hari was 7 then which would mean that Anushka was 2. now he is ten and she is five
because you add three more years to each to get present ages
Answer: The present age of Hari is 10 years and that of Anushka is 5 years.
Step-by-step explanation: Given that three years ago, Hari was 5 years older than Anushka and he is now twice as old as she is.
We are to find their present ages.
Let x years and y years represents the present ages of Hari and Anushka respectively.
Then, according to the given information, we have
[tex](x-3)-5=y-3\\\\\Rightarrow x-8=y-3\\\\\Rightarrow x=y+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
and
[tex]x=2\times y\\\\\Rightarrow y+5=2y\\\\\Rightarrow 2y-y=5\\\\\Rightarrow y=5.[/tex]
From equation (i), we get
[tex]x=5+5=10.[/tex]
Thus, the present age of Hari is 10 years and that of Anushka is 5 years.
X2-3x-10=0 jdhdhshsgddhsvsgdhdvs
Answer:
C) (2,-5)
Step-by-step explanation:
Find the area of the trapezoid!!!! PLEASE HELP!!!!
64 ft^2
54✔️3 ft^2
32✔️3 ft^2
48✔️3 ft^2
ANSWER
[tex]32 \sqrt{3} {ft}^{2} [/tex]
EXPLANATION
The area of a tra-pezoid is half times sum of the bases times the vertical height.
From the diagram ( see attachment) we use the Pythagoras Theorem to obtain,
[tex] {x}^{2} + {(4 \sqrt{3}) }^{2} = {8}^{2} [/tex]
[tex] {x}^{2} + 48 = 64[/tex]
[tex]{x}^{2} = 64 - 48[/tex]
[tex]{x}^{2}=16[/tex]
[tex]x = \sqrt{16} = 4ft[/tex]
This implies that , y=10-4=6ft
The area of tra-pezoid
[tex] = \frac{1}{2} (10 + 6) \times 4 \sqrt{3} [/tex]
[tex] = \frac{1}{2} (16) \times 4 \sqrt{3} [/tex]
[tex] = 8\times 4 \sqrt{3} [/tex]
[tex] = 32 \sqrt{3} {ft}^{2} [/tex]
Find the roots of parabola given by the following equation
Answer:
3/2
-3
Step-by-step explanation:
here
Answer:
[tex]x = \frac32, x = -3[/tex]
Step-by-step explanation:
Hello!
We have to solve for x by using the quadratic formula.
Standard form of a quadratic: [tex]ax^2 + bx + c = 0[/tex]
Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
First, convert it into standard form:
[tex]2x^2 + 5x - 9 = 2x[/tex][tex]2x^2+3x - 9 = 0[/tex]Given our equtaion: [tex]2x^2+3x - 9 = 0[/tex]
a = 2b = 3c = -9Plug it into the formula and solve.
Solve[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-3\pm\sqrt{3^2 - 4(2)(-9)}}{2(2)}[/tex][tex]x = \frac{-3\pm\sqrt{9 +72}}{4}[/tex][tex]x = \frac{-3\pm\sqrt{81}}{4}[/tex][tex]x = \frac{-3\pm9}{4}[/tex][tex]x = \frac32, x = -3[/tex]The roots are 1.5 and -3.
Give some examples of trigonometric functions that generate periodic waves.
Answer:
1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) 4. Secant (sec) 5. Cosecant (csc) 6. Cotangent (cot) These functions are used to relate the angles of a triangle with the sides of that triangle.
Step-by-step explanation:
Sine and cosine functions are examples of trigonometric functions that generate periodic waves. These waves can be represented in equations like y = A sin(wt + p) and x(t) = A cos(wt + p), where A is the amplitude, w is the angular frequency, t is the time, and p is the phase shift.
Explanation:Trigonometric functions like the sine, cosine, and tangent functions are often used to generate periodic waves in mathematics and physics. For instance, simple harmonic motion, which is related to alternating cycles in physics, can be represented by sine and cosine functions.
Let's consider the example of a bouncing object on a spring. The object's position over time can be represented by a sine function, resulting in a wave-like pattern on a graph. A sine function generating a periodic wave would look like this: y = A sin(wt + p), where A is the amplitude, w is the angular frequency, t is the time, and p is the phase shift.
Another example is a cosine function that might represent a phase-shifted wave, like this: x(t) = A cos(wt + p). Again, A is the amplitude, w is the angular frequency, t is the time, and p is the phase shift. This function is effectively identical to the sine function but is shifted to the right on the x-axis.
Learn more about Trigonometric Functions and Periodic Waves here:https://brainly.com/question/12502943
#SPJ3
find the mode(s) for the given sample data.
the weights (in ounces) of 14 different apples are shown below.
4.9, 4.6, 5.1, 4.2, 4.8, 4.9, 4.6, 4.3, 4.1, 4.2, 4.9, 4.3, 4.2, 5.4
Answer:
4.9 & 4.2
Step-by-step explanation:
First, we will have to define mode,
“Mode is the most frequently occurring value of the given data.”
The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.
For the above data,
4.9 is repeated 3 times.
4.2 is repeated 3 times.
These both numbers have highest frequency in the data.
So the modes are 4.9 and 4.2 ..
Answer:
So the modes are 4.9 and 4.2
Help ASAP WILL MARK BRAINLIEST THANK YOU!
Answer:
D
Step-by-step explanation:
half of the miles he drove yesterday is (42/2) and +5 because he said five more than half.
hope this helps and is correct!
Answer:
○ D. (42 ÷ 2) + 5
Step-by-step explanation:
Five more than half tells it all. He 42 miles on Monday, then drove 5 more than half:
(42 ÷ 2) + 5
Half means you either multiply by ½, or divide by 2.
I am joyous to assist you anytime.
Ok i need a real math expert to help me with 1,2,or3 questions consider it a challenge diet one to answer gets thanked and is marked brainliest
Step-by-step explanation:
(picture explains)
Hope this helps!
Amber's punch recipe called for 3 quarts of soda and 2 1/2 quarts of fruit juice how many quarts of soda will she need to make 100 quarts of the same punch
i
Step-by-step explanation:
3 quarts of soda + 2½ quarts of fruit juice = 5½ quarts of punch
Writing a proportion:
3 / 5½ = x / 100
5½ x = 300
x = 54 ⁶/₁₁
x ≈ 54.55
Evaluate the expression -5(-2)-3(-4) answer this and you will be famous on tiktok
Answer:
120?
Step-by-step explanation:
-5 times -2 equals 10 (since a negative times negative equals positive)
10 times -3 equals -30
-30 times -4 equals 120
Hope this helps.
Note: this may be incorrect
Answer:
120
Step-by-step explanation:
Select the point that satisfies
y ≤ x^2 - 4x + 2
A) ( 5,5 )
B) ( 2,2 )
C) ( 4,4 )
D) ( 1,1 )
Answer:
A. (5,5)
Step-by-step explanation:
Plug in (5,5) for the x and y values according to the ordered pair. In this case the equation should turn out like this :5 ≤ 5²- 4(5) + 2Simplify the equation : 5 ≤ 25 - 20 + 25 ≤ 7A is the answer because it satisfies the inequality as 5 is less than or equal to seven. Though, in this case it is just less than, but not equal to.Answer:
A) (5, 5)Step-by-step explanation:
Put the coordinates of the points to the inequality, and check:
y ≤ x² - 4x + 2
for (5, 5) → x = 5, y = 5
5 ≤ 5² - 4(5) + 2
5 ≤ 25 - 20 + 2
5 ≤ 7 CORRECT :)
===============================
for (2, 2) → x = 2, y = 2
2 ≤ 2² - 4(2) + 2
2 ≤ 4 - 8 + 2
2≤ -2 FALSE
===============================
for (4, 4) → x = 4, y = 4
4 ≤ 4² - 4(4) + 2
4 ≤ 16 - 16 + 2
4 ≤ 2 FALSE
================================
for (1, 1) → x = 1, y = 1
1 ≤ 1² - 4(1) + 2
1 ≤ 1 - 4 + 2
1 ≤ -1 FALSE
In Death Valley, California, the highest ground temperature recorded was 94°C on July 15, 1972. In the formula C= 5/9 (F - 32) , C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit. To the nearest degree, what is the highest ground temperature in Death Valley in Fahrenheit?
Answer:
[tex]F=201.2\°[/tex]
Step-by-step explanation:
we know that
[tex]\°C=\frac{5}{9}[\°F-32][/tex]
For [tex]C=94\°[/tex]
substitute in the formula and solve for F
[tex]94=\frac{5}{9}[F-32][/tex]
[tex](\frac{9}{5})*94=[F-32][/tex]
[tex]F=(\frac{9}{5})*94+32[/tex]
[tex]F=201.2\°[/tex]
Write the expression as a single logarithm 4 log x-6 log (x+2)
Final answer:
To combine the expression 4 log x - 6 log (x+2) into a single logarithm, we use the exponentiation and division rules for logarithms to obtain log((x^4)/(x+2)^6).
Explanation:
To write the expression 4 log x - 6 log (x+2) as a single logarithm, we can apply log rules.
The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number: log(x^n) = n log x.
The logarithm of a product of two numbers is the sum of the logarithms of the two numbers: log xy = log x + log y.
The logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers: log(x/y) = log x - log y.
Using these rules, we can
rewrite the given expression:
4 log x - 6 log (x+2) can be rewritten as log(x^4) - log((x+2)^6), which simplifies to log((x^4)/(x+2)^6) according to the division rule for logarithms.
The expression [tex]4 log x - 6 log (x+2)[/tex] can be simplified as a single logarithm by using the logarithm properties of exponents and division, resulting in [tex]log(x^4 / (x+2)^6).[/tex]
Explanation:The student is asking to write the expression [tex]4 log x - 6 log (x+2)[/tex] as a single logarithm. To do this, we recall two important properties of logarithms:
The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number: [tex]log(a^n) = n log a.[/tex]The logarithm of the division of two numbers is the difference between the logarithms of the two numbers: [tex]log(a/b) = log a - log b.[/tex]Using these properties, we can rewrite the expression:
First, apply the exponent property: 4 log x becomes log(x^4), and 6 log (x+2) becomes log((x+2)^6).Next, apply the division property:Therefore, the expression [tex]4 log x - 6 log (x+2)[/tex] written as a single logarithm is[tex]log(x^4 / (x+2)^6).[/tex]
What linear equation represents the graph of the line that coincides with the y-axis?
a. x =0
b. y = 0
c. x =3
Answer:
Option b. y = 0
Step-by-step explanation:
we know that
The slope of the line that coincides with the y-axis is equal to zero (horizontal line) and the equation is equal to
y=0
easy 4th grade math 1 Q 20 points whaaaaaaaaaaaaatt
yep ANSWER NOW!!!!!!!!!!!!!!!!!!!
Tessellation is when a shape is repeated without any gaps/ spaces and without overlapping.
The semi circle shape shown cannot be uses because there would be gaps on the inner part of the circle.
Sarah bought 6 pens that each cost the same price and she also bought a package of paper for$1.25.if her total before tax was $10.19 what was the price of each pen?
If you don’t know the tax price/value then you can’t add that on the total amount. So, if we don’t know the value of that we can just forget about it for now.
You do $10.19-$1.25 (to get just the price of the pens) =$8.94
To get the value of one pen just do $8.94 divided by 6 (the total number of pens)=$1.49
$1.49=Price for one pen
Hope this helps :)
3. Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest
tenth
(b) Order the ribbon sizes from least to greatest.
tromont
Answer:
a. 2,2,3,3
b. 1.7 2.2 pi= 3.14 3.4= 2,2,3,3
Step-by-step explanation:
Which employee's path is the critical path on this activity graph? Explain how you know that this employee's path is the critical path.
Answer:
Jim's path is the critical path on this activity graph.
Step-by-step explanation:
Critical Path:
Critical path is the the longest path in the project task paths. It shows the least amount of time in which project can be completed. It can be find by looking at the longest path in the network diagram of the project; not in term of nodes or activities instead in term of days.
In given case:
Path 1 Bill task's total duration= 6 days
Path 2 Jim's task's total duration= 17 days
Path 3 Betty task's total duration= 7 days
Path 4 Cynthia task's total duration= 14 days
Hence the longest path i.e. critical path is of Jim's activity path !
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. At 10:15 a.m., there are 8 cells in the bottle. At what time will there be 64 cells in the bottle?
Answer:
The correct answer is 10:20 and 10:30 on E2020
Hope this helps you!
(p.s please mark me as brainlyest)
Step-by-step explanation:
I just took the test on E2020 and got 100% but if you want the work just ask and I'll explain it to you.
Seth rides the bus to work each day. He spends $2.25 on bus fare. Write an equation to represent the total amount he spent on bus fair for d numbers of days.
Help me please
Fair for one day = 2 × $2.25 = $4.5
Fair for d no. of days = $4.5 × d = $4.5d
HOPE THIS WILL HELP YOU
To represent the total amount Seth spent on bus fare for d days, the equation is Total amount = $2.25 x d. Multiply the cost per day by the number of days to find the total amount spent.
Equation: The equation to represent the total amount Seth spent on bus fare for d days is Total amount = $2.25 x d.
Step-by-step explanation:
Identify the cost per day, which is $2.25.
Multiply the cost per day by the number of days, d, to get the total amount spent on bus fare.
Final equation: Total amount = $2.25 x d.
The area of a circle is represented by 16 x pi. What is the length of a diameter of the circle?
Answer:
Diameter = 8
Step-by-step explanation:
Area of a circle: pi r^2
16 pi = r^2 pi
r^2 = 16
r = 4
And since the diameter is equal to 2r, the diameter is
2(4) = 8
If ABC and GEF are congruent, the value of x is and the value of y is
Answer:
The value of x is 10, and the value of y is 6
Step-by-step explanation:
ABC and GEF are congruent
so
x - 8 = 2
x = 10
x - y = 4
10 - y = 4
y = 10 - 4
y = 6
Answer
x = 10, y = 6
Answer:
x = 10 and y = 6
Step-by-step explanation:
In the given figure ΔABC and ΔGEF are congruent which means all the corresponding sides of the given triangles should be congruent.
So measure of AC = mfg
x - 8 = 2
x = 2 + 8
x = 10
Similarly mBC = mEF
x - y = 4
10 - y = 4
y = 10 - 4 = 6
Therefore, answer are x = 10 and y = 6
1. Complementary Angeles
2. Angel1-37
What is angel 4
3
Angel 1-40
What is angel 5
Answer:
1. D ∠4 and ∠5
2. C 37°
3. A 50°
Step-by-step explanation:
1. Complementary angles are those that add up to 90°.
From the diagram you can see that angles 4 and 5 together form right angle, so angles 4 and 5 are complementary.
2. Angles 1 and 4 are vertical angles. Vertical angles have the same measure, so
∠4=∠1=37°
3. From 1,
∠4+∠5=90°
From 2
∠1=∠4
Since ∠1=40°, then ∠4=40°
So,
∠5=90°-40°=50°
The diagonal of a TV is 28 inches long. Assuming that thia diagonal forma a
pair of 30-60-90 right triangles, what are the exact length and width of the TV?
O
A. 55
inches by 568 inches
O B. 14 inches by 142 inches
O c. 56 inches by 56.5 inches
OD. 14 inches by 14,5 inches
Answer:
Hmm... None of these choices seem to be correct.
Step-by-step explanation:
In 30-60-90 triangles, the length of the shorter leg is half the length of the hypotenuse. In this case, the hypotenuse is the diagonal. So half of 28 is 14. Therefore, the width of the TV is 14 inches. This eliminates answer choices A and C, that would imply the answer is either B or D, but.....In 30-60-90 triangles, the length of the longer leg is [tex]\sqrt{3}[/tex] times the length of the shorter leg. So if we were being exact, the length of the TV is [tex]14\sqrt{3}[/tex] . And if we rounded, the length would be about 24.25. There is no choice in your options that is similar to our conclusions. Maybe you should contact your teacher about this. Have a nice day! :)The exact dimensions of the TV are approximately 14 inches by [tex]14\sqrt{3}[/tex] inches, which simplifies to 14 inches by 142 inches
The correct answer is:
B. 14 inches by 142 inches.
To find the exact length and width of the TV, we can use the properties of a 30-60-90 right triangle. In such a triangle, the side lengths are related as follows: the length of the side opposite the 30-degree angle is [tex]\( \frac{1}{2} \)[/tex] times the length of the hypotenuse, and the length of the side opposite the 60-degree angle is [tex]\( \frac{\sqrt{3}}{2} \)[/tex] times the length of the hypotenuse.
Given that the diagonal of the TV forms the hypotenuse of two 30-60-90 right triangles, let's denote the length and width of the TV as [tex]\( L \)[/tex] and [tex]\( W \)[/tex] respectively, and the length of the diagonal as [tex]\( D \).[/tex]
We have the following equations:
[tex]\[ L = \frac{1}{2}D \][/tex]
[tex]\[ W = \frac{\sqrt{3}}{2}D \][/tex]
Given that the diagonal [tex]\( D = 28 \)[/tex] inches, we can substitute this value into the equations to find the exact length and width:
[tex]\[ L = \frac{1}{2} \times 28 = 14 \text{ inches} \][/tex]
[tex]\[ W = \frac{\sqrt{3}}{2} \times 28 \approx 14\sqrt{3} \text{ inches} \][/tex]
Now, we need to rationalize the denominator for the width:
[tex]\[ W = 14\sqrt{3} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{42}{\sqrt{3}} \][/tex]
To rationalize the denominator, multiply both numerator and denominator by[tex]\( \sqrt{3} \):[/tex]
[tex]\[ W = \frac{42\sqrt{3}}{3} = 14\sqrt{3} \text{ inches} \][/tex]
So, the exact dimensions of the TV are approximately 14 inches by [tex]14\sqrt{3}[/tex] inches, which simplifies to 14 inches by 142 inches. Therefore, the correct answer is B.
Complete question:
The diagonal of a TV is 28 inches long. Assuming that the diagonal form a pair of 30-60-90 right triangles, what are the exact length and width of the TV?
A. 55 inches by 568 inches
B. 14 inches by 142 inches
C. 56 inches by 56.5 inches
D. 14 inches by 14.5 inches
Jim is building a triangle house the length is twice the width of the house
What function describes the perimeter of the house as the function of its width
YOU CAN TRY TO USE THIS FOR YOU ANSWER
L*W*H
two friends spent $55 at the mall. The first friend spent less than the second friend. The difference between the amount each friend spent was $15. to find the amount each friend spent, solve a system of equations using the addition method. What is the next step after writing the system of equations? Find the amount each friend spent.
Answer: first 20 second 35
Step-by-step explanation:
Use substitution to determine which of the following values for y are in the solution set of the inequality:
y + 12 > 34
Check all that are true.
y = 30
y = 20
y = 40
y = 10
Answer:
y = 30 and y = 40
Step-by-step explanation:
All you have to do is add 10 and 12, and see if its is greater than 34. Add the rest of the listed numbers to 12.
The graph of g(x), shown is a vertical shift of the graph of f(x)=2^x. Write the equation for g(x)
Answer:
It's D .
Step-by-step explanation:
The graph of f(x) = 2^x passes through the y axis at (0, 1).
The graph of g(x) passes through (0, 0) so g(x) = 2^x - 1.
Answer:
the equation for g(x) would be 2^x + 1.
-when shifting graph up, use x + ?
-when shifting graph down, use x - ?
-when shifting graph left, use ^(x + ?)
-when shifting graph right, use ^(x - ?)
I hope this helps you!
Find three points that solve the equation x-4y=-18
For this case we must find three points that satisfy the following equation:
[tex]x-4y = -18[/tex]
So:
(-14,1)[tex]-14-4 (1) = - 14-4 = -18[/tex]
(10,7)[tex]10-4 (7) = 10-28 = -18[/tex]
(-30, -3)[tex]-30-4 (-3) = - 30 - (- 12) = - 30 + 12 = -18[/tex]
Answer:
Thus, three points that meet the equation are:
(-14,1)
(10,7)
(-30, -3)
Three points that solve the equation x-4y=-18 are (0, 4.5), (-18, 0), and (-14, 1).
To find three points that solve the equation x-4y=-18, we can choose values for one variable and solve for the other. Here are three points that satisfy the given linear equation:
Let x = 0: Substituting into the equation, we get 0 - 4y = -18, which gives y = 4.5. So, one point is (0, 4.5).Let y = 0: Plugging this into the equation yields x - 4(0) = -18, so x = -18. Thus, a second point is (-18, 0).Let y = 1: Substituting y into the equation, we find x - 4(1) = -18, leading to x = -14. Therefore, a third point is (-14, 1).These points are part of the infinite set of solutions to the linear equation x-4y=-18.
What is the perimeter of ΔABC?
Answer:
20
Step-by-step explanation:
Two tangent segments drawn to a circle from the same point outside the circle are congruent. The two tangents at A measure 2. The two tangents at B measure 5. The two tangents at C measure 3.
perimeter = 2 + 2 + 5 + 5 + 3 + 3
perimeter = 20
Please help right away
Answer:
145
Step-by-step explanation:
The volume of the rectangular prism bin is area of base * height.
Base/top is a square, so area would be 150 * 150 = 22,500
Thus, volume of bin = 22,500 * 210 = 4,725,000
Using volume of sphere formula and given radius of each ball is 16cm, we can say that
Volume of 1 Ball = [tex]\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (16)^3=17,157.28[/tex]
Since, 190% is including the packing, we can take volume of 1 ball (inclusive of packaging) to be 1.9 * 17,157.28 = 32,598.83
How many of this will fit in the bin, we divide bin volume by this:
Number of Balls = [tex]\frac{4,725,000}{32,598.83}=144.94[/tex]
Rounding, we can say that we can fit 145 balls, 2nd answer choice is right.