20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?
Answer:
34.35 liters
Step-by-step explanation:
Given f(x)=(2x-3)(3x+7), what is the y-intercept
Answer:
(0,-21)
Step-by-step explanation:
The x value of a y intercept is always 0
So we can plug in 0 to the equation to solve for the y intercept
(2*0-3)(3*0+7)
-3*7= -21
y intercept: (0,-21)
Answer:
-21
Step-by-step explanation:
f(x)=(2x-3)(3x+7)
The y intercept is when x=0
f(0) = (0-3) (0+7)
-3*7
-21
The y intercept is -21
A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.
Answer:
y = -15.9x² + 110.48x + 3.02
initial velocity: 110.48 ft/s
initial height: 3.02 ft
time to cath the ball at 6 ft: 6.92
Step-by-step explanation:
In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)
The initial velocity is the second coefficient.
The initial height is the third coefficient.
Replacing y = 6 into the equation and solving with the quadratic formula:
6 = -15.9x² + 110.48x + 3.02
0 = -15.9x² + 110.48x + 3.02 - 6
0 = -15.9x² + 110.48x - 2.98
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]
[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]
[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]
[tex]x_1 = 0.03[/tex]
[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]
[tex]x_2 = 6.92[/tex]
In the context of the problem, only x2 has sense.
Find the 91st term of the arithmetic sequence 5, -14, -33, ...
Answer:
a(91) = -1705
Step-by-step explanation:
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is a(91) = 5 - 19(91 - 1), or
a(91) = 5 - 1710, or
a(91) = -1705
The 91st term of the arithmetic sequence is -1705.
What is Arithmetic progression?An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.
Given that an arithmetic sequence 5, -14, -33, ...
nth term of an AP is, a(n) = a + (n-1)d
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is
a(91) = 5 - 19(91 - 1)
a(91) = 5 - 1710
a(91) = -1705
Hence, The 91st term of the arithmetic sequence is -1705.
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Eduardo has purchased a home with an assessed value of $179,000. The
property tax rate in his area is 2.3%. What is his monthly tax payment?
O A. $343.08
O B. $341.98
C. $345.76
O D. $348.67
Answer: A. 343.08
Step-by-step explanation:
with the property tax rate and monthly tax payment is what were looking for
Solve for x. Describe the steps taken to find the solution.
3( 4x - 3) + 8 = 2x + 10x -1
Answer:
see below
Step-by-step explanation:
3( 4x - 3) + 8 = 2x + 10x -1
Distribute
12x - 9 +8 = 2x+10x -1
Combine like terms
12x - 1 = 12x - 1
Subtract 12x from each side
12x - 1 -12x = 12x - 1-12x
-1 = -1
This is true for all values of x
x = all real numbers
Answer:
All real numbers are solutions.
Step-by-step explanation:
3 ( 4x - 3 ) +8 = 2x + 10x - 1 Example 1:
12x - 9 + 8 = 12x - 1 3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1
- 12x = -12x 3 ((4) - 3) + 8 = (2) + (10) - 1
-9 + 8 = -1 ( 12 - 9 ) + 8 = 12 - 1
-1 = -1 3 + 8 = 12 - 1
Example 2 11 = 11
3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1
3 ((24) - 3) + 8 = (12) + (60) - 1
72 - 9 + 8 = 72 - 1
72 - 1 = 72 - 1
71 = 71
In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°
Please send help I really need your help
Answer:
#4: 4 hits
Step-by-step explanation:
At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.
Answer:
the answer for number four is four and number five is 39
I am not sure about number 5 plz check somebody.
Step-by-step explanation:
please help asap, will mark brainlest. Thanks
Answer:
2.
4x^2 + 4 - 5x + x - 2x^2 + 8
= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)
= 2x^2 - 4x + 12
=> D is correct
3.
2x^2 + 6x - 7x + 8 - 3x^2 + 1
= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)
= -x^2 - x + 9
=> C is correct
4.
B is correct (4 and 3)
Hope this helps!
:)
just help me plssssssssss
Answer:
The perimeter of triangle is 30ft.
Step-by-step explanation:
First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
Let b = 12,
Let c = 13,
[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]
[tex]a = \sqrt{25} [/tex]
[tex]a = 5feet[/tex]
Next you have to find the perimeter of triangle by adding all the sides together :
[tex]perimeter = 5 + 12 + 13[/tex]
[tex]perimeter = 30feet[/tex]
please help:)))))))))))))
Answer: The area is 103.5
Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5
Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?
