Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]
Solution; Provided Directly Above
surface area of a triangular prism
Answer:
54ft squared
Step-by-step explanation:
All faces:
Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared
Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared
Bottom: 3*10/2= 30/2= 15ft squared
=54 ft squared
Surface area of the triangular prism is 96 feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
A triangular prism has 2 triangular bases and 3 rectangular lateral faces.
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
There are 2 triangles at the top and bottom.
Here base = 3 feet and height = 2 feet
Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height
= base × height
= 3 × 2
= 6 feet
There are 3 rectangular faces.
Area of the rectangle = Length × width
Here, length = 10 feet and width = 3 feet
Area of the rectangular face = 10 × 3 = 30 feet
Since there are 3 rectangular faces,
Total lateral surface area = 3 × 30 = 90 feet
Total surface area of the triangular prism = 90 + 6 = 96 feet
Hence the total surface area of the given triangular prism is 96 feet.
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During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?
Answer:
26miles
Step-by-step explanation:
Let Nina's husband's (Ed) mileage = x miles
Nina = (x + 6) miles
Combined mileage = 46
Nina's miles + Ed's miles = 46
x + (x+6) = 46
x+x+6 = 46
2x +6 = 46
2x = 46-6
2x = 40
x = 40/2 = 20miles
Nina's husband covered 20miles
Nina covered = x+6 = 20+6 = 26miles
Nina walked 26miles
HELP!!!!! Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is .
Answer:
Below in bold.
Step-by-step explanation:
9x^2 - 16
Comparing this with the standard form
ax^2 + bx + c
ac = 9*-16 = -144
b = 0
-12 and 12 multiply to get ac and add to get b.
Factored form is
(3x - 4)(3x + 4).
The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 9x² - 16
Now, We know that;
General form of quadratic equation is,
⇒ ax² + bx + c
Here, The quadratic equation is,
⇒ 9x² - 16
Hence, By comparing,
⇒ a = 9
⇒ b = 0
⇒ c = - 16
Thus, The value of ac is,
⇒ ac = 9 × - 16
= - 144
And, The factored form is,
⇒ 9x² - 16
⇒ (3x)² - 4²
⇒ (3x - 4) (3x + 4)
Thus, The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the verbal descriptions with the correct equations.
Answer:
Step-by-step explanation:
6 more than a number is 36: x+6=36
36 more than a number is 6: x+36=6
6 times a number is 36: 6x=36
f(n) = 65 - 4n; 29
determine which term produces the given number?
Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your value is correct
Answer:
Step-by-step explanation:
The key here is knowing that the equation of the line that passes through these points is same
Thus having (6,14) and (0,0), the slope is as follows;
m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3
Now we can use this slope here to get the value of y in the question
All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)
That would be;
7/3 = y-14/1-6
7/3 = y-14/-5
cross multiply;
-35 = 3(y-14)
-35 = -3y + 42
-3y = -35-42
-3y= -77
y = -77/3
y = 77/3
1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve?
Is there enough information to enable you to find a solution to your problem?
Zachary is solving the following equation.
Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by .
Divide both sides of the equation by .
Distribute over (x – 8).
Distribute over (x – 8).
Don't know if there was supposed to be another option but, it would be distribute over (x - 8).
Answer:
Distribute 3/4 over (x - 8)
Step-by-step explanation:
brainliest please and can yall please thank me and give five stars
Suppose you bought 5 turkey and 7 ham
sandwiches for $38.50. The next day, you buy 6
ham and 4 turkey sandwiches for $32,00. How
much does each type of sandwich cost?
Answer:
turkey: $3.50
ham: $3
Step-by-step explanation:
Use system of equations:
turkey-x ham-y
5x+7y=38.5
4x+6y=32
multiply by 4 on equation 1 and multiply by 5 on equation 2
20x+28y=154
20x+30y=160
-2y=-6
y=3 ham is $3
5x+7(3)=38.5
5x=38.5-21
5x=17.5
x=3.5 turkey is $3.50
What does a small Mad tell you about a set of data?
Answer:
The numbers are closer to each other and the range will be smaller. The numbers will also be closer to the mean and median.
Step-by-step explanation:
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
Could you Show work please
Answer:
2784 cm^2
Step-by-step explanation:
I have indicated in the pic there are 4 types of rectangles:
green : 20 x 4 = 80
red : 18 x 4 = 72
yellow : 20 x 18 = 360
blue : 18 x 16 = 288
green has 6 identical surface area so 6 x 80 = 480
red has 4 so 4 x 72 = 288
yellow has 4 so 4 x 360 = 1440
blue has 2 so 2 x 288 = 576
total : 480 + 288 + 1440 + 576 = 2784
which statements accuretly describe the function f(x)=3(square root 18)^x
Answer:
3 is being multiplied by the square root of 18 which is being raised to the "x" value
(PLS HELP WILL MARK BRAINLIEST) Which of these is an approximation of 7/9
to the nearest hundredth?
A) 0.078
B, 0.78
C) 1.29
D) 7.8
Answer:
B
Step-by-step explanation:
7/9 = 0.777777...
This rounds to 0.78
The pair of figures is similar find X round to the nearest 10th if necessary
Answer:
x = 4.5 or rounded 5
Step-by-step explanation:
Because they are equal you can make the equation:
x/2 = 18/8
this means that 8 divided by 2 equals (4)
what 18 divided by x is (4)
this means 4 times x = 18
4x = 18
/4 /4
x = 4.5 ft
What word phrase can you use to represent the algebraic expression 7x?
Answer:
7 times x
Step-by-step explanation:
When the expression is seen, we can say that it displays 7 times x.
4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z
Answer:
and 4x-5x-4x+3y+7y-3y-8z+10z-8z
-5x+7y-6z :this is the answer
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts
Answer:
Step-by-step explanation:
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts
let x = amount of the 50% solution
A typical mixture equation using the decimal equivalent to
0.50x +0 .20(20) =0 .40(x+20)
0.50x + 4 = 0.40x + 8
0.50x - 0.40x = 8 - 4
0.10x = 4
x = 4/0.1
x = 40 qts of 50% solution
Hence 40 quarts of 50% solution must be added.Answer:
40 quarts I checked in RSM portal
Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equals 0.y = 0 x – y = 0 y = y equals StartFraction one-half EndFraction x.x
Answer:
its is C. X-Y= 0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plz let me know if this is incorrect
What is (2x+3)(x- 8)= 3+2(x- 5)(x + 5)
Answer:
- 23/13
Step-by-step explanation:
first, we do the FOIL multiplication (First, Outer, Inner, Last)
(2x+3)(x- 8)= 3+2(x- 5)(x + 5)
2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))
2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)
2x² - 16x + 3x - 24 = 3 + 2(x² - 25)
2x² - 16x + 3x - 24 = 3 + 2x² - 50
2x² - 13x - 24 = 3 + 2x² - 50
after that move all component which have x to the left
2x² - 2x² - 13x = 3 - 50 + 24
-13x = 23
x = - 23/13
Answer:
x^3= 11/-7
Step-by-step explanation:
(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=
2x^2-16x+3x-24= 3+2x-10+x+5
-11x-24= -2+3x
-11x^2 -24 = -2+3x
-11x^2-3x = -2+24
-14x^3 = 22
x^3 = 22/ -14
x^3 = 11/-7
x
Which of these points are on a line that has a slope of -3?.
(9, 2), (4,3)
(2,9), (4,3)
(9, 2), (3, 4)
(2,9), (3, 4)
Answer: (2, 9), (4, 3)
Step-by-step explanation:
[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]
I need help with these asap like i’ll fr cashapp you momey if you do it i need it for todayyy wassup?!!
Answer:
Look at the picture**
Step-by-step explanation:
X2
Answer:
Step-by-step explanation:
x2
i think of a number, multiply it by 2, subtract 3, and multiply the result by 4
Answer:
4(2x-3)
Step-by-step explanation:
Let the number be x
⇒ Multiplying by 2 makes it 2x
⇒ Subtracting 3 makes it 2x-3
⇒ Multiplying the whole by 4 gives 4(2x-3)
6+
Зу + 4 < 6
helppppppppp
Step-by-step explanation:
6 + 3y + 4 < 6
10 + 3y < 6
3y < -4
y < -4/3
Answer:
y < -4/3
Step-by-step explanation:
6+ Зу + 4 < 6
Combine like terms
10 +3y < 6
Subtract 10 from each side
10 +3y - 10 < 6-10
3y < -4
Divide each side by 3
3y/3 < -4/3
y < -4/3
What is the measure of c?
1489
42°
С
90°
422
489
O 42°
O 48°
O 90°
0 180°
Please help me with this question
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
C - 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
No need
how would i solve this?
Answer: C
Step-by-step explanation:
The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.
so the possible integers would be -2 -1 0.
Bryan’s golf coach suggested he take some golf lessons. The pro at windy fairways charges $20.00 per month plus $10.00 per lesson. The pro at sunny sands charges $100.00 per month for unlimited classes. How many classes does he have to take for both pros be the same price?
Answer:
8
Step-by-step explanation:
(100 - 20) / 10 = 8
Answer: He has to take a class per month from the both pros
Step-by-step explanation:
Which table represents exponential growth?
:))))
Answer: x: 1,2,3,4 y: 2,4,8,16
Step-by-step explanation:
Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.
1 | 2
2 | 4
3 | 8
4 | 16
5 | 32
6 | 64
etc.
Answer:
option B edg 2021
Step-by-step explanation:
im too lazy to explain but its option B
PlZ HELP ME W THIS!! (I SUCK AT MATH) MARKING BRAINEST!!!
Answer:
x = 19, x = 17
Step-by-step explanation:
(x-18) ^2 = 1
Take the square root of each side
sqrt((x-18) ^2) = ±sqrt(1)
x-18 = ±1
Add 18 to each side
x-18 +18 =18± 1
x = 18+1 x=18-1
x = 19, x = 17