Answer:
x<-6
Step-by-step explanation:
3x+4>5(x+2)
Distribute
3x+4 > 5x+10
Subtract 3x from each side
3x+4 -3x> 5x-3x+10
4 > 2x+10
Subtract 10 from each side
4-10 > 2x+10-10
-6 > 2x
Divide each side by 3
-6/2 > 2x/2
-3 > x
Since x must be less than -3 the only statement that would be true is x< -6
Steven's basketball team won 5 out of their first 12 games. If they continue to win at this rate, how many games will they lose if they play 49 games?
Answer:
Number of game lose = 29 games (Approx)
Step-by-step explanation:
Given:
Winning part = 5/12
Total game = 49
Find:
Number of game lose
Computation:
Lose part = 1 - 5/12
Lose part = 7/12
Number of game lose = Total game x Lose part
Number of game lose = 49 x [7/12]
Number of game lose = 28.58
Number of game lose = 29 games (Approx)
They would lose 29 games if they play 49 games
They won 5 out of their first 12 games.
Hence the number of game lost in their first 12 games = 12 - 5 = 7 games
The rate at which they lose = 7 games / 12 games
Given that they played 49 games, hence:
Number of games lost = (7 games / 12 games) * 49 = 28.58
They would lose 29 games if they play 49 games
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The sum of two numbers is 40. One number is 4 times as large as the other. What are the numbers?
Answer:
4x+x=40
5x+40
x=8
8, 32
Step-by-step explanation:
Answer:
8 and 32 are the numbers
Step-by-step explanation:
4x + x = 40
4x + x= 5x
5x + 40
40/5= 8
x= 8
and
40-8= 32
x= 32
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.
a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?
b) Determine the maximum height of the diver.
c) How far is the diver from the water after 2 seconds?
Answer:
a) 3/4 secb) 39 feetc) 14 feetStep-by-step explanation:
Given function:
h(t) = -16t^2 + 24t + 30a) Maximum height is the vertex of the graph. Time needed:
t = -24/2(-16) = 24/32 = 3/4 secIf we double this time then diver will pass the peak point and it doesn't double the height
b) Maximum height is at vertex:
h(3/4) = -16*(3/4)^2 + 24*3/4 + 30 = 39 feetc) Distance from water after 2 seconds:
h(2) = -16*2^2 + 24*2 + 30 = 14 feetHelp me please?? ????
Answer:
40 days
Step-by-step explanation:
8 × 5 = 40
[character limit pass]
The following table shows a proportional relationship between j and m.
j
т
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
j=x3 .......................
Emma is standing 20 yards from a billboard as shown. The bottom of the billboard (B) is 6 yards above the ground, and the top (T) is 10 yards above the ground. What elevation angles might Emma use in order to read messages on the billboard? Select all that apply.
Answer:
Most reasonable: 16°, 20° and 22°
If Emma is very short, 25°
Step-by-step explanation:
This is trigonometry using Tangent and arc-tan
Tan=opp/adj
The length of the adjacent is 20 yards. The opposite lengths given are the bottom, 6 yards and the top, 10 yards. Assuming Emma is of average height, it seems reasonable to subtract about 1.7 to 1.9 yards, the distance of her eyes above ground level, for accuracy. But that may not be necessary, given the range of angles.
I subtracted 1.8, about 5'6"
Calculating tangent from the top:
8.2/20 = .41. arc-tan .41= 22.3°
tangent for the bottom:
4.2/20= .21 arc-tan .21 = 11.8°
If you are using a scientific calculator, once you have the ratio of the opp to adj in decimal form, use the tan- key then the decimal to convert to degrees.
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. a. On the double number line, label the tick marks to represent amounts of red paint (cups) red and blue paint used to make blue paint (cups) batches of this shade of purple paint. a. How many batches are made with 12 cups of red paint? red paint (cups) + b. How many batches are made with 6 cups of blue paint? blue paint (cups)
Answer:
Step-by-step explanation:
This is soo hardddd !!!
B, 1 2/5
Step-by-step explanation:
By subtracting that amount from 3, using a common facotor. You would get B.
Need help with Pythagorean Theorem
Answer: -4 and 4
Step-by-step explanation:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Answer:
leg a is 3 units and leg b is 8 units
Step-by-step explanation:
[tex]3^{2} + 8^{2} =73[/tex]
[tex]\sqrt{73} = 8.5[/tex]
so the hypotenuse is 8.5 hope this helps
find the value of the product mentally.
Answer :80
Step-by-step explanation: Do multiplication .Look at pic to see .
Nancy has 7 boxes of tomatoes. Each day, she picks another
2
box. How many boxes of
tomatoes will Nancy have in 6 days? Write an equation, complete the table, and then graph to
solve the problem.
Answer:
19 boxes of tomatoes
Step-by-step explanation:
If she starts with 7 boxes of tomatoes and she picks 2 more each day for 6 days then you can multiply 2 by 6 and get 12 tomatoes then you add the 7 boxes she originally started with and you get 19 boxes of tomatoes.
The number of boxes Nancy had after 6 days is 19, the equation representing the given phrase is y = 2x + 7, and the graph is attached below.
What is graph?A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
Given:
Nancy has 7 boxes of tomatoes,
Each day, she picks another 2 boxes,
The equation which will represent the above phrase is shown below,
Total number of tomatoes = The number of tomatoes she already had + number of days × each day's tomatoes picked by Nancy,
Assume the total number is y and the number of days is x then,
y = 7 + 2 × x
y = 2x + 7
Put the value of x = 6,
y = 2 × 6 + 7
y = 12 + 7
y = 19
Thus, she has a total of 19 boxes of tomatoes after 6 days.
To know more about Graph:
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When x pounds of force is applied to one end of a lever that is L feet long, the resulting force y on the other end is
determined by the distance between the fulcrum (the lever's pivot) and the end of the lever on which the x pounds
of force is exerted,
Change to like fraction: . a 3 and 4/7 b. 3/10 and 4/13
Answer:
a). 3 and 4/7
b). 3/10 and 4/13
Step-by-step explanation:
These are already in like fraction.
HOPE This Helps You
pls mark as brainliest
give thanks
For the funtion f(x)= (x+7)^5, Find f^-1 (x)
a: f^{-1}(x)=\sqrt[5]{x}+7f −1(x)=5x +7
b: f^−1(x)=x 5 −7
c: f −1(x)=5sqrtx−7
d: f ^−1(x)= 5sqrtx−7
Answer:
The inverse of function [tex]f(x)= (x+7)^5[/tex] is [tex]\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}[/tex]
Option A is correct option.
Step-by-step explanation:
For the function [tex]f(x)= (x+7)^5[/tex], Find [tex]f^{-1} (x)[/tex]
For finding inverse of x,
First let:
[tex]y=(x+7)^5[/tex]
Now replace x with y and y with x
[tex]x=(y+7)^5[/tex]
Now, solve for y
Taking 5th square root on both sides
[tex]\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7[/tex]
Now, replace y with [tex]f^{-1} (x)[/tex]
[tex]f^{-1} (x)=\sqrt[5]{x}+7[/tex]
So, the inverse of function [tex]f(x)= (x+7)^5[/tex] is [tex]\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}[/tex]
Option A is correct option.
Find all solutions to the equation. cos x = - 1/2
Answer:
[tex]x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n[/tex]
Step-by-step explanation:
Radian: x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n
Degree: x = 120 + 360n , x = 240 + 360n
help meeeeeeeeeeeeeeee i don't get it im not smart
Answer:
Any numbers when we add or subtract or divide or multiply that can give as -28
Step-by-step explanation:
For example, -9x3= -28
10-38=-28
Answer:
-28
Step-by-step explanation:
easy
Solve
-21 = -9 + 2/3b
Final Answer: [tex]b = -18[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]-21 = -9 + \frac{2}{3}b[/tex].
Step 1: Simplify [tex]\frac{2}{3}b[/tex] to [tex]\frac{2b}{3}[/tex].
[tex]-21 = -9 + \frac{2b}{3}[/tex]
Step 2: Regroup terms.
[tex]-21 = \frac{2b}{3} - 9[/tex]
Step 3: Add [tex]9[/tex] to both sides.
[tex]-21 + 9 = \frac{2b}{3}[/tex]
Step 4: Simplify [tex]-21 + 9[/tex] to [tex]-12[/tex].
[tex]-12 = \frac{2b}{3}[/tex]
Step 5: Multiply both sides by [tex]3[/tex].
[tex]-12[/tex] × [tex]3 = 2b[/tex]
Step 6: Simplify [tex]-12[/tex] × [tex]3[/tex] to [tex]-36[/tex].
[tex]-36 = 2b[/tex]
Step 7: Divide both sides by [tex]2[/tex].
[tex]-\frac{36}{2} = b[/tex]
Step 8: Simplify [tex]-\frac{36}{2}[/tex] to [tex]-18[/tex].
[tex]-18 = b[/tex]
Step 9: Switch sides.
[tex]b = -18[/tex]
~I hope I helped you :)~
14. 3/64 + 2/32 + 5/16 =
what is the answer
Answer:
27/64
Step-by-step explanation:
(7×16)+(5×64)64×16
=112+3201/024
=432/1024
Simplifying 432/1024, the answer is
=27/64
find the value of in the triangle below ! help pls
Answer:
0<x<5
Step-by-step explanation:
I assume based on the question that you are in a geometry class, so you should understand this. Based on the triangle inequality theorem, the sum of two sides of a triangle are greater than the third side. Using this, we can say that x+3+3 should be greater than 5. since 3+3 is already six regardless of what x is, we know that as long as x is greater than 0 it meets this requirement. Also, if 5 and 3 are added they should be greater. 5+3=8, so x must be less than 5 for the 5 and 3 sides to be greater.
Sebastian leaves £3000 in the bank for two years.
It earns compound interest of 2% per year.
Calculate the total amount Sebastian has in the bank at the end of the two
years.
36% of adults favor the use of unmanned drones by police agencies
Answer:
like
Step-by-step explanation:
HELPPPPPPPPPPP me and my sister in theFind all the missing elements:
B
a
A = 40°
a = 8
b = 7
A
C
b
B = [?]° C = [ ]° c =
C=[ ]
Round to the nearest tenth.
Enter
Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
Answer:
C=105.8 degrees. c=12
Step-by-step explanation:
Which answer shows two pairs of adjacent in the figure
Answer:
Supplementary angles
Step-by-step explanation:
Definition of supplementary angles :
"If the sum of two adjacent angles is 180°, angles are said to be supplementary angles."
m∠ABC + m∠CBD = 90° + 90° [Given]
m∠ABC + m∠CBD = 180°
Therefore, both the angles are supplementary angles.
please help me please i really need help please help me please please
Answer:
Full moon. I hope you have a good day!
Please answer thank you !!!!!
Answer:
-7x^3+8x^2+x-5
Step-by-step explanation:
We are simply adding the two functions:
f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5
400 times 45.2
Show all work
Answer: 18080!
Step-by-step explanation:400 x 450
1. Multiplying from the oneths place ( turning 45.2 into 450)
2x0=0 2x0=0 2x4=8 = So the first answer is 800
2. Multiply from the tenths place
5 x 0 = 0 5 x 0 = 0 5 x 4 = 20 = the second answer is 2000
Multiplying the hundredths place
4 x 0 = 0 4 x 0 = 0 4 x 4 = 16 = The third answer is 1600
800 + 2000 + 1600 = 18080 Hope this helped! :)
how do I answer this
Answer:The Solution
Step-by-step explanation:
Solution for What is 25 percent of 343:
25 percent *343 =
(25:100)*343 =
(25*343):100 =
8575:100 = 85.75
ILL GIVE BRAINLEST!!!! A crafter is making a triangular flag. She has two sides of length 24 inches and 36 inches. What are the length possibilities (in whole inches) for the third side?
A. 12 in. or less
B. 60 in. or more
C. between 13 in. and 59 in.
D. not possible
Given :
A crafter is making a triangular flag.
She has two sides of length 24 inches and 36 inches.
To Find :
The length possibilities (in whole inches) for the third side.
Solution :
We know, the sum of two sides of any triangle is always greater than the length of the third side.
Let, third side is d.
So, d is always less than the sum of other sides i.e. ( 24 + 36 ) = 60 .
d < 60
Also, difference between the difference of length is always less than the side.
So, d > 36 - 24
d > 12
Therefore, the length possibilities for the third side is between 13 inches and 59 inches.
i need help with this
Help asap please!!!!
I think the answer might be y=4