Answer:
Multiply the numerators, than the denominator
Step-by-step explanation:
Because...
1. Change the mixed number to a impoper fracytion
2.Multiply the numerators, than the denominators
3. Than multiply the numerator and denominator seperatly
given cacb=aebd find bd.
Answer:6
Step-by-step explanation:
CA/CB = 21/14 or 3/2
So make 18 the numerator by multiplying both values in the fraction by 6
18/12
BD = 6
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?
The total interest you will earn in 30 years is approximately $241.61.
To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066
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Juan has scores of 85, 83, and 93 on three math
tests. What is Juan’s average test score on these
math tests?
Answer:
80.5
Step-by-step explanation:
to find average you need to first added all your number then divide by how much numbers you added
what is seven not an example of
The correct option is (C) variable.
Seven is not an example of variable.
What is a variable ?A variable can be taken as a letter or number or a symbol which is not fixed that mean its value may be change any time .
What is an expression?An expression is consist of multiple symbols, letters or numbers .Expression is a proper mathematical statement consist of single letter or may be multiple letter combine with some operators.
What is a term?It can be a constant or a variable or both.
What is a constant?A constant is a letter or symbol whose value is fixed always.
In the given question,
As, Seven is a single digit number therefore it is a fixed value which can not change. Thus it is clear that seven is a constant . Also, seven is a term and an expression as well , as it denotes the mathematical value.
Thus, seven is not an example of variable.
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The complete question is :
Seven is not an example of _____.
A) an expression B) term C) variable D) constant
Here is Annie's method to find angle ABC. Explain the mistake that Annie has made. Let angle ABC = 0 8 sin == 10 8= sin-1 8 10 0 = 53.13 (2 dp) Is there more than one possible mistake? Find angle ABC. A 6 cm C 10 cm 8 cm -B
Annie made mistake in her trigonometric ratios. The opposite side of the right triangle should be 6 cm not 8 cm.
How to find the angles of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Annie tries to solve the angle ABC of the right triangle. The angle ABC can be found using trigonometric ratios as follows:
where
∅ = angle ABC
Therefore,
sin ∅ = opposite / hypotenuse
sin ∅ = 6 / 10
sin ∅ = 3 / 5
∅ = sin⁻¹ 0.6
∅ = 36.8698976458
∅ = 36.87 degrees
Therefore, she made mistake in her trigonometric ratios.
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1 50 2 56 3 67 5 84 6 89 7 98 9 92 10 84 12 58 equation to use
Step-by-step explanation:
It seems like you have provided a sequence of pairs of numbers. If I understand correctly, the first number in each pair is a position index, and the second number is a corresponding value.
To find an equation that fits this data, we can use regression analysis to try to find a mathematical function that closely approximates the pattern in the data.
Based on visual inspection of the data, it seems like there may be a roughly quadratic relationship between the position index and the corresponding value. We can try fitting a quadratic function of the form y = ax^2 + bx + c to the data using a regression tool or by solving for the coefficients manually.
Here are the steps to manually solve for the quadratic equation:
1. Choose three data points to substitute into the quadratic equation (x, y): (1, 50), (2, 56), and (3, 67).
2. Substitute each point into the quadratic equation to obtain three equations:
a + b + c = 50
4a + 2b + c = 56
9a + 3b + c = 67
3. Solve the system of equations to obtain values for a, b, and c. One way to do this is to subtract the first equation from the second to get an equation in terms of a and b only, and then do the same for the second and third equations. This gives us two equations:
3a + b = 6
5a + b = 11
Solving for b in terms of a using the first equation and substituting into the second equation gives:
5a + (3a + 6) = 11
8a = 5
a = 5/8
Substituting this value of a back into the first equation above gives:
3(5/8) + b = 6
b = 57/8
Finally, substituting a and b into any of the three original equations gives:
c = 37/8
Thus, we have found a quadratic equation that fits the data reasonably well:
y = (5/8)x^2 + (57/8)x + 37/8
Note that this is not necessarily the only equation that could fit the data, and there may be other equations that fit the data better or worse depending on the specific criteria used to evaluate the fit.
