Answer:
102cm^3
Step-by-step explanation:
v=l×w×h
10x6x7=420 cm^3
the volume of water+stone=
10×6×(7+1.7)
522cm^3
522-420= 102cm^3
The solution is: the volume of the stone is : 102cm^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
Given that,
A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 1.7 cm.
We know that,
volume is :
v=l×w×h
so, we get,
10x6x7=420 cm^3
the volume of water+stone=
10×6×(7+1.7)
522cm^3
522-420= 102cm^3.
Hence, The solution is: the volume of the stone is : 102cm^3.
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(2x-7)(5x+75)=0
Solve this using factoring, what are the two x’s?
Note : a × b = 0 ==》 a = 0 Or b = 0
_________________________________
( 2x - 7 )( 5x + 75 ) = 0
2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2
===》 x = 3.5
Or
5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5
==》x = - 15
Step-by-step explanation:
(2x-7)(5x+75)=0
2x(5x+75) -7 (5x+75)=0
10x^2 + 150x - 35x - 525 =0
10x^2 + 115x - 525 =0
5(2x^2 + 23x - 105 ) =0
2x^2 +30x-7x - 105 =0
2x ( x + 15 ) -7 ( x + 15) = 0
(2x-7) (x + 15) =0
so, 2x-7=0 and x+15 =0
x = 7/2 and x = -15
#cancelicseboardexam2021
Solve the system using elimination show all work for full credit.
X + 3y = -14
4x - 3y = 2
Help me
x = −12/5 and y = −58/15
Step-by-step explanation:
x+3y=−14
4x−3y=2
Add these equations to eliminate y:
5x = −12
Then solve 5x = −12 for x:
5x = −12
5x/5 = −12/5 (Divide both sides by 5)
x = −12/5
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
x + 3y = −14
Substitute −12/5 for x in x + 3y = −14:
−12/5 + 3y = −14
3y + −12/5 = −14
(Simplify both sides of the equation)
3y + −12/5 + 12/5 = −14 + 12/5
(Add 12/5 to both sides)
3y = −58/5
3y/3 = −58/5/3
(Divide both sides by 3)
y = −58/15
identify the arc length of TV◠ in terms of π.
Answer:
3.67
Step-by-step explanation:
Joel walked of a mile to the store, 1. of a mile to the library,
and 2 of a mile to the post office. How far did he walk??
Answer:
4 miles?
Step-by-step explanation:
Answer:
3 miles
Step-by-step explanation:
2+1=3
Simplify the ratio 154:132 in its simplest form
Answer:
The simplified ratio is 7:6
Step-by-step explanation:
First we have to find the GCF of both 154 and 132. Since the GCF is 22, we will divide 154 by 22 and we get 7. Now divide 132 by 22 and we get 6. Therefore, the simplest form or the ratio 154:132 is 7:6.
Philip use 40% off coupon on a single item in the craft store which saved him $16.42 what would the item have cost if he had not use the coupons?
Answer:
$41.05
Step-by-step explanation:
[tex]\frac{40}{100} =\frac{16.42}{x}[/tex]
[tex]40x=1642[/tex]
[tex]x=41.05[/tex]
So, the original price is $41.05.
i want derivative for (x+1)^2×e^x
please help
Answer:
(x + 1)(x + 3)eˣ
Step-by-step explanation:
Since f(x) = (x + 1)²eˣ
df(x)/dx = d[(x + 1)²eˣ]/dx
By the product rule, duv/dx = udv/dx + vdu/dx
where u = (x + 1)² and v = eˣ
So, df(x)/dx = d[(x + 1)²eˣ]/dx
= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx
= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx (by the chain-rule dy/dx = dy/du × du/dx)
= (x + 1)²eˣ + eˣ[2(x + 1) × 1]
= (x + 1)²eˣ + 2eˣ(x + 1)
= (x + 1)eˣ(x + 1 + 2)
= (x + 1)eˣ(x + 3)
= (x + 1)(x + 3)eˣ
Which of the following does a rigid motion preserve?
A. Side lengths only
B. Angle measures only
C. Side lengths and angle measure
D. Neither side lengths nor angle measures
Answer:
c
Step-by-step explanation:
In the phrase "rise over the run", what does rise indicate?
Group of answer choices
The difference in y coordinates between two points on a line.
The difference x coordinates between two points on a line.
The difference between the x intercept of a line and the y intercept of a line.
The difference between a line's slope and its length
Tommy's salary increases by 4% each year. This year, Tommy's salaray was $42,250. How much will her salary be in 7 years?
**Simplify ALL of the way and round to the NEAREST whole number**
Answer:
$295,750
Step-by-step explanation:
Given
Tommy's salary increases by 4% each year.
Increase to 4%
1 year = $42,250
7 years = $?
To find
So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.
Set up.
1/42250 x 7/x =
295,750
Therefore, Tommy's salary be in $295,750 7 years.
Which expression is equivalent to 36a-12b?
3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)
Answer:
6(6a-2b)
Step-by-step explanation:
Answer:
6(6a-2b)
Step-by-step explanation:
if you multiply the 6 by what's in parenthesis you get 36a-12b
Which equation would demonstrate the identity property? A. (3 • 4) + (3 • 5) = 3(4 + 5) B. 3 • 5 = 5 • 3 C. 3 • 4 • 5 = (3• 4) • 5 D. 4 • 1 = 4
Answer:
D. 4 • 1 = 4
Step-by-step explanation:
In Mathematics, we have two kinds of Identity property
a) Identity property of Addition
This means that when you add a number to zero, it gives you that same number
Example: 6 + 0 = 6
b) Identity property of Multiplication,
This means that, when a number is multiplied by 1, it gives that same number.
Example: 8 × 1 = 8
Therefore, from the above question, the equation that demonstrates identity property is 4 • 1 = 4
Option D is the correct answe
1/4 + 7/16 =??
Help me please
Answer:
4+7/16
Answer is 11/16
Step-by-step explanation:
Transform the expression then calculate
Answer:
11/16
Step-by-step explanation:
First- make sure they have the same denominator (the number located at the bottom)
(the denominator is the least common multiple (LCM) or essentially where the numbers meet up)
^ 4 and 16 meets up at 16.
^7/16 already has 16 as the denominator, however 1/4 does not.
Therefore-
1/4 * 4/4 + 7/16 * 1/1
^ 4/16 + 7/16
(they have the same denominator, therefore when you add you DO NOT change the denominator)
4+7 is 11- and you keep the denominator
11/16 is a number which you can NOT simplify.
Therefore ^ 11/16 is your answer
(b) 3, 3, 5 and
HOMEWORK: Complete the activity in your classwork e
the questions before you consult the memorandum att
ACTIVITY 1:
x
.) Find all the prime factors of each of the following
a) 825
(b) 999
-) 538
(d) 113
Answer:
a 3,5,5,11
b 3,3,37,3
- 2,269
d 113, as it is a prime factor
simplify 4^3 x 4^5 a. 16x15 b. 16^8 c. 4^15 d. 4^8
Answer:
4^8
Step-by-step explanation:
4^3 x 4^5 = 4^3+5 = 4^8 = 65536
Find the absolute extrema of the given function: f(x)=x^4 − 3x^2 + 4, on the interval [−1,1]
Answer:
The absolute maximum is 4, and the absolute minimum is 2.
Step-by-step explanation:
We are given the function:
[tex]f(x)=x^4-3x^2+4[/tex]
And we want to find the absolute extrema of the function on the interval [-1, 1].
So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:
[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]
And:
[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]
Our endpoints are (-1, 2) and (1, 2).
Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:
[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]
Differentiate:
[tex]f'(x)=4x^3-6x[/tex]
Set the function equal to 0:
[tex]0=4x^3-6x[/tex]
Solve for x. Factor:
[tex]2x(2x^2-3)=0[/tex]
Zero Product Property:
[tex]2x=0\text{ or } 2x^2-3=0[/tex]
Solve for each case. Therefore:
[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]
The second case is outside of our interval. So we can ignore it.
Evaluate the function at x = 0:
[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]
Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.
the local market is selling a pound of bananas for $0.55. if you bought 8 bananas for $1.44, what is the unit rate?
Answer:
$0.18
Step-by-step explanation:
Given that :
Number of bananas purchased = 8
Cost at which the 8 bananas were purchased = $1.44
The unit price of bananas can be obtained using the relation :
Total Cost of bananas / number of bananas
Unit price = $1.44 / 8
Unit price = $0.18
Price per unit of banana = $0.18
Consider the barn shown below. Assume that the barn has no floor. Part A: What is the volume of the barn?Part B: What is the surface area of the barn?
Offering 20 brain pts!!!
Answer:
the volume is Pie X Y^-3= 6 + 7/2 which means the surface area is half of Pie/12
Step-by-step explanation:
i don't know there's no picture
Brianna wants to know how many internet-compatible devices are owned, on
average, by people in her town. Can she use her sample data to form a valid inference
about the town? Explain.
Answer:Who is BRIANNA
Step-by-step explanation:
The values of several terms in a sequence are shown in the table.
Second=5
Fourth=12
Seventh=22.5
Find the first term, f (1).
Answer:
1.5
Step-by-step explanation:
You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.
HeLp! the question is on the picture.
Answer:
sin ∅ = 24/25
Step-by-step explanation:
These are the trigonometric ratios
Remember SOHCAHTOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
We are asked to find sin ∅
The trig function sin = opposite over hypotenuse
so we need to find the opposite side length of the indicated angle (∅)
The opposite side length is equal to 24
Then we find the hypotenuse ( the longest side length ) which would be 25
so sin ∅ = 24/25
B
✓97
B
4
6°
A
9
С
Select all true statements:
A) sin (©) = Vo
| B) tan (8) = 3
| C) tan (8) =
D) cos(B) = to
E) 42 +92 = 97
Answer:
I need help with the answer as well
Step-by-step explanation:
Write a congruence statement for the angles and/or sides that are given. State what additional information is required in order to know what the triangle are congruent for the given reason. WILL MARK BRIANLIEST !!!!!!!!! HELPP !!!
Step-by-step explanation:
Required information to prove the triangles are congruent:
AB=FE
Then you can say they are congruent by SAS
6. CHALLENGE How many sides does a
regular polygon have if the measure of
an interior angle is 171°?
Answer:
40
Step-by-step explanation:
It is given that the measure of interior angle of a polygon is 171∘ . So, the correct answer is “ 40 ”.
Jasmine bought a ticket to the Jets game. She got a 25 % 25% discount on her ticket but then had to pay a 10 % 10% service fee on the discounted price. Jasmine’s final ticket price was what percent of the original ticket price?
Answer:
15%
Step-by-step explanation:
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set?
The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.
How to find the least and greatest weight?The weight of the potatoes are:
1/4 = 0.253/8 = 0.3755/8 = 0.6251/2 = 0.53/4 = 0.751/8 = 0.125Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125
The greatest weight of the potatoes is 3/4 equivalent to 0.75
Learn more about fractions:
https://brainly.com/question/1622425
If a and B are angles which tan a= 3/4 and cos B= 8/17. Determine the exact value of cos(a-B)
Answer:Life table of males at age 30. Probability of dying between ages x and x+1
total population:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061
males:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448
white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037
white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399
non Hispanic white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116
non Hispanic white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503
Jacob, non Hispanic white male. 30 years old.
Probability that Jacob lives to be 30 years old.
Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.
Probability of living to be 30 y.o.
29 - 30 : 1 - 0.001477 = 0.998523
30 - 31 : 1 - 0.001503 = 0.998497
Step-by-step explanation:
Life table of males at age 30. Probability of dying between ages x and x+1
total population:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061
males:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448
white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037
white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399
non Hispanic white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116
non Hispanic white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503
Jacob, non Hispanic white male. 30 years old.
Probability that Jacob lives to be 30 years old.
Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.
Probability of living to be 30 y.o.
29 - 30 : 1 - 0.001477 = 0.998523
30 - 31 : 1 - 0.001503 = 0.998497
Ariana just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 12 weeks, how many total miles would Ariana have run, to the nearest whole number?
Answer: sarah ran 150 miles in 12 weeks
Step-by-step explanation:
I also need to know what m∠cdb is
Answer:
x = 4
m<cdb = 82
Step-by-step explanation:
The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:
7x + 2 + 17x = 98
24x + 2 = 98
24x = 96
x = 4
m<cdb =
y + 98 = 180
y = 180 - 98
y = 82
Julie's gross pay is $1,008.71. Her deductions total of $386.00 what is her net pay?
Answer:
i believe it is 622.71 im not sure tho
Step-by-step explanation:
Answer:
$622.71
Step-by-step explanation:
Net Pay = Gross Pay - Deductions
Net Pay = $1,008.71 - $386.00
Net Pay = $622.71
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