Answer:
The answer is run because the line is going down.
Step-by-step explanation:
Factor. 4y - 32 Factor
Notice that:
[tex]\begin{gathered} 4y=4\times y, \\ 32=4\times8 \end{gathered}[/tex]Therefore:
[tex]4y-32=4\times y-4\times8.[/tex]Grouping like terms we get:
[tex]4\times y-4\times8=4\times(y-8)\text{.}[/tex]Answer:
[tex]4(y-8)\text{.}[/tex]The quotient of two numbers is 2. Their product is 128. What are the two numbers?
Let's use the variables x and y to represent the two numbers.
If the quotient is 2 and the product is 128, we have:
[tex]\begin{gathered} \begin{cases}\frac{x}{y}=2 \\ xy=128\end{cases} \\ \\ \frac{x}{y}=2\to x=2y \\ \\ xy=128 \\ (2y)y=128 \\ 2y^2=128 \\ y^2=64 \\ y=\pm8 \\ \\ y=8\to x=2\cdot8=16 \\ y=-8\to x=2\cdot(-8)=-16 \end{gathered}[/tex]So the numbers can be 16 and 8 or -16 and -8.
If a line bisects a segment, then the segment is divided into two congruent parts.
Converse:
Inverse:
Contrapositive:
In converse, a segment is divided into two congruent portions if a line bisects it.
What is converse?A line bisects a segment if it can be divided up into two congruent portions. A line does not cut a section in half if it is not separated into two equal parts.A line is split into two equal parts by a bisector. Therefore, when we refer to a perpendicular bisector of a line segment AB, we mean that it bisects or divides AB into two equal halves. It is perpendicular to AB or at right angles to it. The distance between each point on the perpendicular bisector from points A and B is equal.Contrarily, if two segments are congruent, they have the same length. Inverse: Two segments have different lengths if they are not congruent.To learn more about line bisector refer to :
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I NEED HELP PLS!!!!
Determine whether the statement is always, sometimes, or never true.
When the measure of ∠4 is 120°, the measure of ∠1 is 60°.
The given statement is always true.
Define Angle.
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
We have a geometrical figure and a statement describing it.
The given statement is -
When the measure of ∠4 is 120°, the measure of ∠1 is 60.
We have ∠4 = ∠1 = 120° {vertically opposite angles}
and
∠1 + ∠2 = 180°
∠1 = 180 - 120 = 60°
Therefore, the given statement is always true.
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1: 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder. How do I find the proportional relationship
When 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder, the relationship is 1 teaspoon for 5 1/3 muffins. This was gotten through division.
What is a proportional relationship?A proportional relationship exists between two variables if all of their ratios are equivalent. In other words, one variable in a proportional relationship is always a constant value multiplied by the other variable. This constant value is known as the. proportionality constant
When we fill up our car with gas, there is a connection between the number of gallons of fuel we put in the tank and the amount of money we will have to pay. To put it another way, the more gas we put in, the more money we'll have to pay. This illustrates a proportional relationship
In this case, 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder, the relationship will be:
= 8 ÷ 1 1/2
= 8 × 2/3
= 5 1/3 muffins
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HELP!
Find three consecutive odd integers such that twice the sum of the second and the third is 43 more than three times the first
Answer: 31, 33, and 35
Step-by-step explanation:
Let’s set up a model for an odd integer: 2x+1. This number has to be odd because it’s an even number plus 1. 3 consecutive days numbers would be 2x+1, 2x+3, and 2-+5. Now we can set up the equations.
2(2x+3+2x+5)=43+3(2x+1)
Simplify:
4x+6+4x+10=43+6x+3
8x+16=6x+46
2x=30
x=15
Now put that back into our original number expressions:
2(15)+1, 2(15)+3, 2(15)+5
31, 33, and 35
Every day, an automobile factory assembles 12 more cars than trucks.
Let t represent the number of trucks assembled and c represent the number of
cars assembled.
Use the function c = t + 12 to find the value of c when t = 1.
C=
The value of C is 13.
What is mean by mathematical operation ?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
Given ,
The automotive manufacturer produces 12 more automobiles than trucks each day.
T is the input and c is the output in this connection. Therefore, by adding 12 to t, you may calculate c.
Write this connection as a function.
c = t + 12
To determine the value of c, replace t in the function with 1 instead.
c = t+12
c = 1 + 12
c = 13.
