Answer:
t = 2.25
Step-by-step explanation:
To find t, divide each side by 4.
9 = 4t
Divide 9 by 4:
2.25 = t
So, t = 2.25
Anyone know how to do this??
Answer:
green square
Step-by-step explanation:
have u ever heard of slope face
Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an² + bn + c.
1, 11, 27 and 49
Find the values of a, b and c.
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
The measure of a, b and c is 3, 1 and - 3 respectively.
What is a quadratic sequence?A quadratic sequence is a sequence whose nth term is given by the general formula -
A{n} = an² + bn + c.
Given are the 4 terms of the quadratic sequence as 1, 11, 27 and 49.
Now, we can the following equations as -
A{1} = a + b + c = 1
a + b + c = 1
c = 1 - a - b ........ Eq[1]
A{2} = 4a + 2b + c = 11
4a + 2b + c = 11
c = 11 - 4a - 2b ........ Eq[2]
A{3} = 9a + 3b + c = 27
9a + 3b + c = 27
c = 27 - 9a - 3b ........ Eq[3]
A{4} = 16a + 4b + c = 49
16a + 4b + c = 49
c = 49 - 16a - 4b ........ Eq[4]
Equate Eq[1] and Eq[2] -
1 - a - b = 11 - 4a - 2b
1 - 11 = - 4a - 2b + a + b
- 10 = - 3a - b
3a + b = 10 ........... Eq[5]
Equate Eq[3] and Eq[4] -
27 - 9a - 3b = 49 - 16a - 4b
- 9a - 3b + 16a + 4b = 49 - 27
7a + b = 22 .......... Eq[6]
We can write -
7a + 10 - 3a = 22
4a + 10 = 22
4a = 12
a = 3
and
b = 10 - 3a
b = 10 - 9
b = 1
At last -
c = 1 - a - b
c = 1 - 3 - 1
c = - 3
Therefore, the measure of a, b and c is 3, 1 and - 3 respectively.
To solve more questions on quadratic sequence, visit the link below -
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Graph the line with the equation y= - 1/4x -7?
Answer:
just go down negative 7 on the y int and that's ur starting point, then go down -1 and over 4 to the right, repeat this step 2 or 3 times then draw ur line.
The line with the equation y= - 1/4x -7 graph is shown below.
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)
are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y= - 1/4x -7
Now, the graph of the function is given in the image.
Learn more about graphing functions here:
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The radius of a circular field is 35m. Calculate the area path 3.5m wide running inside the field.
Answer: Twenty one meeters!!
Answer: The area of the path running around the inside edge of the field is 731.2 m²
If the path is across the middle of the field, the area of that path is about 245m²
Step-by-step explanation:
The radius of the field is 35m, subtracting 3.5 from that leaves the radius of the inside edge of the path at 31.5 m
The area of the path will be the difference between the two areas.
π × 35² = 3848.45
π × 31.5² = 3117.25
3848.45 - 3117.45 = 731.2
If the path is across the middle of the field, use the diameter, 70m, times the width of the path, 3.5m, to find the area of that path: 245m²
I hope this helps.
What is the answer to this
9514 1404 393
Answer:
ΔXYZ ~ ΔBCA
Step-by-step explanation:
Matching angle designators, smallest to largest, we can write ...
ΔXYZ ~ ΔBCA
PLEASE HELP ME PLEASE!!!!!!
Answer:
Step-by-step explanation:
d = 8 inches
r = 8/2 = 4 inches
h = 9 inches
Volume of the can = πr²h
= 3.1428 * 4*4 * 9
= 452.56 cubic inches
In 2007 you weighed 207 pounds. In 2008 you weighed 198 pounds, and in 2009 you
weighed 185 pounds. How many pounds did you lose from 2007 to 2009?
Answer:
Its 22 pounds lost
Step-by-step explanation:
you subtract 198 from 207 and then subtract 185 from 198 then add both of the anwsers that you got
Mr. Brown borrows $2,500 from his bank to buy a used car. The loan has a 5.4% annual simple interest rate. If it takes Mr. Brown 9 months to pay back the loan, how much interest will he be paying?
Answer:
2770
Step-by-step explanation:
5.5, 5.054, 5.0090,5.05
arrange in ascending
order
Answer:
5.0090, 5.05, 5.054, 5.5
one month jane rented 9 movies and 7 video games for a total of $56 the next month she rented 3 movies and 5 video games for a total of $34 find the rental cost for each movie and each video game
A day of the week is chosen at random what is the probability of choosing ?
Answer:
chossing what? every day of the week can be chossen with 1/5 probablity
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are two days of the week that starts with S. That's already 2/7. But , we add on Monday and that gives us 3/7
The probability of the day being chosen as Monday or Saturday or Sunday is 3/7.
PLEASE MARK ME AS BRAINLIEST
how many sides does a polygon have if the measure of each exterior angle is 18? what is the sum of the measures of the interior angles?
9514 1404 393
Answer:
20 sides3240°Step-by-step explanation:
The sum of measures of exterior angles is 360°, so the number of sides (n) can be found from ...
18° × n = 360°
n = 360/18 = 20
The polygon has 20 sides.
__
The sum of measures of interior angles will be ...
20(180° -18°) = 3240° . . . . sum of interior angles
**HELP ASAP** 30 POINTS!
What is one of the numbers multiplied to find the product called?
What is the number being divided called?
What is the number that divides another number called?
*PLEASE DON'T DELETE, NEED HELP ASAP*
Answer:
Step-by-step explanation:
One of the numbers multiplied to find the product called multiplicand.
The number being divided called Dividend
The number that divides another number called Divisor
Answer:
The numbers multiplied to find the product is called Multiplicand.
The number being divided is called the Dividend.
The number that divides another number called is the Divisor.
