Answer:
A = x² + 9x + 8
Step-by-step explanation:
Area of Parallelogram Formula: A = bh
We are given b = x + 8 and h = x + 1, so simply plug it in:
A = (x + 8)(x + 1)
A = x² + x + 8x + 8
A = x² + 9x + 8
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▹ Answer
A = x² + 9x + 8
▹ Step-by-Step Explanation
A = bh
A = (x + 8) * (x + 1)
A = x² + 9x + 8
Hope this helps!
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I AM GIVING + 20 POINTS !!!!! PLEASE ANSWER SOON!!!!! Which is NOT a good reason to perform step 1 in the solution shown? equation: 4x = 88 step 1: 4x/4 = 88/4 step 2: x = 22 a. divide by 4, because 4 is a factor of 88. b. dividing 4x by 4 isolates x on one side of the equation. c. dividing is the inverse of multiplying d. dividing both sides by 4 keeps the equation balanced
Answer:
c. dividing is the inverse of multiplying because it doesn't really relate the equation like the others do.
. Jayvon bakes two small circular cakes that are 8 inches across their widest point and 3 inches high. He removes the cake from the pans to frost them. Jayvon would like a consistent quarter-inch deep layer of frosting. How many cubic inches of frosting does he need for the cakes if he wants to frost only the top and sides of each cake
Answer:
20π in³ or 62.832 in³
Step-by-step explanation:
The surface area for each cake is given by:
[tex]S=\pi r^2+2\pi rh[/tex]
Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:
[tex]A=2*(\pi r^2+2\pi rh)\\A=2*(\pi 4^2+2\pi*4*3)\\A=80\pi\ in^2[/tex]
If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:
[tex]V=80\pi *0.25\\V=20\pi\ in^3 = 62.832\ in^3[/tex]
He needs 20π in³ or 62.832 in³ of frosting.
what is the remainder when p(x) is divided by (x-3) please help
Answer:
1
Step-by-step explanation:
We will use polynomial remainder theorem or little Bézout's theorem. It states that reminder p(x) divided by (x - a) is p(a). In our case (a = 3) it is p(3) = 1
Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
If yall can help me for Pre-Calc, that would be great.
-Thanks.
If the equation is
[tex]7\sin^2x-14\sin x+2=-5[/tex]
then rewrite the equation as
[tex]7\sin^2x-14\sin x+7=0[/tex]
Divide boths sides by 7:
[tex]\sin^2x-2\sin x+1=0[/tex]
Since [tex]x^2-2x+1=(x-1)^2[/tex], we can factorize this as
[tex](\sin x-1)^2=0[/tex]
Now solve for x :
[tex]\sin x-1=0[/tex]
[tex]\sin x=1[/tex]
[tex]\implies\boxed{x=\dfrac\pi2+2n\pi}[/tex]
where n is any integer.
If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...
Chloe has a budget of $800 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?
Answer:
$42.10
Step-by-step explanation:
Assuming that she did not yet buy a costume for herself, 800 dollars divided among 18 people plus herself is equal to $42.10 maximum per person.
Answer:
44.44
Step-by-step explanation:
800 didvided by 18.
The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the mean steer weight is 1100lbs. Find the probability that the weight of a randomly selected steer is between 920 and 1730lbs round to four decimal places.
Answer:
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(920≤ x≤1730) = 0.7078
Step-by-step explanation:
Step(i):-
Given mean of the Population = 1100 lbs
Standard deviation of the Population = 300 lbs
Let 'X' be the random variable in Normal distribution
Let x₁ = 920
[tex]Z = \frac{x-mean}{S.D} = \frac{920-1100}{300} = - 0.6[/tex]
Let x₂ = 1730
[tex]Z = \frac{x-mean}{S.D} = \frac{1730-1100}{300} = 2.1[/tex]
Step(ii)
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)
= P(-0.6 ≤Z≤2.1)
= P(Z≤2.1) - P(Z≤-0.6)
= 0.5 + A(2.1) - (0.5 - A(-0.6)
= A(2.1) +A(0.6) (∵A(-0.6) = A(0.6)
= 0.4821 + 0.2257
= 0.7078
Conclusion:-
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(920≤ x≤1730) = 0.7078
Answer:
0.7975
Step-by-step explanation:
The area of this parallelogram is 120 ft2 find the value of h
Answer: 6
Step-by-step explanation:
A=bh plus 120 for A and 20 for B
120=20b
/20 divide by 20 each side
H=6
Solve the one-variable equation using the distributive property and properties of equality.
