} } } [/tex]
Since, 4*4=16 ,the square root of 16 is 4
[tex] \frac{ \sqrt{ {4}^{2} } \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } [/tex]
Simplify:
[tex] \frac{4 \: \sqrt{ {(a}^{4) ^{2} } } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 {a}^{4} }{b} [/tex]
Hope this helps...
Good luck on your assignment...
Terri rode her bike very slowly to the top of a big hill. Then she coasted back down the hill at a much faster speed. The distance from the bottom to the top of the hill is 3 kilometers. It took Terri ¼ hour to make the round trip. What was her average speed for the entire trip?
Answer:
Terri’s speed can be calculated like this:
her speed- [tex]\frac{6km}{0.25h}[/tex]=24km/h
Step-by-step explanation:
John is filling a bathtub that is 12 inches deep. He notices that it takes two minutes to fill the tub with three inches of water. He estimates it will take 10 more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct?
Answer:
No
Step-by-step explanation:
2 = 3 inches
2x5=10
10 = 3x5 of 15 inches
so no and it would take 8 minutes to fill up the tub
Area of the cone when the radius is 4cm and the height is 12cm. Rounded to the nearest tenth
Solve each system by the addition method.
x + 2y = -1
5x - 4y = 16
Put your answer in ordered pair (x, y) DECIMAL form.
Answer:
(x, y) = (2, -1.5)
Step-by-step explanation:
x + 2y = -1
5x - 4y = 16
<=>
(2)x + (2)2y = (2)(-1)
5x - 4y = 16
<=>
2x + 4y = -2
5x - 4y = 16
<=>
7x = 14
<=>
x = 2
(*)x + 2y = -1
=> 2 + 2y = -1
=> 2y = -3
=> y = -1.5
=> (x, y) = (2, -1.5)
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points)
Answer:
4 (20) + 6(6) = 120
4(20) + 4 (6) = 100
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations with the information given:
Build time (hours) = 4c + 6a = 120
Test time (hours) = 4c + 4 a = 100
Where c represents the number of child bikes and a represents adult bikes.
So, for 20 child bikes and 6 adult bikes:
4 (20) + 6(6) = 120
4(20) + 4 (6) = 100
Feel free to ask for more if needed or if you did not understand something.
Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?
Answer:
561
Step-by-step explanation:
an = dn - (a-d)
The difference is 3.
The first term is 12.
an = 3n - (12-3)
an = 3n - 9
Put n as 1, 2, 3, 4, 5 ....22.
3(1) - 9 = -6
3(2) - 9 = -3
3(3) - 9 = 0
3(4) - 9 = 3
3(5) - 9 = 6
...
3(22) - 9 = 57
Add the first 22 terms.
-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57
= 561
The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.
Answer:
Ok, the first step to see the behavior of this data is doing a graph of it,
So we can see that it looks like an reversed V. (at the bottom of the answer you can see the graph)
Then, we can model this with a piecewise function like:
For the first part we can take the two pairs:
if 11 am is our t = 0h
(0, 85) and (6, 93)
then the linear equation
y = a*t + b
a = (93 - 85)/(6 -0) = 8/6.
and b = 85.
then the linear equation is:
y = (8/6)*t + 85. for 0h ≤ t ≤ 6h
The second part of this equation can be modeled with the points
(6, 93) and (11, 84)
then we have:
y = s*t + c
s = (84 - 93)/(11 - 6) = -7/5
and we can find the value of c as:
93 = (-7/5)*6 + c
93 + (7/5)*6 = 101.4
then this second part is:
y = (-7/5)*t + 101.4 for 6 ≤ t ≤ 11h
then, in conclusion we have:
y = (8/6)*t + 85. for 0h ≤ t ≤ 6h
f(x) =
y = (-7/5)*t + 101.4 for 6 ≤ t ≤ 11h
Answer:
y=7.496sin(0.3243x+0.315)+73.489
Step-by-step explanation:
simply put the data into a graph and graph each equation to see if its matched
Given: In ΔBLU, LE ⟂ BU , and BL ≅ UL Prove: ΔBEL ≅ ΔUEL STATEMENT REASON 1. LE⟂ BU and BL ≅ UL 1. Given 2. LE ≅ LE 2. Reflexive Property 3. ΔBEL ≅ ΔUEL 3. _______________ Which of the following choices will complete the reasoning for statement #3? A SSA B AAA C HL D None of these choices are correct.
