Answer:
p=9
Step-by-step explanation:
p is equivalent to 9
two hummingbirds just finished drinking some nectar from a clump of flowers. the first bird flies away east at 8 miles per hour. the second flies north at 6 miles per hour. how many minutes will it take for the birds to be 25 miles apart?
Let's call the time it takes for the birds to be 25 miles apart t, in hours. In this time, the first bird will fly a distance of 8t miles to the east, and the second bird will fly a distance of 6t miles to the north.
To determine t, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the distance between the birds) is equal to the sum of the squares of the other two sides.
So, for the two birds to be 25 miles apart, we have:
25^2 = (8t)^2 + (6t)^2
25^2 = 64t^2 + 36t^2
25^2 = 100t^2
t^2 = 25^2 / 100
t^2 = 0.25
t = √0.25
t = 0.5
So, it will take the birds 0.5 hours, or 30 minutes, to be 25 miles apart.
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how to find x in 64°,50° and 2x
Answer:
x = 33 degree
Step-by-step explanation:
angles of a triangle = 64 degree , 50 degree , 2x
64 + 50 + 2x = 180 degree (sum of interior angles of a triangle)
114 + 2x = 180
2x = 180 - 114
x = 66/2
x = 33 degree
to find 2x
=2*33
=66 degree
Answer:
33
Step-by-step explanation:
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
What is the simplified form of the following expression? 6m² + 7.2n - 4n+2m2-n
Answer:
6m² + 2.2n + 4m
Step-by-step explanation:
this the answer
The parking lot is 348 centimeters long in the drawing. The actual parking lot is 120 meters long. What scale did Angie use for the drawing?
Angie used a scale of 1:344 in her drawing of the parking lot, where 1 centimeter represents 344 centimeters in reality.
To determine the scale used in Angie's drawing, we can compare the length of the parking lot in the drawing (348 centimeters) to its actual length (120 meters). We need to convert the actual length to centimeters for an accurate comparison.
Since 1 meter is equal to 100 centimeters, the actual length of the parking lot is 120 meters * 100 centimeters/meter = 12,000 centimeters. Dividing the length of the drawing (348 centimeters) by the actual length in centimeters (12,000 centimeters) gives us a scale of 1:34.4.
However, the question states that the length of the parking lot in the drawing is 348 centimeters, so the scale used by Angie is 1:344 (348 centimeters = 1 meter).
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consider the infinite geometric series: what is a1? what is r? find the following partial sums: s2
An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.
The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.
So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.
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Write an equation in slope-intercept form of the line that passes through the points (-3, – 7) and (1,9).
Answer:
y = 4x + 5
Step-by-step explanation:
As we move from the point (-3, -7) to the point (1, 9), x increases by 4 and y increases by 16. Thus, the slope of the desired line is m = rise / run = 16/4 = 4.
The slope-intercept form is y = mx + b. We must find b.
Here, m = 4, x = 1 and y = 9:
9 = 4(1) + b, so b = 5, and the desired equation is thus
y = 4x + 5
Answer:
y=3x+6
Step-by-step explanation
graph to find the slope and y-intercept
Question 5 of 10
Which pair of functions are inverses of each other?
O A. f(x) = 2 + 15 and g(x) = 12x - 15
O B. f(x) = √3x and g(x) = () ³
O c. f(x) = 3 - 10 and g(x) = +10
3
D. f(x) = 11x-4 and g(x) = +4
The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11
To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.
Let's test each option:
Option A:
f(x) = x/2 + 15
g(x) = 12x - 15
f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x
g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x
Option B:
f(x) = ∛3x
g(x) = (x/3)^3 = x^3/27
f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x
g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x
Option C:
f(x) = 3/x - 10
g(x) = (x + 10)/3
f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x
g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x
Option D:
f(x) = 11x - 4
g(x) = (x + 4)/11
f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x
g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x
Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:
D. f(x) = 11x - 4 and g(x) = (x + 4)/11
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I need an answer asap!!
Answer:
y = -3/2x + b
Step-by-step explanation:
To find slope intercept you take the amount it goes up or down over the amount left of right, the 2 closest points i found were 0,3 and 2,0
so it goes down 3 (-3) and right 2 (2)
so y = -3/2x + b
b = wherever it intercepts the y axis (0,3)
y = -3/2x + b
-- Gage Millar, Algebra 1/2 tutor
The answer is : \(y = - \frac{3}{2}x +3\)
ok done. Thank to me :>
Find the equation of the line, given the following information:
Passes through (1,4) and is parallel to y = 5x + 2.
