Answer:
see below
Step-by-step explanation:
1) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].
[tex]3.4x*\frac{1}{10^{15} } +8.1*x*10^{-14}[/tex]
2) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].
[tex]3.4x*\frac{1}{10^{15} } +8.1*x*\frac{1}{10^{14} }[/tex]
3) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]
[tex]\frac{3.4x*1}{10^{15} }+8.1*x*\frac{1}{10^{14} }[/tex]
4) Simplify [tex]3.4x*1[/tex] to [tex](3.4)x[/tex].
[tex]\frac{3.4x}{10^{15} } +8.1*x*\frac{1}{10^{14} } }[/tex]
5) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]
[tex]\frac{3.4x}{10^{15} } +\frac{8.1*x*1}{10^{14} }[/tex]
6) Simplify [tex]8.1*x*1[/tex] to [tex]8.1(x)[/tex].
[tex]\frac{3.4x}{10^{15} } *\frac{8.1*x}{10^{14} }[/tex]
Need help with this question ASAP!
What is the length of CE?
Answer:
its 8
Step-by-step explanation:
Craig has a resçe ta zguires 3 cups of mik if i cup = 8 ounces, nou mary ounces of mik does Craig need?
A
34 ounces
B
28 ounces
c
24 ounces
D
12 ounces
C2022
Please help :)
extra wordds
pls help asap. math 6th grade.
An
Step-by-step explanation
6) The product of 2.5 and a number is 10.
• First, write an equation to describe the situation.
2.5
C
2.5
-
10
i will give 100 points
Answer:
y-intercept = (0, 8)
x-intercepts = (4, 0) and (-2, 0)
vertex = (1, 9)
5th point = (2, 8)
Step-by-step explanation:
As the coefficient of x² is negative, the curve will be "n" shaped.
y-intercept
crosses the y-axis when x = 0
substitute x = 0 into the function and solve for y:
[tex]\implies y=-(0)^2+(2 \times 0)+8=8[/tex]
Therefore, y-intercept = (0, 8)
x-intercept
crosses the x-axis when y = 0
set the function to zero and solve for x:
[tex]\implies -x^2+2x+8=0[/tex]
[tex]\implies x^2-2x-8=0[/tex]
[tex]\implies (x-4)(x+2)=0[/tex]
[tex]\implies x=4, x=-2[/tex]
Therefore, x-intercepts = (4, 0) and (-2, 0)
vertex
vertex form: [tex]y=a(x-h)^2 +k[/tex], where (h, k) is the vertex
expand vertex equation: [tex]y=ax^2 -2ahx+ah^2 +k[/tex]
compare coefficients with original function: [tex]y=-x^2+2x+8[/tex]
[tex]\implies a=-1, h=1, k=9[/tex]
So vertex = (1, 9)
5th plot point
You can choose any value of x and input it into the equation for y, but for symmetry, I have chosen to find the other value of x (aside x = 0) when y = 8
[tex]\implies -x^2+2x+8=8[/tex]
[tex]\implies -x^2+2x=0[/tex]
[tex]\implies x^2-2x=0[/tex]
[tex]\implies x(x-2)=0[/tex]
[tex]\implies x=0, x=2[/tex]
5th point = (2, 8)
A boat is heading towards a lighthouse, whose beacon-light is 117 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 3°. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest hundredth of a foot if necessary.
Step-by-step explanation:
this should help in case you don't understand feel free to contact me
Karen fills an aquarium to a depth of 25 meters in 4 minutes. What is the unit rate in minutes per meter? Write your answer in simplest form.
PLEASE HELLP NOW!!! no links plz
Answer: 0.16min/m
Step-by-step explanation:
The depth of the aquarium is 25 meters
Time is take for water to reach the bottom = 4 minutes per 25 meters
= 4/25 min/m
= 0.16 min/m
A rectangle has length 14 cm and width 4cm what is the area of a square that has the same perimeter as the rectangle?
DUE IN 5 MIN!!!!! I GIVE BRAINLIEST!!!!!!! AND I GIVE POINTS IF U WANT!!!!!
Answer:
Given in the attachmentStep-by-step explanation:
Hope this helps ^^"
Answer:
81 cm²
Step-by-step explanation:
Start by finding the perimeter of a rectangle.
[tex]Perimeter = 2(l+w)[/tex]
Plug in the given values into the equation:
[tex]Perimeter=2(14+4)=2(18)=36\ cm[/tex]
Since the perimeter of a square is:
[tex]Perimeter = 4s[/tex]
We can plug 36 cm in for the perimeter to solve for s
[tex]36\ cm=4s[/tex]
Divide both sides by 4
[tex]s=9\ cm[/tex]
The area of a square is:
[tex]Area=s^2[/tex]
Plug in the 9 cm for s
[tex]Area=9^2=81 \ cm^2[/tex]
Yesterday, Grace drove 35 1/2
miles. She used 1 1/4
gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
35 1/2 Miles divied by 1 1/4=28.4 gallons
Step-by-step explanation:
Randy was paid $50 for his first night in the restaurant where he works as a cashier. he worked the rest of the week for $6.50 per hour. the equation, y = 6.50x + 50, represents the amount he made that week. What are the ordered pairs for the equation when you use these x-values: 10 and 20
Step-by-step explanation:
so, we first put 10 in for x :
y = 6.50×10 + 50 = 65 + 50 = $115
and then we put 20 in for x :
y = 6.50×20 + 50 = 130 + 50 = $180
so, the ordered pairs are
(10, 115) and (20, 180)
To celebrate the first day of school, Emma brought in a tray of caramel brownies and walnut brownies. The tray had a total of 30 brownies, of which 90% were caramel. How many caramel brownies did Emma bring?
Answer:
90/100×30=27
27 caramel brownies
Which statement is sufficient evidence that DEF is congruent to ABC?
what is the measure of ∠C?
Answer:
Measure C, the Sacramento Community Stabilization and Fair Rent Charter Amendment is on the November ballot for the city of Sacramento after a lengthy court battle. The measure is written to supersede the Sacramento Tenant Protection Act, which was passed in 2019. Here are the results for Measure C as they come in:
Step-by-step explanation:
Graph: y – 3 = } (x + 2)
Answer:x2 355b. Hhgguyuy
Step-by-step explanation:
PLEASE HELP GIVING BRAINLIEST IN LESS THEN 20 MINS
Answer:
Attached is the table.
Step-by-step explanation:
Hope this helps!
Find Please explain, it’s a bit hard for me to understand
Isosceles triangle: It has two angles that have the same measure, i.e. the angle opposite the side of the same length
ΔXYA
∠Y=180° - (65+65) = 50°
ΔAYZ
∠Y=(180°-62°):2 = 59°
so ∠XYZ = 50°+59°=109°
please help me im stuck all the info is in the screenshot
Answer:
ok so the sale ticket cost 54 so we want to find what the regurler one cost so lets just make a algreva equation
0.9x=54
divide by 0.9
54 divide by 0.9=60
so a regurer ticket cost 60
54=0.9r
Hope This Helps!!!
a bicycle shop is offering a 15% discount on a bike that has an original price of 275. there is an additional 5% discount off the sale price. what is the final price of the bike, including both discounts?
Step-by-step explanation:
• the original price= 275,
275 → 100 %
i) find the price with the 15 % discount
100% - 15% = 85 %
if, 275 → 100 %
100 % → 275
1% → 275 / 100
85 % → (275/100) * 85
= 233. 75
ii) find the add. 5% of the :
sale price = 233. 75
add. discount = 5%
= 5/ 100 * 233.75
= 11.6875
iii) subract the 5% discount from the sale price.
final price = 233. 75 - 11.6875
= 222. 0625
hope this helps you!
-s.
( PLEASE HURRY, WILL GIVE BRAINLIEST IF CORRECT )
LMNP is rotated 180° clockwise about the origin
What are the coordinates of M’?
o A. M’(4, -3)
o B. M’(3, -4)
o C. M’(-3, -4)
o D. M’(-4, 3)
Answer:
the answer is c, (-3,-4)
Step-by-step explanation:
the rule for a 180 degree rotation is: (x,y) ---> (-x,-y)
Hope this helps! :)
PLEASE HELP ME: the ratio of cars to trucks on a highway at any given time is 12 to 8. If there are always more than 105 cars on the highway, what is the minimum number of cars that can be on the highway?
Answer:
70
Step-by-step explanation:
First, set up the ratio of c:t, which is 12:8. Then set up your new ratio of c:t, which is 105:?. The way I find the easiest is to divide 105 by 12, which is 8.75, then multiply that by 8, which is 70. To check if it's right, just divide 12 by 8, and 105 by 70, and if they're the same number, you've got it right.
Ps. I'm guessing you meant to ask the minimum number of trucks, not cars.
A cupcake stand has 64 cupcakes the available flavors are lemon carrot and caramel if five eights of them are caramel and lemon how many carrot cupcakes are there pls help
Answer:
24
Step-by-step explanation:
64 * (5/8) = 40 lemon and caramel
64- 40 = 24 carrot cupcakes
can someone please help me?
Answer:
a = -18 s = -36
Step-by-step explanation:
Simple Math
(5 + y)(–3)
help me please
The value of the given expression is -15 - 3y
What is the value of the expression?In maths, when there are terms in the bracket, it means we are to multiply the terms in the brackets by each other. This means that 5 + y would be multiplied by -3.
Multiplication is the process of determining the product of a set of numbers.
(5 + y)(–3) = -15 - 3y
To learn more about multiplication, please check: https://brainly.com/question/1114498
The initial cost to rent a bike is $5. Each hour the bike is rented costs $1.75. is going to rent a bike and can spend at most $10.25. Write and solve an inequality to find how long she can rent the bike.
Answer:
1.75h + 5 ≤ 10.25
number of hours she can rent is a maximum of 3
Step-by-step explanation:
h = hours bike is rented
1.75h + 5 ≤ 10.25
subtract 5 from each side:
1.75h ≤ 5.25
divide each side by 1.75:
h ≤ 3
Value of expression a (a2 + a +1) + 5 for a = 0 is ___________
Answer:
5
Step-by-step explanation:
0(0×2 + 0 + 1) + 5
0(0+0+1)+5
0 + 0 + 0 +5
= 5
Find the distance between the two points
(4, 2) and (8,8)
Answer:
Exact Form:
2[tex]\sqrt[/tex]13
Decimal Form:
7.21
-----------------
Have a great day! :D
find the value of a, AB, BC, CD, AD in the parallelogram.
Step-by-step explanation:
opp sides are equal and parallel
a = 21
ab = 23.9
cd = 23.9
ad given in figure
Answer the question given the following functions,
f (x) = -2x + 5
g(x) = 7x – 11
-
h(x) = = -42 – 13
What is the value of g (8)?
Type your answer...
Answer:
g(8) = 45
Step-by-step explanation:
substitute x = 8 into g(x) , that is
g(8) = 7(8) - 11 = 56 - 11 = 45
please help me solve the problem
Answer:
x = 130°
y = 50°
Step-by-step explanation:
x = 130° (Exterior alternate angles)
x + y = 180° (Angles in linear pair)
y = 180° - x
y = 180°- 130°
y = 50°
The solution to the problem in the figure attached in the question is: x = 130°, y = 50°
What are alternate angles?Alternate angles are angles that are formed in a situation whereby a line intersects two other lines, which lie on opposite sides of a transverse line and on contrasting proximate sides of the other lines.
From the given figure:
Angle x is an alternate angle to angle 130°.
Thus, x = 130°
Using the sum of angles on a straight line:
x + y = 180°
130° + y = 180°
y = 180° - 130°
y = 50°
Learn more about alternate angles here:
https://brainly.com/question/26167358