—
Enter
Answer:
$8.73 per package of candy bars
Step-by-step explanation:
10.25 - 1.52=
What is the value of x?
A.2
B.3
C.6
D.7
Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft
Answer:
4
Step-by-step explanation:
Find the Surface Area of the Square Pyramid
Step 1:
Step 2:
Step 3:
Step 4: *
(20 Points)
Step-by-step explanation:
Step 1: Set up the formula for the surface area of a regular pyramid.
SA = [tex]\frac{p*h}{2} + B[/tex]
where :
SA equals the total surface area of the pyramid, p equals the perimeter of the base, h equals the slant height of the pyramidB equals the area of the base.Step 2: Plug the perimeter of the base into the formula
you can calculate the perimeter by multiplying the length of one edge by the number of edges.
Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)
Step 4: find the area of the base (depend on the shape of the base)
Hope it will find you well.
Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.
Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}
Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.
Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.
Step-by-step explanation:
To find the probability
Total marbles = 5 + 3 + 6 + 2 = 16
P pink = 5/ 16
P orange = 3/16
P green = 6/ 16 = 3/8
P yellow = 2/16 = 1/8
Part B when we divide 80 by 16 = 5
So she drew every marble 5 times
So 3 x 5 = 15
She drew the orange marble 15 times
PLEASE ASAP
graph
-1
Answer:
on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line
Step-by-step explanation:
SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200.
a) If you scored 950, what would be your percentile?
b) If you scored 1100, what percent of students scored better than you?
c) If your percentile was 92%, what did you score on the SAT?
Answer:
My sister is getting ready to prepare, I would say 1100 it means you are above.
Step-by-step explanation:
Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)
Answer:
Step-by-step explanation:
The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).
The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.
The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x))."
For given example,
f(x) = x²
The graph of a function f(x) would be a parabola with vertex at origin (0, 0).
And g(x) = 1/3 f(x)
⇒ g(x) = 1/3 (x²)
We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.
Since for a parabola g(x) the quadratic coefficient is 1/3.
This means the parabola g(x) is wider than the parabola f(x)
So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.
The graph of g(x) is parabola (as shown in following figure)
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Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small
Answer: it’s B
Step-by-step explanation:
I just took the test
In the middle of a basketball court, the circle has a diameter of 5 feet. If
Mrs. Gilbertson's daughter walked around the circle 12 times, how far did
she walk? Use 3.14 for TT. *
Answer:
The distance that Mrs. Gilbertson's daughter walked was 188.4 feet
Step-by-step explanation:
Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D
Where:
D = 5 ft
Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft
Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9
Answer:
4x+9, 1st degree binomial
Step-by-step explanation:
It's already in standard form
a pool is in the shape of a rectangular prism holds 1800 cubic feet of water. the pool is 6 feet deep and 10 feet wide. what is the length of the pool in yards
Answer:
Step-by-step explanation:
length = 1800 / 6/10 = 30 ft long = 10 yard
WIll give brainliest help!!!
Answer:
d
Step-by-step explanation:
Answer:
C. 35
Step-by-step explanation:
7/40=x/200
200/40 x 7=35
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(4n^2 + -5n + -1) (3n^2)
Answer:
[tex]12n^4-15n^3-3n^2[/tex]
Step-by-step explanation:
The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:
[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]
[tex]12n^4-15n^3-3n^2[/tex]
evaluate this expression:
(1/5 x 5) ^5
Answer:
The answer is x ^5
answer with work pls !!
325,310,289,288,285,285,285,280,273. the mean of the set is 290 pounds what is the mean absolute deviation of the data set,to the nearest whole number
Answer:
276
Step-by-step explanation:
Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
PLEASE HELP
The graph of the absolute value parent function will be V-shaped. Then the correct option is C.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The graph of the absolute value parent function will be V-shaped.
Then the correct option is C.
More about the absolute function link is given below.
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Answer:
A,C,D
Step-by-step explanation:
just took the test
Find the value of the missing angle. Will mark brainliest.
Answer:
100
Step-by-step explanation:
Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!
Answer:
100
Step-by-step explanation:
Hope this helped!
