Answer:
if one gallon is 4.99, 20 gallons?
write a ratio to make it easier
gallon : price
1 4.99
20 x
cross multiply,
x = 20 × 4.99
x=99.8
(True/False) In an experimental study, participants are randomly allocated (by chance, rather than by choice), to two different experimental groups. The reason for randonmization is to reduce bias.
Answer:
TRUE
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
Formula for volume of hemisphere;
V = 2/3 * π * [tex]r^{3}[/tex]
π - pi, which is 3.14 or 22/7
r = radius (half of the diameter/ 1/2 x diameter)
Since we are given the diameter, we find 1/2 of the diameter to find the radius.
1/2 x 8.9(diameter)
8.9/2 = 4.45 is our radi.
So now, we plug in this value into our equation.
V = 2/3 * π * [tex]r^{3}[/tex]
V = 2/3 * 22/7 * 4.45^3
V = 2/3 * 22/7 * 88.12
V = 2/3 * 276.95
V = 184.63 cubic centimetres.
how do i use a model to tell whether the fractions are equivalent? numbers: 1/2 and 5/10 grade 4
Answer:
ok so 5/10ths is also 3/6ths or 2/4ths or 1/2
Step-by-step explanation:
Can someone explain on how to find this question please?
Answer:
∠ SOU = 138°
Step-by-step explanation:
the opposite angles of a tangent kite are supplementary, sum to 180° , so
∠ SOU + ∠ STU = 180° , that is
∠ SOU + 42° = 180° ( subtract 42° from both sides )
∠ SOU = 138°
PLEASE HELP!
Solve for q.
8/10 = 10/q
q =
q = 12.5
hope it helps..!!!
Answer:
12.5
Step-by-step explanation:
u dont need it lol
Urgent!!! Need help Please!!
Find the area of the triangle.
a. 620 sq. m b. 270 sq. m c. 540 sq. m d. 980 sq. m
Answer:
270 sq. m [b]
Step-by-step explanation:
So the area of a triangle is 1/2 bh (1/2 of base x height).
The base of the triangle shown is 20m. The height is 27m.
(1/2) (20)(27) = 270.
The area of this triangle is 270 sq. m (b)
Helppp meee please this one confuses me
[tex] = (3x + 2)(x + 1) \\ = 3x(x + 1) + 2(x + 1) \\ = {3x}^{2} + 3x + 2x + 2 \\ = {3x}^{2} + 5x + 2[/tex]
please help me out with these two problems
find X and Y
Answer:
Step-by-step explanation:
I'll work on the left triangle first:
tan 20 = x /10
x = 10tan 20 = 3.64
cos 20 = 10/y
y = 10/cos20 = 10.64.
tan 70 = 12/x
x = 12/tan 70 = 4.37.
sin 70 = 12/y
y = 12/sin70 = 12.77.
If the circumference of a circle is 15 pie inches, then what is its diameter
Answer:
diameter is half the value of circumference 15/2 =7.5 diameter
what is the measurement of DA (parallelogram)
obcjkaosicabkajiuhcabaca
Which interval on the graph could be described as linear constant?
A
B
C
D
Please help me with this please and thank you
Answer:
Alright so the answer is B but I'll explain why because im nice ig.
Step-by-step explanation:
So lets do some calcumalations.
We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.
So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.
3(4)^1-1 = 3(1); that's the answer
4^1-1 = 1, + 3 = 4 so that wont work either
I hope this helps ya have a great afternoon
A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find sin M, tan M, and cos M.
Answer:
sin M = [tex]\frac{12}{13}[/tex], tan M = [tex]\frac{12}{5}[/tex], cos M = [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
The sine of an angle is equal to [tex]\frac{opposite}{hypotenuse}[/tex]. The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.
The tangent of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex]. The opposite side is 12 and the adjacent (next to the angle) side is 5.
The cosine of an angle is equal to [tex]\frac{adjacent}{hypotenuse}[/tex]. The adjacent (next to the angle) side is 5 and the hypotenuse is 13.
