Answer:
one possible value for x is 31/40
Step-by-step explanation:
Let's isolate the 20x term. Add 13 to all three terms:
2 + 13 < 20x - 13 + 13 < 3 + 13
and this simplifies to:
15 < 20x < 16
Dividing all three terms by 20, we get:
15/20 < x < 16/20
A fraction halfway between 15/20 and 16/20 is (31/20)/2, so
one possible value for x is 31/40.
Check by substituting this into the original equation and checking whether that equation is now true:
2 <20(31/40) - 13 < 3
or
2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)
A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.
Answer:
3.24 kg
Step-by-step explanation:
internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs
external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs
Vol of thickness = 8160 - 7080 = 1080cm^3
Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg
In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.
Then find the distance of the chord from the center.
Look at the attachment
The line bisects the cord which we have to find
Length of chord=12cmHalf of the cord=12/2=6cmRadius=10cmIts a right angle triangle
using Pythagorean theorem[tex]\boxed{\sf P^2=H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]
[tex]\\ \Large\sf\longmapsto P=8cm[/tex]
Distance of the chord from centre is 8cm.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.
I'm sorry but there's not enough info
Step-by-step explanation:
Answer:
The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ
The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ
The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ
The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ
Someone please helppp
Answer:
true
Step-by-step explanation:
y = 5x+6
To find the inverse, exchange x and y
x = 5y+6
Solve for y
x-6 = 5x+6-6
x-6 = 5x
Divide by 5
x/5 - 6/5 = 5y/5
1/5x - 6/5 = y
The inverse is (x-6)/5
Find the area of a parallelogram with a base of 9m and a height of 5
Answer:
A=45m²
Step-by-step explanation:
A=bh=9·5=45m²
PLSSS HELP MEE
Equation: c = n
Is there any way for this equation to be true? How?
Step-by-step explanation:
if
c = 3 + 6 = 9
and
n = 4 + 5 = 9
then it could be true
The temperature on a mountain peak was 7 degreesFahrenheit (F) at 6:00 p.m. By 8:00 p.m., thetemperature had dropped to 0F. If the temperaturecontinued to drop at about the same rate, which isthebestestimate of the temperature at 11:00 p.m
A -20 / B. -14 / C -10 / D -9 /
Given:
The temperature on a mountain peak was 7°F at 6:00 p.m.
By 8:00 p.m., the temperature had dropped to 0°F.
To find:
The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.
Solution:
Time between 6:00 p.m. to 8:00 p.m. is 2 hours.
Change in temperature in 2 hours is -7°F.
Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.
Time between 8:00 p.m. to 11:00 p.m. is 3 hours.
Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.
Now, the temperature at 11:00 p.m is:
[tex]0-\dfrac{21}{2}=-10.5[/tex]
Therefore, the temperature at 11:00 p.m. is -10.5°F.
Note: All options are incorrect.
What is the decay factor of an exponential function that represents a 64% decrease?
Answer:
.36
Step-by-step explanation:
To find the decay factor
y = a(1-b)^x
b = 1-rate of decrease
= 1-64%
= 1-.64
= .36
When the net is folded up, which sides will touch?
A. C and G
B. M and G
C. D and F
D. E and L
Answer:
The correct answer is
D) e and l
Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:
a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)
Answer:
a)
Step-by-step explanation:
i am having problems with this problem.
Answer:
-70
Step-by-step explanation:
keep adding -4 until you reach the 18th term for example
-2
-6
-10
-14
-18
-22
-26
-30
-34
-38
-42
-46
-50
-54
-58
-62
-66
-70
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
16. PLEASE HELP ME
Solve the equation by factoring.
z2 - 6z - 27 = 0
A. z = 3 or z = 9
B. z = –3 or z = 9
C. z = –3 or z = –9
D. z = 3 or z = –9
Answer:
B
Step-by-step explanation:
z^2 - 6z - 27 = 0
(z - 9)(z+3) = 0
z - 9 = 0 z + 3 = 0
z = -3, 9
Decide !!!!!!!!!!!!!!!!!!
Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but t. We have
(3r + 2s + t + 2u + 3v) - (3r + 2s + 3t + 2u + 3v) = 7 - 17
-2t = -10
t = 5
What is the value of g(f(x)) f(x)=2x^2+3 g(x)=x-4
Answer:
2x^2 -1
Step-by-step explanation:
f(x)=2x^2+3
g(x)=x-4
g(f(x))
Replace x in g(x) with the function f(x)
g(f(x)) = 2x^2+3 -4
Combine like terms
=2x^2 -1
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
Answer:
These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly
Step-by-step explanation:
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
it began 63°F, and the temp changed by 8°F over the course of 6 hours whats the minimum and maximum???
Answer:
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Step-by-step explanation:
Beginning temperature: 63° F
Change in temperature: 8° F
If the temperature decreased: 63° F - 8 °F = 55° F
If the temperature increased: 63° F + 8° F = 71° F
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Can anyone help plz?
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
9) Three times a number added to 12 gives -6. Find the number.
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
Name the property shown by the statement a + (b + 2) = (a + b) + 2
Answer:
The associative property
Step-by-step explanation:
In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:
[tex]x^n=b[/tex] [tex]\sqrt[n]{b}=x[/tex]
[tex]a*b[/tex] [tex]a[/tex] ÷ [tex]b[/tex]
[tex]a+b[/tex] [tex]a-b[/tex]
Find the missing angle. PLS HELP FAST !
Answer:
x = 53.5°
Hope this helps... Have a good day!!
Apply the dristrbutie property to factor out the greatest common factor of 9a-18b+21c
Answer:
3 (3a-6b+7c)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The highest common factor is 3.
9/3 = 3
18/3 =6
21/3 = 7
The literals have no common factors that we know of.
Answer: 3(3a - 6b + 7c)
Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
Must click thanks and mark brainliest
Prove that 1/√2 is irrational
Answer:
Step-by-step explanation:
Let's assume that it is rational , so this number can be represented as[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]
[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex] -Since the denominator is not a natural number then the 1/√2 is respectively an irrational number
Write an algebraic expression for each verbal expression. 1.One third of a number is twelve less than the number itself 2. Two times the sum of a number and five is twenty
Answer:
1. ⅓*m = m - 12
2. 2(a + 5) = 20
Step-by-step explanation:
1. Let the number be represented by m
Let one-third of the number m, be ⅓*m
If there is 12 less of an amount of something, it implies 12 is to be subtracted from the initial amount.
Thus, 12 less than the number, m is (m - 12)
》⅓*m = m - 12
2. Let the number be represented by a
The sum of the number and 5 is (a+5)
》2(a+5) = 20
Can someone help me out with this
We know
[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]
simplify 1+tan^2x÷1+tan^2x
Answer:
uihuii
Step-by-step explanation:
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
Geometry, please answer question ASAP
Answer:
I think the shape above has an order of 5 because it has a reflectional symmetry of 5.
I hope this helps
