Answer:
3√2
Step-by-step explanation:
Pythagoras says s²+s²=6²
so
2s² = 36
s = √18 = √9·2 = √3²·2 = 3√2
Answer:
C
Step-by-step explanation:
The diagonal splits the square into 2 right triangles with hypotenuse 6
Using Pythagoras' identity in one of the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
s² + s² = 6²
2s² = 36 ( divide both sides by 2 )
s² = 18 ( take the square root of both sides )
s = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] → C
What is f(x) + f(x) + f(x)?
Answer:
3fx
Step-by-step explanation:
f(x)+f(x)+f(x)
remove parenthesis: (a)=a
add similar elements: fx+fx+fx
=3fx
Answer: for edge
3f(x)
3x2
12
If x varies inversely as p and x=2 when p=4 find the formula connecting them
Answer:
x = [tex]\frac{p}{2}[/tex]
Step-by-step explanation:
x ∝ p
x = kp -------(1)
Where k is the constant of proportionality.
Now, x = 2 when p = 4
Putting in the above formula
2 = k(4)
Dividing both sides by 4
k = [tex]\frac{2}{4}[/tex]
=> k = [tex]\frac{1}{2}[/tex]
Putting k in (1)
x = [tex]\frac{p}{2}[/tex]
Now this is the required equation connecting both.
2O POINTS + BRAINLIEST || Which of these scale factors will result in an Enlargement?
A. 0
B. 1/2
C. 1
D.5
Answer:
D 5
Step-by-step explanation:
Answer:
B. 1/2?
Step-by-step explanation:
This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game. Find the probability that the pitcher will throw fewer than 3 pitches to a batter.
Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35
Answer:
.35
Step-by-step explanation:
In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?
Answer:
112°
Step-by-step explanation:
∠OLM= 2x, ∠PON= x
∠LOK= x
∠OKL= 180-124= 56
∠OLM= ∠OKL+∠LOK
x+56°= 2x
x= 56°
2x= 112°
Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).
Answer:
y = 7 [tex]3^{x}[/tex]
Step-by-step explanation:
Use the given ordered pairs to find a and b
Using (0, 7 ), then
7 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus
a = 7
y = 7 [tex]b^{x}[/tex]
Using (5, 1701 )
1701 = 7 [tex]b^{5}[/tex] ( divide both sides by 7 )
243 = [tex]b^{5}[/tex] ( take the fifth root of both sides )
b = [tex]\sqrt[5]{243}[/tex] = 3 , thus
y = 7 [tex]3^{x}[/tex]
Answer: y=7(3)^x
Step-by-step explanation:
Just did it
what is the area of this title ?
Answer:
12 in^2
Step-by-step explanation:
A = l*w
= 2in * 6 in
= 12 in^2
Answer:
Area = 12 in.²
Step-by-step explanation:
Area = length × width
Where w = 2 and L = 6
So,
Area = 2 × 6
Area = 12 in.²
help asap. is this b or d. im not really sure so i put d.
Answer:
I'm not 100% sure but I'm pretty sure its 'D'
Answer:
the answer is b
Step-by-step explanation:
What is the correct expanded form and value of 4 cubed?
4 + 4 + 4 = 12
4 times 4 times 4 = 64
3 + 3 + 3 + 3 = 12
3 times 3 times 3 times 3 = 81
Answer:
Option 2
Step-by-step explanation:
=> [tex]4^3[/tex]
=> 4 × 4 × 4
=> 64
Answer:
4 times 4 times 4 = 64
Step-by-step explanation:
When a number is cubed, it is multiplied by itself 3 times.
For example, [tex]x^3=x*x*x[/tex].
In our case, it is [tex]4^3=4*4*4[/tex] which would equal [tex]16*4=64[/tex]
Your answer is "4 times 4 times 4 = 64"
What is the value of x in the diagram below?
Answer: C
Step-by-step explanation:
IT is dividing by 6
The value of x in the given diagram of two similar triangle is 9 units.
Let us consider the name of two triangles be ABC and PQR.
Such that,
In triangle ABC,
AB = 12 , BC = 54 , m∠BAC = 90° and marked angle is ∠ABC .
In triangle PQR,
PQ = 2 , QR = x, m∠QPR = 90° and marked angle is ∠PQR .
In triangle ABC and PQR we have,
m∠BAC = 90° = m∠QPR
m∠ABC = m∠PQR (given )
By AA corollary,
Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.
Corresponding sides of the similar triangle are in proportion.
AB / PQ = BC / QR
⇒ 12 / 2 = 54 / x
⇒ 12x = 54 × 2
⇒ x = ( 54 × 2 ) / 12
⇒ x = 9
Therefore, the value of x in the given triangle is equal to 9 units.
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help please :) thank you.
Answer:
Option (1).
Step-by-step explanation:
In the figure attached,
Houses of three friends Jo, Boris and Carrie are located at the vertices of a triangle.
They want to meet at a place which equidistant from these vertices.
A point in a triangle which is equidistant from the vertices is its Circumcenter.
