Answer:
Step-by-step explanation:
x² = -64
= -1 · 64
Using -1 = i²:
x² = 64 · i²
Using 64 = 8²:
x² = 8² · i²
= (8·i)²
Taking the square root of both sides:
x = 8i
find three positive consecutive integers such that the product of the smallest and the largest is 26 more than six times the middle integer
Answer:
8, 9, 10
Step-by-step explanation:
three positive consecutive integers
x, x + 1, x + 2
the product of the smallest and the largest is 26 more than six times the middle integer
x(x + 2) = 6(x + 1) + 26
Expand
x^2 + 2x = 6x + 6 + 26
Combine like terms
x^2 + 2x = 6x + 32
Subtract 6x + 32 from both sides
x^2 - 4x - 32 = 0
Factor
(Alternately use the quadratic formula or complete the sqaure)
(x - 8)(x + 4)
x = {-4, 8}
-4 is extraneous because the integers must be positive
x = 8
x + 1 = 9
x + 2 = 10
8, 9, 10
Answer:
[tex]8,9,10[/tex]
Step-by-step explanation:
We can make this an equation and use the variable n to represent our numbers
[tex]n-1(smallest)[/tex]
[tex]n(middle)[/tex]
[tex]n+1(largest)[/tex]
[tex](n-1)\cdot (n+1)=6n+26[/tex]
[tex]n^2-1 = 6n+26[/tex]
[tex]n^2 - 6n - 27 = 0[/tex]
After we factorize we get
[tex]n=9[/tex]
since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]
brainliest please :)
I am struggling with my math. help me please
HELP ME!!!!
Answer: 234
Step-by-step explanation:
5.f(1)+5.g(9)=
Please answer the questions
Answer:
5f+45g
Step-by-step explanation:
Simplify
5*f(1) = 5f
5*g(9) = 45g
5f+45g
Please help!! Thank you!! :)
Answer:
the answer for this equation is -32
You have 400 euros. What is this amount in US dollars?
Help me pls i will mark the best answer brainlist
Answer:
452.38 US dollars.
Step-by-step explanation:
A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the explanation.
The designer can use the ratio 1 fluid ounce ≈ 29.6 milliliters and then multiply:
40 × blank
=
. The designer might decide to convert mL to L and round to the nearest tenth of a liter:
mL ≈
L
The metric unit of a quantity is simply the unit of measurement of the quantity
The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters
The volume of the crushed tomato can is given as:
[tex]\mathbf{Volume = 40oz}[/tex]
From the question, we have the following conversion ratio
[tex]\mathbf{1oz \approx 29.6mL}[/tex]
So, the volume in milliliters becomes
[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]
Multiply
[tex]\mathbf{Volume = 1184mL}[/tex]
To convert the unit to liters, we simply divide the volume by 1000.
So, we have:
[tex]\mathbf{Volume = 1184L \div 1000}[/tex]
[tex]\mathbf{Volume = 1.184L}[/tex]
Hence, the equivalent volumes are 1184 milliliters and 1.184 liters
Read more about metric units at:
https://brainly.com/question/2004114
A number c minus 7.3 is less than 6. write this word sentence as an inequality?
Answer:
c - 7.3 < 6
Step-by-step explanation:
c - 7.3 is less than 6
less than is the same as <
So c - 7.3 < 6
-Chetan K
Answer:
c - 7.3 < 6
Step-by-step explanation:
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?
I’ll do 50 points please answer right away !!!!!!!
Answer:
60
Step-by-step explanation:
I hope this helps
The diameter of the cylinder is equal to 59.98 units.
Given the following data:
Volume of cylinder = 33,912 [tex]unit^3[/tex]Height of cylinder = 12 units.To determine the diameter of the cylinder:
First of all, we would find the radius of the circular base of this cylinder.
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]
Radius, r = 29.99 units.
For the diameter:
[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]
Diameter = 59.98 units.
Read more: https://brainly.com/question/1908836
The difference of 7 and the square of a number
Answer:
7 - [tex]x^{2}[/tex]
Step-by-step explanation:
This is the answer because:
1. "Difference" means subtraction
2. The statement basically is saying, what is 7 subtracted by the square of x
3. That simplifies to 7-x^2
Hope this helps!
Hi there! (:
The difference of means we subtract:
7-f² (let the number be f)
Hope it helps!
~An excited gal
#StayJoyful
[tex]SparklingFlower[/tex]
What is the value of 8 + z, when z = 5?