Answer:
Step-by-step explanation:
y - 4 = 5(x - 1)
y - 4 = 5x - 5
y = 5x - 1
Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat. Let w represent the number of acres of wheat and c represent the number of acres of corn. Identify two inequalities that represent this situation
The two inequalities that represent given situation:
w + c ≤ 32
w < 11
In this question we have been given Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat.
We need to identify two inequalities that represent this situation.
Let w represents the number of acres of wheat and c represent the number of acres of corn.
Johanna will plant up to 32 acres on her farm with wheat and corn:
w + c ≤ 32
Fewer than 11 acres will be planted with wheat:
w < 11
Therefore, the two inequalities that represent given situation:
w + c ≤ 32
w < 11
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I WILL GIVE BRAINLIEST PLEASE ANSWER ASAP
Which equation can be used to solve for x in the following diagram?
A) 3x + (8x - 20) = 90
B) 3x = (8x - 20)
C) 3x + 90 = (8x - 20)
D) 3x + (8x - 20) = 180
Answer:
Step-by-step explanation:
It’s c
The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is directly proportional to the time.
True
False
ASAP
Answer:
true
Step-by-step explanation:
did the test
Answer: false
Step-by-step explanation:
Please help ASAP! The terminal side of an angle θ in standard position passes through the point (2,-5). calculate the values of the six trigonometric functions for angle θ.
Answer:
\(sin(x)=\frac{opp}{hyp}=\frac{5}{\sqrt{21}}=\frac{5\sqrt{21}}{21}\\cos(x)=\frac{adj}{hyp}=\frac{2}{\sqrt{21}}=\frac{2\sqrt{21}}{21}\\tan(x)=\frac{opp}{adj}=\frac{5}{2}\\csc(x)=\frac{hyp}{opp}=\frac{\sqrt{21}}{5}\\sec(x)=\frac{hyp}{adj}=\frac{\sqrt{21}}{2}\\cot(x)=\frac{adj}{opp}=\frac{2}{5}\)
Step-by-step explanation:
Start by drawing out the triangle on the graph:
(See picture)
(By the drawing you can judge me that I am a really bad artist)
Theta and the side lengths are labeled, the hypotenuse has a length of √21 by Pythagora's theorem. Now, time to put everything to the trigonometric functions:
\(sin(x)=\frac{opp}{hyp}=\frac{5}{\sqrt{21}}=\frac{5\sqrt{21}}{21}\\cos(x)=\frac{adj}{hyp}=\frac{2}{\sqrt{21}}=\frac{2\sqrt{21}}{21}\\tan(x)=\frac{opp}{adj}=\frac{5}{2}\\csc(x)=\frac{hyp}{opp}=\frac{\sqrt{21}}{5}\\sec(x)=\frac{hyp}{adj}=\frac{\sqrt{21}}{2}\\cot(x)=\frac{adj}{opp}=\frac{2}{5}\)
(Suppose that x is theta as I can't type it)
By some basic understanding that's all that I can do.
Nork Facior out the GCF from the polynomial a^(5)b^(7)-a^(3)b^(2)+a^(2)b^(6)-a^(2)b^(2)
The GCF of the polynomial a^(5)b^(7)-a^(3)b^(2)+a^(2)b^(6)-a^(2)b^(2) is a^(2)b^(2), and the factored form of the polynomial is a^(2)b^(2)(a^(3)b^(5)-a+b^(4)-1).
The GCF, or greatest common factor, is the largest factor that all terms in a polynomial have in common. In this case, we need to find the GCF of the polynomial a^(5)b^(7)-a^(3)b^(2)+a^(2)b^(6)-a^(2)b^(2).
First, we need to look at the exponents of each term to determine the GCF. The smallest exponent for a is 2, and the smallest exponent for b is 2. Therefore, the GCF for this polynomial is a^(2)b^(2).
Next, we need to factor out the GCF from each term in the polynomial. This is done by dividing each term by the GCF and then multiplying the GCF by the resulting polynomial.
So, the factored form of the polynomial is:
a^(2)b^(2)(a^(3)b^(5)-a+b^(4)-1)
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shawndra made the two statements to marcella: it is not possible to draw a trapezoid that is a rectangle it is possible to draw a square that is a rectangle. marcella said that both statements are possible: it is possible to draw a trapezoid that is a rectangle it is possible to draw a square that is a rectangle. who is correct? explain your answer using the properties of quadrilaterals.
Shawndra is correct
(A) It is not possible to draw a trapezoid that is a rectangle true.
(B) it is possible to draw a square that is a rectangle true.
A. A trapezoid cannot be drawn as a rectangle.
The statement is true because we cannot draw a trapezoid that is a rectangle as a rectangle is a parallelogram with two pairs of parallel sides having opposite sides equal in length whereas a trapezoid is a quadrilateral with exactly one pair of parallel sides.
B. A square can be drawn as a rectangle.
The statement is true because we can draw a square that is a rectangle as any parallelogram with right angles is referred to be a rectangle whereas a parallelogram with right angles that has two pairs of opposite sides is a square. Despite being a unique type of rectangle with equal-length sides, squares are all rectangles.
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can you help me with this, please?
Answer:
i have did thiskmlm'kl
Step-by-step explanation:
alot
Escribí qué cálculos podés ingresar en una calculadora en la que no funciona la tecla + para obtener los resultados de las siguientes cuentas. a. 6+6+6+6+6+6+6+6+6+6 b. Sumar 17 veces el número 32. c. (-7)+(-7)+(-7)+(-7)+(-7) d. Sumar 19 veces el número 3. e. Sumar 19 veces el número 11. f. (-8)+(-8)+(-8)+(-8)+(-8)+(-8)
Answer:
a. \(6+6+6+6+6+6+6+6+6+6 = 6\times 10\)
b. \(17\times 32\)
c. \((-7)+(-7)+(-7)+(-7)+(-7) = (-7)\times 5\)
d. \(3\times 19\)
e. \(11\times 19\)
f. \((-8)+(-8)+(-8)+(-8)+(-8)+(-8) = (-8)\times 6\)
Step-by-step explanation:
Recordemos que la multiplicación es una operación derivada de la adición, podemos decir que la multiplicación es una forma abreviada de la adición. Por ejemplo, si hallamos la siguiente operación:
\(a\times b = c\) (Ec. 1)
Es equivalente a decir "a es sumada b veces". En el caso de que tanto a como b sean números enteros, siendo b un número natural, es equivalente a decir que:
\(a \times b = \Sigma \limits_{i = 1}^{b} a\) (Ec. 2)
Ahora, procedemos a analizar cada caso:
a. 6+6+6+6+6+6+6+6+6+6
Aquí puede verse 6 es sumado 10 veces, entonces tenemos que:
\(6+6+6+6+6+6+6+6+6+6 = 6\times 10\)
b. Sumar 17 veces el número 32.
\(17\times 32\)
c. (-7)+(-7)+(-7)+(-7)+(-7)
Aquí puede verse que -7 es sumado 5 veces, entonces tenemos que:
\((-7)+(-7)+(-7)+(-7)+(-7) = (-7)\times 5\)
d. Sumar 19 veces el número 3.
\(3\times 19\)
e. Sumar 19 veces el número 11.
\(11\times 19\)
f. (-8)+(-8)+(-8)+(-8)+(-8)+(-8)
Aquí puede verse que -8 es sumado 6 veces, entonces tenemos que:
\((-8)+(-8)+(-8)+(-8)+(-8)+(-8) = (-8)\times 6\)
DIRECTIONS: Type your answer in the box below.
Percy planted 4 tomato plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted? Round your answer to the nearest whole percent.
Answer:
175%
Step-by-step explanation:
The formula for Percent increase =
Final value - Initial value/Initial value × 100
Final value = 11 tomato plant
Initial value = 4 tomato plant
Percent Increase = 11 - 4/4 = 100
= 7/4 × 100
= 175%
Answer:
ur super not talanted
Step-by-step explanation:
Nevaeh conducted a scientific experiment. For a certain time, the temperature of a
compound rose 24 degrees every 14 hours. How much did the temperature of the
compound rise in one hour? Enter your answer as a whole number, proper fraction,
or mixed number in simplest form.
hAnswer:hi man don;t know anyting
Step-by-step explanation:
there is a 40% chance of getting stuck in traffic when leaving the city. on two separate days, what is the probability that you get stuck in traffic both days? a. 0.16 b. 0.40 c. 0.20 d. 0.80
Answer:
A
Step-by-step explanation:
40% = 40/100 = 4/10 = 2/5
2/5 * 2/5 = 4/25 = 0.16
The graph shows which inequality? The vertex is (-4, -3)
Refer to the attachments.
