Answer:
2,785
Step-by-step explanation:
You need to add 2,684+74 and will equal 2,785... Yor welcome
The required number of the joy is 2758.
Given that,
Joy is thinking of a number.
She says, "My number is 74 more than 2 thousand, 6 hundred, 8 tens, and 4 ones."
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
The number is 74 more than 2 thousand, 6 hundred, 8 tens, and 4 ones
x = 74 + 2684
x = 2758
Thus, the required number of joy is 2758.
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Please help and explain I’m very confused thank you
Answer:
31° = x
Step-by-step explanation:
According to the Supplementary Angles Theorem, 123° and that acute angle right up against it, form a straight angle, so you do this:
[tex] - 123 + 180 = 57[/tex]
Now that the second angle measure is found, according to the Triangular Interior Angles Theorem, the sum of the interior angles of all triangles add up to 180°:
180° = 57° + 92° + x°
|________|
180° = 149° + x°
-149° - 149°
________________
31° = x
I am joyous to assist you anytime.
Given that y=3(4x - 3)+5, find the value of x when y=-2.
Answer:
x=-2
Step-by-step explanation:
Distribute the 3 with the parenthesis to make the new equation -2=12x-9+5.
Combine like terms. -2=12x-4.
Move -4 to other side. -6=12x.
Divide by -6. x=-2
7. A city has a population of 2,549,786 people.
Estimate this population to the nearest million.
Express your answer as the product of a single
digit and a power of 10.
Rounded to the nearest million, the population
is about
Written as the product of a single digit and
a power of ten, this number is
x 10
Answer:
1) [tex]2,549,786\ people \approx3,000,000\ people[/tex]
2) [tex]3*10^6[/tex]
Step-by-step explanation:
1) To round a number to the nearest million, you must look at the digit located in the hundred thousands place. If this is greater than or equal to 5 you must round up, and if this is less than 5, you must round down.
In this case you know that the city has a population of [tex]2,549,786\ people[/tex].
You can notice that the digit located in the hundred thousands place is 5, therefore, you must round up:
[tex]2,549,786\ people \approx3,000,000\ people[/tex]
2) Scientific notation has the following form:
[tex]a*10^n[/tex]
Where "a" must be a number from 1 to 10 but not including 10 and "n" must be an integer.
To express [tex]3,000,000[/tex] in Scientific notation, the decimal point must be moved 6 places to the left; therefore, the exponent will be positive.
Then:
[tex]=3*10^6[/tex]
On a number line, the square root of two falls between which two consecutive integers
Look at the unit circle shown below.
Which statement is TRUE? A The x-coordinate of P corresponds to cosθ , which has a period of 2π . B The x-coordinate of P corresponds to cosθ , which has a period of π . C The y-coordinate of P corresponds to cosθ , which has a period of 2π . D The y-coordinate of P corresponds to cosθ , which has a period of π .
Answer:
A is true.
Step-by-step explanation:
Cos θ = adjacent / hypotenuse = x/1 = x.
Cosθ has a period pf 2π.
Answer:
The correct option is A.
Step-by-step explanation:
Draw a perpendicular form point P on x-axis.
Radius of unit circle is 1 . It means in triangle OPA
Hypotenuse = OP = 1 units
Adjacent= OA = x
Perpendicular = PA = y
In a circle angled triangle,
[tex]\cos \theta = \frac{adjacent}{hypotenuse}[/tex]
In triangle OPA,
[tex]\cos \theta = \frac{x}{1}[/tex]
[tex]\cos \theta =x[/tex]
The x-coordinate of P corresponds to cosθ.
The period of a unit circle is 2π.
Therefore, the correct option is A.
263 grams dental stone powder
80 milliliters of water
If you use 70 grams of stone, how many milliliters of water are needed?
Answer:
21.29 milliliters
Step-by-step explanation:
First find how much water is need for 1 gram of stone by dividing both numbers by 263. Then multiplying both numbers by 70.
Grams : Milliliters
263 80
1 : 0.3042 (Rounded to 4 decimal places)
70 : 21.29 (Rounded to 2 decimal places)
The amount of water needed when using 70 grams of dental stone powder is approximately 21.29 milliliters. This is based on the ratio of stone powder to water in the original mixture.
Explanation:The question is asking for the calculation of the amount of water needed if 70 grams of dental stone powder is used. This can be resolved by determining the ratio of water to dental stone powder in the initial mixture, and then applying this ratio to the lesser quantity of 70 grams. In the original mixture, there are 263 grams of dental stone powder to 80 milliliters of water which simplifies to approximately 1 gram to 0.3042 milliliters of water. Therefore, if you use 70 grams of stone powder, you multiply 70 grams by 0.3042 milliliters/g, which equates to approximately 21.29 milliliters of water.
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Evaluate B^2for B=9.
Answer:
81
Step-by-step explanation:
since b is 9
do 9x9 which is 81
Graph the rational function. F(x)=x^2+4x+4/x^3+5x^2
Answer:
[tex]F(x)=\frac{x^2+4x+4}{x^3+5x^2}[/tex]
Step-by-step explanation:
Graph the rational function.
Your grades on four exams are 78, 85, 97, and 92
What grade do you need on the next exam to have an
average of 90 on the five exams?
Let g = grade needed
(78 + 85 + 92 + 97 + g)/5 = 90
Solve for g.
Is 4x-3=2x+13 a true statement?
Answer:
It is ture.
4x-3=2x+13
2x-3=13
2x=16
x=8
Help find the distance between two points?
Answer:
4
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = ([tex]\frac{\sqrt{6} }{2}[/tex], [tex]\frac{\sqrt{58} }{2}[/tex] )
AB = [tex]\sqrt{((\frac{\sqrt{6} }{2})^2 }[/tex] + [tex]\{(\frac{\sqrt{58} }{2})^2 }[/tex]
= [tex]\sqrt{\frac{6}{4} }[/tex] + [tex]\frac{58}{4}[/tex]
= [tex]\sqrt{\frac{64}{4} }[/tex]
= [tex]\sqrt{16}[/tex]
= 4
The local pharmacy has a coupon for two-in-one shampoo and conditioner. The original cost of one bottle is $6.99, and the coupon is for $1.75
off. How much does one bottle cost when the coupon is applied?
$6.99
$5.24
$5.00
$1.75
Answer:
5.24
Step-by-step explanation:
6.99-1.75 is 5.24.
Answer:
$5.24
Step-by-step explanation:
[tex]\begin{array}{rcr}\text{Original cost} & = & 6.99\\\text{Less coupon} & = & -1.75\\\text{Net cost} & = & \mathbf{5.24}\\\end{array}[/tex]
Help with number 1 plz
Yes, it will! It will be the same because of the Commutative property. Hope this gives you your whole answer!
1. The scatterplot below shows the fuel efficiency (in
miles per gallon) and weight (in pounds) of
twenty subcompact cars.
91
3000
(a) Is there a clear explanatory variable and
response variable in this setting? If so, tell
which is which. If not, explain why not.
Car weight
(b) Does the scatterplot show a positive association, negative association, or neither? Explain why this
makes sense.
(c) How would you describe the form of the relationship?
(d) Which of the following is closest to the correlation between car weight and fuel efficiency for these
20 vehicles? Explain.
r=-0.9
r=-0.6
r=0 r=0.4
(e) There is one "unusual point" on the graph. Explain what is "unusual" about this car.
(
What effect would removing the “unusual point” have on the correlation? Justify your answer.
(g) If we converted the car weights to metric tons (1 metric ton -2,205 pounds). How would the
correlation change? Explain.
The explanatory variable is the car's weight, with fuel efficiency as the response variable; a likely negative association may exist, possibly linear or non-linear; a correlation like r=-0.9 or r=-0.6 is plausible; an 'unusual point' could be an outlier affecting the correlation; removing it might strengthen or weaken the correlation; converting weights to metric tons wouldn't alter the correlation.
(a) In this context, the explanatory variable is the car's weight (in pounds) and the fuel efficiency (in miles per gallon) is the response variable. This is because we are typically interested in determining the effect of a car's weight on its fuel efficiency.
(b) Based on the context, a scatterplot might show a negative association between the car's weight and its fuel efficiency. This would make sense as heavier cars often require more fuel to operate efficiently, leading to lower miles per gallon.
(c) The form of the relationship between car weight and fuel efficiency can vary. For instance, it could be linear (indicating a constant rate of change) or non-linear (indicating a rate of change that varies with weight).
(d) Without viewing the scatterplot it's not possible to definitively answer this, but based on the proposed negative relationship, a correlation of r=-0.9 or r=-0.6 would be plausible. Correlations range from -1 to 1, and a negative sign indicates an inverse relationship.
(e) An 'unusual point’ could be an outlier on the scatterplot that doesn't model the relationship between car weight and fuel efficiency like the rest of the data. This could be due to factors unique to this car, such as a highly efficient engine that gets more miles per gallon despite its weight
(f) Depending on the unique characteristics of the 'unusual point', its removal could either increase or decrease the correlation. If this point were causing the correlation to be weaker, its removal would cause the correlation to strengthen, and vice-versa.
(g) Converting the car weights to metric tons wouldn't change the correlation between weight and fuel efficiency. Correlation is unitless and depends only on the relationship between variables, not the scale they're measured on. Thus, while the specific values for weight would change, the strength, direction, and form of the relationship between weight and fuel efficiency would remain the same.
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Classify each number below as an integer or not.
Answer:
1. yes
2. no
3. yes
4. no
5. yes
Step-by-step explanation:
The method i use is if the number is not a fraction than it is an integer. besides 6 for some reason.
Here is the catch if the fraction can be simplified into a whole number than it is an integer.
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
Answer:
Roots are complex numbers
Step-by-step explanation:
we know that
In a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex]
The discriminant is equal to [tex]b^{2} -4ac[/tex]
If [tex]b^{2} -4ac=0[/tex] -----> The equation has only one real root
If [tex]b^{2} -4ac>0[/tex] -----> The equation has two real roots
If [tex]b^{2} -4ac<0[/tex] -----> The equation has complex roots
In this problem the discriminant is -8
so
-8 < 0
therefore
Roots are complex numbers
Answer:
A) There are two complex roots
Step-by-step explanation:
took the test
The hypotenuse of a right triangle is 17. The lengths of the two legs are whole numbers. What are they?
Answer:
The legs would be 15 & 8
Step-by-step explanation:
According to the Pythagorean theorem:
17² = a² + b²
289 = a² + b²
289 = 225 + 64
289 = 15² + 8²
The lengths of the two legs are 15 and 8.
find the coordinates of the midpoint of the segment with the given endpoints. Y(-13,8) and Z (2,-10)
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ Y(\stackrel{x_1}{-13}~,~\stackrel{y_1}{8})\qquad Z(\stackrel{x_2}{2}~,~\stackrel{y_2}{-10}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{2-13}{2}~~,~~\cfrac{-10+8}{2} \right)\implies \left( \cfrac{-11}{2}~,~\cfrac{-2}{2} \right)\implies \left(-5\frac{1}{2}~,~-1 \right)[/tex]
are 5(8y - 8) and 40y - 40 equal?
Answer:
Step-by-step explanation:
5 * 8y = 40y
8 * 5 = 40
40y - 40 IS equal to 40y - 40
Answer: no they are not
Step-by-step explanation: since the expression is in the parentheses you have to distribute the 8 amount 5y and 8 basically multiply 8 by he two numbers inside the parentheses 8(5y-8)
40y-64 is not equal to 40y -40
A student has these scores on their assignments. The teacher is considering dropping a
lowest score.
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
a) What effect does eliminating the lowest value, 0, from the data set have on the mean
and median?
b) Would there be more of a significant change on the IQR or Standard Deviation?
Explain why.
The answers are shown below:
What is mean and median?The arithmetic mean of a given data is the sum of all observations divided by the number of observations. For example, a cricketer's scores in five ODI matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:
Mean = Sum of all observations/Number of observations
Mean = Sum of all observations/Number of observations
Mean = (12 + 34 + 45 + 50 + 24)/5
Mean = 165/5 = 33
The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.
For example, consider the data: 4, 4, 6, 3, 2. Let's arrange this data in ascending order: 2, 3, 4, 4, 6. There are 5 observations. Thus, median = middle value i.e. 4.
Given data:
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
a)Mean without '0' = 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/9
= 700/9
= 77.777
Median without '0' = 80
Mean with ' 0' = 0+ 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/10 = 70
Median with '0' = 80
b)standard deviation= 18.121673811445. (without '0')
standard deviation with 0 = 28.982753492379
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8x-4y=-12;x=-3,-1,1 do not know how to the assignment
Answer:
y= -3,1,5
Step-by-step explanation:
actually the question is what are the values of y when x = -3,-1,1
Answer: -1=-1 ,1=1
You just need to plug it in to the graph.
At the grand opening, every 8th customer received a free coffee mug, and every 12th customer received a free baseball cap. How many of the first 100 customers received both a mug and a cap?
8 people received a Baseball Cap
12 people received a Coffee Mug
Hope this helped!
Factor the following expression
10x^5+5x^3-14x^2-7-
Answer:
C. (5x^3-7)(2x^2+1)
Step-by-step explanation:
Given expression is,
10x^5+5x^3-14x^2-7
=10x^5-14x^2 + 5x^3 - 7 (By the commutative property)
=2x^2(5x^3-7)+5x^3-7 (Taking 2x^3 common from first two terms )
=(5x^3-7)(2x^2+1) (Taking 5x^3-7 common from both terms)
\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)
Hence, Option C is correct
Solve for C: S = C+RC
Answer:
factoring c is the best way to solve this
Step-by-step explanation:
S = C ( 1 + R )
C = S/( 1 + R )
The equation after solving is C = S / (1 + R).
To solve for C in the equation S = C + RC, we can factor out C on the right side:
S = C + RC
S = C(1 + R)
Then, we can divide both sides by (1 + R) to isolate C:
S / (1 + R) = C
Therefore, the solution is:
C = S / (1 + R)
For example, if S = 100 and R = 0.1, then C would be:
C = 100 / (1 + 0.1)
C = 100 / 1.1
C = 90.9090909090909
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Mary is n years old. What expression represents her age 5 years from now? 5 years ago?
Answer:
After 5 years : ( n + 5 ) years !
Before 5 years : ( n - 5 )
Step-by-step explanation:
Given the age of Mary is n years old
After 5 years , She must be 5 years more from now so,
Her age will be ( n + 5 ) years after 5 years from now !
Also, 5 years ago she must be 5 years less than from now ,
So, her age 5 years ago was ( n - 5 ) years !
To represent Mary's age 5 years from now, the expression 'n + 5' is used. To represent her age 5 years ago, the expression 'n - 5' is used.
Explanation:To represent Mary's age 5 years from now, we can use the expression n + 5. This is because we add 5 to her current age, represented by 'n', to find her age in the future.
To represent Mary's age 5 years ago, we can use the expression n - 5. This is because we subtract 5 from her current age, represented by 'n', to find her age in the past.
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If it is known that a+b/a−b =c, find the following.
3a+3b/2a−2b
Answer:
[tex]\frac{3}{2}[/tex] c
Step-by-step explanation:
Given
[tex]\frac{3a+3b}{2a-2b}[/tex] ← factor numerator and denominator
= [tex]\frac{3(a+b)}{2(a-b)}[/tex]
= [tex]\frac{3}{2}[/tex] × [tex]\frac{a+b}{a-b}[/tex] = [tex]\frac{3}{2}[/tex] c
The area of a rectangular rug is 18.7 Square yards the width of the rug is 2.75 yards Isabell found the length of the rug by dividing its area by its width what is the length in yards of the rug?
Thank you so much for helping me Have a blessed night/day!
what is 4127*28324
please anwser now
Answer:
116,893,148
Hope this helps :)
The product of 4127 and 28324 is 116884748.
To find the product of 4127 and 28324:
Write down the numbers vertically aligning the digits:
4127 x 28324
Multiply each digit of the second number by the entire first number, remembering to shift each subsequent multiplication one place to the left:
4127 × 4 = 16508
4127 × 2 = 8254 (shift one place to the left, becomes 82540)
4127 × 3 = 12381 (shift two places to the left, becomes 1238100)
4127 × 8 = 33016 (shift three places to the left, becomes 33016000)
4127 × 2 = 8254 (shift four places to the left, becomes 82540000)
Add all these partial products together:
16508 + 82540 +1238100 +33016000 +82540000
= 116884748
So, the product of 4127 and 28324 is 116884748.
2=2 x 7 -22=? too what
Answer:
0
Step-by-step explanation:
clearly this page is not in need of in answer it does not seem like a real equation you need help with.
The area of a square poster is 50 in.2. Find the length of one side of the poster to the neare
tenth of an inch.
The length of one side of the poster is in.
(Round to the nearest tenth as needed.)
Answer: (rounded) 7.1 inches.
For this problem, you have to find the square root of 50, since in a square all sides are equal. When you find the square root, you get 7.071067...., but rounded this would be 7.1 .
Answer:
the answer is sevenm point one
Step-by-step explanation: