Answer:
f(-1) = (1/4)^x = 4
Step-by-step explanation:
When solving a f(x) equation, the x represents the number that will be used to replace x in the equation. So, from the equation, the value of x is -1. You would plug in -1 for x.
f(-1) = (1/4)^-1
Solve the exponent.
f(-1) = 4
So, the value of f(-1) is 4.
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of elevation 300 . When he moved 10 m towards the flag post the angle of elevation of the top of the flagpole increased to 450. What is the height of the flag pole?
Answer:
[tex]h = 15.163\ meters[/tex]
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
[tex]tan(30) = (h - 1.5) / x[/tex]
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]
So rewriting both equations using the tangents values, we have that:
[tex]0.5774 = (h - 1.5) / x[/tex]
[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]
From the first equation, we have that:
[tex]x = (h - 1.5) / 0.5774[/tex]
Using this value of x in the second equation, we have that:
[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]
[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]
[tex]0.5774h + 4.9079 = h - 1.5[/tex]
[tex]0.4226h = 6.4079[/tex]
[tex]h = 15.163\ meters[/tex]
Tanya wants to order 50 pizzas for a party. However, the pizza supplier can deliver only 45 pizzas on the given date. How will you describe the relationship between demand and supply of pizzas? A. Demand is equal to supply. B. Demand is greater than supply. C. Demand is less than supply.
Answer:
B
Step-by-step explanation:
The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.
Answer:
b
Step-by-step explanation:
You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum
Answer:
88.6647727273 cm²
Step-by-step explanation :
The perimeter of the square =(50/2)
= 25 cm
∴ Side of the square = (25/4)
= 6.25 cm
∴ Area of of the square = (6.25)²
= 39.0625 cm²
The circumference of the circle =(50/2)
= 25 cm
∴ 2πr = 25
⇒ r = 25/(22/7)(2)
Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}
= (25×25×7) / (2×2×22)
= 4365/88
= 49.6022727273 cm²
∴ Total area of the circle and the square =(49.6022727273+39.0625000000)
= 88.6647727273 cm²
Hope it helped
If yes mark BRAINLIEST!
While watching a football game, Jeevan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jeevan recorded 14, –7, and 9. What was the net gain or loss?
Answer:
It was a gain, specifically 16
Step-by-step explanation:
14 + (-7) = 7
7 + 9 = 16
Please tell me if I'm wrong.
On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2
Answer:
b
Step-by-step explanation:
HELP PLZZZZZZZZZZZ!!!!!!!
Answer:
A) 21/20
Step-by-step explanation:
Tangent = Opposite/Adjacent
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Find the following expression by multiplying.
(a + b)3
Answer:
[tex]a^3+3a^2b+3ab^2+b^3[/tex]
Step-by-step explanation:
If have [tex](a+b)^3[/tex], we can solve this as:
[tex](a+b)(a+b)(a+b)[/tex]
So, applying distribution with the first two factors and simplifying, we get:
[tex](a^2+ba+ab+b^2)(a+b)\\(a^2+2ab+b^2)(a+b)[/tex]
Then, multiplying both expressions and simplifying again, we get:
[tex]a^3+a^2b+2a^2b+2ab^2+b^2a+b^3\\a^3+3a^2b+3ab^2+b^3[/tex]
The graph of the function f(x)=-(x+3)(x-1) is shown below. What is true about the domain and range of the function?
Answer:
The 3rd one is correct.
Step-by-step explanation:
What is the range of the function y= 3 startroot x+8 endroot?
Answer:
First Option
Step-by-step explanation:
When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.
(ii) The scale 1 cm represents 50m can be written in the form 1:k.
Find the value of k.
k=
[1]
Answer:
k = 50
Step-by-step explanation:
The scale 1 cm represents 50m
It means that 1 cm length of pictorial representation of any obejct is equivalent to 50m in reality.
In scale terms it can be represented in ratio form of a:b
where
a is the length of picture and b is actual length
here length of pictorial representation is 1 cm
and 50m is actual length
thus scale will be 1:50
But is given that The scale 1 cm represents 50m can be written in the form 1:k.
1:50 is same as 1:k
thus
1:50 = 1:k
we know that in ratio
if a:b = c:d
then
a= c and b = d
Thus,
k = 50 Answer
The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.
Answer:
24
Step-by-step explanation:
Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse. As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10. 6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2. So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2. 6*8=48 and 48/2 = 24 which gives us our answer.
Hi please help meeee
An experiment consists of tossing 3 coins at the same time.
1. Identify the sample space.
2. What is the probability of tossing 2 tails and 1 head?
3. Which is more likely to occur: tossing exactly 1 tail or tossing at least 2 heads? Explain.
Answer:
Step-by-step explanation:
The attachment will help you with your question:
What is the solution to the equation? 98 + g = 150 98 + g = 150. 98 + 98 + g = 150 minus 98. t = 52. 98 + g = 150. 98 minus 98 + g = 150 minus 98. t = 52. 98 + g = 150. 98 + 98 + g = 150 + 98. t = 52. 98 + g = 150. 98 minus 98 + g = 150 + 98. t = 148.
Answer:
The solution to the question is g = 52
Step-by-step explanation:
Here, we want to find the solution to the equation ;
98 + g = 150
Apparently, we want to find the value of g.
To get the value of g, what we simply need is to bring 98 over the equal sign and this gives
g = 150-98
g = 52
Answer: B or how some people say it the second question. EDGE-MATHMATICS 2022
THE ANSWER IS B
step-by-step explanation: it is the second option because when you find out what number g is (52) you can take 98-98= 0 + g/52 and get 52.
and then the second part of it says 150-98 which is 52! so your answer is B hope this helps! have a wonderful day!
When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.
Answer:
8
Step-by-step explanation:
10-8 x 2 = 4
2 x 2 = 4
4 = 4
The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Let the required number is x.
According to given condition,
When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.
Implies that,
2 (10 - x) = 4
10 - x = 2
x = 10 - 2
x = 8
The required number is 8.
To know more about Simplification on :
https://brainly.com/question/2804192
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The HCP prescribes methotrexate 7.5 mg PO weekly, in 3 divides doses for a child with rheumatoid arthritis whose body surface area (BSA) is 0.6 m2. The therapeutic dosage of methotrexate PO is 5 to 15 mg/m2/week. How many mg should the nurse administer in each of the three doses given weekly? (Enter the numeric value only. If round is required, round to the nearest tenth.)
Answer:
1.5mg
Step-by-step explanation:
From the question, we are told that the HCP prescribed 7.5 mg of PO weekly
The therapeutic dosage is given in the question as 5 - 15 mg/m² weekly.
The child's body surface area is given = 0.6m²
The mg of PO that the nurse should administer in each of the three doses given weekly is calculated as
7.5mg/ 5mg/m²
= 1.5 mg of PO
solve for x 42=7(x+5)
Answer:
42=7(x+5)
42=7x+35
42-35=7x
7=7x
X=7/7=1
prove the following identity: sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x please provide a proof in some shape form or fashion :/
Answer:
Step-by-step explanation:
Hello,
Is this equality true ?
sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x
1. let 's estimate the left part of the equation
[tex]sec(x)csc(x)(tan(x) + cot(x)) =\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin(x)}{cos(x)}+\dfrac{cos(x)}{sin(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin^2(x)+cos^2(x)}{sin(x)cos(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{1}{sin(x)cos(x)})\\\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]
1. let 's estimate the right part of the equation
[tex]2+tan^2(x) + cot^2(x)=2+\dfrac{sin^2(x)}{cos^2(x)}+\dfrac{cos^2(x)}{sin^2(x)}\\\\=\dfrac{2cos^2(x)sin^2(x)+cos^4(x)+sin^4(x)}{cos^2(x)sin^2(x)}\\\\=\dfrac{(cos^2(x)+sin^2(x))^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]
This is the same expression
So
sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x
hope this helps
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.
Answer:
1/2
Step-by-step explanation:
There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.
Answer:
1/2 or 50%
Step-by-step explanation:
Blue= 4, Red= 2, Green= 2
Total marbles= 8
P(B)= 4/8= 1/2 or 50%
What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer:
x = 12y = 4√3Step-by-step explanation:
To find x we use cosine
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
x = 12To find y we use sine
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
y = 4√3Hope this helps you
pleaseee help me w dis asap!!
Answer:
x=2 f(x)=5-x
o≤x≤3 f(x)=x
2＜x＜3 f(x)=1
3＜x≤5 f(x)=5-x
Step-by-step explanation:
two angles of a triangle measure 41 degrees and 44 degrees what is the measure of the third angle? A) 75 degrees B) 85 degrees C) 95 degrees D) 105 degrees
Answer:
95 degrees
Step-by-step explanation:
All triangles have an interior measure of 180 degrees
180-41-44=95
Answer:
95 degrees
Step-by-step explanation:
Help pls I will give BRAINLY
Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
what is the simplified value of 1/3 divied by 2/3
Answer:
1/2 or 0.5
Step-by-step explanation:
1/3 divided by 2/3
1/3 times 3/2
3/6
1/2, or 0.5
Answer:
1/2
Step-by-step explanation:
1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)
so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.
PLVHGCHVBJGUYFTDCGVHJGYUJH
Answer:
The correct option is (B).
Step-by-step explanation:
The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.
For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.
In this case it is provided that:
40% of the students are licensed drivers55% students are female.The statement:
"the probability that a student who is a licensed driver is a male"
Is a statement of conditional probability.
This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.
Thus, the correct option is (B).
5 meters.
The rectangle below has an area of x2 – 112 + 30 square meters and a length of x
What expression represents the width of the rectangle?
2 - 5
Width
22 – 110 + 30
Width
meters
Answer: The width is x-6
Step-by-step explanation:
To find the with factor out the area x^2 - 11x + 30
[tex]x^{2}[/tex] - 11x +30 to factor it find two numbers that multiply to get 30 and add up to get -11 . And that two numbers are -6 and -5 .
[tex]x^{2}[/tex] - 5x - 6x + 30 now group them
([tex]x^{2}[/tex] - 5x) (-6x+ 30) factor them out.
x(x - 5) - 6(x -5) Factor x-5 out
(x-5)(x-6) since the length is x-5 then the width is x-6.
Here is a circle, centre O, and the tangent to the circle at the
point (8, 15) on the circle.
x
P (8, 15)
-17
O
17
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 15.
Answer:
The equation of the tangent is [tex]y=-\frac{8}{15}x+\frac{289}{15}[/tex].
Step-by-step explanation:
Center = (0, 0). Point on the circle = (8, 15).
OP is a radius. The slope of the radius = [tex]\frac{15-0}{8-0}=\frac{15}{8}[/tex].
The tangent is perpendicular to the radius.
So, its slope is = [tex]-\frac{8}{15}[/tex].
The tangent passes through (8, 15).
So, the equation is:
[tex]y-15=-\frac{8}{15}\left(x-8\right)\\y-15=-\frac{8}{15}x+\frac{64}{15}\\y=-\frac{8}{15}x+\frac{289}{15}[/tex]
Learn more: https://brainly.com/question/1594198
A True/False quiz has three questions. When guessing, the probability of getting a question correct is the same as the probability of getting a question wrong. What is the probability that a student that guesses gets at least 2 questions correct
Answer:
1/4 or 25% chance
Step-by-step explanation:
the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4
The probability that a student that guesses gets at least 2 questions correct is 1/4.
GivenThe probability of getting a question correct is the same as the probability of getting a question wrong.
The probability of getting the question is correct is;
[tex]= \dfrac{1}{2}[/tex]
The probability of getting the question is wrong is;
[tex]= \dfrac{1}{2}[/tex]
Therefore,
The probability that a student that guesses gets at least 2 questions correct is;
[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]
Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.
To know more about Probability click the link given below.
https://brainly.com/question/795909
5/8 divided by 4/5 plssss
Answer:
The correct answer is 25/32
Step-by-step explanation:
Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.
Upon saying that, we have:
5/8 ÷ 4/5 =
5/8 * 5/4 = (We use the inverse and not it is a multiplication)
25/32
The correct answer is 25/32
find 1st, 2nd, 3rd, 4th and 10th nTh term. rule is 3n+4
Answer:
When n is 1
3n+4
=3*1+4
=3+4
=7
When n is 2
3n+4
=3*2+4
=6+4
=10
When n is 3
3n+4
=3*3+4
=9+4
=13
When n is 4
3n +4
=3*4+4
=12+4
=16
When n is 10
3n+4
=3*10+4
=30+4
34
A box had twice as many grapes as a basket. Once 2 kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now?
Answer:
there are now 3.5 kilograms of grapes in the basket (the mystery number is 1.5)
Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.
It means that the weight of the grapes in the box is x kg and that of basket is y kg.
It has been given that the box had twice as many grapes as a basket. Therefore, we have
Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.
Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have
Substituting the value x=2y in the equation, we get
Therefore, the basket contains 1.5 kilograms of grapes.