Answer:
for every minute it will cost 3 dollars
Step-by-step explanation:
c(x)=3x+2.00
The cost to get in the taxi is 2 dollars
The slope is 3
3x means that for every minute it will cost 3 dollars
What is the approximate area of the circle shown below?
Answer:
A = 616 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (14)^2
A = pi (196)
Using 3.14 as an approximation for pi
A = 3.14 *196
A =615.44
The nearest approximation is
A = 616 cm^2
Answer:
D 616 cm^2
Step-by-step explanation:
Area = pi r^2
= 14^2 * 3.142
= 615.832
Take a factor out of the square root: 48x^2 , where x≤0
Answer:
[tex]-4x\sqrt{3}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\sqrt{48x^2}[/tex]
Factor out the expression. Rewrite the expression as the product of a number times itself times another number. This will allow one to take factors out of the radical. Remember, the square root operation indicates that a number times itself equals the number under the radical. Bear in mind, the result of the square root operation must always be positive. Since (x) is negative, one has to multiply the result of the operation by (-1) to compensate for the fact that (x) is negative. Rewrite the value under the radical:
[tex]\sqrt{4*4*3*x^2}[/tex]
Take out the factors,
[tex]=-4x\sqrt{3}[/tex]
Factor 16p4 - 24p3. find the factor
Answer:
8p^3 ( 2p -3)
Step-by-step explanation:
16p^4 - 24p^3
8*2* p^3 *p - 3*8*p^3
Factor out the common terms
8p^3 ( 2p -3)
find the value of trigonometric ratio
Answer:
3/5
Step-by-step explanation:
Cos C = adjacent/hypotenuse
or, Cos C = 21/35 = 3/4
Answered by GAUTHMATH
What is the format of this proof?
Given: AB = BC
Prove: B is the midpoint of AC.
А
B
O two-column proof
O one-paragraph proof
O flowchart proof
two-paragraph proof
AB = BC
given
AB a BC
def. of a segs.
Bis the midpoint of AC
det of midpt
The solution is, The format of this proof is C. flowchart proof.
What is a flowchart proof?Flowchart Proof. A type of proof that makes use of a graphical illustration. Statements are placed in boxes, and the justification for each statement is written below the box. Arrows imply the logical flow of the statements.
here, we have,
given that,
Given: AB = BC
Prove: B is the midpoint of AC.
now, we have to find that, the format of this proof is what.
now, we know that,
Flowchart proofs are organized with boxes and arrows; every "statement" is inside the field and every "reason" is below every field. each statement in evidence permits every other subsequent statement to be made.
In flowchart proofs, this development is proven through arrows.
Hence, The solution is, The format of this proof is C. flowchart proof.
Learn more about Flowchart Proof here
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instruction Find m<HFG
Answer:
∠ HFG = 79°
Step-by-step explanation:
The inscribed angle HFG is half the measure of its intercepted arc, that is
∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°
Simplify -52 + 8|-1| + (-3).
URGENT
really need help
Answer:
Step-by-step explanation:
.007 = 7 x [tex]10^{-3}[/tex]
.07 = 7 x [tex]10^{-2}[/tex]
7 = 7 x [tex]10^{0}[/tex]
700 = 7 x [tex]10^{2}[/tex]
Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake
Answer:
The answer is "94.3".
Step-by-step explanation:
Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]
Calculating the total numbers of ill among them[tex]=50\\\\[/tex]
[tex]\therefore[/tex]
The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]
How do you find the volume of this pyramid with what is given? pls
Answer:
373.3333... in^3
Step-by-step explanation:
V = lwh / 3
V = 10 * 8 * 14 / 3
V = 1120 / 3
V = 373.3333... in^3
I'm probably wrong, I haven't done volume in a looong time.
Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:
Answer:
cost of a taco: $1.25
cost of a burrito: $2.50
Step-by-step explanation:
Let the cost of a taco be $t and the cost of a burrito be $b.
t +3b= 8.75 -----(1)
4t +2b= 10
Divide both sides by 2:
2t +b= 5
Making b the subject of formula:
b= 5 -2t -----(2)
Substitute (2) into (1):
t +3(5 -2t)= 8.75
Expand:
t +3(5) +3(-2t)= 8.75
t +15 -6t= 8.75
t -6t= 8.75 -15
-5t= -6.25
t= -6.25 ÷(-5)
t= 1.25
Substitute t= 1.25 into (2):
b= 5 -2(1.25)
b= 5 -2.5
b= 2.50
Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a
Answer:
The fourth option.
x + b/2a = +- sqrt((b^2 - 4ac)/(4a^2))
Step-by-step explanation:
Select the correct answer.
Which is the correct simplified form of the expression ?
A.
B.
C.
D.
Answer:
it should be letter b sorry if its wrong
the answer should be choice B
Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura. Calcular el área del cuadrado
El área del cuadrado es de 3 centímetros cuadrados.
Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:
Radio = diámetro / 2 3 = X/2 X = 6Hipotenusa del triángulo interno: 6 cmAplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.
L^2 + L^2 = 62L^2 = 6L^2 = 6/2L = √ 3L = 1.732Área de un cuadrado = L x L = L^2 = 3Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.
Aprende más en https://brainly.com/question/16405529
El área del cuadrado es de 18 centímetros cuadrados.
El procedimiento de resolución se basa en conocer que la Medida de la Diagonal de un Cuadrado inscrito es igual a la Medida del Radio del Círculo, lo cual permite determinar el valor de la medida del Cuadrado en función del Radio del Círculo. Finalmente, determinamos el Área del Cuadrado mediante su fórmula conocida.
Dado que existe un cuadrado inscrito en un círculo, la medida de la diagonal del cuadrado es igual a la medida del radio del círculo. Además, conocemos que un cuadrado está formado por 4 triángulos rectángulos con configuración angular 45-45-90. Entonces, la medida del lado del cuadrado se calcula mediante la siguiente relación geométrica:
[tex]l = \sqrt{2}\cdot R[/tex] (1)
Donde:
[tex]R[/tex] - Radio del círculo, en centímetros.
[tex]l[/tex] - Longitud del lado del cuadrado, en centímetros.
Por otra parte, la ecuación de área del cuadrado es igual a:
[tex]A = l^{2}[/tex] (2)
Donde [tex]A[/tex] es el área del cuadrado, en centímetros cuadrados.
Si sabemos que [tex]R = 3\,cm[/tex], entonces el área del cuadrado es:
[tex]l = \sqrt{2}\cdot (3\,cm)[/tex]
[tex]l = 3\sqrt{2}\,cm[/tex]
[tex]A = (3\sqrt{2}\,cm)^{2}[/tex]
[tex]A = 18\,cm^{2}[/tex]
El área del cuadrado es de 18 centímetros cuadrados.
He aquí una pregunta relacionada sobre el área del cuadrado: https://brainly.com/question/23915250
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1+6)
919+6)
9(1 +54)
9(1) + 9(54)
Answer:
9(1 +6)
Step-by-step explanation:
9 = 9 * 1
54 = 9 * 6
9 + 54 = (9*1 ) + (9*6) {9 is common in both terms}
= 9*(1 + 6)
What are the steps involved in multiplying/ dividing rational expressions??
Answer:
Multiplication:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction. Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Division:
Step 1: Completely factor both the numerators and denominators of all fractions.
Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.
Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.
Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.
solue for &
X(3 + X) = 3x + x²
3x+x^2=3x+x^2
3x-3x=x^2-x^2
which means x=0
express in kg: 3470 grams
4 kg 8 g
Answer:
Step-by-step explanation:
This Makes no sense but this is 4kg and 8g converted to Kg :
4kg - 8g = 4.008 kg
Someone help me with this
Answer:
(6,-3) and 5
Step-by-step explanation:
Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5
The recursive formula for a geometric sequence is: a = 4 an=an-1×3 What is the 3rd term of this sequence?
Answer:
36
Step-by-step explanation:
a1 = 4
an=an-1 *3
a2 = a1 *3 = 4*3 = 12
a3 = a2*3 = 12*3 = 36
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of thousand miles and a standard deviation of thousand miles. Complete parts (a) through (d) below.
Complete question is;
A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.
a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.
b) Interpret the z-score
c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?
d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.
Answer:
A) z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average
C) P(z > 2.5) = 0.0062
D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Step-by-step explanation:
A) We are given;
Population mean; μ = 55000
Sample mean; x¯ = 42000
Standard deviation; σ = 11000
Z-score formula is;
z = (x¯ - μ)/σ
z = (42000 - 55000)/11000
z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.
C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;
P(z > 2.5) = 1 - P(z < 2.5)
From p-values from z-score table, we have;
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.
Thus;
z = (85000 - 55000)/11000
z = 2.73
This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
A right cone has a slant height of 20 feet and the diameter of the base is 24 feet. Find the height of the right cone.
