Answer:
[tex]v(t) = 4(t -7)(t +1)[/tex]
Step-by-step explanation:
Given
[tex]v(t) = 4t^2 - 24t - 28[/tex]
Required
Rewrite in a different form
To write in a factored form, we have:
[tex]v(t) = 4t^2 - 24t - 28[/tex]
Expand
[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]
Factorize
[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]
Factor out t + 1
[tex]v(t) = (4t -28)(t +1)[/tex]
Factorize 4t - 28
[tex]v(t) = 4(t -7)(t +1)[/tex]
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?
Answer:
1/8 or 0.125
Step-by-step explanation:
So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..
...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."
Well, oof.
Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.
To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:
Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juiceSame for the ham:
Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and waterPutting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....
..and a fruit.
Hope this helped!
If you need me to show my work, just comment me and I will attach a screenshot!
Source: N/A
Mrs. James is making snow cone cups using a special-coated paper to sell at a school
fundraiser. The snow cone cups have a diameter of 4 inches across the widest part of the
snow cone and are 5 inches tall.
What value most closely represents the amount of coated paper in square inches that Mrs.
James will need to make 150 snow cone cups?
Answer:
6957 inches squared
Step-by-step explanation:
surface area of a cone = πr × (r + √[h² + r²])
h = height
r = radius = 4/2 = 2 inches
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
(3.14 x 2) x (2 + √5² + 2²) = 6.28 x 7.39 = 46.38 inches squared
the amount of coated paper needed for 1 cup is 46.38 inches squared
Amount needed for 150 cups = 46.38 x 150 = 6957
x 150
Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Here, we want to write an inverse relationship
for an inverse relationship, the product of both variables will be equal to the constant term
Let us have the constant term as k
Thus, we have it that;
xy = k
9 * 5 = k
k = 45
So the inverse function is;
xy = 45
or y = 45/x
if y is a function of x, we can have it as;
f(x) = 45/x
In order for Tim to simplify the expression below, what step will he need to use for each variable's exponent? 6 x y^2 z^4 2 x^2 y^5 z A Divide the exponents B Multiply the exponents C Add the exponents D Subtract the exponents
Answer:
C. Add the exponents
Step-by-step explanation:
The given expression is presented as follows;
6·x·y²·z⁴·2·x²·y⁵·z
The expression can be rearranged by according to like terms as follows;
6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z
By the law of indices, we add the exponents of the like terms to simplify the expression as follows;
3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵
In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.
A rectangular box has a base measuring a by a meters and height of b meters.
Which of the following represents the surface area of the box?
Answer:
2a(a+2b) square metres
Step-by-step explanation:
surface area of a box = 2(lw+wh+lh)
l is the length = a metres
w is the width = a mtres
h is the height = b metres
Substitute into the formula
surface area of a box = 2(a*a+ab+ab)
surface area of a box = 2(a² + 2ab)
surface area of a box = 2a(a+2b) square metres
This give sthe surface area of the box
2. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water? Write the ratio in 2 different forms in the box. (2 points)
Answer:
3/5
cups of rice over cups of water
Step-by-step explanation:
I'm sorry I only know one way.
Two more than the quotient of a number and 5 is equal to 8
Answer:
30
Step-by-step explanation:
We can start by writing an equation:
2 + x / 5 = 8
We are adding 2 since we are asking for two more than the quotient, and it is set equal to 8 as given by the problem.
We can subtract 2 from both sides to isolate the x term:
2 + x / 5 = 8
-2 -2
x / 5 = 6
Now, we can multiply by 5 to cancel out the division by 5:
x / 5 = 6
* 5 * 5
x = 30
So, the number is 30.
The requried number is 30, and the equation model is x/5 + 2 = 8.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
In the question, we have given a statement, and using that we have to model an equation,
To model an equation 1 step is to assign a variable.
So let the number be x.
According to the quesiton,
Two is more than the quotient of a number and 5 is equal to 8
x/5 + 2 = 8
x/5 = 8 - 2
x /5 = 6
x = 5 × 6
x = 30
Thus, the requried number is 30, and the equation model is x/5 + 2 = 8.
Learn more about models here:
https://brainly.com/question/29216499
#SPJ2
Please help :( ill give brainlest
Answer:
I think for this one it is D.
Step-by-step explanation:
1. Find the area of parallelogram ABCD.
Round to the nearest tenth.
A 55.4 m2
C 69.3 m2
B 60 m2
D 80 m2
2. The area of the parallelogram DEFG is 143 square units.
Find the height. Round to the nearest tenth if necessary.
Fll units
H 22 units
G 14.3 units
J 44 units
3. The base of a triangle is three times its height.
If the area of a triangle is 54 square inches, find its height.
A 18 in.
C3 in.
B 6 in.
DI in.
4. Find the area of quadrilateral PQRS.
F 34.1 units
G 65 units?
H 130 units?
J 360 units
Answer:
1: C =69.3 m2
2: F = ll units
3. C: 3 in.
4. G =65 units
Step-by-step explanation:
1: C =69.3 m2
We see from the figure that height of the parallelogram ABCD is not known and the base is 10 m
Taking the right angled triangle the height is given by
Sine theta= height/hypotenuse
height = hypotenuse* sine theta
= 8* sine 60
= 8* 0.866= 6.928
Area of parallelogram= base * height
= 10 * 6.928
= 69.28
=69.3 m²
2: F = ll units
We see from the figure that height of the parallelogram DEFG is not known and the base is 13 cm
Area of parallelogram= base * height
143 = 13 * height
Height = 143/13= 11 units
3. C: 3 in.
The area of the triangle = 1/2 * base * height
Let the height be x then the base is 3x
54= 1/2*x*3x
54= 3x²/2
27= 3x²
x²=27/3
x²= 9
x= 3
The height is 3 inches
4. G =65 units
Area of the quadrilateral = 1/2 *PR*QO + 1/2 *PR*OS
= 1/2*13*4+ 1/2*13*6
=26+ 39
= 65 units
These measurements are given in the diagram .
