Answer:
Option D, (x - 5)(x + 1)
Step-by-step explanation:
Step 1: Factor
[tex]x^2 - 4x - 5[/tex]
[tex]x^2 - 5x + x - 5[/tex]
[tex](x - 5)(x + 1)[/tex]
Answer: Option D, (x - 5)(x + 1)
Answer:
(x-5) (x+1)
Step-by-step explanation:
x^2 -4x -5
What two numbers multiply to -5 and add to -4
-5*1 = -5
-5+1 = -4
(x-5) (x+1)
Calculate the Rate of Return on an initial investment of $6,000 valued at $6,500.
Answer:
8.3%
Step-by-step explanation:
The rate of return on initial investment is 8.34%.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the investment is $6,000 and valued at $6,500. The rate of the return will be calculated as,
Rate of return = ( 6500 - 6000) / 6000
Rate of return = 800 / 6000
Rate of return = 8.34%
Therefore, the rate of return on initial investment is 8.34%.
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A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
a. Find the center of the circle.
b. Find the radius. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle.
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
Answer:
a. (-3,2)
b. sqrt(65)
c. (x + 3)² + (y - 2)² = 65
Step-by-step explanation:
Centre:
midpoint of the diameter
(h,k) = (-10+4)/2, (-2+6)/2
(h,k) = (-3,2)
Length of the diameter:
sqrt[(-2-6)² + (-10-4)²]
sqrt(260)
2sqrt(65)
Radius: ½ × diameter
Radius = sqrt(65)
Equation:
(x - h)² + (y - k)² = r²
(x - -3)² + (y - 2)² = (sqrt(65))²
(x + 3)² + (y - 2)² = 65
help me please 20 points
Answer:
the answer would be 15/4, but you have to write it in other forms so do 15 div 3 and 4 div by 3 that gives you 1/3 . ANSWER = A
Step-by-step explanation:
1/7 ÷ 2 =
A.
1
14
B.
5
7
C.
1
2
7
D.
2
1
5
Hey there!
1/7 ÷ 2
= 1/7 ÷ 2/1
1/7 ÷ 2/1
Revert 2/1 to 1/2
1 × 1 / 7 × 2
1 × 1 = 1 ⬅ your NUMERATOR (top number)
7 × 2 = 14 ⬅ your DENOMINATOR (bottom number)
1(1) / 7(2) = 1/14
Answer: 1/14 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
What is 351.68 rounded to the nearest tenth?
Answer:
351.7
Step-by-step explanation:
The first number after the decimal is the tenth. Round up if the second number is 5 or above, round down if the second number is below 5.
Answer:
351.7
Step-by-step explanation:
Look at the tenths space which is one place to the right of the decimal. It is a 6.
Then look at the number behind it: if the number behind is is 4 or less the number in front stays the same, if the number behind it is 5 or more the number in front goes up one more
so there is an 8 behind the 6, so you round the 6 to a 7
factor polynomial 4a^2-4a+1
Answer:
(2a−1)(2a−1)
Step-by-step explanation:
Factor 4a2−4a+1
4a2−4a+1
=(2a−1)(2a−1)
Answer:(2a-1)(2a-1)
Step-by-step explanation:
4a2-4a+1
Factorise
Factors of -4 is -2&-2
Substitute
4a2-2a-2a+1
2a(2a-1)-1(2a-1)
(2a-1)(2a-1)
Or we say
(2a-1) twice
louis and valentina have 60 toys to build louis builds 1/2of the toys while valentina builds 2/5 how many toys are left
Answer:
6
Step-by-step explanation:
1/2 = 0.5
2/5 = 0.4
60 × 0.5 = 30
60 × 0.4 = 24
30 + 24 = 54
60 - 54 = 6
Answer:
6
Step-by-step explanation:
Louis build 1/2 of the toy and the total of the toy is 60
Which means
1/2×60=30
Valentina build 2/5 toy
2/5×60
120/5
24
So to determine the amount left
It will be
Total-(Louis+Valentina)
60-(30+24)
60-(54)
60-54
6
So the amount left is 6
Heather earns 8.00 per hour for walking a dog how many hours must she work to earn 256.00
Pls be quicckkkkkk
Answer:
32
Step-by-step explanation:
!NEED HELP URGENTLY!
p − 10p + -5p + 14p − -9p − 2 = -20
Answer:
p = -2
Step-by-step explanation:
p − 10p + -5p + 14p − -9p − 2 = -20
-9p + 9p + 9p = -20 + 2
9p = -18
p = -2
Find the tangent of theta
Given:
Right triangle.
Base = 10
Hypotenuse = 26
To find:
The missing side length
Solution:
Let the missing side length be x.
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]10^2+x^2=26^2[/tex]
[tex]100+x^2=676[/tex]
Subtract 100 from both sides.
[tex]100+x^2-100=676-100[/tex]
[tex]x^2=576[/tex]
Taking square root on both sides.
[tex]x=24[/tex]
The missing side length of the right triangle is 24.
Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?
Answer:
hope this helps you to understand
For 96 minutes the candles were burning if two candles of equal height start to burn simultaneously.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
W have:
Rate of burning for thicker = h/4
Rate of burning for thinner= h/2
remaining part = h - ht/4
remaining part = h - ht/2
h - ht/4 = 3(h - ht/2)
After solving for t:
t = 8/5 hours
or
t = 96 minutes
Thus, for 96 minutes the candles were burning if two candles of equal height start to burn simultaneously.
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A potential solution of sqrt(2x + 3) = sqrt(2x) + 3 is?
Answer:
1/2 and the second part is A
Step-by-step explanation:
e2020
Which of the following are true about x? Check all that
apply.
0 xEA
XEB
хе С
XEAUB
XEAUC
XEANB
Answer:
all except the first one
Step-by-step explanation:
just did this assignment
The statements true about x are all the statements other than first one. x ∈ B, x ∉ C, x ∈ A∪B, x ∈ A∪C and x ∈ A∩B.
What is Venn Diagram?Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.
Given is a Venn diagram.
The blue portion of the circle is A.
Pink portion is B.
Green portion is C.
x is inside the blue circle.
So x belongs to A. x ∈ A
So the statement 1 is not true.
x is also inside the pink portion.
So, x ∈ B
x is not inside the green portion.
So, x ∉ C
A ∪ B consists of all the elements inside A and all the elements inside B.
So x ∈ A∪B
Since x ∈ A, x will be included in A ∪ C.
So, x ∈ A∪C
A ∩ B consists of elements which are both in A and B.
Since, x ∈ A and x ∈ B, x ∈ A∩B
Hence all the statements other than first are true.
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The complete question is given below.
Anna Maria read 40 pages in 60 minutes. What is her unit rate in pages per unit?
Answer:
2/3 (0.6 repeating) pages per minute
Step-by-step explanation:
Divide the numerator (40) by the denominator (60).
You get 2/3 pages per minute.
One number is 6 more than another. Twice the larger number is 5 times the smaller. Which is the smaller number?
Answer:
4
Step-by-step explanation:
do the math plug it in
4 + 6 = 10,
10 x 2 = 20
20/5 = 4
The value of the smaller number is 4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's start by translating the given information into equations.
We can use variables to represent the two numbers, and use the given information to write equations in terms of those variables.
Let x be the smaller number.
Then the larger number is 6 more than x, which we can write as (x + 6).
Twice the larger number is 5 times the smaller, which we can write as:
2(x + 6) = 5x
Now we can solve for x:
2x + 12 = 5x
Subtracting 2x from both sides, we get:
12 = 3x
Dividing both sides by 3, we get:
x = 4
Therefore,
The smaller number is 4.
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1/3 of a number equals 12 which equation could be used to find the number
Answer: If you're looking for just an equation it would be 1/3x=12. If you need the answer as well, x=36.
Step-by-step explanation: "Of a number" means to multiply by x.
If you're looking for the solution to the equation as well, multiply both sides by 3. 12*3=36
The volume of a sphere is 500
3
πcm3. What is the radius?
Answer:
Step-by-step explanation:
The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula: 500 3 π = 4 3 πr3 2. undo multiplication of 4 3 : 125π = πr3 3. undo multiplication of π: 125 = r3 4. undo cube: 3√125 = r the radius of the sphere is 6 ⇒ 5 cm
Answer:
about 4.9 cm
Step-by-step explanation:
The equation for the volume of a sphere is V= [tex]\frac{4}{3}\pi r^3[/tex] . So, to solve this problem we will plug in 500 for V and solve for the radius, [tex]r[/tex].
500= [tex]\frac{4}{3} \pi r^3[/tex] Multiply both sides by 3: [tex]1500=4\pi r^3[/tex] Divide both sides by 4: [tex]375=\pi r^3[/tex] Divide both sides by [tex]\pi[/tex]: [tex]\frac{375}{\pi } =r^3[/tex] Find the cubed root of both sides: [tex]4.9237=r[/tex] The radius is about 4.9 cmBased on these results, which of these statements
are true?
-You would expect to get 0 heads and 3
heads about the same number of times.
-You would expect to get 1 head and 2 heads
about the same number of times.
-This would be a good experiment to use to
find the probability that a family has a dog or
a cat.
-This would be a good experiment to use to
find the probability that a family with 3 kids
has 1 boy
Answer:
e2020 is A and B
Step-by-step explanation:
Answer:
A-you would expect to get 0 heads and 3 heads about the same number of times
B-You would expect to get 1 head and 2 heads about the same number of times
Step-by-step explanation:
You need $40 to buy a new pair of shoes. You have saved $15. Which inequality
models how much more you must save?
Answer:
40<or= 15+ x
Step-by-step explanation:
What is longer 10/4 inches or 3 inches
Answer:
10 divided by 4 is 2.5 inch. so 3 inches is longer then 10/4
Step-by-step explanation:
solve for x, x/25 > 5
Answer:
x > 125
Step-by-step explanation:
Multiply both sides of the inequality by 25:
25(x/25) > 25(5)
x > 125
_____
Comment on solving inequalities
In general, you solve these the same way you would an equation. The difference comes when you use an operation that changes ordering. Multiplying or dividing by a negative number does that, for instance.
Consider ...
2 > 1.
Multiply both sides by -1, and it is true only if you reverse the comparison:
-2 < -1
(There are other operations that change ordering, but this is the one you will likely run across most often.)
What is the circumference of this circle, in centimeters? Use
d = 21 cm
33
66
207.4
346.5
Answer:
66 cm
Step-by-step explanation:
Diameter of the circle = 21 cm
π = 22/7
Circumference of a circle, C= πD
C = 22/7 * 21
C = 22 * 3 * 7 / 7
C = 22 * 3
C = 66 cm
Answer:
B:66
Step-by-step explanation:
The table shows the cost and number of minutes for different phone cards offered by a company. Which is the BEST VALUE?
A) 175 minutes
B) 200 minutes
C) 425 minutes
D) 545 minutes
Answer:
175 MinutesStep-by-step explanation:
175 minutes
Unit cost =
cost
number of minutes
$3.50
175
= 2¢;
$7.00
200
= 3.5¢;
$21.25
425
= 5¢;
$38.15
545
= 7¢;
$37.50
625
= 6¢
What is the measure of ?
Angles are not necessarily drawn to scale.
149
Answer:
60
Step-by-step explanation:
Albert wants to buys some pens. He is comparing 4 different packs of pens. The number of pens in each pack and the cost of the pack is shown in the table below. Which two packs of pens have the same cost per pen?
Answer:
There are 2 red pens in each pack
There are 3 blue pens in each pack
Step-by-step explanation:
we know that
270=2*3^{3} *5
180=2^{2}*3^{2}*5
Find the Greatest Common Factor (GCF)
The GCF is equal to------> 2*3^{2}*5=90
the greatest number of packs she can make is 90
Find the number of red pens in each pack 180/90=2 red pens
Divide the total number of red pens by the total number of packs
Find the number of blue pens in each pack 270/90=3 blue pens
Divide the total number of blue pens by the total number of packs
Write 10 ^ 10 * 10 ^ 0 with a power of 10 with a single exponent using the appropriate exponent rule explain or show your reasoning
Answer:
10^10
Step-by-step explanation:
Anything to the power of 0 is 1. 10^10 *1 is still 10^10
Answer:
10^10
Step-by-step explanation:
In ΔKLM, the measure of ∠M=90°, LK = 25, KM = 7, and ML = 24. What ratio represents the cosine of ∠L?
Answer:
24/25
Step-by-step explanation:
cosin=cah adjacent over hypotenuse
"The correct ratio representing the cosine of ∠L in ΔKLM is [tex]\(\frac{7}{25}\).[/tex]
In right-angled triangle ΔKLM, where ∠M is 90°, the cosine of ∠L is defined as the ratio of the adjacent side to the hypotenuse.
The adjacent side to ∠L is KM, and the hypotenuse is LK.
Given that LK = 25 and KM = 7, the cosine of ∠L is calculated as follows:
[tex]\[ \cos(\angle L) = \frac{\text{Adjacent side (KM)}}{\text{Hypotenuse (LK)}} = \frac{7}{25} \][/tex]
This ratio [tex]\(\frac{7}{25}\)[/tex] represents the cosine of ∠L in ΔKLM."
The diameter of the circle above is 8 cm. What is the circumference of the circle?
1) 12.56 cm
2) 25.12 cm
3) 100.48 cm
4) 50.24 cm
Answer:The Answer is D) 50.24 cm
Step-by-step explanation:
nstead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?
Answer:
[tex]2, 3, and, 4[/tex]
Step-by-step explanation:
[tex]Pink=P[/tex]
[tex]White=W[/tex]
The equation in this question is modeled by:
[tex]P=2W[/tex]
So all you need to do is put the numbers in this equation!
[tex]4=2W\\6=2W\\8=2W[/tex]
The answers would be:
[tex]2, 3, and, 4[/tex]
What is the volume of a refrigerator that is 6 feet high, 2 feet long, and 3 feet wide?
A. 11 cubic feet
B. 36 cubic feet
C. 24 cubic feet
D. 32 cubic feet
Answer:
B, 36 cubic feet
Step-by-step explanation:
The volume of a rectangular prism can be found by multiplying together all of the side lengths. 6*2*3=36 cubic feet, or option B. Hope this helps!
Volume of a rectangle [ V = h * l * w ]
V = 6 * 2 * 3
V = 12 * 3
V = 36
Therefore, the answer is B. 36 cubic feet
Best of Luck!