The product of -7p³ and the trinomial (4p² + 3p - 1) is obtained by multiplying -7p³ by each term of the trinomial and combining like terms, resulting in -28p⁵ - 21p⁴ + 7p³.
The question involves multiplying a monomial by a trinomial in algebra, which is a process of using the distributive property. To multiply -7p³ by (4p² + 3p - 1), you distribute -7p³ across each term in the trinomial:
-7p³ x 4p² = -28p⁵-7p³ x 3p = -21p⁴-7p³ x (-1) = 7p³Combine the results to get the final product:
-28p⁵ - 21p⁴ + 7p³
Write the coordinate of the point in the diagram.
Answer:
(2, 2, 1)
Step-by-step explanation:
You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)
What is the equation of a line that passes through the points (-3, 4) and (2, 8)?
Answer:
y= 4/5x +2/5
Step-by-step explanation:
When finding slope, use the format y-y1/x-x1. Plug in your coordinates to get this: 8-4/2--3. 8-4 equals 4, and 2--3 equals 5. So, your slope would be 4/5. Next, make your equation like this: y=4/5x+b. Next, plug in one of your ordered pairs into the equation. It doesn't matter which one you use. I'm going to use the second pair, so it would look like this: 8=4/5(2)+b. Multiply 4/5 by 2 to get 8/5. This is what you should have: 2=8/5+b. Subtract 8/5 from both sides to get your y-intercept of 2/5. Go back to your original equation and plug in 2/5 to b. This is your final equation: y= 4/5x +2/5. Hope this helped!
-3(n-6)-9 i need to simplify the expression.
In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
Answer: its = to 6 cuz AB/AC = BC/AE and BC is 6 so give brainless psl
Step-by-step explanation:
ez ezz
The value of x in the right-angle triangle is 2√3.
What is a right-angle triangle?A triangle is also known as a right-angled triangle if one of its three angles is 90 degrees. A right-angled triangle's three interior angles all add-up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.
In the given figure,
BC = 6cm
DC = 6/2 = 3cm
By formula of angle on a straight line,
∠EDB = 180° - (90°+60°)
= 180° - 150°
= 30°.
From right-angled triangle ADC,
AD² = 5² -3² (As per Pythagoras theorem)
= 25 - 9
= 16.
So, AD = √16
= 4cm.
From ∠AEC. let AS = x.
w/Sin60° = 4/Sin90°
We know,
Sin90° = 1
Sin60° = √3/2
⇒ x = (4 × Sin60°)/Sin90°
⇒ x = 4 × √3/2
⇒ x = 2√3
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The complete question is:
In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
Order the numbers from least to greatest 10.5, 10.06, 10.64, 10.46
Answer:
10.06, 10.46, 10.5, 10.64
Step-by-step explanation
how many 9s are in 54??
Answer:
Whats 's' mean?
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
9s=54
divdie 9 by 54 to get the s alone. 54/9 is 6. t
g + 3f+ f +g +g Write an equivalent expression that uses each variable only once.
Answer:
The answer would be 4f + 3g. I hope this helps!!!
Answer:
3G+4F
Step-by-step explanation:
just add the number of variables only with themself, so for example there are 3 G's, you would add them together and put 3G
The points (–1,–1) and (a,–5) fall on a line with a slope of 4. What is the value of a?
a=
Answer:
The value of a is -2
Step-by-step explanation:
We are asked to give the value of a
We are provided with some information
We are given slope to be 4
And two points ( -1 ,-1) and
( a, -5)
Given the formula for slope
m = y_2 - y_1 / x_2 - x_1
Points ( -1 , -1)
(a, -5)
x_1 = -1
y_1 = -1
x_2 = a
y_2 = -5
Inserting the values given into
m = y_2 - y_1 / x_2 - x_1
= -5 - (-1) / a - (-1)
= -5 + 1 / a + 1
= -4 / a + 1
We are given the slope to be 4
i. e. m = 4
4 = -4 / a + 1
Cross multiply
4( a + 1) = -4
Open the bracket with 4
4a + 4 = -4
Collect like terms
4a = -4 - 4
4a = - 8
Divide both sides by 4 to get the value of a
4a / 4 = -8/4
a = -2
Therefore, x_2 = -2
the value of a = -2
What is the answer to $2.48 for 10 slices of cheese
Answer:
2.48 / 10 = 0.248
About $0.25 for each slice of cheese.
Answer:
.248 or .25
Step-by-step explanation:
What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths place
Answer:
volume = 150.9m³
Step-by-step explanation:
in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h
v = πr²h
given that
height = 3meters
radius = 4meters
volume=?
going by the formulae v= πr²h
v = π × (4)² × 3
v = π × 16 ×3
v= 48πm³
note the value of π = 22/7
v = 48 × 22/7
v = 1056/7
v= 150.87m³
therefore the volume of the cylinder to the nearest tenth place is 150.9m³
What is 89 divided by 3 in decimal form
Answer:
29.67
Step-by-step explanation:
[tex]89 \div 3 \\ \implies 29.6666666 \\ \implies \boxed{ \bf 29.67}[/tex]
_______________________
Thanks for the question!
When rounded to two decimal places, 89 divided by 3 is approximately 29.67.
To calculate 89 divided by 3 in decimal form, we perform the division operation:
89 ÷ 3 ≈ 29.666666...
The division result is a repeating decimal with the digit 6 repeating infinitely. However, since you asked for the answer in decimal form, rounded to a certain number of decimal places, we can round the result to a reasonable precision.
Let's round it to two decimal places:
89 ÷ 3 ≈ 29.67
So, when rounded to two decimal places, 89 divided by 3 is approximately 29.67.
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A = 3 b = 4 c=4
1) 3a + 5=
2)4b - 7=
3)6a - 1 =
4) bc -a=
Answer:
1.) 3(3) + 5 = 9 + 5 = 14
2.) 4(4) - 7 = 16 - 7 = 9
3.) 6(3) - 1 = 18 - 1 = 17
4.) (4)(4) - (3) = 16 - 3 = 13
QUICKLY!! Jonahs grandmother gave him 125 for his birthday. He used 14% of the money to buy music on iTunes and 65% to purchase a new hockey stick. How much more did he spend on the jock stick than on music?
Answer:
It's 63.75 since I looked it up.
Which of the following tables represents a function?
Answer:
Table D represents the function.
Step-by-step explanation:
Because for every value of x, there is an unique value of y.
Answer:
D
Step-by-step explanation:
the answer is d because the x doesn't repeat itself and for a -7 repeats it self, for b -8 repeats and for c -6 has 2 times. That's why those 3 can not be answer.
What does x equal in 3(x-2)=-3
Answer:
Step-by-step explanation:
3(x-2)= -3
Divide both sides by 3
x-2 = -1
add 2 to both sides
x - 2 +2 = -1 + 2
x = 1
Answer: x = 1
Step-by-step explanation:
3(x-2) = -3
3x -6 = -3
+6 +6
3x = 3
----------
3 3
x = 1
What is the equation of the circle with center (11, 6) that passes through the point (17, 12)?
well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72[/tex]
Final answer:
The equation of the circle with center (11, 6) that passes through the point (17, 12) is (x - 11)² + (y - 6)² = 72.
Explanation:
To find the equation of the circle with center (11, 6) that passes through the point (17, 12), we first determine the radius of the circle. The radius can be found by calculating the distance between the two points using the distance formula: √[(x2-x1)² + (y2-y1)²]. Plugging in the coordinates, we get √[(17-11)² + (12-6)²] = √[6² + 6²] = √[36 + 36] = √72. The squared radius (r²) is therefore 72.
The general form for the equation of a circle is: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. Substituting the center (11, 6) and the squared radius 72 into this equation, we get: (x - 11)² + (y - 6)² = 72, which is the desired equation of the circle.
The cost of 3 gallons of milk is $6.75. What is the cost of 7 gallons of milk?
Answer:
1. The cost of 7 gallons of milk is $15.75
2. 5 cups served and 40 ounces drank
Step-by-step explanation:
Answer:
$15.75
Step-by-step explanation:
Let the cost of 7 gallons of milk be x
Since
3 gallons of milk = $6.75
7 gallons of milk = x
Cross multiply
7 x 6.75 = 3 x X
47.25 = 3x
Divide both sides by 3
47.25/3 = 3x/3
15.75 = x
x = $15.75
7 gallons of milk cost $15.75
Complete the table. Original Price Percent of Discount Sale Price $42 15% $
Answer:
35.70
Step-by-step explanation:
42. x 15%=6.30
42-6.30 is 35.70
or you can multiply 42 x 85=35.70
Answer:
$35.70
Step-by-step explanation:
$35.70
A line that includes the points (10,g) and (9,4) has a slope of 2. What is the value of g?
g=
Answer:
g = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)
m = [tex]\frac{4-g}{9-10}[/tex] = [tex]\frac{4-g}{-1}[/tex] = 2 ( multiply both sides by - 1 )
4 - g = - 2 ( subtract 4 from both sides )
- g = - 6 ( multiply both sides by - 1 )
g = 6
pens cost x pence and pencils cost y pence. Write a formula for the total cost (T) of 7 pens and 11 pencils
Answer:
erhaerah
Step-by-step explanation:
hearherharehr
If JK = 7 and JL = 12, what is JM?
Without additional context or details about how JK, JL, and JM are related, it's impossible to accurately calculate or deduce the value of JM. Further clarification or more information about the scenario or the mathematical or geometric principles involved is needed for a precise answer.
Explanation:The question provided does not seem to present enough context or connection to standard mathematical operations or geometric principles that would enable a straightforward calculation or deduction of the value of JM. Without additional information about the relationship between JK, JL, and JM (such as whether they are sides of a triangle, or represent values in a given mathematical formula), or without a clear mathematical or geometric context, it's impossible to accurately determine the value of JM.
Generally, in mathematics, when calculating distances or values based on given lengths, one needs to apply specific formulas or theorems (such as the Pythagorean theorem in the context of right-angled triangles, or vector addition in the context of physics problems). Unfortunately, the given data lacks the necessary context to apply such principles.
For a precise and accurate answer, I recommend clarifying the problem's context or providing more details about the scenario in which JK, JL, and JM are related.
-Final answer:
To find JM in a triangle with known side lengths JK = 7 and JL = 12, we use the Triangle Inequality Theorem to determine that JM must be less than 19.
Explanation:
To find JM, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).
JK + JL > JM
7 + 12 > JM
19 > JM
Therefore, JM must be less than 19 but more than the absolute difference of JK and JL, so JM < 19.
12. Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite season?
i believe the answer is 205
hope this helps
The most reasonable prediction of the number of seventh-grade students in Judith's school who would choose pop music as their favorite genre is 205.
To find the prediction, we first need to determine the total number of seventh-grade students in Judith's school. Since 41 students represent 20% of the total, we can set up a proportion to find the total number of students. Let [tex]\( T \)[/tex] represent the total number of students.
[tex]\[ 20\% \times T = 41 \][/tex]
[tex]\[ 0.20 \times T = 41 \][/tex]
To find [tex]\( T \)[/tex], we divide both sides of the equation by 0.20:
[tex]\[ T = \frac{41}{0.20} \][/tex]
[tex]\[ T = 205 \][/tex]
Now that we have the total number of students, we can predict the number of students who would choose pop music as their favorite genre. Since 41 students represent 20% who chose pop music, the remaining 80% of the students would also be expected to choose pop music if the sample is representative of the entire population. Therefore, we multiply the total number of students by 100% to find the prediction:
[tex]\[ \text{Prediction} = T \times 100\% \][/tex]
[tex]\[ \text{Prediction} = 205 \times 1 \][/tex]
[tex]\[ \text{Prediction} = 205 \][/tex]
Thus, the most reasonable prediction is that 205 seventh-grade students in Judith's school would choose pop music as their favorite genre.
50 points and brainleist
A value of 500 increases by 12%. -Which equation could be used to find the new value? A) y=500+(0.12)
B) y=500(1.12)
C) y=500+(0.12)
D) y=500-(0.12) - What is the new value? Answer:Equation_______could be used to find the new value. The new value is______.
Solution:
Given that,
A value of 500 increases by 12%
To find: equation could be used to find the new value
Therefore,
Initial value = 500
Increase rate = 12 %
Let "y" be the new value
Thus the equation is:
new value = Initial value + 12 % of Initial value
[tex]y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)[/tex]
Thus the equation is found. Option B is correct
Solve it
[tex]y = 500 \times 1.12\\\\y = 560[/tex]
Thus the new value is 560
Answer:
Hat he said
Step-by-step explanation:
Determine the solution for x^2+36>12x
Answer:
x^2+36 or x2 + 36 = 0
Step-by-step explanation:
Answer:
x> 6 twice
Step-by-step explanation:
x^2+36>12x
x² + 36 > 12x
Collect like terms
x² - 12x + 36 > 0
Solve quadratically using factorisation method by finding two factors of 36 that when added gives -12, the coefficient of x.
Factors = -6 and -6 which both add up to -12
Rewrite equation
x² - 6x - 6x +36> 0
Factorise by taking out the common factor
x ( x - 6) -6( x - 6) > 0
(x -6)(x - 6) > 0
x - 6 > 0 or x -6 > 0
Add 6 to both sides
x -6+6> 0+6 or x-6+6>0+6
x > 6 or x> 6
x> 6 twice
I hope this was helpful, please rate as brainliest
Find the area of the ring-the shaded region
The area of the (ring) - the shaded region is 75.36 in²
Solution:
The value of π = 3.14
Radius of the inner circle = 5 in
Area of the inner circle = πr²
= π × 5²
Area of the inner circle = 25π
Radius of the outer circle = (5 + 2) = 7 in
Area of the outer circle = πr²
= π × 7²
Area of the outer circle = 49π
Area of the shaded ring = Area of the outer circle – Area of the inner circle
= 49π – 25π
= 24π
= 24 × 3.14
= 75.36 in²
The area of the (ring) - the shaded region is 75.36 in².
the quotient and the divisor are the same number. the sum is 8. write the related facts
Answer:
Starting from the definitions of each concept, we have to:
Divider = number you are dividing
Quotient = result of division
Therefore, for them to be the same number is half of the sum they tell us, which means that 8/2 = 4, then the quotient is 4 and the divisor is 4 too, and the dividend 4 * 4 = 16
The division would be:
16/4 = 4
Thus fulfilling the premise of the problem.
The diameter is { ? }
cm.
r = 5.4 cm
The circumference in terms of pi { ? } is
cm.
Using 3.14 for pi , the approximate circumference of the
circle is { ? } cm. Find the answers for the “?”’s .
The diameter of the circle is 10.8 cm
The circumference of the circle is 33.9 cm
Explanation:
Given that the radius of the circle is 5.4 cm
Diameter:
The diameter of the circle can be determined using the formula,
[tex]d=2r[/tex]
where r = 5.4
Thus, we have,
[tex]d=2(5.4)=10.8[/tex]
Thus, the diameter of the circle is 10.8 cm
Circumference:
The circumference of the circle can be determined using the formula,
[tex]C=2\pi r[/tex]
Substituting [tex]\pi=3.14[/tex] and [tex]r=5.4[/tex], we have,
[tex]C=2(3.14)(5.4)[/tex]
[tex]C=33.9[/tex]
Thus, the circumference of the circle is 33.9 cm
Plz help in ASAP I need it I will give you BRAINLEIST whatevrr it is called
Answer:
1.)x≤9
2.)x≥0.5
Step-by-step explanation:
1.)x+6≤15
x+6-6≤15-6
x≤9
2.)x+1.5≥2
x+1.5-1.5≥2-1.5
x≥0.5
State the slope and the y-intercept of this equation: y = -4x - 9
Answer:
slope = - 4, y- intercept = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x - 9 ← is in slope- intercept form
with slope m = - 4 and y- intercept c = - 9
the actual length of a rectangular platform used for assembeling robots is 6 feet. in amal's drawing, the platform measures 1.2 inches in legnth and 1 inch in width. what is the actual width of the platform? write a proportion to justify your answer.
Answer:
Actual width = 5 feet.
Step-by-step explanation:
The ratio of 1.2 to 1 equals the ratio of length to width.
1.2 / 1 = 6 / w where w is the actual width.
1.2w = 6
w = 6/1.2
w = 5.