Answer:
Try 8.91
Step-by-step explanation:
6.84+4.19=11.03-2.12=8.91
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
The graph shows the savings in Andre's bank account.
Explain what the vertical intercept represents in this situation.
Answer:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Step-by-step explanation:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Answer:
The initial amount
Step-by-step explanation:
Let's find equation of line
(0,40)(4,60)Slope
\(\\ \tt\hookrightarrow m=60-40/4=5\)
Equation in point slope form
\(\\ \tt\hookrightarrow y-40=5(x)\)
\(\\ \tt\hookrightarrow y=5x+40\)
What is the average rate of change of g over the interval [-1 4]
Answer:
your answer will be -1.2
Step-by-step explanation:
hope it helps you
have a great day
It Quiz: Graphs and Measurement
Diana is making enough soup to feed 9 people. She plans to serve all of the soup to her guests in 6-ounce bowls.
In order to make enough soup, she needs to add a total of 4.75 cups of water. There are 8 ounces in a cup.
How many total ounces of water did Diana add to her soup? What is the total number of ounces of the other
ingredients in her soup? Explain how you found your answers.
Type your answer in the box below.
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Answer:
1. 57/16 or 3.5625 ounces of water
8 : 4.75
1 : 19/32 -----> divide both by 8
19/32x6=57/16 = 3.56 ounces
2. 2.4375 ounces of other ingredients
6-3.5625=2.4375
If you are given the diameter, how can you calculate the radius
Answer:
divide the diameter by 2
I need help please! Can someone please I beg you help me
Answer:
Insert x's for every x in your equaton.
Step-by-step explanation:
h(×)=4(-5)+5=-15
h(×)=4(-1)+5= 1
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
I WILL MARK BRAINIEST
Answer:
okt hank
Step-by-step explanation:
Given that polygons ABCD is similar to KGHJ Set up a proportion and solve for X
Answer:
9
Step-by-step explanation:
3/16=x/48
cross multiply
16x=48*3
16x=144
x=9
What is the exact length of HG in cms
The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.
Considering angle G, lets find sin 45°\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)
[ sin 45° = 1/√2 ]
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)
So, the side HG is b√2 cm long
3/4+x=2x−x+_
Make equation have infinite solutions in the blank
Answer:
3/4
Step-by-step explanation:
3/4+x=2x−x+_
2x-x is x
So the equation is now
3/4+x=x+_
So to have infinite solutions, we will have to get both of the sides the same value
Since there is already an x on both sides we don't have to worry about it
Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation
Hope this helps!
Needs to be done using the Pythagorean Theorem
Answer:
11.3 ft high
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
4² + b² = 12²
16 + b² = 144
b² = √128
b = 11.3
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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Multiple Choice
Order the numbers in each list from least to greatest.
-4, 1, -6, 2
A. -4, -6, 1, 2
B. -6, -4, 1, 2
C.-6, 2, 1, -4
D. 1, 2, -6, -4
Answer:
A. -6, -4, 1, 2
Step-by-step explanation:
:)
solve for x
\(\bold{4x - 64 = 0}\)
ty! ~
Answer:
\(\tt x = 16\)
Step-by-step explanation:
\(\tt 4x-64=0\)
Add 64 to both sides.
\(\tt 4x - 64 + 64 = 0+ 64\)
Simplify.
\(\tt 4x = 64\)
Divide both sides by 4.
\( \tt \cfrac{4x}{4} = \cfrac{64}{4} \)
Simplify.
\(\tt x = 16\)
Done!!!
\(\Large\maltese\star\underline{\textbf{What is Asked}}\star\maltese\)
Solve for x. \(\bf{4x-64=0}\).\(\Large\maltese\star\underline{\textbf{The required answer is below -:}}\star\maltese\)
First we need to add 64 to both sides. That way, we will be one step closer to solving this in terms of x.
\(\bf{4x-64+64=0+64}\) | on the left side the 64's sum to zero
\(\bf{4x=0+64}\) | the right side is now 64
\(\bf{4x=64}\) | divide the equation by 4
\(\bf{x=16}\)
\(\cline{1-2}\)
\(\gray\star\bf{Result / Required\;Answer:}\)
\(\star\blacksquare\Large\boxed{\boxed{\bf{X=16.}}}\blacksquare\star\)
Key to solving this problem -:When you're solving an equation in terms of x, or any other variable, use inverse operations to solve it. For instance, if something is added to x, use subtraction. If something is subtracted to x, use addition.
If x is multiplied by something, use division. If x is divided by something, use multiplication.
\(\infty\LARGE\boxed{\bf{\brace aesthetic\not1\theta\ell}}\infty\)
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
What is the slope of the line whose equation is 12=4x-6y?
Answer:
slope is 2/3
Step-by-step explanation:
12=4x-6y
We add 6y both sides
12+6y=4x
than subtract 12 from both sides
6y=4x-12
than divide both sides by 6
y=2/3x-2
and the slope is 2/3
The first digit of a six-digit number is 1. This digit 1 is now moved from the first digit position to the end, so it becomes the last digit. The new six-digit number is now 3 times larger than the original number. What are the last three digits of the original number?
If the first digit of a six-digit number is 1. the last three digits of the original number is: (0, 2, 4, 6, or 8) for the equation to hold.
How to find the digits of original number?Let's represent the original six-digit number as ABCDEF, where A is the first digit, and F is the last digit. Since we know that A is 1, we can represent the original number as 1BCDEF.
When we move the digit 1 from the first digit position to the end, we get the new number BCDE1F. We are told that this new number is three times larger than the original number, so:
BCDE1F = 3 × 1BCDEF
BCDE1F = 300000B + 30000C + 3000D + 300E + 30F
Simplifying this equation, we get:
100000B + 10000C + 1000D + 100E + 10F + 1 = 3(100000 + 10000B + 1000C + 100D + 10E + F)
Expanding the right-hand side, we get:
100000B + 10000C + 1000D + 100E + 10F + 1 = 300000 + 30000B + 3000C + 300D + 30E + 3F
Simplifying further, we get:
70000B + 7000C + 700D + 70E + 7F = 299999
Dividing both sides by 7, we get:
10000B + 1000C + 100D + 10E + F = 42857
Since we know that F is the digit 1, we can rewrite this equation as:
10000B + 1000C + 100D + 10E + 1 = 42857
Subtracting 1 from both sides, we get:
10000B + 1000C + 100D + 10E = 42856
The last three digits of the original number are BCE. To find them, we can divide both sides of the above equation by 100 and take the remainder:
(10000B + 1000C + 100D + 10E) mod 100 = 56
Simplifying the left-hand side, we get:
(100B mod 100) + (10C mod 100) + (D mod 100) + (10E mod 100) = 56
Since the first three terms are divisible by 100, we can ignore them and focus on the last term:
10E mod 100 = 56
The only digit of E that satisfies this equation is 6. Therefore, the last three digits of the original number are 1BC, which is 16C in decimal form. We don't have enough information to determine the exact value of C, but we know that it must satisfy the equation:
10000B + 1000C + 100D + 10(6) = 42856
Simplifying, we get:
1000C + 100D = 42796 - 10000B
Since the left-hand side is divisible by 100, the right-hand side must also be divisible by 100. Therefore, B must be an even digit (0, 2, 4, 6, or 8) for the equation to hold.
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House A is twice as tall as house B. How tall is house B.
Answer:
12ft
Step-by-step explanation:
house A = 2*house B
24 = 2*b
24/2 = 12
Answer:
house B is 12 because 24 divided by two is 12
Help pls? I rlly need it!!!
Answer:
sorry i wish i can help but i am in middle school sorry
Step-by-step explanation:
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
Solve the following and graph the solutions
3x +1 <10 and - 4x + 3 > - 17
9514 1404 393
Answer:
x < 3
Step-by-step explanation:
The solution to the first inequality is ...
3x +1 < 10
3x < 9 . . . . . . . subtract 1
x < 3 . . . . . . . . divide by 3
The solution to the second inequality is ...
-4x +3 > -17
-4x +20 > 0 . . . . . add 17
20 > 4x . . . . . . . . .add 4x
5 > x . . . . . . . . . . . divide by 4
Values of x that are both less than 5 and less than 3 must be less than 3. The solution is ...
x < 3
slope = 2; y-intercept = -1
Answer:
line equation: y= 2x-1
Slope intercept formula
y=mx+b
m is also the slope
b is the y-intercept
y=2x+(-1)
+ positive sign and -negative sign= - negative sign
y=2x-1
Answer :
y=2x-1
Una función de magia se llevó a cabo en el auditorio de la escuela. Asistieron 150 adultos
que representan 2/5 partes del público; el resto eran niños y niñas. ¿Cuántas personas en
total vieron la función?
Para obtener 1/5 parte se divide:________ ; entonces, para conocer el total se
multiplica________ . Asistieron_______ personas.
Si del total de personas en el auditorio 2/3 son hombres, ¿cuántas mujeres hay? El total de
personas es de_________ ; por tanto, el cálculo de la tercera parte, es decir, el número de
mujeres, se realiza dividiendo: 375________ . Hay _________ mujeres.
Si del total de menores del auditorio 3/5 son niñas, ¿cuántos niños hay? El total de niños y
niñas se obtiene restando__________ . Entonces, para obtener 1/5 de esta cantidad, se
divide_____________ . Así, para saber a cuánto equivalen 2/5 , se multiplica_________ .
Son____________ niños.
Answer:
Bsiwbf8s8duegwoaosl
Keoso0w2ksvuaowjdha7iqrhhhsusiwiwo9w
Iieieowwhwhwowleje
Which language is thir?
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to solve quadratic equation?8x² + 16x + 3 = 0
using Quadratic formula
The following steps are involved
\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)
\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)
\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)
\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)
\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)
\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)
\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
\(x = -0.209431\)
or
\(x = -1.79057\)
Therefore, the steps peter could follow will give the result
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
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7.008,7.09,7.180 least to greatest
Answer:
7.008, 7.090, 7.180
Step-by-step explanation:
find the area of the following triangles. (answer rounded off to 2 dp)
Answer:
(a.) Area = 6.00 square units
(b.) Area = 15.59 square units
Step-by-step explanation:
(a.) The regular formula for the area of a triangle is A = 1/2bh, where
A is the area in square units,b is the base, and h is the height.In this triangle, the height is 3 units and the base is 4 units. Thus, we plug in 3 for h and 4 for b in the formula to find A, the area in square units:
A = 1/2(4)(3)
A = 2 * 3
A = 6
Thus, the area of the triangle is 6.00 square units.
(b.)
Before we can find the area of the triangle, we'll need to find the height. The altitude (a line extending from the vertice to the base of the triangle) is the height)Because this is an equilateral triangle with three congruent sides, the altitude splits the base into two congruent parts, whose lengths are 3 units since 3 + 3 = 6.The altitude is perpendicular to the base and creates a right triangle embedded in the larger triangle.Thus, we have a right triangle, where the altitude/height is one side, the 3-unit side is another side, and the 6-unit side is the hypotenuse.Now we can find the height of this embedded triangle using the Pythagorean theorem, which isa^2 + b^2 = c^2, where
a and b are the shorter sides called legs,and c is the longest side called the hypotenuse.Thus, we can plug in 3 for a and 6 for c, allowing us to solve for b, the height of the entire triangle:
3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
√(b^2) = √(27)
b = √(9 * 3)
b = 3√3 (leaving the answer in the simplest radical form will allow us to get a more exact answer when finding the area of the triangle.
Thus, the height of the triangle is 3√3 units.
Area of the triangle in (b.):
Now, we can plug in 6 for b and 3√3 for h in the triangle area formula to find A, the area of the triangle in square units:
A = 1/2(6)(3√3)
A = 3(3√3)
A = 9√3
A= 15.58845727
A = 15.59
Thus, the area of the triangle is about 15.59 square units.
I attached a picture that shows how the triangle in (b.) can be divided into two triangles.
help with part a ! - please see attachment
Answer:
(a) \(\displaystyle \int {\frac{\sec x \tan x}{1 + \sec x}} \, dx = \boxed{ \ln | 1 + \sec x | + C }\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]:
\(\displaystyle (u + v)' = u' + v'\)
Derivative Rule [Basic Power Rule]:
Integration
IntegralsIntegration Methods: U-Substitution and U-Solve
Step-by-step explanation:
Step 1: Define
Identify given.
\(\displaystyle \int {\frac{\sec x \tan x}{1 + \sec x}} \, dx\)
Step 2: Integrate Pt. 1
Identify variables for u-substitution/u-solve.
Set u:Step 3: Integrate Pt. 2
[Integral] Apply Integration Method [U-Solve]:∴ we have used substitution to find the indefinite integral.
---
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---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 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.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23
Answer:
-0.2
Step-by-step explanation:
pls give me brainliest if possible