Answer:
I think it is C
Step-by-step explanation:
Guys I need help what is 8+[4+(-9)] please.
Answer:
-9 + 4 = 4 - 9 = -5
-5 + 8 = 8 - 5 = 3
3 is the answer
Step-by-step explanation:
8+[4+(-9)]
-9 + 4 = 4 - 9 = -5
-5 + 8 = 8 - 5 = 3
3 is the final answer.
The equation of a circle is given below. ( x + 8 3 ) 2 + y 2 = 1 (x+ 3 8 ) 2 +y 2 =1left parenthesis, x, plus, start fraction, 8, divided by, 3, end fraction, right parenthesis, squared, plus, y, squared, equals, 1 What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The center is (-8/3,0) and the radius is 1
Step-by-step explanation:
(x+8/3)^2 + y^2 = 1
We know the equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
(x- -8/3)^2 + (y-0)^2 = 1^2
The center is (-8/3,0) and the radius is 1
if a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation?
Answer:
2
Step-by-step explanation:
The question, is basically asking for the order of rotational symmetry for the parallelogram. This is 2, which means while spinning the parallelogram around its centre point 360 degrees, it looks exactly the same, or matches with its original at 2 points
help me with trig Pls !!
using given triangle, calculate length of the altitude
hope it will be helpful.......
Express 160 as the product of its prime factors.
Write the prime factors in ascending order and
give your answer in index form.
Answer:
Step-by-step explanation:
160 = 2 × 2 × 2 × 2 × 2 × 5
Hope this helps
plz mark it as brainliest!!!!!!!!!!
The number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5
What are prime factors?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
A prime number factor is any prime number that can be multiplied by the original number to get the factor.
The prime factors of the numbers will be:-
160 = 2 × 2 × 2 × 2 × 2 × 5
Therefore, the number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5.
To know more about prime factors follow
https://brainly.com/question/18187355
#SPJ2
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Answer:
d
Step-by-step explanation:
There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. d How many sets can be formed (including empty set)
Answer:
1,024Step-by-step explanation:
The number of sets that can be generated from the given set is determined by calculating the power of the set. Power of a set is expressed as 2ⁿ where:
n represents the number of elements in the set.
Given the set S = {0,1,2,3,4,5,6,7,8,9}.
n(S) = 10
The Power of the set = 2^n(S)
Power of the set = 2^10 = 1,024
This means that 1,024 different sets can be formed from the given set including the empty set.
Find the point-slope equation for the line that passes through the points (-8,-32) and (3,1). Use the first point in your equation.
Hey there! :)
Answer:
y + 32 = 3(x + 8)
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates of the points into the equation:
[tex]m = \frac{1 - (-32)}{3 - (-8)}[/tex]
Simplify:
[tex]m = \frac{33}{11}[/tex]
m = 3.
Point-slope form is:
y-y₁=m(x-x₁)
Plug in the coordinates of the first point, as well as the slope:
y - (-32) = 3(x - (-8)
y + 32 = 3(x + 8)
Answer: y+32=3(x+8)
Step-by-step explanation:
First you need to find the slope.The slope is the change in y divided by the change in x values.
-32 - 1 = -33
-8 - 3 = -11
-33/-11 = 3 the slope is 3
and in point-slope form is like y-b= m(x-a) where b is a y coordinate and a is the x coordinate.
it could be like y-1=3(x-3) or y+32= 3(x+8)