Answers
Related Questions
-6 < 2t - 5 < 3
Solve for T
Answers
Answer:
I think it's 7
Step-by-step explanation:
-6 < 2T (-5+5) < 3+5
-6 < 2T < 8
+6 < 2T < 8 + 6
0 < 2T < 14
0 < ÷ 2 < ÷ 2
0 < T < 7
-0 < T < -0
T = 7
i finished all of these but i wanted to make sure these were correct! i will be posting others and thank you for answering :)
Answers
Answer:
Step-by-step explanation:
Where are your answers?
-6(x + 7) = -12 Help plzzzzzz
Answers
Answer:
x=-5
Step-by-step explanation:
-6(x + 7)=-12
-6x+-42=-12
-6x=30
x=-5
Answer:
X = -5
Step-by-step explanation:
-6(x+7)=-12
Use the distributive property
-6x-42=-12
Add 42 to -42, and 42 to -12
Adding 42 to -42 cancels -42 out
-6x=30
Divide -6 by -6, and 30 by -6
x=-5
If f(-4) for f(x)=-2x+7 is 15, then what is f^-1 (15)?
Answers
let's recall that for a function f(x) that has an inverse function f⁻¹(x), the domain of f(x) corresponds to the range of f⁻¹(x), what the heck does that all mean?
well, it means that for any coordinate pairs (a , b) in f(x), there's a corresponding pair of (b , a) on f⁻¹(x).
we know in this case that f(-4) = 15, or namely that f(x) has a pair of (-4 , 15), well, that means that f⁻¹(x) has a swapped pair of (15 , -4).
the above means that f⁻¹(15) = -4.
simplify the expression 5/6 (-2y + 3) = ?
Answers
Answer:
[tex]-\frac{5y}{3}+\frac{5}{2}[/tex]
Step-by-step explanation:
Given Problem;
[tex]\frac{5}{6}\left(-2y+3\right)[/tex]
Solve;
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{5}{6}\left(-2y+3\right)=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]
[tex]=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]
[tex]\mathrm{Simplify\;=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3:}-\frac{5y}{3}+\frac{5}{2}[/tex]
[tex]=-\frac{5y}{3}+\frac{5}{2}[/tex]
Hence, Answer = [tex]-\frac{5y}{3}+\frac{5}{2}[/tex]
~Learn with Lenvy~
Sylvia’s cat weighs 12 pounds Michele’s cat weights 9 pounds.
How many more ounces does Sylvia’s cat weigh than Michele’s cat?
Answers
Answer:
Sylvia's cat weighs 3 pounds more than Michelle's cat
Sylvia’s cat weighs 48 ounces more than Michele’s cat.
What is weight?The downward force exerted by any object due to the effect of the earth's gravity is called weight.
Given that:-
Sylvia’s cat weighs 12 pounds Michele’s cat weighs 9 pounds.The difference between the weight = 12 - 9 = 3 pound
1 pound = 16 ounces
3 pounds = 16 x 3 ounces = 48 ounces
Therefore Sylvia’s cat weighs 48 ounces more than Michele’s cat.
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Solid metal support poles in the form of right cylinders are made out of metal with a density of 6.1 g/cm 3 3 . This metal can be purchased for $0.62 per kilogram. Calculate the cost of a utility pole with a diameter of 41 cm and a height of 780 cm. Round your answer to the nearest cent.
Answers
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
Density formula
The density formula is given by:
Density = mass/volume
The volume of the cylinder = π * radius² * height
Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:
Volume = π * 20.5² * 780 = 1029798 cm³
Density = mass/volume
6.1 = mass/1029798
mass = 6281770 kg
Cost = 6281770 kg * $0.62 per kilogram = $3894697.41
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
Find out more on Density at: https://brainly.com/question/1354972
What is 7z+ 2(z - 5y)?
Answers
Answer:
9z - 10y
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 7z + 2z - 10yCombine like terms: 9z - 10yI hope this helps!
9z-10y
Hope it helps!
an artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. The rectangle is 12.0 feet wide and 7.0 feet long. how much string should the artist use? round your answer to the nearest tenth of a foot
feet of string:
Answers
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Mrs. Jenkins has petri dishes to divide evenly among the students. She wants to make sure she has enough petri dishes. The number of dishes each student gets depends on the number of students. The more students that decide to do the bacteria experiment, the fewer the number of petri dishes each student gets.
Answers
Answer:
Ok, suppose that there are M Petri dishes, where M is an integer number.
If there are N students in the class, then the number of Petri dishes that each student gets is:
# = M/N.
(always that N divides M)
If not, we will have a remainder, R, of Petri dishes such that:
M ≥ N
R < N
This means that:
The total number of Petri dishes must be equal or larger than the number of students.
If M is larger than N, and N does not divide M, then the remainder of the quotient will be smaller than N.
Now with this, you can replace the numbers and do the math.
"The more students that decide to do the bacteria experiment, the fewer the number of Petri dishes each student gets."
You can easily see this because the equation for the number of Petri dishes that each student gets is:
# = M/N.
Here, N is in the denominator, then if the number of students in the class increases, the denominator in the operation increases, which means that the quotient will be smaller.
If f(x) = |x|+ 9 and g(x) = -6, which describes the value of (f + g)(x)?
O (f+g)(x) > 3 for all values of x
O (f+ g)(x) < 3 for all values of x
(f + g)(x) < 6 for all values of x
(f + g)(x) > 6 for all values of x
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Answer:
(f+g)(x) > 3 for all values of x
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
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Answers
show that the foflleing statement and soln
There are tables (4) and (5) represent quadratic relationships.
What is the quadratic relationship?A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.
As per table (4), we have
x y
0 4
1 -4
2 -4
3 4
Substitute these points in the graph, we get it represents quadratic relationships.
When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.
As per table (5), we have
x y
0 -4
1 -8
2 -10
3 -10
When we substitute these points in the graph, we see that it also shows quadratic relations.
Thus, tables (4) and (5) represent quadratic relationships.
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The complete question has been attached below.
LOOK AT THE PICTURE
PLEASE PLEASE HELP ASAP THIS TEST IS IMPORTANT I WILL MARK BRAINLIEST AND GIVE 20 POINTS OR MORE LOOK AT THE PICTURE
Maria is trying to estimate 30. She uses this table of values:
What should she do next to find 30 to the nearest hundredth?
A. She should find the squares of numbers between 5.5 and 5.6.
B. She should estimate that 30 is 5.50.
C. She should find the squares of numbers between 5.4 and 5.5.
D. She should find the average of 5.4 and 5.5.
Answers
Answer:
A im pretty sure :)
Step-by-step explanation:
Solve the system of linear equations in two variables by elimination or substitution.
4x+ 3y=2
2x-3y=1
Answers
Answer:
( [tex]\frac{1}{2}[/tex], 0 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 2 → (1)
2x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the y- term, that is
6x = 3 ( divide both sides by 6 )
x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and evaluate for y
Substituting into (1)
4([tex]\frac{1}{2}[/tex] ) + 3y = 2
2 + 3y = 2 ( subtract 2 from both sides )
3y = 0 ⇒ y = 0
Solution is ( [tex]\frac{1}{2}[/tex], 0 )
F
∝
a
If
F
=
48
when
a
=
3
find,
F
when
a
=
4
Answers
Answer:
F(4) = 36
Step-by-step explanation:
F = C/a, where C is a constant
Since 48 = C/3
C = 144
F(a) = 144/a
-----
F(3) = 144/3
F(3) = 48
----
F(4) = 144/4
F(4) = 36
8+3(4x-2) anyone know how to solve?
Answers
Answer:
x = -1/6
Step-by-step explanation:
Firstly, you need to expand the brackets. So this would give, 8 + 12x - 6.
Then you collect like terms to give, 12x + 2. After this, we solve for x. To do this we need to assume that all this is = 0. Then it's easy to solve:
12x + 2 = 0
12x = -2
x = -2/12
x = -1/6
Let R be the region in the first quadrant bounded by x2 − y2 = 16, the horizontal line y = 0, and the vertical line x = 5. What is the volume of the solid formed by revolving R about the x-axis?
Answers
Check the picture below.
so the region is the one bounded by a hyperbola and two straight lines, one of which is the x-axis, or namely y = 0, since the hyperbola has a vertex at x = 4, then our bounds are from 4 to 5.
[tex]x^2-y^2=16\implies x^2-16=y^2\implies \pm\sqrt{x^2-16}=y \\\\\\ \stackrel{I~Quadrant}{+\sqrt{x^2-16}=y}\qquad \qquad \implies \stackrel{\textit{using the disk method}~\hfill }{\displaystyle\int_{4}^{5}~\pi \left( \sqrt{x^2-16} \right)^2\cdot dx\implies \pi \int_{4}^{5}(x^2-16)dx} \\\\\\ \pi \left( \left. \cfrac{x^3}{3} \right]_{4}^{5} ~~ - ~~\left. 16x\cfrac{}{} \right]_{4}^{5}\right)\implies \pi \left[\cfrac{61}{3}~~ - ~~16 \right]\implies \cfrac{13\pi }{3}[/tex]
A sundae requires 333 ice-cream scoops and 444 strawberries, and a milkshake requires 222 ice-cream scoops and 666 strawberries. Ramses wants to make sundaes and milkshakes with at most 252525 ice-cream scoops and 373737 strawberries. Let SSS denote the number of sundaes he makes and MMM the number of milkshakes he makes.
Answers
Answer:
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Step-by-step explanation:
Sunday ice cream :
Ice cream scoops = 3
Strawberries = 4
Milkshake :
Ice cream scoops = 2
Strawberries = 6
Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x be the no. sundaes and y be the no. of milkshakes
So, Equations are :
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Now we are supposed to graph the solution
[tex]3x+2y\leq 25[/tex] --- Blue
[tex]4x+6y \leq 37[/tex] --- Green
Refer the attached figure
The volume of this right prism is 214.5 ft. What is the height, x, of the prism? 5 ft Enter your answer as a decimal in the box. 5 ft 5.8 ft X= ft x A 8 ft. Pls help me!
Answers
The volume of the right prism is the product of the length, width and height
The height of the prism is 7.40 ft
How to determine the height of the prism?The given parameters are:
Volume = 214.5 ft cube
Length = 5 ft
Width = 5.8 ft
The volume of the right prism is calculated as:
Volume = Length * Width * Height
So, we have:
214.5 = 5 * 5.8 * Height
Evaluate the product
214.5 = 29 * Height
Divide both sides by 29
7.40 = Height
Rewrite as:
Height = 7.40
Hence, the height of the prism is 7.40 ft
Read more about volumes at:
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Answer:
6.6
Step-by-step explanation:
If f(x) = 2x – 10, what is f(4)
Answers
Answer:
I got you :)
Step-by-step explanation:
F(x)=2x-10
Ok, so when you need to know f(4) you plug in 4 for x
f(4)=2(4)-10
2x4 = 8
8-10= -2
f(4)= -2
Hope this helps!
Hi! Hope you're enjoying your day!
In order to solve this, all we have to do is plug in the value of x.
So we're given that
f(x)=2x-10
So f of x is equal to 2 times x minus 10.
Thus
f of 4 is equal to 2 times 4 minus 10 (it can be simplified, right?) :)
f(4)=8-10
f(4)=-2
Hence, the answer is
[tex]\boxed{\boxed{\bold{f(4)=-2}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{200}{2}[/tex]
What is the slope of line t?
Answers
Answer:
9 /89
Step-by-step explanation:
100 g of fish cost 70¢.
€
(a) Calculate the cost of 180 g.
(b) Mr Tan paid $2.45 for some fish. How
many grams of fish did he buy?
Answers
Answer:
a) 100/70 = 1.43 cents for 1 g of fish
180 x 1.43 = 257.4 pennies = 2.57 dollars
b) 2.45 dollars = 245 pennies
245/1.43 = 141.33.... = 141 g
Step-by-step explanation:
Which of the following statements are equivalent
to the statement "the price decreased by 25%"?
Choose all the correct answers.
(A) The price doubled.
(B) The price is 150% of the price before.
(C) The price was reduced by a quarter.
(D) The price is half of what it was before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
F
-
3
(G) The price now is 200% of what it was before.
(H) The price is 75% of what it was before.
Answers
Answer:
(C) The price was reduced by a quarter
(H) The price is 75% of what it was before.
Step-by-step explanation:
Let's go through all the answer choices:
(A) The price doubled.
(B) The price is 150% of the price before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
(G) The price now is 200% of what it was before.
knowing that decreased meaning smaller or fewer.
Thus, it can't be doubled or more than 100% as well was greater.
Hence, the best answer is
(C) The price was reduced by a quarter
(H) The price is 75% of what it was before.
Note:
Reduced = Smaller, Less amount
Greater = More
Doubled = More
Decreased = Smaller, Less amount.
[RevyBreeze]
The statements are equivalent to the statement "the price decreased by 25%" are:
The price was reduced by a quarter.
The price is 75% of what it was before.
We have statement,
"the price decreased by 25%".
So, the statement that follow the statement is
The price was reduced by a quarter.
The price is 75% of what it was before.
Statements are not equivalent to the given statement.
"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.
"The price doubled."
"The price is 150% of the price before."
"The price is now 1.5 times greater than what it was before."
"The price now is 200% of what it was before."
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Bob bought some new boots that cost $67.34. He paid 7.5% tax. How much did he pay at the cash register?
A. $3.20
B. $24.78
C. $72.39
D. $33.40
Answers
Answer:
72.39
Step-by-step explanation:
Cost of boots: 67.34
Tax: 7.5%
Amount of tax he payed: 67.34 * 7.5/100 = 5.05
Total Amount = 67.34 + 5.05 = 72.39
in the figure shown, what is the value of x?
Answers
we can see that the triangle is isosceles since it has 2 equal sides
so that means 2 equal angles then :
x + 17 = 4x - 34
3x = 51
x = 17
or
the sum of 3 triangles angles = 180
6x + 10 + x + 17 + 4x - 34 = 180
11x = 187
x = 17
Answer:
Step-by-step explanation:
(6x+10)+(x+17)+(4x+34)=180
11x+61=180
11x+61-161=180-61
11x=119
11x/11=119/11
x=10 9/119
The town of Mathville is building an arena shaped as a pyramid. If the base a square with sides measuring 600 feet and the height of the pyramid is 300 feet, what is the volume of this pyramid?
Answers
Check the picture below.
[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{600\times 600}{360000}\\ h=300 \end{cases}\implies V=\cfrac{(360000)(300)}{3}\implies V=36000000~ft^3[/tex]
What are the equation and slope of the line shown on the grid? I give Brainliest Answer!
Answers
Answer:I think it’s y = 6; slope is 6
Step-by-step explanation:
Because it’s on the positive side so I think it’s that one
The equation of the line will be x = 6. And the slope of the vertical line is infinite.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the vertical line is given as,
x = c
The line is passing through (6, 0). Then we have
6 = c
Then the equation of the line will be x = 6. And the slope of the vertical line is infinite.
More about the linear equation link is given below.
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Each week you notice
more and more squirrels in
your front yard. At the end
of the first week you notice
5 squirrels. At the end of
the second week you see 8
and by the end of the third
week there are 11. If they
continue to move to your
yard at the same rate how
many squirrels will there be
after 28 week
Answers
Answer:
140 squirrels
Step-by-step explanation:
first week, there are 5 squirrels.
second week, there are 8 squirrels.
third week, there are 11 squirrels.
let's calculate the amount of squirrels at the end of 28 weeks. from the statement given, an addition of 3 squirrels for every week.
by cross multiply method:
5 squirrels = 1 week
x squirrels = 28 weeks
x = 28 x 5
x = 140 squirrels.
so you will have an amount of 140 squirrels after 28 weeks.
Please help me with this math problem!! Will give brainliest!! Please include a drawing in your answer. No links please!!
Answers
Answer:
Step-by-step explanation:
AC = 150 Feet
CB = 75 feet.
BD = 100 feet
You use the tangent here.
Tan(A) = opposite/ Adjacent
Opposite = BD = 100 feet
Adjacent = AB = AC + CB = 150 + 75 = 225 feet.
Tan(A) = 100 / 225
Tan(A) = 0.4444
A = Tan-1(0.4444)
A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall
y=-3x^2-24x-42 in vertex form
Answers
Answer:
Step-by-step explanation:
y = - 3x² - 24x - 42
y = - 3( x² + 8x + 14 )
y = - 3( x² + 2·4·x + 16 - 16 + 14 )
y = - 3[ ( x + 4 )² - 2 ]
y = - 3( x + 4 )² + 6