The graph of y = Ab^x, where A and b are
constants, passes through (2, 2) and
(5, 16). Find the value of A and of b.
Answer:
A = 1/2, b = 2
Step-by-step explanation:
Inputting (x, y) into y = Ab^x we know that
point (2, 2):
2 = Ab^2
point (5, 16):
16 = Ab^5
So:
16/2 = Ab^5 / Ab^2
8 = b^3
b = 2
Now inputting point (2, 2) with b = 2
2 = A*2^2
2 = 4A
A = 1/2
Confused!! Please answer!!
A quadratic function f models the predicted population growth in Town F after x years. An exponential function g models the predicted population growth in Town G after x years. Use the table to compare the average rate of change for each function from x = 1 to x = 3. Which function has a greater average rate of change over this interval? Enter either f or g in the box.
Answer: g
Step-by-step explanation:
Answer:
g(x)
Step-by-step explanation:
i took the test
A rectangle swimming pool is measured up to 15 meters long and 7 1 fourth meters wide what is the area of this swiming pool
Answer:
108.75 m^2
Step-by-step explanation:
Area of a rectangle = length x breadth
15 x 7 1/4
15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2
PLEASE HURRY AND ANSWER SOMEONE Decide if the relation is a function or not.
Ordered Pairs:
(2,1), (2,-5), (0,-7), (3,2)
Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?
Answer in scientific notation: 8.3x10^-3
An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022
HELP PLEASE!! at a bale sale there was 42 raisin cookies sold. if the ratio of raisin cookies to oat meal cookies was 6 : 1, what is the combined amount of raisin and oatmeal cookies sold?
answer!
49 cookies were sold!
explaination!
42÷6= 7
42 plus 7 = 49
the amount of cookies sold was 49
(Sorry if it's wrong)
PLEASE HELP ME I'M CLUELESS!!
Answer:
352.7 m
Step-by-step explanation:
Distance from the cliff 2000m
Angle = 10°
How tall is the cliff?
We solve the above question using the trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 2000m
θ = 10°
Hence:
tan 10 = x/2000m
Cross Multiply
x = tan 10 × 2000m
x = 352.65396142 m
Approximately = 352.7 m
The cliff is 352.7 m tall
Put these numbers in order from least to greatest.
Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Answer:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Step-by-step explanation:
A density curve is a graph that shows probability.
There are a few properties that those curves have:
The curves are normalized, which means that the area inside the curve is always equal to 1 (or the 100% of possibilities).
And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.
From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).
Now let's look at graph B.
We can see that all points are above the horizontal axis, so that is good.
Now let's compute the area inside the curve.
We can see two triangles, remember that the area of a triangle of base b and height h is:
A = (b*h)/2
To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.
The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25
Then the area is:
A1 = (2*0.25)/2 = 0.25
The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25
Then the area of this triangle is:
A2 = (6*0.25)/2 = 0.75
If add these areas, we get:
Total area = A1 + A2 = 0.25 + 0.75 = 1
Total area = 1
So we have an area under the curve equal to 1, which means that graph B is a valid density curve.
And the correct option is then:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
How many people are in the office?
Answer:
around 150
Step-by-step explanation:
Can someone please answer this
Answer:
It is true
Step-by-step explanation:
It is the same shape, it is just moved to a different spot on the graph because of translations.
A house that costs $125,400 appreciates at a rate of 3% each year. What is the value of the
home after 3 years.
a.$137027.97
b.$275503.80
c.$114449.19
d.$3385800
Answer:
The value after three years is $137,027.97
Step-by-step explanation:
Here, we want to get the value of the home after 3 years
Generally, we have the exponential formula as follows;
y = P(1 + r)^t
where P is the original cost which is $124,400
r is the rate of increase which is 3% = 3/100 = 0.03
t is the time which is 3 years
Substituting these values;
y = 125400(1 + 0.03)^3 = $137,027.97
Symbolize and solve Equations
Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and
multiplied the sum by 4, it would equal 12. Which equation could Stephanie use to find the number, x?
A. 4(X + 8) = 12
B .4+(x+8)=12
C. 4(x)+8=12
D. 8(x + 4) = 12
please can someone help me it’s urgent i need it done by 8:00‼️
Answer: need to clam and not worry to much and study a lot to be come great and great at math
Step-by-step explanation: i try and i give it all i can and not give up
Israel has a total of 25 coins in his pocket - they are
all quarters and dimes. The value of the coins are
$3.85. How many quarters and dimes are in Israel's
pocket?
X - quarters
y - dimes
Answer:
15x 1y
Step-by-step explanation:
im smart
HELPPP WILL MARK BRAINLIEST
Answer:
7 1/6
Step-by-step explanation:
Area is length x width
Find area of 1 container:
Area = 5 1/2 x 1 2/3 = 11/2 x 5/3 = 55/6 = 9 1/6 square yards.
Multiply the area on 1 container by total containers (9)
9 1/6 x 9 = 55/6 x 9 = 495/6 = 82 1/2 square yards
The answer is 82 and 1/2 square yards
Tell whether x and y
are proportional. If so, find the constant of proportionality.
8 = xy
Answer:
Step-by-step explanation:
y is inversely proportional to x; if x increases, y decreases.
Without more info it is not possible to find the constant of proportionality. Recheck the original numerical values. Think: 8 = kxy. You need to know x and y to find the value of k.
Practice identifying reflectional and rotati Which letters have 2 or more lines of symmetry? Check all that apply. here's the better one
Answer:
O, H, X
Step-by-step explanation:
i did this on edg hope this helps
Answer:
O H X
Step-by-step explanation:
PLZS HELP I NEED IT BY TODAY!
Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.
Answer:
The length of side c would be 26.0.
Step-by-step explanation:
Answer:
A) 26
Step-by-step explanation:
7/15 multiplied by 5/6
Answer:
The answer will be 35/36
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
In a survey of 292 students, about 9.9% have attended more than one play. Which is closest to the number of students in the survey who have attended more than one play?
Answer:
so sorry i needed the points to ask my question.
Step-by-step explanation:
30 Students I hope it helps.
Are the two triangles similar? How do you know (What Theorem)?
Answer:
They are similar because of the SAS triangle similarity theorem.
Step-by-step explanation:
The angles in the interconnection of the two triangles are the same because they have the same vertex and lines.
The two sides are similar by a ratio of 1.5.
9/6 and 6/4 both equal to 1.5, which means that they have the same ratio.
Because there is a side that's similar, an angle that's congruent, and then a side that's similar, you can say that the triangles are similar basing on the SIDE-ANGLE-SIDE triangle similarity theorem.
links will get banned
Answer:
TrueStep-by-step explanation:
It's a square, so it'll have rotational symmetry.
[tex] \infty \infty [/tex]
A patio is in the shape of a square, with a lengh of 35 feet. You wish to draw a black line down one diagonal.
a. Use the Pythagorean Theorem to find the lengh of the diagonal. Write your answer as a square root.
b. Find the two perfect squares that the lenght of the diagonal falls between.
c. Estimate the lenght of the diagonal to the nearest tenth.
Answer:
a) 35√2
b) between 25 and 36 (5² and 6²)
c) 49.5 ft
what is the area of a square with an apothem length of 14 inches?
Answer:
784
Step-by-step explanation:
A = 1/2ap A = area , a = apothem , p = perimeter
a = 1/2s a = apothem length , s = side length
14 = 1/2s , 14(2) = 1/2s(2) , 28 = s
p = 4(s) , p = 4(28) , p = 112
A = 1/2ap , A = 1/2(14)(112) , A = 784
or
A = s^2 , A = 28^2 , A = 784
The area of a square with an apothem length of 14 inches is 784 inches.
What is apothem?The perpendicular from the center of a regular polygon to one of the sides.
As, A = 1/2*a*p
where, A = area , a = apothem , p = perimeter
Also, a = 1/2s
where, a = apothem length , s = side length
14 = 1/2s
14*2=s
s=28 inches.
Now, perimeter of square
p = 4(s)
p = 4(28)
p = 112 inches
Now, Area of square,
A = 1/2ap
A = 1/2*(14)*(112)
A = 784 inches
Hence, the area of square is 784 inches.
Learn more about apothem here:
https://brainly.com/question/9172186
#SPJ2
Plz help I’ll give brainliest
Answer: first one 17
second one 8
Step-by-step explanation:
A recent survey of 800 seventh graders from across the state shows 4 out there of 10 like to play paper football. How many students said they like to play paper football?
Answer:
320
Step-by-step explanation:
800 = 10
x = 4
800 x 4 = 10 x
3200= 10x
x = 320
For A-D, choose Yes or No to indicate whether the situation can be represented by a negative number.
A. A student answered a 5-point question correctly.
B. Mila lost 30 points answering a question incorrectly.
C. A dog loses 13 pounds.
D. The average temperature in a city last month was 68°F.
OYes No
OYes No
OYes No
OYes No
Answer:
A. NO
B. YES
C: YES
D: NO
Step-by-step explanation: