Answer:
−2<x<1
Step-by-step explanation:
Let's solve your inequality step-by-step.
1<x+3<4
1+−3<x+3+−3<4+−3(Add -3 to all parts)
−2<x<1
Answer: −2<x<1
Hope this helps.
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A bag has 5 blue marbles, 1 pink marble and 2 red marbles. I draw a blue marble, put it back and draw again. What is the probability that the second marble is blue?
(A) 1/2
(B) 4/7
(C) 5/8
(D) 5/7
Answer:
C
Step-by-step explanation:
If you do 5+1+2=8 then it has to be out of 8. The only option that is out of 8 is c, and if you have 5 blue then the probability is 5 blue/8 marbles in the bag.
The probability of that second marble is blue is 5/8.
What is probability?
Probability is "possibility that deals with occurrence of random events".
According to the question,
Number of blue marbles = 5
Number of pink marbles = 1
Number of red marbles = 2
Total number of marbles = 5 + 1 + 2 = 8
Formula for Probability P(E) = [tex]\frac{Number of favourable events }{Total number of events}[/tex]
Probability of getting that second marble is blue = 5/8.
Hence, the probability of that second marble is blue is 5/8.
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The height of an acrobat who jumps from a trampoline to a large mat on the ground can be modeled by f(x)=-8x^2+16x+10, where x is the time in seconds after the acrobat jumps.
How high is the trampoline off the ground?
Find the maximum height of the acrobat and the time it takes to reach this height.
The trampoline is 10 units off the ground.
The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.
We have,
To find the height of the trampoline off the ground, we need to determine the value of f(x) when x is equal to zero.
This is because at the moment the acrobat jumps (x=0), the height of the acrobat is the height of the trampoline.
Given the function f(x) = -8x² + 16x + 10, we substitute x=0 into the function:
f(0) = -8(0)² + 16(0) + 10
f(0) = 0 + 0 + 10
f(0) = 10
Now,
To find the maximum height of the acrobat and the time it takes to reach this height, we can observe that the function f(x) is in the form of a quadratic equation in the form of ax² + bx + c, where a = -8, b = 16, and c = 10.
The maximum height of the acrobat occurs at the vertex of the quadratic function.
The x-coordinate of the vertex is given by:
x = -b / (2a)
Substituting the values, we have:
x = -16 / (2 * -8)
x = -16 / -16
x = 1
The time it takes to reach the maximum height is 1 second.
To find the maximum height, substitute the value of x back into the function:
f(1) = -8(1)² + 16(1) + 10
f(1) = -8 + 16 + 10
f(1) = 18
Therefore,
The trampoline is 10 units off the ground.
The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.
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In the science lab Shad found that a candle
used 60 out of 270 ml of trapped air before
going out. What percent of the air did the
candle use?
I’m
Answer:
22.22%
Step-by-step explanation:
60/270times 200%
there are 12 gumballs in a gumball machine . there is 1 red, 6 yellow, 2 green, and 3 blue gumballs. what is the color that is most likely to come out of the machine next .
Answer:
Yellow
Step-by-step explanation:
As the ratios of all gum all’s in a comparison yellow has the most
At a school fair, students were challenged to hit one of the small congruent circles on the large rectangular board with a ball. Find the probability of hitting any small circle. Type answer as a percent.
Answer:
4.66%
Step-by-step explanation:
The probability of hitting any small circle is the combined are of the three circles divided by the area of the rectangle.
p(circle) = (combined are of the the circles)/(area of rectangle)
area of circle = (pi)r^2
area of rectangle = length * width
p(circle) = [3 * (pi)r^2]/(length * width)
p(circle) = [3 * (3.14159)(3^2)]/(52 * 35)
p(circle) = [27(3.14159)]/(1820)
p(circle) = 0.0466 = 4.66%
Answer: 4.66%
what is 16789 plus 1313333
Answer:
1,330,122
Step-by-step explanation:
16789+1313333= 1,330,122
4b2 + 5b - 27
Which of the following describes 4 in the expression above?
A.sum
B. product
C. coefficient
D. quotient
Answer:
The answer is C, the coefficient.
A quadrilateral has angles that measure 125°, 1150, and 65º.
What is the measure of the fourth angle?
Answer:
If the Angles are 125 + 150+ 65 then the missing angle is 20.
Step-by-step explanation:
All angles need to add up to 360 degrees.
f(x) = -2x^2 – 5x+1
h(x) = 3(x+3)^2 – 11
h(f(-1)) =
I hope this helps you
(4x-25) what help me I forgot
Answer:
x=25
Step-by-step explanation:
4x-25=75
Add 25 to both sides
4x=100
Divide both sides by 4
x=25
x is equal to 25.
Express in exponential form.
log327 = 3
Answer:
3^3 = 27
Step-by-step explanation:
How you right ANY log in Exponential form is like this:
Log_x Z = y
x^y = Z
So...
Log_3 27 = 3
3^3 = 27
Please help me quick
Answer:
93 degrees
Step-by-step explanation:
What is the value of x
Answer:
X=14
Step-by-step explanation:
Solve each Multi-Step equation.
-6(-6n + 2)=-228
Answer:
-6
Step-by-step explanation:
-6(-6n + 2)=-228
distribute -6
36n -12 = -228
add 12
36n= -228+12
36n= -216
divide 36
n = -6The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.
Answer:
23
Step-by-step explanation:
y+2=-5(x-5)
=-5x+25
subtract 2 from the left side and subtract it from the 25
y=-5x+23
The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.
hope it help
The diameter of a circle is 106 in. Find the area of this circle .
Answer:
35298.94
Step-by-step explanation:
pie times radius squared
PLEASE HELP ME ASAP!!!! A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and
the circle? (Use 3.14 for x and round to the nearest whole number.)
12 inches
12 inches
31 in?
68 in 2
108 in 2
125 in 2
Answer:
Depending on the shaded area, it will be less than 113 in², so not the last option
Step-by-step explanation:
Area of a circle is A= πr²
if it fits in 12 inch sides, 12 i the diameter and 6 is the radius
A= 3.14(6)²
A= 113 in²
Then, find what the shaded area is
PLEASE SEE THE ATTACHES FILE SOMEWHERE AROUND THIS MESSAGE! I REALLY NEED HELP! PLEASE
Answer:
it is easy. ∠a=29º ∠b=29º
Answer:
Step-by-step explanation:
As we can see, this triangle has 2 equal sides in length, which makes it an isosceles triangle. As the Base Angles Theorem states, the base angles of an isosceles triangle are congruent. In this case, angles a and b are the base angles. We now know they are both congruent, so we'll mark them both as a. Next, we notice that the measure of the other angle is 122°. We also know that the sum of all of the angle measures in a triangle is 180°. Using algebra and what we know so far, we can write this equation:
122°+a+a=180°.
When we solve for a, we get:
122°+2a=180° (add a and a)
2a=58° (subtract 122 from both sides)
a=29°
Since we know a=b, b=29°.
1 Which of the following statements is true?
Answer: a
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
X Y
1 -4
2 1
Answer
y-1=5(x-2)
Step-by-step explanation:
1-(-4) =5
2-1=1
y/x = 5/1 =5
(2,1)
y-1=5(x-2)
Select the factored form of the expression. If it
cannot be factored, select "already in factored
form."
4x2 - 24x + 36
A.already in factored
form
B.(2x – 6)(2x - 6)
C.(2x - 6)(2x + 6)
D.(4x – 24)(x + 1)
Answer:
work is shown and pictured
Which expression is equivalent to 3(6m)+m ?
A
19m
B
21m
C
7m+3
D
18m+6m2 please help me :C
Answer:
A. 19m
Step-by-step explanation:
3(6m) + m
Distribute:
18m + m
Add like terms:
19m
If m∠CBD = 148°, what is m∠ABE?
Answer:
show the diagram so l can help you to solve it
Answer:
its 148
Step-by-step explanation:
i just answered it, you're welcome.
Mary can type six letters in 20 minutes, Maggie can type five letters in 20 minutes, and Su Ying can type two letters in 20 minutes. Working together, and assuming that each letter is of the same length, how many minutes will it take them to type 45 letters?
Answer:
Step-by-step explanation:
After 20 minutes, will all of them working together, they would have typed 13 letters. Then after another 20 minutes, it would be 26. Then 39. But after that is gets tricky. Mary types a letter every 3 minutes. Maggie types a letter every four minutes. and Su Ying types a letter every 10 minutes. After 6 minutes, the total would go to 42 letters. Then another 3 minutes it would be 44 letters. And finally, Su Ying finishes it. Taking a total of 70 minutes, or 1 hour and 10 minutes.
Mark Brainliest Please, And I'm Glad I Could Help. (If I Did) :) Have A Good Day!
What is a reasonable range for the given function?
Solve the equation using the inverse operation .. \
z + 13 = 28
z = ?
Thanks a lot -virtual smiles- :)
Answer:
15
Step-by-step explanation:
28 - 13 = 15
A net of a three-dimensional figure is shown.
5 ft
10 ft
6 ft
pls help me it is due in 6 minutes
Using the graph, what is one solution to the equation f(x) = g(x)?
Graph of function f of x equals 4 times x minus 3. Graph of function g of x equals x cubed minus x squared minus 4 times x plus 4.
x = −2.8
x = 0.5
x = 2
x = 3
Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
By looking where the functions intercept, we conclude that the correct option is x = -2.8.
What is one solution to the equation f(x) = g(x)?
Here we have:
f(x) = 4x - 3g(x) = x³ - x² - 4x + 4To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.
The graph can be seen below:
There, we can see that we have intercepts at:
x = -2.8
x = 0.8
x = 2.9
From these, the only one that appears in the options is the first one, so that is the correct option.
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1. If Salwa constructs a triangle using her protractor, and the first two
angles she constructed were 55° and 105°, what will the third angle be
when she is done?
80°
30°
20°
55
Answer: 20°
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Angle 1 = 55°
Angle 2 = 105°
The sum of the three interior angles of a triangle is always 180°.
So:
180 = 55+105 + x
Where x is the missing angle.
Solving for x:
180-55-105 =x
20°=x
Feel free to ask for more if needed or if you did not understand something.