Answer:
Step-by-step explanation:
To make it easy let's list the integers that are beetwen 15 to 30 inclusive :
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
the numbers that are multiples of both 5 and 3 are ending with 5 and 0 and the sum o their digits is a multiple of 3 15,30 oly the valuesthe the whole interval ]15,30[ is the answer
The numbers that are multiples of both 5 and 3 are ending with 5 and 0 and the sum of their digits is a multiple of 3.
Which are all integers?Integers are the set of numbers including all the effective counting numbers, zero in addition to all bad counting numbers which count from bad infinity to effective infinity.
Learn more about Integers here: brainly.com/question/14453211
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92.6 % of 103.93 km Give your answer rounded to 2 DP.
Answer:
[tex]Result = 96.24\ km[/tex]
Step-by-step explanation:
Given
92.6 % of 103.93 km
Required
Solve (to 2 decimal places)
To solve this, we simply multiply both 92.6% and 103.93 km together;
[tex]Result = 92.6\% * 103.93\ km[/tex]
Convert percentage to fraction
[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]
Combine to form a single fraction
[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]
[tex]Result = \frac{9623.918\ km}{100}[/tex]
[tex]Result = 96.23918\ km[/tex]
[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)
The following function represents an arithmetic sequence.
f(1)=2
f(n+1)=f(n)+4
What is f(10)?
Enter your answer as a number, like this: 42
Answer:
f(10)=34
Step-by-step explanation:
This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,
Then we use the formula to find the nth term of an arithmetic sequence with is:
[tex]f(n)=f(1) +\,(n-1)\,d[/tex]
In our case this formula for the term number 10 becomes:
[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]
Answer: Just took it!!!
f(10)=38
Step-by-step explanation:
f(1)=2
f(n+1)=f(n)+4
f(2)=6
f(3)=10
f(4)=14
f(5)=18
f(6)=22
f(7)=26
f(8)=30
f(9)=34
f(10)=38
PLEASE ANSWER THIS I AM ASKING THIS QUESTION FOR SOMEONE CAUSE IM NICE AND yeah lol pls answer this question in the pic
Solve 3x^2-4x-1=0 using quadratic form.
Answer:
Here is your answer!!!
Step-by-step explanation:
a=3,b=-4,c=-1
Discriminate (D)= b^2-4ac
D= (-4)^2-4(3)(-1)
D=16-(12)
D=16-12=4
x=-b±√b^2-4ac/2a
x=-(-4)±√4/2(3)
x=4±2/6
x=4+2/6=1
x=4-2/6=1/3
x=1,1/3
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the value of the point that corresponds to x 1. That value is the unit
Tate
"Look at the graph of the relationship Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
"Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
Tale
"Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is
the difference in the corresponding x values."
Maandum
Save and Exit
Next
Answer:
The method that is valid in finding the unit rate for a proportional relationship is by:
Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.
Step-by-step explanation:
Which expression is equivalent to (–3y – x) – (5y – 8x)?
Answer:
-8y +7x
Step-by-step explanation:
(–3y – x) – (5y – 8x)Distribute
-3y -x -5y +8x
Combine like terms
-3y-5y -x+8x
-8y +7x
NEED HELP WITH PART B
gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to
download, y, for a certain number of weeks, X: .picture above
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and
initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relations
Answer:
y = -20x + 100
Step-by-step explanation:
As per your requirement For Part B, the solution is
The equation in slope-intercept form to model the relations is below:-
To reach 2 points on the graph the line passes through
lets use p1(0, 100), p2(1, 80)
now we will compute the slope:
[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]
[tex]m = \frac{(80 - 100)}{(1 - 0)}[/tex]
= -20
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 100 = -20(x - 0)
y = -20x + 100
Answer:
Part A:
initial value = 100 (total amount of songs to download)
rate of change = -20 songs/week (100-80 and so on)
Part B:
ANSWER: y = -20x + 100
y = mx + b, where m is the slope and b is the y-intercept (or initial value).
A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can be made using 13 different beads? help plz i will give brainlyist to right awnser :3
Answer:
We have 13 different beads to use in our necklace, and the thing that will make a necklace different to others, is the position of the beads.
And because we can not turn the necklaces over, the mirrored necklaces are different (the positions of the beads are mirrored)
For the first bead, we have 13 options, for the second, 12 options, and so on
the total number of combinations is equal to the product of the options for each selection, then we have:
C = 13*12*11*10*9*8*7*6*5*4*3*2*1 combinations:
C = 6,227,020,800.
Now, we are allowed to rotate the necklace, this means that a combination.
a b c d e f g h i j k l m (each letter is equivalent to one of the different beads)
is the same as other ordered as
m a b c d e f g h i j k l
And for each combination, we have 13 rotations, then the actual number of combinations is:
C/13 = 6,227,020,800/13 = 479,001,600
Using arrangements, it is found that 6,227,020,800 different necklaces can be made using 13 different beads.
The beads can be exchanged among the positions to form the necklace, hence, the arrangements formula is used.
This formula gives the number of possible arrangements of n elements, and is defined by:
[tex]A_n = n![/tex]
In this problem, the necklaces are formed by 13 beads, hence [tex]n = 13[/tex] and:
[tex]A_{13} = 13! = 6227020800[/tex]
6,227,020,800 different necklaces can be made using 13 different beads.
A similar problem is given at https://brainly.com/question/24648661
Identify the graph of y^2+8x=0 for theta=π/6 and write an equation of the translated or rotated graph in general form.
Answer:
parabola; (x)^2-2(square root 3) xy+3(y)^2 +16 (square root 3) x+16=0
Step-by-step explanation:
edge’s possible answer 2020
A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width from the pool on all sides. If the patio area equals the area of the pool, how wide is the distance from the pool edge to the patio edge? If x represents the width of the patio, then which of the following equations could be used to solve the word problem?
Answer:
Let
x-------> the width of the patio
we understand that
region of the pool=40*60-----> 2400 ft²
vicinity of the patio=[(40+2x)*(60+2x)]-2400
place of the patio=2400 ft²
so
[(40+2x)*(60+2x)]-2400=2400
2400+80x+120x+4x²-4800=0
4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0
therefore
the answer is
x²+50x-600=0
I NEED HELP PLEASE, THANKS! :)
Answer:
Third option is the right choice.
Step-by-step explanation:
Manipulate the right hand side.
[tex]\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}[/tex]
Best Regards!
Answer:
sin ^2 (x)+ cos^2(x) = 1
Step-by-step explanation:
sin ^2 (x)+ cos^2(x)
------------------------
cos (x)
We know that sin ^2 (x)+ cos^2(x) = 1
1
------------------------
cos (x)
The definition of sec is 1 /cos
= sec(x)
a) The quadratic 3x^2-12x-11 can be written in the form 3(x+a)^2+b. Find the values of a and b. b) Given that the solutions of the equation 3x^2-12x-11=0 can be written as c ± √d, where c and d are rational numbers. Find the values of c and d answer for d as a fraction in it's simplest form
Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
a) The value of a and b from the expression are -2 and -23 respectively.
b) The value of c and d are 2 and 23/3 respectively'
a) Given the quadratic function [tex]3x^2-12x-11[/tex], writing the equation in the form [tex]3(x+a)^2+b[/tex] using the completing the square method.
[tex]3x^2-12x-11=0\\x^2-\frac{12}{3}x-\frac{11}{3} =0\\x^2-4x-\frac{11}{3} =0\\(x^2-4x+4)-4-\frac{11}{3}=0\\(x-2)^2-\frac{23}{3} =0\\3(x-2)^2-23=0[/tex]
Compare the result with [tex]3(x+a)^2+b[/tex];
a = -2
b = -23
Hence the value of a and b from the expression are -2 and -23 respectively.
b) Given the quadratic equation [tex]3x^2-12x-11=0[/tex] using the general formula to factorize the equation;
[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\x=\frac{-(-12)\pm \sqrt{(-12)^2-4(3)(-11)} }{2(3)} \\x=\frac{12\pm \sqrt{144+132} }{6} \\x=\frac{12\pm\sqrt{276} }{6} \\x=2\pm\sqrt{\frac{276}{36} }\\x=2\pm\sqrt{\frac{23}{3} } }[/tex]
Compared with c ± √d, the value of c and d are 2 and 23/3 respectively.
Learn more on quadratic functions here: https://brainly.com/question/17895228
Please help me with this question!!
Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.
This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.
It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.
Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.
Example A
Find the area of the blue sector. Leave your answer in terms of TT.
Answer: [tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
Do you really need it? If so, reply, if not, mark brainliest.
help me please ill give brainly :D please dont answer for my points :(
Answer:
15 days
Step-by-step explanation:
5 people * 16 days * 6 hrs= 480 hours
8 people * x days * 4 hours= 32x hours
32x=480x= 480/32x= 15 daysWhich point on the number line represents the product (5)(-2)(-1)
Point A
Point B
Point C
Point D
the correct answer is D
Which table represents a linear function
Answer:
What are the other tables/answer choices?
Step-by-step explanation:
The measure of angle A is 30 degrees, and the measure of angle B is 124 degrees. Triangle A B C What is the measure of angle C in degrees? 26° 34° 94° 154°
Answer:
The angle would measure to 26
Step-by-step explanation:
This is because the degrees in the triangle added up have to equal 180.
Step 1: add the existing degrees
124+30= 154
Step 2: do 180 - the sum
180-154 = 26
Therefore the answer is 26
Answer:
The answer is 26 just trust me :)
Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?
Answer:
2/5
Step-by-step explanation:
4ounces of coffee in cup 1
4 ounces of cream in cup 2
In the first step pour 4/2=2 ounces of coffee from cup 1 to cup 2, getting:
2 ounces of coffee in cup 1
2 ounces of coffee and 4 ounces of cream in cup 2
In the second step we pour 2/2=1 ounce of coffee and 4/2=2 ounces of cream from cup 2 to cup 1, getting:
2+1=3 ounces of coffee and 0+2=2ounces of cream in cup 1
so the answer is 2/5
Please help 6TH GRADE MATH HELP ME OUT PLEASE
━━━━━━━☆☆━━━━━━━
▹ Answer
d. 7/20
▹ Step-by-Step Explanation
[tex]\frac{1}{4} + \frac{1}{10} \\= Common denominator is 20\\\\\frac{1}{4} = \frac{5}{20} \\\\\frac{1}{10} = \frac{2}{20} \\\\\frac{5}{20} + \frac{2}{20} \\\\= \frac{7}{20}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What is an equation of the line that passes through the point
(−1,5) and is parallel to the line
x−y=6?
Answer:
The equation in slope-intercept form is y = x + 6
Step-by-step explanation:
For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.
The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.
We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.
Now we have all necessary information.
Plug in the values: y - 5 = 1(x + 1)
Simplify: y - 5 = x + 1
Add 5 to both sides: y = x + 6
The answer is y = x + 6
Which expression is equivalent to 3\dfrac78 - 6\dfrac143 8 7 −6 4 1 3, start fraction, 7, divided by, 8, end fraction, minus, 6, start fraction, 1, divided by, 4, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A 3\dfrac78+\left(-6\dfrac14\right)3 8 7 +(−6 4 1 )3, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, minus, 6, start fraction, 1, divided by, 4, end fraction, right parenthesis (Choice B) B -6\dfrac14+\left(-3\dfrac78\right)−6 4 1 +(−3 8 7 )minus, 6, start fraction, 1, divided by, 4, end fraction, plus, left parenthesis, minus, 3, start fraction, 7, divided by, 8, end fraction, right parenthesis (Choice C) C 6\dfrac14-\left(3\dfrac78\right)6 4 1 −(3 8 7 )6, start fraction, 1, divided by, 4, end fraction, minus, left parenthesis, 3, start fraction, 7, divided by, 8, end fraction, right parenthesis (Choice D) D 3\dfrac78+\left(6\dfrac14\right)3 8 7 +(6 4 1 )
Answer:
[tex](A) 3\dfrac78+\left(-6\dfrac14\right)[/tex]
Step-by-step explanation:
Given the expression:[tex]3\dfrac78 - 6\dfrac14[/tex]
The given options are:
[tex](A)3\dfrac78+\left(-6\dfrac14\right)=3\dfrac78-6\dfrac14\\\\(B)-6\dfrac14+\left(-3\dfrac78\right)=-6\dfrac14-3\dfrac78\\\\(C)6\dfrac14-\left(3\dfrac78\right)=6\dfrac14-3\dfrac78\\\\(D)3\dfrac78+\left(6\dfrac14\right)=3\dfrac78+6\dfrac14[/tex]
We can see therefore that Option A is equivalent to the given expression.
Answer:
-25/-33
Step-by-step explanation:
-5/3x5/-11=
Help me pweasee
Find the value of the function f(x) = x2 + 9x + 14, when x = -2.
Answer:
-8
Step-by-step explanation:
(-2)2+9(-2)+14
-4+-18+14
-22+14
=-8
Hope this helps
Answer:
0
Step-by-step explanation:
f(x) = x^2 + 9x + 14, when x = -2.
f(x)=(x+7)(x+2)
f(x)=(-2+7)(-2+2)=0
Alonso is packing a box for shipping. The box contains 3 square ceramic plates with side lengths of 8 inches. He estimates that he will need 102 • 4 – 3(8 • 8 • 1) cubic inches of packing foam. Simplify to find the number of cubic inches of packing foam he will need.
Answer:
216 cubic inches
Step-by-step explanation:
We want to simplify:
102 * 4 - 3(8 * 8 * 1)
We will apply BODMAS:
Solving the Bracket first:
102 * 4 - 3(64)
102 * 4 - 192
=> 408 - 192
= 216 cubic inches
He will need 216 cubic inches of packing foam.
Which ordered pairs are solutions to the inequality y−4x≤−6? Select each correct answer. (−1, −9) (0, −5) (3, 5) (−2, −14) (1, 3)
Answer:
(3,5) (-2,-14)
Step-by-step explanation:
Just plug in values (x,y) in inequality
Which function represents the following graph?
Answer:
y = ∛(x+3) + 3
Step-by-step explanation:
I plugged each equation into a graphing calculator.
When the polynomial P(x)=ax^3+bx^2+3x-10 is divided by x+1, the remainder is -8. P(x) has a factor of x+5. Find the values of a and b.
Answer:
a = 1, b = 6
Step-by-step explanation:
The equation given is as follows;
P(x) = a·x³ + b·x² + 3·x - 10
The above equation has a factor of x + 5, therefore, we have;
P(-5) = 0 = a·(-5)³ + b·(-5)² + 3·(-5) - 10
-125·a + 25·b + (-15) - 10 = 0
-125·a + 25·b - 25 = 0
-125·a + 25·b = 25...........(1)
Also, we are given that;
a·x³ + b·x² + 3·x - 10 divided by x + 1 as a remainder, R = -8, therefore;
P(-1) = -8 = a·(-1)³ + b·(-1)² + 3·(-1) - 10
-a + b - 13 = -8
-a + b = -8 + 13 = 5
-a + b = 5............................(2)
Multiply equation (2) by 25 and subtract from (1) gives
-125·a + 25·b - 25(-a + b) = 25 - 25×5
-100·a = 25 - 125 = -100
a = 1
Therefore, from equation (2) we have;
-1 + b = 5
b = 5 + 1 = 6.
the picture is the qestion
Answer:
12/18 bcz simplyfing 12/18 will give us 2/3
6/9 (divided by 2)
2/3 (divided by 3)
Step-by-step explanation:
Explain why the initial value of any function of the form
f(x) = a(bx) is equal to a.
Answer:
Step-by-step explanation:
f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Hope this helps!
Step-by-step explanation:
which is the odd one out? explain reasoning: a) 0.93 divided by 0.03 b) 1.3 divided by 0.2 c) 0.7 divided by 0.07 d) 5.7 divided by 0.9
Answer:
Step-by-step explanation:
a. 0.93 ÷ 0.03 = 31
b. 1.3 ÷ 0.2 = 6.5
c. 0.7 ÷ 0.07 = 10
d. 5.7 ÷ 0.9 = 6.33333.....
d is odd one out as it is non terminating and recurring
whereas all others are terminating
Answer:
d) 5.7 ÷ 0.9
Step-by-step explanation:
a) 0.93 ÷ 0.03 = 31
b) 1.3 ÷ 0.2 = 6.5
c) 0.7 ÷ 0.07 = 10
d) 5.7 ÷ 0.9 = 6.333333333333...
The odd one out is d, because the answer is a repeating decimal, while the others are terminating.