Answer:
5.83
Step-by-step explanation:
Try using the Pythagorean theorem as an adaptation of the distance formula. Count the boxes on the graph to create a triangle using the line segment as the hypotenuse.
5^2 + 3^2 = d^2
25 + 9 = d^2
d = 5.83
Answer:
5.3
Step-by-step explanation:
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
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 mgIf 1/8 cup of popcorn makes 6 quarts, how many quarts will 3/8 cup make?
Answer:
18 quarts, 3 x 6 is 18.
Step-by-step explanation:
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:
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 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
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.
What is the Equation of the line of symmetry for the parabola represented by the equation y= -2(x-7)^2+11 Enter your answer as The correct equation, like this x=42
Answer:
Step-by-step explanation:
Sing robbery and ur done
What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP
Answer:
y -2= 1/2(x+7)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y - 2 = 1/2(x - -7)
y -2= 1/2(x+7)
Answer:
D) y - 2 = 1/2(x - (-7))
Step-by-step explanation:
I just took the quiz on edge
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
PLEASE 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
A bottle contains 255 coins 1/3 of the coins are £1 coins 110 of the coins are 50p coins the rest of the coins are 20p coins work out the total value of the coins contained in the bottle.
Answer:
£169
Step-by-step explanation:
255/3 = £85
110 x 50 p = 5500 p
255 - 110 = 145 coins which are 20 p
145 x 20 p = 2900 p
5500 p = £55
2900 p = £29
£85 + £55 + £29 = £169
Answer:
I sun 169 ofc
Step-by-step explanation:
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
12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )
Answer:
(88a+80)(8a+8)
88a(8a+8)+80(8a+8)
704a²+704a+640a+640
704a²+1344a+640
(40y+zy)(4y+zy)
40y(4y+zy)+zy(4y+zy)
160y²+40zy²+4zy²+z²y²
160y²+44zy²+z²y²
Step-by-step explanation:
i hope this will help you
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.
Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fixed price per kilogram. If she sells 120 kilograms of cumin, her weekly net profit is $600. What is the price of a kilogram of Jada's cumin? How much cumin does Jada have to sell to cover her weekly expenses?
Answer:
$7.5
40 kg
Step-by-step explanation:
Expenses= $300 per week
120x= 300+600
120x=900
x= 900/120= $7.5 per kg
300/7.5= 40 kg to be sold to cover weekly expenses
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
answer B. -5
Step-by-step explanation:
hello
fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5
hope this helps
Answer: It is B. -5
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
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
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
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
OB. What may be false
C. What may be true
D. What must be true
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.
Please answer this!! Thanks!!!!!!!!
Answer:
V = 4186.67
Step-by-step explanation:
Volume of a sphere formula: V = 4/3πr³
We are given r, so just plug it in
V = 4/3π(10)³
And we have our answer!
Answer:
4186.66666 or you can round to 4186.67
Step-by-step explanation:
Use the formula and insert the radius (10) to get your final answer.
Evaluate the following expression. (-3) exponent 2 a0
Answer:
(-3)² = 9
Step-by-step explanation:
[tex](-3)^{-2} = \frac{1}{9}[/tex]
Answer:
1/9
Step-by-step explanation:
(-3) ^ -2
The negative exponent means a^-b = 1/a^b
1/(-3)^2
1/(-3*-3)
1/9
Who want 20 points answer and it gotta be right
3 to the power of 14
Step-by-step explanation:
you need to add the exponents together. When you multiply exponents you actually add them.
so [tex]3^{14}[/tex] is your answer.
or 4783969 if you solve the whole thing
i hope this helps
Answer:
3 to the power of 14
Step-by-step explanation:
Please help !! ASAP!! BRAINLIEST???
Answer:
The volume is 8 * 14 * 6 = 672.
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%.
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].
Learn more,
https://brainly.com/question/11495
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.
Find the size of angle BAC Give your answer to 3 significant figures
Answer:
angle BAC = 50.5°
Step-by-step explanation:
To find the size of angle BAC, we will follow the steps below;
First, we will use Pythagoras theorem to find side AC
from the diagram, AB = 14 cm BC = 17 cm
Using Pythagoras theorem,
AC² = AB² + BC²
= 14² + 17²
=196 +289
=485
AC² = 485
Take the square root of both-side
AC = √485
AC = 22 .023
AC = 22.023 cm
angle <B = 90°
Using the sine rule,
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex]
A = ?
a=BC = 17 cm
B = 90°
b = AC = 22.023 cm
we can now [proceed to insert the values into the formula and then solve for A
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex]
[tex]\frac{sin A}{17}[/tex] = [tex]\frac{sin 90}{22.023}[/tex]
cross - multiply
22.023× sinA = 17× sin90
Divide both-side of the equation by 22.023
sin A = 17 sin90 / 22.023
sin A = 0.771920
Take the sin⁻¹ of both-side of the equation
sin⁻¹sin A = sin⁻¹0.771920
A = sin⁻¹0.771920
A≈ 50.5°
Therefore, angle BAC = 50.5°