Answer:
D
Step-by-step explanation:
Given
5 - [tex]\sqrt{c+5}[/tex] = 1 ( subtract 5 from both sides )
- [tex]\sqrt{c+5}[/tex] = - 4 ( multiply both sides by - 1 )
[tex]\sqrt{c+5}[/tex] = 4 ( square both sides )
c + 5 = 4² = 16 ( subtract 5 from both sides )
c = 11
The value of c is 11 when n = 5.To find the value of c in the equation [tex]n - \sqrt(c + 5) = 1[/tex] when n = 5, you can simply substitute n with 5 and then solve for c.
Given equation: [tex]n - \sqrt(c + 5) = 1[/tex]
Now, replace n with 5:
[tex]5 - \sqrt(c + 5) = 1[/tex]
Next, isolate the square root term by moving the constant term to the other side:
[tex]sqrt(c + 5) = 5 - 1\\sqrt(c + 5) = 4\\[/tex]
Now, square both sides of the equation to eliminate the square root:
[tex](c + 5) = 4^2\\c + 5 = 16[/tex]
Finally, isolate c:
c = 16 - 5
c = 11
So, the value of c is 11 when n = 5.
To know more about equation:
https://brainly.com/question/10724260
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How much carpet would be needed to cover the area in the figure?
Answer:
28 square yards
Step-by-step explanation:
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale.
Answer:
Lateral Surface Area = 472 m²
Total Surface Area = 486m²
Step-by-step explanation:
The above prism is a Triangular prism
a) Lateral Surface Area = Perimeter of the Base × H
H = 29m
Perimeter of the Base = (7m + 7.28m + 2m)
= 16.28m
Lateral Surface Area = 16.28m × 29m
= 472.12 m²
Approximately to the nearest whole number = 472 m²
b) Total Surface Area
Triangular prism =
2 Triangles and 3 Rectangles
1st Triangle = 1/2 × base × Height
= 1/2 × 2m × 7m
= 7m²
2nd Triangle = 1/2 × base × height
= 1/2 × 2m × 7m
= 7m²
1st Rectangle = Length × Width
= 29m × 2m = 58m²
2nd Rectangle =
Length × Width
= 29m × 7.28m = 211.12m²
Length × Width
= 29m × 7m = 203m²
Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²
= 486.12m²
Approximately to the nearest whole number = 486 m²
Option A is the correct option
A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answer:
(0, - 5)
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
if the vertex is at:
(h, k)
Then the focus is at:
(h, k + 1/(4*a))
Here we have the parabola:
x^2 = -20*y
if we isolate y, we get:
y = (-1/20)*x^2
First, we need to find the vertex.
remember that for a general quadratic equation
a*x^2 + b*x + c = 0
the x-value of the vertex is at:
x = -b/2*a
in this case we have b = 0, then our vertex is at x = 0.
If we evaluate the function at x = 0 we get:
y = (-1/20)*0^2 = 0
Then the vertex is at (0, 0)
Thus the focus will be at:
(0, 0 + 1/(4*a))
and we have
a = -1/20
then:
1/(4*a) = -20/4 = 5
Then the focus is:
(0, 0 -5) = (0, - 5)
Answer:
(0,-5)
Step-by-step explanation:
Did the test on Edge
Can someone please solve this?
what is the measure of ABD
Answer:
39
Step-by-step explanation:
What is the factored form of 8x2 + 12x?
4(4x2 + 8x)
4x(2x + 3)
8x(x + 4)
8x(x2 + 4)
4x(2x + 3) .......
hope it helps
Answer: b= 4x( 2x + 3)
Step-by-step explanation:
8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.
= 4x( 2x + 3)
Help me with this pls
Answer:
Point Form:
(1,−2)
Step-by-step explanation:
Equation Form:
x=1 , y=−2
glad to be of assistance
Find the volume of this square
based pyramid.
Answer:
60
Step-by-step explanation:
I hope this is correct, if it is wrong please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
please help me solve this problem one problem for 15 points
i didn't get it what is the question
I need help quick!Please help me!
Oh shucks, that's crazy man
you're reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance in this example approximately how long will it take to pay off the original deck completely.
A.2yrs
B.5yrs
C.12yrs
D. The debt will never be completely repaid.
Answer:
The correct answer is D. The debt will never be completely repaid.
Step-by-step explanation:
Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.
Answer:
c. 12 years
Step-by-step explanation:
according to the book, it says it would take 12 years to get it paid off with just the minimum payments
The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?
Given:
The weights of dogs in a dog show is normally distributed.
Mean = 58 pounds
Standard deviation = 15
To find:
The probability that the weight of the dogs are between 35.5 and 65.5 pounds.
Solution:
We know that,
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.
We need to find the value of [tex]P(35.5<x<65.5)[/tex].
[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]
Level of significance is 95%.
[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]
[tex]P(35.5<x<65.5)=0.624653[/tex]
[tex]P(35.5<x<65.5)\approx 0.6247[/tex]
Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.
х =
•100
•120
•140
Answer:
i just don't known
Step-by-step explanation:
1.20
In 1990, the population p of India was about 870.5 million people. By 1995, there were about 960.9 million people. The equation =870.5⋅(1.021)
p
=
870.5
⋅
(
1.021
)
t
approximates the number of people, in millions, in terms of the number of years t since 1990.
By what factor does the number of people grow in one year?
Answer:
18.08 million people increase per year
Step-by-step explanation:
870.5 to 960.9 difference in 5 years.
960.9- 870.5 divided by 5 is your formula
comes to a 18.08 million people increase per year
no agruing this answer
Question 13 (1 point)
Hans is jumping on a trampoline. His distance from the ground, in metres, in terms of time, is modelled by the
equation () - 1.5 sm(360s)" + 2. What does the 2 in this equation represent?
Solve
if 1/3 of a number is added to 1/5 of the same number.the result is 8. find the number. I am
Answer:
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32
Answer:
SR = 28
Step-by-step explanation:
Recall: The corresponding side lengths of any two similar polygons are proportional.
Since the two polygons given are similar, it implies that:
SR/DC = PQ/AB
SR = ?
DC = 20
PQ = 21
AB = 15
Plug in the values
SR/20 = 21/15
Solve for SR. Cross multiply
SR*15 = 21*20
SR*15 = 420
Divide both sides by 15
SR = 420/15
SR = 28
((HELP ME PLEASEEEE))
For #2-7, decide if the triangles in each pair are similar. If they are similar, state how you know they are similar and then complete the similarity statement. If they are not similar, explain why.
Answer:
2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal
3. ΔCBA ~ ΔHGF
4. ΔVUT ~ ΔVML
5. ΔTUV ~ ΔJKL
6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal
7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal
Step-by-step explanation:
2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;
36/43, 16/39, and 16/40
We have;
[tex]\dfrac{36}{43} \neq\dfrac{16}{39}[/tex]
∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal
3. The interior angles of ΔCBA are;
∠A = 33°, ∠B = 88°, and ∠C = 59°
The interior angles of ΔHFG are;
∠H = 33°, ∠F = 59°, and ∠G = 88°
∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate
4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given
The measure of angle ∠MVL = ∠TVU by reflexive property
Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate
5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL
Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate
6. In triangles ΔSTU and ΔSCB, we have;
The ∠TSU = ∠TSU by reflexive property
However, ∠SUT ≠ ∠SNC ≠ ∠STU
Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle
[tex]\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}[/tex]
From which we get;
[tex]\dfrac{SB}{SU} \neq \dfrac{CS}{TS}[/tex]
∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal
7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;
[tex]\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}[/tex]
KM = KC + CM = 25 + 107 = 132
[tex]\dfrac{KC}{KM} = \dfrac{25}{132}[/tex]
Therefore;
[tex]\dfrac{KB}{KL} \neq \dfrac{KC}{KM}[/tex]
The ratio of the sides of triangles, ΔKLM and ΔKBC are;
Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal
help please help ghelp
Answer:
6,14
Step-by-step explanation:
yeah that is the answer
because if you substitute you get the answer
Answer:
C
Step-by-step explanation:
6=x
14=y
input those 2 values into the equation
Marcus' 2018 federal tax payment was $5,350. This payment was ⅕ of his 2018 annual salary. What is his 2018 annual salary?
Answer:
$26750
Step-by-step explanation:
1/5 * (total salary) = 5350
So, 5*5350 = total salary = 26750
what is the current world record for solving a rubiks cube 3x3
What are the real and imaginary parts of z? Z = 20i+26
Answer:
Imaginary: 20i
Real: 26
Step-by-step explanation:
Hope this helped.
Please help ASAP ! I’ll mark the right answer brainliest ! (People who leave scamming links will be reported )!
Answer:
3
Step-by-step explanation:
Simply follow the translation rule by adding 5 to the x value and subtracting 4 from the y value
The question is essentially asking us to find the y value after the translation
If 7 was the pre image y value and the rule for y value = is -4 then the new y value = 7 - 4 = 3
Need help with this question
Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°
help meeeeeeeee plssss
Answer:
5.16 m
Step-by-step explanation:
[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]
i really need help through this weekend question!
Answer:
bu the substitution property.
64, –48, 36, –27, ...
Which formula can be used to describe the sequence?
f(x + 1) = Three-fourthsf(x)
f(x + 1) = Negative three-fourthsf(x)
f(x) = Three-fourthsf(x + 1)
f(x) = Negative three-fourthsf(x + 1)
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Answer:
a
Step-by-step explanation:
WXYZ is a rhombus. Find the measurements using what you know about the properties of a rhombus.
WZ=4cm
Answer:
See below.
Step-by-step explanation:
In a rhombus, all sides are congruent.
In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.
XW = 4 cm
WZ = 4 cm
ZY = 4 cm
YX = 4 cm
m<X = 100 deg
m<Z = 100 deg
m<W = 80 deg
m<Y = 80 deg
4.26
[tex]12 \times 0.4 = 4.8 \\ [/tex]
yo brainly bolws and 2+2 is 4
Answer:
chese
Step-by-step explanation:
Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.
Answer:
2+2=4
Step-by-step explanation:
Bro, u serious?
please answer this !!!
5x + 100
x = 16°
Step-by-step explanation:
The sum of angles in a straight line = 180°
Therefore
5x + 100° = 180°
5x = 180° - 100°
5x = 80°
x = 80/5
x = 16°