Answer:
[tex]-40c^{2} d^{2} -32cd[/tex]
Step-by-step explanation:
-20c³ is the expression which is equivalent to (-5cd⁻⁴)(2cd²)².
To simplify the given expression, (-5cd⁻⁴)(2cd²)², we can apply the power of a product rule, which states that (ab)² is equal to a²b².
Let's break down the expression step by step:
(-5cd⁻⁴)(2cd²)²
First, let's square the expression (2cd²)²:
(2cd²)² = (2)²(c)²(d²)² = 4c²d⁴
Now, we substitute this result back into the original expression:
(-5cd⁻⁴)(4c²d⁴)
To simplify further, we can multiply the coefficients and combine the variables:
(-5)(4) = -20
(c)(c²) = c³
(d⁻⁴)(d⁴) = 1
Putting it all together, the expression (-5cd⁻⁴)(2cd²)² simplifies to -20c³.
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There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$ is $a$, then point $P$ is at $(3a, a^2+13a-11)$. If the slope of a line passing through $A$ and $P$ is $7$, find $a$.
Answer:
5
Step-by-step explanation:
Given:
A = (a, 14-a)
P = (3a, a^2 +13a -11)
the slope of AP is 7
a > 0
Find:
a
Solution:
The slope of AP is ...
m = (Py -Ay)/(Px -Ax)
7 = (a^2 +13a -11 -(14 -a))/(3a -a)
14a = a^2 +14a -25
25 = a^2
a = √25 = 5 . . . . . the positive solution
The value of 'a' is 5.
_____
Check
The point A is (a, 14-a) = (5, 9).
The point P is (3a, a^2 +13a -11) = (15, 79)
The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.
A square playground has sides that each measure 120 feet in length.
On a scale drawing, - inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?
Answer:
24 inches
Step-by-step explanation:
So, 1 inch = 5 feet
then, x inch = 120 feet
Let's represent this as a ratio.
1 inch / x inch = 5 feet / 120 feet
1 inch / x inch = 1 feet /24 feet
x = 24 inches
Simplify
2x + 5x^3 + 3x - 4x^3
Answer:
x³ + 5x
Step-by-step explanation:
2x+5x3+3x−4x3
=2x+5x3+3x+−4x3
Combine Like Terms:
=2x+5x3+3x+−4x3
=(5x3+−4x3)+(2x+3x)
=x3+5x
Answer:
[tex]\large \boxed{x^3+5x}[/tex]
Step-by-step explanation:
[tex]2x + 5x^3 + 3x - 4x^3[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]5x^3 - 4x^3+2x+3x[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]x^3+5x[/tex]
Please explain and help
Answer:
y=-x+2
Step-by-step explanation:
it is linear equation y=mx+b two points (0,2),(1,1)
find m ( slope)=y2-y1/x2-x1 ⇒1-2/1-0⇒-1
y=mx+b choosea point from graph :(0,2)\when x =0 the y=b=2
y=-x+2
A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?
Answer:
6450g
Step-by-step explanation:
1kg = 1000g
6.45kg = 6450
The watermelon weighs 6450 grams.
Given that a watermelon weighs 6.45 kilograms.
We need to convert its unit into grams.
To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.
The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:
Weight in grams = Weight in kilograms × 1000
Let's do the math:
Weight in grams = 6.45 kilograms × 1000 = 6450 grams
So, the watermelon weighs 6450 grams.
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-2(8 - 1)= find the product
Answer:
-14
Step-by-step explanation:
First, solve what is in the parentheses:
8-1=7
Now you have -2(7)
-2(7)=
-14
The product is -14!
Answer:
-14
Step-by-step explanation:
-2(8-1)
= -2*8 -2*-1
= -16 + 2
= -14
another solutión is:
-2(8-1)
= -2*7
= -14
Vladimir builds 3 legged stools and 4 legged tables. Last month he used 72 legs to build 3 more stools than tables. How many stools and how many tables did he build?
Answer:
9 tables
12 stools
Step-by-step explanation:
x= number of tables
x+3= number of stools
4x+3(x+3)=72
4x+3x+9=72
4x+3x=72-9
7x=63
x=9
So he built 9 tables and 12 stools
(9x4=36, 3X12=36, 36+36=72) CHECK
what is acceleration produced by a force of 12 newton exerted on an object of mass 3kg
please use latex because I have to copy this
Answer:
[tex] 4 ms^{-2} [/tex]
Step-by-step explanation:
[tex] \because Force = mass \times acceleration \\
\therefore Acceleration = \frac {Force} {mass} \\
= \frac {12}{3} \\
= 4 ms^{-2} [/tex]
Step-by-step explanation:
[tex]as \: we \: know \: that \: force = mass \times accerlation \: [/tex]
[tex]so \: it \: means \: accerltion = \frac{mass}{force} [/tex]
[tex]so \: put \: the \: values [/tex]
[tex]acceleration = \frac{12}{3} [/tex]
[tex]after \: solving \: it \: we \: get \: the \: answer \: 4[/tex]
a = 4 is ur answerso the acceleration is 4 m/s.^2
Hope it helps u
AB=a just incase it cant be seen
Answer:
Below
Step-by-step explanation:
● vector ED:
Vector ED = a since the Vectors ED and AB are colinear and have the same sense.
● vector CD:
Vector CD = -b since the vectors FA and CD are colinear but have opposite senses.
● Vector FB:
Vector FB = a+b
Using Chasles relation, we can express FB as the sum of the Vectors FA and AB.
● Vector BE:
Vector BE= -2b
The vectors BE and FA are colinear but have different senses. BE has a magnitude that is the double of FA's one.
●Vector EF:
Again using Chasles, relation we can express EF as the sum of the vectors FA and AB.
Vector EF= a+b
● Vector CF:
Vectors CF and AB are colinear but have opposite senses. The distance CF is the double of AB.
So: Vector CF=a+b
Please answer this question now
Answer:
A≈422.37
You use the equation A=πr(r+h2+r2) to find the surface area of a cone
Answer:
373.99 sq cm
Step-by-step explanation:
formula for surface area of cone is: πr(r+s) where r is radius and s is slant height.
π*7(7+10) = π*7(17) = π*119 = 3.14*119 = 373.99 sq cm
plz help.. plzz if you can
Answer:
C is a function
Step-by-step explanation:
We can use the vertical line test. If a vertical straight lines passes through the graph more than one, it is not a function
A and B are not functions
C is a function
square root of 324 ,576 and 704(show all steps)
Answer:
Step-by-step explanation:
√324=18
√576=24
√704=26.532....
33. Find the area of the parallelogram above?
Answer:
120
Step 1: Value of triangle's sides
First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.
Step 2: Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]. This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.
[tex]10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36[/tex]
Now, we have to subtract c^2 from a^2 to get b^2.
[tex]100-36=b^2\\100-36=64\\b^2=64[/tex]
Finally, we find the square of 64 and that is 8.
8 is our height.
Step 3: Finding the area
This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).
[tex]8*15=120\\Area=120[/tex]
Our area is 120.
Answer:
120
Step-by-step explanation:
at first you need to calculate h Using the Pythagorean relation
10
[tex]10 { }^{2} = 6 {}^{2} + x {}^{2} [/tex]
[tex] x {}^{2} = 100 - 36 = 64[/tex]
[tex]x = 8 = h[/tex]
area=
[tex]8 \times 15 = 120[/tex]
solve the multi step literal equation: solve equation for A b^2A^2-3g=q
Answer:
A = ± [tex]\sqrt{\frac{q+3g}{b^2} }[/tex]
Step-by-step explanation:
Given
b²A² - 3g = q ( add 3g to both sides )
b²A² = q + 3g ( divide both sides by b² )
A² = [tex]\frac{q+3g}{b^2}[/tex] ( take the square root of both sides )
A = ± [tex]\sqrt{\frac{q+3g}{b^2} }[/tex]
roberta is 6 times danielles age. in 12 years, roberta will only be 2 times danielles age. how old is danielle now?
Answer:
the answer is 3
Step-by-step explanation:
PLEASE HELP
Water flows through a pipe at a rate of 490 milliliters every 6.5 hours. Express this
rate of flow in fluid ounces per minute. Round your answer to the nearest hundredth.
Answer:
[tex]0.042~\dfrac{fl~oz}{min}[/tex]
Step-by-step explanation:
1 gal = 231 in.^3
1 gal = 128 fl oz
1 in. = 2.54 cm
1 ml = 1 cm^3
[tex]\dfrac{490~ml}{6.5~hour} \times \dfrac{1~cm^3}{1~ml} \times \dfrac{1~in.^3}{(2.54~cm)^3} \times \dfrac{1~gal}{231~in.^3} \times \dfrac{128~fl~oz}{1~gal} \times \dfrac{1~hour}{60~min} =[/tex]
[tex]= 0.042~\dfrac{fl~oz}{min}[/tex]
Answer:
On delta math its 0.04
Step-by-step explanation:
Find the value of x. Your answer must be exact.
X
12.
600
X=
Answer:
x = 6√3Step-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 12
The opposite is x
Substitute the values into the above formula and solve for x
That's
[tex] \sin(60) = \frac{x}{12} [/tex]
[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
[tex]x = \frac{ \sqrt{3} }{2} \times 12[/tex]
We have the final answer as
x = 6√3Hope this helps you
Compute the value of each expression |-1||-||5|
Answer:
5
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between − 1 and 0 is 1
1 |-5|
Multiply | − 5 | by 1
The absolute value is the distance between a number and zero. The distance between − 5 and 0 is 5
Hope this can help
Write an equation for the line in the graph that passes through the points (0,4) and (12,16).
Answer:
We have,
y-y1=m(x-x1)
or,y-4=-1(x-0)
or,y-4=-x
or,x+y=4 is the required equation
Step-by-step explanation:
it it helps u ...plz mark it as brainliest
Calculate the volume and surface area of a cone with the base of 20cm, the vertical hieght of 34cm and 35.6cm leaning height.
Answer:
Step-by-step explanation:
Volume = 1/3πr²h
Surface Area = πr(r+√(h²+r²))
V = 1/3π(10)²(34) = 3560 .5 cm³
SA = π(10)(10 + √(34²+10²)) = 1427.5 cm²
Solve logs (8 - 3x) = log20 for x.
A. X = 14
B. X = -13
C.x = -8
D. X= -4
Answer:
x = -4
Step-by-step explanation:
logs (8 - 3x) = log20
Since we are taking the log on each side
log a = log b then a = b
8 -3x = 20
Subtract 8 from each side
8 -3x-8 =20 -8
-3x = 12
Divide by -3
-3x/-3 = 12/-3
x = -4
Answer:
[tex] \boxed{\sf x = -4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: x \: over \: the \: r eal \: numbers:[/tex]
[tex] \sf \implies log(8 - 3x) = log 20[/tex]
[tex] \sf Cancel \: logarithms \: by \: taking \: exp \: of \: both \: sides:[/tex]
[tex] \sf \implies 8 - 3x = 20[/tex]
[tex] \sf Subtract \: 8 \: from \: both \: sides:[/tex]
[tex] \sf \implies 8 - 3x - 8 = 20 - 8 [/tex]
[tex] \sf \implies - 3x = 12 [/tex]
[tex] \sf Divide \: both \: sides \: by \: - 3:[/tex]
[tex] \sf \implies \frac{-3x}{-3} = \frac{12}{-3} [/tex]
[tex] \sf \implies x = - 4[/tex]
The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?
Answer:
5,580
Step-by-step explanation:
Rectangle: 36x30x60=6480
Triangle: 1/2x15x20x6=900
6480-900=5,580
The foam are used to package this product is cubic centimeters.
What is the volume of the rectangular prism?The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.
Area of rectangular prism = 2(length x width + length x height + width x length)
Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)
= 10080 cubic centimeters
Let's find the base area:
The formula to find the base area is,
B = ½bh
Triangle area = 1/2 x 15 x 20 x 6
Triangle area = 900
10080 - 900 = 9180
Hence, the foam are used to package this product is cubic centimeters.
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10. Write a word problem for this equation:
n ($25) = $125
Answer:
The word problem is "How many $25 are there in $125?"
Step-by-step explanation:
Given
[tex]n(\$25) = \$125[/tex]
Required
Write a word problem for the expression
We start by solving the given equation
[tex]n(\$25) = \$125[/tex]
Divide both sides by $25
[tex]\frac{n(\$25)}{\$25} = \frac{\$125}{\$25}[/tex]
[tex]n = \frac{\$125}{\$25}[/tex]
[tex]n = 5[/tex]
This implies that there are 5, $25 in $125
Hence; The word problem is "How many $25 are there in $125?"
-104=8x what is the answer?
Answer:
x=-12
Step-by-step explanation:
8x=-104
8x÷8=-104÷8
x=-104÷8
x=-13
Step-by-step explanation:
8x:-104
8÷8x:-104÷8
x:13
please help me on this
Answer:
YZ = 8.5
Step-by-step explanation:
Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is
[tex]\frac{YX}{YZ}[/tex] = [tex]\frac{XR}{ZR}[/tex] , substitute values
[tex]\frac{11.9}{YZ}[/tex] = [tex]\frac{7}{5}[/tex] ( cross- multiply )
7YZ = 59.5 ( divide both sides by 7 )
YZ = 8.5
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
13
A. ¥+ 2 = -3(x-6)
© B. y-6--3(x + 2)
© C. y. 2 = -3(x + 6)
D) D. y + 6 = -3(x-2)
Answer:
[tex]\boxed{D. y + 6 = -3(x - 2)}[/tex]
Step-by-step explanation:
Hey there!
Well given point,
(2,-6)
Point slope form is,
y - y1 = m(x - x1)
Plug in the given point
y + 6 = m(x - 2)
Plug in slope
y + 6 = -3(x - 2)
So choice D. y + 6 = -3(x - 2) is correct.
Hope this helps :)
PLEASE HELP WILL MARK BRAINLIEST
Answer:
18 m
Step-by-step explanation:
Answer:
18m
Step-by-step explanation:
In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread
Answer:
The correct option is;
C. Marginal frequency
Step-by-step explanation:
The objective of comparison of two distributions is to check the significant difference from each other
The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves
Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table
The marginal frequency is used to calculate the marginal relative frequency
The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.
Answer:
C. Marginal frequency
Step-by-step explanation:
ANYONE PLEASE HEEEEEEELLLLLLLPPPPPP!!!!! WILL GIVE BRAINLIEST!!!
Question 4(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct simplification of the expression −3x2(5x − 4x2 − 6). −7x4 + 2x3 − 9x2 12x4 − 15x3 + 18x2 12x4 + 15x3 + 18x2 −12x4 + 15x3 − 18x2
Answer:
12x⁴ - 15x³ + 18x²
Step-by-step explanation:
1. distribute -3x²
-3x² • 5x = -15x³
-3x² • -4x² = 12x⁴
-3x² • -6 = 18x²
2. combine terms and put in descending order (standard form)
12x⁴ - 15x³ + 18x²
Answer:
12x⁴ - 15x³ + 18x²
Step-by-step explanation:
1. distribute -3x²
-3x² • 5x = -15x³
-3x² • -4x² = 12x⁴
-3x² • -6 = 18x²
2. combine terms and put in descending order (standard form)
12x⁴ - 15x³ + 18x² correct answer would be this
kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years.
a. write down an expression, interns of x,for how much old is Kofi than kweku.
b. if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Answer:
Kindly check explanation
Step-by-step explanation:
Given the details :
Kofi is older than kweku
kofi's age = (5x-4) years
kweku's age = (2x+1) years
a. write down an expression, interns of x,for how much old is Kofi than kweku
Equate the ages of Kofi and kweku
(5x - 4) = (2x + 1)
5x - 4 = 2x + 1
5x - 2x = 1 + 4
3x = 5
3x - 5
B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Then,
(5x-4) = (2x + 1) + 10
5x - 4 = 2x + 1 + 10
5x - 2x = 1 + 10 + 4
3x = 15
x = 5
Kofi's age : 5x - 4
5(5) - 4 = 25 - 4 = 21 years
Kweku's age : (2x + 1)
2(5) + 1 = 10 + 1 = 11 years
