Answer: -2a+18
Step-by-step explanation:
[tex]-4a+2(a+9)\\\\Distribute\\\\-4a+2a+18\\\\Combine\\like\\terms\\\\-2a+18[/tex]
Hope it helps <3
Answer:
-2a + 18
Step-by-step explanation:
-4a + 2(a+9)
Distribute:
2 * a = 2a
2 * 9 = 18
-4a + 2a + 18
Combine Like Terms:
-2a + 18
Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period of 10 years.
Answer: $641.51
Step-by-step explanation:
A = p (1+ r/n)^nt
A = 500 (1 + 0.025/4)^4*10
A = 641.51
The amount in an account where $500 in invested at 2.5% is $641.51.
Using this formula
A = p (1+ r/n)^nt
Where:
A=Amount
P= Principal=$500
R=Rate=2.5% or 0.025
n=4 (Quarterly)
T=Time=10 years
Let pug in the formula
A = $500(1 + 0.025/4)^4×10
A=$500(1.28302)
A =$641.51
Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.
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If a rectangle has length p and width p - 4, what is the perimeter of the rectangle in terms of p?
12p - 8
2p - 4
4p - 8
4p - 4
Answer:
4p - 8.
Step-by-step explanation:
Perimeter = 2* length + 2 * width
= 2p + 2(p - 4)
= 4p - 8.
There are only red,blue and green counters in a bag. There are 6 red counters,4 blue counters and 8 green counters. Matt takes a counter from the bag at random a) What is the probability that the counter is red.Give your answer in a fraction. b) What is the probability that the counter is not blue.Give the answer as a fraction. pls help.
Answer:
a) 1/3
b) 7/9
Step-by-step explanation:
The first part asks for the probability that Matt takes the red counter.
There are 6 red counters out of total 6+4+8 = 18 counters.
6/18
Simplify the fraction.
= 1/3
The second part asks for the probability that the counter is not blue.
The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.
14/18
= 7/9
Answer:
Total outcome = 6 + 4 + 8 = 18
a) Probablity that the counter is red = 6/18 = 1/3
b) Probablity that the counter is blue = 14/18 = 7/9
At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change?
Answer:
(-1)(7+7+7)
Step-by-step explanation:
I got it right on the test
What is the name of the geometric term that is described by three points that are not on the same line and has a flat surface that extends without end in all directions? A. point B. ray C. line D. plane
Answer:
D. plane
Step-by-step explanation:
A. is incorrect because three points don't make a point.
B. is incorrect because all points in a ray are colinear.
C. is incorrect because the three points are not colinear.
D. is correct because, for a given three different points, there is a plane that contains them.
Answer:
D
Step-by-step explanation:
Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Round to the nearest hundredth.
Rectangle topped by a semicircle
a.
45.12 sq. in.
b.
21.57 sq. in
c.
32.56 sq. in.
d.
26.28 sq. in.
Answer:
area of figure= area of rectangle+area of semi-circle
area of rectangle= length ×width
5×4
= 20in²
area of semi circle= 1/2πr²
1/2×22/7×2×2
22×2
7
44
7
= 6.29in²
area of figure= 20+6.29
= 26.29in²
The area of the figure is the combined area of the rectangle and the two semicircles which are 26.29in².
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of figure= area of rectangle + area of the semi-circle
The area of rectangle = length ×width
= 5 × 4
= 20in²
The area of semi circle = 1/2πr²
= 1/2×22/7×2×2
= 6.29in²
The area of figure= area of rectangle + area of the semi-circle
= 20 + 6.29
= 26.29in²
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Factorise
(a + c)2- 62
AWARDING BRANLIEST FOR FIRST CORRECT ANSWER
Question is in photo please help and not spam random stuff
Answer:
I think the answer is
x=(z(m-cw))/wy
Step-by-step explanation:
Try to distribute and multiply the values and get the x alone on one side
Answer:
x=(z(m-cw))wy
Step-by-step explanation:You distribute and multiply to get the x on one side.
Which is the correct way to show that (2, 3) is a solution to the following system of
inequalities?
y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE
2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE
3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE
Answer:
Option 1.
Step-by-step explanation:
Note: In second inequality "<x" is missing after 5.
Consider the given inequalities are
[tex]y-x>-4[/tex]
[tex]2y-5<x[/tex]
If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).
Substitute x=2 and y=3 in the above inequalities and that should be true.
[tex]3-2>-4\Rightarrow 1>-4[/tex] True
[tex]2(3)-5<2\Rightarrow 1<2[/tex] True
Therefore, the correct option is 1.
A hot air balloon holds 74,000 m3 of helium. The density of helium is 0.1785 kg/m3. What’s the mass of the helium inside the balloon when it’s full? ANSWERS: 6,529 kg 414,565 kg 740 kg 13,209 kg
The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?
Answer:
The value of a + 2z/ 2 in terms of a is (3a+4)/2
Step-by-step explanation:
least of 3 consecutive integers is a, and the greatest is z
if a is the least one
we know that integers differ by value of 1.
example -2, -1, 0, 1,2
they all differ by
then next consecutive integer will be a+1
third integer will be second integer +1 = a+1 + 1 = a+2
Thus, 3 consecutive integer
a , a+1, a+2
but given that greatest is z
thus, a+2 is greatest and hence
a+2 = z
we have to find value of a + 2z/ 2 in terms of a
a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.
The value of a + 2z/ 2 in terms of a is (3a+4)/2
What is the form of the Sum of Cubes identity?
Answer:
D. a³+b³=(a+b)(a²-ab+b²)
Explanation:
That is the form of the Sum of Cubes identity
You are miguel Cervantes de Navas y colon, captain in the royal spanish army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illusion. On an idle afternoon you dicide to calculate the number of cannonballs in the stack. What is the number of cannonballs? A. 650 B. 506 C. 623 D. 571
Answer: 650
Step-by-step explanation:
Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use the right endpoint of each rectangle to determine the height.
Split up the interval [0, 8] into 4 equally spaced subintervals:
[0, 2], [2, 4], [4, 6], [6, 8]
Take the right endpoints, which form the arithmetic sequence
[tex]r_i=2+\dfrac{8-0}4(i-1)=2i[/tex]
where 1 ≤ i ≤ 4.
Find the values of the function at these endpoints:
[tex]f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i[/tex]
The area is given approximately by the Riemann sum,
[tex]\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i[/tex]
where [tex]\Delta x_i=\frac{8-0}4=2[/tex]; so the area is approximately
[tex]\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}[/tex]
where we use the formulas,
[tex]\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2[/tex]
[tex]\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6[/tex]
Answer:
320 square units
Step-by-step explanation:
The triangles ABC and XYZ are similar. Find the measure of X.
Answer:
37 degrees.
Step-by-step explanation:
No matter how much smaller or bigger the shape is, it is still similar to the other shape, meaning they will have different angle measurements, but the degrees will remain the same.
Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The triangles ABC and XYZ are similar.
Side AB is proportional to side XY
Side AC is proportional to side XZ
Since we know side AB and side XY are proportional to each other, sp there angles must be similar.
Angle A = Angle X
We know that in triangle ABC
Angle A + Angle B + Angle C = 180
Angle A + 90 + 37 = 180
Angle A = 53 degrees
Thus, Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.
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The average body temperature of a lemming is 98.6 degrees Fahrenheit. The
temperature is considered abnormal if it is more than 1.5 degrees above or below that.
Write the absolute value inequality that represents this.
Answer:
|x-98.6|>1.5
Step-by-step explanation:
What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2? PLS ANSWER. I WILL MAKE BRIANLEST
Answer:
Step-by-step explanation:
To solve this we should use the Euclidean division :
Our polynomial function is 16-2x³-6x²+x+9=-2x³-6x²+x+9 we should divided by : 4+3x-2=3x+2 and see the restHere is a picture with the operation
the rest is 47/9 so the number I SHOULD SUBSTACT IS 47/9Suppose you rotate a rectangle about an axis parallel to its long edge, but not touching any part of the rectangle. What best describes the solid formed? ANSWERS: A cylinder with an opening down the middle, like a roll of paper towels A cylinder, the empty space is filled in by rotation. A cuboid with an open space in the middle, like a box without a bottom This isn't possible.
Answer:
A cylinder with an opening down the middle, like a roll of paper towels
Step-by-step explanation:
Since the axis of rotation does not touch the cylinder, you end up with a hollow cylinder similar to a pipe.
Answer: A cylinder with an opening down the middle, like a roll of paper towels
In order to solve for the variable in the equation 1-(x+2)+ 2X= 5(2x-5)- Mikel first applies the distributive property.
Which equation is a result of this step?
O 1 - X+2+2x– 10x-5-X
O 1-x-2+2x– 10x-25-
O 1- x-1+2x = 10x-25- X
O 1-X-1+ 2x - 10x-5-X
Nex
Submit
Save and Exit
Mark this and retum
if m∠ABD=39 and m∠DBC=22 what is m∠ABC
PLEASE HELP!!!!
Answer:
∠ABC = 61°
Step-by-step explanation:
Given:
∠ABD = 39°
∠DBC = 22°
Find:
∠ABC = ?
Computation:
We now that,
∠ABC = ∠ABD + ∠DBC
∠ABC = 39° + 22°
∠ABC = 61°
Therefore, ∠ABC is 61°
7. If the length of the side of a table is 3 more than twice its width, what is the expression
of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work
Answer:
Step-by-step explanation:
Width =w
Length = 2w + 3
Perimeter = 2*(length +width)
= 2*(2w +3 + w )
= 2*(3w + 3)
= 6w + 6
b) Perimeter = 30 units
6w + 6 = 30
Subtract 6 form both sides
6w = 30- 6
6w = 24
Divide both sides by 6
6w/6 = 24/6
w = 4
l = 2w + 3
= 2*4 + 3
= 8 + 3
= 11
Length = 11 units
Width = 4 units
GIVING BRAINLIEST what is 97 - 56 + 12
Answer:
53
Step-by-step explanation:
When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
53
Step-by-step explanation:
97-56=41
41+12=53
PLEASE HELP For a particular transformer, the voltage E in the circuits is related to the number of windings W of wire around the core by the equation E=40W. How many windings will produce a voltage of 760 V? A voltage of 760 V will be produced by ? windings.
Answer:
A voltage of 760V will be produced by 19 windings.
Step-by-step explanation:
Given the equation:
E = 40W
Where E is the Voltage in the circuits
and W is the number of windings
Given that E = 760V
To find: W = ?
Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.
So, Putting the value of E in the given formula and finding W, the number of windings:
[tex]760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19[/tex]
So, number of windings for a voltage E = 760V is 19.
A voltage of 760V will be produced by 19 windings.
Over what interval is the function in this graph decreasing?
A. -10 sxs-4
O B. 2 sxs6
O C. 6 sxs 10
O D. -4sxs 2
Answer:
The answer is D.
Step-by-step explanation:
01 = --
On =an 1+1
2
What is ?
Answer:
2
Step-by-step explanation:
01=1
and.1+1=2 that is sum of 1 &1
Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 4 to 2. Tia wants to sell a total of 54 apples and oranges. How many apples should she sell?
Answer:
36 apples and 18 oranges
Step-by-step explanation:
4x+2x=54
6x=54
x=54/6
x=9
Apples=4x=36
Oranges=2x=18
To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?
Answer:
the second one, [144,174]
Step-by-step explanation:
since the suits weigh 1 pound, it means the body builders have to weigh one pound less than they normally would to make up for that one pound. therefore, the range is 144 (one less than 145) to 174 (one less than 175)
hope this helps! comment if any part doesn't make sense so I can clarify ;-3
Consider the following expression 4x+5y+9+3y
Select all the true statements below:
1) 5y and 3y are like terms
2) 4x is a factor
3) 9 is a constant
4) 4x is a coefficient
5) None of these are true
True statements: 1, 2, 3
What type of data distribution is shown on the graph?
Answer:
B. C. C.
Step-by-step explanation:
symmetric
equal to the median
positively skewed
The type of data distribution which is shown on the graph of coin toss where, x is the number of heads is symmetric and discrete.
What is data distribution?
The data distribution is a way to represent the values of set of data or information. The distribution of data is generally represented in a particular order.
In the given graph, the data distribution is shown for the coin toss. The probability P(X) is shown on the y-axis of the graph, and the number of heads is shown on the x-axis.
There are two types of data distribution shown on the graph.
Symmetric-The data distribution shown on the graph is symmetric over x = 1. Discrete-The data distribution shown on the graph is discrete because the values of X are distinct.Hence, the type of data distribution which is shown on the graph of coin toss where, x is the number of heads is symmetric and discrete.
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(6,-6);slope=5/6 write the equation of the line
Answer:y=5/6x + -7
Step-by-step explanation:
