Answer: A
Step-by-step explanation:
First, we know that each set has 20 kL, 20 L, and 20 ml. To know if they are in the order from greatest to least, we should make sure all three have the same units. Once we do, we can put them in order.
20 kL=20000 L
20 mL=0.02 L
20 L=20L
Now that we have made sure the units are all the same, we know that 20 kL is the greatest and 20 mL is the smallest. The final order is 20 kL, 20 L, 20 mL.
Answer:
y
Step-by-step explanation:
Which of the following is equal to 5 1/3
Answer:
C
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C
ABCD is a square. The length of each side of the square ABCD is units, and the length of its diagonal is about units.
Answer:
The answer is below
Step-by-step explanation:
From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.
For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:
13² = 12² + x²
169 = 144 + x²
x² = 169 - 144
x² = 25
x = √25 = 5
For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:
15² = 12² + y²
225 = 144 + y²
y² = 225 - 144
y² = 81
y = √81 = 9
The length of AB = x + y = 9 + 5 = 14 unit
Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.
In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:
AC² = AD² + DC²
AC² = 14² + 14²
AC² = 196 + 196 = 392
AC = √392 = 19.8
The length of its diagonal is about 19.8 units
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Answer:
4=x
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2) distribute
1.5x+6-3 = 4.5x-9 subtract 1.5x from each side
3=3x-9 add 9 to both sides
12=3x divide by on both sides
4=x simplify
Answer:
x=4
Step-by-step explanation
Find the area of a circle with radius, r = 7.29m. Give your answer rounded to 2 DP
Answer:
Area of a circle is πr²
where r is the radius
r = 7.29m
Area = π × 7.29²
= 166.957
= 166.96m² to 2 decimal places
Hope this helps you
two angles of a triangle measure 53 degrees and 68 degrees what is the measure of the third angle? A) 59 degrees B) 69 degrees C) 112 degrees D) 121 degrees
Answer:
The third angle is 59
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
53+ 68+ x = 180
Combine like terms
121 + x = 180
Subtract 121 from each side
x = 180-121
x =59
Answer:
A ( 59 degrees) is correct answer
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16), (2, 0) (0, –12), (–6, 0), (2, 0)
Answer:
(-6, 0) and (2, 0)
Step-by-step explanation:
To find the x-intercepts, we can factor the expression:
f(x) = x² + 4x - 12
2 factors of -12 that add up to 4 are 6 and -2
(x + 6)(x - 2)
Set each factor equal to 0 and solve for x:
x + 6 = 0
x = -6
x - 2 = 0
x = 2
So, the x intercepts are (-6, 0) and (2, 0)
Answer:
It's the first option, (-6, 0) (2, 0)
Step-by-step explanation:
100% on Edge
Before using the Gizmo, consider an arithmetic sequence with a first term (a1) of 4 and a common difference (d) of 3.
Challenge: What are the first five terms of the sequence (from lowest to highest)?
Answer:
4, 7, 10, 13 and 16Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as [tex]Tn = a+(n-1)d[/tex].
a is the first term of the sequence
d is the common difference
n is the number of terms
Given the first term a = 4 and common difference d = 3, we can calculate the first five terms of the sequence using the formula.
If n = 2
[tex]T_2 = 4+(2-1)*3\\T_2 = 4+(1)*3\\T_2 = 4+3\\T_2 = 7\\\\when \ n = 3;\\T_3 = 4+(3-1)*3\\T_3 = 4+(2)*3\\T_3 = 4+6\\T_3 = 10\\\\when\ n = 4\\T_4 = 4+(4-1)*3\\T_4 = 4+(3)*3\\T_4 = 4+9\\T_4 = 13\\\\when\ n = 5\\T_5 = 4+(5-1)*3\\T_5 = 4+(4)*3\\T_5 = 4+12\\T_5 = 16\\[/tex]
The first five terms of the sequence from lowest to highest are 4, 7, 10, 13 and 16
help please i need help
Answer:
A=6
B=41
c=42
Step-by-step explanation:
What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Answer:
[tex]y=-\frac{3}{2}x-\frac{9}{2}[/tex]
Step-by-step explanation:
Let the equation of the perpendicular line is,
y = mx + b
where m = slope of the line
b = y-intercept
From the graph, slope of the line passing through (0, -1) and (3, 1),
m' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m' = [tex]\frac{1+1}{3-0}[/tex]
m' = [tex]\frac{2}{3}[/tex]
To get the slope (m) of this line we will use the property of perpendicular lines,
m × m' = (-1)
m × [tex]\frac{2}{3}[/tex] = -1
m = [tex]-\frac{3}{2}[/tex]
Equation of the perpendicular line will be,
[tex]y=-\frac{3}{2}x+b[/tex]
x-intercept of the line is (-3) therefore, point on the line is (-3, 0)
0 = [tex]-\frac{3}{2}(-3)+b[/tex]
b = [tex]-\frac{9}{2}=-4.5[/tex]
Equation of the line will be,
[tex]y=-\frac{3}{2}x-\frac{9}{2}[/tex]
What is the congruence correspondence, if any, that will not prove the given triangles congruent?
Answer:
HL
Step-by-step explanation:
It doesn't specifically mention that the Hypotenuse of the two triangles are congruent.
The congruence correspondence for these given two right-angled triangles is HL(hypotenuse and leg).
What is the condition of congruence for two right-angled triangle?"Two right-angled triangles are congruent if hypotenuse and one side of a triangle are equal to hypotenuse and one side of other triangle."
In these given two triangles,
It is not mentioned that the hypotenuse of each triangles are equal.
Therefore, the congruence correspondence for these given two triangles is HL(hypotenuse and leg).
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HLPZ!! I DON'T KNOW HOW TO DO THIS!!! The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
0.6.
Step-by-step explanation:
Either event A or Event B or neither must happen so the probability of any of these is 1, so
Prob(B) = 1 - 0.2 - 0.2 = 0.6.
Answer: answer above me is correct
Given f '(x) = (x + 1)(6 + 3x), find the x-coordinate for the relative minimum on the graph of f(x).
Answer:
x = -1
Step-by-step explanation:
The easiest way is just to find the antiderivative and graph. The antiderivative is [tex]x^{3} + 4.5x^{2} + 9x + C[/tex]. Graphing this with any C shows that [tex]x=-1[/tex] is the relative minimum.
the relative minimum on the graph of f(x) is x = -1.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, f '(x) = (x + 1)(6 + 3x)
f'(x) has roots of x = -1 and x = -2. These are either relative minimums OR maximums.
f(x) is the integral of f'(x). To do the integration, first put f'(x) into the standard polynomial form:(by multiplying)
f'(x) = 3x² + 9x + 6
Then f(x) = x³ + 9/2 * x² + 6x + C The dominant shape is set by x³: For large -x, y goes to -infinity, and for large +x, y goes to + infinity.
To confirm, we need the 2nd derivative:
f"(x) = 6x + 9. Setting this = to 0,
we find a root at -3/2. This is halfway between the 2 previous points and appears to be an inflection.
We can also observe from f(x) that there is a root at x = 0. Taking the x out, we get x² + 9x/2 + 6. There is just one x-axis crossing since there are no true roots in this (at 0,0)
therefore, the relative minimum on the graph of f(x) is x = -1.
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For any number y, ⌂y=2y3 . What is the value of ⌂2 + ⌂5 ? NEED HELP ASAP
Answer:
276
Step-by-step explanation:
∆y = 2y3
∆2 = 2(2)3 = 16
∆5 = 2(5)3 = 250
∆2 + ∆5 = 250 + 16 = 276
Am I right or wrong (don't answer the last one!)
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
- 14 + 6m = 10
Distributive Property of Multiplication
2 is distributed to -7 and 3m
- 14 + 14 + 6m = 10 + 14
Addition Property of Equality
Adding 14 to both sides.
6m = 24
Simplifying
Simplifying the equation.
[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]
Division Property of Equality
Dividing both sides by 6.
Jim rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 76 cents for each mile driven. Jim had to pay $236.11 when he returned the truck. For how many miles did he drive the truck?
Answer:
287 miles
Step-by-step explanation:
The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.
We can represent the amount he will pay for rent with the equation below:
C = 17.99 + 0.76m
where m = number of miles driven
Jim paid $236.11, therefore:
236.11 = 17.99 + 0.76m
0.76m = 236.11 - 17.99
0.76m =218.12
m = 218.12 / 0.76 = 287 miles
Jim drove 287 miles.
Prove that interior angles 1 and 3 are congruent when the lines are parallel with a transversal. PLEASE ANSWER ASAP, DUE IN HALF A HOUR
Answer:
They are congruent because angle 1 &3 are alternate interior angles.
Step-by-step explanation:
HELP PLEASE!!! How do I solve this?
Answer:
32
Step-by-step explanation:
tanx=opp/adj.=40/64=5/8=0.625
find tan^-1= 32 degrees
Answer:
A. 32°
Step-by-step explanation:
[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]
Height of the cross-section
Answer:
Height of prism (H) = 2.5 cm
Step-by-step explanation:
Given:
Base of rectangle (b) = 4 cm
Length of rectangle (l) = 7 cm
Volume of prism = 35 cm³
Find:
Height of prism (H)
Computation:
Volume of prism = 1/2 × b × l × H
35 = 1/2 × 4 × 7 × H
35 = 14 × H
Height of prism (H) = 2.5 cm
3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27
Answer:
(D) [tex]\dfrac{27}{16}[/tex]
Step-by-step explanation:
Volume of a Cylinder =[tex]\pi r^2h[/tex]
Cylinder A
Height = 3 Units
Radius = 3 Units
[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]
Cylinder B
Height = 4 Units
Radius = 2 Units
[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]
[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]
The correct option is D
HELPP VERY URGENT !!!!!!!
Answer:
B
Step-by-step explanation:
urgenttttt What is the value of x? A right triangle has a vertical hypotenuse labeled 6. A 30 degree angle is marked at the top of the triangle. A second right triangle has a leg that is the same as the side opposite the 30 degree angle of the first triangle. On the second right triangle, the hypotenuse is labeled x and an angle is labeled 45 degrees. Enter your answer, as an exact value, in the box. x =
Answer:
x=30degrees
Step-by-step explanation:
the diagram, if drawn comes as a square. when divided to two triangles, both of them have one right angle each. if the hypotenuse is thirty d on one side, the opposite angle has to be 60d . since the total of all angles is 180d and one side is 90d and the other 60d, the other angle must me 30d
The length of Hypotenuse is 3√2 unit.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Angle= 45 degrees
Hypotenuse = x
Using Trigonometry in Triangle 1
sin 30 = P/ 6
1/2 = P/6
P= 3 unit
Now, In triangle 2
cos 45 = 3/H
1/√2 = 3 / H
H= 3√2 unit
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evaluate 21.5 multiplied by 2.51 to 2 decimal place
Answer:
53.96
Step-by-step explanation:
21.5 times 2.51 is 53.965
53.965 to 2 decimal points is 53.96
Choose the best estimate for the division problem below.
64.309/7.19
A. 12
B. 14
C. 9
Answer:
The estimated answer would be 9
Step-by-step explanation:
The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.
How much would $120 invested at 6% interest compounded monthly be
worth after 21 years? Round your answer to the nearest cent.
A(t)= P(1+r/n)^nt
Answer:
$421.72
Step-by-step explanation:
Compounded Monthly Interest Rate Formula: A = P(1 + 4/12)^12t
Simply plug in our known variables:
A = 120(1 + 0.06/12)²¹⁽¹²⁾
A = 120(1.005)²⁵²
A = 120(3.51437)
A = 421.724
Caleb types 100 words in 5 minutes what is the unit rate
Answer:
20 words per minute
Step-by-step explanation:
Unit rate = 100/5
= 20
20 words per minute
A necklace contains twenty-four spherical beads of silver, each having a radius of 0.5cm. The beads are to be coated, and the cost of coating is $10 per cm2. What is the approximate total cost, to the nearest cent, for coating the beads?
Answer:
$153
Step-by-step explanation:
To find the total cost, we have to calculate the area of one bead, then all of them:
Area of one bead = pi x r^2 = 3.14 x 0.5^2 = 3.14 x 0.25 = 0.765cm^2
Area of 20 beads = 0.765 x 20 = 15.3cm^2
Now, we are able to calculate the ultimate cost of coating:
If the cost is $10 per cm^2, then we have to find how much it costs to coat 15.3 cm^2.
15.3 x 10 = $153.
Hope this helps
What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³
Hey there! :)
Answer:
V = 1260 cm³.
Step-by-step explanation:
Volume of a pyramid:
V = 1/3 (bh)
The base is a triangle, so use the formula A = 1/2 (bh).
A = 1/2 (14 × 18)
A = 1/2(252)
A = 126 cm².
Plug this into the volume of a pyramid formula:
V = 1/3 (30 × 126)
V = 1/3 (3780)
V = 1260 cm³. This is the volume of the pyramid shown.
Answer:
B: 1260 cm³Step-by-step explanation:
PLEASE ANSWER QUICK. WILL BRAINLIEST
Table I shows the number of hours per week a basketball player practices free throws and the percentage of free throws the player makes. Table II shows the number of hours the player practices per week and the number of points the player scores in the game. 2 tables. A 2-column table with 5 rows titled Practice hours versus free throws made. Column 1 is labeled Practice hours (p) with entries 8, 6, 9, 7, 4. Column 2 is labeled Percentage of free throws made (f) with entries 70, 55, 75, 67, 50. A 2-column table with 5 rows titled Practice hours versus Points Scored. Column 1 is labeled practice hours (p) with entries 6, 5, 10, 3, 2. Column 2 is labeled Number of Points Scored (s) with entries 22, 18, 45, 10, 7. Yasmin made the graphs below to represent the data in the tables. Practice Hours vs. Free Throws Made A graph has practice time (hours) on the x-axis and free throws made (percentage) on the y-axis. Points are grouped together in a line with positive slope. Practice Hours vs. Points Scored A graph has practice time (hours) on the x-axis and points scored on the y-axis. Points are grouped together in a line with positive slope. What comparison can be made between the two sets of data in the table? They both have strong positive correlation. They both have weak positive correlation. They both have strong negative correlation. They both have weak negative correlation.
Answer:
a. They both have strong positive correlation.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Just took the test and did calculations. 100% correct
4.6363 as fraction using long division
Answer:
459/99
Step-by-step explanation:
0.6363... is equal to 63/99.
We want to add 4.
4 = 396/99
396/99 + 63/99 = 459/99
We can double check with a calc.
NEED MATH HELP NOW. Please solve for x-intercept.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
2x²-8x+6=0x²-4x+4=1(x-2)²=1x-2=1 ⇒ x= 3x-2= -1 ⇒ x= 1Answer:
(1, 0) / (3, 0)
Step-by-step explanation: