The new length of the enlarged figure will 18 cm.
What is scale factor?A scale factor is a number which scales, or multiplies, the original figure by some quantity.
We have the equation for the scale factor.
Y=Cx
C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.
As the given length is 4.5 cm, so with a scale factor of 4, the length of the enlarged figure will be
[tex]Y=4.5\times4=18\ cm[/tex]
Therefore, the new length of the enlarged figure will 18 cm.
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Btw the answer needs to be a fraction.
Answer:
3/4
Step-by-step explanation:
Which is the correct way to rewrite the expression? 4(5 + y)
a. (4 + 5) + (4 + y)
b. (4 * 5)(4y)
c. (4 + 5) + (4y)
d. (4 * 5) + (4y)
what is the value of x that makes the given equation true 9+8x-4-5x=-19
Answer:
x = -8
Step-by-step explanation:
9+8x-4-5x=-19
5+8x-5x=-19
5+3x=-19
-5 =-19
3x = -24
3/3 = -24/3
x= -8
Simplify the following variable expressions
Solve the System of equations x = -2 ; y= -3 .(show your work step by step).
x+2y = 4
x +y = 1
Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
Sam rode a bull for 8 seconds.
Maddie rode a bull for 2 fewer seconds than Sam did.
How long did Maddie ride her bull?
Answer:
is it 7?
Step-by-step explanation:
if he rode for 8 seconds and it says she rode for 2 seconds FEWER are you not subtracting from 8 to get 7?
Find the volume of the composite solid. Round your answer to the nearest tenth.
16 ft
6 ft
4 ft
The volume is about
cubic feet.
The volume of the composite solid is 4823.04 ft³.
Wha is volume?Volume is the amount of space or the capacity of a solid shape.
To find the volume of the composite solid, we use the formula below.
Formula:
The volume of the composite solid = Volume of the cone + volume of the cylinder.
V = πr²H+πr²h/3Where:
V = Volume of the composite solidr = Radius of the base of cylinder/ the base of the coneH = Height of the cylinderh = Height of the coneπ = PieFrom the question,
Given:
r = 16 ftH = 4 fth = 6 ftπ = 3.14Substitute these values into equation 1
V = 3.14(16²)(4)+3.14(16²)(6)/3V = 3215.36+1607.68V = 4823. 04 ft³Hence, The volume of the composite solid is 4823.04 ft³.
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a 21ft ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 19ft from the base of the building. how high up the wall does the ladder reach
Answer:
According to the graph:
H^2 + 10^2 = 21^2
Solve as:
H = 18.19 feet
So the height is 18.19 feet
Using the data in the scatter plot what is a reasonable slope of a model that fits this data
We can conclude that the reasonable slope of a model that fits the given data is: C. 1.
What is the Slope on a Scatter Plot?Slope = change in y/change in x.
To find the slope of that fits the data, pick any two points on the scatter plot, say, (12, 1985) and (16, 1988)
Slope = (1988 - 1985)/(16 - 12) = 0.75 ≈ 1.
Therefore, we can conclude that the reasonable slope of a model that fits the given data is: C. 1.
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helppp plsss. i have to turn this in asap
Answer:
y= 2x-5
Step-by-step explanation:
The slope formula is m=(y2-y1)/(x2-x1)
-3-1 / 1-3 = -4/-2= 2=m
The Y interception- y=mx+b using coordinates (3,1)
1=2(3)+b
1=6+b (subtracting 6 on both sides to isolate b)
-5=b
plug it in
y=2x-5
"Your teacher brings two bags of colored goldfish crackers to class. Bag I has 25% red crackers and Bag II has 35% red crackers. Each bag contains more than 1000 crackers. Using a paper cup, your teacher takes an SRS of 50 crackers from Bag I and a separate SRS of 40 crackers from Bag II. Let p1-p2 be the difference in the sample proportions of red crackers. " The object is to find the standard deviation. I have 0. 971. Is this correct? I would like to verify
Using the Central Limit Theorem, it is found that the standard deviation is of 0.0971.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].It also states that when two variables are subtracted, the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the standard error is given by:
[tex]s_I = \sqrt{\frac{0.25(0.75)}{50}} = 0.0612[/tex]
[tex]s_{II} = \sqrt{\frac{0.35(0.65)}{40}} = 0.0754[/tex]
Hence, for the distribution of differences, it is given by:
[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0612^2 + 0.0754^2} = 0.0971[/tex]
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What are the new coordinates of the figure above if it is dilated by a scale factor of 4, with the origin as the center of dilation ?
A. A’ (-1,-4), B’(-4,4), C’(2,-4)
B. A’(-4,-1), B’(-4,4),C’(8,-1)
C. A’(-5,-5), B’(-5,5),C’(6,-5)
D. A’(-4,-4), B’(-4,4)C’(8,-4)
Answer:
D. A’(-4,-4), B’(-4,4)C’(8,-4)
Step-by-step explanation:
Find the perimeter.
Write your answer as a fraction or as a whole or mixed numbe
5 1 cm
10
5 cm
10
Bloc
5
cm
10
5 cm
10
Answer:
20 2/5 cm
Step-by-step explanation:
4 ( 5 1/10)
4 × 51/10
2×51/5
0.4x51
=20 2/5
Please help me bro please
Answer:
n = 11°⠀
Step-by-step explanation:
When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.Vertically opposite angles are equal to each other.⠀
So,
[tex]{\longrightarrow \it\qquad { \ { (6n - 4) {}^{ \circ} = {(5n + 7)}^{ \circ} }}}[/tex]
⠀
Removing the brackets,
[tex]{\longrightarrow \it\qquad { \ { 6n - 4{}^{ \circ} = {5n + 7 \: }^{ \circ} }}}[/tex]
[tex]{\longrightarrow \it\qquad { \ { 6n - 5n = { 7 \: }^{ \circ} +4{}^{ \circ} }}}[/tex]
[tex]{\longrightarrow \it\qquad { \pmb{ n = { 11 \: }^{ \circ} }}}[/tex]
⠀
Therefore,
The value of n is 11°We will use the concept of Vertically Opposite angle here, i.e at the point of Intersection of two straight lines, the VOA (Vertically Opposite Angles) are equal
By using this property we will be having ;
[tex]{:\implies \quad \sf (6n-4)^{\circ}=(5n+7)^{\circ}}[/tex]
[tex]{:\implies \quad \sf 6n-5n=7+4}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n=11}}}[/tex]
This is the required answer
Please Help
What is the sum of the two solutions to x^(2)+5x+6=0
Answer:x=−3
x=−2
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
Hi, First begin by solving the quadratic equation
x^2 + 5x + 6
What two numbers multiply to get 6 but add to make 5? I would use 3 and 2
X^2 + 3x + 2x + 6
x(x+3) 2(x+3)
(x+2) (x+3)
X=-2
X=-3
These are your two solutions
-2 + -3 = -5
Electric guitar kits originally cost $d$ dollars online. You buy the kits on sale for $50\%$ of the original price, plus a shipping fee of $\$4.50$ per kit. After painting and assembly, you sell each guitar online for $\left(1.5d+4.5\right)$ dollars. Find your profit on each guitar sold.
let's keep in mind that Profit = Revenue - Costs.
so each guitar costs originally "d" dollars online.
you buy the kits at half price, 50% of the original price, well, the original price is "d", half "d" is just 0.5d, and there's a shipping charge of $4.50. So the Cost to get one kit alone for you is 0.5d + 4.50.
After some work, you resell the kits online for 1.5d + 4.5, so since that's the selling price that is your Revenue for one kit.
[tex]\stackrel{\textit{\Large Profit}}{\stackrel{Revenue}{(1.5d~~ + ~~4.50)}~~ - ~~\stackrel{Costs}{(0.5d~~ + ~~4.50)}}\implies 1.5d+4.5-0.5d-4.5 \\\\\\ 1.5d-0.5d+4.5-4.5\implies 1d\implies d[/tex]
if f(x)=1/9x-2, what is f^-1(x)?
Answer:
[tex]f^{-1}(x)[/tex] will be equal to 9y+18
Step-by-step explanation:
[tex]f^{-1}(x)[/tex] will be equal to 9y+18
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are
blue. How many blue marbles does he have
A student solves this problem by writing an equation. Which strategy could help check the student's answer?
final answer
Answer:
Add 12 and 15 to their X value.
Step-by-step explanation:
X = 28, but they could check by adding 12 and 15 to see if it adds to 55.
Answer:
15
+12
=27
55
-27
=28
28 of the marbles are blue
What is the surface area of the figure made from this net?
Answer:
there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...
Step-by-step explanation:
Find the area of the trapezoid. {?} Square centimeters
Answer:
68
Step-by-step explanation:
Use the formula provided...
6 and 11 are b1 and b2, and 8 is h.
So, 6+11 = 17
17/2 = 8.5
8.5*8 = 68
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The school band director has a budget $4,428.00 to spend on the band room, instruments, music, and uniforms. There are four sections in the band: drum corps, woodwinds, horns, and color guard. She has received three offers.
Option 1. Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
Option 2. Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
Option 3. Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
The remainder of the money will be split evenly among the four sections for additional costs. Match each option with the amount of money each section will receive for additional costs.
Answer:
The amount of money left for each section to spend from the budget in additional costs if they follow exact of the
options is
Option 1-$497.5
Option 2 - $494.5
Option 3 - $500.5
The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should
be matched accordingly.
Step-by-step explanation:
We first calculate the amount left per section after following each of the options.
Budget $4,428.00
Option 1.
Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
There are 4 sections, hence, total amount spent in this option:
4(564) + 182 $2438
Amount of money left from the budget after spending= 4428-2438 = $1990
Amount left per section = (1990/4) =
$497.5
Option 2
ធ
Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
There are 4 sections, hence, total amount spent in this option:
4(593) + 78 $2450
Amount of money left from the budget after spending= 4428 - 2450= $1978
Amount left per section = (1978/4)=
$494.5
Option 3
Repair uniforms at $287.00 per
section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
There are 4 sections, hence, total amount spent in this option:
4(287) + 856 +422 = $2426
Amount of money left from the budget
after spending = 4428-2426 = $2002
Amount left per section = (2002/4)= $500.5
Car #1 travels 288 miles in 4 hours. Car #2 travels 276 miles in 3
hours. What is the speed of car #2 in miles per hours
PLEASE HELP AURGENT
Answer:
Car 1: 72 mph
Car 2: 92 mph
Step-by-step explanation:
Car 1: 72 mph
288/4 = 72
72mph
Car 2: 92 mph
276/3
92 mph
Have an amazing day!!
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What is the value for m and n?
Answer:
M = 8 N = 10
Step-by-step explanation:
Multiplying exponents adds the exponent, meaning that inside of the brackets, it is a^4 * b^5. Multiply the exponents by two because you are squaring the entire equation. Therefore, m=8 and n=10
310, 304, 298, ...
Find the 47th term.
Answer:
The answer is 34
Step-by-step explanation:
Given;a₁ = 310a₂ = 304a₃ = 298n = 47To Find;a₄₇ = ?Formula;aₙ = a + (n – 1) × dNow,
Common Difference (d)
d = a₂ – a₁ = 304 – 310 = -6
d = a₃ – a₂ = 298 – 304 = -6
Here, common difference is same everywhere
So,
aₙ = a + (n – 1) × d
a₄₇ = 310 + (47 – 1) × (-6)
a₄₇ = 310 + 46 × (-6)
a₄₇ = 310 – 276
a₄₇ = 34
Thus, The 47th term of this sequence is 34.
Rachel has a coupon for 15% off any
two pairs of earrings at one of her
favorite stores. If each pair of
earrings that she purchased cost
$12.99, and the sales tax in her state
is 6.5%, then what is the total
amount she spent after using her
coupon?
Answer:
Total Payment: $23.52
Savings: $4.15
Tax: $1.44
Determine
the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Answer:
-90 degrees counter clock wise
Step-by-step explanation:
it goes the opposite of a clock so it would be called -90 degrees counter clockwise, you could also say 270 degrees clockwise if the other isnt an option.
14x - 2x + 3
12x + 3
3 (4x + 1)
4x+ 1
1
-8
3(5x + 9)
3(5x + 9)
= 3(5x + 9)
= 5x + 9
= x+9
=x
Answer:
-1/4
Step-by-step explanation:
14x - 2x + 3 = 0
12x + 3 = 0
12x = -3
12x/12 = -3/12
x = -1/4
if you could just tell me what I should say in the presentation, that would be great :) thx
Answer:
we're u asking for this
What is ur statistical question
PLEASE HELP !
The radius of circle L is 22cm what is the lenght of its diameter ? A. 88cm B. 44 cm C. 22cm D. 11cm
Answer:
B. 44cm
Step-by-step explanation:
d(diameter) = 2r (radius)
d = 2 X 22 cm
d = 44 cm
PLEASE HELP
One number is 4 more than another number. If the greater number is x, what is the other number?
Answer:
12
Step-by-step explanation:
it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.
i hope i got it right just tell me if this is wrong, please
The expression for the smaller number is q = x - 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the greater number be p = x
Let the smaller number be q
If the greater number is x, then the other number must be 4 less than x.
We can express this algebraically as:
On simplifying the equation , we get
q = x - 4
Hence , the other number is x - 4.
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