0 5
0 3
O 12
O 13
Answer:
8 + z = 13.
Step-by-step explanation:
8 + z = ?
z = 5
8 + 5 = ?
8 + 5 = 13.
Answer:
13
Reasoning
[tex]8+z=?[/tex] when z=5
[tex]8+5=13[/tex]
The equation for line A is given by y= -3/4x-2. Suppose line A is parallel to line B, and line T is perpendicular to line A. Point (2,5) lies on both line B and line T. What is the equation for line B?
Answer:
y=4/3x+19/3
Step-by-step explanation:
perpendicular = slope is the negative reciprical.
plug in the point (-4,1) for (x,y)
1(y)=4/3(-4)+b
1=-16/3+b
b=19/3
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. How many adults alight from the ship?
Answer:
1580÷100×60
=948
60%=948
60-20
=40
1580÷100×40
=632
948-632
=316
MARK ME BRAINLIEST PLS I WILL GET A NEW RANK!!What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The answer to the equation is 48.
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the value of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
I think I need to know what the cat weighs first...
A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?
what is the answer ?????
Answer:
2456≈2500
14725=14700 (to 3sf)
Which statement proves that ____
Answer:
the question is incomplete
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
https://brainly.com/question/17257427
Y=2x-1 và y=3x+2 khi
Answer:
x = 3, y= 5
Step-by-step explanation:
y = 2x - 1 -----(1)
y = 3x + 2 ----(2)
From (1)
2x - y = 1 ----(3)
From (2)
3x - y = -2 -----(4)
Solving (3) and (4) simultaneously
2x - y = 1
- 3x - y = -2
___________
x = 3
subst. x = 3 in (1)
2(3) - y = 1
6 - y = 1
y = 6-1
y = 5
Hence, x = 3, y = 5
Hwlp with work its 3am and im stuck help
Answer:
[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]
Step-by-step explanation:
A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term. This simply means that the sum of the two numbers before a term, are the term.
Hope it helps :) and let me knwo if you want me to elaborate.
Answer:
a is 28 and b is 31
Step-by-step explanation:
i hoped this helped
Determine a series of transformations that would map Figure O onto Figure P.
Answer:
OP question dude..
Step-by-step explanation:
Over Powered
Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.
Answer:
$8
Step-by-step explanation:
60% of 30 is 16.
1/2 of 16 is 8.
He has $8 left.
Help me do this plz
Answer:
10.25
Step-by-step explanation:
Using the pythagorean theorem
13^2 = 8^2 + (ML)^2
169 = 64 + (ML)^2
Subtract 64 from both sides
105 = (ML)^2
Take the square root of both sides
10.25 = ML
This question: 1p
Find the surface area of the prism.
Answer:
Step-by-step explanation:
24 marbles were shared equally amongst a group of children. each child received 4 Marbles how many children were in the group?
Answer:
6
Step-by-step explanation:
24/6=4
6x4=24
6+6=12
6+6=12 12+12=24
Solution:
Given,
No. of marbles =24
No. of marbles each child received=4
No. of children in the group=?
Here,
No. of children in the group = No. of marbles/
No. of marbles
each child received
=24/4
=6
Hence, There were 6 children in the group.
Pleeeeeeeeeeaaaaaaaaaaase help
Answer:
its 100
Step-by-step explanation:
The question is asking what is ∠ABD, you have to look at when A=0 on the projector, so if you follow along the 0° from A, when it reaches D, the project reads 100°
no guessing here,
you know 80° cannot be correct because this angel is obtuse and not acute
which means greater that 90°
Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
A 65 ÷ 13
B 65 ÷ 130
C 650 ÷ 130
D 650 ÷ 13
Answer:
A & C
Step-by-step explanation:
To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.
Let's begin solving!
65 ÷ 13 = 5
So now we know that A is one of our answers
65 ÷ 130 = 0.5
Not one of our answers because the quotient is not 5
650 ÷ 130 = 5
This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.
Hope this helps you :)
Answers are A and C.
6.5 ÷1.3 = 5
A. 65 ÷ 13 = 5 so yes
B. 65 ÷ 130 = .5 so no
C. 650 ÷ 130 = 5 so yes
D. 650 ÷ 13 = 50 so no
Work out the percentage change when a price of £40 is decreased to £18
The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21
Answer:
I have no clue I'm trying to get my account set up