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
6. Solve the given equation : 5 + 4 ( k – 1) = 25 .
Answer:
k=6
Step-by-step explanation:
subtract 5 from both sides
4(k-1)=20
divide 4 on from both sides
k-1=5
add 1 on both sides
k=6
\(\huge\bf{ANSWER:}\)
\(\huge\mathrm{k=6}\checkmark\)
\(\huge\bf{SOLUTION:}\)
Hey there, hope you are enjoying your day! :)
Let's solve this math problem. First of all, let's use the Distributive Property:
\(\rm{5+4(k-1)=25\)
\(\rm{5+4k-4=25\)
Now, move all the constants (numbers without a variable next to them) to the right, using the opposite operation:
\(\rm{4k=25-5+4\)
\(\rm{4k=20+4\)
Add:
\(\rm{4k=24\)
Divide both sides by 4 in order to isolate k:
\(\rm{k=6}\) (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-MistySparkles^**^*\)
Write as an algebraic expression: the difference of 27 and 5
The algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
How to write the statement as an algebraic expression?The statement is given as:
the difference of 27 and 5
Difference means minus.
The minus sign is represented as -
This means that the statement given as: the difference of 27 and 5
Can be represented as
27 minus 5
So, have
27 - 5
Hence, the algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
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in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
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Estimate 24, 765, 000 to
the nearest ten million.
Express your answer
using a single digit and a
power of ten.
(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)
\(\underline{\boxed{\sf{-7x^2 - \frac{13}{10} x +5}}}\)
Solution :-\(\sf{(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)}\)
Remove the parentheses:
\(\sf{-11x^2 + 1.4x - 3 + 4x^2 - 2.7x + 8}\)
Convert decimal to fraction:
\(\sf{-11x^2 + \frac{14}{10} x - 3 + 4x^2 - \frac{27}{10} x + 8}\)
Reduce fraction to the lowest term by canceling the greatest common factor:
\(\sf{-11x^2 + \frac{7}{5} x - 3 + 4x^2 - \frac{27}{10}x + 8}\)
Combine like terms:
\(\sf{-7x^2 - \frac{13}{10} x +5}\)
fy
This graph shows a portion of an even function,
Use the graph to complete the table of values.
6
X
f(x)
-1
4
-3
-5
-6
2
DONE
2
Answer:
From top to bottom;
1,1,3,3
Step-by-step explanation:
mathematically, for an even function;
f(x) = f(-x)
what this mean is that;
f(-1) = f(1)
f(-3) = f(3)
f(-5) = f(5)
f(-6) = f(6)
so we have it that;
f(-1) = 1
f(-3) = 1
f(-5) = 3
f(-7) = 3
jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card?
A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters. A cylinder is cut out of the middle of a hexagonal prism. The hexagon has an apothem with a length of 2 centimeters and base side lengths of 2.3 centimeters. The prism has a height of 2 centimeters. The cylinder has a diameter of 1.6 centimeters. The equation for the area of a regular hexagon = one-half (apothem) (perimeter). What is the volume of metal in the hex nut, to the nearest tenth? Use 3.14 for π. 21.1 cm3 23.6 cm3 27.6 cm3 31.6 cm3
Answer:
\(V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3\)
Step-by-step explanation:
Given that:
Diameter of the cylinder: d=1.6 cm
Apothem of the hexagon: a=2 cm
Assuming the thickness of the steel hex nut: t=2 cm
Volume of metal in the hex nut: V=?
\(V=V_p-V_c\)
\(\texttt {Volume of the prism}: V_p\\\\\texttt {Volume of the cylinder}: V_c\)
Prism:
\(V_p=Ab h\)
Ab=n L a / 2
Number of the sides: n=6
Side of the hexagon: L
Height of the prism: h=t=2 cm
Central angle in the hexagon: A=360°/n
A=360°/6
A=60°
\(\tan \frac{A}{2} =\frac{L}{2} / a\)
\(\tan \frac{60}{2} =\frac{L}{2} / 2cm\)
\(\tan 30 =\frac{L}{2} / 2cm\)
\(\frac{\sqrt{3} }{3} =\frac{\frac{L}{2} }{2}\)
\(2\frac{\sqrt{3} }{3} =\frac{L}{2}\)
\(L=4\frac{\sqrt{3} }{3}\)
\(Ab=n *L *\frac{a}{2}\)
\(Ab=6(4\frac{\sqrt{3} }{3} )(2cm)/2\)
\(=24\frac{\sqrt{3} }{3} cm^2\\\\=8\sqrt{3} cm^2\)
\(V_p=Ab h\)
\(=(8\sqrt{3} )cm^2(2cm)\\\\=16\sqrt{3} cm^3\\\\=16(1.732)cm^3\\\\=27.712cm^3\)
Cylinder:
\(V_c=\pi\frac{d^2}{4} L\)
π=3.14
d=1.6 cm
Height of the cylinder: h=t=2 cm
\(V_c=3.14\times\frac{1.6^2}{4} \times2\\\\=3.14\times\frac{2.56}{4} \times 2\\\\=2.0096\times2\\\\=4.019cm^3\)
\(V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3\)
Answer:
23.6
Step-by-step explanation:
Edge 2020
La literatura consiste en una forma de escribir en la cual se violenta organizadamente el lenguaje ordinario.
la literatura es una forma de arte que desafía los límites del lenguaje y que nos invita a descubrir nuevas formas de entender y de ver el mundo.
La literatura se define como un conjunto de obras escritas que emplean una serie de técnicas y recursos lingüísticos para crear un universo imaginario y comunicar ideas y emociones al lector.
Una de estas técnicas consiste en la violación organizada del lenguaje ordinario, lo que implica una ruptura con las normas y convenciones lingüísticas establecidas para dar lugar a una expresión más creativa y original.
Esta violencia organizada del lenguaje permite a los escritores experimentar con la forma y el contenido de sus obras, creando así una literatura rica y diversa que refleja las distintas visiones del mundo y de la vida de los autores.
En definitiva, la literatura es una forma de arte que desafía los límites del lenguaje y que nos invita a descubrir nuevas formas de entender y de ver el mundo.
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What equation is solved by the graphed systems of equations?
A. 7x+3=x+3
B. 7x-3=x-3
C. 7x+3=x-3
D. 7x-3=x+3
Answer:
Option C: 7x + 3 = x - 3
Step-by-step explanation:
We have to manually solve.
Option A: \(7x+3=x+3\)
\(7x - x = 3 - 3\\6x = 0\\x = 0\) -------------> False
Option B: \(7x-3=x-3\)
\(7x-x=3-3\\6x=0\\x=0\) ----------> False
Option C: \(7x+3=x-3\)
\(7x-x=-3-3\\6x=-6\\x=-1\)--------------------> True
Option D: \(7x-3=x+3\)
\(7x-x=3+3\\6x=6\\x=1\)--------------> False
Hence, after solving, it is shown that option C is the correct answer.
Answer:
C. 7x +3 = x -3
Step-by-step explanation:
Such an equation is graphed by resolving it into two equations:
p = q
becomes ...
y = p and y = q
__
use answer choices for a clueThe left-side expression in every answer choice has an x-coefficient of 7. When those expressions are written in equation form, they match the slope-intercept form ...
y = mx +b . . . . . . . line with slope m and y-intercept b
The line with slope 7 on the graph has a y-intercept of +3. Its equation will be ...
y = 7x +3
__
The right-side expression in the answer choices matches that of a line with a slope of 1. The line on the graph with a slope of 1 has a y-intercept of -3. In slope-intercept form, it is ...
y = x -3
The system of equations corresponding to the graph is ...
y = 7x +3y = x -3In the original p = q form, this is ...
7x +3 = x -3 . . . . . . . matches choice C
Please help I'm struggling with math and I need some clarity from someone
Since PS = RS, the triangle PRS is isosceles. This means the angles SPR and SRP are congruent.
The interior angles of any triangle sum to 180° in measure. So we have
∠SPR + ∠SRP + 90° = 180°
2 ∠SPR + 90° = 180°
2 ∠SPR = 90°
∠SPR = a = 45°
Function A and Function B are linear Functions. Function A is represented by the equation
y= -2x+w. Function B is represented by the graph. Which statement is true?
A. The slope of function A is the same as the slope of Function B.
B. The slope of Function A is negative and the slope of Function B is positive.
C. The slope of Function A and B are both positive.
D. The slope of Function A and B are both negative.
Function B
Function A
y = -2x+3
1
2
7
Your answer
Answer:
6.0 and the other things that you want me on my way 6.0 and if I can
Answer:
I think it is 6.0
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Student Council sells soft drinks at basketball games and makes $ 1.50 from each. If they pay $ 75 to rent the concession stand, how many soft drinks would they have to sell to make $ 250 profit?
F. 116
G. 117
H. 167
J. 217
Answer: 166 Soft Drinks
Step-by-step explanation:
250 ÷ 1.50 = 166
Identifiquen los lados correspondiente proporcionales y anoten las medidas que faltan para completar la tabla
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
De la imagen: Los lados ya están etiquetados en el diagrama y, por lo tanto, solo deben ingresarse en la tabla.
La suma de los ángulos de un triángulo es igual a 180 °; los ángulos en los triángulos son correspondientes, entonces;
Triángulo rojo:
Lado faltante = 3,75 cm
Triángulo verde:
12 cm
8 cm
Triángulo azul:
6 cm
4 cm
2,5 cm
Los ángulos que faltan:
Triángulo rojo:
180 - (135 + 28) °
180 ° - 173 °
= 17 °
Triángulo verde:
135 °; 28 °; 17 °
Triángulo azul:
135 °; 28 °
What is the probability of rolling an even number on a
standard dice? Give your answer in its simplest form.
X<-5
Graphing the inequality
Answer:
Draw the graph of line x=5 , which would be vertical line passing through (5,0) . Since x is less than but not equal to 5 , make it a dotted line and shade the region to the left.
Step-by-step explanation:
Carol starts with $50 and saves $10 each
week. Bill has $25 and save $15 each
week. For numbers 5a and 5b, determine
whether the statement is true or false,
a. Bill will never have more money
than Carol
True
False
b. Carol and Bill with have the same
amount of money at Week 6,
True
False
Answer:
a. F
b. F
Step-by-step explanation:
at 6 weeks carol has 110 and bill has 115, proving a&b wrong
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo
Use De Morgan's laws to write the negation of the following statement. She makes the bed, or I do not make the bed. O She makes the bed, or I make the bed. O If she does not make the bed, then I make the bed. She does not make the bed, and I make the bed. O She does not make the bed, or I make the bed.
De Morgan's laws are two rules in formal logic that involve negating statements. The first law states that the negation of a conjunction (an "and" statement) is equivalent to the disjunction (an "or" statement) of the negations of the individual components.
The second law states that the negation of a disjunction is equivalent to the conjunction of the negations of the individual components.
In this case, the given statement is "She makes the bed, or I do not make the bed." To apply De Morgan's laws, we need to negate this statement. According to the first law, the negation of the disjunction "She makes the bed, or I do not make the bed" is the conjunction of the negations of the individual components: "She does not make the bed, and I make the bed."Therefore, the negation of the original statement is "She does not make the bed, and I make the bed." This means that both she does not make the bed and I make the bed must be true in order for the negation to be true.
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Which situation represents a proportional relationship?
Answer:
c.... i am just smart
Find the gradient of the line that passes through (3, 7) and (1, 10).
Answer:
-1.5
Step-by-step explanation:
The gradient of a line can be found using the formula:
gradient = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
So for the line that passes through (3, 7) and (1, 10), the gradient can be found as:
gradient = (10 - 7) / (1 - 3)
gradient = 3 / -2
gradient = -1.5
So the gradient of the line that passes through (3, 7) and (1, 10) is -1.5.
write the slope-intercept form of the equation of the line through the given points.
Answer:
y = 4x - 7 (Answer C)
Step-by-step explanation:
First find the slope of this line. Note that as we go from (2, 1) to (3, 5), x (the 'run') increases by 1 and y (the 'rise') increases by 4.
Thus, the slope, m, is
m = rise / run = 4/1, or m = 4.
Apply the point-slope form of the equation of a straight line, since we now have both the slope and two points on the line:
y - k = m(x - h) becomes y - 1 = 4(x - 2)
Solving for y, we get: y = 4x - 8 + 1, or y = 4x - 7 (Answer C)
5.76 is 4.8% of what number?
Answer:
120
Step-by-step explanation:
Let the unknown number be x.
Therefore, if 5.76 is 4.8% of x:
\(\boxed{\begin{aligned}4.8\%\; \textsf{of} \; x&=5.76\\\\\implies \dfrac{4.8}{100}x&=5.76\\\\4.8x&=576\\\\x&=\dfrac{576}{4.8}\\\\x&=120 \end{aligned}}\)
So the unknown number is 120.