Answer:
Fortunately, Excel can organize data into groups
Step-by-step explanation:
allowing you to easily show and hide different sections of your worksheet.
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle
Answer:
30° each
Step-by-step explanation:
Complementary angles are those that add up to 90° so if they are all equal then it's
90/3=30°
Answer: 30° each
Complementary angles are those that add up to 90° just to remind you!!
A savings account pays 4 1/2% interest. How much interest
will be earned on $450 in 3 years? How much money will
be in the account in 3 years?
i already know the answer i just need help solving it help!!!
Answer: Amount in account after 3 years $513.52
Interest accrued in 3 years is $63.52
Step-by-step explanation:
450 x 4.5% = 20.25
Add to balance 20.25 + 450 = 470.25
470.25 x 4.5% = 21.16
Add to balance 21.16+470.25=491.41
491.41 x 4.5% = 22.11
Add to balance 22.11 + 491.41 = 513.52
1/2log25-2log3+log8
Answer:
log base 10 of 40/9, log(40/9), or 0.6478
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.
Use triangle ABC to write the value of sin B as a ratio. Use triangle ABC to write the value of sin B as a ratio.
Answer:
[tex] \sin(b) = \frac{12}{13} [/tex]
What is the solution set of the equation |2x+3|=7 in the set of rational numbers?
A, {4,-10}
B, {5,-2}
C. {4,5}
D. {-5,2}
Answer:
d
Step-by-step explanation:
-10=-5*2; 4=2*2
l-10+3l= 7; l4+3l=7
==================================================
Work Shown:
|2x+3| = 7 means either 2x+3 = 7 or 2x+3 = -7
Solve each for x
2x+3 = 7
2x = 7-3
2x = 4
x = 4/2
x = 2 is one solution
Repeat for the other equation
2x+3 = -7
2x = -7-3
2x = -10
x = -10/2
x = -5 is the other solution
------
Each solution can be checked by plugging it back into the original equation and simplifying. You should get the same number on both sides
For instance, checking x = -5 leads to
|2x+3| = 7
|2(-5)+3| = 7
|-10+3| = 7
|-7| = 7
7 = 7
Which confirms x = -5. I'll let you check x = 2.
type the correct answer in the box. The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below. Write the formula to calculate the height, h.
Answer:
You have to make h the subject using volume of cone formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]3v = \pi {r}^{2} \times h[/tex]
[tex] \frac{3v}{\pi {r}^{2} } = h[/tex]
[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]
i hate maths!!!!!!!!!!!!!!!! Please help me!!!!!!!!!!!!!!!!!! brainliest will be given
Answer:
840 cm³
Step-by-step explanation:
Cut the prism into two cuboids.
The first cuboid has dimensions of 4 cm × 6 cm × 5 cm
The height is 4 cm, the width is 5 cm and the length is 6 cm.
The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.
The height is 8 cm, the width is 6 cm and the length is 15 cm.
The formula for the volume of the cuboid is l×w×h.
Length × Width × Height
The first cuboid has a volume of:
4 cm × 6 cm × 5 cm
= 120 cm³
The second cuboid has a volume of:
15 cm × 6 cm × 8 cm
= 720 cm³
Add the volumes of the two cuboids.
720 cm³ + 120 cm³
= 840 cm³
The volume of the prism is 840 cm³.
Answer:
V = 840 cm³
Step-by-step explanation:
Let's Divide this prism into two rectangular Prisms
Prism 1:
Volume = [tex]Length * Width * Height[/tex]
V = 15 * 8 * 6
V = 720 cm³
Prism 2:
Volume = [tex]Length * Width * Height[/tex]
V = 4 * 5 * 6
V = 120 cm²
Whole Prism
V = 720+120 = 840 cm³
Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______
Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]
Step-by-step explanation:
(f·g)(x) also means f(g(x)).
So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.
[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]
Now distribute the 5.
[tex]f(g(x))=25x^{2}+20x+2[/tex]
This is as simplified the equation gets as it is not factor-able.
A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answer:
V = πr^2h
V = 40π m^3
Step-by-step explanation:
volume of a cylinder
V = Bh,
where B = area of the base
When the base is a circle, then the area of the base is
B = πr^2
Then the volume of the cylinder is
V = πr^2h
You are given the radius is 2 m, and the height is 10 m, so you have
r = 2 m, and h = 10 m
V = π(2 m)^2(10 m)
V = π(4)(10) m^3
V = 40π m^3
Answer:
40
Step-by-step explanation:
just got it right
Solve (x-4)^2=5 (Full question shown in the image below)
Answer:
Answer is option a) x = 4 ±√5
Step-by-step explanation:
[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
plz need help asap!!!!!!
Answer:
-∞ < x<∞
Step-by-step explanation:
The domain is the input values or in this case the x values
Assuming that the graph goes to the left of the -2 line
We can have all values of x
Find the area of a rectangle with the following dimensions
Length=×+3
Width=4
Answer:
4x+12
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = (x+3) *4
Distribute
A = 4x+12
please explain while solving
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
A banker has $1000 to invest. She deposits part of it in a stock paying 4%, and the rest in bonds that offer 5% return. If the total interest earned in one year was $440, how much was invested at each rate?
Answer:
Step-by-step explanation:
Given that:
4x + 5x = $440
9x = $440
x = $49 (Approx.)
So, she received :
from the stock = 4 x 49 = $196
from the bond = 5 x 49 = $245
SO, now, how much did she invest ?
Answer:
Step-by-step explanation:
Let x represent the amount invested at 4% and y the amount at 5%. Then x + y = 1000.
Then:
0.04(1000 - x) + 0.05x) = 440 (total interest)
Then:
40 - 0.04x + 0.05x = 440, or
0.01x = 400, or
x = 40000 (not possible, because the principal is only $1000.
Something's wrong here. Double check to ensure that you've copied the problem down correctly.
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
Answer:
y = 14
Step-by-step explanation:
y ∝ [tex]\frac{1}{x}[/tex]
=> y = [tex]\frac{k}{x}[/tex] -------------(1)
Where k is the constant of proportionality
Now,
x = 7, y = 4
Putting in (1)
4 = [tex]\frac{k}{7}[/tex]
So,
=> k = 28
Now y = ? when x = 2
Putting x and k in (i)
y = [tex]\frac{28}{2}[/tex]
y = 14
Answer:
[tex]y=14[/tex]
Step-by-step explanation:
[tex]y \propto 1/x[/tex]
[tex]y=k/x[/tex]
[tex]4=k/7[/tex]
[tex]4 \times 7 = k[/tex]
[tex]28=k[/tex]
[tex]y=28/x[/tex]
[tex]y=28/(2)[/tex]
[tex]y=14[/tex]
help me fast please ASAP
Answer:
6 sticks for the pattern of number 6
3 sticks for the pattern of number n
Step-by-step explanation:
Please check the attached picture.
This is a standard way to create number 6 and number n from sticks.
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
(a)
Record the number of sticks and look for a pattern
1 → 6 sticks
2 → 10 sticks
3 → 14 sticks
There is a difference of + 4 between each pattern, thus add 4 to the previous pattern , that is
4 → 14 + 4 = 18
5 → 18 + 4 = 22
6 → 22 + 4 = 26
That is there are 26 sticks in pattern number 6
---------------------------------------------------------------------------
(b)
Multiplying the pattern number (n) by the difference 4 gives
4 × 1 = 4 ← require to + 2 for 6
4 × 2 = 8 ← require to + 2 for 10
4 × 3 = 12 ← require to + 2 for 14
Thus pattern number n would have
sticks = 4n + 2
What is the next number in the pattern pattern below?
3,5,9,15,23
A.31
B.33
C.35
D.37
Solve the system by the elimination method.
R - 9S = 2
3R - 3S = -10
A. {(-4, -8/3)}
B. {(-4, -3/2)}
C. {(-4, -2/3)}
C. (-4,-⅔)
Step-by-step explanation:
Elimination Method:
R - 9S = 2
3R - 3S = -10
I'll solve for X first by eliminating S.
R - 9S = 2
-3(3R - 3S = -10)
R - 9S = 2
-9R + 9S = 30
(Add the equations)
-9R = 32
(Divide both sides by -9)
-9R/-5 = 32/-5
R = -4
Substitute the R value into either equation:
R - 9S = 2
(-4) - 9S = 2 (Add 4 to both sides of the equation)
+4 +4
-9S = 6 (Divide both sides of the equation by -9)
-9S/-9 = 6/-9
S = -6/9
Simplify
S = -2/3
Solution: (-4,-⅔)
Hope this helped
[tex] \sqrt[3]{ \frac{ - 512}{1000} } [/tex]
Answer:
[tex]-\frac{4}{5} OR -0.8[/tex]
Step-by-step explanation:
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
Which graph represents the following system of inequalities.
Answer: Graph C is correct
Step-by-step explanation:
The region below the dashed red line is y < 4/3x +2
The region below the solid purple line is y ≤ -1
The region below and left of the solid green line is y ≤ -3x
Answer:
C is correct
Step-by-step explanation:
Yes, most def
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answer:
5 ft, I think
What is 3x+2y=-12 in Y=Mx+b form? Please answer ASAP
Hey there! :)
Answer:
y = -3/2x - 6
Step-by-step explanation:
Begin by isolating the 'y' variable:
3x + 2y = -12
Subtract both sides by 3x:
2y = -3x - 12
Divide both sides by 2:
y = -3/2x - 6
Therefore, the equation in y = mx + b form is:
y = -3/2x - 6
Answer:
y= -1.5x-6
Step-by-step explanation:
In order to turn this equation into y=mx+b form, we need to move x to the other side.
Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x
Step 2 : Now that we have everything on the right side, divide the equation by 2.
Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.
Dylan scored a total of 48 points in the first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
g = 48 divided by 4
Step-by-step explanation:
Answer:
g=48/4
Step-by-step explanation:
this thing / mean divided
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
What is the midpoint of the segment shown below?
Answer:
It is C (4,3). Hope it helps.
Answer:
C. (4,3)
Step-by-step explanation:
To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.
► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)
Answer:
510.71 cm^2Solution,
[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Answer :
Here,
Diameter = 5cm so, radius = 5/2 = 2.5
Height = 30 cm
Surface area of a cyclinder = 2πr(r+h)
= 2 × 22/7 × 2.5 ( 30 + 2.5 )
= 5 × 22/7 × 32.5
= 510.71 cm²
WILL GIVE 60 PTS! PLEASE HELP ME!!!! ANYTHING WILL HELP JUST EXPLAIN HOW TO GET THE ANSWER X is increased by 50% and decreased by 30% . What is the result? I am giving 60 points!
Answer:
[tex]\frac{5x+1}{5}[/tex]
Step-by-step explanation:
Given Condition:
=> x+50%-30%
=> x+20%
=> [tex]x+ \frac{20}{100}[/tex]
LCM = 100
=> [tex]\frac{100x+20}{100}[/tex]
Taking 20 common
=> [tex]\frac{20(5x+1)}{100}[/tex]
=> [tex]\frac{5x+1}{5}[/tex]
Hope this helps!
Don't hesitate asking anything regarding this!
1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0