keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$630\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (630)(0.065)(\frac{1}{2}) \implies I\approx 20.48[/tex]
3
6
2
•
3
12
O y=2x+:
O y = 3x
O y =3x+3
O y=x+3
Which equation represents the relationship shown in the table? •
Answer:
y = 3x + 3
Step-by-step explanation:
when you check, only that equation delivers the correct x and y pairs.
x = 0, => y = 3×0 + 3 = 3
x = 1, y = 3×1 + 3 = 3+3 = 6
x = 2, y = 3×2 + 3 = 6 + 3 = 9
x = 3, y = 3×3 + 3 = 9 + 3 = 12
it all fits.
The diameter of the circle above is 14 cm. What is the circumference of the circle? Use a = 3.14.
Circumference 2пт
A. 153.86 cm
B. 21.98 cm
C. 43.96 cm
D. 307.72 cm
Answer:
43.96 or C
Step-by-step explanation:
c=(pi)(d)
pi --> 3.14
d --> diameter (in your case 14.)
c=3.14*14
c= 43.96
Both formulas work, 2(pi)r and (pi)(d)
But, if they give you the diameter then use (pi)(d).
If they give you the radius then use 2(pi)r
Cácule o limite de:
lim [tex]3^{2n} + 1[/tex]
_____________________
n-∞[tex]4^{n+2} - 3[/tex]
R:∞
The limit of the expressions [tex]3^{2n} + 1[/tex] and [tex]4^{n + 2} - 3[/tex] for n to infinity is infinity
How to calculate the limits?The expressions are given as:
[tex]3^{2n} + 1[/tex]
[tex]4^{n + 2} - 3[/tex]
The limits of the expressions as they approach infinity are represented as:
[tex]\lim_{n \to \infty} 3^{2n} + 1[/tex] and [tex]\lim_{n \to \infty} 4^{n + 2} - 3[/tex]
Substitute [tex]\infty[/tex] for n in both expressions
[tex]\lim_{n \to \infty} 3^{2 * \infty} + 1[/tex] and [tex]\lim_{n \to \infty} 4^{\infty + 2} - 3[/tex]
Solve both expressions independently;
[tex]\lim_{n \to \infty} 3^{2n} + 1 = 3^{2 * \infty} + 1[/tex]
Evaluate the product
[tex]\lim_{n \to \infty} 3^{2n} + 1 = 3^{\infty} + 1[/tex]
Evaluate the exponent
[tex]\lim_{n \to \infty} 3^{2n} + 1 = \infty + 1[/tex]
Evaluate the sum
[tex]\lim_{n \to \infty} 3^{2n} + 1 = \infty[/tex]
Also, we have:
[tex]\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty + 2} - 3[/tex]
Evaluate the sum
[tex]\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty} - 3[/tex]
Evaluate the exponent
[tex]\lim_{n \to \infty} 4^{n + 2} - 3 =\infty - 3[/tex]
Evaluate the difference
[tex]\lim_{n \to \infty} 4^{n + 2} - 3 =\infty[/tex]
Hence, the limit of the expressions for n to infinity is infinity
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Help me please I need this done quick
the second choice is "reverse" and "do not reverse"
Answer:
Divide by -8reverseStep-by-step explanation:
Multiplying or dividing an inequality by a negative number requires that the inequality symbol be reversed.
__
To solve this inequality, we can divide by the coefficient of x, which is -8. Dividing by -8 means we need to reverse the inequality symbol.
_____
Additional comment
Actually, applying any function that has a negative slope means the ordering is reversed. That is the more general case.
Here, we're specifically concerned with division by a negative number. You can see the effect on the ordering relation by considering ...
-2 < 12 > -1 . . . . divide both sides by -1write the expression 5x^-4 using only positive exponents
Answer:
1/5x^4
Step-by-step explanation:
To change a negative exponent to a positive one, flip it into a reciprocal. This is what I have done here.
HELPPP
a) x + 5 = 11
b) x-6=8
C) 3+ x=7
d) 12 = x + 5
Answer:
A) 6
B) 14
C) 4
D) 7
Hope it helps :))
Consider a game in which you draw playing cards from a standard 52-card deck, one at a time. If a player draws a face card (a jack, a queen, or a king), the player is awarded 10 points. Any other card drawn costs the player 3 points. What is the expected value of drawing a card in this game? A. 0 points B. 3 points C. 6.5 points D. 10 points
Answer: B
Step-by-step explanation: There are many less face cards in the deck than other cards, you would think youre getting 3 points each time rather than thinking 10 points each time
Please i really need help, i really need this i will give a brainliest to the people that answer correctly
Answer:
B
Step-by-step explanation:
y is first so, 8,1 6,2 4,3 2,4 0,5
find the sum of n first natural numbers is 496 ,find the number of terms
Answer:
Number of terms = 31.
Step-by-step explanation:
Sum of n terms of an A S with first term 1 and common difference 1:-
496 = (n/2)(2(1) + 1(n - 1))
496 = (n/2)(n + 1)
n^2/2 + n/2 = 496 Multiply through by 2:-
n^2 + n = 992
n^2 + n - 992 = 0
(n - 31)(n + 32) = 0
n = 31 (we ignore the negative).
Solve the equation 14x + 7y= 28 for x.
O A. x-y-2
OB. x = 28-7y
O C. x = 2-y
O D. x = 4-y
The equation that represents the solution of x is x = 2 - y/2
How to solve the equation?The equation is given as:
14x + 7y = 28
Divide through by 7
2x + y = 4
Subtract y from both sides
2x = 4 - y
Divide both sides by 2
x = 2 - y/2
Hence, the equation that represents the solution of x is x = 2 - y/2
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Find the area of the rectangular prism net
Answer:
52 units^2
Step-by-step explanation:
Given:-
Length(L): 4
Width(W): 3
Height(H): 2
Surface area = 2(LW+WH+HL)
2(4×3+3×2+2×4)
2(12+6+8)
52 units^2
Hope this answers your question!!
Find an equation of a line through (2, 1) and perpendicular to - 2x + 4y = 8.
y = -2x - 1
y = -2x + 5
О.
y = -2x - 3
O
y = -2x + 3
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]-2x+4y=8\implies 4y=2x+8\implies y=\cfrac{2x+8}{4} \\\\\\ y=\cfrac{2x}{4}+\cfrac{8}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+2\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
since we know that's its slope, then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]
so then we're really looking for the equation of a line whose slope is -2 and passes through (2 , 1)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-2}(x-\stackrel{x_1}{2}) \\\\\\ y-1=-2x-4\implies y=-2x-3[/tex]
Soo i need yall help rlly bad w it pls
The total number of inches yards that she have is 6.95 yards
Sum of fractionsGiven the following parameters
Amount of red yards = 4.2 inches
Amount of blue yards = 2.75inches
In order to determine the total yards, the sum of the yards is expressed as:
Total yards = 4.2 + 2.75
Total yards = 6.95 yards
Hence the total number of inches yards that she have is 6.95 yards
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The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB after the dilation is applied?
Answer:
18cm
Step-by-step explanation:
Given:
- The length of AB is 9 centimeters
- A dilation with a scale factor of 2
The length of the image AB after the dilation is applied:
9 x 2 = 18
dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size
Find the vertex, axis of symmetry, and y-intercept of the quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Maximum = 2Domain : all real numbersRange : y ≤ 2-4√x + 5 + 5
I’m not sure how to solve. Radical quadratic function.
Answer:
si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7
Step-by-step explanation:
espero ayudarte utilice un 64/1 de mi cabeza
A right angled triangle has sides 12m and 5 m.what is the length of the hypotenuses of this triangle?
Answer:
13 m
Step-by-step explanation:
Given: sides of the right triangle are 12 m and 5 mTo find: Length of hypotenuseBy Pythagoras Theorem:[tex]l(hypotenuse)=\sqrt{12^2+5^2}[/tex][tex]\implies l(hypotenuse)=\sqrt{144+25}[/tex][tex]\implies l(hypotenuse)=\sqrt{169}[/tex][tex]\implies l(hypotenuse)=13\: m[/tex]Me colaboran con esta ecuacion 4x+3=3x+5
[tex]\boxed{ x= 2}[/tex]
Solution :[tex]4x+3=3x+5[/tex]
Subtract 3 from both sides :
[tex]4x + 3 = 3x + 5[/tex]
[tex]4x + 3-3 = 3x + 5-3[/tex]
[tex]4x = 3x + 2[/tex]
Subtract 3x from both sides :
[tex]4x = 3x + 2[/tex]
[tex]4x-3x = 3x + 2-3x[/tex]
[tex]x = 2[/tex]
[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]
The value that satisfies the first degree equation is: x = 2.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf Verification:[/tex]
[tex] \qquad \sf \dashrightarrow42 + 3 = 32 + 5[/tex]
[tex] \: \: \qquad \sf \dashrightarrow 8 + 3 = 6 + 5[/tex]
[tex] \: \: \qquad \sf \dashrightarrow11 = 11[/tex]
Solving a first degree equation
The objective of the problem is to know what is the number that allows the stated equality to be fulfilled, for this it is necessary to clear the value of x.
The formulation is first degree:
[tex] \: \: \: \: \: \: \: \: \: \: \: \boxed{ \Rrightarrow\bf 4x + 3 = 3x + 5}[/tex]
The variables must be grouped in the same term, in this case we will do it in the left term, and the constants (numbers) in the right.
1) Subtract -3x from both terms:
[tex] \qquad \sf \dashrightarrow4x + 3 - 3x = 3x - 3x + 5[/tex]
[tex] \qquad \sf \dashrightarrow \: x + 3 = 5[/tex]
2) Subtract three units for each term:
[tex] \qquad \sf \dashrightarrow \: x + 3 - 3 = 5 - 3[/tex]
[tex] \qquad \sf \dashrightarrow \: {x =2 \: ✔}[/tex]
I hope I've helped : )
Someone show me step for step please!
[tex]\csc \theta \tan \theta - \tan \theta \sin \theta \\\\\\=\dfrac 1{\sin \theta} \cdot \dfrac{\sin \theta }{\cos \theta }- \dfrac{\sin \theta }{\cos \theta} \cdot \sin \theta\\\\\\=\dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{1- \sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{\cos^2 \theta}{\cos \theta}~~~~~~~~~~~~~~;[\sin^2 \theta + \cos^2 \theta =1 ]\\\\\\=\cos \theta[/tex]
Let's write out some trigonometric identities that we can use:
[tex]tan(x)=\frac{sin(x)}{cos(x)} \\[/tex][tex]csc(x)=\frac{1}{sin(x)}[/tex][tex]sin^2(x)+cos^2(x)=1[/tex] ⇒ [tex]cos^2(x)=1-sin^2(x)[/tex]Now let's try solving them out:
[tex]csc(x)tan(x)-tan(x)sin(x)=\frac{1}{sin(x)}tan(x)-sin(x)tan(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)}-sin(x))\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)} -\frac{sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=tan(x)*(\frac{1-sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{cos(x)}*\frac{cos^2(x)}{sin(x)} \\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{sin(x)}*\frac{cos^2(x)}{cos(x)}\\\\csc(x)tan(x)-tan(x)sin(x)=1 * cos(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=cos(x)[/tex]
*I used a different variable, but that doesn't change the answer
Answer: cos(x)
Hope that helps!
There is 1 2 of a pizza left for 4 friends to share. What fraction of a pizza will each friend get to eat? please help.
Answer:
1/3
Step-by-step explanation:
Number of pizza=12
Number of students=4
Therefore,4/12=4/4
=1/3
I need a the answer please!!
A(5, 10) and B(13,-2) are two points on the line AB.
The perpendicular bisector of the line AB has gradient
Find the equation of the perpendicular bisector of AB
Answer:
hope you understand......
Does anyone know the correct answer
Answer:
D. None of these
Step-by-step explanation:
(5×10^8)(4×10^3)
=20 × 10^11
All the terms are being multiplied. There is no distributive property (FOIL) here. Rearrange the numbers in any order that helps you.
5 × 4 × 10^8 × 10^3
Add exponents to multiply the 10's.
and in proper scientific notation, one last change would give you
2.0 × 10^12
A large tank is 120 meters long, 65 meters wide, and 48
meters high. Express the volume of the tank in cubic
meters using scientific notation.
Step-by-step explanation:
the volume of a rectangular block or tank is
length × width × height
so, it is like all regular 3D objects
base area × height.
so, we get
120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³
why ?
374,400 = 374400 × 10⁰ = 37440 × 10¹ =
= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =
= 3.744 × 10⁵
Each painting class Olivia teaches is h hours long. She teaches 6 classes per week. Write an expression that shows the total number of hours she teaches
Answer:
6h
Step-by-step explanation:
If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.
If the classes are two hours, she teaches 6×2 is 12 hours.
Try with numbers to see what math operation you are doing. Its times.
6×h is written 6h
6h is the expression that shows the total number of hours she teaches
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Each painting class Olivia teaches is h hours long.
The number of classes teached by Olivia in a week is 6.
We need to find an expression that shows the total number of hours she teaches
6h is the required expression.
h is the variable because its value will be changed.
Hence, 6h is the expression that shows the total number of hours she teaches
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Find:
Number X. if
3
of x is 12.
Answer:
x=4
or
x=36
Step-by-step explanation:
I am wondering if you mean 3x=12 or x/3=12
if 3x=12, then x=4
if x/3=12, then x=36
Use the table below to find each probability. 5. P(the recipient is male) 6. p(the degree is a bachelors) 7. p(the recipient is female, given that the degree is advanced) 8. p( the degree is not an associates, given that the recipient is male)
Degree Male Female
Associate 245 433
Bachelors 598 858
Advanced 293 376
P(the recipient is male)= 40.5%
p(the degree is a bachelors) = 52%
p(the recipient is female, given that the degree is advanced) = 56.2%
p( the degree is not an associates, given that the recipient is male) = 78.4%
What are the probabilities?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
P(the recipient is male) = total number of males / total number of recipients
1136/2803 = 40.5%
p(the degree is a bachelors) = total number of bachelors degree / total number of degree
= 1456 / 2803 = 52%
p(the recipient is female, given that the degree is advanced) = total number of females with advanced degree / total number of advanced dgree
376 / 669 = 56.2%
p( the degree is not an associates, given that the recipient is male) = number of males that that have degrees other than associates / total number of males
891 / 1136 = 78.4%
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6846 is shared equally between 7 people. How much does each person get
-9v -6(8-7v)
Explain please
Answer:
33v - 48
Step-by-step explanation:
- 9v - 6(8 - 7v) ← multiply each term in the parenthesis by - 6
= - 9v - 48 + 42v ← collect like terms
= 33v - 48
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 9v - 6(8 - 7v)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 9v - [(6 \times 8) - (6 \times 7v)][/tex]
[tex]\qquad \sf \dashrightarrow \: - 9v - (48 - 42v)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 9v - 48 + 42v[/tex]
[tex]\qquad \sf \dashrightarrow \:33v - 48[/tex]
Hope it helps ~