-6(2 + a) = -48
What is the value of a?
O a = -6
O a = -3
O a = 5
Са= 6
Hey there! :)
Answer:
Last choice. a= 6.
Step-by-step explanation:
Starting with:
-6(2 + a) = -48
Distribute the -6:
-6(2) -6(a) = -48
Simplify:
-12 - 6a = -48
Add 12 to both sides:
-12 + 12 - 6a = -48 + 12
-6a = -36
Divide both sides by -6:
a = 6. Therefore, the last choice is correct.
Answer:
a = 6
Step-by-step explanation:
Solve the one-variable equation using the distributive property and properties of equality.
–6(2 + a) = –48
What is the value of a?
a = –6
a = –3
a = 5
a = 6
Quadrilateral DEFG is rotated 180° about the origin to create quadrilateral D'E'F'G'. In which quadrant does G' lie? A. I B. II C. III D. IV
Answer:
B. II
Step-by-step explanation:
G is in quadrant IV. The quadrant that is across the origin from that is quadrant II.
G' will lie in quadrant II
Answer:
B. 11
Step-by-step explanation:
How does a perpendicular bisector divide a triangle
If possible, find AB. & State the dimension of the result.
Answer:
Step-by-step explanation:
[tex]A=\begin{bmatrix}0 &0 &5 \\ 0 &0 &-3 \\ 0 &0 &3 \end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}8 &-12 &5 \\ 7 &19 &5 \\ 0 &0 &0 \end{bmatrix}[/tex]
A.B = A × B
[tex]A.B=\begin{bmatrix}0 &0 &0 \\ 0 &0 &0 \\ 0 &0 &0 \end{bmatrix}[/tex]
Dimension of the resultant matrix is (3 × 3)
Find (f - g) (4)
f(x) = 4x - 3
g(x) = x^3+2x
a) 59
b) 85
c)-59
d) 285
Add and write the fraction or mixed number in its simplest form: 2/5 + 1/4 + 7/10
Answer:
The LCM of 5, 4, and 10 is 20 so we can rewrite this expression as:
8/20 + 5/20 + 14/20 = (8 + 5 + 14) / 20 = 27 / 20 = [tex]1\frac{7}{20}[/tex]
Adding all the three fractions ,
Simplest form is
[tex]1\frac{7}{20}[/tex]
Given :
[tex]\frac{2}{5}+\frac{1}{4} +\frac{7}{10}[/tex]
Step-by-step explanation:
To add all the fractions , the denominators should be same
Lets find out LCD of 5,4 and 10
[tex]5= 1,5\\4=2,2\\10=5,2\\LCD=5\cdot 2\cdot 2=20[/tex]
Least common denominator = 20
Multiply the first fraction by 4 and second fraction by5 and third fraction by 2 to get same LCD 20
[tex]\frac{2}{5}+\frac{1}{4}+\frac{7}{10}\\\frac{8}{20}+\frac{5}{20}+\frac{14}{20}\\\\\frac{8+5+14}{20}\\\frac{27}{20}[/tex]
We cannot simplify the fraction further . So we write it in mixed form
[tex]1\frac{7}{20}[/tex]
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Find the surface area of this composite solid.
Answer:
C. 120 m²
Step-by-step explanation:
The surface area is equal to the area of 4 rectangles + area of 4 triangles + area of base.
Area of 4 rectangles:
4(5 × 4)
4(20) = 80
Area of 4 triangles:
4(3 × 4 × 1/2)
4(6) = 24
Area of base:
4² = 16
Add the areas.
16 + 24 + 80
= 120
The surface area of the composite solid is 120 m².
The surface area of this composite solid would be, 136 m². Hence, option D is true.
Used the formula for the surface area of the cuboid and the surface area of the 4 triangles,
The surface area of the cuboid = 2 (LW + LH + HW)
And, The surface area of the 4 triangles = 4 (1/2 × Base × Height)
Given that,
In a triangle,
Base = 4 m
Height = 3 m
And, In a Cuboid,
Length = 4 m
Width = 4 m
Height = 5 m
Hence, we get;
The surface area of the 4 triangles = 4 (1/2 × Base × Height)
= 4 (1/2 × 4 × 3)
= 4 × 6
= 24 m²
The surface area of the cuboid = 2 (LW + LH + HW)
= 2 (4 × 4 + 4 × 5 + 5 × 4)
= 2 (16 + 20 + 20)
= 112 m²
Therefore, The surface area of this composite solid would be,
24 m² + 112 m² = 136 m²
So, Option D is true.
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Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Round to the nearest thousandth. __________________ in
Answer:
a = 16.733
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 9^2 = 19^2
a^2 = 19^2 - 9^2
a^2 = 361-81
a^2 =280
Taking the square root of each side
sqrt(a^2) = sqrt(280)
a = 16.73320053
Rounding to the nearest thousandth
a = 16.733
please tell ans of attached photo
Answer:
192 m^2.
Step-by-step explanation:
We can split this up into 3 rectangles:
Area of the bottom rectangle = 27 * (9-3)
= 27 * 6 = 162 m^2.
Area of rectangle on the left = (18-6)*2
= 24 m^2
Area of small rectangle on the right = 3*2
= 6 m^2
Total area = 162+24+6
192 m^2.
There were 35,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold, nine times as many paperback copies as hardback copies were sold. If a total of 448,000 copies of the novel were sold in all, how many paperback copies were sold
Answer:
3,717,000
Step-by-step explanation:
The calculation of paperback copies is shown below:-
Let us assume hardback copies is x, so paperback copies will be 9x
now the equation is
35,000 + x + 9x = 448,000
10x = 448,000 - 35,000
10x = 413,000
[tex]= \frac{413,000}{10}[/tex]
= 41,300
Therefore, the paperback copies are
= [tex]9\times 41,300[/tex]
= 3,717,000
Hence, the paperback copies is 3,717,000
Evaluate geometric series sigma1^20 4(8/9)^n-1
Answer:
32.5861
Step-by-step explanation:
I interpreted it this way:
20 - stop at n = 20 (inclusive)
1 - start at n = 1
4(8/9)^(n - 1) - geometric expression
Using a Graph to Find Positive or Negative Intervals
Answer:
Step-by-step explanation:
The second is correct
f(x) <0 on ( _ infinit, -2.7) and ( -1, 0.8)
Find an equation of the tangent line to the curve at the given point. y = x , (16, 4) Step 1 To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16, 4), we know that (16, 4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula mtan = lim x→a f(x) − f(a) x − a . In this situation, the function is f(x) = and a =
The question is incomplete. The complete question is:
Find an equation of the tangent line to the curve y = [tex]\sqrt{x}[/tex] at the given point (16,4). To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16,4) we know that (16,4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula m tan = lim x↔a f(x) - f(a)/ x - a.
Answer: y = [tex]\frac{x}{8} + 2[/tex]
Step-by-step explanation: The tangent line is a line that intercepts a curve in only one point. The point-slope formula for a line is [tex]y-y_{0} = m(x-x_{0})[/tex], where m is the slope of the line and can be calculated by the first derivative of the given curve. For this case:
y = [tex]\sqrt{x}[/tex]
f'(x) = [tex]\frac{dy}{dx} = \sqrt{x}[/tex]
f'(x) = [tex]\frac{1}{2\sqrt{x} }[/tex]
At point (16,4), the slope will be:
m = f'(16) = [tex]\frac{1}{2.\sqrt{16} }[/tex]
m = [tex]\frac{1}{8}[/tex]
With slope and a point, the line function will be:
[tex]y-y_{0} = m(x-x_{0})[/tex]
y - 4 = [tex]\frac{1}{8}[/tex](x - 16)
y = [tex]\frac{x}{8}[/tex] - 2 + 4
y = [tex]\frac{x}{8}[/tex] + 2
The tangent line to the curve is y = x/8 + 2
Which equation represents the line passing through points A and C on the graph below? On a coordinate plane, point A is at (2, 3), point B is at (negative 2, 1), point C is at (negative 4, negative 3), and point D is at (4, negative 5). y= negative x minus 1 y = negative x + 1 y = x minus 1 y = x + 1
The equation that represents the line that passes through the points A and C is y = x + 1
What is a linear equation?A linear equation is an equation that has a constant rate or slope, and is represented by a straight line
The points are given as:
(x,y) = (2,3) and (-4,-3)
Calculate the slope, m using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{-3 -3}{-4 - 2}[/tex]
Evaluate
m = 1
The equation is then calculated as:
y = m *(x - x1) + y1
So, we have:
y = 1 * (x - 2) + 3
Evaluate
y = x - 2 + 3
This gives
y = x + 1
Hence, the equation that represents the line that passes through the points A and C is y = x + 1
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Answer:
y = x + 1
Step-by-step explanation:
Edge2020
A car is traveling on Michigan Street towards Ward Street. The car planes to turn right into Ward Street. what is the angle measure of the turn.
Pls help ASAP
The half-life of a certain substance is 5.9 days. How many days will it take for 30g of the substance to decay to 12g?
Answer:
7.8 DAYS
Step-by-step explanation:
The time taken for the substance to reach 12g is 7.8 days
The half-life of a substance is the time taken for it to reach half it's initial value.
I will list some formula and concepts which are of importance to this topic but not necessarily this question.
In solving this problem, we may need the formula to calculate half life of a substance which is given as.
[tex]T_\frac{1}{2}= In2/[/tex]λ
where λ = Disintegration constant.
Disintegration ConstantBut to find this constant, we need to use another formula
[tex]N=N_oe^-yt\\\frac{N}{N_o}= e^-yt\\[/tex]
where the values are
N = Mass of sample at time (t)No = Initial mass of sampleλ = Disintegration constantt = time Time TakenHowever,
[tex]n=\frac{Log_e\frac{No}{N} }{Log_e2}[/tex]
Everything remains the same as above but only a slight change now
n = number of half livesSubstituting the values,
[tex]n = \frac{Log_e(\frac{30}{12}) }{log_e2}\\n = 1.32[/tex]
Since n stands for the half life passed within time (t)
The time taken would be
[tex]t = 1.32 * 5.9\\t =7.8[/tex]
The time taken for the substance to reach 12g is 7.8 days.
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Find the sum. A. 4x2 – x – 5 B. 10x2 + 7x – 5 C. –10x2 + 7x + 11 D. 4x2 + x – 11
Answer:
A
Step-by-step explanation:
7x² - 4x - 8 - [ -3x² - 3x - 3]
In subtraction, flip the sign of all terms in the minuend
7x² - 4x - 8
3x² + 3x + 3
4x² - x - 5
pleasssssseeeeeeeeeeeeeeeeeeee
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▹ Answer
0.5 = 1/2 and the rectangle with 3 cubes shaded in
0.6 = 60/100 and circle with three parts shaded in
0.8 = Rectangle with 8 cubes shaded and 4/5
▹ Step-by-Step Explanation
You can convert the fractions into decimals, and count the shaded parts for the shaded images.
Hope this helps!
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c. Find the price of 16 shirts if 5 costs GH¢80
Answer:
16 shirts = GH¢256
Step-by-step explanation:
If 5 shirts cost GH¢80
Let's determine the price of 16 shirts by cross multiplying the values
This method of evaluating answers is one of the essential methods .
It's just Making sure that the values within each side of the wall to symbol crosses each other.
But one shirt = GH¢80/5
one shirt = GH¢16
So
5 shirts= GH¢80
16 shirts = (16 shirts * GH¢80)/5 shirts
16 shirts = GH¢1280/5
16 shirts = GGH256
Will give brainliest answer
Answer:
Radius = 6.5cm
Diameter = 13cm
Step-by-step explanation:
The diameter is given (13)
Radius is half the diameter (13/2=6.5)
Answer:
Radius = 13 / 2 = 6.5 cmDiameter = 13 cmExplanation
RadiusThe straight line is drawn from the centre of a circle to a point on its circumference is called radius of the circle. The radius of a circle is half of its diameter.
DiameterThe chord that passes through the centre of a circle is called diameter of circle. Diameter is also called the largest chord of any circle. The length of diameter of a circle is two times it's radius.
Hope this helps...
Good luck on your assignment...
Factor completely
7a^2+53a+28
Hello! :)
____________ ☆ ☆____________________
Answer:
(7a+4)⋅(a+7)
Step-by-step explanation:
First you have to multiply... 7x28=196
Now find the factors of 196
Factor: 53
Add the first two terms
Add up the four terms and you get your answer
ANSWER: (7a + 4) • (a + 7)
_____________ ☆ ☆___________________
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graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=-x-6
Answer:
hope u get it.......!!