Answer:
x = 7/3
Step-by-step explanation:
Given equation:
–9x² + 49 = 0To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.
⇒ –9x² + 49 - 49 = 0 - 49⇒ –9x² = -49We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.
⇒ –9x² = -49⇒ -9x²/-1 = -49/-1⇒ 9x² = 49Clearly, we can see that 9x² and 49 are perfect squares. Therefore,
⇒ 9x² = 49⇒ (3x)² = (7)²Take square root both sides of the equation:
⇒ √(3x)² = √(7)²⇒ 3x = 7To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation
⇒ 3x/3 = 7/3⇒ x = 7/3Therefore, the value of "x" must be 7/3.
Answer:
x = 7∕3, –7∕3
Step-by-step explanation:
To find the solutions of the quadratic equation -9x^2 + 49 = 0, we can solve for x by isolating x^2 first:
-9x^2 + 49 = 0
-9x^2 = -49
Dividing both sides by -9, we get:
x^2 = 49/9
Taking the square root of both sides, we get:
x = ± 7/3
Therefore, the solutions of the quadratic equation -9x^2 + 49 = 0 are x = 7/3 and x = -7/3.
write the decimal Equivalent for this fraction 7/10
Answer: 0.7
This is because the 7 is in the tenths place
0.7 = 7 tenths = 7/10
You could also use long division or a calculator to get this decimal value.
Answer:
0.7
Step-by-step explanation:
To convert a decimal to a fraction, didvide the numerator by the denominator.
7 ÷ 10 = 0.7
note: This fraction is over 10. Any fraction over 10 will have a decimal value in the tenths place.
hope this helps!
The table below summarizes the number of children per household for a sample of 36 high-income families.
Number of households
Number of children
16
13
What is the mean number of children per household for these families? Round your answer to at least one decimal place.
Using the given table, it is found that the mean number of children per household for these families is of 2.33.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
Researching the problem on the internet, the table states that:
2 households have 4 children.16 households have 2 children.13 households have 3 children.5 households have 1 children.The total number of children is given by:
T = 2 x 4 + 16 x 2 + 13 x 3 + 5 x 1 = 84
Hence the mean number of children for the 36 households is given by:
M = 84/36 = 2.33.
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How do you find a 180 degree angle?
180° angle is a straight line
hope it helps....!!!
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
performs an experiment. Liam randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Liam performs the experiment 62 times. The
results are shown below:
A pineapple chew was selected 58 times. Based on these results, express the probability that the next chew Liam removes from the bag will be cherry chew as a decimal to the nearest hundredth
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Liam removes from
the bag will be cherry chew as a decimal to the nearest hundredth
The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Liam performs the experiment 62 times
Total number of outcomes = 62
A pineapple chew was selected 58 times.
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Now, the probability that the next chew Liam removes from the bag will be cherry chew:
P = 2/62
P = 1/31
P = 0.0322 or 0.03
Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
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determine whether the set is finite ir infinite
Answer:
The set is Infinite
Step-by-step explanation:
Infinite sets are ≥ greater than 1 and sometimes has an N
Write the following in fraction form.
24 hours per day
Answer:
24 hours/1 day
Step-by-step explanation:
hours per day is a rate which can be expressed in the form of a fraction. since there are 24 hours in one day you know that as a fraction, they are equal to 1. you can then put 24hours/1day.
will you tell me what the gcf of 18, 24, 48 is?
Answer:
6
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest number that is in all lists is 6
pls help Will mark brainliest!! One x-intercept of y = x2 + bx + 10 is 5.
a. How you can find the value of b?
b. What is the value of b?
c. What is true about the x-intercepts of this function?
The value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x-intersept.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
Number 5 is the one x-intercept of the equation,
[tex]y = x^2 + bx + 10[/tex]
Put the value of y as 0 and x as 5 at the to find the value of b.
[tex]0= 5^2 + b\times 5 + 10\\0= 5^2 + b\times 5 + 10\\0=25+5b+10\\5b=35\\b=7[/tex]
Thus, the value of b is 7.
The given equation is a quadratic equation, and a quadratic equation may have 2 x-intercept. Thus, the true statement is that x-intercepts of this function can be up to 2.
Hence, the value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x intercept.
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3x2 = 75 - Find the value of x.
- - - - - -- - - - - - - - - - - - - - -- - - - - - - -- - - - - - - - -- - - - - - - - -- - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
3x²=75. What is x?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, divide by 3 on both sides:-
x²=25 Next, take the square root of both sides:-
x=5, x=-5 (remember, x² =x times x (x times itself); 5 times itself gives 25, and -5 times itself also results in 25)
[tex]\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{So\:the\:value\:of\:x\:is\:5\:and\:-5}}}}\dashleftarrow[/tex]
Good luck.- - - -- -- - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - -- - - - - - -- -
how many centimeters are equual to 12 meters
Answer:
1200 centimeters=12 meters
Step-by-step explanation:
100 centimeters in a meter
so
100x12=1200
In step 2, how do you know that 5x? and -12x? are like terms? If you could please help me with 1,2,3 if not just 2
Pls help me and show work! Thank you <3
Answer: C
Step-by-step explanation:
By the alternate interior angles theorem, we know that [tex]5y+14=8y-13 \longrightarrow y=9[/tex].
So, this means that [tex]m\angle RPS=59^{\circ}[/tex].
Now, if we consider [tex]\triangle RPS[/tex], since angles in a triangle add to [tex]180^{\circ}[/tex], this means that [tex]59+2x+1+3x=180 \longrightarrow x=24[/tex].
So, [tex]m\angle RSP=\boxed{59^{\circ}}[/tex]
Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.
tan( ∅ - x )
By definition of tangent,
tan(θ - x) = sin(θ - x) / cos(θ - x)
Expand the sine and cosine terms using the angle sum identities,
sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)
cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)
from which we get
tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))
Also recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
from which we have two possible values for each of cos(θ) and sin(x):
cos(θ) = ± √(1 - sin²(θ)) = ± 3/5
sin(x) = ± √(1 - cos²(x)) = ± 12/13
Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :
• cos(θ) = 3/5, sin(x) = 12/13 :
tan(θ - x) = -56/33
• cos(θ) = -3/5, sin(x) = 12/13 :
tan(θ - x) = 16/63
• cos(θ) = 3/5, sin(x) = -12/13 :
tan(θ - x) = -16/63
• cos(θ) = -3/5, sin(x) = -12/13 :
tan(θ - x) = 56/33
Now
cos(ø-x)
cosøcosx+sinøsinx(3/5)(-5/13)+(4/5)(12/13)(33/65)sin(ø-x)
sinøsinx-cosøcosx48/65+33/6581/65So
tan(ø-x)
sin(ø-x)/cos(ø-x)81/65÷33/6581/3327/11many credit card companies allow you to review your account statement online true or false
Many companies are moving online or are entirely online already. This includes credit card companies. Also, these same companies may send a bill in the mail as well, but it depends on the company. It effectively depends on if you select the "paperless billing" option or not.
What is the volume of the figure, in cubic centimeters?
Answer:
72 cm³
Step-by-step explanation:
Split the figure into 2 parts :
Top cuboidLower cuboidVolume of Lower Cuboid
V = 6 x 4 x 2V = 24 x 2V = 48 cm³Volume of Top Cuboid
V = 3 x 4 x (4 - 2)V = 12 x 2V = 24 cm³Total Volume
48 cm³ + 24 cm³72 cm³Find the sum between 309 and 908
Answer:
1217 I think
Step-by-step explanation:
Answer:
1217
Step-by-step explanation:
309 and 908 combined together is 1217
Mr sithole intends to renovate his ceiling which is falling the carpenter quoted him R16000 for materials and labor .Mr sithole does not have the required cash at the moment he plans to borrow the money since the repairs are urgent .Mr sithole approached two bank A offered to lend him R16000 for five years at 18% per annum simple interest . bank B will lend him R16000 for five years at 16% interest compounded per annum.
Bank B will cost him R3205 MORE.
He must go with Bank A.
Please solve with explanation (high points)
The distance from point P to the foot of the flagpole is 13.42m. So, The height of the flagpole will be 17.7 m.
What are the six trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
We know that
[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
Let x be the distance from point P to the foot of the flagpole.
So, From point P the height h of the flagpole will be
[tex]tan(53) = \dfrac{height}{x}\\\\tan(53) x = h\\\\h = 1.32x[/tex]
From point Q, the height h will be
[tex]tan(28) = \dfrac{height}{20+x}\\\\tan(28) (20+x )= h\\\\h = 0.53 (20+x )[/tex]
From both values of h, we get
x = 13.42
Put the value of x in the first value of h,
h = 1.32 ( 13.42)
h = 17.7
Hence, the height of the flagpole will be 17.7 m.
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help pleaseee and explain too if you can
Answer:
y=30 and x =25.98
Step-by-step explanation:
Solving For Y value:
Sin30 = 15/y
0.5 = 15/y
y0.5 = 15
y = 15 / 0.5
y=30
Solving For X value:
Tan30 = 15 / x
0.58 = 15 / x
x0.58 = 15
x= 15/0.58
x =25.98
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
Atotal=60cm2
Step-by-step explanation:
A1=BH
=6cm*5cm
=30cm2
A2=1/2 BH
=1/2(12cm)(5cm)
=6cm*5cm
=30cm2
A1+A2=Atotal
30cm2+30cm2=Atotal
60cm2=Atotal
What’s the answer to this question
Answer: 6h + 4.5d + 10 = 61
Explanation: We know that peanuts cost 5 each, and they bought two. So, 10 dollars.
We don't know how many hotdogs or drinks they've bought so that will be our variable.
Hot dogs = 6$
Drinks = 4.5$
Total Price = 61
6h + 4.5d + 10 = 61
PLEASE HELP
Jasmine has saved $2500 to buy a used car, but she needs $3500 to buy the car she wants. If she places the $2500 into an account paying 6.5% interest compounded continuously, how many years will it be before she has the $3500 needed to purchase her car?
2.5 years
6.9 years
3.7 years
5.2 years
Answer:
about 5.2 years
Step-by-step explanation:
[tex]2500 {e}^{.065t} = 3500[/tex]
[tex]t = 5.2[/tex]
Which iS an example of area?
Answer:
3. The amount of wallpaper for a wall in a bedroom
Step-by-step explanation:
1. The number of towels I can fit in a bathroom cabinet
No, sounds more like volume, since a cabinet has space inside.
2. The amount of ribbon used to decorate from one end of a room to the another
No, sounds like perimeter, since a ribbon would need to cover space in one direction.
3. The amount of wallpaper for a wall in a bedroom
Yes, wallpaper is applied in 2 directions and lays flat on a surface to cover a certain area.
1. Consider the equation 2 x e x + = . This equation has a solution close to x = 0 .
a. Determine the linear approximation, L x( ), of the left-hand side of the equation about
x = 0 . (2)
b. Use L x( ) to approximate the solution of the equation 2 x e x + = . (2)
Answer:
the linear approximation formula is based on the equation of the tangent line of a function at a fixed point. The linear approximation of a function f(x) at a fixed value x = a is given by L(x) = f(a) + f '(a) (x - a).
Step-by-step explanation:
Please i need your hep
Answer:
a. 3
b. 12
c. In. and "
d. ft. and '
Step-by-step explanation:
c. 13in. or 13"
d. 13ft. or 13'
The angle 01, is located in Quadrant II, and cos(01) = -12/19
What is the value of sin(01)?
Answer:
sqrt(217)/19
Step-by-step explanation:
Ok so insead of using 01 as the angle ill use x. cos(θ) is the the x-value of the point on the unit circle, while sin(θ) is the y value. cos(x) here is -12/19. By constructing a triangle such that one of the verticies is at (-12/19, sin(x)), we know the x distance is -12/19, and the hypotenues is 1, because it's a unit circle. sqrt(1-144/361)=sqrt(217/361)=sqrt(217)/19. the y value must e positive because this point lays in the 2nd quadrant.
my explanation might be a but tricky so let me know if you have any questions.
Answer:
see explanation
Step-by-step explanation:
1+1=2 but why.... What is the explanation...
Answer:
Adding is basically counting. So 1+1 is basically counting two objects. There is 1 object and there is another. If you count them, then they are 2.
Find the circumference of Circle, if the diameter of the circle is 2 feet,
Answer:
6.28 ft
Step-by-step explanation:
The formula for the circumference of a circle is C = 2[tex]\pi[/tex]r.
The radius is half of the diameter. If the diameter is 2 feet, then the radius is 1 foot.
Plugging in the given, values, we have C = 2[tex]\pi[/tex](1). We can now solve.
note: [tex]\pi[/tex] = 3.14
C = 2(3.14)(1)
C = 6.28
hope this helps!
Find the mean, variance, and standard deviation of the binomial distribution. (round to the
nearest thousandths when needed)
Sixty-eight percent of families say that their children have an influence on their vacation
destinations. Consider a random sample of six families who are asked if their children
have an influence on their vacation destinations.
what is the circumference of a circle with diameter of 4 in
Answer:12.57
Step-by-step explanation:
