Answer: Whats the question?
Step-by-step explanation:
12-ton pickup truck is 17 3/4 feet long. If it is parked in a garage that is 28 1/2 feet in length, how much longer is the garage than the truck?
Answer:
10 3/4 feet longer
Step-by-step explanation:
17 3/4= 17.75
28 1/2= 28.50
28.50 - 17.75 = 10.75
10.75 = 10 3/4
Which equation represents a line that is parallel to the line y=3-2x?
1) 4X+ 2Y=5
2)2x+4y=1
3)y=3-4X
4)y=4X-2
Answer:
(1)
Step-by-step explanation:
Slope of the given line is -2
1) 4x + 2y = 5, 2y = -4x + 5, y = -2x + 5/2, slope is -2
Parallel line, same slope so the answer is (1)
consider the sequence 1/2 ;4 ;1/4 ;7 ;1/8 ;10
Answer:
Consider the sequence
12,4,14,7,18 ,10,⋯. Calculate the sum of the first 50 y terms of that sequence
pls solve then too
Answer:
13)
Given:
x = 3
y = 1.5
We exchange these values into our equation (2x + 4y + 3x);
2x + 4y + 3x
Altered, would be:-
2(3) + 4(1.5) + 3(3)
6 + 6 + 9
= 21
15) First, we need to find the volume of the cube;
1/2(one side), but since all sides to a cube are equal we multiply that length by itself 3 times.
So;
1/2 x 1/2 x 1/2 = 1/8 is the volume of one cube.
Now we find the rectangular prism's volume, using the formula;
V(volume) = W x H x L
Where 'W' represents the width, 'H' represents the height, and 'L' represents the length.
Substitute these values in our formula:
V = W x H x L
V = 2 1/2 x 8 x 1/2
V = 5/2 x 8 x 1/2
V = 5/2 x 8/2
V = 5/2 x 4
V = 10
So now, we divide the total volume by the volume of one cube to get the total of how many cubes would be needed to fill this prism.
10 ÷ 1/8
10 x 8/1
10 x 8
= 80
Please help asap! I will gave brainlest!
Step-by-step explanation:
[tex] \frac{ \tan(x) + \cot(x) }{ \cot(x) } [/tex]
[tex] \frac{ \tan(x) }{ \cot(x) } + 1[/tex]
[tex] \frac{ \frac{ \sin(x) }{ \cos(x) } }{ \frac{ \cos(x) }{ \sin(x) } } + 1[/tex]
[tex]{ \tan {}^{2} (x) } + 1[/tex]
[tex] = \sec {}^{2} (x) [/tex]
how do you solve this?
Answer:
78.75 ft^2
Step-by-step explanation:
right triangle area
(6 X 20) ÷ 2 = 60 ft^2
left triangle area
do Pythagoras with 6 and 15:
√(15^2 - 6^2) ≈ 13.75
20 - 13.75 = 6.25
(6 X 6.25) ÷ 2 = 18.75 ft^2
total = 60 + 18.75
hey id really appreciate if someone can help me here
Answer:
C (lower left corner)
Step-by-step explanation:
Lower extreme: 67
Upper extreme: 75
Median: 70
Upper quartile: 73
Lower quatile: 69
Have a great day!!
Please mark brainliest and rate!!
is this correct or no?
Answer:
Uh, is what correct or no
Step-by-step explanation:
"The product of a six and a number increased by four is equal to
the product of twelve and the same number decreased by twenty."
Answer:
[tex] 6x + 4 = 12x - 20 [/tex]
[tex] x = 4 [/tex]
Step-by-step explanation:
Let "x" be the number.
Product of 6 and x (6*x), increased by 4 = [tex] 6x + 4 [/tex]
Product of 12 and x, (12*x), decreased by 20 = [tex] 12x - 20 [/tex].
Set both expressions equal to each other and solve for x as shown below:
[tex] 6x + 4 = 12x - 20 [/tex] (equation)
Subtract 12 from both sides
[tex] 6x + 4 - 12x = 12x - 20 - 12x [/tex]
[tex] -6x + 4 = -20 [/tex]
Subtract 4 from both sides
[tex] -6x + 4 - 4 = -20 - 4 [/tex]
[tex] -6x = -24 [/tex]
Divide both sides by -6
[tex] \frac{-6x}{-6} = \frac{-24}{-6} [/tex]
[tex] x = 4 [/tex]
What is 0.15 times 7.54
Answer:
1.131
Step-by-step explanation:
Answer: 0.15 times 7.54 is 1.131
What are the values of x and y?
Answer: x=35 and y=72.5
Step-by-step explanation:
Everything os 360, so x is 35 because it los like it has the same measure as the another 35, so if you substract 70 360=290 and 290/4 = 72.5
Area of a circle
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Find the area of a circle with a circumference of 37.68 units.
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If you have 250 toothpicks, and want to make them into a pyramid (shown in photo), how many levels will it make?
I know there are 12 rows shown in the photo, but I'm not sure of the equation you need in order to actually find that there are 12 levels. Could anyone tell me? Thanks! :)
Answer:
12 full levels
Step-by-step explanation:
There are multiple ways to do this, what I prefer is recursion
Let's define a equation which helps us determine the number of toothpicks of a pyramid with x levels f(x)
f(1)=3
f(2)=9
f(3)=18
f(4) =30
Etc Etc...
Eventually we can see that for every level x×3 toothpicks are added to f(x-1), so
f(x) = 3*x + f(x-1), so this becomes a geometric sequence 3*(1+2+3...+x)
Now we want to find out how many levels 250 toothpicks can make
250=3*(1+2+3+4..+x)
250/3 = 1+2+3...
I assume you want full levels so I will round down the answer, the closest you can get to 250/3 is (1+2+3...12)
So 12 full levels and a bit of extra toothpicks left
There are 12 full levels it will make.
What is a triangular pyramid?Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid.
here a equation which helps us determine the number of toothpicks of a pyramid with x levels f(x)
f(1)=3
f(2)=9
f(3)=18
f(4) =30
we can see that for every level x×3 toothpicks are added to f(x-1), so
f(x) = 3x + f(x-1), so geometric sequence 3*(1+2+3...+x)
Now we want to find out how many levels 250 toothpicks can make;
250=3*(1+2+3+4..+x)
250/3 = 1+2+3...
Thus, the closest we can get to 250/3 is (1+2+3...12)
Hence, 12 full levels and a bit of extra toothpicks left
Learn more about pyramid here:
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If a=-3 what is 3a squared
Answer: 27
====================================================
Work Shown:
a = -3
a^2 = (-3)^2 .... squaring both sides
a^2 = 9
3a^2 = 3*9 .... multiply both sides by 3
3a^2 = 27
------------------
Or you could do it this way
3a^2 = 3(-3)^2 ... replace 'a' with -3
3a^2 = 3(9)
3a^2 = 27
Which of these expressions is not equivalent to the others?
9 n + 11
9n+3 +2
(4 n+ 5 ) + (3 + 8 – 6)
(4 n+ 3) + 5 n+ 8 - 6
Answer:
9n + 11
Step-by-step explanation:
Solve the following;
(4 n+ 5 ) + (3 + 8 – 6)
(4 n+ 3) + 5 n+ 8 - 6
Solve;
~~~~~~~~~~~~~~~~~~~~
(4n + 3) + 5n + 8 - 6
4n + 3 +5n + 2
9n + 5
~~~~~~~~~~~~~~~~~~~~
(4n + 5n) + (3 + 8 - 6)
9n + 5
~~~~~~~~~~~~~~~~~~~~
Hence, out of these expression 9n + 11 is not equivalent to the others
~Learn with Lenvy~
Hey there!
Solve all equations
=> 9n + 11
= 9n +11
=> 9n +3 +2
=9n + 5
=> (4n +5) + (3+8-6)
= 4n + 5 + 3 + 8 - 6
= 4n + 16 -6
= 4n + 10
=> 4n+3+5n+8−6
=4n+3+5n+8+−6
Combine Like Terms:
=4n+3+5n+8+−6
=(4n+5n)+(3+8+−6)
=9n+5
Therefore, expressions that is equivalent to the others are 9n + 11 and (4 n+ 5 ) + (3 + 8 – 6)
what is 1.0 x 10.0 in a fraction
Answer:
10.0 but if you want it in fraction it is 0.100
Step-by-step explanation:
Step 1:
[tex]1.0 \times 10.0[/tex]
Step 2:
[tex] = \dfrac{10}{10} \times \dfrac{100}{10} [/tex]
To make them in fraction we have to remove decimals
Step 3:
[tex] = \dfrac{1000}{100} [/tex]
Step 4:
[tex] = \dfrac{10}{1}✓[/tex]
The temperature, HH, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H=f(t)H=f(t), where tt is in minutes since the coffee was put on the counter. (a) Is f′(t)f′(t) positive or negative? negative (Be sure that you are able to give a reason for your answer.) (b) What are the units of f′(20)f′(20)? help (units) Suppose that |f′(20)|=1.5|f′(20)|=1.5 and f(20)=56f(20)=56. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case. At minutes after the coffee was put on the counter, its temperature is and will ? by about in the next 45 seconds.
Answer:
A) f'(t) is negative
B) degc/min
c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Step-by-step explanation:
A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative
B ) The units of f'(20) = degc/min
C) At ║f'(20)║ = 1.5 and f'(20) = 56
║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5
therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125
At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
What is the equation of this line?
a) y = 1/4 ×
b) y = - 1/4 x
c) y = - 4 x
d) y = 4 x
Answer:
b) y = - 1/4 x
Step-by-step explanation:
You can find the slope by using rise over run. And sense this is a negative line the slope must be negative as well.
Answer:
The equation of the line is y=-1/4x
Five times the sum of twice a number, x, and two is ten.
Find the number.
x=?
Answer:
0
Step-by-step explanation:
5(2x + 2) = 10
10x + 10 = 10
10x = 0
x = 0
Answer:
x = 0
Step-by-step explanation:
First, let's translate this statement into an equation.
5 times the sum of twice a number, x, and two means "5(2x + 2)"is ten means "= 105(2x + 2) = 10Solving
Step 1: Simplify both sides.
[tex](5)(2x)+(5)(2)=10[/tex] [tex]10x+10=10[/tex]Step 2: Subtract 10 from both sides.
[tex]10x+10-10=10-10[/tex] [tex]10x=0[/tex]Step 3: Divide both sides by 10.
[tex]10x/10=0/10[/tex] [tex]x=0[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
To construct a regular octagon, what measure would be necessary for each interior angle? Construct an angle of that measure.
Answer:
[tex]135^\circ[/tex]
Step-by-step explanation:
Given that, a regular octagon is to be constructed.
To find:
Each angle in the octagon = ?
Solution:
We know that a regular triangle (polygon with 3 sides) has an interior angle of [tex]60^\circ[/tex].
And a regular quadrilateral (square) has an interior angle of [tex]90^\circ[/tex].
Therefore, formula for interior angle of a regular polygon with [tex]n[/tex] number of sides can be given as:
[tex]\dfrac{n-2}{n}\times 180^\circ[/tex]
For an octagon, we have [tex]n=8[/tex].
Value of Interior angle in a regular octagon:
[tex]\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}[/tex]
Kindly refer to the attached image for the angle of [tex]135^\circ[/tex]
f(x)=x + 3 and g(x)=x2−x. Find and simplify the expression.
(f+g)(4)
Answer:
11
Step-by-step explanation:
A basketball team won 24% of its games. If they won 12 games, how many did they play?
I need help with the problem below. I will give brainliest
Answer:
π + 2
Step-by-step explanation:
x² + y² - 4x - 4y + 4 = 0
(x² - 4x + 4) + (y² - 4y + 4) + 4 - 4 - 4 = 0
(x - 2)² + (y - 2)² = 4
So the radius of the circle = 2, center C(2, 2)
Are a of AMNB = area of semi-circle - area of segment AB
= area of semi-circle - (area of quarter circle ABC - area of triangle ABC)
= area of quarter circle ABC + area of triangle ABC
= π(2)²/4 + 2*2/2
= π + 2
y and x have a proportional relationship, and y = 8 when x = -16.
What is the value of y when x = 4?
• y = -8
• y = -2
• y = 2
• y= 8
-7 = z/-6
[tex] - 7 = \frac{z}{ - 6} [/tex]
What is the answer?
Convert y
3x2 + 6x – 5 to vertex form.
Answer:
y = 3(x + 1)^2 - 8Step-by-step explanation:
Given
y = 3x^2 + 6x – 5Converting to vertex form
y = a(x – h)^2 + ky = 3x^2 + 6x + 3 - 8y = 3(x + 1)^2 - 8Solve 4(x - 5) = 28.
A. X= 27
O B. X = 7
O C. x = 6
O
D. X = 12
Answer:
d
Step-by-step explanation:
use calculator
Answer:
x=12
Step-by-step explanation:
because 12-5=7 and do the other math and the answer is there
When Alvin woke up in the morning, it was
–
9°F. By the afternoon, the temperature had risen to
–
2°F.
What was the change in temperature from the morning to the afternoon?
Answer:
The answer to this question is: 7
The change in temperature from the morning to the afternoon is 7°F.
Given that, Alvin woke up in the morning, it was –9°F. By the afternoon, the temperature had risen to –2°F.
We need to find what was the change in temperature from the morning to the afternoon.
What is the change in temperature?Temperature change is a process whereby the degree of hotness of a body (or medium) changes.
You subtract the final temperature from the starting temperature to find the difference.
Now, change in teperature=-2-(-9)
=-2+9=7
Therefore, the change in temperature from the morning to the afternoon is 7°F.
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Lines M and N are parallel. Find the measure of ∠b.
Answer:
65 degrees
Step-by-step explanation:
Alternate interior angle therom
john and his friend took 4 hour bic ycle trip. in all, they traveled 150 km. what was their average rate of speed?
PLS ANSWER I NEED IT
Answer:
37.5 kmph
Step-by-step explanation:
150km ÷ 4hr = 37.5kmph
Answer:
37.5 km/hr
Step-by-step explanation:
The trip took 4 hours to travel 150 km.
To find the average rate you have to divide 150 km by the time it took for them to travel that distance (4 hours) to find how far they travelled in one hour.
EQUATION: 150 km ÷ 4 hrs = 37.5 km