Truly hope this Helps !
What will it cost to buy a rectangular window with a length of 10ft and a width of 13ft? The cost per square foot for this type of window is $7.02 per square foot.
Answer:i need points
Step-by-step explanation:
The cost to buy the rectangular window is $ 912.60
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the cost to buy rectangular window be represented as A
Now , the value of A is
The length of the rectangular window be L = 10 feet
The width of the rectangular window be W = 13 feet
Let the cost per square foot be c = $ 7.02
Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular window = 10 x 13 = 130 feet²
The cost to buy the rectangular window A = 130 x cost per square foot
Substituting the values in the equation , we get
The cost to buy the rectangular window A = 130 x 7.02
The cost to buy the rectangular window A = $ 912.60
Hence , the cost to buy the window is $ 912.60
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Quick I need to finish this in 5 minutes****only fractions
what is the slope of this graph?
What is 6-32/3 With step by step explain
Answer:
-4.6 hope this helps
Step-by-step explanation:
please help me please will give brainliest to anyone
Answer:
its C
Step-by-step explanation:
I need help!!!!!!!!!!
Answer:
third
Step-by-step explanation:
Answer:
11 and 12
Step-by-step explanation:
the square root of 125 is 11.18
Lmc and gfc of 3,5 and 6
Answer:
Lcm is 30 and gcf is 1
Step-by-step explanation:
Trust me
Answer:
The LCM (lowest common factor) of 3, 5, and 6 is 30.
The GCF (greatest common factor) of 3, 5, and 6 is 1.
Step-by-step explanation:
If John got a raise from $25,000 per year to $28,750 per year, what percent increase was his raise?
Question Progress
Homework Progress
4123
Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are?
Answer: 8, 13, 18
Step-by-step explanation:
The difference between the greatest and least values is 10, the range.
Add the three numbers to get the total, 39, then divide by 3 to get the mean, 13.
Is this set of ordered pairs a function?
{(1, 1), (2,3), (3, 4), (4, 2), (5, 1)} A
Answer:
yes that is
Step-by-step explanation:
...
Are these fractions equivalent or nonequivalent?
1/11 2/22
Answer:
equivalent
Step-by-step explanation:
is you divide both 2 and 22 by 2... you get 1/11
Answer:
Equivalent
Step-by-step explanation:
1/11 times 2=2/22
2/22 divided by 2=1/11
(hope this helps-ty for the points :P)
2.
- 4x + 9y = 14
12x – 10y = -8
;
multiplication
Answer:
Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8
-144+108y/4 - 10y = -8
-144 + 108y - 40y/4 = -8
-144 + 108y - 40y = -32
108y - 40y = -32+144
68y = 112
Y= 1.64
2-4x+9y=14
12x-10y= -8
2-14+9y = 4x
-12 + 9y = 4x ( equation 3)
(Put in equation 2)
Answer:
-4x + 9y = 14 answer is x = [tex]\frac{9}{4}y+ \frac{-7}{2}[/tex]
12x - 10y = -8 answer is x = [tex]\frac{5}{6}y +\frac{-2}{3}[/tex]
Step-by-step explanation:
solve for x
-4x + 9y = 14
add -9y to both sides
-4x + 9y + -9y = 14 + -9y
-4x = -9y + 14
divide both sides by -4
-4x/-4 = -9y + 14/-4
Anwser
x = [tex]\frac{9}{4}y + \frac{-7}{2}[/tex]
solve for x
12x - 10y = -8
add 10y to both sides
12x - 10y + 10y = -8 + 10y
12x = 10y -8
Divide both sides by 12
12x/12 = 10y - 8/12
Anwser
x = [tex]\frac{5}{6}y +\frac{-2}{3}[/tex]
can u please answer this sme one
Answer:
Samir wins by 20 seconds
Step-by-step explanation:
Answer:
Samir= 2 minutes and 30 seconds
Dan= 130= 2 minutes and 10 seconds
Step-by-step explanation:
Yep
round 50947 to the nearest 1000
Answer:
51,000
Step-by-step explanation:
10+21 +32 +43 +54 +(-54)+(-43)+(-32)+(-21)+(-10)
Answer:
0
Step-by-step explanation:
Work Done (J) = Force (N) x Distance (m)
Calculate the distance that an object is moved with the
following force applied and work done:
50 N and 300 J
Answer:
distance = 6.0 m
Step-by-step explanation:
1. Take note of the given.
Force = 50 N Work Done = 300 J m = ?
2. Write the formula.
J = Nm
3. Substitute.
300 J = (50N)(m)
4. Divide both sides by 50 N to isolate m.
300 J / 50 N = m
6 = m
Solve for x. Enter the solutions from least to greatest.
(x+7)^2 −49=0
Help plz
Answer:
x=0
Step-by-step explanation:
We can first add 49 to both sides to get (x+7)^2=49
We can then take the square root of both sides and get x+7=7
Subtract 7 to both sides and you get x=0
Answer:
[tex]x=-14\text{ and } x=0[/tex]
Step-by-step explanation:
We are given:
[tex](x+7)^2-49=0[/tex]
And we want to solve for x.
First, we can add 49 to both sides:
[tex](x+7)^2=49[/tex]
Now, we can take the square root of both sides. Since we are taking an even root, we will need plus-minus. Hence:
[tex]x+7=\pm\sqrt{49}[/tex]
Evaluate:
[tex]x+7=\pm7[/tex]
Subtract 7 from both sides:
[tex]x=-7\pm7[/tex]
So, we have two solutions:
[tex]x=-7+7\text{ and } x=-7-7[/tex]
Evaluate:
[tex]x=0\text{ and } x=-14[/tex]
So, from least to greatest, our solutions are:
[tex]x=-14\text{ and } x=0[/tex]
