Answer:
a = 13
Step-by-step explanation:
Isolate the variables by dividing each side factors that do not contain the variable.
Evaluate 5−1−90. Write your answer as a fraction in simplest form.
Answer:
-86/1
Step-by-step explanation:
subtract and convert
what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help
Answer:
150.86
Step-by-step explanation:
to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!
Pls help.
Question above
Answer:
[tex]m = \frac{5}{2} [/tex]
Step-by-step explanation:
Here are the laws which would be used in this question:
Indices:
• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]
Logarithm
• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]
[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]
[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]
[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]
[tex] = \frac{5}{2} log_{m}(2) [/tex]
Find the length of the missing leg.
Answer:
Step-by-step explanation:
using formula
a^2+b^2=c^2
x^2+4^2=8^2
x^2+16=64
x^2=64-16
x=[tex]\sqrt{48}[/tex] cm
Answer:
x = [tex]\sqrt{48}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 4² = 8²
x² + 16 = 64 ( subtract 16 from both sides )
x² = 48 ( take the square root of both sides )
x = [tex]\sqrt{48}[/tex]
anwer pls pls pls the correct
Answer:
a)2.5 b)-1200
Step-by-step explanation:
a)2(-5)/4=-10/-4=5/2=2.5
b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200
Answer:
2.5, - 1200
Step-by-step explanation:
(a)
Substitute the given values into the expression
[tex]\frac{2a}{c}[/tex] = [tex]\frac{2(-5)}{-4}[/tex] = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5
(b)
2a × b × 5c
= 10abc
= 10 × - 5 × - 6 × - 4
= - 50 × 24
= - 1200
What is the value of x?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Rishan is building a number 3091 using Place-value blocks. There are no thousands block. How many hundreds blocks can he use instead?
Given:
The number is 3091.
To find:
The number of hundreds blocks if there are no thousands block.
Solution:
The given number is 3091.
It can be written as:
[tex]3091=3000+0+90+1[/tex]
[tex]3091=3\times 1000+0\times 100+9\times 10+1\times 1[/tex]
[tex]3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones[/tex]
There are no thousands block. So,
[tex]3000=30\times 100[/tex]
[tex]3000=30\ Hundreds[/tex]
Therefore, the number of hundreds blocks in 3091 is 30.
10 mi
7 mi
7 mi
I need the volume for
Step-by-step explanation:
multiply length, width and height. 7x7x10=197.33
The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.
Answer:
[tex](a)\ -16t^2 + 7t + 63=0[/tex]
[tex](b)\ t = 2.215[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 7t + 63[/tex]
Solving (a): Equation when it hits the ground.
This means that [tex]h(t) = 0[/tex]
So, we have:
[tex]h(t) = -16t^2 + 7t + 63[/tex]
[tex]-16t^2 + 7t + 63=0[/tex]
Solving (b): The value of t in (a)
[tex]-16t^2 + 7t + 63=0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
This gives:
[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]
[tex]t = \frac{-7 \± 63.88}{-32}[/tex]
Split
[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]
[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]
[tex]t = -1.7775; or\ t = 2.215[/tex]
Time can't be negative; So:
[tex]t = 2.215[/tex]
hELP!!!!!!!!!!!!!!!!!!
Answer:
the second one
Step-by-step explanation:
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest possible volume
Answer:
[tex]x=6+3\sqrt{2}[/tex] is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base = [tex]12 -2x[/tex], height of the box = x
Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]
Differentiating the above equation and equating it to zero, we get –
d/dx [tex]((12-2x)^2 * x)[/tex]
d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]
d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]
[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]
On solving above equation, we get –
[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
Please help! I will give brainliest to the first correct answer!
Answer:
A)
Step-by-step explanation:
check that the formula in A works . . .
the 7th term should be 320
a(320) = 5(2)^7-1
= 5(2)^6
= 5(64)
= 320
Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? 6.75 4.50 2.25 9.00
Answer:
A 6.75
Step-by-step explanation:
i got a 100% on this test/quiz
a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
write a quadratic function in standard form whose graph passes through (-6,0)(-4,0)(-3,-18) f(x)= [answer]
Using the Factor Theorem, the quadratic equation is given by:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:
[tex]f(x) = a(x + 4)(x + 6)[/tex]
[tex]f(x) = a(x^2 + 10x + 24)[/tex]
Considering that it passes through (-3, -18), we can find a, hence:
[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]
[tex]3a = 18[/tex]
[tex]a = 6[/tex]
Hence the equation is:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
More can be learned about the Factor Theorem at https://brainly.com/question/24380382
What is the radius of polygon JKLMN ?
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
Evaluate 2n-6+5k/3(n-9) when n=4 and k=12
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]
[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]
[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]
[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]
[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]
[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]
[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]
[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]
[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]
[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]
[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]
[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]
[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]
[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
P L E A S E A N S W E R A S A P T H A N K S
Answer:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
55 divided by 10 = 5.5 around 5
Add all your numbers
Divide by the many numbers there are, go by the exact value or estimate if needed.
Please help me out this is not very easy for me.
Answer:
A
Step-by-step explanation:
what is the value of x in the equation 5x-7=28
5x -7 = 28
Add 7 to both sides:
5x = 35
Divide both sides by 5:
X = 7
The answer is x = 7
WILL MARK BRAINLIEST
Answer:
1 sample
Step-by-step explanation:
There is only one sample given for 20%
Answer:
the answer would be
b) 1 sample
what number multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6
=>10³
5 × 10³ × 10³ = 5 × 10⁶
The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b) in the form of (ac+bc).
We have an expression:
= 5×10³
We have to make the above expression equivalent to the [tex]5\times 10^6[/tex]
Let's suppose the number is x.
Now according to the question:
[tex]\rm (5\times10^3)\times x = 5\times 10^6[/tex]
[tex]\rm x = \frac{5\times 10^6}{(5\times10^3)}[/tex] (divide by 5×10³ on both sides)
x = 10³ (after simplification)
x = 1000
Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
Learn more about the distributive property here:
brainly.com/question/5637942
PLEASE HELP I WILL GIVE BRAINLiST
Write the equation of the circle graphed below.
Answer:
(x+5)²+(y+5)²=18
Step-by-step explanation:
r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9
=√18
the equation is :
(x+5)²+(y+5)²=18
I need help pls! Giving brainliest and extra points!
Answer:
y = 8x+6
Step-by-step explanation:
First find the slope since it is a linear function
m = (y2-y1)/(x2-x1)
= (18-2)/(1 1/2 - -1/2)
=16 / (1 1/2 +1/2)
= 16/2
= 8
The linear function is in the form
y = mx+b where m is the slope
y = 8x+b
Substitute the other point into the equation to determine b
10 = 8(1/2) +b
10 = 4+b
10-4 = b
6 = b
y = 8x+6
Please help me I really need this
Answer:
y-intercept = 2 so it’s the first answer option
Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.
PLS HELP THIS IS MY FINALS
[tex]\boxed{c.\:n\:=\:18}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ \frac{6}{18} = \frac{14}{42} \\ ⇢ \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
hey! i’ll give brainliest please help
Answer:
Symbol also in symbolizing something
Step-by-step explanation:
Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.
find m
PLEASE I NEED HELP ASAP PLZZZ
Answer:
M means measure so you're finding what PQR is
m∠PQR = about 60°
Gracie needs to measure 2⅜ cups of sugar. How many times must she fill up a ⅓ measuring cup to get the correct amount of sugar?
Answer:
7 and 1/8 i think
Step-by-step explanation: