Answer:
67
Step-by-step explanation:
all prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199,
Answer:
7
Step-by-step explanation:
Prime numbers have a factor of 1 and itself.
4 is not prime because it has a factor of 2.
6 is not prime because it has factors 2 and 3.
7 is prime, it has 1 and 7 as its factors.
15 is not prime, it has factors of 3 and 5.
21 is not prime, it has factors of 3 and 7.
The only prime number from the list is 7, because the only factors it has is 1 and itself.
Prove that the difference between between squares of consecutive even number is always a multiple of 4. Let n stand for any integer in your working.
Answer:
2n and 2n+2 are two consecutive even numbers, then the difference of their squares is:
(2n+2)²- (2n)²= (2n+2+2n)(2n+2-2n)= (4n+2)*2= 2*(2n+1)*2= 4*(2n+1)As we see it is multiple of 4.
14. An engineer recorded the acceleration of an experimental rocket.
Determine the model that best describes the data and then write an equation for the function that models the data.
time (sec) 0. 1 2 3 4
speed (mph) 4 12 36 108 324
(SHOW WORK)
Answer:
if looking for the function that best models graph, f(x)=4*(3^x) is the function that satisfies values.
Step-by-step explanation:
f(0)=4*(1)=4
f(1)=4*(3)=12
f(2)=4*(9)=36
f(3)=4*(27)=108
f(4)=4*(81)=324
Work out the percentage change to 2 decimal places when a price of £15 is decreased to £14.
Answer: 6.67%
Step-by-step explanation:
Reduction in price = £1
1/15 x 100 = 6.67%
Answer:
6.67 %
Step-by-step explanation:
Firstly, Let's Subtract them:
=> £15-£14 = £1
%age decrease :
=> [tex]\frac{1}{15}* 100[/tex]
=> 6.67 %
If polygon COLD is congruent to polygon WARM and the area of polygon WARM is 28 square feet, what is the area of polygon COLD
Answer:
28 sqr feet.
Step-by-step explanation:
Congruent means equal to. So Cold = Warm for some given property (Area in this case).
28 ft^2 is the answer
Find the equation of the exponential function represented by the table below: above^^^^
Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
[tex]y=a(b)^x[/tex] where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
[tex]3=a(b)^0[/tex]. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
[tex]1.5=3(b)^1[/tex]. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
[tex]y=3(\frac{1}{2})^x[/tex]
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
What type of transformation transforms (a , b) to (-a , b)
Answer:
A reflection across the y axis
Step-by-step explanation:
think about it, if you reflect some point across the y-axis it will have a negative x value. For example, if you reflect (1,2) across the y-axis you will get (-1,2)
Answer:
This type of transformation is called mirroring in the y-axis.
Step-by-step explanation:
By mirroring in the y-axis, you can find the new value, by multiplying the x-coordinate by -1.
Any point (a , b) will be transformed after mirroring in the y-axis, to (-a , b), which is the question here.
This type of transformation is called mirroring in the y-axis.
List five rational numbers which are smaller than 2
Answer:
1/2, 1/4, 2/3, 1, 3/2.
Step-by-step explanation:
I'll just list some more, because why not?
10/9, 9/10, 11/2, 2/6, 2/10...
Select the correct answer.
What is the solution to this system of equations?
x= 12 - y
2x+3y= 29
OA x=8. y=4
O B. x=6, y=6
C.
x=7, y=5
D. x=9. y=3
Answer:
C. x=7, y=5
Step-by-step explanation:
BC = -2x+85 BD = 5x-48 What is the length of BC?
Answer:
-2x + 85 = 5x - 48
85 = 7x - 48
7x = 133
x = 19
BC = -2(19) + 85
BC = -38 + 85
therefore, BC = 47
Step-by-step explanation:
What is the answer ?
Answer:
A.
Step-by-step explanation:
using FIOL (first, inner, outer, last) to factor
Bailey writes the expression g^2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?
(g−4)(g−10)
(g+4)(g+10)
(g+4)(g−10)
(g−4)(g+10)
Answer:
B) (g+4)(g+10)
EDGE 2020
The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the area of the planned school garden as:
A = g² + 14g + 40
A = g² + 10g + 4g + 40 = g(g + 10) + 4(g + 10)
A = (g + 4)(g + 10)
The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.
Find out more on equation at:
brainly.com/question/2972832
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i will mark brainliest!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Macy didnt correctly find the equivalent fraction with the denominator of 30
4/5 is 24/30 not 18/30.
this is because 4×6 is 24 which is the numerator and 5×6 is 30 which is the denominator
Answer:
Macy did not correctly find the equivalent fraction with the denominator of 30.
Step-by-step explanation:
What Macy should have written:
[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{24}{30} >\frac{18}{30}[/tex]
What Macy wrote:
[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{18}{30} <\frac{19}{30}[/tex]
[tex]\frac{4*6}{5*6}[/tex] does not equal [tex]\frac{18}{30}[/tex]
The Ponce de Leon lighthouse in St. Augustine, Florida, is the second tallest brick tower in the United States. It was built in 1887 and rises 175 feet above sea level. How far from the base of the lighthouse is a motorboat if the angle of depression from the top of the lighthouse is 13°15'?
Answer:
B on E2020
Step-by-step explanation: ok
What would the busked of x be?
Answer:
x = 9
Step-by-step explanation:
Step 1: Look at graph
You can see that both ∠B's are the same. Therefore, both side lengths AD and CD are the same
Step 2: Set equations equal to each other
3x = 2x + 9
Step 3: Solve
x = 9
And we have our answer!
Answer:
9
Step-by-step explanation:
find the volume of a cone in terms of pie. please please help i’ll give your brainleist
Answer:
[tex] 132 \pi \: cubic\: cm[/tex]
Step-by-step explanation:
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \pi \times {6}^{2} \times 11 \\ \\ = \frac{1}{3} \times \pi \times 36 \times 11 \\ \\ = \pi \times 12 \times 11 \\ \\ = 132\pi \: {cm}^{3} [/tex]
what is the value of 30p3
Answer: 24360
Step-by-step explanation:
Formula: n Pr= n!/(n-r)!
Then input your information in the formula: 30!/(30-3)!
Solve the pharatensis in the denominator: 30 subtracted by 3
Now you have 30!/(27)!
Simplfy and get 24360
- X = 7. solve for x
Answer:
x=-7
Step-by-step explanation:
-x=7
/-1 on each side
x=-7
Answer:
x= -7
Step-by-step explanation:
-x = 7
Divide each side by -1
-x/-1 = 7/-1
x = -7
Which statement is false?
A.Adding the same number to both sides of an equation gives a true
statement.
B.Dividing each side of an equation by a different number gives a true
statement.
C. Multiplying each side of an equation by the same number gives a true
statement.
OA.
OB.
OC.
Answer:
B!
Step-by-step explanation:
When dealing with an equation you need to do the same thing to both sides. When you divide by two DIFFERENT numbers you are making an incorrect statement.
Given the following number line, what number could be A if XY - ZA?
X
Y Z
-6
A. -5
B. -1
C. 5
D. 6
Answer:
C. 5
Step-by-step explanation:
XY= -1-(-5)= 4
ZA= A-1= 4 ⇒ A=1+4= 5
A=5
The following graph shows a proportional relationship.
What is the constant of proportionality between y and in the graph?
y
6-
Col
5+
MY
4+
3+
Pro
21
Pro
1+
Tea
2
1
2
3
4
5
6
Answer:
Since (2, 4) belongs to the line the constant of proportionality is 4 / 2 = 2.
Match the definitions to the mathematical terms they describe.
all coplanar points equidistant from a given
point
circle
two rays with a common endpoint
ray
piece of a line with two endpoints
line segment
piece of a line with one endpoint
angle
Answer:
see explanation
Step-by-step explanation:
all coplanar points equidistant from a given point = circle
two rays with a common endpoint = angle
piece of a line with two endpoints = line segment
piece of a line with one endpoint = ray
The correct matching is given below.
All coplanar points equidistant from a given point = circleTwo rays with a common endpoint = anglePiece of a line with two endpoints = line segmentPiece of a line with one endpoint = rayWhat are the mathematical terms?One mathematical model makes up a term.
It is the close curve of an equidistant point drawn from the center.
A line segment is sometimes referred to as a section of a path that joins two places.
The angle is the distance between the intersecting lines or surfaces.
Then the correct matching is given below.
All coplanar points equidistant from a given point = circleTwo rays with a common endpoint = anglePiece of a line with two endpoints = line segmentPiece of a line with one endpoint = rayMore about the mathematical terms link is given below.
https://brainly.com/question/690772
#SPJ2
Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1
Answer:
(1+2)3
Step-by-step explanation: it equals 9 the the other expressions equal 8 0 and 6 so option one is the greatest value.
Which of the following rational numbers is Not a perfect cube?
A. 827
B. 12564
C. − 64
D. 136
We have 8/27 which can be written as (2/3)^3, so 8/27 is a perfect cube.
Similarly, 125/64 = (5/4)^3, showing that it too is a perfect cube. So far we have eliminated choices A and B.
Choice C is also eliminated because -64 = (-4)^3
Lastly, choice D is not a perfect cube assuming it is 136 because 136^(1/3) = 5.142563 is not rational (ie not a fraction of whole numbers). The same can be said about 1/36 and 13/6 as well.
Which inequality does this graph represent? –1 < x –1 Less-than-or-equal-to x x < –1 x Less-than-or-equal-to –1
Answer:
B
Step-by-step explanation:
at which values of x does the function f(x) have a vertical asymptote
Answer:
A. 0
E. -3
F. 9
Step-by-step explanation:
You can't divide by 0; it is undefined. So if x cannot equal zero, then anything that turns the denominator to zero is an asymptote. Therefore, the roots of the cubic expression would be excluded, and we get our final answers.
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Answer:
1,500,000
Step-by-step explanation:
The graph of h (x) =|x- 10|+ 6 is shown. On which interval is this graph increasing? A. (–∞, 6) B. (–∞, 10) C. (6, ∞) D. (10, ∞)
Answer:
D.
Step-by-step explanation:
The graph increases when y hits its lowest point and then starts to go back up again. In this case, when x = 10, it starts to go back up again.
Answer:
D. (10, ∞).
Step-by-step explanation:
Got Correct on MyPath.
ditermine the maximum value of y=2x^2-36x+130
Answer:
dsffoppo
Step-by-step explanation:
sg785 suuwooo
Will give brainliest if correct
Answer:
|∠AED| = 100°Step-by-step explanation:
[tex]|\angle AEC|=(4x)^o \quad\implies\quad |\angle AED|=180^o-(4x)^o\\\\\\\widehat{AC}=120^o\quad\implies\quad |\angle AOC|=120^o\\\\|\angle AOC|=120^o \quad\implies\quad |\angle ADC|=\frac12\cdot120^o=60^o\\\\\\\widehat{BD}=(2x)^o\quad\implies\quad |\angle BOD|=(2x)^o\\\\|\angle BOD|=(2x)^o \quad\implies\quad |\angle ADC|=\frac12\cdot(2x)^o=x^o\\\\\\ \Delta ADE:\\\\180^o-(4x)^o+60^o+x^o=180^o\\\\-(3x)^o=-60^o\\\\x=20^o\\\\\\|\angle AED|=180^o-4\cdot20^o=100^o[/tex]
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
