Answer:
34.44 or 34 11/25
Step-by-step explanation:
4 1/5 ⋅ 8 2/10 = ?
21/5 ⋅ 82/10 = ?
21/5 ⋅ 41/5 = 861/25
861/25 = 34 11/25 or 34.44
The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches what’s the triangles width?
Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ
Step-by-step explanation:
Which of the following functions represent exponential decay?
An exponential decay function goes down to the right, like in the picture attached.
An exponential function follows this format: [tex]y=ab^x[/tex], where b is less than 1 and more than 0. b is more than 0 but less than 1 in function A.
What type of function is represented by the following graph:
(a) Linear
(b) Quadratic
(c) Absolute Value
(d) Exponential
Answer:
b) quadratic
Step-by-step explanation:
Answer:
b. quadratic
Step-by-step explanation:
it makes the shape of a parabola
hope this helps
342225 square root by division method pls give the steps
Answer:
185 is the square root of 34225
Step-by-step explanation:
hope you understood!!
Please hurry I will mark you brainliest
The length of a rectangle is 5 less than 4 times the width. The perimeter is 136 m. Determine the dimensions of the rectangle. Write an equation and the “let statements”
Answer:
l = 14.6 m
b = 53.4 m
Step-by-step explanation:
Let breadth be x
Let lenght be 4x-5
so,
perimeter = 2(l+b)
136 = 2(4x-5+x)
or, 136 = 2(5x-5)
or, 136 = 10x - 10
or, 136 + 10 = 10x
or, 146 = 10x
or, x = 146/10
so, x = 14.6 m
so, breadth(x) = 14.6
so, lenght = 4x - 5
= (4×14.6)-5r
= 53.4m
How much water should be added to 90ml of 45 percent acid solution to dilute it to 25 percent acid solution
Answer:
72 ml
Step-by-step explanation:
Let
x = amount of water that should be added
45% acid solution = 45/100 = 0.45
25% acid solution = 25/100 = 0.25
The equation is
90(0.45) = 0.25(x + 90)
40.5 = 0.25x + 22.5
40.5 - 22.5 = 0.25x
18 = 0.25x
Divide both sides by 0.25
x = 18/0.25
= 72
x = 72 ml
The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)
Answer:
[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]
Step-by-step explanation:
Vertex is the minimum or maximum point of parabola
Vertex of parabola is (h,k)
Therefore, from given graph (-3,-2) is the lowest point.
Vertex of parabola is at (-3,-2).
Standard equation of parabola
[tex]y-k=a(x-h)^2[/tex]
Substitute the values
[tex]y-(-2)=a(x-(-3))^2=a(x+3)^2[/tex]
[tex]y+2=a(x+3)^2[/tex]
(-1,0) lies on the parabola.
Therefore, it satisfied the equation of parabola.
[tex]0+2=a(-1+3)^2=4a[/tex]
[tex]a=2/4=1/2[/tex]
Now, using the value of a
[tex]y+2=1/2(x+3)^2=1/2(x^2+6x+9)[/tex]
[tex]y+2=\frac{1}{2}x^2+3x+\frac{9}{2}[/tex]
[tex]y=\frac{1}{2}x^2+3x+\frac{9}{2}-2[/tex]
[tex]y=\frac{1}{2}x^2+3x+\frac{9-4}{2}[/tex]
[tex]y=\frac{1}{2}x^2+3x+\frac{5}{2}[/tex]
By comparing with
[tex]y=ax^2+bx+c[/tex]
We get
[tex]a=\frac{1}{2}, b=3, c=5/2[/tex]
[tex]a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}[/tex]
[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]
Find the solutions to the equation below.
Check all that apply.
2x^2 + 1-1x + 5 = 0
Answer:
Step-by-step explanation:
The trick here is that the equation factors.
y= 2x^2 + 11x + 5
y = (2x + 1)(x + 5)
So either
2x + 1 = 0 subtract 1 from both sides
2x = - 1 divide by 2
2x = -1/2
or
x + 5 = 0 Subtract 5 from both sides
x = - 5
Answer: B and D
Complete the similarity for the two triangles shown.
Triangle ABC
Answer:
triangle EFD
Step-by-step explanation:
Can someone help me solve this please!
I am willing to give brainliest too the person who helps the most
Part A
The function y = -16x^2 + c represents the height of the ball at time x
We're told the building is 64 ft tall (roughly 6 stories), so c = 64
That means the function updates to y = -16x^2 + 64
The graph is shown below. Some points of interest on the graph are
(0, 64) ... y intercept(0.5, 60) (1, 48)(1.5, 28)(2, 0) ... x interceptPlot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.
For example, if you plugged in say x = 1, then,
y = -16x^2 + 64
y = -16*1^2 + 64
y = -16 + 64
y = 48
Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.
=========================================================
Part B
From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.
The ball hits the ground at 2 seconds (ie the ball is in the air for 2 seconds).
There's not much in terms of steps or explanation here because much of that was already done.
what is 8/9 divided 2/3
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Copy dot flip
8/9 * 3/2
Rewriting
8/2 * 3/9
4 * 1/3
4/3
A camera has a list price of $ 869.99 before tax. If the sales tax rate is 9.5 % , find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary
Calculate the axis of symmetry in the equation Y = (x+1) (x-4)
Come on anyone please helppppppp.
Answer:
Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points
x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation
y=(x+1)(x-4)
=x^2-3x-4
a is 1,b is -3 and c is -4
x= -(-3)/2(1)
=1.5
and y=x^2-3x-4
=1.5^2-3(1.5)-4
= -6.25
therefore the axis of symmetry is (1.5,-6.25)
I hope this helps
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
the axis of symmetry is x=2
HELPPP ME OUTTTT!!!!!
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.
[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{13}{36}[/tex]
[tex]=0.36111[/tex]
[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]
[tex]\theta \approx 21.17[/tex]
[tex]\theta \approx 21^{\circ}[/tex]
Therefore, measure of the unknown angle is 21°.
Write an equation of a line containing a point (5, 5) and is perpendicular to
the line passing through (5, 3) and (10, 6).
A) X/4 + 3y = 10
B) -5 X + 3 Y = 40
C) 5x + 3 Y= 40
D) X + y = 0
FOR EASY BRAINLIEST!!! ANSWER ONLY:
7.
8.
9.
10
Answer:
7) 12,000
8) 0.0004253
9) -11/6 < x < -2/3
10) all possible numbers
Prove that the circumcenter of a triangle is equidistant from its vertices.
Answer:
Step-by-step explanation:
The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)
Which of the following statements is false?(N=natural numbers)
Answer:
yes N = natural number it's correct what I need to ask
Instructions: Find the measure of the indicated angle to the nearest
degree.
?
?
3
7
?
Answer:
x = 23
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 3/7
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 (3/7)
?=23.19859
To the nearest degree
x = 23
I need this so badd will give brainliestt
Quadruple of a number is decreased by twenty gives four.
answer it pls pls
Answer:
[tex]4x - 20 = 4[/tex]
Step-by-step explanation:
Let the missing number be x
Quadruple means 4 times
So According to the question,
4x - 20 = 4 is your answer
Hope this helps
The difference in hour between full-time and part-time who work 5 hours a day is 2 working hours. How many hours per day do full-timers work?
Answer:
7
Step-by-step explanation:
The part timer works 5 hours a day
the difference between the part timer and fill time is 2
5+2=7
Which ordered pairs are solutions to the inequality y−3x
Which of the following are not Polynomials?
Answer:
E. is not a polynomial
Step-by-step explanation:
Because the degree of x is 2/5 which is not a polynomial.
Answer:
hmmm....
I don't think any of them are ????
[tex]\sqrt{2} = 2 ^{1/2}[/tex] that is a exponent that is a fraction ......
it appears that all the answers have fractional exponents, negative exponents, or divide by a variable??
Step-by-step explanation:
Polynomials cannot contain division by a variable.
For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.
Polynomials cannot contain negative exponents.
You cannot have 2y-2+7x-4. Negative exponents are a form of division by a variable (to make the negative exponent positive, you have to divide.) For example, x-3 is the same thing as 1/x3.
Polynomials cannot contain fractional exponents.
Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.
A tanker company has
transported 3.788 x 107 tons
of pineapples during its first
ten years of operation and
expects that total amount to
increase by 25% during the
next ten years.
Which measure
represents the total number of
tons of pineapples that the
company expects to transport
during the next ten years?
A 28.788 X 107 tons
B 9.47 x 106 tons
C 4.735 X 107 tons
D 4.038 X 107 tons
Answer:
c
Step-by-step explanation:
107 x 3.778 x 125/100 = 4.735 x 1-7
Trucker's Heaven Diner uses hundreds of plates, glasses, and cups each day. The dishwashers start a new load of dishes every 1 1/4 hours. If the dishwashers work for 10 hours . How many loads off dishes do they wash in that time?
A: 1/2
B: 8
C: 8 3/4
D: 12 1/3
Answer:
B: 8
Step-by-step explanation:
we are given two numbers which we can use to help solve this problem
A: the number of hours the dishwasher is being used
B: how long it takes the dishwasher to do each load
using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.
10 / 1.25 = 8
Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.
Answer:
1. Angle Addition Postulate/Theorem
2. 90°
3. m<AOC; Vertical Angles
4. 90°; 110°
5. 20°
Step-by-step explanation:
1. m<DOB = m<DOE + m<BOE (Reason: Angle Addition Postulate/Theorem)
2. m<DOB = 90° + x (Reason: Substitution)
Note: m<DOE is a right angle.
3. m<DOB = m<AOC (Reasons: Vertical Angles)
4. 90° + x = 110° (Reasons: Substitution)
5. x = 20° (Reasons: Algebra)
Note how we got 20° by applying algebra:
90° + x = 110°
Subtract 90° from both sides
90° + x - 90° = 110° - 90°
x = 20°
What is the rate of change of the amount earned with respect to hours worked for this function?
A) 1/13 hours per dollar
B) 2/5 hours per dollar
C) 3 dollars per hour
D) 13 dollars per hour
The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.
What is rate of change?The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x₂, y₂)
Point b = (2, 26) = (x₁, y₁)
Calculating the gradient or slope :
Rate of change = (y₂ - y₁) / (x₂ - x₁)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
Rate= 13 dollars per hour
Learn more about rate of change on:
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Complete question
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
Please help! Use Pythagorean theorem to find perimeter
Answer:
18 units.
Step-by-step explanation:
A classic right triangle is the 3, 4, 5 triangle. Essentially, 3^2 + 4^2 = 5^2 . Otherwise known as, 9 +16 = 25. With that said, there are two of those that we can make by drawing horizontal lines along the grid. We also know from counting the two vertical sides are each 4 units. To summarize, two sides are 5 units and two are 4 units. We add them together, 5 + 5 + 4 + 4 = 18