Knowledge Check Let (-4,-7) be a point on the terminal side of 0. Find the exact values of cos0, csc 0, and tan 0. 0/6 cose = 0 S csc0 = 0 tan 0 11 11 X
The (-4, -7) is a point on the terminal side of θ, we can use the values of the coordinates to find the trigonometric ratios: cos(θ) = -4√65 / 65, cosec(θ) = -√65 / 7, and tan(θ) = 7/4,
Using the Pythagorean theorem, we can determine the length of the hypotenuse:
hypotenuse = √((-4)^2 + (-7)^2)
= √(16 + 49)
= √65
Now we can calculate the trigonometric ratios:
cos(θ) = adjacent side / hypotenuse
= -4 / √65
= -4√65 / 65
cosec(θ) = 1 / sin(θ)
= 1 / (-7 / √65)
= -√65 / 7
tan(θ) = opposite side / adjacent side
= -7 / -4
= 7/4
Therefore, the exact values of the trigonometric ratios are:
cos(θ) = -4√65 / 65
cosec(θ) = -√65 / 7
tan(θ) = 7/4
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Solve the inequality.. 8a + 2(1- 5a) ≤ 20 Please helpp
and thank you!
Answer:
brainleist
Step-by-step explanation:
Answer:
8a+2(1−5a)≤20. 8a+2−10a≤20. 8a−10a+2−2≤20−2. −2a≤18. −2a÷−2≥18÷−2. a≥−9.
Step-by-step explanation:
The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area?
Step-by-step explanation:
Given that,
The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)
The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)
We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.
So,
\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)
So, the rate of \(1.5\ \text{yard}^2\).
Help! I'm not doing so well in my math class. :(
Answer:
one solution, x= -4
Step-by-step explanation:
Answer:
One solution, x = -4
Step-by-step explanation:
6x + 32 = -2x -- Minus 6x from both sides
32 = -8x -- Divide -8 on both sides
-4 = x
Which equation does not belong with the other three?
• 2^x=4^(x+6)
• 5^(3x+8)=5^(2x)
• 3^4 = x +4^2
• 2^(x-7)=2^7
Explain your reasoning.
• It is the only one without an unlike base.
• It is the only one where the value of x is zero.
• It is the only one where the value of x is negative.
• It is the only one that is not an exponential equation.
The third equation It is the only equation in the list that is not an exponential one.
What does the exponential equation mean?
An exponential equation is one that has a variable in the exponent. For example, the exponential equation y = x5 includes the integer 5 as the exponent instead of a variable, making it not be an exponential equation, whereas the exponential equation y = 5x has the variable x as the exponent (also known as "5 to the power of x").
An exponential equation is one with the formula f(x)=ab^x for positive real values a and b.
study up on exponential equations.
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one of the five quadratics below has a repeated root. (the other four have distinct roots.) what is the repeated root? \begin{align*}
Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.
Quadratics representing repeated roots has discriminant equals to zero.
Standard quadratic equation is:
ax² + bx + c = 0
Discriminant 'D' = b² - 4ac
option a. -x²+ 18x + 81
Discriminant
'D' = 18² - 4(-1)(81)
= 324 + 324
= 648
D>0 has distinct roots.
option b. 3x²- 3x - 168
Discriminant
'D' = (-3)² - 4(-3)(-168)
= 9 - 2016
= -2007
D< 0 has distinct roots.
option c. x²- 4x - 4
Discriminant
'D' = (-4)² - 4(1)(-4)
= 16 + 16
= 32
D>0 has distinct roots.
option d. 25x²- 30x + 9
Discriminant
'D' = (-30)² - 4(25)(9)
= 900 - 900
= 0
D = 0 has repeated roots.
Repeated roots are:
x = ( -b ±√D ) / 2a
= [-(-30)±√0 ]/ 2(25)
= 30/ 50
= 3/5.
option e. x² - 14x + 24
Discriminant
'D' = (-14)² - 4(1)(24)
= 196 - 96
= 100
D>0 has distinct roots.
Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.
The above question is incomplete, the complete question is:
One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
a. -x²+ 18x + 81
b. 3x² - 3x - 168
c. x² - 4x - 4
d. 25x² - 30x + 9
e. x² - 14x + 24
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20 points!! please help, will give brainliest
Answer:
(-0.8, 2.2)
Step-by-step explanation:
Where the two lines intersect is the solution to the System of Equations.
Answer:
the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left
14 4/9+ 25 1/6+ 7 11/18=
Answer:
47 2/9
hope this help :)
Answer:
47 2/9
Step-by-step explanation:
( 14 + 25 + 7) + ( 4/9 + 1/6 + 11/18)
46 + 11/9
46 + 1 2/9
47 2/9
Please find α/beta. EXPLAIN all the steps and use a trigonometric function.(give the value, explain and show all steps with a sentence for brainiest) ty
Answer: I don't know
Step-by-step explanation: Use the fact that 180° is equivalent to \pi radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.
225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad
\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}
I know this is probably not right sorry if I wasted your time cause my friend told me this.