Answer:
So the sequence of the five numbers are;
10,26,74,218,650
Step-by-step explanation:
In this question, we are interested in building a sequence of 5 numbers given the initial term.
Okay, to build this sequence, we will need to look at the rule that guides the building of the new sequence:
The rule is that the next term is 4 less than 3 times the previous term.
Okay, let’s call the next term y, while the previous term is x.
Following what was specified in the question;
y = 3x -4
Recall; the next term(y) is 4 less (-4) than 3 times (3 multiplied by) the previous term (x)
So let’s start with the initial term of 10.
The next term will be;
y = 3(10) -4 = 30-4 = 26
The next term after 26 will be ;
y = 3(26) -4 = 78-4 = 74
The next term after 74 will be;
y = 3(74) -4 = 222-4 = 218
The next term after 218 will be;
y = 3(218) -4 = 650
Carlos spent 1 1/4 hours doing his math homework. He spent 1 1/4 as much time practicing piano. How many hours did Carlos spend practicing piano?
Answer:
7.6525 hours
Step-by-step explanation:
11 / 4 = 2.75 so he spent 2.75 h doing his HW.
and he spent (11/4) x 2.75 practicing piano
(11/4) x 2.75 = 7.6525
The number of hours Carlos spends practicing piano will be 7.6525 hours.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that 11 / 4 = 2.75 he spent 2.75 h doing his HW. and he spent (11/4) x 2.75 practicing piano.
The number of hours Carlos spends practicing piano will be calculated as below:-
(11/4) x 2.75 = 7.6525 hours
Therefore, the number of hours Carlos spends practicing piano will be 7.6525 hours.
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ILL MARK YOU BRAINLIEST!!!!!! ∠A = 5x - 15.∠B = 2x + 21.Solve for x and then find the measure of ∠B.
Answer:
x=6 b=45
Step-by-step explanation:
45=5x-15. 45-15=30. 5x=30. x=6. b=45
Which fraction has a terminating decimal as it’s decimal expansion? A.1/3 B.1/5 C.1/7 D.1/9
Answer:
B
Step-by-step explanation:
Let's turn these fractions into decimals.
A: 1/3 = 0.333333......
B: 1/5 = 0.2
C: 1/7 = 0.142857143142....
D: 1/9 = 0.1111111.....
As you can see, the only decimal expansion that terminates, or has a finite number of digits after the decimal point, is 1/5.
Find the exact circumference of a circle with a diameter of 5 inches
Answer: circumference of circle=2πr or πd(since d=2r)
2ײ²/7×⁵/2
Two cancels two
22×5/7
=110/7
=15•71
Bruce wants to find the perimeter of a rectangular plot of land. The length is (6x-29) km. The width measures (5x-17) km. What is the perimeter of the plot of land
Units for the perimeter are in kilometers
==============================================
Work Shown:
L = length = 6x-29
W = width = 5x-17
P = perimeter of rectangle
P = 2*(L + W)
P = 2*(6x-29 + 5x-17)
P = 2*(11x - 46)
P = 2*11x + 2*(-46)
P = 22x - 92
If we knew the value of x, then we could find the actual numeric value for the perimeter. However, we don't have that info, so we leave it as is.
Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Statement 3: There are exactly 30 more girls than boys. True False Explain your thinking.
Answer: True
Step-by-step explanation:
Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.
There are 270 students at his school.
Then, Total boys = [tex]\dfrac{4}{4+5}\times270=\dfrac{4}{9}\times270=120[/tex]
Total girls =[tex]\dfrac{5}{4+5}\times270=\dfrac{5}{9}\times270=150[/tex]
Clearly, (Number of girls) > (Number of boys)
Difference = (Total girls) - (Total boys)
= 150-120
= 30
So, Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
1/3x+5=12 i do not understand this math equation
Answer: x = 21
Step-by-step explanation: First, isolate the x term by
subtracting 5 from both sides of the equation.
We get 1/3x = 7.
Next, multiply both sides of the equation by
the reciprocal of 1/3 which is 3/1 to get x by itself.
On the left, 3/1(1/3) cancels and on the
right when we multiply 7(3/1), we get 21.
So we have x = 21.
Solve k(m) – p when k= -5, m = 8, and p = -12 a. -28 b. -62 c. 28 d. 64
Answer:
-28 is the answer.
Step-by-step explanation:
=k(m) – p
substituting the values k = -5, m = 8 and p = -12
=-5×(8) – (-12)
=-40+12
=-28 is the answer.
hope it will help :)
Answer:
A. -28
Step-by-step explanation:
1. K= -5, M= 8, -5x8 gives you -40
2. p = -12, subtract, -40 - -12 = -28.
How do i match the statements
Step-by-step explanation:
Michelle orders soup, or she orders salad goes with disjunction.
The fireworks were loud and colorful goes with conjunction.
If the watch is broken, then it it showing the wrong time goes with conditional.
A set of points forming a closed figure, every point of which is a fixed distance from a given center best defines which shape? * Rectangle Square Rhombus Circle
Every point on the circle is the same distance away from the center. The distance from any point to the center is exactly the radius, and twice that is the diameter.
Determine which of the following correctly states the ratio of pens and pencils. Select yes or no for each.
(For each one, you can just number it and put yes or no besides it)
Answer:
6 : 8, 3/4, 3 to 4
Step-by-step explanation:
As counted on the picture, there are:
6 pens and 8 pencilsThe ratio pens to pencils is:
6 : 8 = 3 : 4 = 3 to 4So there are 3 correct choices
during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?
Answer:
40 field goals
Step-by-step explanation:
Represent 2-point with x and 3-point with y;
Given
[tex]x = 3y[/tex]
[tex]2x + 3y =90[/tex]
Required
Determine x and y
[tex]x = 3y[/tex]
[tex]2x + 3y =90[/tex]
Substitute 3y for x in [tex]2x + 3y =90[/tex]
[tex]2(3y) + 3y = 90[/tex]
[tex]6y + 3y = 90[/tex]
[tex]9y = 90[/tex]
Divide both sides by 9
[tex]y = 10[/tex]
Substitute 10 for y in [tex]x = 3y[/tex]
[tex]x = 3 * 10[/tex]
[tex]x =30[/tex]
The number of field goals = x + y
[tex]x + y = 30 + 10[/tex]
[tex]x + y = 40[/tex]
Hence, the number of field goals is 40
How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? Two Zero Infinitely many One
Answer:
one solution
Step-by-step explanation:
3x − 7 = 4 + 6 + 4x
Combine like terms
3x-7=4x+10
Subtract 3x from each side
-7=x+10
Subtract 10 from each side
-17 =x
There is one solution
Which are the most important task for project planning?
NB: Please give brainliest to those who ask it.
Answer:
1. Adjusting the budget and communicating with the team assessing the final project.
2. Finishing up old projects.
3. Creating a time line and making the budget updating the schedule.
4. Prioritizing tasks and distributing resources.
5. Scheduling meetings and updating spreadsheets assigning resources to tasks.
Hope it helps!!Please mark me as the brainliest!!!Thanks!!!!❤❣❤
The cube of a positive number divided by the square of the same positive number is a. 2 b. 4 c. 6 or d. 8
Answer:
this question makes zero sense please rephrase it
Step-by-step explanation:
Which of the following is the graph of the quadratic function y=x^2+10x+16?
Answer:
Vertex: ( − 5 , − 9 ) Focus: ( − 5 , − 35 4 ) Axis of Symmetry: x = − 5 Directrix: y = − 37 4 Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex. Tap for more steps... x y − 7 − 5 − 6 − 8 − 5 − 9 − 4 − 8 − 3 − 5 Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( − 5 , − 9 ) Focus: ( − 5 , − 35 4 ) Axis of Symmetry: x = − 5 Directrix: y = − 37 4 x y − 7 − 5 − 6 − 8 − 5 − 9 − 4 − 8 − 3 − 5
Hoped I helped
Answer:
It's the one that's on the left of the y axis. I took the test.
Which equation below represents the equivalent exponential equation for the equation of log6 256=x?(in picture)
Answer:
Here is my answer I hope this helps <(^w^)>
The correct expression is [tex]6^{x} = 256[/tex]
What is exponential equation?An exponential equation is an equation with exponents where the exponent a part of the exponent is a variable.
Given an exponential equation, [tex]log_{6} 256 = x[/tex]
Using formula :-
[tex]y = log_{a} x \\x = a^{y}[/tex]
[tex]log_{6} 256 = x[/tex]
[tex]6^{x} = 256[/tex]
Hence, the correct answer is [tex]6^{x} = 256[/tex]
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If the angles of a triangle are (2y - 5)degrees, (y + 20)degrees, and (3y-5) degrees what are the values of the angles
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{51.68 \: , \: 48.34 \:, \: 80.02}}}}[/tex]Step-by-step explanation:
Let's solve:
As we know that the sum of angles of traingle adds to 180°
[tex] \sf{2y - 5 + y + 20 + 3y - 5 = 180}[/tex]
Collect like terms
⇒[tex] \sf{6y - 5 + 20 - 5 = 180}[/tex]
⇒[tex] \sf{6y + 15 - 5 = 180}[/tex]
⇒[tex] \sf{6y + 10 = 180}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{6y = 180 - 10}[/tex]
Calculate the difference
⇒[tex] \sf{6y = 170}[/tex]
Divide both sides of the equation by 6
⇒[tex] \sf{ \frac{6y}{6} = \frac{170}{6} }[/tex]
Calculate
⇒[tex] \sf{y = 28.34}[/tex]
Now, let's replace the value:
⇒[tex] \sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}[/tex]
⇒[tex] \sf{y + 20 = 28.34 + 20 = 48.34}[/tex]
⇒[tex] \sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}[/tex]
Hope I helped!
