Answer:
10 1/8 years?
I hope this is right!
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
NEED HELP PLEASE ANSWER ASAP! (41)
Answer:
41. (2) x² - 3x - 4 =0
Step-by-step explanation:
Question 41
Standard form of polynomial
x² - (sum of roots) + product of roots = 0(2) x² - 3x - 4 =0Answer:
(2) [tex]x^2-3x-4=0[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]ax^2+bx+c=0[/tex]
When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.
So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.
[tex]\implies b=1+-4=-3[/tex]
[tex]\implies ac=1 \cdot -4[/tex]
As there the leading coefficient is 1, [tex]c=-4[/tex].
Therefore, the equation would be: [tex]x^2-3x-4=0[/tex]
Proof
Factor [tex]x^2-3x-4=0[/tex]
Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
The two numbers that multiply to -4 and sum to -3 are: -4 and 1.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies x^2-4x+x-4=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x-4)+1(x-4)=0[/tex]
Factor out the common term [tex](x-4)[/tex]:
[tex]\implies (x+1)(x-4)=0[/tex]
Therefore, the roots are:
[tex](x+1)=0 \implies x=-1[/tex]
[tex](x-4)=0 \implies x=4[/tex]
So the sum of the roots is: -1 + 4 = 3
And the product of the roots is: -1 × 4 = -4
Thereby proving that [tex]x^2-3x-4=0[/tex] has roots whose sum is 3 and whose product is -4.
Will mark brainlist to whoever answers first
(5).
Answer:
Step-by-step explanation:
US=26
SV=UV=[tex]\frac{26}{2}[/tex] (diagonals of parallelogram bisect each other)
UV=13
If the radius of the circle is 14 meters, find the length of arc RS
(brainliest given)
To find a certain part of the arc:
⇒ we find a fraction of the circumference
Based on the diagram and information given:
radius: 14 metersarc: RS⇒ which spans 116 degrees of the entire 360 degrees the whole
arc covers
Thus let's solve:
[tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]
Answer: 28.34 meters
Hope that helps!
Alice and malice are twins. they have a brother bob who is 8 years older. if the sum of their ages is 23, find the ages
Answer:
Alice's age = 5 years
Malice's age = 5 years
Bob's age = 5+8 =13 years
Step-by-step explanation:
Let x be the age (in years of Alice and Malice (They have the same age because they are twins).
Age of Bob: x+8 (because he is 8 years older than the twins).
Then the sum of their three ages is 23:
x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23
2x + ( x+8) = 23
3x+8 = 23
3x = 15
(3x)/3 = 15/3
x = 5
So ...
Alice's age = 5 years
Malice's age = 5 years
Bob's age = 5+8 =13 years
A certain ore contains 9 percent gold. How much ore (in tons) is needed to obtain 126 tons of gold
Answer:
251,991 tons of ore are need to obtain 126 tons of gold.
Step-by-step explanation:
a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillian measures an angle of depression to the boat at point A to be 10°. At some later time, Lillian takes another measurement and finds the angle of depression to the boat (now at point B) to be 68°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
A.) The distance between the boat and the lighthouse when the angle of depression is 10°.
Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(10°) = 822.336ft
B.) The distance between the boat and the lighthouse when the angle of depression is 68°.
Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(68°) = 58.584ft
The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft
Hence, the distance from point A to point B is 763.752ft.
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Answer:
764
Step-by-step explanation:
Rounded. Just did the question
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need to be completely filled?
There are 10 number of 1 cubic inches box required to fill the container completely.
What is a cuboid?
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We have:
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.
The volume of the prism box = 4×4×3 = 48 cubic inches
Here some data are missing.
We are assuming there are 38 1 cubic inches box already in the big box.
So,
= 48 - 38
= 10
Thus, there are 10 number of 1 cubic inches box required to fill the container completely.
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can someone help me pls
Answer:
90
Step-by-step explanation:
Formula : 180 ( n - 2 ) / n n being the amount of sides
180 ( 4 - 2 ) / 4 = 90
I NEED THIS DONE ASAP
Answer:
you didnt put anything
Step-by-step explanation:
I need help with this ASAP
At Josie’s job, she is paid $12 for every hour she works. Write a
recursive and explicit formula to describe this sequence.
Im also giving Brainlist
Answer:
It would be y=12x
Step-by-step explanation:
I think
Answer:
if x=24°and y = 54°
sin x + sin y
_x 11 = 99 what is the missing number?
Answer:
9 x 11 = 99
Step-by-step explanation:
if the number 11 is being multiplied by is under 10 its just that number twice.
11x1 = 11
11x2 = 22
11x3 = 33
ya know?
A tire company wants to determine if tires made with a new type of tread will last longer than tires made with the original type of tread. The company has access to 24 different vehicles. Each vehicle will receive four tires with the new tread and four with the original tread. The position, front or back, will be randomly determined for a pair of each type of tread. For example, a vehicle will have the new type of tread on the front tires and the original tread on the back tires. After six months, the pairs of unused tires will be used with the position switched on the car. The vehicles will be driven for six more months. At the end of one year, the depths of the remaining tread will be measured for each tire and the average differences between the new and original tread types will be determined. The average differences will then be used to determine if the new tread does last longer.
Is this a matched pairs design for this experiment?
Yes, the company used 24 different vehicles.
Yes, both types of tread were randomly assigned to each vehicle.
No, the vehicles were not put into groups of two.
No, the tires with the different types of tread were not randomly assigned to each vehicle.
This is a matched pairs design because both types of tread were randomly assigned to each vehicle.
What is matched pairs design?The term matched pairs design has to do with the situation in which participants are randomly assigned to an experiment or a control group. For each participant assigned to an experimental group, another is assigned to the control group.
Thus, this is a matched pairs design because both types of tread were randomly assigned to each vehicle.
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Need help asap
the garcia family has a monthly car loan payment of $400, and their average monthly credit card bill is $4,800. mr. garcia
is also paying $1,000 per month to support his elderly parents. compute the back-end ratio to the nearest percentage.
type the correct answer in the box. use numerals instead of words.
Answer:
70%
Step-by-step explanation:
simplify the expression
4(-8x+5)-(-33x-26)
Answer:
x+46
Step-by-step explanation:
x+46 because you do math and dont worry ive done this problem pls can you help me with my problem
What are polynomials?
Polynomials are mathematical expressions made up of many terms.
How to simplify a polynomial?
To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.
we solve ⇒ 4(-8x+5)-(-33x-26)
To distribute
-32x+20-(-33x-26)add up the numbers
-33+20+33x+26Combine like terms.
-32x+46+33xMultiply by 1.
1x + 46Solutionx + 46 ======> AnswerPLEASE HELP WILL GIVE BRAINLIEST!
Evaluate for f(6), show all your work: f(x)=x^2-4
Answer: 32
Step-by-step explanation:
f(6) = 6^2-4 = 36-4 = 32
Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
Luis is flying a kite, holding his hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 35^{\circ} ∘ . If the string from the kite to his hand is 140 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
The height of the kite above the ground to the nearest tenth of a foot is 84.1 ft
Using the angle of elevation to find height?The situation forms a right angle triangle.
Therefore, the length of the string is the hypotenuse of the triangle formed.
Hence, using trigonometric ratios,
sin 35 = opposite / hypotenuse
sin 35 = h / 140
cross multiply
h = 140 sin 35
h = 140 × 0.57357643635
h = 80.3007010891
Height of the kite above the ground = 80.3007010891 + 3.75 = 84.0507010891
Height of the kite above the ground = 84.1 ft
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The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 800 hours and a standard deviation of 50 hours. what is the probability that
a randomly chosen light bulb will last between 780 hours and 810 hours, to the
nearest thousandth?
Answer:
23.47 % ( or .2347)
Step-by-step explanation:
780 is 20/50 = .4 for z score - .4
810 is 10/50 = .2 z-score = .2
Use z-score table .5793 - .3446 = .2347 23.47%
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 2.8
B) 6.5
C) 4.7
D) 8.2
Answer: B) 6.5
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.
a² + b² = c²
3.6² + b² = 7.4²
12.96 + b² = 54.76
b² = 41.8
b = [tex]\sqrt{41.8}[/tex]
b ≈ 6.5
The length of the missing side is about B) 6.5.
Answer:
B)6.5
Step-by-step explanation:
H²=P²+B²
7.4²=3.6²+B²
B=√41.8
B=6.465≈ 6.5
A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?
The value of the given cone with a volume of 144 has a width is 6 inches.
We have given that,
A box of cereal has a volume of 144 inches squared.
The height of the cereal box is 12 inches, and the depth is 2 inches.
The volume of cone = 144 inches squared.
height=12 inches
depth=2inches
What is the formula of the cube?Area of a cube = V = L * W * H
L-length
W-width
H-height
We have to determine the width cereal box.
Plug the given values in the formula
V = L * W * H
144=2×12×width
Width=144/24
Width=6inches
Therefore the value of the width is 6 inches.
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Which values represent solutions to cos
s(1 - x) = x sinx, where x E [0, 27)?
Answer:
[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]
Step-by-step explanation:
Sphere B is the image of sphere A after dilation by a scale factor of 44. If the volume of sphere A is 50 m^3
3
, find the volume of sphere B, the image.
Step-by-step explanation:
there is no image here. and we don't know, if B is smaller or lager than A.
anyway, the volume of a sphere is
4/3 × pi × r³ = 4/3 × pi × r×r×r
that means the scale factor applying to r (radius) has to be multiplied in 3 times (with every r). so, to compare the volumes, the volume scale factor is cubed the linear scale factor.
44³ = 85184
if B is smaller, then its volume is 50/85184 m³
if B is larger, then its volume is 50×85184 m³
since this a such a big number, you made possibly a typo with the scale factor.
The volume of sphere B, the image of sphere A after dilation by a scale
factor of 44, is approximately 1,223,762.42 cubic meters.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, The volume of a sphere is given by the formula:
V = (4/3) pi r
where V is the volume, pi is the constant 3.14.., and r is the radius of the sphere.
Since, sphere A has a volume of 50 cubic meters, we can use this formula to solve for its radius:
50 = (4/3) pi r
r = (3/4) (50 / pi)
r = (3/(4pi) 50)^(1/3)
r = 2.67 meters
Note that we know,
The radius of sphere A, we can use the scale factor of 44 to find the radius of sphere B:
rₐ = 44 rₓ
rₐ = 44 × 2.67
rₐ = 117.48 meters
Finally, we can use the volume formula again to find the volume of sphere B:
V(B) = (4/3) pi rₓ
V (B) = (4/3) pi (117.48)
V (B) = 1,223,762.42 cubic meters
Therefore, the volume of sphere B, the image of sphere A after dilation by a scale factor of 44, is approximately 1,223,762.42 cubic meters.
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If XYZ measures 55°, what is the measure of WZ?
a. 125°
B. 305
C. 55
D. 110°
Please help me!!? Number 6
Answer:
the b believes in me
Step-by-step explanation:
B)75km etc
1hr
[tex]\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}[/tex]
========================================================
Explanation:
We'll use the following facts (either memorized or written on a reference sheet somewhere)
1000 m = 1 km1 hr = 60 min1 min = 60 secEach of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of [tex]\frac{1000 \text{ m}}{1 \text{ km}}[/tex]
In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.
Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.
Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.
Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.
slope for (-7, -4) and (8, 8)
Answer:
4/5
Step-by-step explanation:
Can someone please help me?
The center of the circle will be equal to (-3,4) equation of the circle x²+y²+6x-8y+16=4
What is circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
The general form of the equation of the circle is:-
(x-x₁)²+(y-y₁)²=r²
here x1 and y1 are the center of the circle
Now we will convert our equation in the general form:-
x²+y²+6x-8y+16=4
x²+6xy²-8y+16-4=0
x²+3x+3x+9-9+y²-4y-4y+16-16-4=0
(x+3)²+(y-4)²-9-16+16-4=0 (x+3)²+(y-4)²=13
By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)
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I need help with this its like a fraction
[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]
The rule used is
[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Subtract the exponents when dividing exponentials like this of the same base.
ac/b−(a+d) if a=−2 , b=3 , c=−12 , and d=−4 .
Answer:
the answer is 14 hopes this helps
Step-by-step explanation:
Ac/b=?
-2(-12)=24/3
24/3=8
8-(a+d)=?
8-(-2(+-)4)=?
8-(-2-4)=?
8+2+4=?
10+4=?
14
This is geometry but I forgot how to do the equations
Answer:
Step-by-step explanation:
Those are the special triangles 45-45-90 and 30-60-90
6. y = 5 and x = 5sqrt(2)
7. y= 8 and x = 8sqrt(3)
8. x = 10sqrt(2)
