Answer:
the drama club will have 108 slices left.
Step-by-step explanation:
19 x 6 = 114
114 - 6 = 108
108 Slices are left behind.
what is the vertex of the graph of the quadratic function f(x)= x^{2} + 6x + 10?
Answer:
vertex = (- 3, 1 )
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 6x + 10 ← is in standard form
with a = 1, b = 6 , then
x = - [tex]\frac{6}{2}[/tex] = - 3
substitute x = - 3 into f(x) for corresponding y- coordinate
f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1
vertex = (- 3, 1 )
Given the perimeter of a square is (8x-6). What is the area,in cm², of the square ?
Answer:
16x² - 24x + 9
Step-by-step explanation:
One side = (8x-6)÷4
One side = 2x - 3/2
Area = (2x-3/2)(2x-3/2)
Open the brackets
2x(2x-3/2) - 3/2(2x-3/2)
= 16x² - 24x + 9
would appreciate some help! :)
AABC ~ AQRS
Find the missing side length, m.
R
B
15
m
А-
С
4.
s
10
m = [?]
=
===========================================
Work Shown:
AC/QS = BC/RS
4/10 = m/15
4*15 = 10*m
60 = 10m
10m = 60
m = 60/10
m = 6
The first equation is possible because the triangles are similar. The horizontal sides AC and QS form the ratio AC/QS. This is equal to the ratio of the diagonal sides BC/RS since similar triangles have their sides in proportion.
After the equation is set up, we cross multiply and then solve for m.
If a sprinkler waters 1/15 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?
Answer:
ok so first we know that 1/3 of a hour is 20 minutes since
60*1/3=20
so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15
20*15=300
300 minutes or 5 hours
Hope This Helps!!!
Answer:
5 Hour
Step-by-step explanation:
For 1/15 of lawn it takes = 1/3
So, for entire lawn it will take = 1/3 * 15 = 5
For more information on this question look at https://brainly.com/question/7541140
[RevyBreeze]
The exponential function hhh, represented in the table, can be written as h(x)=a\cdot b^xh(x)=a⋅b
x
h, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx h(x)h(x)h, left parenthesis, x, right parenthesis
000 101010
111 444
Complete the equation for h(x)h(x)
The cοmplete equatiοn fοr h(x) is h(x)=4
What is an expοnential functiοn?An expοnential functiοn is a mathematical functiοn οf the fοrm f(x) = a^x, where a is a cοnstant and x is the variable. The cοnstant a is called the base οf the expοnential functiοn, and it is typically a pοsitive real number. When a is greater than 1, the functiοn represents expοnential grοwth, while when a is between 0 and 1, the functiοn represents expοnential decay.
Expοnential functiοns have sοme special prοperties, such as the fact that the rate οf change οf the functiοn is prοpοrtiοnal tο its value. In οther wοrds, the larger the value οf the functiοn, the faster it grοws οr decays. Expοnential functiοns alsο have a hοrizοntal asymptοte at y = 0 when a is between 0 and 1, and nο hοrizοntal asymptοte when a is greater than 1.
Expοnential functiοns are widely used in mathematics, science, ecοnοmics, and engineering tο mοdel phenοmena that exhibit expοnential grοwth οr decay, such as pοpulatiοn grοwth, radiοactive decay, and cοmpοund interest. They are alsο used in prοbability theοry tο mοdel the distributiοn οf randοm variables, such as the expοnential distributiοn.
Tο cοmplete the equatiοn fοr h(x), we need tο find the values οf a and b in the expοnential functiοn that cοrrespοnd tο the given table οf values:
x | h(x)
0 | 10
1 | 10
2 | 10
3 | 4
4 | 4
5 | 4
Since the value of h(x) is constant (equal to 10) for x = 0, 1, and 2, we know that [tex]b^0 = b^1 = b^2 = 1[/tex], which implies that b = 1.
Substituting b = 1 into the exponential function, we have:
[tex]h(x) = a * 1^x = a[/tex]
To find the value of a, we can use any of the given values of h(x) for which x > 2. For example, when x = 3, we have:
h(3) = 4 = a
Therefore, the complete equation for h(x) is:
[tex]h(x) = 4 * 1^x = 4[/tex]
To know more about exponential function visit:
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l=8cm b=6cm h=5cm
find the total surface area and volume of cuboid
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a club?.
Answer:
52-1=51+1=52/4=13/4=3
answer: 1 out 0f 52
Step-by-step explanation:
Answer:
20%
Step-by-step explanation: I took the test
What is the ratio for sinM (Look at the picture)
A) 7/24
B) 7/25
C) 25/24
D) 24/25
Answer:
B) 7/25
Step-by-step explanation:
sin M = opposite/hypotenuse = 7/25
Rearrange the equation to isolate E:
M=
Answer:A
Step-by-step explanation:
The solution is in the file below
David must install fencing around a lot that is shaped like a right triangle. The side of the lot that runs east-west is 200 ft long. The side of the lot that runs north-south is 125 ft long. Calculate how many feet of fencing he will need to surround the entire lot. If necessary, round your answer to the nearest whole.
1. Observe problem
I think 200ft and 125 ft are both sides, so:
sqrt(200^2+125^2) is 25sqrt{89}
which is
235.84952
How many cubes are there
Answer:
there are 9 cubes
make me brainliest if u r satisfied
Answer:
there are 9 cubes
:) ㅡㅡㅡㅡㅡ
can someone pleaseeee helpppp me find the hypotenuse of x?
225 cm
55°
390cm
165cm
168cm
pleaseeee i need the calculations toooooo
Answer:
280.8
Step-by-step explanation:
use the pythagorean theorem to find x
225^2 + 168^2 = x^2
[tex]\sqrt{168^{2} + 225^{2} }[/tex] = x
280.8
what is x - 2 5/8 = 6 1/4
Answer:
8 7/8 is the correct answer
Step-by-step explanation:
hope this helps
[tex]x - 2 \frac{5}{8} = 6 \frac{1}{4} [/tex]
[tex]x - \frac{21}{8} = \frac{25}{4} [/tex]
[tex]x = \frac{50}{8} + \frac{21}{8} [/tex]
[tex]x = \frac{71}{8} [/tex]
[tex]x = 8 \frac{7}{8} [/tex]
Find the value of x.
(7x+ 31)
Use given triangle to fill in the blank.
Answer:
[tex]\sin B=\displaystyle\frac{b}{c}[/tex]
Step-by-step explanation:
Hi there!
This is the sine ratio:
[tex]\sin\theta=\displaystyle\frac{opposite}{hypotenuse}[/tex] where "opposite" is the side opposite the angle, "hypotenuse" is the hypotenuse of the right triangle and theta is the angle.
To find sin B, we must identify which sides of the triangle are the opposite side and the hypotenuse.
The side opposite to angle B would be b.
The hypotenuse is the side opposite the right angle, and that would be c.
[tex]\sin B=\displaystyle\frac{b}{c}[/tex]
I hope this helps!
Answer:
The choice second
[tex] \sin( B) = \frac{b}{c} [/tex]
Step-by-step explanation:
sin B = opposite/hypotenuse
What is the constant of proportionality in dollars per granola bar?
4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00
: Have a nice day!!! :)
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? If you get stuck, consider using the table.
Answer:
960 pennies or $ 9.60
Step-by-step explanation:
2400/2.5 = 960 pennies
Is 20b+16c equal to 4(4b+5c)
Answer:
No
Step-by-step explanation:
Simplify : Distribute
4(4b+5c)
16b+20c
Hence, 4(4b+5c) equal to 16b+20c.
Write the product as a power.
15⋅15⋅15⋅15
Answer:
[tex]15^4[/tex]
Step-by-step explanation:
Given the following question:
[tex]15\times15\times15\times15[/tex]
In order to find the exponent of the given expression we count how many times the number is being multiplied by itself, that number would then be the exponent.
[tex]15\times15\times15\times15[/tex]
They're four 15's
[tex]15^4[/tex]
To prove the answer:
[tex]15\times15\times15\times15=50625[/tex]
[tex]15^4=50625[/tex]
[tex]15^4[/tex]
Hope this helps.
How many solutions to this
Answer:
one-solution
Step-by-step explanation:
1-12-3b=-3b+15
-11-3b=-3b+15
-3b=-3b+15+11
3b-3b=26
b=26
Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he give the cashier $20.00? *
Answer:
$13.70
Step-by-step explanation:
20 - 2.25 x 2.8
20-16.3 = 13.7
How would I find the answer
Answer:
by posting a question :)
Step-by-step explanation:
Answer:
Um, you didn't provide anything for me to answer so i don't really know what to provide for you.
Step-by-step explanation:
is -11/-3 positive or negative
[tex] \huge \boxed{ \tt positive}[/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow \sf \dfrac{ - 11}{ - 3} [/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow \sf \dfrac{ \cancel- 11}{ \cancel - 3} [/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow \sf \dfrac{ 11}{ 3} [/tex]
Divide using long division
pls show work
9x^3+18x^2-4x-8/3x-2
Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?
Answer: 180 miles x 3 hours = 540
540/2 = 270
270 is the average speed
Step-by-step explanation:
An 8-bar package of soap sells for $4.00. What is the unit rate in cost per bar
What would the answer be, also how do I work it out ?
Answer:
The distance is √58
or 7.61577...
Step-by-step explanation:
If you draw a right triangle where the given line is the hypotenuse you can use Pythagorean theorem (a²+b²=c²) to find the length.
It would be 7 units tall and 3 units wide.
7²+3²=49+9=58
The distance is √58
Given the volume of the cone below, identify the radius, height, and diameter.
Note: Figure is not drawn to scale.
Given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmWhat is the Volume of a Cone?Volume of a Cone = 1/3 × πr²h
Given that the volume of the cone is: 60π
Thus:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 2(6) = 12 cmThus:
Volume = 1/3 × π × 6² × 5
Volume = 1/3 × π × 6² × 5 = 60π
Therefore, given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmLearn more about volume of cone on:
https://brainly.com/question/13677400
Answer:
Here is the answer as a picture.
6/11 = c/77 solve the proportion
Hey there!
6/11 = c/11
6(77) = c(11)
6(77) = 11(c)
462 = 11c
We got the new equation above because we had to CROSS MULTIPLY.
11c = 462
DIVIDE 11 to BOTH SIDES
11c/11 = 462/11
CANCEL out: 6/6 because it give you 1
KEEP: 462/11 because it help solve for the c-value
NEW EQUATION: c = 462/11
SIMPLIFY IT!
c = 42
Therefore, your answer is: c = 42
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
Answer:
x = 90Step-by-step explanation:
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
(1/2)x = 45
x = 45 * 2
x = 90
--------------------
check
90 : 2 = 45
the answer is good
Your answer is [tex}x = 45 * 2x = 90[/tex]
x = 45 * 2
x = 90
90 : 2 = 45
Hope this helps
Sorry if the thing says alot of "tex". Trying something new