Answer:
Volume = 12 ft^3
Step-by-step explanation:
Vol = length×width×height
= 3×4×1
= 12
The volume is 12 cubic feet.
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
$73.5
Step-by-step explanation:
*1.05 interest every year
so all you have to do is 70*1.05=73.5
Answer: $73.5
Step-by-step explanation:
Marcy makes 15 of 20 free throws at basketball practice. What is the probability that she will miss her free throw? Possible answers are A. 1/2 B. 3/4 C.2/5. D. 1/4
Answer:
D. 1/4
Step-by-step explanation:
You want to know the probability Marcy will miss a free throw, given that she makes 15 of 20.
ProbabilityWe assume Marcy's record at practice is typical of her performance. It tells us that she makes 15/20 = 3/4 of the free throws she takes. That means she misses 1 -3/4 = 1/4 of the free throws.
The probability she will miss her free throw is 1/4.
__
Additional comment
Many assumptions are involved in this calculation. One of them is that her next throw is unaffected by her last throw. It is a rare player for whom that is the case.
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A home is purchased for $75,000, and remodelled spending $35,000. five years later, the home is sold for $160,000. what is the capital gain/loss, and at what percent of profit/loss?
Answer:
31.2%
Step-by-step explanation:
75000+35000 = 110000
160000 - 110000 = 50000
50000 ÷ 160000 = 0.312
0.312 x 100 = 31.2 %
How many solutions does the following equation have? 3(2x−4) =2(3x−6)
Answer:
Infinitely many solutions
Step-by-step explanation:
Equations can either have no solutions, one solution, or infinitely many solutions.
Examples:
No solutions: 2 = 6One solution: x = 2Infinitely many solutions: 2 = 2Given: 3(2x − 4) = 2(3x − 6)
Distribute:
3(2x − 4) = 2(3x − 6)
3(2x) + 3(−4) = 2(3x) + 2(−6)
6x − 12 = 6x − 12
As both sides of the equation are identical, this equation has an infinite number of solutions.
Learn more here:
https://brainly.com/question/25326244
question 6. evaluate the expression
[tex]|-24 \div 2^2|\\\\\\=\left|-24 \times \dfrac 1{2^2} \right|\\\\\\=\left|-\dfrac{24}4\right|\\ \\\\=|-6|\\\\\\=6[/tex]
3[(x^3 -7x+1) - (x+4)]
О А. 3х³ - 24х-9
О B. х-8х-3
0 С. 3x²-5x-6
O D. 3x²-6x+15
Answer:
A
Step-by-step explanation:
You have to simplify the brackets in turn.
3 times x^3- 7x+1 = 3x^3- 21x+ 3
then do 3 times x + 4= 3x + 12
you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.
So it goes to 3x^3- 24x - 9,
this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.
I hope this helps, have a lovely day.
& this one, please and thank you!!
[tex]\text{Given that,} ~ p(x) = x^2 -5~ \text{and}~ h(x) = \sqrt{x+5}\\\\(p\circ h)(x)\\\\=p(h(x))\\\\=p\left( \sqrt{x+5} \right)\\\\=\left( \sqrt{x+5} \right)^2 -5\\\\=x +5-5\\\\=x[/tex]
PLEASE HELP ME WITH THIS QUESTION ASAP!!!
How are monomials multiplied by binomials and trinomials?
explain how its false
Answer:
No
Step-by-step explanation:
An exponent signifies the number of times the base is a factor in the product. When products involving the same base are multiplied, the total number of factors is the sum of the number in each of those products.
__
[tex]5^2=5\cdot5\\\\5^9=5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\\\\5^2\cdot5^9=(5\cdot5)\cdot(5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5)=5^{11}[/tex]
The base of the exponent in the product is the value that is a repeated factor. It is 5, not (5·5).
Your friend is not correct.
__
The general rule for exponents is ...
(a^b)(a^c) = a^(b+c)
the dimensions of a rectangle can be represented by the expressions (x+7) and (x-3). if the area of the rectangle is 75 square feet, find the value of x.
Answer:
Step-by-step explanation:
Area of rectangle is b*h
so
a = (x-3)(x+7)
75 = (x-3)(x+7)
75 = x²+4x-21
0 = x²+4x-96
(x+12)(x-8)=0
x = -12, or x = 8
Solve this problem! Thank you! (Math *)
Answer:
9
Step-by-step explanation:
Do the powers
Then the bracket
Then x or ÷
And then + or -
Which is the correct solution to ‐3x<21?
Answer:
Top right
Step-by-step explanation:
When mult/dividing by a negative number, the sign always flips.
Given the function f(x) = 3|x – 2| 6, for what values of x is f(x) = 18?
The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2
How to determine the value of x?The function is given as:
f(x) = 3|x - 2| + 6
The value of f(x) is
f(x) = 18
So, we have:
3|x - 2| + 6 = 18
Subtract 6 from both sides
3|x - 2| = 12
Divide both sides by 3
|x - 2| = 4
Remove the absolute bracket
x - 2 = 4 or x - 2 = -4
Add 2 to both sides
x = 6 or x = -2
Hence, the values of x are 6 and -2
Read more about absolute values at:
https://brainly.com/question/729268
#SPJ4
Write the inequality given in the diagram below
Step-by-step explanation:
it's either 3 or 2 probably
find the value of a in this fig.
Step-by-step explanation:
[tex]1.a + 27 = 90 \: \: (complementary \: angles = 90) \\ a = 90 - 27 \\ a = 63degrees \\ 2. \: x + 101 + 109 + 90= 360 \: (revolution \: angles = 360) \\ x = 360 - (101) - (109) - (90) \\ x = 60degrees \\ 3. \: a + 85 = 180 \: (angles \: on \: str \: line = 180) \\ a = 180 - 85 \\ a = 95degrees \\ b = 85 \: (vertically \: opp \: angle) \\ c = 95 \: (vertically \: opp \: angle)[/tex]
A student earned a grade of 70% on a math test that had 20 problems. How many problems on this test did the student answer correctly? ( round to the nearest whole number)
Answer:
14
Step-by-step explanation:
Given:
A student earned a grade of 70% on a math test that had 20 problems.
To Find:
How many problems on this test did the student answer correctly? ( round to the nearest whole number)
Solve:
When I solve these question I have a formula.
Which is
Number of question correctly ÷ Total × 100
Thus,
1/20 × 100 = 5%
2/20 × 100 = 10%
3/20 × 100 = 15%
4/20 × 100 = 20%
5/20 × 100 = 25%
6/20 × 100 = 30%
7/20 × 100 = 35%
8/20 × 100 = 40%
9/20 × 100 = 45%
10/20 × 100 = 50%
11/20 × 100 = 55%
12/20 × 100 = 60%
13/20 × 100 = 65%
14/20 × 100 = 70%
15/20 × 100 = 75%
16/20 × 100 = 80%
17/20 × 100 = 85%
18/20 × 100 = 90%
19/20 × 100 = 95%
20/20 × 100 = 100%
As you can see that 14/20 × 100 = 70%
Hence, the student answer 14 question correct.
Kavinsky
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 2.8
B) 6.5
C) 4.7
D) 8.2
Answer: B) 6.5
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.
a² + b² = c²
3.6² + b² = 7.4²
12.96 + b² = 54.76
b² = 41.8
b = [tex]\sqrt{41.8}[/tex]
b ≈ 6.5
The length of the missing side is about B) 6.5.
Answer:
B)6.5
Step-by-step explanation:
H²=P²+B²
7.4²=3.6²+B²
B=√41.8
B=6.465≈ 6.5
Find the distance between the points given below. Round your answer to the nearest tenth.
A (0,6) and B (-3,-1)
Answer:
7.6
Step-by-step explanation:
We want to find the distance between (0,6) and (-3,-1)
We can find the distance between any two points using the distance formula
Distance between two points =
[tex] \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } [/tex]
Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)
Here the two points are (0,6) and (-3,-1)
So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6
And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1
Now we plug in the values of x and y into the formula and evaluate to get the distance.
Again recall distance = √(x2-x1)²+(y2-y1)²
==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6
Distance = √(-3-0)²+(-1-6)
==> evaluate operations inside of parenthesis
Distance = √(-3)²+(-7)²
==> evaluate all exponents
Distance = √9+49
==> and 9 and 49
Distance = √58 = 7.6 (rounded)
a bus left town X at 6:30 and arrived at town Y at 1:00pm if the bus travelled 100km per hour calculate the distance from town X and Y
The product of two integers is -160 if one of them is 8 find the other
Hey ! there
Answer:
Other number is -20Step-by-step explanation:
In this question we are given that the product of two integers is -160 and one of them is 8 . And we are asked to find the other integer .
For finding the other integer we are assuming ,
Other integer as ' x 'And now we can find other Integer by making equation and solving it .
