how do you know where to put the decimal point in problem 6?
6. 4 × 1.18
Answer:
just do 64 * 118 = 7552
count the decimal points in BOTH the items 1 for the 6.4
and 2 in the 1.18 1+2 = 3
so starting from the right move in "3" positions and
put a decimal point
7.552
Step-by-step explanation:
Rewrite the sentences below to make them more concise. During that time period, many car buyers preferred cars that were pink in color and shiny in appearance.
Answer:
Pink, shiny cars were preferred by buyers at that time
Step-by-step explanation:
Rewriting the sentence, removing unnecessary words
** I need help for this one***
Answer:
60
Step-by-step explanation:
the two angles are equal angle x and the one opposite
=180-40
=120 ÷2
=60
Answer is
z = 70
x = 70
Step-by-step explanation:
z is also equal to x because two sidess are equal
40 + x + x =180
40 + 2x = 180
2x = 140
x =70
so x and z are 70 each
the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?
Answer:
13 feet
Step-by-step explanation:
the width = 234/18 = 13 feet
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me! I'll mark u as the brainliest
Given:
The function is:
[tex]f(x)=-2x^2+7x+4[/tex]
To find:
Express the quadratic equation in the form of [tex]f(x)=a(x-h)^2+k[/tex], then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
[tex]f(x)=-2x^2+7x+4[/tex]
It can be written as:
[tex]f(x)=-2\left(x^2-3.5x\right)+4[/tex]
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
[tex]f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4[/tex]
[tex]f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+6.125+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=-2,h=1.75,k=10.125[/tex]
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry : [tex]x=1.75[/tex]
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is [tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex], the maximum value is 10.125, the axis of symmetry is [tex]x=1.75[/tex] and the maximum point is (1.75,10.125).
plz help me find the answers
Answer:
Correct answer B 130
Step-by-step explanation:
<FAE=90
<AFE=40
We have a triangle, so <FEA= 180-90+40=50
<FEA+FEB= 18-, so 180-50=130
AB parralel to CD then <ECD=130
8.a. Simplify: 10a+46-(3a+2b)
10a+46-(3a+2b)
= 10a + 46 - 3a - 2b
= 7a - 2b + 46
Find the standard form for the equation of the line which passes through the point (10, 53) and which has a y-intercept of — 3.
Answer:
Step-by-step explanation:
eq. of line with slope m and intercept 3 is
y=mx+3
∵ it passes through (10,53)
53=10m+3
10m=53-3=50
m=50/10=5
y=5x+3
so standard form of eq. is
5x-y+3=0
or
5x-y=-3
Help me with this problem
Answer:
x = 30
Step-by-step explanation:
If A parallel to B , then
2x and 4x are same- side interior angles and sum to 180° , that is
2x + 4x = 180
6x = 180 ( divide both sides by 6 )
x = 30
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
2/3.
Step-by-step explanation:
.
Answer:
Solution given:
the relationship between perpendicular and base is given by tan angle
Tan 60=opposite/Adjacent
[tex]\sqrt{3}[/tex]=x/3
x=[tex]3\sqrt{3}[/tex]
The value of x is [tex]3\sqrt{3}[/tex]
Really struggling with these problems please help!
Solve.
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
Answer:
[tex]y_1 = -2[/tex] and [tex]y_2 = 4[/tex]
Step-by-step explanation:
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
Move the constant to the right-hand side and change their sign.
[tex] \sqrt{10y + 24} = y + 1 + 3 [/tex]
combine like terms
[tex] \sqrt{10y + 24} - 3 = y + 4[/tex]
Square both side to remove square brackets.
10y + 24 - 3 = y²+ 8y + 16
Move the expression to the left-hand side and change its sign.
10y + 24 - y² - 8y - 16 = 0
Combine like terms
10y - 8y + 24 - 16 - y² = 0
2y + 8 - y² = 0
Use commutative property to reorder the terms.
-y² + 2y + 8 = 0
Change the sign of expression.
y² -2y -8 = 0
split -2y
y² + 2y - 4y - 8 = 0
Factor out y from the first pair and -4 from the second equation.
y ( y + 2 ) - 4 ( y + 2 ) = 0
Factor out y+2 from the expression.
( y + 2 ) ( y - 4)
When the products and factors equals 0, at least one factor is 0.
y + 2 = 0
y - 4 = 0
Solve for y
y = -2
y = 4
When we plug the both solution as y we found that both is true solution of this equation.
This equation has two solutions which are -2 and 4.
Answer:
Solution given:
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
keep the constant term in one side
[tex] \sqrt{10y + 24} =y+1+3[/tex]
solve possible one
[tex]\sqrt{10y+24}=y+4[/tex]
now
squaring both side
[tex](\sqrt{10y+24})²=(y+4)²[/tex]
10y+24=y²+8y+16
taking all term on one side
10y+24-y²-8y-16=0
solve like terms
8+2y-y²=0
doing middle term factorisation
8+4y-2y-y²=0
4(2+y)-y(2+y)=0
(2+y)(4-y)=0
either
y=-2
or
y=4
y=-2,4
Solve the following system of equations algebraically.
y=2x-12
y=x+22+3
Answer:
x=37
Step-by-step explanation:
because
y=y
or as, 2x-12=x+22+3
or as, 2x-x=12+22+3
or as, x = 37
What is the system of equations shown in the graph
Answer:
D)
y = - x + 1
y = -1/4 +2
Step-by-step explanation:
The equation of a linear graph: y = mx + b
The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.
The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2). So the equation would be y = - 1/4x + 2.
Write down five numbers so that:the mean is 6,the median is 5 and the mode is 4
Answer:
4 , 4 , 5 , 6 , 11
Step-by-step explanation:
Mode = 4
So at least two times 4 should be there in the data.
And median is 5. So the middle term ( 3rd term} should 5.
Let x and y be the 4th term and 5th term
Data set:
4 , 4 , 5 , x , y
Mean =6
[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]
4+4+5 +x + y = 6*5
13 + x + y = 30
x + y = 30 - 13
x + y = 17
x ,y can be any numbers that sum up to 17.
x , y can be 10 , 7 or 6, 11
Data set: 4 , 4 , 5 , 6, 11
they help me ? is the last someone please
10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing
find the value of x in each case
Step-by-step explanation:
180-(90° +32°)
180- 122= 58
triangle =180°
180° - (58° +58°)
180° - 116°= 64°
Answer:
x=64
Step-by-step explanation:
∠A = 180-(90°+32°)
=> ∠A=180-122= 58
Angle sum property in Triangle=180°
=> x = 180° - (58°+58°)
=> x = 180° - 116°= 64°
A rectangle has a perimeter of 46 cm with a length of 12 cm. What is its width
Answer:
11 cmStep-by-step explanation:
Given:
Perimeter = 46 cm
Length = 12 cm
To Find:
Width = ?
Solution:
Perimeter of Rectangle = 2( l + b)
We know the value of length
So, we can express this as a linear equation,
[tex]2(l + b) = 46 \\ 2(12 + b) = 46 \\ 24 + 2b = 46 \\ 2b = 46 - 24 \\ 2b = 22 \\ b = \frac{22}{2} \\ b = 11[/tex]
So therfore, the width/breadth of the rectangle is 11.
A company makes steel rod shaped like cylinders. Each rod has a radius of 4 cm and a height of 30 cm. How much steel will the company need to make 113 rods
Answer:
Bob and Charlotte are raising their grandchildren after their daughter dies.The children are moved from California to a farm in Nebraska. The three children are struggling with school, life on a farm and their mother’s death. Sam is having trouble working with his son and new ideas for the farm. Charlotte doesn’t want to make the same mistakes she made with her own children.Their faith and help from friends help. The one thing that stood out was how overworked Charlotte is with no help or time to herself.
the question please i need help
Answer:
90g strawberry jelly
6 sponge fingers
315ml custard
135g tinned fruit
Step-by-step explanation:
----------------------------------------
Since those ingredients that are in the question say making a trifle for four people, let's divide each ingredient by four to find the ingredients for one person, and multiply by 3 to find the ingredients for 3 people.
So,
[tex]120/4=30[/tex]g strawberry jelly
[tex]8/4=2[/tex] sponge fingers
[tex]420/4=105[/tex]ml custard
[tex]180/4=45[/tex]g tinned fruit
There are the ingredients to make a trifle for one person.
-------------------->>>>
Now, let's multiply each of the ingredients for one person and multiply that by three to find the ingredients needed to make a trifle for four people.
[tex]30*3=90[/tex]g strawberry jelly
[tex]2*3=6[/tex] sponge fingers
[tex]105*3=315[/tex]ml custard
[tex]45*3=135[/tex]g tinned fruit
These are the ingredients needed to make a trifle for three people.
----------------------------------------
Hope this is helpful.
The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
Answer:
Age of Raju = 12
Age of Ravi = 16
Step-by-step explanation:
Let the Ages of Raju and Ravi be 3x and 4x years
According to question, [tex]\frac{3x+4}{4x+4}[/tex] = [tex]\frac{4}{5}[/tex]
⇒ 5(3x+4)=4(4x+4)
⇒ 15x+20 = 16x+16
⇒ 15x−16x=16 - 20
⇒ −x = −4
⇒ x = 4
Age of Raju = 3 × 4 = 12
Age of Ravi = 4 × 4 = 16
HOPE IT HELPS!!
Answer:
raju=16 years
Ravi=20 years
Step-by-step explanation:
raju =4×4=16
Ravi=5×4=20
9m(4m – 3n) – (5m – n)2
A 11m2
– 17 mn – n2
B 11m2
– 37 mn + n2
C 34m2
– 17 mn – n2
D 34m2
– 37 mn + n2
Answer:
[tex]36m {}^{2} - 27mn - 10m + 2n[/tex]
Step-by-step explanation:
Use distributive law.
Work with one bracket at a time.
Watch out for the signs!
Please help i have exam tom.
Answer:
Step-by-step explanation:
this is a simultaneous equation question
f(1)=8 so a(1) + b = 8
f(4)=17 so a(4) + b = 17
can you figure this out from here ???
if you can't below is how to solve it
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a + b = 8
4a+b=17
multiply the top equation by 4 and then subtract the bottom one from the top
4a+4b = 32
-(4a +b = 17)
3b = 15
b=5
now plug 5 into the first equation
a + 5 = 8
a=3
there you go :)
9/5C + 32 =59
I'm stuck on how to do this .. please help
Answer:
C= 15
Step-by-step explanation:
[tex] \frac{9}{5} C + 32 = 59 [/tex]
subtracting 32 from both sides
[tex] \frac{9}{5}C = 59 -32 [/tex]
[tex] \frac{9}{5} C = 27[/tex]
Dividing both sides by 9/ 5
[tex]C = 27 \times \frac{5}{9} [/tex]
[tex]C = 3 \times 5[/tex]
[tex]C = 15[/tex]
Which graph is a many-to-one function?
Answer:
b
Step-by-step explanation:
Answer:
The one that looks like a letter U
What is the range of the function f(x)=3/4 (x) -3
The function f(x)=3/4 (x) -3 is a straight line,
so the range of the function is (-∞,∞)
Answered by GAUTHMATH
3. Can a regular polygon have an interior angle of 160°
the sum of interior angle is 180:
[tex]x + 160 = 180 \\ x = 180 - 160 \\ x = 20[/tex]
make b the subject of the formula
A=1/2bh
Answer:
[tex] \blue{b = \dfrac{2A}{h}} [/tex]
Step-by-step explanation:
[tex] A = \dfrac{1}{2}bh [/tex]
Step 1. Switch sides.
[tex] \dfrac{1}{2}bh = A [/tex]
Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.
[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]
[tex] bh = 2A [/tex]
Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.
[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]
Answer:
[tex] b = \dfrac{2A}{h} [/tex]
If a semi circle has a diameter of 5 m what is the area?
Answer:
Exact answer = 10.41666666666666666666666666666pi
Estimated answer = 32.70938
Step-by-step explanation:
Semi circle formula: 1/2 * 4/3 * pi * r^3
r = 2.5
1/2 * 4/3 * pi * 2.5^3
2/3 * pi * 2.5^3
2/3 * pi * 15.625
10.416..... * pi
Exact answer = 10.417pi
We can estimate pi as 3.14
So, 10.417 * 3.14 = 32.70938
Exact answer = 10.41666666666666666666666666666pi
Estimated answer = 32.70938
What is the answer to this question
Answer:
48 units
Step-by-step explanation: