Although it is true that only the x-axis is affected, that is, on the horizontal, when multiplying by a number less than 1, there would not be a stretch but a narrowing.
That is, the horizontal part would be smaller, which contradicts what Richard says.
what is the population standard deviation for the numbers 75,83,96,100,121,125
Answer: 332.6667
Step-by-step explanation: trust
Points A and C are two opposite
vertices of the ABCD square. Find the
area of this square.
A(3,2), C(7,2)
The area of the square is 8 square units.
According to the question,
We have the following information:
Points A and C are two opposite vertices of the ABCD square.
The coordinates of these points are A(3,2), C(7,2).
Now, we will use the distance formula to find AC:
d = [tex]\sqrt{(y2-y1)^{2}+ (x2-x1)^{2} }[/tex]
d = [tex]\sqrt{(2-2)^{2}+ (7-3)^{2} }[/tex]
d = [tex]\sqrt{4^{2} }[/tex]
d = 4 units
Now, when A and C are opposite vertices then AC is a diagonal.
Side of the square = diagonal/[tex]\sqrt{2}[/tex]
Side = 4/√2 units or 2√2 units
Formula to find the area of square:
Side*side
2√2*2√2
4*2
8 square units
Hence, the area of the square is 8 square units.
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A square pyramid and a square prism have the same length, width, and height. If the volume of the square prism is 900in3 , what is the volume of the square pyramid?
A square pyramid and a square prism have the same length, width, and height. If the volume of the square prism is 900in3 , what is the volume of the square pyramid?
we know that
The volume of the square prism is equal to
[tex]V=b^2\cdot h[/tex]where b is the length side of the square base and h is the height of the prism
The volume of the square pyramid is
[tex]V=\frac{1}{3}\cdot b^2\cdot h[/tex]Remember that
the volume of the square prism is 900in3
so
[tex]900=b^2\cdot h[/tex]substitute in the formula of volume of the pyramid
[tex]\begin{gathered} V=\frac{1}{3}\cdot b^2\cdot h \\ \\ V=\frac{1}{3}\cdot900 \\ V=300\text{ in\textasciicircum{}3} \end{gathered}[/tex]the volume of the pyramid is 300 cubic inchesJavier has a balance of $216 on his game store gift card. He spends $59 on each game he buys from the store.
slope =
y-intercept =
PLEASE J NEED HELP NOWW
Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].
What is the slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here given that,
Javier has a balance of $[tex]216[/tex] on his game store gift card. He spends $[tex]59[/tex] on each game he buys from the store.
So, the equation is of the form
[tex]y=-59x+216[/tex]
But we know line of equation is
[tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope and [tex]c[/tex] is the intercept.
i.e,
slope is [tex]-59[/tex]
[tex]y[/tex] int is [tex]216[/tex]
Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].
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5 less than the square of a number
x^2 - 5 this will be the equation formed.
What is exponents?An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.
Calculationlet the number be x
x^2 - 5 this will be the equation formed
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Horatios haunted house
The ratio of screamers to runners are 4:6 and 10:15.
Given,
the ratio of customers who screams and customers who run away is 2:3
Let
number of screamers be 'x'
number of runners be 'y'
To find number of screamers we can solve the ratio in proportion,
[tex]2:3::x:6\\\frac{2}{3}=\frac{x}{6}\\ \frac{2*6}{3}=x\\ 4=x[/tex]
Verify: [tex]4:6=2:3[/tex]
To find number of runners we can solve the ratio in proportion,
[tex]2:3::10:y\\\frac{2}{3}=\frac{10}{y}\\ {y}=\frac{3*10}{2}\\ y=15[/tex]
verify:[tex]10:15=2:3[/tex]
Hence, the ratio of screamers to runners are 4:6 and 10:15.
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Question
A line goes through the point (–4, –2) and (–1, y) and has a negative slope. Select all of the values below that could represent y.
A.-5
B.-4
C.-3
D.-2
E.-1
F.0
The values that can represent 'y' when the slope is negative are:
A) -5(B) -4(C) -3What is a slope?A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x). Slope usually referred to as rise over run, is the "steepness" of the line. By dividing the difference in y values between two points by the difference in x values, we may determine the slope.So, values that can represent y are:
Slope formula: m = y2-y1/x2-x1Substitute values as follows:
m = y2-y1/x2-x1m = y+2/-1+4m = y+2/3We know that the slope is negative.
So, the value of y needs to be greater than 2 and negative. Then,
(A) -5(B) -4(C) -3Therefore, values that can represent 'y' when the slope is negative are:
A) -5(B) -4(C) -3Know more about slope here:
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help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
The width of the rectangle is equal to 3.42 meters
Let the width of the rectangle be represented by the variable x
thus from the question we can say that the length of the rectangle is 3 + x
Given is the area of the rectangle
we know that the area of the rectangle is Length × Breadth
Given area of the rectangle = 22 square meters
thus Area = Length × Breadth
On substituting the value we get
22 = ( 3 + x ) ( x )
x² + 3x = 22
x² + 3x - 22 = 0
b² - 4ac = 9 + 88 = 97
thus - b ± [tex]\sqrt{b^{2} -4ac}[/tex] / 2a
= - 3 ± 9.84 / 2
Thus the two values of x we will get are :
x= -12.84 / 2 = -6.42 which is rejected because width cant be negative
thus the value of x = 6.84 / 2 =3.42 meters
Thus we get values of x as
x = 3.42 meters
Thus the required width of the rectangle = 3.42 meters
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I need some help with this problems please Number 10
Explanation:
We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.
For isosceles triangles we have the following congruences:
Therefore angle x is congruent to the one that's 66º.
Then we have that the measures of the interior angles of any triangle add up 180º:
[tex]\begin{gathered} yº+xº+66º=180º \\ y+66º+66º=180º \\ y+132º=180º \\ y=180º-132 \\ y=48º \end{gathered}[/tex]Answers:
• x = 66º
,• y = 48º
In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC 1 BD, then find
The measure of the angle ∠BEC is 60°.
We are given two parallelograms: ABCD and BDCE. They have a common base CD. It is given that BC is perpendicular to BD. We need to find the measure of the angle ∠BEC.
In the parallelogram ABCD, ∠BCD is equal to ∠DAB because opposite angles in a parallelogram are equal to each other.
∠BCD = 30°
In the triangle BCD, we will use the angle sum property. The sum of all the angles in a triangle is 180°.
∠DBC + ∠BCD + ∠CDB = 180°
90° + 30° + ∠CDB = 180°
∠CDB = 180° - 120°
∠CDB = 60°
Now, in the parallelogram BDCE, ∠BEC is equal to ∠CDB because opposite angles in a parallelogram are equal to each other.
∠BEC = 60°
Hence, the measure of the angle ∠BEC is 60°.
The complete question is given below.
In the figure given below, ABCD and BDCE are parallelograms with common base DC . If BC ⊥ BD , then find ∠BEC.
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EUREKA M
3. Give an example of a scale factor that produces an enlargement. Explain why you chose this
scale factor.
on. Explain why you chose this
scale factor.
We will take an example of a rectangle with a scale factor of enlargement by 2.
For example, consider a rectangle with dimensions of 6 cm and 3 cm.
If we increase the scale factor for the initial rectangle by 2, both sides of the rectangle will be doubled. By raising the scale factor, we mean multiplying the present rectangle measurement by the supplied scale factor. We have multiplied the original rectangle measurement by 2 here.
The rectangle's length was originally 6 cm and its width was 3 cm.
After multiplying by two, the length is 12 cm and the width is 6 cm.
Thus, we took an example of a rectangle with a scale factor of enlargement by 2. We consider this for a better understanding.
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Ms. Perea wants to cover the floor withrectangular tiles that measure 1.5 feet by0.8 feet. Which equation can be used tofind t, the number of tiles she will need tocover the kitchen floor?
We need to find the area of a rectangle. The area of a rectangle is given by:
[tex]\begin{gathered} A=w\cdot l \\ where\colon \\ w=width \\ l=length \\ \end{gathered}[/tex]The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:
[tex]At=1.2ft^2[/tex]Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:
[tex]\begin{gathered} t=\frac{A}{At} \\ t=\frac{A}{1.2} \\ t=(22.5\times12.5)\div(1.5\times0.8) \end{gathered}[/tex]Games at the carnival costs $7 each. The prizes awarded to the winners costs the owner $177.35. How many games must be played for the owner to make at least $75.
Use g as your variable. Round your inital answer to the nearest hundredth.
At least 36.05 games should be played for the owner to make at least $75.
Let the number of games played = g
According to question,
Cost of each game = $7
Cost of g games = 7g
Prizes awarded to the winner costs the owner = $177.35
To make at least $75, the equation is
7g - 177.35 ≥ 75
7g ≥ 75 + 177.35
7g ≥ 252.35
g ≥ 252.35 / 7
g ≥ 36.05
Hence, at least 36.05 games should be played.
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Gary had a 40% discount for car speakers. The sale price of the speakers was $90.What was the original price of the speakers?
The original price of the speakers are found to be $150.
What is meant by the term discount?The discount is equal to the difference between both the purchase price and the par value. A discount is a reduction as well as deduction in a product's cost price. It is most commonly used in purchase and sale of products, where people are given discounts on a variety of products. The discount rate is expressed as a percentage.For the given question;
Gary had a 40% discount for car speakers.
The sales price of the speakers was $90.
Let the original price be 'x'.
Thus,
Sales price = original price - discount.
90 = x - 40% of x
90 = x - 40x/100
90 = 6x/10
x = 900/6
x = 150
Thus, the original price of the speakers are found to be $150.
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The product of eight and a number b
Write a variable expression for the word phrase
estimated sales volume =47.81+0.47(Advertising Expenditures)If the company has a target sales volume of $175,000,how much should the sales manager allocate for the advertising in the budget ? round your answer to the nearest dollar
We are given an estimate equation.
Let the estimate sales volume be "s" and advertising expenditure be "a".
The given equation is:
[tex]s=47.81+0.47a[/tex]The company has a target sales of 175,000, which is a value for "s".
To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:
[tex]\begin{gathered} s=47.81+0.47a \\ 47.81+0.47a=s \\ 0.47a=s-47.81 \\ a=\frac{s-47.81}{0.47} \end{gathered}[/tex]Now we substitute 175,000 into "s":
[tex]a=\frac{175,000-47.81}{0.47}=\frac{174,952.19}{0.47}=372,238.7021\ldots\approx372,239[/tex]So, by the equation estimate, the sales manager should allocate $327,239 for advertising.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].
[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]
need help asappppppp
We are asked to determine the volume of the cylinder. To do that we will use the following formula:
[tex]V=\pi r^2h[/tex]Where "r" is the radius and "h" is the height. Replacing the values:
[tex]V=(3.14)(4cm)^2(10\operatorname{cm})[/tex]Solving the operations:
[tex]V=502.4cm^3[/tex]Therefore, the volume is 502.4 cubic centimeters.
A true-false test contains 13 questions. In how many different ways can this test be completed. (Assume we don't care about our scores.
Answer:
Explanation:
There are two possible answers for a tue-false test:
True and False
It is given
Kaitlyn flew 630 miles in 60 minutes. How many miles per minute did she fly?
Answer:
10.5 miles per minute
Step-by-step explanation:
630/60=10.5
a ferris wheel casts a 42 m shadow. a man two meters tall casts a 3 m shadow. how tall is the first wheel (in meters)?
The ferris wheel cast a shadow of 42 meters Tall.
A man of height 2 meters cast a shadow of 3 meters . The height of the ferris wheel can be computed below
[tex]\begin{gathered} 2\text{ meters = 3 meters} \\ x\text{ meters=42 meters} \\ \text{cross multiply} \\ 3x=84 \\ x=\frac{84}{3} \\ x=28\text{ meters} \end{gathered}[/tex]height of the ferris wheel = 28 meters
Find a pair of adjacent angles:4 and 14Find a pair of vertical angles:233 and 21)
SOLUTION
By definition, adjacent angles are (of a pair of angles) formed on the same side of a straight line when intersected by another line.
Vertical Angles are the angles opposite each other when two lines cross.
Going by this above definition, a pair of adjacent angles in the figure in Q1 are:
4 and 2.
Going by this above definition, a pair of vertical angles in the figure in Q1 are:
3 and 2.
Jerome and Tara played in a golf
tournament with four rounds. Their
scores for the rounds are given below.
If their final score is the sum of their
four rounds, which statement is true?
Round 1 Round 2 Round 3 Round 4
-4
5
-6
-2
2
-5
-4
-1
Jerome
Tara
Answer:JEROME
Step-by-step explanation:
HELPPP PLEASEE!
Raul claims his graph shows a proportional relationship because the data forms a straight line. He also claims his graph shows he read 1.5 pages per minute. Are Raul’s claims correct? Justify your reasoning. Write an equation to represent the data in the graph.
the answer is below Learm!!!
Step-by-step explanation:
maybe if u learn in school u would get the answer bum
How many 1/5s are in 9?
Answer:
About 90 1/5's are in 9.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
In the model, two of the flagpoles are 4 inches apart. How far apart will they be when they are installed?
ANSWER
36 feet
EXPLANATION
We are given that the scale of the model is 1 inch to 9 feet.
The two flagpoles are 4 inches apart in the model.
To find the distance between them when they are installed, we have to use ratio/proportion.
Let the distance between them be x.
We have that from the scale:
1 inch = 9 feet
=> 4 inches = x feet
Now, we can cross-multiply:
[tex]\begin{gathered} 1\cdot x=4\cdot9 \\ \Rightarrow x=36\text{ feet} \end{gathered}[/tex]Therefore, the distance between them when they are installed is 36 feet.
A line passes through the point (1, -6) and has a slope of 9.Write an equation in point-slope form for this line.
EXPLANATION
Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x_1,y_1)=(1,-6)
Replacing terms:
[tex]y-(-6)=9(x-1)[/tex]Applying the subtraction property:
[tex]y+6=9(x-1)\longrightarrow\text{ point-slope form}[/tex]
HELPPPP IM FAILING
In ^CDE, DE= CD and m/D = 29°. Find m/C.
Answer:
<C=75.5⁰
Step-by-step explanation:
<C=<E
<C+<E+<D= 180⁰
<C+<E= 180⁰-29⁰
<C+<C= 151⁰
2<C= 151⁰
<C= 151⁰/2
<C= 75.5⁰
jamila has a weather station in her backyard. She uses a rain gauge to track the total rainfall during storms. Answer the following questions to compare the storms. 1. Jamila graphs the function describing Mondays rainfall. is the graph nonlinear or linear? how do you know? 2. What is the real-world meaning of the slope of this graph? 3. Next, Jamila graphs functions describing Thursdays rainfall. Is this graph linear or nonlinear? how do you know? 4. what does the y-intercept of the graph of Mondays storm mean? Does the y-intercept of the the graph of Thursday's storm have the same meaning?
2.
slope: rise(precipitation) / run (time)
In the real world, the slope means the relationship between time and precipitation.
3. AS the time increases, the precipitation increases. Is a linear function.
4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.
Both y-intercepts have the same meaning.