Answer:
Correct Answer is (5 meters) for each side
Step-by-step explanation:
A=[tex]\ \frac{\sqrt{3}}{4} a^{2}[/tex] (area)
Perimeter = 15/3 = 5 meters each side
is -7 less the -8
is -8 less then or equal to -8
Type the missing number that makes these fractions equal: 4/?=8/14
Answer:
4/7 = 8/14
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]
cross multiply
8x = 14 x 4
8x = 56
x = 7
For her birthday, Patty's parents gave her $5,000.00 which they put into a savings account that earns 10% interest compounded continuously. When Patty started college, she withdrew the entire balance of $5,789.00 and used it to pay for tuition. How long was the money in the account?
Answer:
1.465 years
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 per year,
Then, to solve for time t, when compound interest is compounded continuously, the formula is given as:
t = ln(A/P) / r
Where
A = Amount after time t = $5,789.00
P = Principal = Initial amount = $5,00
r = 0.1
Hence,
t = ln(5,789.00/5,000.00) / 0.1
t = 1.465 years
Therefore, the money was in the account for 1.465 years
Someone help me please with this ? Like right now please
Answer: 6472
Step-by-step explanation:
You have to multiply and add
Find the measure of angle 1
HELP
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
x = -11 5/17
Step-by-step explanation:
3x + 2y = 12
2x - 3y = -57
5x + y = -45
y = -5x - 45
2x - 3 (-5x - 45) = -57
2x + 15x + 135 = -57
17x + 135 = -57
17x = -192
x = -11 5/17
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer from the base of the tower?
Answer: [tex]19.31\ ft[/tex]
Step-by-step explanation:
Given
The tower is at a height of [tex]h=20\ ft[/tex]
the angle of depression is [tex]15^{\circ}[/tex]
Suppose the surfer is x ft away from the base of the tower
[tex]\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft[/tex]
Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.
1/5 - 2x ≥ -4
Solve for X.
Answer:
x≤21/10
Step-by-step explanation:
[tex] \frac{1}{5} - 2x \geqslant - 4 \\ - 2x \geqslant - 4 - \frac{1}{5 } \\ 2x \leqslant 4 + \frac{1}{5} \\ 2x \leqslant \frac{21}{5} \\ x \leqslant \frac{21}{10} [/tex]
PLEASE HELP!!!!!!!!!!
[tex]115 = l \times 2.5 \times 5.75[/tex]
[tex] \huge \mathrm{Answer࿐}[/tex]
given :
[tex]\longmapsto[/tex] volume = 115 yd³
Dimensions are :
[tex] 2\frac{1}{2} yd [/tex][tex] 5\frac{3}{4} yd [/tex]LWe know,
[tex] \large \boxed{ \mathrm{volume = l \times b \times h}}[/tex]
[tex]115 = 2\frac{1}{2} \times 5\frac{3}{4} \times l[/tex][tex]l \times \dfrac{5}{2} \times \dfrac{23}{4} = 115[/tex][tex]l \times \dfrac{115}{8} = 115[/tex][tex]l = 115 \times \dfrac{8}{115} [/tex][tex]l = 8 \: yd[/tex]Therefore Length of the prism is 8 yards.
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
(4x2 - X - 5) + (6x2 + x)
Answer:
10x2 - 5 (the 2 has to be small too.)
A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:
Someone help pls :D
The ratio of red squares to blue squares is 3 : 7
The ratio of blue squares to total squares is 7 : 10
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
The number of red squares = 15
The number of blue squares = 35
Now , the total number of squares is N = 50 squares
a)
The ratio of red squares to blue squares is = number of red squares / number of blue squares
The ratio of red squares to blue squares is = 15 / 35
The ratio of red squares to blue squares is = 3 : 7
b)
The ratio of blue squares to total squares is = number of blue squares / total number of squares
The ratio of blue squares to total squares is = 7 : 10
Hence , the proportion is solved
To learn more about proportion click :
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The complete question is :
A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:
a) The ratio of red squares to blue squares
b) The ratio of blue squares to total squares
What expression is equivalent to -8 (1/2 + 1/4)
Answer:
(-4 - 2)
Step-by-step explanation:
-8 (1/2 + 1/4) = -6/1 = -6
-4 - 2 = -6
I will give brainiest
Answer:
there should be 4 points below the trend line
Step-by-step explanation:
4
Mike has 2 bank accounts. In his checking he has $136.89 and in his savings account he has $653.23.
Answer:
Whats the question and if its adding the answer is 790.12
Step-by-step explanation:
Also, if you could answer my question that'dd be great!
Triangle PQR is similar to triangle DEF as shown.*
A.
B.
D.
C.
help pleaseee! dont guess
Answer:
1: True, 2: False
Step-by-step explanation:
With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.
With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.
help me please no links
Answer:
6
Step-by-step explanation:
the top and the bottom line on the squares and with the top and the bottom line on both of the arrows
The required number of lines of symmetry the given figure holds is 2.
What is the line of symmetry?A line of symmetry is a line that divides a shape into two mirror images that are identical to each other. If a shape has a line of symmetry, it means that one-half of the shape is a reflection of the other half across the line of symmetry.
For example, a square has four lines of symmetry, because it can be divided into four identical mirror images. A rectangle has two lines of symmetry, one horizontal and one vertical because it can be divided into two identical mirror images.
Following the above example, in the given scenario, the figure has only 2 lines of symmetry.
Learn more about the line of symmetry here:
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Which triangle makes this statement true?
Answer:
A.
Step-by-step explanation:
i pretty sure
hii! please help asap. i’ll give brainliest
Answer:
4
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
it has 15.95 and only 1 16.00 :D
HELP ME IM STUCK PLEASE QUICK
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
A spaceship traveled 81 billion miles. In scientific notation that is _____ miles.
8.1 × 10 10
8.1 × 10 -9
8.1 × 10 9
8.1 × 10 -10
plz help it's being timed
Answer:
A (8.1 x 10^10)
Step-by-step explanation:
1. 1 billion is 1,000,000,000 or 10^9
2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10
3. Thus, the answer is 8.1 x 10^10
Answer:
8.1 × 10^10
:)
Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:
5°
10°
15°
20°
please help
Answer:
B-10⁰
Step-by-step explanation:
5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰
Write the recursive formula for the sequence
37, 67, 97, 127, 157
Answer:
The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].
Step-by-step explanation:
A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].
Write an equation in slope-intercept form for the line that is parallel to the line 6x + 2y = 2 and passes through the point
(-1, 7).
Answer:
[tex]y=-3x+4[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope (m) and different y-intercepts (b)1) Determine the slope (m)
[tex]6x+2y=2[/tex]
Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)
Subtract 6x from both sides to isolate 2y
[tex]6x+2y-6x=-6x+2\\2y=-6x+2[/tex]
Divide both sides by 2 to isolate y
[tex]y=-3x+1[/tex]
Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept
[tex]y=-3x+b[/tex]
Plug in the given point (-1,7)
[tex]7=-3(-1)+b\\7=3+b[/tex]
Subtract 3 from both sides
[tex]7-3=3+b-3\\4=b[/tex]
Therefore, the y-intercept of the line is 4. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+4[/tex]
I hope this helps!
Samantha has chocolate bars and lollipops in the the ratio 4:5. If she has 12 chocolate bars,how many lollipops does she have?
Is 8 a solution to 48 < 4x?
plz need answers quickly
Answer:
No
Step-by-step explanation:
We need to tell that whether 8 satisfies the given inequality. The inequality is ,
[tex]:\implies[/tex] 48 < 4x
now substitute x 12 is equal to 8 and check whether if it satisfies the given inequality.Putting x = 8
[tex]:\implies[/tex] 48 < 4x
[tex]:\implies[/tex] 48 < 4 * 8
[tex]:\implies[/tex] 48 < 32
this is not possible as 48 is greater than 32. x is equal to 8 is not a solution of the given inequality .No it is not a solution .[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{48 < 4x}[/tex]
[tex]\large\textsf{TURN the given EQUATION}[/tex]
[tex]\mathsf{4x > 48}[/tex]
[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]
[tex]\mathsf{x >\dfrac{48}{4}}[/tex]
[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]
[tex]\boxed{\mathsf{x > 12}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
38 units
ОООО
44 units
3x - 1
2x + 2
49 units
D
С
2y + 6
I need with the volume!!!
Answer:
Tim read 81 pages.
Step-by-step explanation:
If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.
Monday: 3
Tuesday: 3 x 3 = 9
Wednesday: 9 x 3 = 27
Thursday: 27 x 3 = 81
I hope this helps you! :D
The improper fraction to a mixed number
Answer:
5 2/3
Step-by-step explanation:
:)
it would be A. 5 and 2/3
brainliest..