Therefore the value of C is 13
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Line XY is the mid-segment of trapezoid ABCD find the length of line XY
Length of line XY is 12cm
Explanation:We apply the mid-segment of trapezoid theorem:
[tex]\begin{gathered} \text{mid segment = }\frac{small\text{ base + big base}}{2} \\ \text{small base = AB} \\ \text{big base = DC} \end{gathered}[/tex][tex]\begin{gathered} \text{mid segment = }\frac{AB\text{ + DC}}{2} \\ AB\text{ = 9cm} \\ DC\text{ = 15cm} \\ \text{mid segment = }\frac{9\text{ + 15}}{2} \end{gathered}[/tex][tex]\begin{gathered} \text{midsegment = }\frac{24}{2} \\ \text{midsegment = }12 \\ XY\text{ = midsegment = 12cm} \end{gathered}[/tex]Length of line XY is 12cm
what would the graph for y>x2-4x+3 look like
Answer:
The attached image below is what y>x2-4x+3 would look like
I need to convert the numbers to presents then put them in order least to greatest
We have the next numbers
And we must put them in order least to greatest
In order to put them in order we can write all numbers as percents
- 1/3
[tex]\frac{1}{3}=0.333\cdot100\text{ \%}=33.333\text{ \%}[/tex]- 0.3
[tex]0.3\cdot100\text{ \%}=30\text{ \%}[/tex]- 8/25
[tex]\frac{8}{25}=0.32\cdot100\text{ \%}=32\text{ \%}[/tex]Now, we have all numbers in percents. So we can order them
30% -> 32% -> 33% -> 33.333% -> 33.6%
Which expressions are equivalent to this expression?
4x +4
Select each correct answer.
Ox+3x+4
2x+1+2x+3
2(2x+2)
1 2 3
PLEASE ANSWER ASAP FINISHES 8:30
option(c):- 2(2x+2)
Step-by-step explanation:
2(2x+2)
= 4x+4.
Also Due Today
2. Which point is located on the line represented by the equation y + 4 = - 5(x - 3)
(- 4, - 5)
(- 5, - 4)
(3, - 4)
(- 3, 4)
3. Which equation represents the line that passes through the points (6, - 3) and (- 4, - 9) ^ prime
y + 4 = 3/5 * (x + 9)
y + 3 = 3/5 * (x - 6)
y - 3 = 3/5 * (x + 6)
y + 4 = 5/3 * (x + 9)
2) (3, -4)
3) y + 3 + 3/5 (x - 6)
In parallelogram ABCD, AE=x2−8and CE=2x.
What is AC?
Responses
4
4
8
8
16
16
24
24
A parallelogram A B C D with diagonals that intersect at point E.
Answer:
Step-by-step explanation:
ac is Definition: Alternating Current (AC) is a type of electrical current, in which the direction of the flow of electrons switches back and forth at regular intervals or cycles. Current flowing in power lines and normal household electricity that comes from a wall outlet is alternating current.
A maple tree can grow on average to be 90 feet tall. Redwood trees can grow to be \large 2\frac{2}{3} times bigger than a maple tree. What is the average height of a Redwood tree?
Average height of a Redwood tree is 240 feet
What are mixed numbers?A mixed number is a fraction that has an integer part and a fractional part. For example,[tex]\large 3\frac{1}{7}[/tex] is a mixed fraction. Also called a mixed number. Following are the steps to convert mixed fractions to improper fractions:
Multiply the denominator of the fraction part with the whole number part.Add the numerator to the product obtained from step 1.Write the improper fraction with the sum obtained from step 2 in the numerator/denominator form.Given,
Average height of maple tree = 90 feet
Average height of a Redwood tree is [tex]\large 2\frac{2}{3}[/tex] times 90
So, average height of a Redwood tree will be = [tex]\large 2\frac{2}{3}[/tex] × 90
Convert [tex]\large 2\frac{2}{3}[/tex] to improper fraction which is [tex]\frac{8}{3}[/tex]
= [tex]\frac{8}{3}[/tex] × 90
= 8 ×30
= 240 feet
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What is the approximate surface area of an AA battery?
a. 5,583 mm^2
b. 1,242 mm^2
c. 2,176 mm^2
d. 2,485 mm^2
The approximate surface area of an AA battery would be = 5,583 mm^2. That is option A.
What is an AA battery?An AA battery is defined as the type of battery that is used to supply chemical energy to electronic gadgets.
The AA battery has the shape of a cylinder and the formula for the surface area of cylinder:
h = 49.5mm
r = 14mm
π = 3.14
A=2πrh+2πr²
A = (2×3.14 ×14×49.5)+ (2× 3.14×14²)
A = 4,352.04 + 1,230.88
A = 5582.92
Therefore the surface area of the AA battery is approximately 5,583 mm^2.
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Answer: D. 2,485 mm²
Step-by-step explanation: Right on Plato
find the the slope that passes through (5,14 and (8,7)
We find the slope(m) by replacing the values in the following expression:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]That is:
[tex]m=\frac{7-14}{8-5}\Rightarrow m=-\frac{7}{3}[/tex]So, the slope equals -7/3.
The Toyota Camry was the top-selling
passenger car in the United States in
2007, followed by the Honda Accord.
Accord sales were 81 thousand less than
Camry sales, and 865 thousand of the
two types of cars were sold. How many
of each make of car were sold?
The total no of Accord sold and The total no of Camry sold are 392000 and 473000 respectively.
What is addition?In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
The total no of Accord sold = The total no of Camry sold - 81000,
According to question
The total no of Accord sold + The total no of Camry sold = 865000
The total no of Camry sold - 81000+The total no of Camry sold =865000,
The total no of Camry sold = 865000+81000 / 2
The total no of Camry sold = 473000, and
The total no of accord sold = 473000 - 81000 = 392000,
Therefore, the total no of Accord sold and The total no of Camry sold are 392000 and 473000 respectively.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
so you have too..
2x^2-3x=1
i need a step by step please
The solutions of the quadratic equation are:
x = 7/4
x = -1/4
How to solve the quadratic equation?Here we have the quadratic equation:
2x^2 - 3x = 1
Remember that the general quadratic equation:
a*x^2 + b*x + c = 0
Has the solutions:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
Then our quadratic equation:
2x^2 - 3x = 1
2x^2- 3x - 1 = 0
The solutions are:
[tex]x = \frac{3 \pm \sqrt{(-3)^2 - 4*2*-1} }{2*2}\\\\x = \frac{3 \pm 4}{4}[/tex]
So the two solutions are:
x = (3 + 4)/4 = 7/4
x = (3 - 4)/4 = -1/4
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Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.Each slice of pie sells for $3.50.Part A:Write an expression to represent Cindy's profit is she sells b slices of blueberry pie and c slices of cherry pie. Part B:Cindy sells 24 slices of blueberry pie and 15 slices of cherry pie. The next day, she sold 26 slices of blueberry pie and 17 slices of cherry pie. What was her total profit?
A) 3.5a +3.5b ≥ 128.09 B) Total profit: $158.91
1) Gathering the data
$65.25 ingredients for blueberry pies
$62.84 cherry pie
Each slice
3.50
A) Since Cindy's profit relies on her sales we can write
b = slices of blueberry
c = cherry pie slices
3.50b +3.50a ≥ 65.25+62.84
3.5a +3.5b ≥ 128.09
B) Gathering those data and adding the number of slices that were sold:
1st day
b= 24
a =15
2nd day
b=26
a=17
Plug into that:
Profit: 3.5(15+17) + 3.5(24+26)
P =287
$287 was the total revenue
Cherry pie cost of production 62.84
3.5(15+17)=112
Profit = 112 -62.84
Profit = $49.16
Blueberry cost of production: $65.25
3.5(24+26) =175
175 - 65.25 =109.75
Profit $ 109.75
Total profit: $158.91
can anyone help me????
⇒The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
[tex]2a=(a+10)+44\\2a=a+54\\2a-a=54\\a=54[/tex]
⇒The exterior angle in this case NOTE IT IS 2a NOT a
⇒Therefore Exterior angle is =2(54°)
=108°
The answer is 108°
Answer:
68°
Step-by-step explanation:
We know that,
the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.
Accordingly,
44 + a + 10 = 2a
First, subtract a from both sides.
44 + 10 = 2a - a
34 = a
Now let us find the measure of the exterior angle.
2a
2 × 34
68°
Find the length of one side of a square inscribed in a circle that has a radius of 4 cm.
The length of one side of a square = 8 cm
To find out the length of one side of a square that is inscribed in a circle that has a radius of 4 cm:
Since the square is inscribed in the circle, a diagonal
of the square is a diameter of the circle.
The diameter of the circle = 2 x radius = 8 cm .
The diagonal of the square = 8 cm.
The diagonal of a square is (length of a side) x (√8).
Side x √8 = 2√2 cm
Divide each side by √2:
Side = 8 cm / √2 = 8 √2 / √2 = 8 cm.
Hence the answer is the length of one side of a square = 8 cm
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9. A variety box of donuts has 4 sprinkle
donuts, 5 glazed donuts, and 3 cream filled
donuts. The expression 4b + 5b + 3b
represents the total number of donuts in
b boxes. Write an expression in simplest
form to represent the total number of
donuts. (Example 2)
It is as simple as adding the probability of each event and then subtracting the probability of both events occurring to calculate the probability of either one of two events occurring: P(A or B) = P(A) + P(B) - P(A or B)
What are the addition Rule probability of two or more events occurring .
P (A or B) denotes the probability of two or more events occurring. The symbol represents the outcomes of event A or event B and means "union" (or both).
P(A) = P(A) + P(B) - P(AB)
The events have no outcomes in common if they are mutually exclusive (disjoint).
Then P(A) = 0.
Here are some simple examples to get you started...
A box includes three glazed doughnuts, four jelly doughnuts, and five chocolate doughnuts. Determine the probability that a person will choose a glazed doughnut or a chocolate doughnut at random.
If the two events are mutually exclusive (also known as disjoint), they cannot both occur!
If neither can happen, P(A and B) is 0. Therefore,
P(A) + P(B) = P(A) + P(B).
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How long does it take General Nanisca and the Agojie warriors to get
to the Oyo Empire if they are traveling 23 kilometers per sec to miles per hour?
The given speed in kilometers per sec to miles per hour is 51449.534 mph.
Given that, the Oyo Empire if they are traveling 23 kilometers per sec.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Now, the conversion of kilometers per sec to miles per hour is as follows:
To convert a kilometer per second measurement to a mile per hour measurement, divide the speed by the conversion ratio.
Thus, mph = km/s ÷ 0.00044704
Now, 23/0.00044704
= 51449.534 miles per hour
Hence, the given speed in kilometers per sec to miles per hour is 51449.534 mph.
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HELP PLSSS CAN SOMEONE SOLVE THIS
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c being the sides, A, B, C being the opposing angles of the sides.
and remember, the sum of all angles in a triangle is 180°.
so,
JL/sin(90) = KL/sin(72)
JL/1 = KL/sin(72)
KL = JL × sin(72) = 10 × 0.951056516... =
= 9.51056516... ≈ 10
JK/sin(L) = JL/sin(90) = JL
JK = JL × sin(L)
angle L = 180 - 90 - 72 = 18°
JK = JL × sin(18) = 10 × 0.309016994... =
= 3.09016994... ≈ 3
Andrew spent $12 on 25 Twix bars.How many did each twixt bar cost him?
Answer: 48 cents on each twix bar
Step-by-step explanation: divide 12 by 25, which would come out to 0.48, to ensure this is correct you can multiply 0.48x25 and it would be 12
he spent 48 cents on each twix bar
(division)
Please help me i have tried this for two days
Given the functions:
[tex]\begin{gathered} f(x)=x^2 \\ g(x)=x^2+4 \end{gathered}[/tex]We will find the following composite functions:
a) f o g:
[tex]\begin{gathered} (f\circ g)(x)=(x^2+4)^2 \\ (f\circ g)(x)=x^4+8x^2+16 \end{gathered}[/tex]The resulted function is a polynomial function
The domain of the function is all real numbers
b) g o f:
[tex]\begin{gathered} (g\circ f)(x)=(x^2)^2+4 \\ (g\circ f)(x)=x^4+4 \end{gathered}[/tex]The domain of the function is all real numbers
c) f o f:
[tex]\begin{gathered} (f\circ f)(x)=(x^2)^2 \\ (f\circ f)(x)=x^4 \end{gathered}[/tex]The domain of the function is all real numbers
d) g o g:
[tex]\begin{gathered} (g\circ g)(x)=(x^2+4)^2+4 \\ (g\circ g)(x)=x^4+8x^2+16+4 \\ \\ (g\circ g)(x)=x^4+8x^2+20 \end{gathered}[/tex]The domain of the function is all real numbers
VWXY is a parallelogram. Find the measure of XY and WY 8
Remember that
in a parallelogram, the diagonals bisect each other
that means
VZ=ZX
substitute given values
n+7=3n
solve for n
3n-n=7
2n=7
n=3.5
therefore
VX=(n+7)+3n ----> by addition segments postulate
VX=4n+7
substitute the value of n
VX=4(3.5)+7
VX=21The cost of producing pens is $5.00 to set up the machine and $0.10 per pen. Each pen sells for $0.30. How many pens must be sold for the cost of production to equal the income?
Answer:
x=25
Step-by-step explanation:
0.3x = 5+0.1x
0.3x-0.1x = 5
0.2x = 5
x = 5/0.2
x= 50/2
x=25
There are 10 number cards, numbered 1 - 10, what is the probability of randomly selecting an even number from the cards? Determine the likelihood of this event.The subject is math.
SOLUTION
Since they are 10 cards, the total possible outcome is 10.
There are five cards bearing even numbers. These are 2, 4, 6, 8 and 10
[tex]\begin{gathered} \text{Probability = }\frac{n\text{umber of outcomes}}{\text{total possible outcomes }} \\ \\ \text{Probability = }\frac{5}{10\text{ }} \\ \\ \text{= }\frac{1}{2} \end{gathered}[/tex]