Which of the following lists 3/6, 112, 15/18 in order from least to greatest?
Answer:
3/6 ⇒ 9/12⇒ 15/18
Step-by-step explanation:
To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..
3/6 = 0.5
15/18 = 0.83333333333
9/12= 0.75
Hence from least to greatest:
0.5,0.75, 0.83333333333
Also know as:
3/6,9/12,15/18
~lenvy~
Answer:
Order 3/6, 9/12, and 15/18 from least to greatest.
Keep in mind, there are multiple ways into finding the answer to this question.First, we must simplify these fractions as much as possible then find a possible common denominator.
3/6 simplifies to 1/2
9/12 simplifies to 3/4
15/18 simplifies to 5/6
Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).
If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;
1/2 x 6/6 = 6/12
3/4 x 3/3 = 9/12
5/6 x 2/2 = 10/12.
So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).
These are already ordered from least to greatest.
So therefore, this'll be ordered;
3/6, 9/12, and 15/18.
Error Analysis Your friend says that the volume of this sphere is 44.58
m3. Find the correct volume, using 3.14 for r. What mistake might your
friend have made?
Answer:
the given dimension was used as the radius5.57 m³Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
__
The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
__
The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
Find the number if 2 1/2 of it is 15
(please help)
[tex]2.5x = 15[/tex]
[tex]x = \frac{15}{2.5} = 6[/tex]
Answer:
or Also
[tex] \frac{5}{2} x = 15 \\ 5x = 15 \times 2 \\ 5x = 30 \\ 5x \div 5 = 30 \div 5 \\ x = 6[/tex]
Five widgets and three gadgets cost $109. 90.
One widget and four gadgets cost $75. 70.
How much does one gadget cost?
Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
Five widgets and three gadgets cost $109. 90⇒ 5w + 3g = 109.9
Given:
One widget and four gadgets cost $75. 70⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
Please help me with this equation, add process too. Thanks
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: - 0.6(m + 1) = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 3 \div 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m - 1= 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 5 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: m = - 6[/tex]
I hope it helps ~
A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How long would it take a giant tortoise to travel 5 meters?
Answer:
50 seconds
Step-by-step explanation:
because 5÷0.1=50 50×1sec=50 seconds
Please help!
what polynomial must be added to
−5x^3 + 4x − 3 so that the sum is x^2 − x − 1?
Let the number to be added be A
Now,
[tex]\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered} [/tex]
Transposing (−5x³+ 4x − 3 ) to other side-
[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered} [/tex]
Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket
[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered} [/tex]
Putting like terms together -
[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1
The swimming pool shown below has a 6 foot wide concrete deck around it.
What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232
Answer:
0864
Step-by-step explanation:
The answer is 0864.
Hope it helps!
Study well!
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
*HELP ASAP I WILL GIVE U BRAINLEAST* (20 POINTS)
You have inherited $8000 from your grandfather. Knowing that you will soon be going to college you decide to invest your money into an account that has an 8% interest rate that is compounded quarterly. How much money will you have in your account after 5 years?
a) Exponential growth or decay:
b) Identify the initial amount:
c) Identify the growth/decay factor:
d) Write an exponential function to model the situation:
e) “Do” the problem:
Answer:
a) exponential growth b) 8000 c) 1.02 d) f(x) = 8000(1+.05/4)^(4)(5) e) $11887.58
Step-by-step explanation:
This situation is exponential growth because the money will be increasing over time. The initial amount is the amount invested in the beginning so in this case 8000. The growth factor is found by 1+r/n where r is the rate and n is the number of compounds per year so 1 + .08/4 where the r is expressed as a decimal and compounding quarterly means 4 times per year. The function is modeled by f(x) = P(1 +r/n)^nt. Evaluating the function gives f(x) = 8000(1 + .08/4)^(4*5).
If there are 40% of girls and 250 are boys, find
(i) the total number of students
(ii) the number of girls.
Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
[tex]Total * 0.6 = 250[/tex].
[tex]Total = 250/0.6[/tex]
[tex]Total = 417[/tex]
There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.
[tex]417 * 0.4 = 167[/tex]
There are 167 students that are girls.
Order these numbers from least to greatest
Answer:
1. -39/50
2. -0.77777
3. square root of 92
4. 9.73
Which graph shows the line of best fit for the data ?
The number of visitors p to a website in a given week over 1-year period is given by p(t)=119+(t-83)e^0.02t , where t is the week and t is greater than or equal 1 and less then or equal 52.a)over what interval of time during the 1-year period is the number of visitors decreasing?b)over what interval of time during the 1-year period is the number of visitors increasing?c)find the critical point, and interpret its meaning.
The function p(t) for the number of visitors over 1-year is an exponential function
The increasing interval is: [33,52]The decreasing interval is: [0, 33]There is no critical pointThe increasing and the decreasing intervalThe function is given as:
p(t) = 119 + (t-83)e^0.02t
Start by plotting the graph of the function p(t).
From the graph (see attachment), we have the parameters to be:
Increasing: [33,52]Decreasing: [0, 33]Critical point = NoneHence, the function has no critical point
Read mroe about critical points at:
https://brainly.com/question/7805334
what ratios are equivalent to 4/11
Answer:
Here!!
Step-by-step explanation:
Here are a few ratios that are equivalent to 4 : 11 . . . . .
8 : 22
12 : 33
20 : 55
400 : 1100
308 : 847
4 billion : 11 billion
Part A: The area of a square is (16a² - 24a + 9) square units. Determine the length of each side of the square by factoring the area expression completely Show your work
Part B: The area of a rectangle is (9a² - 25b²) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
A:
16a^2-24a+9
16a^2-12a-12a+9
4a(4a-3)-3(4a-3)
(4a-3)(4a-3)
(4a-3)^2
(4a-3)^2
B: Use difference of squares method
(3a+5b)(3a−5b)
Part A: The length of each side of the square is (4a - 3) units.
Part B: The dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
Part A:
The area of a square is given by the formula A = s^2, where "s" is the length of each side of the square. In this case, the area is (16a² - 24a + 9) square units.
To determine the length of each side of the square, we need to factor the area expression completely and set it equal to (s^2).
The area expression is a quadratic trinomial: 16a² - 24a + 9.
To factor the trinomial, we look for two binomials that, when multiplied together, give us the original trinomial. The binomials will have the form: (ma ± b)(na ± c).
To factor 16a² - 24a + 9, we look for two numbers whose product is 16 * 9 = 144, and whose sum is -24 (the middle coefficient).
The two numbers are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.
Now, rewrite the middle term (-24a) using -12a - 12a:
16a² - 12a - 12a + 9
Group the terms and factor by grouping:
(16a² - 12a) - (12a - 9)
Now, factor out the greatest common factor (GCF) from each group:
4a(4a - 3) - 3(4a - 3)
Now, notice that we have a common binomial factor of (4a - 3):
(4a - 3)(4a - 3)
Since both binomials are the same, we can rewrite it as (4a - 3)^2.
Now, set (4a - 3)^2 equal to (s^2):
(4a - 3)^2 = s^2
To find the length of each side (s), take the square root of both sides:
√((4a - 3)^2) = √(s^2)
4a - 3 = s
Therefore, the length of each side of the square is (4a - 3) units.
Part B:
The area of a rectangle is given by the formula A = length * width. In this case, the area is (9a² - 25b²) square units.
To determine the dimensions of the rectangle, we need to factor the area expression completely and identify the length and width.
The area expression is a difference of squares: 9a² - 25b².
To factor a difference of squares, we use the formula: a² - b² = (a + b)(a - b).
In this case, a = 3a and b = 5b:
9a² - 25b² = (3a + 5b)(3a - 5b)
Therefore, the dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
To know more about square:
https://brainly.com/question/14790824
#SPJ2
What is the area of this trapezoid?
Answer:
(b1+b2)h divided by 2 is the formula for a trapezoid
Step-by-step explanation:
ANSWER: 468 ft (squared?)