The b value of the equation y = a(b)^x represents which of the following?
Answer:
the b-value is the growth or decay factor.
Step-by-step explanation:
Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes that the product of her brothers ages is equal to the age of her 40 year old father. How old is Sarah? How do we setup an equation for this using null factor law presumably.
Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
[tex]S - F = 5[/tex] ---- (1)
From the second, we have:
[tex]S - B = 8[/tex] ---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
[tex]F = S - 5[/tex]
[tex]B = S - 8[/tex]
Their product is represented as follows:
[tex]F * B = 40[/tex]
Substitute values for F and B
[tex](S - 5) * (S - 8)=40[/tex]
Open bracket
[tex]S^2 - 5S -8S + 40 = 40[/tex]
[tex]S^2 - 13S + 40 = 40[/tex]
Subtract 40 from both sides
[tex]S^2 - 13S = 0[/tex]
Factorize:
[tex]S(S - 13) = 0[/tex]
Split:
[tex]S = 0[/tex] or [tex]S - 13 = 0[/tex]
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
[tex]S - 13 = 0[/tex]
Make S the subject
[tex]S = 13[/tex]
Hence, Sarah is 13 years old
9. Write the equation of the line in slope-intercept form given the following:
Point (0, 1), (2, -1)
Answer:
y=1x+1
Step-by-step explanation:
We already know the Y intercept is 1 from the first set of points given
The change in x is 2 and the change in Y is also 2 so when you make the slope equation y/x you get 1
Pluggin in the numbers you get: y=1x+1
solve for m
-2(m +5) +14 =-6
Answer:
m=5
Step-by-step explanation:
-2m-10+14=-6
-2m+4=-6
-2m=-10
m=5
Which system of equations could you use to
determine where the paths intersect?
y=0 and y= -0.12(x-20)^2
y=0.8x and y= -0.12x^2+20
y=0.8x and y= -0.12(x-20)^2
y= 0.8x+8 and y = -0.12x^2+20
Answer:B
Step-by-step explanation:
Question:
Which system of equations could you use to determine where the paths intersect?
y=0 and y= -0.12(x-20)^2
y=0.8x and y= -0.12x^2+20
y=0.8x and y= -0.12(x-20)^2
y= 0.8x+8 and y = -0.12x^2+20
Answer:
B.
Can anyone help me out with these problems?
Answer:
Step-by-step explanation:
1) 3/4x = 1/2 2) 2x = 3/11 3) 1 1/2 x = 12 4) 1/5x = 1/6
x = 1/2 * 4/3 x = 3/11 * 1/2 3/2x = 12 x = 1/6 *5/1
x = 2/3 x = 3/22 x = 12 * 2/3 x = 5/6
x = 4*2
x= 8
5) 5x = 15/21 6) 2/3 x = 3/2
x = 15/21 *5 x = 3/2 * 3/2
x = 75/21 x =9/4
x = 3.5 x = 2.25
plz mark as Brainliest
The sail and mast of a sailboat form a right triangle.What is the height of the mast on the sailboat? height 20m width 12m
Answer: 16 m
Step-by-step explanation:
Using the Pythagorean theorem you can find the height of the mast.
The formula is;
a² + b² = c²
a is one side of the triangle such as the width
b is another side such as the height
c is the hypotenuse which is the longest side.
c will therefore be 20m.
a will be 12m
12² + b² = 20²
b² = 400 - 144
b² = 256
b = √256
b = 16m
Match each graph with the correct slope of the line. drag and drop the answer
Answer/Step-by-step explanation:
✔️Slope of the first graph:
Using two points on the line, (0, 1) and (3, 2),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{3 - 0} = \frac{1}{3} [/tex]
Slope = ⅓
✔️Slope of the second graph:
Using two points on the line, (0, 0) and (1, 1),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 0}{1 - 0} = \frac{1}{1} = 1 [/tex]
Slope = 1
✔️Slope of the third graph:
Using two points on the line, (0, 1) and (2, 2),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{2 - 0} = \frac{1}{2} [/tex]
Slope = ½
The correct slopes of the graphs are as follows:
1. m = 1 / 3
2. m = 1
3. m = 1 / 2
slope = m = y₂ - y₁ / x₂ - x₁
1.
(0, 1)(6, 3)
m = 3 - 1 / 6 - 0 = 2 / 6 = 1 / 3
2.
(0, 0)(3, 3)
m = 3 - 0 / 3 - 0 = 3 / 3 = 1
3.
(0, 1)(4, 3)
m = 3 - 1 / 4 - 0 = 2 / 4 = 1 /2
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Three adult kangaroos weigh 435 pounds.
If each adult weighs the same, how much
would one adult kangaroo weigh?
Answer:
um 145 lbs
Step-by-step explanation: basic math bruv
Answer:
145 lbs
Step-by-step explanation:
-238=-7(-4x+6)
Why why why
Answer: -7=x
Step-by-step explanation: −
238=28−42
−238+42=28−42+42
−196=28
-196/28=28x/28
-7=x
Answer:
i dont know why? why? are you asking Why am i crazt Why or why not?
Step-by-step explanation:
x
у
-12
7.
5
4
3
8
2
16
0
Answer:
The rate of change is - 1/4
HELP URGENT ASAP WILL MARK AND 5 STARS DUE in 5 MINUETS HURRY
Answer:
1. x=8
the other ones i got was decimals and i dont think you want those for this assignment
Step-by-step explanation:
3. Please convert 47 1/2 to a decimal
Answer:
47.5
Step-by-step explanation:
keep 47 there
1/2 as a decimal well we know 1/2 is equivalent to 0.5 so just combine 47 & 0.5 and you'll get 47.5
Answer
I believe it is 47.5. I hope it helps!
Noah's oven thermometer gives a reading that is 2% greater than the actual temperature if the actual temperature is 350°F what was the motor reading be
Answer:
357°FStep-by-step explanation:
Step one:
given data
actual reading= 350°F
thermometer reading 2% of the actual reading
Step two:
Required:
The thermometer reading
let us find 2% of 350°F
2/100*350°
=0.02*350
=7°F
Hence the thermometer reading is 7°F greater than 350°F
The thermometer reading is 350+7=357°F
$19 dollars 95% of whats the sale price
Answer:
$18.05
Step-by-step explanation:
Answer:
The sale price is $0.95
During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?
i need explanation im confused
PLEASE HELPNWILL GIVE BRAINLIEST
Answer:
0.010
Step-by-step explanation:
A 50 loot ladder is leaning against a building. If the base of the ladder is 35 feet from the base of the building, how far up the building is does the ladder rest? Round to the nearest hundredth (two decimal places)
Answer:
The ladder is 35.71 feet up the building
Step-by-step explanation:
Here, we want to calculate how far up the building is the ladder placed
We should picture a right angled triangle with hypotenuse 50 and one of the other sides as 35
To find the height in this case, we proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be
50^2 = 35^2 + h^2
h^2 = 50^2-35^2
h^2 = (50+35)(50-35)
h^2 = (85)(15)
h^2 = 1275
h = square root of 1275
h = 35.71 ft
help idk how to do this
It takes Frank 2 hours to build a fence. It takes Tom 9 hours to build the same fence. How long would it take to build the fence if Frank and Tom built the fence together?
Answer:
5 1/2 hours
Step-by-step explanation:
You would have to add 2 and 9 and then divide by 2. (Find the average of the two)
2 + 9 = 11
11 / 2 = 5.5
So if you add their times then divide you receive and average of five and a half hours.
Gavin has 50 tokens and continues to ride the roller coaster three times every hour Gibson has 12 tokens and finds two more tokens on the ground every hour how long until they have the same amount of tokens?
Answer:62
Step-by-step explanation: I just did it and got it right
They have the same amount of tokens after t = 7.6 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour.
So, a number of token he losses after t hours is 3 token per hour × t hours = 3t.
Thus, the number of tokens left after t hours is T = 50 - 3t
Since Gibson initially has 12 tokens and find two tokens on the ground per hour, he gains 2 tokens per hour.
So, number of token he gains after t hours is 2 token per hour × t hours = 2t.
Thus, the number of tokens he has after t hours is T' = 12 + 2t
To find the time t when they will have the same tokens, T must be equal to T', that is T = T'.
So, 50 - 3t = 12 + 2t
Now collecting like terms, we have
50 - 12 = 3t + 2t
38 = 5t
Then dividing both sides by 5, we have
t = 38/5
t = 7.6 hours
Hence, they have the same amount of tokens after t = 7.6 hours.
Learn more about the unitary method;
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yo mama got sstinky toes when u gon wash them 10;00? 3:00? or 9;00
As soon as I can. We dont want no stanky toesss
4. Kerri kicked the ball 2,340 inches. How many yards did she kick the ball?
Answer:
65 yards.
Step-by-step explanation:
The answer is 65 yards because 1 yard is 36 inches and 2340 divided by 36 is 65.
Answer:
the answer is 65 yards.
Multiply. Write your answer in scientific notation.
(8.8 x 10')(7.5 x 10
10 )
Which best describes a rectangle with diagonals that are perpendicular?
A. parallelogram
B. rectangle
C. rhombus
D. square
C. rhombus
RectangleA rectangle is a four-right-angle quadrilateral. It is also known as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.A rectangle with diagonals that are perpendicular is a C. rhombus.Find out more information about the rectangle here:
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What is the soulition for 2/3x+16=-14
Answer:
x = - 1/45.
Step-by-step explanation:
Answer:
x = -20
Step-by-step explanation:
2/3x + 16 = -14
-16 -16
2/3x = -30
*2 *2
3x = -60
/3 /3
x = -20
PRONTO PLS-------
suppose you deposit $2500 in a savings account that pays you %5 interest per year. how many years will it take for you to double your money? how many years will it take for your account to reach $8000?
Answer:
t = 44 years
Step-by-step explanation:
t = (1/r)(I/P-1)
t = (1/0.05) {(8000/2500) - 1}
t = 44
The smiths went to Larosa's for dinner and spent $42.50 on dinner. There is a 6.5% tax and they want to give a tip of 20% before the tax is added. What is the total price of their bill?
Answer:
Step-by-step explanation:
cost of dinner = $42.5
Tax = 6.5%
Tip = 20%
Total amount percent on food = 26.5%
Amount paid on the original price = 26.5% of $42.5
Amount paid on the original price = 0.265*42.5 = $26.5625
Total price of the bill = $42.5 + $26.5625
Total price of bill = $69.0625
A line has this equation Y= 3X +4 write an equation for the parallel line that goes through -4, -9
Answer:
4 plus 4 equelses 12
Step-by-step explanation:
Given that these two triangles are similar, what is the measure of L???
Answer:
35°
Step-by-step explanation:
Each triangle has a total degree of 180° so you know that one triangle has degrees of 90°&55° then you can subtract that from 180 to find out. But since they are similar they have to have the same angles and the first triangle tells you the missing angle.
if /llm what is the value of x?
Answer:
[tex]x^{\circ}=137^{\circ}[/tex]
Step-by-step explanation:
Angle 43 and x are called same-side exterior anglesThat means they sum up to 180 degrees, so[tex]43^{\circ}+x^{\circ}=180^{\circ}\\43^{\circ}-(43^{\circ})+x^{\circ}=180^{\circ}-(43^{\circ})\\x^{\circ}=137^{\circ}[/tex]