Best regards!!
Answer:
51 2/3 , 48 1/3 and 80 degrees.
Step-by-step explanation:
The 3 angles add up to 180 degrees.
2y - 5 + y + 20 + 3y - 5 = 180
6y + 10 = 180
6y = 180 - 10
6y = 170
y = 170 / 6 = 28 1/3 degrees.
So the 3 angles are 2(28 1/3) - 5, 28 1/3 + 20 and 3(28 1/3) - 5.
i need help................
Answer:
Hey there!
Three basic rules determine this:
Positive Numbers are always greater than Negative Numbers.
If both are positive, the number with the greater magnitude is larger.
If both are negative, the number with the smaller absolute value is larger.
Let me know if this helps :)
Answer:
23x15=23x(10+5) Method 1 and 5
=23x10+23x5
=230+115
23x15=(20+3)x15 Method 2
=20x15+3x15
=300+45
23x15=(20+3)x(10+5)
=20x10+20x5+3x10+3x5 Method 3 and 6
=200+100+30+15
Step-by-step explanation:
simplify ( root 3 + root 7) over 2
Answer:
5 r o 2 t
Step-by-step explanation:
(√3+√7)²
We know ,[(a+b)²=a²+2ab+b²]
=>(√3+√7)²=(√3)²+2(√3)(√7)+(√7)²
=>(√3+√7)²=3+2√21+7
=>(√3+√7)²=10+2√21
Cool Down: Almond Bags Bags of almonds from a food producer are advertised to weigh 500 grams each. Twenty bags of almonds are weighed. The scatter plot shows the absolute error between the actual weight and the advertised weight of those bags. Estimate the largest absolute error.
Answer:
12 grams
Step-by-step explanation:
Absolute error is the difference between the measured value and the actual value.We can see on the plot that absolute error is spread between zero and 12 grams.
The largest absolute error is approximately 12 grams as per plot on the top right. It gives the bag weight of 512 grams vs advertised 500 grams.
Answer:
It’s 11
Step-by-step explanation:
Identify the domain of the function. A) (−2, 4) B) (−3, 3) C) [−2, 4] D) [−3, 3]
Answer:
(-2,4)
Step-by-step explanation:
The domain is the values for the input
X goes from -2 to 4 not including the endpoints
(-2,4)
The algebraic expression for "the quotient of 73 and x" is
Answer
it could be 73/x
Step-by-step explanation:
What is the turning point or vertex of the parabola???
A business school event invites all of its graduate and undergraduate students to attend. Of the students who attend, male graduate students outnumber male undergraduates by a ratio of 7 to 2, and females constitute 70% of the group. If undergraduate students make up 1/6 of the group, which of the following CANNOT represent the number of female graduate students at the event?
a. 18
b. 27
c. 36
d. 72
e. 180
The cost C of mailing a letter first class in the United States is $0,45 for the first ounce.
Each added ounce, or fraction of an ounce, o, costs an additional $0.20.
1. Write an equation to represent the total cost, C, to mail a first class letter that
weighs n ounces.
C=
Answer: C= 0.25 + 0.20n
Step-by-step explanation:
Let n be the number of ounces of the letters.
As per given,
Cost per ounce = $0.45
Additional cost per ounce = $0.20
So, the equation to represent the total cost, C, to mail a first class letter that weighs n ounces will be
C= 0.45 + (n-1)(0.20)
⇒ C= 0.45 + 0.20n-0.20
⇒ C= 0.25 + 0.20n
Hence, the required equation is C= 0.25 + 0.20n .
rate of change x=3 x=5
Answer:
The average rate of change for g(x) is { g(x+h)-g(x) }/h
In our case,
{ log(5+1) - log(3+1) }/(5-3) = (.778-.602)/2 = .088
Compare it to the derivative of log(x+1) for the values: the derivative is D = (1/ln10)(1/(x+1))
at x = 3 D = .1086
at x = 4 D = .0869
at x = 5 D = .0724
Take the average of D over the interval and you get .0893 and very close to the midpoint of the x values
Step-by-step explanation:
The arcs in the diagram are labeled with their measures in degrees. What is the measure of arc uv?
Answer:
10 steps
Step-by-step explanation:
mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest
this will be helpful and don't forget to mark me
I found this on B i n g because I don't have a map of India.
Rice is mainly grown and eaten in South and East India, while wheat is predominantly grown and eaten in North and West India.
(The first picture is top ten).
(The second one is all).
♡ Anyways I hope this helped! ♡
❀ Have an amazing day or night! ❀
Brainiest is appreciated! ♡
Your team scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?
Answer:
If the total scored was 123 and your team scored 67 in the first half then in the second half they will score 56 points.
Step-by-step explanation: