The height of domino number 10 is 56.9 inches.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The exponential function:-An exponential function is given by:
y = abˣ
where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor
Let y represent the height of the number x domino
Since the height of the smallest domino no 0 is 3 inches, hence a = 5. b = 100% + 19% = 1.19
y = 10(1.19)ˣ
For x = 10:
y = 10(1.19)¹⁰= 56.9 inches
Therefore the height of domino number 10 is 56.9 inches.
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A contractor is purchasing some stone tiles for a new patio, each tile costs $3 and he wants to spend less than $1000 the size of each tile is 1 square foot, write and inequality that represents the number of tiles he can purchase with a $1000 limit, and the figure out how large the stone patio can be
Answer:
333.333 Tiles and 333.333 Square Foot
Step-by-step explanation:
3X <= 1000
X <= 1000/3
X <= 333.333 Tiles
Then
333.333* 1sqt2 = 333.333 Square Foot
Hi my name is aughhhhhhhhhhh
Answer:
Hello auggggh nice to meet you!
Step-by-step explanation:
here is an illustration of a bedroom. the striped wall and the floor intersect at a
19% of 49 in a decimal
Answer:
[tex] 19\% \: of \: 49[/tex]
[tex] \frac{19}{100} \times 49[/tex]
[tex]0.19 \times 49[/tex]
[tex]9.13[/tex]
Answer:
39.69
Step-by-step explanation:
A percentage is on a scale of 100 so we divide 19 by 100
that makes 0.19.
Then multiply 49 with 0.19 that makes 9.31 (this is 19% of 49)
49 - 9.31 = 39.69
A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125
The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]
Solving for t:
t = 5.54 ≈ 5.5 days
Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
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Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.
Answer:
2 angles are 142 degrees
2 angles are 38 degrees
Step-by-step explanation:
In any parallelogram, the opposite angles are congruent.
So,
5x - 8 = 2x + 82
3x - 8 = 82
3x = 90
x = 30
Now lets plug in x into one of the angles:
5 ( 30 ) - 8
150-8
142
So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.
2 ( 30 ) + 82
60 +82
142
As we can see, both angles are 142.
Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.
Any 4 sided shape has 360 degrees
142 + 142 = 284 degrees
Our 2 angles have 284 degrees in total.
if we subtract 284 from 360, we get 76.
Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.
So,
2 angles are 142 degrees
2 angles are 38 degrees
2. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays.
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125? I
Write a system of inequalities to represent this situation.
Answer:
Look down below and you will know the answer↓:
Step-by-step explanation:
He will have to work as between the range (of 20,0) and (0,20) points to earn more than $125.
So, What is inequality?
Inequality means is the relationship between two expressions that are not equal, so employing a sign such as ≠ “is not equal to,” > “greater than,” or < “less than.”.
Since then: Liam can work at most 20 hours a week, but he also needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125.
He Let the Dog walking hours are represented by x and Car wash hours will be represented by y. The inequality will be formed as:
7x + 11y ≥ 125
x+y = 20
When we plot these two equations on the graph, we will get the range for the time from (20,0) and (0,20).
We Suppose that we will take a random point-like (5,15) when we put this value in the inequality, we get the total earning greater than $125.
7x + 11y ≥ 125
7 (5) + 11 ( 15 ) ≥ 125
35 + 165 ≥ 125
200 ≥ 125
Therefore, He has to work between the range (of 20,0) and (0,20) points to earn more than $125.
Mark me as brainlist, thanks me, and rate. Hope it helps you!!!6. Find the distance between points A = (2, 0) and B = (0, 9). Round your answer to the nearest
tenth.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:\approx 9.2 \:\: units [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Using distance formula : - } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(2 - 0) {}^{2} + (0 - 9) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(2) {}^{2} + (- 9) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{ 4 + 81} [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{85} \: \: units[/tex]
[tex]\qquad \tt \rightarrow \: \approx 9.2 \: \: units[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The distance between points A and B is 9.2 units.
We have,
To find the distance between two points (a, b) and (c, d) in a coordinate plane, you can use the distance formula:
Distance = √[(c - a)² + (d - b)²]
In this case, point A is (2, 0) and point B is (0, 9).
Now, plug the values into the distance formula:
Distance = √[(0 - 2)² + (9 - 0)²]
Distance = √[(-2)² + 9²]
Distance = √[4 + 81]
Distance = √85
Now, round the answer to the nearest tenth:
Distance ≈ √85 ≈ 9.2 (rounded to the nearest tenth)
Thus,
The distance between points A and B is 9.2 units.
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What are the solutions to the quadratic equation below in factored form?
(10x + 5)(11x - 44) = 0
= ½, x = 4
0x=
0 x = 2, x = -4
0x = 2, x = 4
○ x = − ½, x = 4
Answer:
D.) x = − ½, x = 4
Explanation:
[tex]\rightarrow \sf (10x + 5)(11x - 44) = 0[/tex]
set the factors to zero
[tex]\rightarrow \sf 10x + 5 = 0, \ 11x - 44 = 0[/tex]
exchange the sides
[tex]\rightarrow \sf 10x = -5, \ 11x = 44[/tex]
exchange the sides
[tex]\rightarrow \sf x = -\dfrac{5}{10} , \ x = \dfrac{44}{11}[/tex]
simplify the following
[tex]\rightarrow \sf x = -\dfrac{1}{2} , \ x =4[/tex]
On solving
x=-1/2 or x=4Please help!!!!!
The equation of a circle is x² + y² – 8x + 10y + 37 = 0. What is the center and the radius of the circle? Show all your work.
Let's take this problem step-by-step:
Let's convert the equation back into the standard form:
⇒ standard form: (x-h)² +(y-k)² = r²
(h, k): center's coordinater: radius[tex]x^2+y^2-8x+10y + 37 = 0\\\rm \hookrightarrow x^2 - 8x + y^2+10y = -37\\\rm \hookrightarrow (x^2 - 8x) + (y^2 + 10y) = -37\\\rm \hookrightarrow (x^2-8x+16) + (y^2+10y+25) = -37 + 16 +25\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 4\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 2^2[/tex]
Based on the equation found
⇒ center: (4, -5)
⇒ radius: 2
Answer:
center: (4, -5)radius: 2Hope that helps!
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Which output in this table is incorrect
Answer:
B
Step-by-step explanation:
This is quite a trial and error question.
Given from the table
$1 cost of item = $0.08 tax on item
$2 cost of item = ($0.08x2) tax on item = $0.16 tax on item
$3 cost of item = ($0.08x3) tax on item = $0.24 tax on item
$8.50 cost of item = ($0.08x8.50) tax on item = $0.68 tax on item
$10 cost of item = ($0.08x10) tax on item = $0.80 tax on item
The only one that is different is the incorrect value therefore $0.64 is the incorrect one.
C
7 cm
D
What is the sum of the areas of circle C and circle D?
O 7π units²
O 14π units²
O49π units²
O 98π units²
Answer:
[tex]98 \pi \:\: \sf units^2[/tex]
Step-by-step explanation:
[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
From inspection of the given diagram, circle C and circle D both have a radius of 7 cm.
Therefore:
[tex]\implies \textsf{Area of circle C}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]
[tex]\implies \textsf{Area of circle D}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]
Therefore, the sum of the areas of circle and circle D is:
[tex]\implies \textsf{Area of circle C}+\textsf{Area of circle D}=49 \pi + 49 \pi = 98 \pi \:\: \sf cm^2[/tex]
The sum of the areas of the circles is 98π units².
The correct option is D.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
The formula for the area of a circle is A=πr², where A is the area and r is the radius.
For circle C, the radius is 7, so its area is A_C = π(7)² = 49π units².
For circle D, the radius is also 7, so its area is A_D = π(7)² = 49π units².
The sum of the areas is therefore:
A_C + A_D = 49π + 49π = 98π units²
Therefore, the answer is (D) 98π units².
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MisterBrainly (also known as Enstine) lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.
Answer: I love the picture example
Step-by-step explanation:
We will first find the heigh of the kite from his hand to a point in the air.
Then, we will add 3 feet to the result.
So, how to find the vertical line of the right triangle?
Well, we have the vertical line = x
We also got the hypothenuse, equal to 100 feet
And also theta, equal to 25 degrees.
We can calculate sine because the sine of 25 degrees = opposite side (the height line) over (divided by) the hypothenuse
sin(25) = x/100 feet
multiply 100 feet on both sides, to cancel to 100 feet on the right side.
100sin(25) = x
100(0.442) = x
x = 42.2 feet
Height = 42.2 + 3 feet (the yoda's hand =) = 45.2 feet (total)
Rounded to the nearest tenth.
I also did the verification, so it is the correct answer.
Easy as that =]]
Height of the kite from 3ft above the ground
[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin25=\dfrac{P}{100}[/tex]
[tex]\\ \rm\Rrightarrow P=100sin25[/tex]
[tex]\\ \rm\Rrightarrow P=42.26\approx 42ft[/tex]
Height from the ground
42+345ft(Rounded)Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
What are Alternate exterior angles?When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
Firstly, ∠1 and ∠7 are alternate exterior angles as shown in the image, now to prove if these two angles will be congruent we can use the below proof.
First Method:
∠1 + ∠2 = 180° {Supplementary angles because both lies on the line q}
∠2 = (180° - ∠1)
Similarly, ∠2 = ∠6 = (180° - ∠1), corresponding angles are equal,
∠6 + ∠7 = 180° {Supplementary angles because both lies on the line r}
∠7 = 180° - ∠6
∠7 = 180° - (180° - ∠1)
∠7 = 180° - 180° + ∠1
∠7 = ∠1
OR
Second Method:
∠1 = ∠3 {Vertical angles formed by intersecting lines q and r}
∠3 = ∠5 {Alternate Interior angles}
∠5 = ∠7 {Vertical angles formed by intersecting lines s and r}
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Can someone please help me
Simplify. Rewrite the expression in the form 9^n9
n
9, start superscript, n, end superscript.
(9^{-3})(9^{12})=(9
−3
)(9
12
)
[tex] {3}^{18n} [/tex]
Answer:
9^10
Step-by-step explanation:
khan
add the following rational number7/-27 and 11/18
Answer:
19/54
Step-by-step explanation:
- 7/27 + 11/18
LCM of the 27, 18 is 54
- 7/27 * (2/2) + 11/18 * (3/3)
- 14/54 + 33/54
33 - 14/54
19/54
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Thankyou guys for all your help….I need help with one more plsss
Round to the nearest tenth
I don't understand your question
A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces that were each
Answer:
i don't know
Step-by-step explanation:
i
Juanita’s boss told her that once she has worked with the company for 10 years, her salary will be increased to 3 times what she makes now plus $2,000. If s represents her original salary, which expression represents what her salary will be after 10 years at the company?
One-third s + 2,000
StartFraction 3 Over s EndFraction + 2,000
3 s + 2,000
2,000 minus 3 s
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Juanita’s salary once she completes 10 years, her salary will be increased to 3 times what she makes now plus $2,000. Now, if her salary is represented by s, then the expression that would represent her salary after 10 years is,
Salary after 10 years = 3s + 2000
Hence, the correct option is C.
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Answer:
C
Step-by-step explanation:
1-sinA+cosA / sinA+cosA-1 = 1+cosA/sinA
Solution:
[tex]\dfrac{\left[\left(\sin ^{2} A+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]\right.}{\left[\left(1-\cos ^{2} A\right)-(1-\cos A)^{2}\right]}[/tex]
[tex]\dfrac{\left[\left(1-\cos ^{2} A\right)+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]}{\left[(1-\cos A)(1+\cos A)-(1-\cos A)^{2}\right]} [/tex]
[tex]\dfrac{(1-\cos A)[1+\cos A+2 \sin A+1-\cos A]}{[1-\cos A][1+\cos A-1+\cos A]} [/tex]
[tex]\dfrac{[2+2 \sin A]}{[2 \times \cos A]}[/tex]
[tex]\dfrac{2(1+\sin A)}{2 \times \cos A}[/tex]
[tex]\dfrac{1+\cos A}{\sin A} [/tex]
Hence Proved.
Find the equation of the parabola with its focus at (6,2) and its directrix y = 0.
Select the correct answer.
Sammile pays $30 for a bag that she buys at a discount of 50% What is the price of the bag without the discount?
O A $30
O B. $45
O C. $60
O D. $80
If 30 is half price, then what is full price?
You can set up this problem like this:
30 = x/2
OR
30 = (1/2)x
where x is the full price.
To solve, simply multiply each half by 2:
2(30) = 2((1/2)x)
x = $60
What is the height of a triangle whose
base is 8.2 centimeters and whose area
is 173.43 square centimeters?
Answer:
42.3cm
Step-by-step explanation:
I think this is right :)
Fully simply 15x^4y^4(−5x^3y^5)
Answer:
[tex]-75x^{7}y^{9}[/tex]
Step-by-step explanation:
Bryan is making a wooden cube to hold his little sister's jewelry. The volumes the cube is
3
512 in ³. What is the length of one side of the jewelry box?
Answer:
8 in
Step-by-step explanation:
Volume of Cube = 512 in³
Formula : -
Volume of cube = side x side x side = side³
512 = 8 x 8 x 8 = 8³
So,
The length of one side of the jewelry box is 8 in.
need help with work would give more points but poor
Answer:
Step-by-step explanation:
2.5
4 quarts per gallon
8 quarts per 2 gallons
2 quarts is half a gallon since 4 quarts is a full gallon
answer: 2.5
Two friends, Vani and Shaquana, took summer jobs. The equation y=28.8xy=28.8x represents Vani's earnings in dollars and cents, yy, for working xx hours. Shaquana earned $653.40 in 33 hours.
How much less per hour does Shaquana earn than Vani?
An equation is formed of two equal expressions. Shaquana earns $10 less per hour than Vani.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation y=28.8x represents Vani's earnings in dollars and cents, y, for working x hours.
y = 28.8x
y/x = 28.8
Hence, Vani is paid $28.8 per hour.
The amount that Shaquana earned was $653.40 in 33 hours. Therefore, per hour she was paid
Amount per hour = $653.40/33 = $19.8 per hour
The difference between the two is,
Difference = $28.8 - $19.8 = $10
Hence, Shaquana earns $10 less per hour than Vani.
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Vani - 28.8
y=28.8x
Vani earns $28.80 per hour.
Shaquana -
653.40 / 33 = $19.80 per hour
Shaquana earns $19.80 per hour.
Vani − Shaquana = $28.80
$28.80−$19.80
=$9
Shaquana earns $9 less per hour than Vani.
Determine the value of y, if x is 81.
Y=/x+6
The value of y for the given equation at x=81 is 87.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Here, given equation;
y = x + 6
Put x = 81, we get
y = 81 + 6
y = 87
Thus, the value of y for the given equation at x=81 is 87.
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A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find, using vectors, the tension in the cables.
The tension in both cables are calculated as; T₁ = 127.63 N and T₂ = 185.48 N
Resolving forces in the y direction gives us;
T₁ sin 29° + T₂ sin 53° = 210 ------(eq 1)
Resolving forces in the horizontal direction gives;
T₁ cos 29° = T₂ cos 53° ----(eq 2)
T₁ = T₂ cos 53°/cos 29°
Thus;
(T₂ cos 53°/cos 29°)sin 29° + T₂ sin 53° = 210
0.3336T₂ + 0.7986T₂ = 210
T₂ = 210/1.1322
T₂ = 185.48 N
Thus;
T₁ = 185.48 cos 53°/cos 29°
T₁ = 127.63 N
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