100 points and its ez just in class and need help
Answer:
Slope: 3, Y-intercept: 8
Step-by-step explanation:
=> Slope: Change in y / Change in x
Change in y = +6
Change in x = +2
Slope = 6 / 2
Slope = 3
=> A value of y in the data set where x = 0
Y-intercept: 8
Hope this helps!
Answer:
you can mark jadedmulan as brainliest.
area of isosces triangle formula
Answer:
area = height x Base/2
Step-by-step explanation:
The cost to rent a bicycle is $5.00 plus $3.00 per hour for x hours. What equation
represents the total cost, C, for x hours? *
1. C = 5x + 3
2.C = x(5 + 3)
3.C = 5 + 3x
4.C = 5x + 3x
Answer:
3
Step-by-step explanation:
hope this helps with the problem
Answer:
C = 5+3x
Step-by-step explanation:
if its 3.00 per hour for x hours, you have to multiply 3 by x hours.
Stacey earns $15 each week plus $.50 for each customer on her paper route.she wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25?
Answer:
15 + .5x = 25
Step-by-step explanation:
.5x = 10
x = 20
What is the solution to the system of equation? Write the x-value or x-coordinate.
7x+2y=24
8x+2y=30
What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.
Answer:
X = 6, y=-9
Step-by-step explanation:
7x + 2y =24 equation 1
8x + 2y=30 equation 2
-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y
-7x-2y=-24 equation 1 multiplied by -1
8x+2y=30 equation 2
x+0=6 add above 2 equations
x=6
solve for y
7x + 2y=24
7(6) + 2y=24
42 + 2y =24
2y=-18
y=-9
check answers
8x + 2y=30
8(6) + 2(-9)=30
48-18=30
30=30
7x + 2y = 24
7(6)+2(-9)=24
42-18=24
24=24
What is the radius of a sphere with a volume of 90581 In3, to the nearest tenth of an
inch?
Answer:
27.9
Step-by-step explanation:
y = 5х + 9
у = 3х - 2
how many solutions does this equation have ?
Answer:
One
Step-by-step explanation:
THe two equations have different slopes so they will intersect at one point.
If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.
Answer:
x=20
Step-by-step explanation:
Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area
Answer:
I think not possible to do
Solve for v.
–9,45 − 6,1v = –2,8v + 13,98
Answer:
V would equal -7.1.
Step-by-step explanation:
It appears you have set the decimal points as commas. Let's remove that and replace it with decimal points. (AkA ".")
First, we move every term with "V" in this problem to the left.
-9.45 - 3.3v = 13.98
Next, we add -9.45 to 13.98 which equals 23.43.
We then make 3.3v negative.
-3.3v = 23.43
We then divide 23.43 and 3.3v by 3.3.
We cancel out 3.3v to leave 23.43/3.3.
We can now divide 23.43 by 3.3 to get -7.1.
V = -7.1
Answer:
V would equal -7.1.
Step-by-step explanation:
Carlos has $13 in his bank account and writes a check for $22. After the check has been cashed, what will the bank balance show?
Answer:
Step by step explanation:
13-22=-9
A 2.18 x 10-8 F capacitor has plates
separated by 3.89 x 10-8 m. What is
the area of the plates?
Answer:
9.58 *10^-5
Step-by-step explanation:
Acellus
multiply 3x3yand 4x3
Here,
Answer:
21
Step-by-step explanation:
[tex]x^{2}[/tex]+8x+7
Answer:
(x + 1)(x + 7)
Step-by-step explanation:
Assuming you require the expression factored
x² + 8x + 7
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 1 and + 7 , since
1 × 7 = 7 and 1 + 7 = 8 , then
x² + 8x + 7 = (x + 1)(x + 7) ← in factored form
Which expression is equivalent to 9(9m + 3t) ?
81m + 3t
81, m, + 3, t
81m + 27t
81, m , + 27, t
18m + 3t
18, m, + 3, t
18m + 12t
Rezolvați în mulțimea numerelor reale ecuația:
x+15−2x−12=x10
DAU COROANA!
-x10−x+3=0
x≈−1.1530188,1.06806865
he graph below shows the results of a middle school election for president of the student body.
How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370
Answer:
Step-by-step explanation:
please answer thissssssssssssssssssssssss
Answer:
C
Step-by-step explanation:
SA= 2lw+2lh+2wh
Answer:b
Step-by-step explanation:
Find the simple interest earned on $1500 at 7% p.a. for 5 years.
Answer:
simple interest = $525
total amount = $ 2025
Solve equation
0=-2x+4
Answer:
x=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
➜-2x+4=0
➜-2x=-4
➜2x=4
➜x=4/2
➜x=2
Solve (3^p times 81 = 9) for p
Answer:
p = -2
Step-by-step explanation:
Start by dividing both sides by 81 to get the power by itself.
[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]
Write the fraction using a power of 3.
[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]
This assumes you know about negative exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]