A circumcenter of a triangle is a point of intersection of perpendicular bisectors of its sides.
Therefore, the next step to find the meeting place should be,
Option (1). They should find the midpoint of the segments which connect their houses.
pls Answer it I will Mark BRAIN LIST.
Answer:
cosA = 40/41
tanA = 9/40
Step-by-step explanation:
Step 1: Find the other leg value
a² + b² = c²
9² + b² = 41²
b² = 41² - 9²
b = √1600
b = 40
Step 2: Draw out your triangle.
When you do so, you should see the cosA (adjacent over hypotenuse) is 40/41 and tanA (opposite over adjacent) is 9/40.
Triangle CBA
Length of AC = 40 (Leg)
Length of BC = 9 (Leg)
Length of AD = 41 (Hypotenuse)
cosA = AC/AB = 40/41
tanA = CB/AC = 9/40
Answer:
Cos A = 40/41
Tan A = 9/40
Step-by-step explanation:
Sin A = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{9}{41}[/tex]
So,
Perpendicular = 9 , Hypotenuse = 41
So, Finding base by Pythagorean Theorem
=> [tex]c^2=a^2+b^2[/tex]
=> [tex]a^2 = c^2-b^2\\[/tex]
=> [tex]a^2 = 41^2-9^2[/tex]
=> [tex]a^2 = 1681 - 81\\a^2 = 1600[/tex]
Taking sqrt
=> base = 40
Now,
Cos A = [tex]\frac{base}{hypotenuse} = \frac{40}{41}[/tex]
Tan A = [tex]\frac{perpendicular}{base} = \frac{9}{40}[/tex]
The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100
Answer:
x over quantity 2x plus 3 equals 40 over 60
Step-by-step explanation:
Let light clothes=x
Number of dark clothes = 2x + 3,
Dark clothes are 60% of total clothes
Light clothes=100%-60%
=40%
Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes
x / 2x+3 = 40 / 60
x over quantity 2x plus 3 equals 40 over 60
Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].
Let the number of dark cloths = y
And the number of light cloths = x
"The number of dark cloths is three more than twice the number of light cloths".
Therefore, equation will be,
y = 2x + 3 ----- (1)
"The laundry is 60% dark cloths"
Equation for this statement will be,
y = [tex]\frac{60}{100}(x+y)[/tex]
y = 0.6x + 0.6y
y - 0.6y = 0.6x
0.4y = 0.6x
[tex]\frac{y}{60}=\frac{x}{40}[/tex]
Now substitute the value of y from equation (1),
[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]
[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]
[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]
Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].
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Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.
Answer:
30% percent profit
Step-by-step explanation:
100 pence in a pound.
1000 grams in a kilogram.
She bought 5000g of sweets.
She pays 10×100=1000 pence.
She put them into 5000÷250=20 bags.
She sells the bags for 65 pence each.
She sells them all for 20×65=1300 pence.
She gets a profit of 300 pence or 3 pounds.
She gets a percent profit of 30%.
Work out m and c for the line: y = 9 − x
Answer:
m = -1
c = 9
Step-by-step explanation:
m is slope, which is the coefficient of x
c is the y-int, which is the constant
Can you guys plz help me thanks
Answer:
We can just multiply 11/6 by 180 which is 330°.
Don wants to buy 5 baseballs. He has $20. What is the most each baseball can cost?
Answer:
4 dollars is the highest
Answer:4 Is the highest each baseball can cost
Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4
PLZZ ANSWER QUICK TIMED a submarine is positioned –1525 feet in relation to sea level. The submarine needs to be –1865 feet below sea level in 20 minutes. Which best represents the rate at which the submarine needs to travel? –169.5 ft/min –17 ft/min 17 ft/min 169.5 ft/min
Answer:
17ft/min
Step-by-step explanation:
1865-1525 = 340
multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
Answer:
see below
Step-by-step explanation:
Dosage= 500 mg
Frequency= twice a day (every 12 hours)
Duration= 10 days
Number of dosage= 10*2= 20
residual drug amount after each dosage= 4.5%
We can build an equation to calculate residual drug amount:
d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage
After first dose residual drug amount is:
d= 500*0.045= 22.5 mgAfter second dose:
d= 22.5*2= 45 mgAs per the equation, the higher the t, the greater the residual drug amount in the body.
Maximum residual drug will be in the body:
d= 20*22.5= 450 mg at the end of 10 daysMaximum drug will be in the body right after the last dose, when the amount will be:
500+19*22.5= 927.5 mgPLEASE HELP AS SOON AS POSSIBLE !!
Answer:
D
Step-by-step explanation:
(160x243)^1/5=8.27
D also equivalates to 8.27
Answer:
so the answer for that is D.
Step-by-step explanation:
160 X 243= 38880
38880^.2 (or 1/5) = 8.27
D. 5 carrot thing 5= 1.379..x 6= 8.27
HELP MEE PLEASEEE!! I WILL GIVE BRAINLIEST!!!
Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates. f(x) = 2x2 − 14x + 20
x 18 19 20 21 22
g(x) −17 0 19 40 63
A. f(x); (2, 0)
B. f(x); (−5, 0)
C. g(x); (19, 0)
D. g(x); (−17, 0)
Answer:
A. f(x); (2, 0)
Step-by-step explanation:
First, we determine the zeros of f(x)
[tex]f(x)= 2x^2 - 14x + 20=0\\2(x^2 - 7x + 10)=0\\x^2 - 7x + 10=0\\x^2-5x-2x+10=0\\x(x-5)-2(x-5)=0\\(x-5)(x-2)=0\\x-5=0$ or x-2=0\\x=5 or x=2[/tex]
The zeroes of f(x) are 5 and 2.
Therefore, the smallest zero of f(x) is 2.The zero of g(x) is 19We can then conclude that f(x) is the function which has the smallest zero.
Its coordinate is (2,0).
Answer:
A. f(x); (2, 0)
Step-by-step explanation:
Find the equation of the line through point (2,−4) and parallel to −6x+2y=4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answer:
y = 3x - 10
Step-by-step explanation:
Step 1: Rewrite 1st equation
2y = 6x + 4
y = 3x + 4
Step 2: Find 2nd equation
y = 3x + b
-4 = 3(2) + b
-4 = 6 + b
b = -10
Step 3: Rewrite 2nd equation
y = 3x - 10
And we have your parallel equation!
La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576
Answer: d) 576
Step-by-step explanation:
Datos:
Altura: h Base (b): 4h (cuatro veces su altura [h])El perímetro de un rectángulo es igual a la suma de todos sus lados:
Perímetro = 2h+2b
Reemplazando b=4h
120 =2h+ 2(4h)
Despejando h:
120 = 2h+8h
120 =10h
120/10=h
12 cm=h
Base = 4h =4(12) =48 cm
Área de un rectángulo (A)= base x altura
A = 48 x 12 = 576 cm2
PLEASE HELP ME ASAP :(
1. Write the equation in slope intercept form. 4x-3y=12
2. Identify the slope and y-intercept.
3. Graph the line
4. Identify if it is a positive or negative slope.
Can you please help me ASAP ? And explain the steps
Step-by-step explanation:
y=4/3x+4
y int =4
x int = -1
the graph is an increasing graph line that touch 4 in y and -1 in x
m=4/3
In a randomly generated list of numbers from 0 to 6 what is the chance that each number will occur
Answer:
In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.
Answer:
1/7
The correct answer is 1/7
You have determined that a statistical study is biased. What does this mean? A. Errors were made in data collection. B. Participants were only given three choices. C. Not enough people were surveyed. D. Participants were lead to respond in a specific way. PLEASE HELP ME PASS!!!!!!!!!
Answer: Participants were lead to respond in a specific way.
Step-by-step explanation: Bias is an inherent misjudgment about something. Often, this can mean that the wording of the question leads the participants to respond in a specific way.
The statement "a statistical study is biased" means (D) Participants were led to respond in a specific way.
What is a Biased Event?An event is said to be biased or not fair if the object or source of data is tampered with consciously to control the result or probability of different events. For example, if we make a coin in a way that if we flipped that coin we always get head to make the probability to get tail 0, then the coin is a biased coin and a stud,y using that is a biased study. So in given choices,
(A) Errors in data are mistakes made in the unconscious mind. It cannot be the meaning or cause of the biased event.
(B) If participants were only given three choices then they can make different choices using those three so it is partially biased not fully biased.
(C) Not enough people were surveyed cannot be meaning or reason for biased data as the number of experimental data is mentioned in the experiment. So experiment can be done with any size of the sample depending on which the result will be different but not biased.
(D) If participants lead to respond in a specific way then it is a conscious try to control the statistical data. So it is the meaning of the biased statistical study. Hence the correct option is (D).
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5 > 2p + 1
The first answer is p=2 what is the other answer?
Answer:
Let's solve the inequality.
5 > 2p + 1
4 > 2p
2 > p
Some answers are p = 1, p = 0, p = -1, etc.
Sarah drank 75% of a one pint carton of milk at lunchtime. How many ounces of milk were left in the carton? PLZZ help! Will mark as brainliest! PLEASE HELP.
4 ounces left
75%=3/4
so 3/4 of 16oz is 4.
Kashloopski Iardatsky Fartucci
Which process will create a figure that is congruent to the figure shown?
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In the motion of an object to the various points without altering its size or shape when its translation takes place in geometry, and all other container throughput shift their vertices or alter their shape.
The scale of the figure doesn't alter the transitions, and Its statistics remain consistent if the scale and shape of its figure are not modified. In this figure, each point is shifted 2/3 away from the y-axis.
Answer:
The 2nd one. (A translation of 4 units up...)
Step-by-step explanation:
I had a better answer last time in answered this, but a rude user named katie deleted it. (She always does that)
What is the y intercept of y=-3x-2? Step by step explanation please help me
Answer:
Step-by-step explanation:
The slope is 3 and the y-intercept is 2 or (0, 2)
Answer:
The y-intercept of the equation is -2.
Step-by-step explanation:
This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.