SOLUTION : -
Equation is :
[tex] \quad \dashrightarrow \qquad \: 8 \times x = - 160[/tex]
or ,
[tex] \quad \dashrightarrow \qquad \: 8x = - 160[/tex]
To isolate the variable x , We are dividing both sides by 8 :
[tex] \quad \dashrightarrow \qquad \: \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{ \dfrac{ - 160}{8} }[/tex]
On simplifying it , We get :
[tex] \quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar[/tex]
Henceforth , the other integer is ❝ -20 ❞.Verifying : -
Now we are verifying whether our answer is wrong or right by substituting value of x in the equation . So ,
[tex]8 \times x = - 160[/tex]Substituting value of x :
[tex]8 \times - 20 = - 160[/tex]Multiplying 8 with - 20 :
[tex] - 160 = - 160[/tex][tex] \rm{L.H.S = R.H.S}[/tex][tex] \rm{Hence , Verified .}[/tex]Therefore , of answer is correct .
#Keep LearningAnswer:
The other integer is -20[tex] \: [/tex]
Step-by-step explanation:
[tex] \: [/tex]
Given,
The product of two integers is -160.One of the integers is 8[tex] \: [/tex]
To Find,
The other integer.[tex] \: [/tex]
Solution,
Let us assume the other integer as x[tex] \: [/tex]
So, The equation will be :
[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{x \times 8= - 160}}}}} \\ \: \: [/tex]
[tex] \longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \: [/tex]
Now, Let us divide both sides by 8 :
[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{ \frac{8x}{8} = \frac{ - 160}{8} }}}}} \\ \: \: [/tex]
[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\ [/tex]
Therefore,
The other integer is -20PLEASE HELP WILL GIVE BRAINLEST!
Answer: The graph with green line is the graph showing a 1 radian angle in a standard position.
Step-by-step explanation:
Hope it helps you:)))))))
Have a good day
Dave loves underwater diving. His house boat is 250 feet above sea level. He jumped from that level. He went 600 feet below sea level. How many feet did Dave go under the water?
Answer:
600 feetStep-by-step explanation:
I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)
With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.
From the bird to the water it is 150 feet, from water to fish is 100 feet
From the bird to the fish it is 150 feet + 100 feet
This is equal to 250 feet,so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).
Knowing this information we can easily answer this questionDave is 250 feet above sea level, and he went 600 feet nelow sea level, meaning he only went 600 feet under the water.Which of the following statements could be translated to the equation n - 5 = -2?
- A number less than five equals negative two.
- The difference between a number and five is negative two.
- If five is subtracted from a number, the result is two.
- Five less a number is equal to two.
Answer:
B.Step-by-step explanation:
We know that:
n - 5 = -2We also know:
A number that replaces the n value is less than 5.Here are the answers verified:
A. False. I don't know if it makes sense.B. Correct. The difference also means subtraction.C. False. I don't know if it makes sense.D. False. I don't know if it makes sense.The correct option is B.
Write an equation for the line that has a slope of -2/3 and goes through the point (-6,8)
Answer:
The solution is in the image
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
the equation of a line is given by the formula y = mx + b where m is the slope and b is the y intercept.
so,
y = (-2/3)x + b
to find b we plug in the values of x and y given by the point (-6,8)
8 = 4 + b
b = 4
so y = (-2/3)x + 4
PLEASE HELP!!! This is due today and i dont understand
5
——
——
i need help!!
————-
math geniuses pls help me!
Answer:
C
Step-by-step explanation:
x = 7 cos (2pi/3) y = 7 sin (2pi/3)
x = -7/2 y = 7 sqrt(3) /2
What does perserverance mean to you? What's a goal of yours that you'll fight to achieve?
Answer:
Doing something despite difficulty or delay in achieving success.
Step-by-step explanation:
Answer:
continued effort to do or achieve something despite difficulties, failure, or opposition
Step-by-step explanation:
simplify √(x^2-10x+25) if -5≤x<5
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 5x - 5x + 25 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x- 5) - 5(x - 5) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) (x - 5) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: (x- 5) [/tex]
value x lies between :
[tex]\qquad \sf \dashrightarrow \: - 5 \leqslant x \leqslant 5[/tex]
if the value of x is taken -5
[tex]\qquad \sf \dashrightarrow \: - 5 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - 10[/tex]
if value of x is taken as 5
[tex]\qquad \sf \dashrightarrow \:5 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
So, the possible values of the required expression lies between ~
[tex]\qquad \sf \dashrightarrow \: - 10 \leqslant \sqrt{ {x}^{2} - 10x + 25 } < 0[/tex]
I hope you understood the whole procedure. let me know if you have any doubts in given steps ~
30 Points if you answer thanks
Answer:
Step-by-step explanation:
Answer:
ok this is pretty simble you just have to subtract the bottom exponents from the top so
3-2=1
2-2=0
a^1=a
a
Hope This Helps!!!
− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece
Answer:
-1/2
Step-by-step explanation:
it has to be a negative number since
every other number is negative
its a fraction since the numbers are decreasing
96 divided by 48 is 2
so the number being multiplied or ration must be -1/2