Step-by-step explanation:
Using Pythagoras theorem:
[tex] = \sqrt{{20}^{2} - {12}^{2} } [/tex]
[tex] = \sqrt{400 - 144}[/tex]
[tex] = \sqrt{256} [/tex]
[tex] = 16[/tex]
whats the perimeter and area of this shape?
Answer:
(4x4) + (6x11) = 82 for area
4+4+10+11+7+6= 42
Step-by-step explanation:
You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)
Solve by taking the square root of both sides: (x+3)^2 - 169 = 0
Answer:
x = 10 x = -16
Step-by-step explanation:
(x+3)^2 - 169 = 0
Add 169 to each side
(x+3)^2 - 169+169 = 0+169
(x+3)^2 =169
Take the square root of each side
sqrt((x+3)^2) =sqrt(169)
x+3 =±13
x+3 = 13 x+3 = -13
Subtract 3 from each side
x+3-3 = 13-3 x+3-3 = -13
x = 10 x = -16
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.
What is the area of a circle with a diameter of 20 inches if
[tex]\pi[/tex]
=3.1415
$\sf\underline\bold\blue{Information\:given\:in\:the\:question:}$
π =[tex]\sf{ 3.1415}[/tex]$\sf{Diameter = 20inches}$$\space$
$\sf\underline\bold\blue{What\:we\:have\:to\:find?}$
$\sf{Area\:of\:the\:circle.}$$\space$
$\sf\underline\bold\blue{Answer:}$
$\sf\small{Area\:of\:the\:circle\:is : 314.15}$$\space$
$\sf\underline\bold\blue{Calculations:}$
Here we have the value of the circle's diameter that is 20inches. So, first we have to calculate the radius of the circle using the formula :
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{Diameter}{2}$
$\space$
$\sf\underline\bold\blue{Calculating\:the\:required\:values:}$
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{20}{2}$
$\sf{Convert \: to \: the\:lowest\:term(Divide),}$
$\mapsto$ $\sf\underline\bold{Radius=10}$
☆Now we know the value of the radius . So now let's calculate the area of the circle.
$\space$
$\sf\bold{Area\:of\:circle:}$ π$\sf{ r \: ^{2} }$
$\sf\bold{Evaluating \: the\:required\:values:}$
$\sf\bold{Area\:of\:circle=3.1415(10)^2}$
$\space$
$\sf\bold{Area\:of\:the\:circle=3.1415\times10\times10}$
$\sf\bold{Now,}$
$\sf\bold{Area\:of\:the\:circle:3.1415\times100}$
$\space$
$\sf\underline\bold\green{Thus,Area\:of\:the\:circle\: is \: 314.15}$
____________________________
Help please please help me please
Answer:
[tex]\sqrt[2]{8}[/tex]
Step-by-step explanation:
Remember the basic format of a fraction raised to a fractional exponent:
[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]
Some terms to keep in mind are the following:
(a) is the base
(c) is the exponent
(b) is the index
Apply this information to the given problem:
[tex]2^\frac{3}{2}[/tex]
In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.
[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]
Simplify the term under the radical:
[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]
ative section 3. a) The angle of elevation of the top of a tree observed from a point 60 m away from its foot is 45. Find the height of the tree, b) The angle of depression at a noint on 11
Answer:
The height of the tree is is 60m
Step-by-step explanation:
Let's answer a, as it is the only complete question.
We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.
We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).
You can see that the adjacent cathetus to the 45° angle is equal to 60m
And the opposite cathetus is the measure we want to find.
Now you can remember the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
So to find the height of the tree we need to solve:
tan(45°) = H/60m
This is just:
tan(45°)*60m = H =60m
The height of the tree is is 60m
find the radius of a circle if the circumference is 44cm. (take π=22/7)
Answer:
The radius of the circle if the circumference is 44 cm will be 7 cm.
Step-by-step explanation:
➝ Circumference of the circle = 44 cm
➔ Circumference = 2πr [For finding radius]
Finding the radius:-
➜ Let radius be r.
➜ 44 = 2 × 22/7 × r
➜ Multiply 2 × 22/7
➜ 44 = 44/7 × r
➜ Taking 7 to LHS.
➜ 44 × 7 = 44 × r
➜ 308 = 44 × r
➜ Taking 44 to LHS.
➜ 308/44 = r
➜ 308/44 = 7
➜ 7 = r
➜ r = 7
surface area of cylinder
Answer:
The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].
Step-by-step explanation:
To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].
