Answer:
x=28
y=v7vub8b9nf7v6v
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
The area of the bookmark is cm2.
Plzz help me
Answer:
Area of the bookmark = 52.56 cm²
Step-by-step explanation:
The two semicircles attached at both end of the rectangle will give us a full circle.
Therefore,
Area of the bookmark = area of rectangle + Area of a circle
Area of the bookmark = L × W + πr²
Length (L) = 10 cm
Width (W) = 4 cm
radius (r) = ½(4) = 2 cm
π = 3.14
Plug in the values into the equation
Area of bookmark = 10 × 4 + 3.14 × 2²
= 40 + 12.56
= 52.56 cm²
Use the zeros and the labeled point to write the quadratic function represented by the graph.
Answer:
The quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].
Step-by-step explanation:
Parabolae are defined by second order polynomials, that is, a polynomial of the form:
[tex]y = a\cdot x^{2} + b\cdot x + c[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a, b, c[/tex] - Coefficients.
By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points: [tex](x_{1}, y_{1}) = (2, 0)[/tex], [tex](x_{2}, y_{2}) = (4, 0)[/tex] and [tex](x_{3}, y_{3}) = (6, 8)[/tex], and the resulting system of linear equations is:
[tex]4\cdot a + 2\cdot b + c = 0[/tex] (2)
[tex]16\cdot a + 4\cdot b + c = 0[/tex] (3)
[tex]36\cdot a + 6\cdot b + c = 8[/tex] (4)
The solution of the system of linear equations is:
[tex]a = 1, b = -6, c = 8[/tex]
Hence, the quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].
2. What is the equation of a line that has a slope of 3 and a y-intercept of
-2?
y=-3x + 2
y = 3x + 2
y = 3x - 2
3x - 2y = 6
Answer:
y=3x-2
Step-by-step explanation:
y = mx + b
m = slope
b=yint
y=3(slope)x+ -2(y int)
-4n(2n-7)=0
Simplif your answer
Answer:
n=3.5, n=0
Step-by-step explanation:
Open the parenthesis
2n(-4n)-7(-4n)=0
-8n^2+28n=0
Factor:
n(-8n+28)=0
Solve:
n=0, or -8n+28=0
-8n=-28
8n=28
n=28/8
n=3.5
n can be either 3.5 or 0
Answer:
0, 7/2
Step-by-step explanation:
See image below:)
-2/3×3/5+5/2-3/5×1/6
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{-2}{3}*\frac{3}{5}+\frac{5}{2}-\frac{3}{5}*\frac{1}{6}=\frac{-2}{5}+\frac{5}{2}-\frac{1}{5*2}\\\\= \frac{-2}{5}+\frac{5}{2}-\frac{1}{10}\\\\=\frac{-2*2}{5*2}+\frac{5*5}{2*5}-\frac{1}{10}\\\\=\frac{-4}{10}+\frac{25}{10}-\frac{1}{10}\\\\=\frac{-4+25-1}{10}\\\\=\frac{20}{10}\\\\= 2[/tex]
How many lines of symmetry does the symbol for a state capital have?
The solution is:
The figure has 4 lines of symmetry.
- A vertical line through the middle of the figure.
- A horizontal line through the middle of the figure.
- The two diagonals through the figure are lines of symmetry too.
What is line of symmetry?In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
here, we have,
Explanation
Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.
For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.
So, the other lines of symmetry for this include
- A horizontal line through the middle of the figure
- The two diagonals through the figure are lines of symmetry too.
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Using the quadratic formula to solve x2 35-x, what are the values of x?
-12-121
-12-11
54.
12/19
51 21
2
Answer:
x = (-1 ± √21) / 2
The first choice
Step-by-step explanation:
x² = 5 - x
Put in standard form
x² + x - 5 = 0
Use quadratic equation
x = ( -b ± √( b² - 4ac) ) / (2a)
Plug in a = 1, b = 1 , c = -5
x = (-1 ± √( 1² - 4*1*(-5)) ) / 2
evaluate
x = (-1 ± √21) / 2
WILL MARK BRAINLIEST PLEASE HELP
A farm categorizes its chickens into 3 classes according to the weight: small, medium, andbig. For any chicken in this farm, the distribution of the weight (denoted byW) follows a GaussianPDF with mean 3.8 lb and standard deviation 0.6 lb. The categories follow the following rule
small: W <= 3.5lb
medium: 3.5 <= 4.9lb
Large: W > 4.9lb
Required:
a. What are the probabilities that a chicken is in the classes of small, medium, and large, respectively?
b. Find c such that PW < c = 0.6.
c. Suppose that 5 chickens are selected at random. What is the probability that 3 out of the 5 will be small?
Answer:
A) P ( chicken is small ) = 0.3085, P ( chicken is medium ) = 0.6621
P (chicken is large ) = 0.0294
B) C = 3.9233
C) 0.1404
Step-by-step explanation:
A) Probabilities
i) P ( chicken is small )
P( w ≤ 3.5 ) = Fw ( 3 .5 )
= F ( 3.5 - 3.8 / 0.6 )
= F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]
= 1 - 0.6915 ( from Table )
= 0.3085
ii) P ( chicken is medium )
P ( 3.5 < w < 4.9 )
P ( w < 4.9 ) - P ( w < 3.5 )
= Fw ( 4.9 ) - Fw ( 3.5 )
= F ( 4.9 - 3.8 / 0.6 ) - 0.3085
= 0.9706 - 0.3085 = 0.6621
iii) P (chicken is large )
= P ( w > 4.9 )
= 1 - P ( w < 4.9 )
= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294
B) Find c
Given: P( w < c ) = 0.6
Fw ( c ) = 0.6
F ( c - 3.8 / 0.6 ) = 0.6
c - 3.8 / 0.6 = 0.2055 ( from table )
∴C = 3.9233
C) P ( 3 out of 5 = small )
P ( 3 of 5 = small ) = 0.1404
attached below is a detailed solution
PLEASEEE HELPPP
A cone-shaped mold is filled with cake batter. The height of the mold is 15 inches, and the base diameter is 5.5 inches. What is the volume of the mold? Round to the nearest tenth.
Answer:
118.8 cubic inches
Step-by-step explanation:
volume of a cone is
[tex]vol \: = \frac{1}{3} \times \pi \times \frac{ {d}^{2} }{4} \times h[/tex]
where d is base diameter and
h is cone height.
hence
[tex]vol \: = \frac{1}{3} \times \pi \times \frac{ {5.5}^{2} }{4} \times 15 \\ = \pi \times \frac{30.25}{4} \times 5 \\ = 118.8 \: cu \: in[/tex]
The volume of the cone-shaped mold is 118.73 in³
What is volume?Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml.
Given that a cone shaped mold is filled with the cake batter, the height of the mold is 15 inches, and the base diameter is 5.5,
We need to find the volume of the mold,
Volume of the cone = π × radius² × height / 3
= 3.14 × 2.75² × 15 / 3
= 118.73
Hence, the volume of the cone-shaped mold is 118.73 in³
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Calculate a critical z-score for a left-tailed, right-tailed, or two-tailed test.
a. The critical z-score for a left-tailed test at a 12% significance level is -0.45.
b. The critical z-score for a right-tailed test at a 9% significance level is 1.34.
c. The critical z-score for a two-sided test at a 4% significance level is 1.75.
d. The critical z-score for a two-sided test at a 20% significance level is 0.85.
Answer:
a. Z = -1.175.
b. Z = 1.34.
c. |Z| = 2.054.
d. |Z| = 1.28.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The critical z-score for a left-tailed test at a 12% significance level
Left-tailed test: The region of interest is the 12th percentile or below.
Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.
b. The critical z-score for a right-tailed test at a 9% significance level
Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.
Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.
c. The critical z-score for a two-sided test at a 4% significance level is 1.75.
Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.
Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.
d. The critical z-score for a two-sided test at a 20% significance level is 0.85.
Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.
Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.
please help me asappppppp!
9514 1404 393
Answer:
a) ADC
b) ABC
c) ACB
d) CAD, DAB
e) CDm, BDA
f) ABD
Step-by-step explanation:
a) Any of the letters on lines going through point D could be used to name an angle with DC as one side. (Letters s and C would name an angle of measure zero, so might not be of interest.)
∠ADC has side DC
__
b) Any angle name with B in the middle will have B as its vertex.
∠ABD is an angle with vertex B
__
c) Ray CE is coincident with ray CD, so ...
∠ACE is another name for ∠ACD
__
d) Adjacent angles share a side, typically between the two angles. A linear pair of angles will be adjacent angles.
∠BAD and ∠CAD are adjacent angles
__
e) In order to properly name a pair of vertical angles, we need to be able to name two sets of opposite rays that share end points. Opposite rays emanate from points C and D, but no named points are seen outboard of those intersections. If we use 'm' as the name of a point on line m, then we can say a pair of vertical angles is ...
CDm and BDA are two vertically opposite angles
__
f) The supplement to EBD will be the other angle that makes a linear pair with angle EBD. It is defined using point A on the ray opposite ray BE.
∠ABD is the supplement of ∠EBD
Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s)
Answer:
The speed is 60 mph.
Step-by-step explanation:
distance = 42 miles
Let he drove with speed v and time is t.
distance = speed x time
42 = v t ..... (1)
42 = (v + 10)(t - 1/10) ..... (2)
[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]
So, the speed cannot be negative so the speed is 60 mph.
Solve for b.
- 32 + 106 = -22
Answer:
-30+10b=-22
32-22=10b
10b=10
-32+10=-22
hope it helps
If y = 8 cm, what is the area of the blue section of this shape?
Answer:
56 cm squared
Step-by-step explanation:
First things first: Cop one triangle off the rectangle, and attach it to the other one, so the shape looks like a L
Now I can actually solve this:
The left side is 8 cm (because y = 8 cm)
The top is 10 cm
The middle is 6 cm
The inside left is 3 cm
And the very bottom is 2 cm
First, we'll solve for the newly constructed rectangle: 3 x 2. That equals 6.
Next, solve for the longer rectangle: 10 x 5. That's 50.
Now, add the two areas, and we get 56. So the area of the whole thing is 56 cm squared.
(Please keep in mind that I could be wrong, so double check it for me, thanks!)
Please help me I don’t understand this at all
Answer:
you see on the right where the ( - ) are put the dot at -3 which is on the line because y } -x (which means your on the negative side) + 3 is -6 so put the dot on 6
Express it in slope-intercept form.
Answer:
y = 1/4x - 4
Step-by-step explanation:
The slope is four points behind the origin, so we subtract -4 from the equation:
y = 1/4x - 4
use two points on the line to find the slope:
(0,-4) (4,2)
Slope = change in y over change in x
Slope = (2 - -4) / (4-0) = 6/4 = 3/2
Y-intercept is the y value when x is 0, the line goes through y=2 at x = 0, so the t intercept is 2
The equation is:
Y = 3/2x + 2
HELPPP ME PLSSSS
I NEED THIS FOR MY CLASS
Answer:
hii im looking at the same thing you just have to do the multiplication on that
Step-by-step explanation:
Please help me I am stressed out
Answer:
a) 0.3 liters
b) 3 ÷ 10 = 0.3 liters
Step-by-step explanation:
3 ÷ 10
3 × 1/10
0.3
Evaluate the statistics expression:39C1
========================================================
Explanation:
You can use the nCr formula shown below
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where n = 39 and r = 1. However, you could also use the identity
[tex]_n C _{1} = n[/tex]
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.
Which is the solution to the equation below? 4n+5=25-3n
Answer:
[tex]n = \frac{20}{7}[/tex]
Step-by-step explanation:
[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]
Answer:
n = 20/7
Step-by-step explanation:
4n+5=25-3n
Add 3n to each side
4n+3n+5=25-3n+3n
7n +5 = 25
Subtract 5 from each side
7n+5-5=25-5
7n = 20
Divide by 7
7n/7 = 20/7
n = 20/7
Answer ASAP! Please answer! please answer (NOT HARD)
Answer:
221
Step-by-step explanation:
5(3)2-4
Answer:
221
Step-by-step explanation:
what is the slope of the line that passes through these two points?
Answer:
The answer seems to be 3/1.
Step-by-step explanation:
Use the equation:
(y2-y1)/(x2-x1)
if someone can explain this it would really help.
Answer:
6
Step-by-step explanation:
KL = 26-(11+9) = 26-20 =6
Answer:
KL is 6
Step-by-step explanation:
IL is 26, IJ = 9 JK= 11
IL= IJ + JK + KL
26= 9 + 11 + KL
Rearrange
KL= 9 + 11 - 26
= 6
using factoring what is the solution to the equation 2x^2+3x-5=0
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)
Divide Rs. 1800 among Marmik, Sujata and Kapil in the ratio of 1/3:1/4:1/6
Answer:
Marmik = 800; Sujata = 600; Kapil = 400
Step-by-step explanation:
Given
Let
[tex]M \to Marmik[/tex]
[tex]S \to Sujata[/tex]
[tex]K \to Kapil[/tex]
Given
[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]
[tex]Amount = 1800[/tex]
Required
Divide
We have:
[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]
Multiply the ratio by 12 (to convert them to whole numbers)
[tex]M:S:K = 12 *\frac{1}{3}:12*\frac{1}{4}:12*\frac{1}{6}[/tex]
[tex]M:S:K = 4 : 3 : 2[/tex]
The total ratio is:
[tex]Total = 4 + 3 + 2 = 9[/tex]
So, the amount each collected is:
[tex]Marmik = \frac{M}{Total} * Amount[/tex]
[tex]Marmik = \frac{4}{9} *1800 = 800[/tex]
Using the same formula for others, we have:
[tex]Sujata = \frac{3}{9} *1800 = 600[/tex]
[tex]Kapil = \frac{2}{9} *1800 = 400[/tex]
Which type of correlation does the scatter plot show
Answer:
D
Step-by-step explanation:
From the given scatter plot, it is positive correlation.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Interpretation of correlation
A scatter plot with increasing values of both variables can be said to have a positive correlation. A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.From the given graph,
The coordinates points are in increasing order.
Therefore, the correlation is positive.
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Need help if anyone can help me that’ll be nice
Answer:
times up the outside bc we know the outside is the area
The fencing William chooses costs $29.53 per foot, including installation. What will the fencing cost? Show your work.
Answer:
[tex]C = 29.53x[/tex]
Step-by-step explanation:
Given
[tex]Unit\ cost = \$29.53[/tex]
Required
The cost of fencing (C)
The cost is calculated as:
[tex]C = Unit\ Cost * Perimeter\ of fencing[/tex]
Let:
[tex]x \to Perimeter\ of fencing[/tex]
So, we have:
[tex]C = Unit\ Cost * x[/tex]
[tex]C = 29.53 * x[/tex]
[tex]C = 29.53x[/tex]
The question cannot be solved further since the dimension of the fence is not given
If you know the dimension, calculate the fence perimeter and substitute the value for x
What is the slope of the line through (-5, -10) and (-1, 5)
Answer:
Slope = 15/4
Step-by-step explanation:
Use the slope formula and you'll get the same answer.
Hope this helps:)
