Answer:
5 years old
Step-by-step explanation:
Kevin= k
Daniel= d
k=d+3k-2=(d-2)*4 ⇒ k-2= 4d-8 ⇒ d+3-2 = 4d-8 ⇒ 3d=9 ⇒ d=3 ⇒ k=d+3=5k=5Answer:
Kevin is 6 now
Step-by-step explanation:
K= D+3
2 years ago K-2 =4 (D-2) plug in D+3 for K
D+3-2=4D-8
D+1 =4D-8 rearrange equation by subtracting D and adding 8
9 = 3D
D =3 so K =6
it’s due at 9am please help whoever helps first gets a brainliest and everyone gets a thank you
Answer:
Step-by-step explanation:
10) 4x+12
11) 7x+28
12)2x+16
13)9x+54
14)3x+33
15) 5x+35
16) 6x+24
17)8x+72
18) 4x+20
Solve the following equations.
28÷x+4=11
Answer:
x=-28/3
28/x=1-4
28/x=-3
28=-3x
-28/3=x
switch them around and that's your answer.
Answer:
x = 4
Step-by-step explanation:
28÷x+4=11
28/x + 4 = 11
Subtract 4 from each side
28÷x+4-4=11-4
28 / x = 7
Multiply each side by x
28/x * x = 7x
28 = 7x
Divide each side by 7
28/7 = 7x/7
4 =x
A square has a side length of 4a. One dimension is decreased by 5 and the other dimension is decreased by 5. Expand and simplify the expression that represents the area of the resulting rectangle
Answer:
[tex]Area= 16a^2-40a+25[/tex]
Step-by-step explanation:
given that the side of the square is 4a
The expression for the area can be solved by
1. subtracting 5 from the sides of the square i.e (4a-5)
2. Solving for the area of the square using
[tex]Area= l^2[/tex]
[tex]Area= (4a-5)^2\\Area= (4a-5)(4a-5)\\[/tex]
opening the bracket and expending we have
[tex]Area= 16a^2-20a-20a+25\\Area= 16a^2-40a+25[/tex]
the expression is [tex]Area= 16a^2-40a+25[/tex]
On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2). What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)
Answer:
(3,4)
Step-by-step explanation:
if the original is (-3,4) and its a reflection over a vertical line that's the y-axis, the x would become opposite, which would mean -3 becoming 3.
Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)
Images that are reflected are mirror images of each other. The coordinate (x, y) reflected over the y-axis will have the resulting coordinate at (-x, y).
Note that reflecting over the y-axis negates the x-coordinate point while the y-coordinate stays the same.
Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)
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How to estimate 55 percent of 64?
Answer: 35.2
Step-by-step explanation: To estimate 55 percent of 64, you could round the 55 to 50 percent, and just find half of 64, which is 32. After this, because you only have 5 percent left over, you can take the number you got from 50% of 64 and move the decimal over one place to make it 3.2. Just add that number to 32 and you’ll get your answer.
An equivalent expression for sin x is?
(please answer with steps)
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
That is the angle on the right side is half the angle on the left, thus
sinΘ = 2sin([tex]\frac{1}{2}[/tex] Θ )cos([tex]\frac{1}{2}[/tex]Θ ) → b
Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 2, 1.3, 4.2, 7.3, 8.9. What is the residual value when x = 4?
Answer:
The residual value when x = 4 is 0.58
Step-by-step explanation:
The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:
[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]
The residual value is:
[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]
The residual value when x = 4 is 0.58
Functions are written in terms of variables. The residual value when the value of x is 4 is 0.58
Table and valuesFunctions are written in terms of variables. Given the following function that represent the data in the table
y = 2.78x – 4.4
If the value of x is 4, the corresponding value of y is expressed as:
y = 2.78(4) – 4.4
y = 11.12 - 4.4
y = 6.72
Determine the residual value
Residual value = 7.3 - 6.72
Residual value = 0.58
Hence the residual value when the value of x is 4 is 0.58
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Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2) On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).
The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5
The function is given as:
[tex]g(x) = 2^{x - 1} + 3[/tex]
Set x = 0, to calculate the y-intercept
[tex]g(0) = 2^{0-1} + 3[/tex]
Simplify the exponent
[tex]g(0) = 2^{-1} + 3[/tex]
Express 2^-1 as decimal
[tex]g(0) =0.5 + 3[/tex]
Add 0.5 and 3
[tex]g(0) =3.5[/tex]
This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5
Also, the graph of g(x) has a horizontal asymptote at y = 3.5
Read more about exponential graphs at:
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Answer:
3 graph
Step-by-step explanation:
If 3 inches represents 20 miles how many inches does 50 miles represent
Answer:
Step-by-step explanation:
if 3=20
then ?=50
if more less divide
50/20 *3 =7.5
Answer:
7.5 inches
Step-by-step explanation:
We can use ratios to solve
3 inches x inches
---------------- = --------------
20 miles 50 miles
Using cross products
3 * 50 = x * 20
150 = 20x
Divide by 20
150/20 = x
7.5 inches
evaluate h-2g for h = 4 and g =32
Answer:
60
Step-by-step explanation:
To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:
[tex]4-(2)(32)\\4-64\\60[/tex]
Answer:
Step-by-step explanation:
h=4
g=32
2*32=64
h-2g= -60
3 s (4 + 6) 2 is an example of
Answer:
It's an example of an numerical expression
Answer:
It's an example of an numerical expression
If there are answer choices, check if this one is on there!
If not, doggo sucks :(
I need help with this question please.
Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
Need help with this problem! ASAP!
Answer: B .128 in^3
Step-by-step explanation:
The question is asking for the volume of the figure so multiply the length times the width times the height.
v= 8.2 * 4 * 3.9
v= 127.92 which rounds to 128.
The measure of each interior angle of a regular polygon can be expressed as x-5 and the number of sides by 10x. Determine the following the number of degrees in each exterior angle
Answer:
0.1948° in each exterior angle
Step-by-step explanation:
The exterior angle measure is 360° divided by the number of sides. Here, that is 10x, so the exterior angle is ...
360°/(10x) = 36°/x
The measure of the interior angle is the supplement of the exterior angle, so we have ...
x -5 = 180 -(36/x)
x(x -5) = 180x -36 . . multiply by x
x^2 -185x = -36 . . . . . subtract 180x
x^2 -185x +8556.25 = -36 +8556.25 . . . . complete the square
(x -92.5)^2 = 8520.25
x -92.5 ≈ ±92.3052
x ≈ 184.8052 or 0.19480
It does not make any sense for the number of sides to be 10·0.1948 = 1.948, so we assume the number of sides is 184.8052·10 = 1848.
Then the number of degrees in each exterior angle is ...
36°/184.8052 = 0.1948
PLEASE HURRY IM TIMED ASAP WILL MARK BRAINLIEST
Which of the following are solutions to x > 5? (Check all that apply.)
8
5.2
5
0
6.7
82
Answer:
8,5.2,6.7,82 sorry i had to hurry up
Answer:
8
5.2
6.7
82
Step-by-step explanation:
all that are bigger than 5
(would really, reallly appreciate the brainliest)
In the diagram below, AngleDAB and AngleDAC are adjacent angles.
Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees.
If mAngleDAC = 25°, what is mAngleDAB in degrees?
What is mAngleBAC in degrees?
Answer:
it is 80 degrees for first and then 105 degrees for second
Step-by-step explanation:
The measure of ∠BAC is 105°.
Given that, ∠DAC=(x-20)°=25° and ∠DAB=(2x-10)°.
What are adjacent angles?The two angles are said to be adjacent angles when they share the common vertex and side.
Now, ∠DAC=(x-20)°=25°
⇒x=45°
So, ∠DAB=(2x-10)°=80°
Then ∠BAC=∠DAC+∠DAB=25°+80°=105°
Therefore, the measure of ∠BAC is 105°.
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in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts. give your answer in the form 1:n
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
Find the GCF of these monomials, 20x, 18y
Answer:
2
Step-by-step explanation:
[tex]20x = 2 \times 2 \times 5 \times x \\ \\ 18y = 2 \times 3 \times 3 \times y \\ \\ common \: factor = 2 \\ \therefore \: GCF \: of \: 20x \: and \: 18y = 2[/tex]
solve it (3+2) ^2 -7 =
Answer:
18
Step-by-step explanation:
PEMDAS
(3+2)=5
5^2=25
25-7=18
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish
Step-by-step explanation:
So make the variables.
Hungarian = x
Polish = y
x and y are the amount of time she spent in minutes.
x + y = 5
150x + 270 = 190y
x = 5 - y
750 - 150y + 270 = 190y
1020 = 340y
y = 3
x = 2
ACORDING OT THE IMAGE, WHATS THE ANSWER????
HURRY 30 POINTS BRAINLIEST!!!
Answer:
231 cubed centimeters
Step-by-step explanation:
Find the area of the base of the pyramid
18 x 7=126 divided by 2= 63 cm
Next, make sure to the remember the formula is [tex]V=\frac{1}{3} BH[/tex]
1/3(63)(11)=
21(11)=231
231 cubed centimeters is the answer.
Answer:
231 cubed centimeters
Step-by-step explanation:
The formula:
1/3(63)(11)=
21(11)=231
When the boat has traveled 7 meters, the height
of the barnacle is approximately:
-1 m
-0.657 m
0.657 m
1 m
Answer:
-0.544m
Step-by-step explanation:
The height of the barnacle is approximately is, 0.657 meters.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Graph y = sin(x)
Boat travel= 7m
Now,
Let y be the height of the barnacle and x be the distance the boat has traveled
i.e, x = 7 meters
to find the height y :
Substitute the value of x =7 meters in [1] we have;
y = sin(7)
≈0.657.
Therefore, by algebra the answer will be 0.657 meters.
More about the Algebra link is given below.
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how can you tell what radius is
Answer:
The radius is a line going from the center to the side of the the circle
Answer:
The radius of a circle is the length of the line from the center to any point on its edge. (basically its half a line going through a 180° circle)
Step-by-step explanation:
a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter.
heres an example of what a radius looks like:
hope this helped!
Someone help me with this plz
Answer:
A
Step-by-step explanation:
The picture is how you solve it
Answer:
V =904.7786842 m^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 12 so the radius is d/2 = 12/2 = 6
V = 4/3 pi 6^3
V = 288 pi
Let pi = 3.14
V =904.32
If we use the pi button
V =904.7786842
4x3 + 10x² - 6x?
Completely factored
Answer:
2x( 2x-1) (x+3)
Step-by-step explanation:
4x^3 + 10x² - 6x
Factor out 2x
2x( 2x^2 +5x -3)
Factor inside the parentheses
2x( 2x-1) (x+3)
Answer:
2x(2x-1)(x+3)
Step-by-step explanation:
4x³ + 10x² - 6x
4x³ = 2x²×(2x)10x² = 5x×(2x)6x = 3×(2x)here 2x is a common factor then we can pull it out:
4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)
= 2x(2x² + 5x - 3)
= 2x(2x-1)(x+3)
2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.
ANSWER ASAP Choice 1 Choice 2 Choice 3 Choice 4
Answer: a, -1/2x-6=y
Step-by-step explanation:
question is attached
Answer:
31
Step-by-step explanation:
The two angles are equal so
8x-1 = 5x+11
Subtract 5x from each side
8x-5x-1 = 5x-5x+11
3x -1 =11
Add 1 to each side
3x -1+1 = 11+1
3x = 12
Divide by 3
3x/3 = 12/3
x= 4
We want to find
WZY
WZY = 5x+11
= 5(4)+11
=20+11
=31
What is the solution to this equation?
х
5
= 30
O A. x= 35
B. x= 25
C. x = 150
O D. x = 6
Answer:
D
Step-by-step explanation:
if u said 5x=30 then its D
Answer:D
Step-by-step explanation:6 x 5 equals 30
WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the following image and use them to answer the questions below. is a right triangle and trapezoid is isosceles. Do NOT use the law of cosines, use our knowledge from the content of this course. a. Describe how to find the lengths of segments and . Show your answers for this question. Explain how you can be confident your calculations are correct. b. Describe how to find the angle measures of and . Explain how you can be confident your calculations are correct. c. Are there any segments or angles you can’t calculate based solely on the information in the image? Why? d. If we drew a median into trapezoid and the given measurement of that median was 21.425, would that change your answer for part c of this question?
This is an isosceles trapezoid, because the two angles are supplementary on the right side.
y is 25 based on the Pythagorean theorem
w is sqrt (850)=29.15
z must be 15
Making a right triangle to look at the altitude
cos 59=a/15, so a is 7.73 between the right corner and the edge of x
That means x is 29.15-2(7.73)=13.69
=============
The median should be half way between 13.69 and 29.15
That is half their sum, or half of 42.84 or 21.42
That doesn't change the answer above
Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.
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What is the total surface area of this prism?
Answer:
Step-by-step explanation:
let us calculate area of pentagon.
it consists of 5 isosceles triangles with base=5 cm
apothem h=3.6 cm
area of pentagon=5×1/2×5×3.6≈45 cm
area of 2 pentagons (top and bottom)=2×45=90 cm²
lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²
Total surface area=90+300=390 cm²