Answer:
-5<2-h or 6h+5<71
-7<-h or 6h<66
7>h or h<11
h<7 or h<11
Step-by-step explanation:
The inequality that represents the solution of the given set -
- 5 < 2 - h or 6h + 5 < 71 is h < 11.
What is inequality in mathematics?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given are the following inequalities -
- 5 < 2 - h or 6h + 5 < 71
We will solve the given inequalities one by one -
Inequality - 1
- 5 < 2 - h
Subtract 2 from both sides -
- 7 < - h
Multiply by -1 on both sides -
h < 7
Inequality - 2
6h + 5 < 71
Subtract 5 from both sides -
6h < 66
Divide by 6 on both sides -
h < 11
Now, h can be either -
h < 11 or h < 7
We can write it as a single inequality as -
h < 11 [this set of numbers will include all numbers less than 7]
Therefore, the inequality that represents the solution of the given set -
- 5 < 2 - h or 6h + 5 < 71 is h < 11.
To solve more questions on Inequalities, visit the link below-
brainly.com/question/14875221
#SPJ2
Five more than Bob’s age is 23. How old is Bob? equation
Answer:
18 Years OldStep-by-step explanation:
23 - 5 = 18 Years Old
Hope this helps! <3
Answer:
18 yeara old
Step-by-step explanation:
let Bob's age be 'x'
5 more than Bob's age means
5+x ...is 23
Therefore, 5+x=23
x= 23-5
18
Bob is 18 years old.
Hope it helped.
Which sets of angles listed are complementary in this diagram?
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
From the given figure we need to identify the complementary angles.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
By complementary angles concept:
From the figure, ∠AEG+∠CEG=90°
∠AEF+∠FED=90°
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
To learn more about the complementary angles visit:
https://brainly.com/question/15592900.
#SPJ5
Graph. f(x) = |2x+2| - 1
Answer:
I included the graph for you, hope this helps!
Step-by-step explanation:
(-26) + (+6) - (-67)do u guys know the answer?
Answer:
47
Step-by-step explanation:
Simplify the following:
-26 + 6 - -67
Hint: | Multiply -1 and -67 together.
-(-67) = 67:
-26 + 6 + 67
Hint: | Evaluate 6 + 67 using long addition.
| 1 |
| 6 | 7
+ | | 6
| 7 | 3:
73 - 26
Hint: | Subtract 26 from 73.
| 6 | 13
| 7 | 3
- | 2 | 6
| 4 | 7:
Answer: 47
Subtract -2x^2+4x-1−2x
2
+4x−1minus, 2, x, squared, plus, 4, x, minus, 1 from 6x^2+3x-96x
2
+3x−96, x, squared, plus, 3, x, minus, 9.
Your answer should be a polynomial in standard form.
Answer:
8x²- x -8
Step-by-step explanation:
The question is not well written. I guess what you mean is:
Subtract -2x^2+4x-1 ( minus 2x squared plus 4x minus 1) from 6x^2+3x-9 (6x squared plus 3x minus 9).
To subtract -2x^2+4x-1 from 6x^2+3x-9, that is
6x^2+3x-9 - (-2x^2+4x-1). This can be written as
6x²+3x-9 - (-2x²+4x-1)
Now, opening the bracket, we will get
6x²+3x-9 +2x²-4x+1
Then, collecting like terms, we get
6x²+2x²+3x-4x-9+1
6x²+2x² = 8x²
3x-4x = -x
-9+1 = -8
∴6x²+2x²+3x-4x-9+1 becomes
8x²-x -8
The answer is 8x²-x -8.
Simplified form of the polynomial :
8x²- x -8
Given(correct form of question):
Subtract -2x²+4x-1 ( minus 2x squared plus 4x minus 1) from 6x²+3x-9 (6x squared plus 3x minus 9).
Now,
To subtract -2x²+4x-1 from 6x²+3x-9, that is
6x²+3x-9 - (-2x²+4x-1). This can be written as
6x²+3x-9 - (-2x²+4x-1)
Now, opening the bracket, we will get
6x²+3x-9 +2x²-4x+1
Then, collecting like terms, we get
6x²+2x²+3x-4x-9+1
6x²+2x² = 8x²
3x-4x = -x
-9+1 = -8
∴6x²+2x²+3x-4x-9+1 becomes 8x²-x -8
Thus,
The answer is 8x²-x -8.
Learn more about polynomials,
https://brainly.com/question/29182596
#SPJ6
a
4. © MP.4 Model with Math The veterinarian
has seen 47 dogs, 19 cats, 7 exotic birds, and
3 horses this week. Complete the bar diagram
and find the total number of animals seen by
the veterinarian this week.
Answer: 76
Step-by-step explanation:
47+3= 50
19+7=26
50+26=76
Where's the Bar Diagram?
Hope this Helps!
The point B (-2, 4) has been rotated by 270⁰ counter clock wise about the point (1, 3). Determine the coordinates for the point B’. 1.B' ( - 2, - 6) 2.B' ( - 2, 6) 3.B' ( 2, - 4) 4.B' ( 2, 6)
Answer:
The coordinates of the point B’ is (2,6)
Step-by-step explanation:
Let us have a case of rotation for 270 counterclockwise first;
So if we had;
(x,y) and we rotate 270 degrees about the origin, we will have (y , -x)
This is the case of the origin.
In cases where we are not rotating around the origin, say a point (a,b)
The result of the rotation will be;
(x,y) Turning to (y - b + a , a - x + b)
In the case of this question;
x = -2, y = 4
a = 1 , b = 3
Substituting these into the rotation equation, we have;
(4-3 + 1 , 1-(-2) + 3)
= (2 , 6)
So the coordinates of the point B’ is (2,6)
A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic force against one side of
the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s? for the
acceleration due to gravity. Recall that the mass density of water is 1000 kg/m²)
pg
XN
dy
х
3 m
m
Answer:
[tex]pg\int\limits^7_7(10-y)2\sqrt{7^2-y^2} \, dy[/tex]
*The last bound is negative 7
Then it equals 15085928 or 1.5E7
Step-by-step explanation:
[tex]x^2+y^2=7^2[/tex]
area = 2xdy
depth = (7+3)-y -> (10-y)
total force = [tex]pg\int\limits^7_7 {(10-y)2x} \, dy[/tex]
Substitute 2x from the first equation as x=[tex]\sqrt{7^2-y^2}[/tex]
total force = [tex]pg\int\limits^7_7 {(10-y)2\sqrt{49-y^2} } \, dy[/tex]
=pg1539.38
=(1,000)(9.8)(1539.38)=1.5E7 N
*Lower bound is -7, can't get the program to allow me to put it as a negative
The hydrostatic force against one side of the plate is an integral 1.5E7 N.
What is the equation of a circle at the origin?The general equation of a circle is [tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]. The coordinate is (0, 0) at the origin, so the equation will become [tex](x)^{2} +(y)^{2} = r^{2}[/tex].
[tex](x)^{2} +(y)^{2} = 7^{2}[/tex]
area of circular plate = 2xdy
depth = (7+3)-y = (10-y)
The total force = [tex]pg\int\limits^7_7[ {10-y} ]2xdy[/tex]
Substitute 2x from the first equation as x = [tex]\sqrt{7^{2} -y^{2} }[/tex][tex]pg\int\limits^7_7[ {10-y} ]\sqrt{49 -y^{2} }dy[/tex]
= pg 1539.38
= (1,000)(9.8)(1539.38)
= 1.5E7 N
Thus, The hydrostatic force against one side of the plate is an integral 1.5E7 N.
Learn more about total force;
https://brainly.com/question/14318827
The ages Edna, and Elsa are consecutive integers. The sum of their ages is 114. What are their ages?
Answer:
Edna = 56.5
Elsa = 57.5
Step-by-step explanation:
Represent Edna age with x; Elsa age will be x + 1
So,
[tex]x + x + 1 = 114[/tex]
[tex]2x + 1 = 114[/tex]
Make 2x the subject
[tex]2x = 114 - 1[/tex]
[tex]2x = 113[/tex]
Solve for x
[tex]x = 113/2[/tex]
[tex]x = 56.5[/tex]
Elsa age is calculated as thus;
[tex]Elsa = x + 1[/tex]
[tex]Elsa = 56.5 + 1[/tex]
[tex]Elsa = 57.5[/tex]
Please help with this easy fraction problem. <3
Answer:
107/56 miles further on Sunday
Step-by-step explanation:
biked 139/8 saturday
biked 135/7 sunday
which fraction is greater by finding a common denominato 107/56r
Least common Denominator of 7 and 8 is 56
139x 7/8 x 7= 973/56
135x8/7 x 8=1080/56
1080/56 - 973/56 = 107/56
Therefore he rode further on Sunday further by 107/56 miles
Solve for distance and solve for time
5. total time taken = 3hrs
speed = 30km/hr
total distance travelled = 30 * 3= 90km
6. total time taken = 1.5hrs = 1 1/2 hrs
speed = 70 miles/hr
distance travelled in 1/2 hrs = 1/2 * 70 = 35 miles
total distance travelled = 3/2 * 70 = 3 * 35 = 105 miles
Rest of the answer jen will help
Hope it helped u,
pls put thanks and mark as the brainliest
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor
Answer:
[tex]x^2+y^2=36100000[/tex]
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin [tex](0,0)[/tex].
Radius of the outer circle is
[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]
Equation of a circle
[tex](x-a)^2+(y-a)^2=r^2[/tex]
where
[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]
[tex]r=\text{Radius of the circle}[/tex]
Here the equation will be
[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]
The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]
DESPERATE HELP NEEDED!!!
MATHS!!!
WILL AWARD BRAINLIEST!!!
Answer:
a) 24
b) f^-1 = [tex]\sqrt{x+1}[/tex]
c) 3
Step-by-step explanation:
Just plug the numbers in for x:
(5)^2 -1 = 24
Switch x and y then solve for y and replace y with f^-1(x):
x = y^2 -1
sqrt(x +1) = y = f^-1(x)
Now plug in 8:
f^-1(x) = sqrt(8 +1) = 3
Which number sentence represents the Associative Property of Addition?
18 + 7 = 7 + 18
4 + (1 + 11) = (4 + 1) + 11
0 + 90 = 90
22 + 3 = 25
Answer:
18+7=7+18
Step-by-step explanation:
Put a check mark for each set the number is part of:
1.56432...
Natural
Whole
Integer
U
Rational
Irrational
Real
Answer:
Irrational Number
Step-by-step explanation:
Given
[tex]Number = 1.56432..[/tex]
Required
Determine which set of number it is
The given number is not a natural number, whole number and it is not an integer because it contains decimal point
The given number is not rational because it can not be expressed as a fraction of two whole numbers.
Hence:
The set of the number is irrational
Everglades National Park is 225 mi long. What scale is needed to draw a map of Everglades National Park that is 10 in. long?
A. 1 in. = 22.5 mi
B. 10 in. = 225 mi
C. 1 in. = 0.04 mi
D. 10 in. = 22.5 mi
Answer:
A. 1 in. = 22.5 mi
Step-by-step explanation:
Since 22.5 x 10 = 225, we can conclude that this will fit the scale needed. B. is incorrect because it is simply illogical in context with a scale and the question. C. is incorrect since 10 x 0.04 is 0.4, which does not equal 10. D. is incorrect since we need the scale to add up to equal 225 mi, not 22.5.
Hope this helps!
the answer to the universe, life, and everything
Answer:
my life hurts now
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
GET A BOOK U MORON
Solve each equation.
Show all steps
4) -8(-6-5k)=-232
the answer is k=4.6. hope this helps
There are 2 teachers for
24 students. If a school has
10 teachers, how many students?
Answer:
10 teachers= 120 students
Step-by-step explanation:
2 teachers= 24 students
divide 24 and 2 which 12
1 teacher= 12 students
multiply 10 and 12 which equals to 120
10 teachers= 120 students.
Pls mark as brainliest, thank u.
Loren spent $42.25 to fill her car with 13 gallons of gas. How much did Loren pay per gallon?
Answer: 3.25
Step-by-step explanation: What I did was Multiply 42.25 by 100 ( To make it easier) and then divide it by 13. After that, I divided the quotient by 100 to get the real answer, which was 3.25
Let me know if I was helpful or not!
Angelina received 2 discounts on $50. They were taken off one after the other. The first coupon was 20%. She paid $30 for shoes. What is the dollar amount taken off the first coupon.
Answer:
The dollar amount taken off is $10.
Step-by-step explanation:
I hope i helped.
ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n
2x+y=0
2x+y=6
x-2y=-10
x-2y=8
Answer:
y=-2x+b
-2=-8+b
6=b
y=-2x+6
so
2x+y=6
(9,0) (3,-4) slope??
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
formula: y2-y1/x2-x1
-4-0/3-9=
-4/-6=
2/3
Which of the following is not one of the Greek roots explored in this unit?
a. sin
C syn
b psyche
d. neuron
Please select the best answer from the choices provided
Answer:
Its A >_<Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(NEED HELP WILL GIVE BRAINLIEST) Jesse and Miya are playing the internet card game. The cards in jesse’s hand are 5,-3,7,-6 what is the total score of jesse’s hand?
Answer:
3 (if you're supposed to add them)
Step-by-step explanation:
7+5=12
12+(-3)=9
9+(-6)=3
Answer:
I believe the answer is 3
Explanation:
5+(-3)+7+(-6) = 3
Hope this Helps!
Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take?
Answer:
3 hours
Step-by-step explanation:
285+55+285+55+285+55=1020
or another way
285+55×3= 1020
Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet
long and 18 feet wide. The medium pool is 80 feet long and 20 feet wide. The
large pool is 88 by 22. If the new superduper Coffeetable pool is 96 feet long,
how wide will it be?
Answer:
24 feet wide
Step-by-step explanation:
72/18 = 4
80/20 = 4
88/22 = 4
Since there is one common answer between all sizes, you can make a ratio to help or you can use inverse operations.
Inverse operations is easier, so you would divide 96 by 4, and that will equal 24.
WHAT IS THE VALUE OF B helpppp plz ?
Help ASAP
Add these expressions
(3x+15) + (4x+13)
Answer:7x+28
Step-by-step explanation:
Answer:
7x + 28
Step-by-step explanation:
Line up the columns just like with standard addition. Keep the x numbers in the same columns and keep the integers in their columns. It will look like this:
3x + 15
PLUS 4x + 13
----------------------
7x + 28
What number equals 2 4/5?
Answer:
2.8
Step-by-step explanation:
since 4/5 equals .8 it would just be 0.8 + 2
Answer:
14/5 i think it,s the answer
Step-by-step explanation:
