For this case we must solve the following inequality, finding the values for the variable "t":
[tex]t + 18 <43[/tex]
We subtract 18 from both sides of the inequality:
[tex]t + 18-18 <43-18\\t <25[/tex]
Thus, the variable "t" is defined for all strict lower values than 25.
Answer:
[tex]t <25[/tex]
Option A
What is the value of the expression? 121
A) 11
B) 13
C) 60.5
D) 11
The value of the expression for 121 is 11
yo my broski what's up
Answer:wazz up
Step-by-step explanation:
yooo what’s up dude
The tip of a solid metal cone was placed into a cube that has 10 inch edges, as shown.
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, what is the
radius of the base of the submerged portion of the cone?
Answer:
[tex]r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]
Step-by-step explanation:
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.
Initially, 10 in by 10 in by 6 in:
[tex]V_{initial}=10\cdot 10\cdot 6=600\ in^2.[/tex]
At he end, 10 in by 10 in by 8 in:
[tex]V_{final}=10\cdot 10\cdot 8=800\ in^3.[/tex]
Thus,
[tex]V_{submerged \ cone}=800-600=200\ in^3.[/tex]
Use cone's volume formula
[tex]V_{cone}=\dfrac{1}{3}\pi r^2 \cdot h,[/tex]
where r is the radius of the cone's base, h is the height of the cone.
From the diagram, h=8 in, then
[tex]200=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot 8\\ \\\pi r^2=75\\ \\r^2=\dfrac{75}{\pi}\\ \\r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]
The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
If s is the side length, then the area of the square is
A = s^ = (6)^2 = 36
This is how you were expected to answer this question. However, the actual correct answer is 36 cm^2.
Answer:
36
Step-by-step explanation:
an above ground swimming pool is priced at $525.There is a 7% sales tax rate.What is the sales tax for the above ground swimming pool in dollars and cents.
Answer:
$36.75
Step-by-step explanation:
Answer: the sales tax alone is $36.75
the above ground pool with the sales tax is 561.75
Step-by-step explanation:
525x.07 =36.75
525x1.07=561.75 or another way you could do it is 525+36.75=561.75
herman bought a sweater for $48.58 .There was a tax of $3.60 on the sweater . What was the total cost of the sweater?
Its rly easy 48.58+3.60=52.18
What is the sum of the angel measures of a triangle ?
All triangles equal 180 degrees.
The answer is 180 degrees.
which of the following is not a measure of central tendency
Where is 'the following'?
(I'll Answer in comments just give detail)
Answer:
range
Step-by-step explanation:
this is because it is asking the not central which is range.
Identify the expression and the value equivalent to 4 times 3 cubed
Answer:
[tex]4 \times 3^{3}\\\\4\times3 \times3\times3\\\\108[/tex]
Step-by-step explanation:
Four times three cubed
Given the statement, times means multiplication.
four times three
4 x 3
It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.
4 x 3³
When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.
3³ = 3 x 3 x 3
So 4 x 3³ = 4 x 3 x 3 x 3
Lastly, if we get the product your result will be 108.
4 x 3 x 3 x 3
=4 x 27
= 108
The expression is 4 times 3 cubed. The value equivalent to 4 times 3 cubed is 108.
The expression is 4 times 3 cubed.
To find the value equivalent to 4 times 3 cubed, we need to calculate it.
3 cubed means 3 raised to the power of 3, which is 3 x 3 x 3 = 27.
So, the value equivalent to 4 times 3 cubed is 4 x 27 = 108.
Learn more about expression here:https://brainly.com/question/34132400
#SPJ6
3m + n =7
m + 2n = 9
Answer:
n = 4, m = 1
Step-by-step explanation:
Given the 2 equations
3m + n = 7 → (1)
m + 2n = 9 → (2)
Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides
m = 9 - 2n → (3)
Substitute m = 9 - 2n into (1)
3(9 - 2n) + n = 7 ← distribute left side
27 - 6n + n = 7 ← simplify left side
27 - 5n = 7 ( subtract 27 from both sides )
- 5n = - 20 ( divide both sides by - 5 )
n = 4
Substitute n = 4 into (3) for corresponding value of m
m = 9 - (2 × 4) = 9 - 8 = 1
Thus m = 1 and n = 4
A cylindrical shaped drum is used to store basketballs in a gymnasium. The hollow drum measures 48 inches high with a 24 inch radius. If the radius of a basketball is 6 inches, the maximum number of basketballs that the cylindrical drum contains is_____(192, 96, 48)
Answer:
[tex]96\ basketballs[/tex]
Step-by-step explanation:
step 1
Find the volume of the cylinder (hollow drum)
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]h=48\ in[/tex]
[tex]r=24\ in[/tex]
substitute
[tex]V=\pi (24)^{2} (48)[/tex]
[tex]V=27,648\pi\ in^{3}[/tex]
step 2
Find the volume of one basketball
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=6\ in[/tex]
substitute
[tex]V=\frac{4}{3}\pi (6)^{3}[/tex]
[tex]V=288\pi\ in^{3}[/tex]
step 3
Find the maximum number of basketballs that the cylindrical drum contains
so
Divide the volume of the cylinder by the volume of one basketball
[tex]27,648\pi/288\pi=96\ basketballs[/tex]
the number of apple s juan eats and the numbers of hours he sleep each night represents what type of correlation
Positive
Median
Negative
No correlation
Answer:
No correlation
Step-by-step explanation:
With the information provided, we have to conclude there is no correlation, since there is no apparent link between the two information.
It would be a positive correlation for example if we knew that the more apples Juan eats, the more he sleeps (or vice-versa).
It could be a negative correlation if we found that the more apples he eats, the less hours of sleep he has (or vice-versa).
But in this instance, we don't have any data indicating there is any form of correlation between those two numbers.
A dogs leash allows him to walk in a circle the leash is 6ft long what is the size of the yard inside the circle the dog can walk
Answer:
113.09733552923 in2
Step-by-step explanation:
The leash is basically the radius. If the radius is 6...
If you find the area of the circle using the formula πr square. π=3.14. you can do the rest.
What is the amplitude of the sinusoids function m(x)= -3.5 cos x
Answer:
The amplitude of the given sinusoidal function is 3.5
Step-by-step explanation:
The given sinusoidal function is
[tex]m(x)=-3.5\cos x[/tex]
This function is of the form:
[tex]m(x)=a\cos bx[/tex]
where
a=|-3.5|=3.5 is the amplitude.
Therefore the amplitude of the given sinusoidal function is 3.5
Differentiate which of the following models best fits the data.
(-2,-1), (0,1), (1,2), (3,4), (5,6)
f(x) = – x2+ 2x - 3
f(x) = x + 1
f(x) = - x3 + x + 1
f(x) = (2)x
Answer:
Option B f(x) = x + 1
Step-by-step explanation:
The given points are
x y Relationship (x & y)
-2 -1 -2 + 1 = -1
0 1 0 + 1 = 1
1 2 1 + 1 = 2
3 4 3 + 1 = 4
5 6 5 + 1 = 6
As we can see the difference in x and y values of each ordered pairs is one
Therefore, relationship between x & y that can be represented by y = x + 1
Option B f(x) = x + 1 is the answer.
For the lengths AB, BC, and AC to equal 9,7, and 16 respectively, what is the value of x?
The answer is:
The value of x is 3.9 units.
Why?From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)
So, writing the equation, we have:
[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]
Now, adding like terms, we have:
[tex]2x-3+(x+1)=9.7[/tex]
[tex]2x+x-3+1=9.7[/tex]
[tex]3x-2=9.7[/tex]
[tex]3x=9.7+2[/tex]
[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]
Hence, we have the value of x is 3.9 units.
Have a nice day!
Answer: the answer is 6.
Step-by-step explanation:
a p e x
Need to find the surface area
Answer:
So first, we can see that two out of four sides of this triangular prism is a square because they have equal side lengths.
The surface area of these two sides should be:
A = a² · 2 = 10² · 2 = 100 · 2 = 200 (ft²)
Next, we need to find the area of the two triangles:
A = bh/2 · 2 = hb = 8 · 12 = 96 (ft²)
Lastly, we have the rectangular base:
A = wl = 10 · 12 = 120 (ft²)
All we need to do now is to add up all of our results:
A = 200 + 96 + 120 = 416 (ft²)
How to expand 3(n+7)
Answer:
3n+21
Step-by-step explanation:
3 × n =3n
3 × (+7) = +21
Answer:
Use distributive property.
3(n+7),
3*n + 3*7=
3n + 21
Hope this helps and have a great day!
Need help very badly.
Find the area of the shaded region.
Round to the nearest tenth
The area of the square is 36 squared inches, because it is a square with a side of 6 inches.
The two semicircles have a radius of 3 inches. If we subtract their areas from the area of the square, we have
[tex]36-2\left(\dfrac{\pi\cdot 3^2}{2}\right) = 36-9\pi[/tex]
The shaded region is half of this area, so the answer is
[tex]\dfrac{36-9\pi}{2} \approx 7.7[/tex]
36 minus 9 multiplied by Pi . Then divide that answer by 2 to get 7.7
if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x)=(x-a)squared +b what is the value of a for f(x)? A. 6 B. -6 C. 12 D. -12
Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
solve the system x=3y+9 9-x=-3y
a) no solution
b) infinite solutions
c) (3,-1)
d) (0,3)
I believe I did this correctly. Comment to tell me if I didn't.
__________________________________
I got infinite solutions.
For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.
ANSWER
b) infinite solutions
EXPLANATION
The given system is:
x=3y+9 ...(1)
9-x=-3y...(2)
Put equation (1) into equation (2)
This implies that,
9-(3y+9)=-3y
Expand the parenthesis,
9-3y-9=-3y
-3y=-3y
1=1
This implies that, that the system has infinitely many solutions.
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
None.
Distribute the 3 to the (x + 4) to get 3x + 12.
Subtract 3x from both sides to get 12 = 4.
This is not true, so there are no solutions.
Identify two values that have a value less than 3 what is the answer to this question?
Answer:
the answer is 2.9 x 10^0 and 3.2 x 10^-2
Step-by-step explanation:
10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3
if i could get brainliest answer that would be great!
10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3
Answer:
C and D
Step-by-step explanation:
A. 2.9 × 10¹ = 2.9 × 10 = 29
B. 3.2 × 10³ = 3.2 × 1000 = 3000
C. 2.9 × 10⁰ = 2.9 × 1 = 2.9
D. 3.2 × 10⁻² = 3.2 × 0.01 = 0.032
Both C and D have values less than 3.
The value of √13 is between _____.
2 and 3
3 and 4
4 and 5
5 and 6
Answer: Second option.
Step-by-step explanation:
The square root of a number "x" is a number "b" that multiplied by itself is "x":
[tex]b*b=x[/tex]
We know that the square root of 16 is 4 ([tex]\sqrt{16}=4[/tex]) because:
[tex]4*4=16[/tex]
Then [tex]\sqrt{13}[/tex] should be less than 4.
We know that the square root of 9 is 3 ([tex]\sqrt{9}=3[/tex]) because:
[tex]3*3=9[/tex]
Then [tex]\sqrt{13}[/tex] should be greater than 3.
Therefore, the value of [tex]\sqrt{13}[/tex] is between 3 and 4.
This matches with the second option.
Hello Brainly Student! Your answer is 3 and 4! Hope this helped!!
factor -7x^3+21x^2+3x-9 by grouping
Answer:
[tex](-7x^2+3)(x-3)[/tex]
Step-by-step explanation:
We can take "common" from first 2 terms and common from next 2 terms. Shown below:
[tex]-7x^3+21x^2+3x-9\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]
That's how we do it. We can't simplify, or factor, any further.
Which is equivalent to log2 n= 4?
Answer:
n = 16Step-by-step explanation:
[tex]\text{De}\text{finition of logarithm:}\\\\\log_ab=c\iff a^c=b\\\\\text{where}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c\in\mathbb{R}\\===========================\\\\\log_2n=4\iff n=2^4\\\\n=16[/tex]
Answer:
I don't know what answers you were given to your problem but I think the answer is
D) log n =4log2
Sorry if I got it wrong.
Solve the quadratic equation for x. What is one of the roots?
(x + 6)2 = 49
A) −13
B) −6
C) −7
D) −1
Answer:
A) −13
Step-by-step explanation:
(x + 6)^2 = 49
Take the square root of each side
sqrt((x + 6)^2) = ±sqrt(49)
x+6 = ±7
Subtract 6 from each side
x+6-6 = -6 ±7
x =-6 ±7
Separating into 2 parts
x = -6+7 x = -6-7
x = 1 x = -13
what is
40π=5⁄18πr2
(5/18 is a fraction and 2 is an exponent)
r1 = -12 and r2 = 12
[tex]\bf 40\pi =\cfrac{5}{18}\pi r^2\implies 40\pi =\cfrac{5\pi r^2}{18}\implies 720\pi =5\pi r^2\implies \cfrac{720\pi }{5\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]
how can u find the median if there are two numbers left in between? look at the pic (question 5)
T o find the median if there are two numbers in between find the mean or the average. To do that add up the 2 middle numbers then divide by 2 that's your median
Which statement is true about these triangles?
Answer:
ΔADC ≅ ΔCBA by the SSS congruence postulate
Step-by-step explanation:
This is because of the following:
AD ≅ CB
DC≅AB
lastly, AC≅AC,
however ΔADC ≅ ΔABC by the SSS congruence postulate is also true since ΔABC and ΔCBA is just the same triangle. We can name our triangle in the both the same way.