Answer:
C
Step-by-step explanation:
he table shows the amount of money raised by each region. The four regions raised a total of $ ( 5 . 38 × 10 4 ) . Region Amount Raised ($) East 1 . 46 × 10 4 North 2 . 38 × 10 4 South 6 . 75 × 10 3 West ? How much did the West raise? Express the result in scientific notation.
Answer: 8.65*103
Step-by-step explanation:
Using scientific notation, it is found that the amount raised by the West, in dollars, is of:
[tex]8.65 \times 10^3[/tex]
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
Combined, the amount raised by the North, South and East is:
[tex]2.38 \times 10^4 + 6.75 \times 10^3 + 1.46 \times 10^4[/tex]
To add numbers, they need to have the same exponent, hence:
[tex]6.75 \times 10^3 = 0.675 \times 10^4[/tex]
To add the numbers, we add the bases and keep the exponents, hence:
[tex]2.38 \times 10^4 + 0.675 \times 10^4 + 1.46 \times 10^4 = 2.38 + 0.675 + 1.46 \times 10^4 = 4.515 \times 10^4[/tex]
The total amount is given in the problem, hence the amount raised by the West is:
[tex]5.38 \times 10^4 - 4.515 \times 10^4 = 0.865 \times 10^4 = 8.65 \times 10^3[/tex]
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Use synthetic division to evaluate f(x)=-x^2-8x+30 for x=-1 .
f(-1)=
The value of f(-1) is "37".
synthetic division:[tex]\to f(x)=-x^2-8x+30\\\\\to x=-1\\\\\to f(-1)=?[/tex]
[tex]\to f(x)=-x^2-8x+30\\\\\to f(-1)=-(-1)^2-8(-1)+30\\\\\to f(-1)=-1+8+30\\\\\to f(-1)= 7+30\\\\\to f(-1)= 37\\[/tex]
Therefore, the final answer is "37".
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writing equation line
Answer:
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^ ^
life Death
Giving brainliest & a thanks if you answer all of them
At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend?
To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?
If Mia buys that many packages of each item, what is her total cost? Show your work.
Answer:
the lowest amount mia can spend is $75
Step-by-step explanation:
3x12=36
12x3+15 this is for the noise makers
9 x 4= 36
15 x 4 = 60
60+15=75
she will spend 75 dollars on party suplies
PLSSS HELP WILL GIVE BRAINLIEST FOR FIRST CORRECT ANSWER!!!!!!!!!
If a fair die is rolled once, what is the probability of one
An odd number
A number greater than 2
A square number?
Answer:
A fair die has 6 sides.
There are 3 odd numbers on a fair die so the probability would be 3/6
There are 4 numbers greater than 2 on a fair die o the probability of that would be 4/6
There is only one number that will make it square and that is 4. So the probability would be 1/6
solve for x- 5(x+4)=30
Answer: x= -12.5
Step-by-step explanation:
Start with distributing-5(x+4) or you get
x-5x-20=30
Add x and -5x to get -4x
Thank you add 20 to each side and get
-4x = 50
Divide by -4 on each side to get x=-12.5
Answer:
x=-25/2 is the answer.
Step-by-step explanation:
Below are the steps for solving the equation:
Step 1: Simplify, combine like terms, and distribute:
x−5(x+4)=30
x+(−5)(x)+(−5)(4)=30
x+−5x+−20=30
(x+−5x)+(−20)=30
−4x+−20=30
−4x−20=30
Add 20 to each side:
−4x−20+20=30+20
−4x=50
Divide each side by -4:
-4x/-4=50/-4
x=-25/2, which is -12.5 as a decimal.
So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.
a-4 = -5*
(5 Points)
-9
O 20
O-1
-5/4
What is the direct distance between centerville and capital city round to the nearest kilometer
The direct distance between Centerville and Capital City round to the nearest kilometer is 1,336 kilometers.
The distances between Centerville, Springfield, and Capital City form a right triangle in geography.
The distance between Centerville and Springfield is 913 kilometers, and the distance between Springfield and Capital City is 976 kilometers.
Let x be the direct distance between Centerville and Capital City using the formula
By Pythagorean theorem, we get
913² + 976² = x²
833,569 + 952,576 = x²,
x² = 1786145
x = √1786145
x = 1336.46736
Hence, we get x = 1,336.46736 rounding to the nearest tenth is 1,336 kilometers.
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Three students failed their last test. If 12% of the class failed, how many students are in the class?
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
Answer:
25 students.
Step-by-step explanation:
12% is 3 students.
100% is the number of students in the class.
3 times 100 divided by 12 is 25.
So there are 25 students in the class.
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. What is the distance between Raou
house and the library?
miles
Answer:
1.7 miles
Step-by-step explanation:
Pythagoras' Theorem sets the relation between three sides of a right-angled triangle. The distance between Raoul's home and the library is 1.3 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. Therefore, the distance between the home and the library is the hypotenuse of the triangle formed.
AC² = AB² + BC²
AC² = 0.5² + 1.2²
AC = 1.3 miles
Hence, the distance between Raoul's home and the library is 1.3 miles.
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what is the value of x ?
The value of x in the shape is 111
How to determine the value of x?The shape is a heptagon
This is so because the shape has 7 sides
i.e. n = 7
The sum of angles in the shape is
Sum = 180(n - 2)
So, we have
Sum = 180(7 - 2)
Evaluate
Sum = 900
Also, the sum of angles in the shape is
Sum = x + 120 + 158 + 126 + 125 + 121 + 139
This gives
Sum = x + 789
So, we have
x + 789 = 900
Evaluate the like terms
x = 111
Hence, the value of x in the shape is 111
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If DF=61 and EF=18, find DE.
I am struggling with transformations,rotation on a cartesian plane,how do we do it?
Greetings from Brasil...
Translations
Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.
P(X; Y) → P'(X ± m; Y ± n)If the figure has 3 points (A, B and C), we would be left with:
A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)
A(X, Y) → A'(X ± m; Y ± n)
B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)
C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)
in our example - see attached figure - let
m = 4
n = - 1
(these values of m=4 and n=-1 were chosen by me arbitrarily)
A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)
B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)
--------------------------------------------------------------------------
Rotations
The expression (formula) for rotation will be:
P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)
Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then
P(X; Y) → P'(-Y; X)in our example - see attached figure
A(1; 2) → A''(-2; 1)
B(2; 3) → B''(-3; 2)
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brainly alert pls help ill give ya brainly pls i beg u helpp
Answer:5 Hours
Step-by-step explanation:
160/4 = 40 miles per hour
200/40 = 5
Answer:
8 hours
Step-by-step explanation:
there are 360 miles total because it already covered 160 and there are 200 left. 160 / 4 = 4 hours per 40 miles. 200 is 40 more miles than 160. This means that it is the 4 hours of 160 miles in that 200 + 4 more hours for 40 miles. Add them together and you get 8 hours.
Helppppppppppppp pleaseeeeeeee
Circle theorems. Please help me solve for x.
Brainliest, thanks, points and 5 stars for whoever gets this correct and has the right working out.
Please Do not reply if you don’t know the answer
Answer: x = 50°
Step-by-step explanation:
PLEASE HELP, PIC PROVIDED. Miguel has started running. He runs 1 mile the first week. His goal is to run 2 miles farther than his distance for the
previous week. What equation represents this scenario?
Is it the answer I chose?
Answer: A
Step-by-step explanation:
Miguel started running, and he runs 1 mile in the first week, then the equation will be y = 2x + 1. Hence, option A is correct.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
Miguel runs for 1 mile in the first week.
Then, his goal is to run 2 miles farther than his distance for the previous week.
Then the equation will be: y = 2x + 1
Here, y is the total distance and x is the number of miles.
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solve for x 7x + 18 > - 3
Answer:
If I'm correct, it's going to be x > -3
i really need help with this please!! i need it by 12:00 tonight
The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?
Answer:
3.5
Step-by-step explanation:
7/3= 3.5 or 3 1/2
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(8,7) & (4,5)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope you can use the slope equation:
[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]
Let's define the terms in the equation:
y2 = 5
y1 = 7
x2 = 4
x1 = 8
Now, let's put these into the equation and solve:
[tex]slope = \frac{5 - 7}{4 - 8} = -\frac{2}{4} = -\frac{1}{2}[/tex]
Therefore, the slope is -1/2.
I hope this helps!!
- Kay :)
Find x , the angle of depression from the top of a lighthouse that is 173 ft above water level to the waterline of a ship 1119 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
arc tan (angle) = 1,119 / 173
arc tan (angle) = 6.4682080925
angle = 81.212 Degrees
Step-by-step explanation:
What is the equation of the line that passes through the point (5,3) and has a slope of -4/5
The equation of the line that passes through the point (5,3) and has a slope of -4/5 is,
⇒ 4x + 5y = 35
Here,
The given point is (5, 3) and slope is -4/5.
We have to find the equation of the line that passes through the point (5,3) and has a slope of -4/5.
What is Equation of line?
The equation of the line that passes through the point (a, b) and has a slope of m is;
⇒y - a = m (x - b)
Now,
The given point is (5, 3) and slope is -4/5.
Hence, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is;
y - 3 = -4/5 (x - 5)
5 (y - 3) = -4 (x - 5)
5y - 15 = -4x + 20
4x + 5y = 20 + 15
4x + 5y = 35
Therefore, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is
⇒ 4x + 5y = 35.
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i need help pls i really need this
Answer:
B. (-5,7) → (-11,3)
T. (0,0) → (-7,2)
F. (0,2) → (5,-2)
A. (4,6) → (1,-3)
L. (-4,-4) → (-8,-2)
Step-by-step explanation:
B. -5 - 6 = -11
7 - 4 = 3
T. 0 - 7 = -7
0 + 2 = 2
F. 0 + 5 = 5
2 - 4 = -2
A. 4 - 3 = 1
6 - 9 = -4
L. -4 - 4 = -8
-4 + 2 = -2
s(x)=-x+1
t(x)=-x²-1
find the value of t(s(2))
Answer:
t(s(2)) where s(x) = -x + 1, t(x) = -x^2 - 1 = -2
Step-by-step explanation:
what is 6775355 x 686878756 in math
Answer:
4.6538474e+15
Step-by-step explanation:
Write a segment addition problem using three points that asks the student to solve for x but has a solution x=20
A segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.
How to Apply the Segment Addition Postulate?Assuming point E is located between points D and F on a straight line, points D, E, and F are collinear, and based on the segment addition postulate, we have the equation that is true:
DE + EF = DF.
Let's assume that we have the following lengths:
DE = 2x
EF = 3x
DF = 100
Therefore, we would have the following:
2x + 3x = 100
5x = 100
5x/5 = 100/5
x = 20.
Therefore, a segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.
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I need help with this question please
When would the product of the denominators and the least common denominator of the denominators be the same?
Answer:
Example 1:
Find the common denominator of the fractions.
16 and 38
We need to find the least common multiple of 6 and 8 . One way to do this is to list the multiples:
6,12,18,24−−,30,36,42,48,...8,16,24−−,32,40,48,...
The first number that occurs in both lists is 24 , so 24 is the LCM. So we use this as our common denominator.
Listing multiples is impractical for large numbers. Another way to find the LCM of two numbers is to divide their product by their greatest common factor ( GCF ).
Example 2:
Find the common denominator of the fractions.
512 and 215
The greatest common factor of 12 and 15 is 3 .
So, to find the least common multiple, divide the product by 3 .
12⋅153=3 ⋅ 4 ⋅ 153=60
If you can find a least common denominator, then you can rewrite the problem using equivalent fractions that have like denominators, so they are easy to add or subtract.
Example 3:
Add.
512+215
In the previous example, we found that the least common denominator was 60 .
Write each fraction as an equivalent fraction with the denominator 60 . To do this, we multiply both the numerator and denominator of the first fraction by 5 , and the numerator and denominator of the second fraction by 4 . (This is the same as multiplying by 1=55=44 , so it doesn't change the value.)
512=512⋅55=2560215=215⋅44=860
512+215=2560+860 =3360
Note that this method may not always give the result in lowest terms. In this case, we have to simplify.
=1130
The same idea can be used when there are variables in the fractions—that is, to add or subtract rational expressions .
Example 4:
Subtract.
12a−13b
The two expressions 2a and 3b have no common factors, so their least common multiple is simply their product: 2a⋅3b=6ab .
Rewrite the two fractions with 6ab in the denominator.
12a⋅3b3b=3b6ab13b⋅2a2a=2a6ab
Subtract.
12a−13b=3b6ab−2a6ab =3b − 2a6ab
Example 5:
Subtract.
x16−38x
16 and 8x have a common factor of 8 . So, to find the least common multiple, divide the product by 8 .
16⋅8x8=16x
The LCM is 16x . So, multiply the first expression by 1 in the form xx , and multiply the second expression by 1 in the form 22 .
x16⋅xx=x216x38x⋅22=616x
Subtract.
x16−38x=x216x−616x =x2 − 616x\
The Nut House sells peanuts for $6.75 per pound and cashews for $9.50 per pound. On Saturday, they sold 32 pounds more peanuts than cashews. The total sales for both types of nuts was $1,012.25. Write and solve an equation to find the number of peanuts sold. Round your answer to the nearest whole pound.
Answer:
81 pounds
Step-by-step explanation:
Given that:
Peanut per pound = $6.75
Cashew per pound = $9.50
Let
Number of cashews sold = x
Number of peanuts sold = x + 32
Total sales made = $1,012.25
(Number of caahew sold * cost of cahew) + (Number of peanut sold * cost of peanut) = total sales made
(x * 9.50) + [(x + 32) * 6.75)] = 1012.25
9.50x + 6.75x + 216 = 1012.25
16.25x = 796.25
x = 796.25 / 16.25
x = 49
Number of peanuts sold = x + 32 = 49 + 32 = 81
What is the common differenice for this arithmetic sequence?
-6, -2, 2, 6, 10,...
a. 3
b. 5
c. 6
d. 4
Answer:
The answer is D.
Step-by-step explanation:
The difference between each term is 4.
-2 - (-6) = 4
2 - (-2) = 4
6 - 2 = 4
10 - 6 = 4
d. 4
here, -2-(-6)= -2+6=4
2-(-2)= 2+2=4
6- 2 = 4
10-6 = 4
so the common difference of them is 4.