Answer:
x= -7
Step-by-step explanation:
hope this helps you!
The value of x in the expressed scientific notation is;
x = -7
We are given the number 0.000000675.
Now, when writing decimals like this, it means a number has been divided by an exponent of 10.
For example; 0.01 is 1/100.
This means we start counting from the the decimal point of the whole number we want to use to the left. The number of counts we make till the end will be the exponent of 10.
Now, in our question, counting to the left from between 6 and 7 gives us 7.
Thus; we have;
6.75/10⁷
But in our question, multiplication is used and not division.
Thus, we have;
6.75 × 1/10⁷
⇒ 6.75 × 10⁻⁷
Comparing with the question gives;
x = -7
Read more at; https://brainly.com/question/16964754
Anna is working at a fast food restaurant and made $45.00 for 6 hours. Allison is working at a retail store and made $50.75 for 7 hours. If both girls worked for 10 hours, which girl would make more money and how much would she make?
Step-by-step explanation:
Step one:
given data
Anna
made $45.00 for 6 hours
for 1 hour she will make
=45/6
=$7.5
for 10 hours she will make
=$75
Allison
made $50.75 for 7 hours
for 1 hour she will make
=50.75/7
=$7.25
for 10 hours she will make
=$72.5
Anna will make more, she will make $75
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
1. Change the equation to slope intercept form. Identify the slope and y- intercept of the equation. Be sure to show all your work.
2x + 3y= 1470
2x + 3y -2 = 1470 subtract 2x from both sides
3y= 1470 -2x simplify
3y/3= 1470/3 -2x/3 divide both sides by 3
y= -2/3x +490 simplify
-⅔ is the slope and 490 is the y- intercept
2. Describe how you would graph this line using the slope- intercept method. Be sure to write in full sentences.
Start at 490 on the y axis. After that you would use rise over run, down 2 units and right three. Do this until you reach the end of the graph, then go oppisite; up 2 left 3
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
I CANNOT figure out how to make the equation into notation form. Can someone please help?
Answer:
y = x^4-6
y=1/ x-2
Step-by-step explanation:
hope this helps
Jesse practices the trumpet for a total of 165 minutes during the first week of school. He practices for 245 minutes during the second week. A. Estimate the total amount of time Jesse practices by rounding to the nearest 10 minutes.
Answer:
410 minutes
Step-by-step explanation:
Given that:
Time for which Jesse practices trumpet in the first week = 165 minutes
Time for which Jesse practices trumpet in the second week = 245 minutes
To find:
The total amount of time rounded to the nearest 10 minutes.
Solution:
To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.
Therefore, total time taken = 165 + 245 = 410 minutes
It is already rounded off to the nearest 10 minutes.
Therefore, the answer is:
Total amount of time for which Jesse practices = 410 minutes
The distance from Annandale, Virginia to New York City, NY is approximately 410 kilometers (km). Find the distance in miles. SHOW WORK!
I NEED HELP PLEASE ANYONEEEEEE
First, find the converting ratio for kilometers to miles, which is
1km = 1.61 miles.
Then, divide 410 on the side for miles on the ratio.
410km=254.67miles
Therefore, 410 km is equal to 254.67 miles.
write a two-step equation that can be solved using the addition property of equality and the division property of equality.
Answer:
8x-14=26
Step-by-step explanation:
To solve this equation you first have to add 14 to both sides to cancel the -14 from the left side. Then you have to divide both sides by 8 to cancel out the 8 in front of the x and to get x alone. Then you have your answer. The answer to 8x-14=26 is x=5.
1 , 3 , 6 , 10 , 15
1) What is the nth term of the sequence?
2) Use the nth term to work out the 21st term of the sequence.
First difference,
[tex]\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1[/tex]
Second difference,
[tex]\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1[/tex]
Third difference,
[tex]\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1[/tex]
And so on.
Assuming the pattern holds on, we see that
i-th difference,
[tex]\Delta_{i} = a_{i + 1} - a_{i} = i + 1[/tex]
[tex]\implies a_{i + 1} = a_{i} + i + 1[/tex]
Then, nth term is,
[tex]\implies a_{n} = a_{n - 1} + n[/tex]
[tex]= a_{n - 2}+ (n + (n - 1))[/tex]
[tex]= a_{n - 3} + (n + (n - 1) +(n - 2))[/tex]
[tex]= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)[/tex]
[tex]= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k[/tex]
[tex]= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]
[tex]= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]
[tex]= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))[/tex]
[tex]= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)[/tex]
[tex]= a_1 + \frac{1}{2} (n -1 )(n + 2)[/tex]
[tex]\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)[/tex]
Now, the 21st term in the sequence is,
[tex]\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)[/tex]
[tex]= 1 + \frac{1}{2} \times 20 \times 23[/tex]
[tex]= 231[/tex]
In science class, Mrs. Moore's students were directed to weigh a 300-gram mass on the balance scale. Tina weighed
the object and reported 328 grams.
Answer: 9 1/3%
Step-by-step explanation:
Can anyone please answer these? Who ever answers correctly will be marked brainliest.
1. Find the absolute value of |8 + y| when y = 2
2. Find the absolute value of |-8 + y| when y = -2
3. Simplify: 4 + |x + 2| when x = -5
Answer:
1. x = ±3
2. x = 13 over 5
3. –4x + 7
Answer:
1)10
2)10
3) 7
Step-by-step explanation:
Modulus means we always take the positive value for example
|-3| = +3
1) Find the absolute value of |8 + y| when y = 2
[tex]|8+2| \\|10|\\10[/tex]
2) Find the absolute value of |-8 + y| when y = -2
[tex]|-8+(-2)|\\|-8-2|\\|-10|\\10[/tex]
3) Simplify 4 + |x + 2| when x = -5
[tex]4 + |x + 2|\\4+|-5+2|\\4+|-3|\\4+3\\7[/tex]
can you please help me i’m confused
Answer:
D
Step-by-step explanation:
A pair similar to 3 red to 1 blue is 6 red to 2 blue. Since there are already 4 red and 2 blues, then you just add 2 reds. Hope that helps!
Answer:
D. 2 red, 0 blue
Step-by-step explanation:
You already have 4 red, 2 blue. If you add 2 red, 0 blue, you have 6 red, 2 blue. If you divide both amounts by 2, (6 divided by 2, 2 divided by 2) you get 3 red, 1 blue.
Hope this helps!
pls pls help !!!
If f(x) = 9 - 2|x + 2|, find f(-7).
-15
-1
1
19
The answer is -1
(AKA the second option)
A.112
B.136
C.56
D.34
Answer:
B
Step-by-step explanation:
Hope this help
Sarah and Jack are selling popcorn and cotton candy at the State Fair. Sarah sold 3 bags of
popcorn and 9 sticks of cotton candy for a total of $75. Jack sold 8 bags of popcorn and 5
sticks of cotton candy for a total of $67. Which is cost of the popcorn?
plz do plz do it all i wil give brainlest and thanks to best answer thank u
Answer:
17.) D
18.) A
Step-by-step explanation:
length x width x height
sec 16° cosec 74° - cot 74° tan 16°
Answer:
1.
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
= 1/ cos 16 * 1/ sin 74 - 1/tan 74 * tan16
= 1/ cos16 sin 74 - cos74/ sin74 * sin 16 / cos 16
Now cos 16 = sin 74 and sin 16 = cos 74 (supplementary angles) so:
= 1 / cos^2 16 - sin 16/cos 16 * sin 16 / cos 16
=( 1 - sin ^2 16 )/ cos^2 16
= cos^2 16 / cos^2 16
= 1.
A recipe calls for 13/4 cups of flour. If the recipe is tripled, how much flour is needed?
Answer:
39/4 or 9 and 3/4
Step-by-step explanation:
multiply the numerator by 3 over 1
xoxo, your highness...John can create 20 pantings in 4 weeks how many paintings can he create each week?
Answer:
5 paintings a week
Step-by-step explanation:
20 pantings :D Can i get brainliest please
Solve 8x − 2(x + 1) = 7x + 8. (5 points) Question 3 options: 1) 6 2) −6 3) 10 4) −10
Answer:
3.) 10
Step-by-step explanation:
8x-2(x+1) = 7x+8
8x-2x-1=7x+8
6x-1=7x+8
-1=1x+8
+1 +1
1x+9
/x
x=1+9
x=10
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a) 67
b) x= -8 and 4
c) 31
Step-by-step explanation:
a) if m<1 = (6x - 5) and m<5 = (5x+7), find m<3.
6x - 5 = 5x + 7
-5x + 5 - 5x + 5
x = 12
6(12) - 5 = 5(12) + 7
72 - 5 = 60 + 7
67 = 67
b) if m<4 = 32 and m<8 = (x^2 - 4x), find x.
32 = x^2 - 4x
- 32 - 32
x^2 - 4x - 32
(x - 8)(x + 4)
x - 8 = 0 x + 4 = 0
+ 8 + 8 - 4 - 4
x = -8 and 4
c) if m<4 = (4x - 17) and m<5 = (5x - 29), find m<1.
4x - 17 = 5x - 29
-5x + 17 -5x + 17
-x = -12
/-1 /-1
x = 12
4(12) - 17 = 5(12) - 29
48 - 17 = 60 - 29
31 = 31
PLEASE HELP!!
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles
Answer:
Step-by-step explanation:
Supplementary angles are two or more angles whose the addition of their measures add up to [tex]180^{o}[/tex].
Given: <1 and <2.
<1 + <2 = [tex]180^{o}[/tex] (supplementary angles)
If <1 ≅ <2 (congruent property), then we have;
<1 + <1 = [tex]180^{o}[/tex]
2<1 = [tex]180^{o}[/tex]
<1 = [tex]\frac{180}{2}[/tex]
= [tex]90^{o}[/tex]
<1 = [tex]90^{o}[/tex]
So that since <1 and <2 are congruent, then;
<1 ≅ <2 ≅ [tex]90^{o}[/tex]
Therefore if <1 and <2 are supplementary and congruent, then they are right angles.
What is the average of Jim's bowling games if he bowled a 195, 202 and 116?
513
171
202
128.25
Answer:
183
Step-by-step explanation:
sorry im a bit slow could somebody help please
Answer:
The numerator is the number on top of the bottom number (denominator)
m=rise/run
m=?
b=?
equation:?
Please help
Much appreciated
Answer: First one, 25x^2y^22
Step-by-step explanation:
if you multiply y^5*2 you get y^10 and x^2
that makes x^2y^10
then, if you multiply y^3*4 you get y^12
so you have to add the y s that makes x^2y^22
What is the volume of the regular pyramid below?
OA. 108 units3
OB. 648 units3
Oc. 144 units3
OD. 216 units
Answer:
D. 216
Step-by-step explanation:
What I did was I multiply 9x9x8 and got 648. I then divide 648 by 3 and got 216. I would appreciate it if you can mark this the brainliest if you can.
The volume of the regular pyramid is V = 216 units³
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the volume of the pyramid be represented as V
Now , the equation will be
Let the height of the pyramid be H = 8 units
Let the side length of the pyramid a = 9 units
Now , Volume of Pyramid = ( 1/3 )a²H
On simplifying , we get
The volume of pyramid V = ( 1/3 ) ( 9 )² ( 8 )
The volume of pyramid V = ( 27 ) ( 8 )
The volume of pyramid V = 216 units³
Hence , the volume of the pyramid is 216 units³
To learn more about volume of pyramid click :
https://brainly.com/question/17615619
#SPJ7
28.What is the slope of the line 2x + 5y = 15?
A. 2
B. -2
C.2/5
D.- 2/5
Answer:
it's -2/5 !
Step-by-step explanation:
The sum of two natural numbers is 72 and the difference is 28. Let x
represent the greater number and y represent the smaller number. Find the
values of x and y.
Answer:
x= 50 y=22
Step-by-step explanation:
50 + 22=72
50-22=28
y is less than x
What is equivalent to the quotient of 10 plus x and y minus 3
Answer:
So answer is [tex]\frac{10+x}{y-3}[/tex]
Step-by-step explanation:
We are given with quotient of 10 plus x and y minus 3.
So, we can write 10 plus x as 10+x and y-3
So, quotient of 10+x and y-3 is [tex]\frac{10+x}{y-3}[/tex]
A whale descends 382.5 feet in 45 seconds. What operation can be used to find the average elevation change of the whale during its descent, in feet per second.
Answer:
8.5 FPS
Step-by-step explanation:
What is the solution of the system of equations below? Solve for x and y
4x+9y=14
4x+5y=6
Answer:
y = 2
Step-by-step explanation:
(4x+9y)-(4x+5y) = 14-6
4x-4x+9y-5y = 8
4y = 8
y = 2
Hope this helped!
Which equation gives the number of 1/4 centimetre that are in 7/8 centimetres
Answer:
2/8
Step-by-step explanation: