Answer:
12 Hours
Step-by-step explanation:
So it says he writes 8 pages in 2 hours. Which would mean he takes an hour to write 4 pages. You divide 48 pages by 4 hours and you get 12.
What is the explicit fomula for this sequence
Answer:
C
Step-by-step explanation:
2(5)^4-1 = 2(5)^3
2*125 = 250 and 250 is the 4th term
Name the types of angles shown.
G
F
Н
E
Answer:
obtuse acute straight obtuse
Step-by-step explanation:
d²v dt² v=2t² +7t+11 Find
The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4
The second derivative of v with respect to t, we will differentiate v twice.
v = 2t² + 7t + 11
First, let's find the first derivative of v with respect to t (dv/dt):
dv/dt = d/dt (2t² + 7t + 11)
Using the power rule of differentiation, we differentiate each term separately:
dv/dt = 2(2t) + 7(1) + 0
dv/dt = 4t + 7
Now, let's find the second derivative of v with respect to t (d²v/dt²):
d²v/dt² = d/dt (4t + 7)
Again, using the power rule of differentiation, we differentiate each term separately:
d²v/dt² = 4(1) + 0
d²v/dt² = 4
Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.
To know more about second derivative click here :
https://brainly.com/question/29090070
#SPJ4
Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17, 18, and 19. Another example is -100, -99, -98. How many sets of two or more consecutive positive integers can be added to obtain a sum of 100? What are they?
help pls
The solution is 32 1/3 , 33 1/3 and 34 1/3
The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be = n
Let the second number be = n + 1
Let the third number be = n + 2
So , the sum of all the three consecutive numbers is 100
Substituting the values in the equation , we get
n + ( n + 1 ) + ( n + 2 ) = 100 be equation (1)
On simplifying the equation , we get
3n + 3 = 100
Subtracting 3 on both sides of the equation , we get
3n = 97
Divide by 3 on both sides of the equation , we get
n = 32 1/3
So , the first number n = 32 1/3
Second number = n + 1 = 33 1/3
Third number = n + 2 = 34 1/3
Therefore , A = 32 1/3 + 33 1/3 + 34 1/3 = 100
Hence , The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
you toss a pair of fair six-sided dice. 6-sided green and red dice 2 (a) determine the number of possible outcomes. (the size of the sample space) (b) how many outcomes are possible with odd numbers appearing on each die? (c) what is the probability that both dice will show an odd number? (round your answer to two decimal places.)
(a) There are 36 possible outcomes.
(b) There are 9 outcomes possible with odd numbers appearing on each die.
(c) The probability that both dice will show an odd number is 0.25
To determine the number of possible outcomes, we multiply the number of possible outcomes for each die, which is 6. Therefore, the total number of possible outcomes is
6 x 6 = 36
To count the number of outcomes with odd numbers on each die, we need to count the number of ways we can get an odd number on one die and an odd number on the other die. Since there are three odd numbers on each die (1, 3, 5), there are three ways to get an odd number on each die. Therefore, the total number of outcomes with odd numbers on each die is
3 x 3 = 9
To calculate the probability of both dice showing an odd number, we need to divide the number of outcomes with odd numbers on each die (which is 9, as calculated in part (b)) by the total number of possible outcomes (which is 36, as calculated in part (a)). Therefore, the probability of both dice showing an odd number is
9/36
which simplifies to 1/4 or 0.25 when rounded to two decimal places.
To know more on dice
https://brainly.com/question/22597778
#SPJ4
Given that 3 x − 5 y = 2 Find x when y = 8
At the produce store you can buy 4 bags of bananas for $30.16. How much would it cost if you were to buy 7 bags?
The cost of 7 bags of bananas will be $52.78.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition,substraction, multiplication, and division.
Given that at the produce store, you can buy 4 bags of bananas for $30.16. The cost of 7 bags will be calculated as:-
4 bags = $30.16
1 bag = $30.16 / 4
7 bags = ( 7 x $30.16) / 4
7 bags = $52.78
Therefore, the cost of 7 bags of bananas will be $52.78.
To know more about an expression follow
https://brainly.com/question/29204000
#SPJ1
Solve the inequality graph the solution |x-5|< 3
Answer:
x<-2
Step-by-step explanation:
Since there are absolute value bars around the equation everything inside the equation is now a positive value. Then to solve we need to get x alone
MATH SUFACE AREA OF PYRAMIDS
WILL GIVE YOU MY LAST 10 POINTS!!!! AND BRAINLYIST!!
Step-by-step explanation:
the surface areas are always the sum of the areas of the individual sides and base area.
so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.
the area of a triangle is
baseline × height / 2
or with Heron's formula when we have all sides
s = (a+b+c)/2
area = sqrt(s×(s-a)×(s-b)×(s-c))
the area of a rectangle is
length × width
for a square that is then
side × side = side²
and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is
3 × sqrt(3) × side² / 2
1.
square base area : 10×10 = 100 cm²
lateral areas :
one triangle is 10×13/2 = 65 cm²
4 triangles are then 4×65 = 260 cm²
total surface area :
100 + 260 = 360 cm²
2a.
3 lateral triangles :
3 × 8×10/2 = 120 units²
base area (Heron's, as all 3 sides are 8 units) :
s = 3×8/2 = 12
area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)
total surface area :
120 + 16×sqrt(3) = 147.7128129... units²
2b.
4 lateral triangles :
4 × 8×10/2 = 160 units²
base area : 8×8 = 64 units²
total surface area :
160 + 64 = 224 units²
2c.
6 lateral triangles :
6 × 8×20/2 = 480 units²
base area :
3×sqrt(3)×8²/2 = 96×sqrt(3)
total surface area :
480 + 96×sqrt(3) = 646.2768775... units²
2d.
base area : 16² = 256 units²
4 lateral triangles. but we need to get their height first.
Pythagoras :
(16/2)² + 24² = height²
8² + 24² = height²
64 + 576 = height²
height² = 640
height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)
4 triangles are
4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²
total surface area :
256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²
Where is the head-quarter of Microsoft Corporation?
Answer:
A straight angle.
Step-by-step explanation:
Answer:
The Headquater of Microsoft Corporation is somewhere in the Redmond Area in Washington, USA\(.\)Explore more:
Do you know something more about Microsofts?
The founder of Microsoft is Bill Gates and Paul Allen. With this, Bill Gates became the youngest billionaire of all time.Hope you have seen the logo. It was designed by Paul Allen.The 'O' is known as Blibbet in the logo of Microsoft.As the name says, Microsoft is a leading global company made for developing softwares and applications.An Internet marketing campaign that begins with 500 initial viewers is predicted to grow exponentially at a rate of 88% per day. What equation can be used to predict the total number of viewers, y, after d days? Enter your answer into the box. y = ( )d
The equation that can be used to predict the total number of viewers, y, after d days is y = 500(1.88)^d. To understand the equation, let's break it down.
The initial number of viewers is 500, so we start with that number. The growth rate is 88% per day, which means the number of viewers will increase by 88% each day. We use 1.88 as the multiplier because that is 100% (the starting number) plus 88%. So, on the first day, the equation becomes y = 500(1.88)^1, which equals 940 viewers. On the second day, the equation becomes y = 500(1.88)^2, which equals 1,768 viewers. As you can see, the number of viewers grows exponentially as the days go by. The formula can be used to predict the number of viewers after any number of days. For example, after 5 days, the equation becomes y = 500(1.88)^5, which equals 16,407 viewers. The formula assumes that the growth rate remains constant and there are no external factors that could affect the number of viewers.
To know more about equation visit :
https://brainly.com/question/10413253
#SPJ11
Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?
Answer:
pa answer din po please!!
Given g(h)=-x-4, find g(5)
g(h) = -x - 4
g(5) = -5 - 4
g(5) = -(5 + 4)
g(5) = -9✓
I hope this helps
help pls, i dont get this
Answer:
Your already got it.
Step-by-step explanation:
I have no explanation for this.
In ΔRST, r = 94 inches, s = 78 inches and ∠T=49°. Find the area of ΔRST, to the nearest square inch.
The area of ΔRST is 2767 square inches.
We have,
r = 94 inches, s = 78 inches and ∠T=49
We will use the formula
Area= 1/2 a b sin C
So, area of ΔRST
= 1/2 r s sin <T
= 1/2 (94) (78) sin (49)
= 3666 sin(49)
= 2766.7653
= 2767 square inches
Learn more about Area of Triangle here:
https://brainly.com/question/19305981
#SPJ1
What is the value of x
Answer:
9
Step-by-step explanation:don't use this awnser its wrong
what expresses the specific number of instances in an entity
The specific number of instances in an entity is typically expressed using the term "count" or "quantity."
It represents the numerical value that indicates how many individual instances or objects are present within a given entity or set.
For example, if you are referring to the number of students in a classroom, you might say, "The count of students in the classroom is 25." Here, "25" represents the specific number of instances (students) within the entity (classroom).
Similarly, if you are discussing the quantity of apples in a basket, you might say, "The quantity of apples in the basket is 10." In this case, "10" represents the specific number of instances (apples) within the entity (basket).
So, "count" or "quantity" are the terms commonly used to express the specific number of instances in an entity.
To learn more about quantity
https://brainly.com/question/11624077
#SPJ11
Ariana has a deck that measures 16 feet by 24 feet. She wants to increase each
dimension by equal lengths so that its area is doubled. By how much should she
increase each dimension?
Can anyone help plss:)
Answer:
The answer would be 80.
Step-by-step explanation:
First you want to add 16 and 24.
Next you want to multiply that answer by 2.
Then you have your answer and I hope this helps
A Buggatti can reach a top speed of 300 mph. At this rate, how many more hours would it take for the bugatti to travel 1500 miles if they have already traveled 600 miles?
Subtract miles traveled from total miles:
1500 - 600 = 900 more miles to go
Divide miles to go by speed:
900 / 300 = 3 hours
3 more hours
Answer:
3 more hours
Step-by-step explanation:
Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.
A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem
B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
PLZZZ NO LINKS!?!?!?!?
Answer:
A)
Step-by-step explanation:
Angle should be in between two congruent sides.
The arms of ∠W are WX and ZW and these two sides are congruent to the arms of ∠Y , XY & YZ
Aril and Dita are wealthy Norwegian business owners who make monthly donations to international disaster relief. Aril donated 150150150 Norwegian kroner (\text{kr})(kr)left parenthesis, start text, k, r, end text, right parenthesis the first month, and the cumulative number of Norwegian kroner she has donated increases by a factor of 2. 52. 52, point, 5 each month. Dita donated 300\,\text{kr}300kr300, start text, k, r, end text the first month, and the cumulative number of Norwegian kroner she has donated increases by 400\,\text{kr}400kr400, start text, k, r, end text each month. They started making donations at the same time, and they both make their monthly donations at the beginning of each month
Aril's cumulative donation exceeds Dita's cumulative donation in the 5th month. At that time, Aril has donated 4,656.25 kr and Dita has donated 4,400 kr.
To solve the problem, we can start by setting up the equation for the cumulative donation for each person. Let A be Aril's cumulative donation in kr and let D be Dita's cumulative donation in kr. Then we have:
A(n) = 150(2.5)⁽ⁿ⁻¹⁾ where n is the number of months
D(n) = 300 + 400(n-1) where n is the number of months
We want to find the smallest value of n such that A(n) > D(n). Substituting in the equations above, we get:
150(2.5)⁽ⁿ⁻¹⁾ > 300 + 400(n-1)
Simplifying, we get:
(2.5)⁽ⁿ⁻¹⁾ > 2 + 8/15(n-1
We can solve this inequality by trial and error or by using logarithms. Using logarithms, we get:
(n-1)log(2.5) > log(2 + 8/15(n-1))
(n-1) > log(2 + 8/15(n-1))/log(2.5)
Using trial and error or a calculator, we can find that the smallest integer n that satisfies this inequality is 6. Therefore, Aril's cumulative donation exceeds Dita's cumulative donation in the 6th month.
Learn more about integer here: brainly.com/question/15276410
#SPJ4
Complete question:
Aril and Dita are wealthy Norwegian business owners who make monthly donations to international disaster relief.
• Aril donated 150 Norwegian kroner (kr) the first month, and the cumulative number of Norwegian kroner she has donated increases by a factor of 2.5 each month.
• Dita donated 300 kr the first month, and the cumulative number of Norwegian kroner she has donated increases by 400 kr each month.
They started making donations at the same time, and they both make their monthly donations at the beginning of each month.
What is the first month in which Aril's cumulative donation exceeds Dita's cumulative donation?
pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000$
Answer:
16,17,18,19
Step-by-step explanation:
one guy guessed. probably using a calculator
another guy took the 4th root of 100,000 and rounded down a number
(a third way started like this
n*(n+1)*(n+2)(n+3)=100000
Select the slope-intercept form of the equation of the line.
5x - 4y = -20
x+5
y=
y =
y =
x + 5
y=x+5
y = -x +5
Answer:
5x - 4y = -20
y = x + 5
y = -x + 5
Step-by-step explanation:
The formula for slope-intercept form is y = mx + b, with b being the y-int.
If the equation does not have an x, y, or b, it is not a slope-intercept form.
5x - 4y = -20 (can be rearranged to y = 5/4x + 5)
y = 1, x = 5/4, b = 5
y = x + 5y
x = 1, y = 1, b = 5
y = -x + 5
x = -1, y = 1, b = 5.
Other answer choices does not have all three variables.
Triangle LRG is similar to Triangle CNP. Find the scale factor required to dilate triangle LRG so that its image is is congruent to triangle CNP.
Triangle LRG is similar to triangle CNP. Therefore, the following ratios apply;
\(\begin{gathered} \frac{CN}{LR}=\frac{PN}{GR} \\ \text{Similarly,} \\ \frac{CP}{LG}=\frac{PN}{GR} \end{gathered}\)Hence, for triangle LRG to be dilated to become CNP,
\(\begin{gathered} \frac{45}{30}=\frac{48}{32} \\ \frac{3}{2}=\frac{3}{2} \end{gathered}\)Therefore, the scale factor needed to dilate triangle LRG so that its image is congruent to triangle CNP is 1.5 (that is the decimal equivalent of 3/2)
This means triangle LRG would be multiplied by 1.5 in order to have an image congruent to triangle CNP
HELPPPPPPPPPPPPPPPPPPPP
Answer:
i wish i knew but try just posting the pictures on the math page and boom
Answer: it should just be (x, -y)
Step-by-step explanation:
which is equivalent to ( a^2/3 b ^1/3) ^1/2
Answer:
Answer E is correct
Step-by-step explanation:
We know that,
\((x^ay^b)^c=x^a^cy^b^c\)
Let us use the above to find the answer to this question.
Let us solve it now.
\((a^\frac{2}3} b^\frac{1}{3})^\frac{1}{2}\)
\(a^\frac{2}3}^*^ \frac{1}{2} *b^\frac{1}{3}^*^\frac{1}{2}\)
\(a^\frac{2*1}{3*2} * b^\frac{1*1}{3*2}\)
\(a^\frac{2}{6} * b^\frac{1}{6}\)
Here, we can simplify the \(a^\frac{2}{6}\) as \(a^\frac{1}{3}\) by dividing the numerator and denominator by 2.
Therefore, the answer will be,
\(a^\frac{1}{3} b^\frac{1}{6}\)
if the diameter of a circle is 2.5 inches what is the circumference of the circle
Answer:
7.85 inches
Step-by-step explanation:
2. Simplify the algebraic expression 15(x + 3)(x + 2) - 3(x2 + 2x + 1). A 2x2 + 7 B 2x2 + 27 C 2x2 + 7x + 7 D 2x2 + 19x + 27
Thus, the simplified algebraic expression is 12x² + 69x + 87. Thus, all options mentioned are incorrect.
To simplify the given algebraic expression, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Let's start by using the distributive property to simplify the first part of the expression:
15(x + 3)(x + 2) = 15(x² + 5x + 6) = 15x² + 75x + 90
Now let's simplify the second part of the expression:
-3(x² + 2x + 1) = -3x² - 6x - 3
Now we can combine both parts of the expression and simplify further:
15x² + 75x + 90 - 3x² - 6x - 3 = 12x² + 69x + 87
Therefore, the simplified algebraic expression is 12x² + 69x + 87.
Option D, 2x² + 19x + 27, is the closest answer to our simplified expression, but it is not the correct answer. Therefore, the correct answer is not listed among the answer options provided.
In summary, when simplifying an algebraic expression, it is important to follow the order of operations and use the distributive property to simplify expressions that have parentheses. Once the expression is simplified, we can compare it to the answer options provided to find the correct solution.
Know more about the distributive property
https://brainly.com/question/2807928
#SPJ11
f(x)=((x^2)+5)/(2) please help
Answer:
the answe
Step-by-step explanation: