1) 4<7
×7 ×7
28<49
×6 ×6
168<294
×3 ×3
504<882
×10 ×10
5040<8820
2) 11>-2
+5 +5
16> 3
+3 +3
19>6
+-4 +-4
15>2
3) -4<-2
-6 -6
-10<-8
-8 -8
-18<-16
-2 -2
-20<-18
4) -8<8
÷-4 ÷-4
2<-2
÷-2 ÷-2
-1< 1
5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.
Hope this helped you- have a good day bro cya)
The rectangular frame is made from 5 straight pieces of metal.
6 m
8 m
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.
Step-by-step explanation:
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
=√100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
The correct answer is 57kg.
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
What is the weight formula?The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.
To obtain the weight of your metal, you will multiply the sectional area, length and density together. Then, to convert the weight to kilograms, you must divide the product by 1,000. You can also determine the weight of your metal product using any number of online metal weight calculators.
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Let f(x)=5x^4 and g(x)=e^2x+x. If h is the function defined by h(x)=f(g(x)), which of the following gives a correct expression for h′(x)?
The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
Given,
f(x)=5x^4 and g(x)=e^2x+x.
If h is the function defined by h(x)=f(g(x)),
We need to find h′(x).
What is the differentiation formula for the following?We have,
dx/dx = 1
d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]
d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]
d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]
d(cx)/dx = c(dx/dx) = c
We have,
- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)
- h(x)=f(g(x)) _______(3)
Now,
h(x) = f ( [tex]e^{2x}[/tex]+x )
From (1)
h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)
Now,
Differentiate (4)
h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx
h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx
h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )
h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 )
Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
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how to use union in the real world?
Answer:
To overcome such type of real world problems we use union. Unlike structures union occupies single memory location to store all its members. So, unions are helpful when you want to store value in single member from a set of members. Size of union is defined according to size of largest member data type.
Step-by-step explanation:
In union, all members share the same memory location. For example in the following C program, both x and y share the same location. If we change x, we can see the changes being reflected in y. #include <stdio.h> // Declaration of union is same as structures.
plZ help...................
Answer:
B
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] + 4 = 1 ( subtract 4 from both sides )
[tex]\frac{x}{5}[/tex] = - 3 ( multiply both sides by 5 to clear the fraction )
x = 5 × - 3 = - 15 → B
30. You can work at most 25 hours next week. You need to earn at least $85 to cover your gas and food
expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour.
a) Define your variables.
b) Write two inequalities that represent the constraints of the scenario.
Questions linked below
Answer:
The blur of the photo I do not understand sorry
Step-by-step explanation:
ty for the points
If a student (represented by initials) was chosen at random, find P(HH|C').
P(HH|C') = 3/5
P(HH|C') = 1/2
P(HH|C') = 2/5
P(HH|C') = 9/16
Answer: the answer is P(HHlC') = 1/2
Step-by-step explanation:
Question 20
Figure A is doubled in size then reflected across the x-axis creating Figure B.
How will the coordinates of Figure B differ from Figure A as a result of this series of transformations?
А
two times the x-value and two times the opposite y-value
B the opposite x-value and two times the y-value
С
two times the x-value and two times y-value
D
two times the opposite x-value and the opposite y-value
Answer:
Two-times the x-value and two-times the opposite y-value.
pythagorean theorem help meeeeee!!
Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
A farmer owns a total of 8 acres of land. The land is separated into (3)1/3 equally sized sections. How many acres are in each section?
Write your answer as a mixed number in simplest form.
Answer:
each section is 2 2/3 or 2.66666666
Step-by-step explanation:
Answer these questions pls
1. The constant in the equation is always zero.
Proportional or Non-proportional
2. Y=2x - 4
Proportional or Non-proportional
3.jimmy plans to save $20 every week
Proportional or Non-proportional
Answer:
1. Non-proportional
2. Proportional
3. Proportional
I need help with this
Answer:
Step-by-step explanation:
∠5 = ∠1 {Alternate exterior angles are congruent}
8x - 19 = 7x - 3
Add 19 to both sides
8x = 7x - 3 + 19
8x = 7x + 16
Subtract 7x from both sides
8x - 7x = 16
x = 16
∠5 = 8x - 19
= 8*16 - 19
= 128 - 19
∠5 = 109
∠5 + ∠4 = 180 {linear pair]
109 + ∠4 = 180
∠4 = 180 - 109
∠4 = 71°
PLEASE ANSWER THIS FAST!!!!!!!!!
If you paint all the walls in a room, how many square feet do you need to cover.
The east wall is 3 yds long
The South wall is 10 ft long but has a window that is a 5x3
The west wall is 3 yds long but has a door, 7x3
The north wall has a closet 6.5 ft wide and a small was that is 0.5 feet wide and extends 2 feet into the room.
PLEASE HELP
Answer:
Step-by-step explanation:
1. 300 square feet
What is the value of 2.3+8−12?
1.) 10.8
2.) 10.3
3.) 9.8
4.) 9.5
Answer:
2
Step-by-step explanation:
to answer this algebraic question use BDMAS rule
first solve bracket then division, multiplication,addition then subtraction.
6+8-12
14-12
2
Answer:
9.8
Step-by-step explanation:
convert your decimal into a fraction so 2.3= 23/10
23/10 + 8 - 1/2
then calculate your sum or difference
leaving you with
49/5
meaning your answer is
9.8
Hi can u help me with this
Answer:
it's D, 27
Anything in the middle would be both so just add only the yellow and red numbers, not orange
In the inequality 4>-4, which number appears farther right on a number
line and why?
O A. -4 appears farther right because -4 is smaller than 4.
O B. -4 appears farther right because - 4 is larger than 4.
C. 4 appears farther right because 4 is larger than -4.
D. 4 appears farther right because 4 is smaller than -4.
PLEASE HELP ASAP!! THIS IS ONE OF MY FINAL TEST… AKA- ITS MOST OF MY GRADE
Answer:
"C" 4 appears farther right because 4 is larger than -4.
v=t+s+u, for the letter u please and thank you
Answer:
u = v - s - tStep-by-step explanation:
V=t+s+u, for the letter u please and thank you
v = t + s + u
u = v - s - t
ggle is saying the wrong answer, anyone can help??
Answer:
X=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
I am pretty good at math.
Name two triangles that are congruent by the ASA Postulate.
ATC=DOG
ATC=NFI
PQR=INF
PQR=IFN
Answer:
ATC is congruent to DOG by ASA axiom for congruency
Answer: ATC = DOG
Step-by-step explanation:
Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8
Answer: See below
Step-by-step explanation:
A. 2.1 No (2.1>2)
B. -1 Yes
C. 0 Yes
D. -7.5 No (-7.5<-7)
E. 3.5 No (3.5>2)
F. -6.4 Yes
G. -8 No (-8<-7)
Factorise; c cubed divided by c cubed?
HELP ASAP
Step-by-step explanation:
c³/c³ =1 .
hope this helps you.
Each letter of L I T T R E L L is written on a card. The cards are placed in a basket. Find each probability if Elsa selects a card, leaves it out, and then selects another card.
7. Is this an independent or dependent event? Explain: ______________________________ _____________________________________ _____________________________________
8. What is the probability of selecting a T and then an E?
9. What is the probability of selecting a T, and then another T?
10. P(E, then I)?
Step-by-step explanation:
7. I believe it's independent because it makes sense and if it was dependent it wouldn't make senses.
8.For T you have 2 (Ts) so that give you a 2/8= 25% so you would basically make those Ts disappear and focus on 1 out of 6 and you'd get a 16.67% chance
9. 14.2857%
10. I don't understand ;-; am I suppose to multiply or see the chance if % it would get
I'm sorry;-;
PLEASE HELP
Absolute Value Inequalities
Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yesterday?
Answer:
That would be 4.0
Step-by-step explanation:
if you have 4.2 take away 0.2 that would be 4.0
4.2
0.2
-__
4.0
Hope this helped regards
Someone help :(( thank youuuu so much if u do
Answer:
-10
Step-by-step explanation:
The equation would be -8 - (-10) = 2. When subtracting a negative, you are actually just adding a positive. It's like the two negative signs cancel each other out, so it would look more like -8 + 10 = 2. For the answer box, just put -10.
Alicia had 418tons of fertilizer spread evenly across 216acres of land. How many tons of fertilizer are on each acre?
Answer:i know hwere you live
Step-by-step explanation:
you are in 7th grade aaand live in houston texas
solve for x on both
1. -1-3x+7x=17
2. 4x-5+7x=-10
(please show your work if possible:)
Step-by-step explanation:
1. -3x+7x=18
x(-3+7)=18
x=[tex]\frac{18}{(-3+7)}[/tex]
2. 4x+7x=-5
x(4+7)=-5
x=[tex]\frac{-5}{(4+7)}[/tex]
I hope this helped, may be wrong but ive done it my way
HELP ASAP 100 POINTS!!
Is this graph a function?
This cannot be determined from this graph.
This is a function.
This is not a function.
Answer:
Sorry but.
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
I WILL GIVE BRAINLESS) Math Journal Write a word problem that involves a proportional relationship and needs more than one step to solve. Show how to solve the problem. 1
Answer:
565.48 sq. in.
Step-by-step explanation:
Given the Slant height and radius, we are asked to find the lateral area of the cone.
Lateral area of the cone is given by
where, 'r' is the radius of the cone.
and 'l' is its slant height.
From the figure, we see that the slant height of the cone, l = 15 in
Also, the radius of the cone, r = 12 in.
Therefore,
= 565. 48 sq. in. which is the required answer.
Answer:
A proportional relationship is written as:
y = k*x
where k is the constant of proportionality.
A general word problem that represents one of these relationships can be:
If each burger costs $1.50, what would be the cost of buying x burgers?
The cost of x burgers will be x times $1.50, so if we define y as the total price, we will have the relation:
y = $1.50*x
Which is a proportional relationship where the constant of proportionality is $1,50
14. A customer's cell phone bill cost $60.50. The company charges a monthly fee of $28 plus
five cents for each minute. Create and solve an equation for the number of minutes the
customer spent talking on the phone. Let m represent the number of minutes.
your work is not complete