How do I write the number 17,497,403 well i know how to do it inside standard but my equation says “Write the number Seventeen million, four hundred ninety-seven thousand, four hundred three in standard form and expanded form using multiplication. And I don’t know how to do that
Answers
Step-by-step explanation:
Standard form is of course 17,497,403.
Expanded form is:
10,000,000 + 7,000,000 + 400,000 + 90,000 + 7,000 + 400 + 3
Related Questions
one year, a school USES 11.470 pieces of white paper, 3,970 fewer pieces of blue paper than white paper, and 3,200 fewer pieces of yellow paper than blue paper. How many pieces of paper does the school use in all? €
Answers
Answer:
the answer is 7,184.47
Step-by-step explanation:
In a BUS 190 class, 30% of students follow football games, and 40% like baseball games, and 50% of students who follow football, also follow baseball. We select a student at random. Answer the next two questions. 0 / 2.5 pts Question 1 If this student follows baseball, what is the probability that they follow football as well? Answered 37.75% ect Answer 37.5%
Answers
To answer the first question, we need to use conditional probability. We are given that 40% of students like baseball games and 50% of students who follow football also follow baseball.
Let's define the events:
A: Student follows football.
B: Student follows baseball.
We need to find the probability of event A (student follows football) given that event B (student follows baseball) has occurred, denoted as P(A|B).
Using conditional probability formula:
P(A|B) = P(A ∩ B) / P(B)
We know P(B) = 40% = 0.40 (given)
And we know P(A ∩ B) = P(B) * P(A|B) = 0.40 * 0.50 = 0.20
Now we can calculate P(A|B):
P(A|B) = P(A ∩ B) / P(B) = 0.20 / 0.40 = 0.50 = 50%
Therefore, the probability that a student who follows baseball also follows football is 50%, not 37.5% or 37.75% as mentioned in the answer options.
Please note that the given answer options are incorrect, and the correct answer is 50%.
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\A cone is inverted and filled with water to 3/4 of its height. What percent of the cone's volume is filled with water
Answers
Water fills the cone to a capacity of 75%. 0.75 is the decimal equivalent of 75%.
How the Percentage is calculated?Find the whole amount of what you're looking for to get a percentage of.
To calculate the percentage, divide the number.
Add 100 to the value.
A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, 35% is equal to the fraction 0.35 or the decimal 0.35.
The value of the number out of 100 is the proportion of the number. For instance, there are 26 females and 24 boys in a class. As a result, 52 out of 100 students in the class are females, or 52% of the class.
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Percentages.
According to our question-
volume of water = (3/4) * (1/3)(a)(h)
volume of water = (3/4) * volume of cone
volume of water = 75% of the volume of cone
75% of the cone's volume is filled with water.
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Consider the following vector field.
F(x, y, z) =
9ex sin(y), 2ey sin(z), 8ez
sin(x)
(a)
Find the curl of the vector field.
curl(F) =
(b)
Find the divergence of the vector field.
div(F) =
Answers
The curl of the vector field
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
The divergence of the vector field
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.
(a) Curl of F:
The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, we have:
P(x, y, z) = 9ex sin(y)
Q(x, y, z) = 2ey sin(z)
R(x, y, z) = 8ez sin(x)
Taking the partial derivatives, we get:
∂P/∂y = 9ex cos(y)
∂Q/∂z = 2ey cos(z)
∂R/∂x = 8ez cos(x)
∂R/∂y = 0 (no y-dependence in R)
∂Q/∂x = 0 (no x-dependence in Q)
∂P/∂z = 0 (no z-dependence in P)
Substituting these values into the curl formula, we have:
curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k
= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
Therefore, the curl of the vector field F is given by:
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
(b) Divergence of F:
The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z
In this case, we have:
∂P/∂x = 9e^x sin(y)
∂Q/∂y = 2e^y sin(z)
∂R/∂z = 8e^z
Substituting these values into the divergence formula, we have:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
Therefore, the divergence of the vector field F is given by:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
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Let D be the region enclosed by the two paraboloids z = 3x² + y2/2 and z = 16 - x² - y²/2. Then the projection of D on the xy-plane is:
Answers
The projection of D on the xy-plane is 4x² + y² = 32
How to determine the projectionTo determine the projection of the region D on the xy-plane, let us first find the boundaries of D in the z-direction.
Now, equate the expression of the two paraboloids, we have;
3x² + y²/2 = 16 - x² - y²/2
collect the like terms, we have;
3x² + x² + 2y² - y² = 32
add or subtract the like terms
4x² + y² = 32
This is an equation representing the elliptical cylinder centered at the origin with a major axis(x-axis) and a minor axis( y-axis)
But, we have that D is enclosed between the two paraboloids, the projection on the xy-plane will be the region enclosed by the ellipse 4x² + y² = 32
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Find the solution for −0.4x − 4.15 = x − 1.6 − 2.97.
x = −3.3
x = 3.3
x = −0.3
x = 0.3
Answers
Answer:
x=0.3
Step-by-step explanation:
-0.4x-4.15=x-1.6-2.97
-0.4x-x=-(1.6-2.97)+4.15
-1.4x=0.42
x=0.3
Answer:
x=0.3
Step-by-step explanation:
a restaurant offers 7 appetizers, 10 entrees, and 5 desserts. how many ways are there to order a meal consisting of 1 appetizer, no entrees, and 3 different desserts?
Answers
Total possibilities is 350. It can be said that 350 ways are there to order a meal consisting of 1 appetizer, no entrees, and 3 different desserts.
What is meant by Combinations?Combinations: A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
The fundamental guideline for combinations is that,
If you have n things and you have to select r things, the number of selections is represented by ⁿCr and
ⁿCr=n!/(n−r)!(r!)
All I have to do in your question is to select.
one appetizer out of seven and no main dish out of ten main courses and three dessert out of five.
What must be done now is take each individual choice from the three situations, then multiply them.
One thing to keep in mind is that and signifies "multiply" and or "add." (For instance, we would have provided the choices if you had requested to chose either one main meal or one dessert.)
For 1, the choices are:
⁷C₁= 35
Selections = 2 for 2.
¹⁰C₀= 1
For 3., the choices are:
⁵C₃= 10
Potentials in total =⁷C₁×¹⁰C₀×⁵C₃= 35×1×10=350.It can be said that 350 ways are there to order a meal consisting of 1 appetizer, no entrees, and 3 different desserts.
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Create a linear equation for the following table and graph
Answers
Answer:
y = 1.4m + 7.4
Step-by-step explanation:
There are 24 students in Ms. Smyth's fourth-grade class. There are 6
times as many fourth-grade students in the school as in Ms. Smyth's
class. What is the total number of fourth-grade students in the school?
Answers
The total number of fourth-grade students in the school is 144
What is the total number of fourth-grade students in the school?From the question, we have the following parameters that can be used in our computation:
There are 24 students in Ms. Smyth's fourth-grade class. There are 6 times as many fourth-grade students in the school as in Ms. Smyth's classThis means that
Fourth-grade students = 6 * Ms. Smyth's fourth-grade class.
Substitute the known values in the above equation, so, we have the following representation
Fourth-grade students = 6 * 24
Evaluate
Fourth-grade students = 144
Hence, the total number of students is 144
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De las ventas obtenidas en el mes de enero , el dueño de " La chiquita " tiene la obligación de entregar el 16 % de IVA . Si en un mes se vendieron en la tienda $80,000 ¿ Cuánto tendrá que reportar de IVA al gobierno ?
Answers
Answer:
The amount paid as VAT is $ 12800.
Step-by-step explanation:
Sales = $ 80,000
VAT = 16 %
The amount of VAT paid to the government is
= 16 % of $ 80,000
= 0.16 x $ 80,000
= $ 12800
The amount paid as VAT is $ 12800.
–5x+2 - 4; Prove: x = 6
Answers
Answer:
Step-by-step explanation:
-5x+2-4 if x =6
-5(6)+2-4
-30+2-4
-30-2
-32
1. Simplify the expression.
(-4x + 15) + (2x – 4)
Answers
Answer:
-2x+11
Step-by-step explanation:
:)))
Answer:
-2x+11
Step-by-step explanation:
plz find the value of x (i never paid attention on this!)
2x + 6
Answers
Answer:
2(x+3)
Step-by-step explanation:
hope i help you :)
Answer:
X=3
Step-by-step explanation:
3 times 2 is 6.
Of the 300 students at Central Middle School, 20% are on the honor roll.
How many students are NOT on the honor roll?
Answers
Explanation:
For this problem, we know that there are 300 students at this school so we can say that is 100%. Since we know 20% are on the honor roll, then (100% - 20% = )80% are not. Given this, we can say the following:
#ofStudentsNotOnHonorRoll = #ofStudents * %notOnHonorRoll
= 300 * 80%
= 300 * .8
= 240
Hope this helps.
Cheers
Mary is making 5 necklaces for her friends, and she needs 11/12 of a foot of string for each necklace. How many feet of string does she need
Answers
Answer: Approx 4.6
Step-by-step explanation:
5 necklaces, each 11/12 feet
(5*11)/12
55/12
Helppppppppppp
31. The students are selling wrapping paper to raise money. Each roll of paper rolle for 5%,
Part A
Write m expression that represents the total amount of money, in dollars, the students raise
from selling x rolls of wrapping paper
Part B.
The goal of the students was to raise $600. They sold 6% rolls of paper. By what amount did
the students miss their goal of raising 5600? Show or explain all of your work
Answers
Answer:
So The Answer would be 600=1.05x and 600=1.06x for part A and B
Step-by-step explanation:
For Part B If there goal is to raise 600$ then 5% of 600$ = 30$ per roll of wrapping paper;
Part A: 600= 1.05x
The expression 1.05 represents the 5% increase for X wrapping paper sold to the equivalent of 600$
For end of the Question Im unsure what they mean they "missed there goal of raising 5600?.. 5600$ or 560.0$?"
I don't know the answer...
Answers
Answer: the number's I used were 30, 20, 40
1. 2n-1=39 = 2(20)-1=39 = 40-1=39
2. 2n-60=20 = 2(40)-60=20 = 80-60=20
3. 2n-20=40 = 2(30)-10=40 = 60-20=40
Solve this 2-step Equation
5=4a-7
Answers
Answer:
a=3
Step-by-step explanation:
5=4a-7
add 7 on both sides
5+7=4a(-7+7)
12=4a
Now divide 4 on both sides
a= 3
PLEASE GIVE BRAINLISET
Tina worked 5 1/3 hours on Saturday and 6 1/4 hours on Sunday. How many total hours did she work these two days?
Answers
Answer:
11 7/12
Step-by-step explanation:
5 1/3 + 6 1/4 = 11 7/12
A history teacher is writing a test worth 100 points. She uses multiple-choice questions worth 6 points
each and true/false questions worth 2 points each. She wants the test to have three times as many
multiple-choice questions as true/false questions. Let m represent the number of multiple-choice
questions on the test, and let t represent the number of true/talse questions. Which system of
equations can be used to find how many each type of question she should write?
6m + 2t = 100
m=t+3
6m + 2t = 100
m = 3t
3m+t=100
m=31
6m + 2t = 100
t = 3m
Answers
Answer:6m + 2t= 100
t=3m
Step-by-step explanation:
please help its a proof question look at the image
given triangle ABC, prove CE=1/2 BD
Answers
use this formula and solve the question
AREA OF BASE = 1 by 2 ×base × Height
What is the length of AB?
Answers
answer: 6
step-by-step explanation:
hihi so the triangle in that picture is a isosceles triangle, you can tell from the angles, theyre both 63 degrees, meaning the two sides are equal.
first set up your equation and then solve
3x = 4x -2
-x = -2
x = 2
plug it in for AB
3(2) = 6
AB = 6
so your answer would be b !!
hope this helps !!!!
A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a Apply the central limit theorem to describe the sampling distribution of the sample mean with » = 40. What condition is necessary to apply the central limit theorem?
Answers
The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To apply the Central Limit Theorem, the following condition is necessary:
1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).
In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.
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I need help with this question the answers are in the picture
Answers
Answer:
1:1
Step-by-step explanation:
The ratio from the initial figure PQ: QR is 1:1 because the figure is a square.
The ratio of P'Q': Q'R' is still 1:1 because even if we dilated the figure we actually compare the sides P'Q' to Q'R' that had the proportions preserve.
write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13
Answers
The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.
The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.
Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.
1. y = x² + 8x + 18
To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.
The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2
. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.
The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.
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92, 63, 22, 80, 63, 71, 44, 35
Mean:? Median:? Mode:? Range:?
Answers
Answer:
92
−
22
=
70
.
70
Step-by-step explanation:
subtract and add
The mean is 58.75 . The median is 63. The mode is also 63 . And the range is 70
Why is the number 39 odd?
Answers
Answer:
Because when 39 is divided by 2 it has a decimal.
Step-by-step explanation:
39 ÷ 2 = 19.5
Step-by-step explanation:
because it doesn't divide by 2, any number that doesn't divide by 2 is a odd number, and any nr that doesn't leave a remainder and divides by 2 is even
Find X and Y on both 11 and 12. Please show or explain how you got it
Answers
The variables, x and y in the interior angles of the triangle can be found writing linear equations using the angle relationship theorems as follows;
11. x = 18, y = 5
12. x = 17, y = 9
How can the values of x and y be found from the given expressions?11. The given corresponding angles, (7•x - 23) and the sum of 49 and 3•x are equal, which gives;
7•x - 23 = 49 + 3•x
7•x - 3•x = 4•x = 49 + 23 = 72
x = 72/4 = 18
x = 18Similarly, we have;
3•x = 11•y - 1
Which gives;
3 × 18 = 11 × y - 1
54 = 11•y - 1
11•y = 54 + 1 = 55
y = 55/11 = 5
y = 512. 3•x - 4 = 5•x - 38 (alternate interior angles theorem)
Which gives;
3•x - 4 = 5•x - 38
5•x - 3•x = 38 - 4 = 34
2•x = 34
x = 34/2 = 17
x = 177•y - 20 + 5•x - 38 = 90° (complimentary angles in a right triangle)
Which gives;
7•y - 20 + 5×17 - 38 = 90°
7•y + 27 = 90
7•y = 63
y = 63/7 = 9
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yo fellows i need help plz and ty
Answers
Answer:
150 cm
Step-by-step explanation:
The ratio of the entire door is 84:210 which is 2/5 so
60 is 2/5 of the length of the window
double 60 which is 120 which is 4/5
then half 60 which is 30
then add 120+30= 150 which is 5/5
150 cm
Another method is doing the bottom 60:84 which is 5/7
210/7= 30 so every 1/7 is 30
30*5= 150
150 cm
Answer:
150
Step-by-step explanation:
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answers
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
\(tan(28)=\frac{x}{39} \\x=39tan(28)\)
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
\(sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\\)
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
\(tan(47)=\frac{x}{18} \\x=18tan(47)\)
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
\(cos^{-1}(\frac{7}{18tan(47)} )= y\)
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.