Answer:
(1) & (3)
Step-by-step explanation:
Given
List of options
Required
Select which is equal to 60 when h = 3
To do this, we simply substitute 3 for h in all of the options.
1.
[tex](h + 1)^3 - 4[/tex]
[tex](3 + 1)^3 - 4[/tex]
[tex]4^3 - 4[/tex]
[tex]64 - 4[/tex]
[tex]60[/tex]
Hence:
[tex](h + 1)^3 - 4= 60[/tex]
2.
[tex](4h)^2 + 36[/tex]
[tex](4*3)^2 + 36[/tex]
[tex](12)^2 + 36[/tex]
[tex]144 + 36[/tex]
[tex]180[/tex]
Hence:
[tex](4h)^2 + 36=180[/tex]
3.
[tex]4h^2 + 24[/tex]
[tex]4*3^2 + 24[/tex]
[tex]4 * 9 + 24[/tex]
[tex]36 + 24[/tex]
[tex]60[/tex]
Hence:
[tex]4h^2 + 24 = 60[/tex]
4.
3. A full container of juice holds 64 fluid
ounces. How many 7-fluid ounce servings
of juice are in a full container?
Answer:
9.1 or 9.1 ≈ 9
Step-by-step explanation:
All you have to do is divide 64/7 which gives you the number of containers.
Hope this helps!
It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to feed 14 people. If everyone gets a same sized piece how big is the piece going to be?
I NEED THIS ANSWER ASAP PLZ
Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]
Step-by-step explanation:
Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]
Total people = 14
If everyone gets a same sized piece , then length of each piece should be
[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]
[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]
Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]
A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)
Answer: (0.79, 3.05 )
Step-by-step explanation:
Confidence interval for the population mean:
[tex]\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
[tex]\sigma[/tex] = population standard deviation
n= sample size.
[tex]z^c[/tex] = Critical z value for confidence interval c.
As per given:
n= 10
[tex]\overline{x}=1.92[/tex]
[tex]\sigma=1.83[/tex]
Critical z-value for 95% confidence = 1.96
A 95% confidence interval for the mean opinion in the population of all licensed drivers:-
[tex]1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )[/tex]
Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)
18 - x = 15
Solve equation please
Answer:
3 is x
Step-by-step explanation:
Travis received a letter from his bank saying that his checking account balance fell
zero. His account transaction log is shown below.
On which line did Travis make a mathematical error?
CHECK NO.
PAYMENT
DEPOSIT
DATE
10/17
10/18
DESCRIPTION OF TRANSACTION
Beginning Balance
CBC Audio (Headphones)
BALANCE
$367.50
-62.00
1125
$62.00
$305.50
Line 1
1126
10/22
NY Sport (Basketball Shoes)
$87.00
-87.00
$218.50
Line 2
Debit
10/25
Gary's Country Market
$38.50
-38.50
$180.00
Line 3
1127
10/25
Iggy's Skate Shop (Skateboard)
$188.00
-188.00
$8.00
Line 4
10/25
Cash Deposit (Birthday Money)
$20.00
+20.00
$28.00
Lines
Debit
10/30
McDonuts
$5.95
-5.95
$22.05
Line 6
Answer:
on line 13, where it says 1125
Answer:
Line 3
Step-by-step explanation:
L1 1126 10/22 NY Sport (Basketball Shoes) $87.00 -87.00 $218.50
L2 Debit 10/25 Gary's Country Market $38.50 -38.50 $180.00
L3 1127 10/25 Iggy's Skate Shop (Skateboard) $188.00 -188.00 $8.00
L4 10/25 Cash Deposit (Birthday Money) $20.00 +20.00 $28.00
L5 Debit 10/30 McDonuts $5.95 -5.95 $22.05
The mistake is on line 3.
He subtracted $188 from $180 and got $8.
He should have gotten -$8 instead of $8.
A watercooler contains 160 cups of water. During practice, each person on a team fills a
water bottle with 3 1/3 cups of water from the cooler. Is there enough water for all 45
people on the team to fill their water bottles?
O yes
Ono
Determine the slope and y-intercept from the following equation
y = (32) x + 3
y intercept Y=3
I only know the y intercept have a good day
Find the slope of the line through the
given points: (2.5) & 4, 10).
Answer:
5
_
2
IS THE SLOPE OF (2,5) (4,10)
Answer:
Slope = 5/2
Step-by-step explanation:
10-5
4-2
Please help!! What Find the Error and explain why it is wrong!
Answer:
First image attached
The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].
Second image attached
The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]
Step-by-step explanation:
First image attached
The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. The real numerator in Step E should be:
[tex]3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x[/tex]
Hence, Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].
Second image attached
The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]
And further steps are described below:
Step D
[tex]x^{2}-x+4 = 0[/tex]
Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ([tex]a = 1[/tex], [tex]b = -1[/tex], [tex]c = 4[/tex])
[tex]D = b^{2}-4\cdot a\cdot c[/tex]
[tex]D = (-1)-4\cdot (1)\cdot (4)[/tex]
[tex]D = -17[/tex] (Conjugated complex roots)
Step E
[tex](x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0[/tex]
Step F
[tex]x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936[/tex]
To adopt a dog from a animal shelter, you must pay 08$ for vaccinations, 65$ to spray or neuter the dog, and 50$ for a wellness exam by a veterinarian
Answer:
ok, $65+$50+$8=123
Step-by-step explanation:
Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?
Answer:
y=−3x-5
Step-by-step explanation:
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y
y=−3x−5y
Which should be the first step in solving the equation 1.2 w minus 3.8 = 12.4? Add 3.8 to both sides of the equation. Subtract 1.2 from both sides of the equation. Multiply both sides of the equation by 1.2. Divide both sides of the equation by 3.8.
Answer:
Add 3.8 to both sides of the equation.
Step-by-step explanation:
12w−3.8=12.4
Add 3.8 to both sides.
12w=12.4+3.8
Add 12.4 and 3.8 to get 16.2.
12w=16.2
Divide both sides by 12.
w= 12/16.2
Expand 12/16.2 by multiplying both numerator and the denominator by 10.
w= 162/120
Reduce the fraction 162/120 to lowest terms by extracting and canceling out 6.
w= 27/20 also equal to 1.35
Answer:
A
Step-by-step explanation:
Plz Hurry This Is Timed
Answer:
2nd answer. it is because it is
Answer:
I believe the correct answer is the first one
Step-by-step explanation:
Her recipe calls for 120 ounces of salt water to every 10 ounces of seaweed to make one bottle of elixir.She wants to make smaller bottles of her elixir using only 1 ounce of seaweed per bottle.How many ounces of salt water will go into each of the smaller bottles?
Of the 1450 books in the library, there are 6 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Fiction: Nonfiction: Reference:
Number of books in non fiction section = 200
Number of books in fiction section = 800
Number of books in reference section = 850
Step-by-step explanation:
Total number of books in the library = 1850
Let us assume, number of books in non fiction section = m
Number of books in fiction section= 4 x Number of books in non fiction
= 4 x (m)
So, the number of books in reference section = 650 + m
Now, Total Number of books = Number of { Fiction + Non- Fiction + Reference} Books
or, 1850 = m + (4 m) + 650 + m
or, 6 m + 650 = 1850
⇒ 6 m = 1850 - 650 = 1200
or, m = 1200 / 6 = 200
⇒ m = 200
Hence, the number of books in non fiction section = 200
Number of books in fiction section = 4 m = 4 x 200 = 800
Number of books in reference section = 650 + m = 200 + 650 = 850
What is the slope of the line that passes through the points (2, -3) and (5, 1)?
1.-2/3
2.2/3
3.-4/3
4.4/3
Answer:
4/3
Step-by-step explanation:
To find the slope you use the equation y2 - y1 / x2 - x1. This means you take the y variable from your 1st point and subtract it from the y variable from the 2 one. ex: 1 - (-3) = 4 And then put it over the x variable from the first one subtracted from the x variable of the second one ex: 5 - 2 = 3 -> 4/3. If possible, simplify, but if it's like this one you don't have to.
What type of function can be used to determine side length of a square if the independent variable is the square's area?
a. Cubic
b. Linear
c. Quadratic
d. Square root
tools used to physically represent numbers
Answer:
The most frequently employed tools are traditional, which include physical ... These three tools can be used independently or conjointly, depending on the type of ... Learning tools can represent mathematical ideas in multiple ways, providing ... nature of concepts, such as numbers, thereby making them real and tangible,...
Step-by-step explanation:
The figure shows the letter M and four of its transformed images-A, B, C, and D:
2 3 4 5 6
MWM
Which of the four images was formed by a reflection of the letter M? (1 point)
OA
OB
Answer:
D
Step-by-step explanation:
HOPE THIS HELPS
HAVE A good DAY
PLEASE HELP!?!? What is the slope of the line graphed below?
(3, 3)
(0,-6)
m =
A.1/3
B. -3
C. 3
D. -1/3
Answer:
Option B is correct -3
Step-by-step explanation:
(3, 3)
(0,-6)
Slope=y1-y2/ x1-x2
=3+6/0-3
=9/-3
=-3
Slope is -3 so option B is correct
Answer: It’s -3, just did it
Step-by-step explanation:
On a tour of an gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1323.80 per ounce. How much is your nugget worth?
Answer:
$1085.516
Step-by-step explanation:
just multiply 1323.80 and 0.82
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF .
Prove ΔABC ≅ ΔGFE. (10 points)
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
Question 2: At a swimming pool the ratio of those wearing sunscreen to
those not wearing sunscreen was 7 to 5. If the number of people not
wearing sunscreen was 30 then which of the following was the number of
people who were wearing sunscreen? *
—————————-
25
36
38
42
Answer:
42
Step-by-step explanation:
Simplify the expression. .
2.3h( 6 – k)
Step by step please
Answer:
18h - 3hk
Step-by-step explanation:
3h(6 - k)
= 3h(6) + 3h(-k)
= 18h + -3hk
= 18h - 3hk
The simplified for of the expression 2.3h(6 - k) can be written as 13.8h - 2.3hk
Given the expression :
2.3h(6 - k)
Open the bracket ; multiply values in the bracket by 2.3h
13.8h - 2.3hk
Since there is no other way to reduce the expression further, then the simplified form of the expression would be expressed as 13.8h - 2.3hk
Learn more : https://brainly.com/question/18109354
Which equation is equivalent to n + 4 = 11? *
O (n + 4) x 2 = 11
O (n + 4) x 2 = 11 / 2
(n+ 4) x2 = 11 x 4
(n + 4) x 2 = 11 x 2
Answer: b.
Step-by-step explanation: I have the answer sheet
35,427 to nearest ten
Answer:
the answer is 35,430
Step-by-step explanation:
Find the number in the ten place 22 and look one place to the right for the rounding digit 77. Round up if this number is greater than or equal to 55 and round down if it is less than 55.
The LCM of 6 and 10 is _______. Numerical Answers Expected! Answer for Blank 1:
Answer:
2
Step-by-step explanation:
2 times 3 6
2 times 5 is 10
Answer:
30
Step-by-step explanation:
The LCM of 6 and 10 is 30.
HELP! THIS IS DUE TODAY AND ITS A TEST!
Jack needs 7.58 meters of wood to complete a school project. He buys a 2.25 meter plank of wood and a 3.12 meter plank of wood. How many more meters of wood does Jack need to buy for his school project?
Answer:
2.21
Step-by-step explanation:
Total meters of wood = 7.58
first time shopping: 2.25
second time shopping: 3.12
total = 2.25 + 3.12
total = 5.37
How many more meters of wood does Jack need to buy for his school project?
Meters needed = 7.58 - 5.37
Meters needed = 2.21
Please help ASAP!!! Christine found a sweater at Nordstrom that was priced at $72.00. She noticed there was a sign that said "All sweaters are 20% off today. How much was the sweater before tax?
a
$57.60
b
$96.40
c
$70.56
d
$56.70
Answer:
57.60
Step-by-step explanation:
72/100=0.72, 0.72x80=57.60
What is greater 1.036 1.306
Answer:
1.306
Step-by-step explanation:
1.3 is bigger than
1.03
Answer:
1.306 is greater
Step-by-step explanation:
In the ones place, the number one is equal for both numbers, so you move to the next number in the tenth place, which is .0 and .3 Three is greater than zero, which makes 1.306 greater than 1.036.