Answer:
Steps to factorize quadratic equation ax2 + bx + c = 0 using completeing the squares method are: Step 1: Divide both the sides of quadratic equation ax2 + bx + c = 0 by a. Now, the obtained equation is x2 + (b/a) x + c/a = 0. Step 2: Subtract c/a from both the sides of quadratic equation x2 + (b/a) x + c/a = 0.
Step-by-step explanation:
If x = -6, which inequality is true? question 1 options: -5 - 3x > 10 -3 - 5x < -14 1 - 2x > 13 2 - x < -3
Answer:
The inequality true is -5-3x > 10-3 (I hope thats the selection kinda hard to tell with spaces.
Step-by-step explanation:
By solving each side of each inequality your able to compare if the statements are true. -5-3x Is 13 and 10-3 is seven making that inequality the only true one in the selection.
Henry deposited $1700 in a savings account
that earned 2.1% compound interest. If he
made no more deposits, how much would he
have in his account after 72 months?
The amount that will be there in Henry's account after a period of 6 years will be $1,925.765.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
The amount that Henry put in the account is $1700, while the compound interest on that account is 2.1% annually. Also, the time for which the amount is kept in the account is 72 months which is equal to 6 years.
Now, the total amount in Henry's account after a period of 6 years will be,
[tex]\rm Account\ Balance = \$1700(1+0.021)^6[/tex]
[tex]= \$1700(1.021)^6\\\\= \$1,925.765[/tex]
Hence, the amount that will be there in Henry's account after a period of 6 years will be $1,925.765.
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Can a right triangle have an obtus angle? Why or why not?
Answer:
triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.
Step-by-step explanation:
No; in a right triangle, the other two angles are complementary so they are both less than 90° CLASSIFYING TRIANGLES Copy the triangle and measure its angles.
How would the mean change if the number 52 replaced the number 12 in the set?
10, 61, 10, 44, 21, 79, 27, 12
Question 1 options:
decrease
increase
no change
Answer:
increase
Step-by-step explanation:
First, we need to find the mean of the given data set without any change.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264
264 ÷ 8 = 33
Now that we have the mean, we can find the mean of the data set with the change of 52.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304
304 ÷ 8 = 38
From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.
hope this helps!
(20 points) what is 4x^2 = 32 ?
Answer: x=+2 check over 2
Step-by-step explanation:
1. Move terms to the left side
42=32
4x2-32=0
2. Common Factor
4x2-32=0
4(x2-8)=0
3. Divide both sides by the same factor
4(x2-8)=0
x2-8=0
4. Use the quadratic formula
x2-8=0
a=1
b=0
C=-8
5. Simplify
. Evaluate the exponent
. Multiply the numbers
.Add zero
. Multiply the numbers
6. Seperate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
7. Solve
Rearrange and isolate the variable to find each solution
a lot is 50m by 38m. A house 30m by 9m is built on the lit. How much area is left over
Answer:
1480m^2
Step-by-step explanation:
1. Fine the area of the full lot: 35 x 50 = 1750
2. Find the area of the house: 270
3. Subtract the area of the house from the lot: 1750 - 270 = 1480
Your answer is 1480m^2.
Please explain, too! Thank you :)
Answer:
∠POS = 128°
Step-by-step explanation:
Angles on a straight line always add up to 180°
Therefore:
∠POS + ∠POQ = 180° (as they are the angles on line SOQ)
∠POS + 52° = 180°
∠POS = 180° - 52°
∠POS = 128°
[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]
To find :-
The value of ∠POS
Given :-
∠POQ = 52°
Solution :-
The ∠POQ + ∠POS lies on same line SOQ. So they are linear pair and linear pair angle forms sum of 180°.
∠POS + ∠POQ = 180° {linear pair}
∠POS + 52° = 180°
∠POS = 180° - 52°
∠POS = 128°
Result :-
The angle ∠POS is 128°.
Can someone please help me with this…..
How much cardboard is needed to make the tissue box above? Square inches 8 3 3
The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.
What is the surface area of cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
The surface area of the cuboid is given by
[tex]S = 2(a\times b + b\times c + c\times a)[/tex]
For this case, tissue box is almost cuboid shaped.
Also, its dimensions are given being 8 inches, 3 inches and 3 inches.
Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),
Thus, we get:
Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)
= [tex]2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2[/tex]
Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.
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Work out the gradient of the line 3y-12x+7=0
Answer:
3y=12x-7
y=4x-7/3
so its 4
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the gradient of the line 3y-12x+7=0?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
4
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, add 12x to both sides and subtract 7 from both sides:
3y=12x-7
Now, divide by 3 on both sides:
y=4x-7/3
The gradient, or slope, of the line is 4.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
(10 + 13)(2 + 7y)
Which expression is equivalent to the expression above?
A. 20+70y
B. 23+9y
C. 26+91y
D. 46+161y
distribute.
[tex](10+13)(2+7y)\\\\20+70y+26+91y\\\\46+161y[/tex]
the answer is 46 + 161y.
Answer:
D. 46 + 161y
Step-by-step explanation:
Smiley face method/FOIL
(10 + 13)(2 + 7y)
= (10*2) + (10*7y) + (13*2) + (13*7y)
= 20 + 70y + 26 + 91y
Add like terms:
46 + 161y
Shandra has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $433.54.
She buys 2 bicycle reflectors for $18.41 each and a pair of bike gloves for $10.76.
She plans to spend some or all of the money she has left to buy new biking outfits for $66.40 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Shandra can purchase while staying within her budget.
Answer:
4
Step-by-step explanation:
Total budget = 760
Money left = 760 - 433.54 - 2*18.41 - 10.76 = 278.88
278.88 > oo * 66.4
oo < 4.2
As oo should be an integer, so number of outfit =4
What is the value of the expression 10 − (fraction 1 over 2)4 ⋅ 48?
10 - (1/2)^4 * 48 is a mathematical expression and the value of the expression 10 - (1/2)^4 * 48 is 3
How to evaluate the expression?The mathematical expression s given as:
10 - (1/2)^4 * 48
Evaluate the exponent
10 - (1/2)^4 * 48 = 10 - 1/16 * 48
Evaluate the product
10 - (1/2)^4 * 48 = 10 - 3
Evaluate the difference
10 - (1/2)^4 * 48 = 3
Hence, the value of the expression is 3
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OMG HELP ME OUTTTTTTTTTTTTTTTTTT GRRRR
Answer:
635.2 cm^3.
Step-by-step explanation:
Volume of the cylinder = π r^2 h
= 3.14 * 4^2 * 5 = 251.2
Volume of the prism = 4 *8 * 12
= 384
Total volume = 384 + 251.2
[tex]v = \pi {r}^{2} h[/tex]
[tex]v = 3.14 \times {4}^{2} \times 5[/tex]
[tex]v = 251.2 \: {cm}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 12 \times 8 \times 4[/tex]
[tex]v = 384 \: {cm}^{3} [/tex]
Total volume:[tex]v = 251.2 + 384[/tex]
[tex]v = 635.2 \: {cm}^{3} [/tex]
PLEASE ANSWER AS FAST AS U CAN
Answer:
1) 14π
2) 47.1
Step-by-step explanation:
1)
Circumference = 2πr
where r = radius
given radius is 7mi
So we have C = 2πr and r = 7
==> plug in 7
C = 2π(7)
==> multiply 2 and 7
C = 14π
we leave our answer in terms of pi so this is our final answer.
2)
Again Cicumference = 2πr
The given radius here is 7.5
So C = 2πr
R = 7.5 and π = 3.14
==> plug in values
C = 2(3.14)(7.5)
==> multiply 2 and 3.14
C = 6.28(7.5)
==> multiply 6.28 and 7.5
C = 47.1
15 POINT
A straw is placed inside a rectangular box that is 5 inches by 8 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
The length of the straw will be 9.89949 inches long in radical form.
What is Length of diagonal in cuboid?If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula
[tex]X^2=l^2+b^2+h^2[/tex]
As per the question the length of the straw is equal to length of the diagonal of Rectangular box.
l= 5 inch , b= 8 inch , h= 3 inch
Let us consider the length of the straw be 'x'.
As, Diagonal of Cuboid is,
[tex]X^2+l^2+b^2+h^2[/tex]
[tex]X^2=5^2+8^2+3^2[/tex]
[tex]X^2=25+64+9[/tex]
[tex]X^2=98[/tex]
[tex]X=\sqrt{98}[/tex]
X= 9.89949 (in radical form)
Hence, the length of the straw will be 9.89949 inches.
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expand and simplify 2(3x+4)-3(x-2)
Answer:
3x + 2
Step-by-step explanation:
2 x 3x
6x
2 x 4
8
6x + 8
3 x X
3x
3 x 2
6
6x - 3x
3x
8 - 6
2
3x + 2
A bag contains 4 red pencils, 6 blue pencils, and 5 green pencils. A pencil is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 1350 times.
The expected number of times to select a green pencil when the pencils are selected 1350 times is 450
How to determine the number of times?The distribution of the pencils is given as:
Red = 4
Blue = 6
Green = 5
The total number of pencil is:
Total = 4 + 6 + 5
Evaluate the sum
Total = 15
The probability of selecting a green pencil is:
P(Green) = 5/15
Evaluate
P(Green) = 1/3
So, the expected number of times is:
E(x) = 1/3 * 1350
Evaluate
E(x) = 450
Hence, the expected number of times to select a green pencil is 450
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Answer: The Answer is 450
Explanation: I took the test and got it right
Hope this helps :)
Find the measures of the numbered angles in rhombus QRST.
how do you say 4 twenty dollar bills
Answer:
80 dollars?
Step-by-step explanation:
4*20=80
Given p = (6,6) and q = (-5,- 3) find the magnitude of 2p + 3q
A. 2√3
B. 3√2
C.√144
D.14
[tex]\begin{cases} p= < 6,6 > \\ q= < -5,-3 > \end{cases}\qquad \qquad \stackrel{2p}{2 < 6,6 > }~~ + ~~\stackrel{3q}{3 < -5,-3 > } \\\\\\ \stackrel{2p}{ < (2)(6)~~,~~(2)(6) > }~~ + ~~\stackrel{3q}{ < (3)(-5)~~,~~(3)(-3) > } \\\\\\ < 12~~,~~12 > ~~ + ~~ < -15~~,~~-9 > \implies < 12-15~~,~~12-9 > \\\\\\ \stackrel{2p~~ + ~~3q}{\boxed{ < -3~~,~~3 > }}\qquad \qquad ||\stackrel{magnitude}{ < -3,3 > }||\implies \sqrt{(-3)^2 + (3)^2}\implies 3\sqrt{2}[/tex]
How much did americans spend on health care in 2013? about $7,000 each about $8,000 each about $9,000 each about $10,000 each
Americans spent a total of about $9,000 each on health care in 2013.
Health care in AmericaHealth care is one of the most common expenses that people have to do. This derives from the comon saying that heath is wealth.
The graph shows the degree of expenses by the American people on the issue of health care in the year 2013. From the graph, we can see that Americans spent a total of about $9,000 each on health care in 2013.
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Answer:
C.) About $9,000
Step-by-step explanation:
Edge, 2022.
A sequence is defined recursively using the formula f(n 1) = f(n) – 5 . which sequence could be generated using this formula? 1, –5, 25, –125, ... 2, 10, 50, 250, ... 3, –2, –7, –12, ... 4, 9, 14, 19, ...
Since the sequence has a common difference of 5, hence the sequence is 4, 9, 14, 19, ... is defined recursively using the formula f(n 1) = f(n) – 5 .
Recursive functionsRecursive functions are functions used to generalize sequence. Given the recursive function
f(n - 1) = f(n) – 5 .
This can be written as:
f(n) - f(n-1) = 5
This shows that the correct sequence must have a common difference of 5
For the sequence 4, 9, 14,19...
d = 9 - 4 = 14 - 9
d = 5
Since the sequence has a common difference of 5, hence the sequence is 4, 9, 14, 19, ... is defined recursively using the formula f(n 1) = f(n) – 5
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can someone please help with these volume equations? 10th grade geometry. will reward brainly
Answer:
First picture - 20.42 m
Second picture - 12.9 m
Step-by-step explanation:
------------------------------------------------------------------------------------------------------------
Formula for pyramid:
[tex]V=b^2\frac{h}3[/tex]
Where,
b = base - 3.5 m
h = height - 5 m
Thus,
[tex]V=3.5^2\frac{5}{3}[/tex]
[tex]20.41667m^3[/tex] ≈ [tex]20.42m^3[/tex]
------------------------------------------------------------------------------------------------------------
Formula for pyramid:
[tex]V=b^2\frac{h}3[/tex]
Where,
b = base - 3 m
h = height - 4.3 m
Thus,
[tex]V = 3^2\frac{4.3}{3}[/tex]
[tex]12.9m^3[/tex]
------------------------------------------------------------------------------------------------------------
Kavinsky
Need asap! Find the following values for o P. APE=25x+15° DPE=33x-9° CPD=20+4°
Answer:
arc BC = 26°
arc AB = 90°
arc CAB = 334°
Step-by-step explanation:
The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.
__
equation∠APE +∠EPD = 180°
(25x +15)° +(33x -9)° = 180°
58x = 174 . . . . . . divide by °, subtract 6
x = 3 . . . . . . . . divide by 58
anglesAngle APE is ...
∠APE = (25x +15)° = (25·3 +15)° = 90°
Then ...
∠EPD = 180° -90° = 90°
∠DPC = (20·3 +4)° = 64°
∠CPB = 90° -64° = 26°
arcsarc BC = ∠BPC = 26°
arc AB = ∠APB = 180° -90° = 90°
arc CAB = 360° -arc AB = 334°
Miya flips a coin and rolls a 6 sided dice. She records the outcome. What is the chance she will flip heads
and roll a 3?
Answer:
aThere are 12 total possibilities: 6 numbers + Head or 6 numbers + Tail
Step-by-step explanation:
Now, required outcomes: T+2,4,6= 3/12 = 1/4
Please Help! Look at the picture down below. I don't understand this question at all.
What is the area of a sector if the radius
is 5 and the arc length is 2?
Answer: 5
Step-by-step explanation:
What is the correct answer to this problem? Please help!!!!
What value of f makes the equation f+4.02=6.5 true?
Answer:
[tex]f = 2.48[/tex]
Step-by-step explanation:
Step 1: Subtract 4.02 from both sides
[tex]f + 4.02 = 6.5[/tex]
[tex]f + 4.02 - 4.02 = 6.5 - 4.02[/tex]
[tex]f = 2.48[/tex]
Answer: [tex]f = 2.48[/tex]
Hope this helps! Let me know if you have any questions