Answer:
-2√2, or ≈-2.83
Step-by-step explanation:
Well, when t = 1.75, our equation should be [tex]d=4\sin{(\pi \cdot1.75)}[/tex].
Note that [tex]\pi\cdot1.75=\frac{7\pi}{4}[/tex]. Using the unit circle (attached), we can find that the value of sine at [tex]\frac{7\pi}{4}[/tex] radians is exactly [tex]-\frac{\sqrt2}{2}[/tex]. Plugging that value back into our equation gives us
[tex]d=4\cdot\left(-\frac{\sqrt2}{2} \right)=-\frac{4\sqrt2}{2}=-2\sqrt2[/tex]
So our answer is [tex]d=-2\sqrt2[/tex], in whatever units we're using to measure height.
Answer: 0.38 Meters
Step-by-step explanation:
plug 1.75 in for t and solve, do not convert into units as you need the height so meters is accurate.
d=0.38
What are the points for f(x)=3^(x-1)-2
Answer: (0, -1 [tex]\frac{2}{3}[/tex]), (1, -1), (2, 1)
Step-by-step explanation:
Set the exponent equal to zero - that is your anchor point.
Then choose an x-value less than and greater than the anchor point.
[tex]\left\begin{array}{c|c|l}&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^{0-1}-2=3^{-1}-2=\frac{1}{3}-2 = -1\frac{2}{3}}\\\\anchor\ point&1&3^{1-1}-2=3^{0}-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^{2-1}-2=3^{1}-2=3-2 = 1}\end{array}\right[/tex]
in everyday English, interpret the financial meaning of the
y-intercept in the equation y=0.10x+9.50
Final answer:
The y-intercept in the equation y=0.10x+9.50 represents an initial financial value of $9.50, such as a fixed charge or baseline cost, before any variable amounts are factored in.
Explanation:
In everyday English, the financial meaning of the y-intercept in the equation y=0.10x+9.50 refers to the initial amount or fixed cost that does not depend on the quantity represented by x. In other words, when x, which might represent the quantity of goods sold or the number of hours worked, is zero, the y-intercept indicates a starting value of $9.50. This could be a baseline charge, a fixed fee, or some kind of initial cost before any additional variables are added to the equation.
prove that (x-2)is factor of p (x)=2x³-3x²-17x+30
Answer:
P(2)=0 then x-2 is a factor of P(x)
Step-by-step explanation:
To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.
2(2)^3-3(2)^2-17(2)+30
2(8)-3(4)-34+30
16-12-34+30
4-34+30
-30+30
0
Since P(2)=0 then x-2 is a factor
Use the property of exponents to rewrite the expression
(-4qr)(-4qr)(-4qr)(-4qr)
Answer:
(-4qr)^4
Step-by-step explanation:
(-4qr)(-4qr)(-4qr)(-4qr)
There are 4 sets of -4qr being multiplied together
(-4qr)^4
Please please help me
Answer:
multiply 2/5 by 4
Step-by-step explanation:
When we divide fractions, we use copy dot flip
2/5 ÷ 1/4
Copy dot flip
2/5 * 4/1
For this case we must find the quotient of the following expression:
[tex]\frac {\frac {2} {5}} {\frac {1} {4}} =[/tex]
Applying double C we have:
[tex]\frac {2 * 4} {5 * 1} = \frac {8} {5}[/tex]
This is equivalent to multiplying the following: [tex]\frac {2} {5} * 4 = \frac {8} {5}[/tex]
Answer:
OPTION A
please help i don know how to do this
thanks
Answer
The answer to this question is not one of your answer choices, but the answer is 240.1413932 square centimeters.
Step-by-step explanation:
A=πr(r+√h² + r²) [radical wrapped around h² + r²]
A triangle ABC has two side lengths of 28 ft. and 24 ft. If angle C is 91°, what's the measurement of angle B?
Answer:
B = 58.9
Step-by-step explanation:
We are given that a triangle ABC has two side lengths of 28 ft. and 24 ft. with angle C measuring 91°. We are to find the measure of angle B.
AB = 28 ft
AC = 24 ft
For this, we will use the sine formula:
[tex]\frac{sin B}{24} = \frac{sin91}{28}[/tex]
[tex]sin B = \frac{sin91 \times 24}{28}[/tex]
[tex] sin B = 0 . 8 5 7 [/tex]
[tex] B = sin' 0 . 8 5 7 [/tex]
B = 58.9
Which functions could represent a reflection over the y axis of the given function
Answer:
g(x) = 1/2*(4)^(–x) and
g(x) =1/2*(1/4)^(x)
Please, see attached picture.
Step-by-step explanation:
Your full question is attached in the picture below
To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.
See, second image.
The answers are
g(x) = 1/2*(4)^(–x) and
g(x) =1/2*(1/4)^(x)
The equation y2/100+x2/4 =1 represents an ellipse. Which points are the vertices of the ellipse? (−10, 0) and (10, 0) (−2, 0) and (2, 0) (0, −10) and (0, 10) (0, −2) and (0, 2)
The vertices of the ellipse (10, 0), (-10, 0), (0, 10), and (0, -10) can be determined using the center and major axes of the ellipse.
Explanation:The vertices of the ellipse are at (10, 0), (-10, 0), (0, 10), and (0, -10). To find the vertices of an ellipse, you use the major and minor axes that pass through the center of the ellipse. In this case, the center is (4.619, 5.425), and the major axes are inclined at an angle of 128° 51' to the x-axis.
eh best describes the range of the function
Which best describes the range of the function f(x)=2(1/4)x
after it has been reflected over the y-axis?
Answer:
(0,∞)
Step-by-step explanation:
The problems tells us to find the range of the function
f(x)=2*(1/4)^x
after it has been reflected over the y-axis
This means
g(x) = 2*(1/4)^(-x)
To quickly find the answer, we can plot the equation and examine the range in the graph.
The range of both functions is the same
(0,∞)
See attached picture
Question 6 (5 points)
What is the slope of the line through (–4, 3) and (5, 3)?
Question 6 options:
a)
undefined
b)
0
c)
1
d)
9
[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-3}{5-(-4)}\implies \cfrac{0}{5+4}\implies \cfrac{0}{9}\implies 0[/tex]
Answer:
b 0
Step-by-step explanation:
To find the slope between 2 points
m= (y2-y1)/(x2-x1)
= (3-3)/(5--4)
= (3-3)/(5+4)
= 0/9
=0
The slope is 0
Which of the following is the equation for a circle with a radius of rand center
at (h, v)?
Answer:
[tex]\large\boxed{(x-h)^2+(y-v)^2=r^2-\bold{Standard\ form}}\\\boxed{x^2+y^2-2hx-2vy+h^2+v^2-r^2=0-\bold{General\ form}}[/tex]
Step-by-step explanation:
[tex](x-h)^2+(y-v)^2=r^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\x^2-2hx+h^2+y^2-2vy+v^2=r^2\qquad\text{subtract}\ r^2\ \text{from both sides}\\\\x^2+y^2-2hx-2vy+h^2+v^2-r^2=0[/tex]
The circle below is centered at the point (8, 4) and has a radius of length 4.
What is its equation?
Answer:
(x - 8)^2 + (y - 4)^2 = 16.
Step-by-step explanation:
The standard form can be written as:
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the center and r = the radius.
So here we have a = 8, b = 4 and r = 4.
(x - 8)^2 + (y - 4)^2 = 4^2
(x - 8)^2 + (y - 4)^2 = 16.
What is the solution to this Logarithmic Equation?
(Those are L's infront of the N)
ln x + ln x = 0
Answer:
x = 1
Step-by-step explanation:
ln x + ln x = 0
2ln x = 0
ln x = 0
recall ln x = [tex]log_{e}[/tex]x
so equation becomes
[tex]log_{e}[/tex]x = 0
or [tex]e^{0}[/tex]=x
since anything raised to the power of zero = 1
x = 1
Answer:
x = 1
Step-by-step explanation:
We are to find the solution of the following logarithmic equation:
[tex] ln ( x ) + l n ( x ) = 0 [/tex]
We will add the similar elements to get:
[tex] 2 l n ( x ) = 0 [/tex]
Dividing both sides by 2 and simplify to get:
[tex] \frac { 2 l n ( x ) } { 2 } = \frac { 0 } { 2 } [/tex]
[tex]ln(x)=0[/tex]
Applying the rule [tex]a=log_b(b^a)[/tex] to get:
[tex]0=ln(e^0)=ln(1)[/tex]
[tex]ln(x)=ln(1)[/tex]
Here the logs have the same base, so:
x = 1
Two cylinders with different radii have the same
volume.
Which statement is true?
A.
The bases of the two cylinders must have the
same areas.
B.
The cylinder with the smaller radius must be
taller.
C.
The cylinder with the larger radius must be
taller.
D.
The heights of the two cylinders must be
equal.
What’s 0.85 in simplest form
Answer:
17/20
Step-by-step explanation:
To find the simplest form of 0.85 you need to turn it into a fraction.
To turn it into a fraction you put 85 over 100 since 0.85 is in the hundredths place.
85/100 can be simplified to 17/20 because 85/5 is 17 and 100/5 is 20
Answer:
17/20
Step-by-step explanation:
The simplest form of a number is a fraction. .85 as a fraction is 85/100. Simplifying this into 17/20 puts it into its simplest form.
A hockey goalie blocks 75% of shots at the goal. How many shots can the goalie predict she or he will block in 75 tries
Answer:
56
Step-by-step explanation:
75% of 75 tries = 0.75×75 = 56.25
Rounding, he can expect to block 56 shots.
What is the measure of angle D?
52o
54o
57o
126o
For a given trapezium ABCD, measure of angle [tex]D = 52\°[/tex].
What is an angle?" An angle is defined as when two rays meet at a common point known as vertex."
According to the question,
Given trapezium ABCD,
Measure of angle [tex]BAD= 128\°[/tex]
Measure of angle [tex]ABC= 126\°[/tex]
Measure of angle [tex]BCD= 54\°[/tex]
Sum of all the interior angles in a trapezium is equal to [tex]360\°[/tex].
Therefore,
[tex]\angle ABC + \angle BCD +\angle CDA + \angle DAB = 360\°\\\\\implies 126\°+54\°+ \angle CDA + 128\°=360\°\\\\\implies \angle CDA = 360\° - 308\°\\\\\implies \angle CDA = 52\°[/tex]
Hence, Option (A) is the correct answer.
Learn more about angle here
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Find measure of angle A
Round to the nearest degree
To solve this question, we must use the cosine rule:
cos(A) = (b^2 + c^2 - a^2)/2bc, where A is the angle you want to find, a is the side opposite that angle, and b and c are the other two sides of the triangle.
Given that we know that a = 6, b = 12, c = 14, we can substitute these values into the formula to get:
cos(A) = (12^2 + 14^2 - 6^2)/2(12)(14)
cos(A) = (144 + 196 - 36)/336
cos(A) = 304/336
cos(A) = 19/21
A = cos-1(19/21)
A = 25° (to the nearest degree)
Help ASAP please! Thanks in advance.
In which set are ALL of the numbers solutions to the inequality x < -3?
Step-by-step explanation:
The second one, of course. Because the inequality means that x must be smaller than -3. So in negative numbers, numbers are getting smaller when they go far from 0. So [tex]-8\frac{2}{3},-6,-4, -3,5[/tex] are smaller than -3 because the distance between 0 and these numbers are more than he distance between zero and -3. Good luck :)
7. If the value of x varies directly with the value of y, and x = 3 when y = 21. What is the valu
y, and x = 3 when y = 21. What is the value of x when y =
105?
Answer:
15
Step-by-step explanation:
Because x=y÷7
i.e,105÷7=15
Which value of x is a solution of the inequality?
4x+7≥35
x = 6
x = 7
x = 3
x = 0
Answer:
x = 7
Step-by-step explanation:
Just try all the choices and see which one gives a valid answer
4x+7≥35
x = 6 : 4 (6) + 7 = 31 is NOT ≥35 (not valid)
x = 7 : 4 (7) + 7 = 35 IS ≥35 (valid) (ANSWER)
x = 3 : 4 (3) + 7 = 19 is NOT ≥35 (not valid)
x = 0 : 4 (0) + 7 = 7 is NOT ≥35 (not valid)
Answer:
x = 7
Step-by-step explanation:
Just try all the choices and see which one gives a valid answer
4x+7≥35
x = 6 : 4 (6) + 7 = 31 is NOT ≥35 (not valid)
x = 7 : 4 (7) + 7 = 35 IS ≥35 (valid) (ANSWER)
x = 3 : 4 (3) + 7 = 19 is NOT ≥35 (not valid)
x = 0 : 4 (0) + 7 = 7 is NOT ≥35 (not valid)
What is -a^-2 if a = -5? (PLEASE HELP WILL MARK BRAINLIEST!!!)
Answer:
-1/25
Step-by-step explanation:
-a^-2
-(-5)^-2
=-1/25
Solve: In 2x + In 2 =0
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• [tex]log_{b}[/tex] = n ⇔ x = [tex]b^{n}[/tex]
Given
ln 2x + ln 2 = 0
ln(2x × 2) = 0
ln 4x = 0
4x = [tex]e^{0}[/tex] = 1 ( divide both sides by 4 )
x = [tex]\frac{1}{4}[/tex]
Help me I need to pass so I can go on to the next thing plz someone help me
Answer:
i cant see the picture
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The scale factor is the ratio of the corresponding sides of the image to the original, that is
scale factor = [tex]\frac{CA'}{CA}[/tex] = [tex]\frac{4+16}{4}[/tex] = [tex]\frac{20}{4}[/tex] = 5
Which statement best describes a square?
A. A special rectangle that has four right angles
B. A special trapezoid that has four sides of equal length
C. A special rectangle that has four sides of equal length
D. A special trapezoid that has four right angles
Answer:
I believe its B
I hope this helped :)
option C.
The statement that best describes a square is: A special rectangle that has four sides of equal length. This statement aligns with the definition of a square within the field of geometry, where a square is understood as a type of rectangle with all sides being the same length. Therefore, the correct answer is C. A special rectangle that has four sides of equal length.
A square indeed has four right angles, similar to a rectangle. By extension, it has congruent opposite sides and equal angles, but the defining feature that differentiates a square from other rectangles is the fact that all four sides are of equal length. The concept of rectangles forming squares can be seen in the given reference, implying that equal rectangles can be arranged to form a square - a concept important in understanding how a square is a special case of a rectangle.
Substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t+3) 4t+12 Which statements are true? Check all that apply. The value of both expressions when t=3 is 32. The two expressions are not equivalent. The value of both expressions when t=5 is 15. The value of both expressions when t=5 is 23. The two expressions are equivalent. The value of both expressions when t=3 is 24.
Answer:
Answers are:
The value of both expressions when t=3 is 32.
The the value of both expressions when t=3 is 24.
The two expressions are equivalent.
Step-by-step explanation:
These answers are 100% correct. I just finished my quiz. I hope this helps
Please mark me brainlyest :)
The correct statements are that, both the equations are equivalent when the value of t is taken 3 and The value of both the equations is 24 when t is taken as 3.
So, the correct options that match the statement above are E and F.
Simplification of expressions. Taking the value of t as 3 in both the equations, we get,[tex]4(t+3)\\\\4(3+3)\\\\\\4\ \rm x\ 6=24[/tex]Now, in the second expression, [tex]4t+12\\\\4\ \rm x\ 3+12\\\\12+12=24[/tex] Whereas, when the value of t is taken as 5 the values obtained are as 23 and 32 respectively.Hence, the correct options are E and F that the equations are of both the values when t is 3 is obtained as 24. And both the expressions are equivalent when t is taken as 3.
Learn more about Algebraic expressions here:
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Helaine graphed the equation 12x - 4y = 3. What was the slope of Helaine's line?
The slope of the graph is
Answer:
The slope of this line is 3.
Step-by-step explanation:
Solve 12x - 4y = 3 for y to obtain the equation in slope-intercept form:
Add 4y to both sides, obtaining 12x = 3 + 4y
Subtract 3 from both sides: 12x - 3 = 4y
Finally, divide all terms by 4: y = 3x - 3/4
The slope of this line is 3.
Answer: The slope of the graph is 3.
Step-by-step explanation:
The equation of a line in slope intercept for is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line.
The given equation of the line graphed by Helaine = [tex]12x - 4y = 3[/tex]
Now, rewrite the above equation in slope-intercept form by adding 4y and subtracting 3 from both sides , we get
[tex]4y=12x-3[/tex]
Divide 4 on both sides , we get
[tex]y=3x-\dfrac{3}{4}[/tex] which is the slope-intercept form.
[tex]\Rightarrow\text{Slope}=3[/tex]
Hence, the slope of Helaine's line =3
Find the x-intercepts of the parabola with
vertex (-3,-14) and y-intercept (0,13).
Write your answer in this form: (x1,y1),(X2,y2).
If necessary, round to the nearest hundredth.
Answer:
(-0.84, 0) and (-5.16, 0).
Step-by-step explanation:
Factor the polynomial expression x6 – x3 – 20
Answer:
x6 − x3 − 20 = (x3)2 − x3 − 20 = (x3 + 4)(x3 − 5)
Step-by-step explanation:
In this trinomial, the exponent of the first term, 6, is double the exponent in the second term, 3. And, the third term contains no variables. So, we can factor the expression as we would a quadratic, but treating x3 as if it were x:
Answer:
(x³ - 5)(x³ + 4)
Step-by-step explanation:
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x³ term (- 1)
The factors are - 5 and + 4, since
- 5 × 4 = - 20 and - 5 + 4 = - 1, hence
[tex]x^{6}[/tex] - x³ - 20 = (x³ - 5)(x³ + 4)