Equation of the line passing through (7,5) and (1, 2)
Answer:
[tex]y = \frac{1}{2}x + \frac{3}{2}[/tex]
Step-by-step explanation:
Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:
plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]
and solving for b, we get b = [tex]\frac{3}{2}[/tex]
therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].
hope this helps!
May 31.2022
15. Suppose a kite is being flown with 135 meters of string. If the kite forms
a 47° angle with the level ground as shown in the diagram below, how
high is the kite to the nearest meter?
Answer:
99 m to nearest metre.
Step-by-step explanation:
Hypotenuse = 135, opposite side = ?
- so we need the sine function
sin 47 = x / 135 were x is the height of the kite.
x = 135 * sin 47
= 98.73 m
a lion gamer spent a total of 400$. the circle graph shows what percent was spent on each item. find the amount spent on a.costume b.chairs c. whips
B. chair no costume also whips
Please help on this math question!!!
(Score for Question 1: ___ of 10 points)
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon.
(a) Diane brought 4.5 gallons of water to a campout. How many ounces of water did she bring? Show your work.
(b) Diane started a hike with 24 ounces of water in her backpack. What fraction of a gallon of water did she start the hike with? Show your work.
Answer:
The total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
What is cost price per ounce?The cost price per ounce is the amount of money required to buy one ounce of a brand or goods.
To find the cost price per ounce, divide the total amount of cost of the goods to the total number of goods.
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon. Diane brought 4.5 gallons of water to a campout. Let x ounces of water, did she bring. Thus,
[tex]x=4.5\times16\times8\\x=576\rm\; ounces[/tex]
Diane started a hike with 24 ounces of water in her backpack. The fraction of gallons in 24 ounces is,
[tex]n=\dfrac{24}{8\times16}\\n=\dfrac{3}{16}[/tex]
Thus, the total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
Learn more about the cost price per ounce here;
https://brainly.com/question/18628158
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=3), n=8, p=0.2
Answer:
P(X = 3) = 0.14680064
Step-by-step explanation:
Formula=============================
[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]
……………………………………………………………………..
Given :
n = 8
p = 0.2
1 - p = 1 - 0.2 = 0.8
k = 3
Then
[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]
[tex]=0.14680064[/tex]
A cube has a volume of 64 cubic inches. If you double the length of each edge what will be the volume of the new cube?
Answer:
512 cubic inches
Step-by-step explanation:
[tex] \sqrt[3]{64} = 4[/tex]
[tex] {8}^{3} = 512[/tex]
What are the zeros of the function f(x) = (x+5)(2x-7)?
A. x = -5 and x = 4
B. x = 5 and x = -4
C. x = -5 and x = 8
D. x = 5 and x = -8
Answer: A
Step-by-step explanation:
[tex]$$Solve for $x$ :$$(x+5)(2 x-7)=0$$Split into two equations:$$x+5=0 \text { and } 2 x-7=0$$Subtract 5 from both sides: $x=-5$ and $2 x-7=0$ \\Add 7 to both sides: $x=-5$ and $2 x=7$\\Divide both sides by 2:\\Answer:$$x=-5 \text { and } x=\frac{7}{2}$$[/tex]
Rounding up for 2nd zero = 7/2 = 3.5
Therefore, the zeroes of the function (rounded to whole numbers) are x = -5 and x = 4
Answer:
the answer is c
Step-by-step explanation:
to find the zeros set
f
(
x
)
=
0
(
3
x
−
5
)
(
2
x
+
7
)
=
0
equate each factor to zero and solve for x
2
x
+
7
=
0
⇒
x
=
−
7
2
3
x
−
5
=
0
⇒
x
=
5
3
Order these numbers from least to greatest, -3 1/2 , -3, -4, -3 3/4
Answer:
-4, -3,-3,1/2,3/4
Step-by-step explanation:
this should be right
Bob's living room floor is a rectangle that measures 9 feet by 12 feet. What is the diagonal distance, in feet, across the floor? A. 13 B. 15 C. 16 D. 21
Answer:
B
Step-by-step explanation:
here, we can use the pythagorean theorem. more info here: https://en.wikipedia.org/wiki/Pythagorean_theorem
formula: a^2+b^2=c^2
so we can apply the formula by doing this:
9^2+12^2=c^2
81+144=c^2
81+144=225
c=√225
c=15
solved
Directions: Write your answers on your paper.Show your solutions with checking.
#1. Convert the decimal number 10 to a binary digit.
#2.Give the types of Mult-meter (VOM) and differential each function.
Nonsense = Reported!!
Answer:
1010See below ~Step-by-step explanation:
Q1
Decimal number 10 written in binary terms is 1010Q2
There are different types of multimeters like Analog, Digital, and Fluke multimetersFunctions :Resistance in OhmsCapacity in FaradsThe temperature in Fahrenheit/ CelsiusAC Voltage & AmperageInductance HenrysDC Voltage & AmperageFrequency in HzConductance in SiemensDecibelsDuty Cyclehope it helps you
# 1
Conversion of decimal number 10 into binary is:
10 / 2 = 5 with remainder 0
5 / 2 = 2 with remainder 1
2 / 2 = 1 with remainder 0
1 / 2 = 0 with remainder 1
Therefore, the 10 in decimal is equal to 1010 in binary.
# 2
Analog multimeters are multifunction electrical measuring instruments with indicationby means of an arrow (analog) scale.
Modern analog multimeter
Advantages of analog multimeters:
Possibility to carry out measurements at low temperatures down to -30 ° С.Fast operation with a large amount of measurements, when high precision is not required.Do not require power consumption from the built-in power supply in the mode of voltage and current measurement.Instant display of the dynamics of the signal change.
Disadvantages and features:
Non-linear scale and setting zero before starting measurements.Absence of automatic detection of voltage polarity.A small set of functions: most models can measure only DC and AC voltage, DC current and resistance.Low input resistance and, consequently, a high error in low-voltage measurements.Sensitivity to mechanical damage, vibration.
Digital multimeters are modern, reliable measuring devices characterized by high measurement accuracy and various functional capabilities. Digital devices have replaced analogue in connection with the possibility of wide application of semiconductor technologies. Today most of the produced multimeters are digital. Specialists working with electrical equipment, if necessary, can choose among the digital multimeters a model focused on a specific task.
Advantages of digital multimeters:
Maximum possible measurement accuracy.Automatic polarity detection: If the probes are connected incorrectly, the correct values with a minus sign appear on the screen.Possibility of automatic and manual selection of measuring ranges.Multifunctionality.Does not require mandatory zero adjustment.The accuracy of the meter reading does not depend on the battery charge.Resistance to mechanical damage.The ability to record measurement results in memory and synchronize with a PC.
Maria started the year with $235 in the bank and is saving $15 a week. Sergio started with $685 and is spending $35 a week. When will they both have the same amount of money in the bank? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.
Answer:
9 weeks
Step-by-step explanation:
let the time when they will both have the same amount be x
since Maria is saving then her money is bound to increase
therefore amount she will have after x weeks=235+15x
Sergio is spending so his money is reducing
therefore amount he will have after x weeks=
685-35x
so
235+15x=685-35x
685-235=15x+35x
450=50x
x= 450/50
9weeks
HELP Identify the exponential function shown in the graph
Answer:
C
Step-by-step explanation:
Points given are
(0,8) and (1, 16)
The first point given is the y-intercept, 8
The y-intercept of A is 2
The y-intercept of B is 16
The y-intercept of C is 8
the y-intercept of D is 16
The only one that works is C
find the volume of a rectangular pyramid
Answer:
192 yd³
Step-by-step explanation:
The volume of a rectangular pyramid is given by the formula:
[tex]V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}[/tex]
In this case: [tex]l = 9, w=8, h = 8[/tex]
[tex]\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3[/tex]
(y^2 - 3y - 5) - ( -y^2-7y+4 ):
A. 2y^2 +4y - 9
B. 2 y^2 - 10y +4
C. -2 y^2 -10y - 1
D.2y^2 -7y + 1
Answer:
[tex](y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9[/tex]
A is the correct answer
11.4 Conversions of Polar and Rectangular Coordinates
What are the approximate coordinates in the rectangular plane that represent the polar coordinates (6,- pi/6)
? Round values to the nearest thousandth.
Answer: A - (5.196, -3)
Step-by-step explanation: correct on ed
Question 8 of 8
Lori wants to buy the same number of pencils and
pens for school this year. Pencils comes in packs of
16, and pens come in packs of 4. What is the least
number of packs of each she could buy?
4 packs of pencils and 4
packs of pens
1 pack of pencils and 4
packs of pens
ne is being recorded
1 pack of pencils and 1 pack
of pens
4 packs of pencils and 1
pack of pens
SUBMIT
Answer:
1 pack of pencils and 4 packs of pens
Step-by-step explanation:
Because, 1 pack of pencils has 16. And 1 pack of pens has 4. So...
1 pack of pencils = 16 and 4 packs of pens = 4 + 4 + 4 + 4 which equals 16 too.
Hope this helps! :)
Find the indicated measure in LMNQ. Explain your reasoning.
Answer:
In Exercises 9 − 16, Ind the indicated measure in a LMNQ. Explain your reasoning. m ∠ L M N Answer m ∠ L M N = 80 ∘ View Answer Discussion You must be signed in to discuss. AS Ahin S. February 11, 2021 Find m?LMN in parallelogram LMNQ AS Ahin S. February 11, 2021 Watch More Solved Questions in Chapter 7 Problem 1 Problem 2 Problem 3 Problem 4
Step-by-step explanation:
4. Find the length of a diagonal of a rectangle ABCD with vertices A (-3, 1), B (-1, 3), C (3, -1),
and D (1,-3).
Answer:
Step-by-step explanation:
The measure of an angle is 5°. What is the measure of its supplementary angle?
Answer:
175 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Therefore the answer is:
180 - 5
= 175 degrees.
Hi Student!
The first step to almost any problem is that we must concentrate the important information that is given to us in the problem. This problem gives us information including that the measure of an angle is 5 degrees and that this angle is part of a supplementary pair. Let's define what a supplementary pair or angles are.
Supplementary Angles: These are two angles that are right next to each other on a straight line. These angles combine to a total of 180 degrees.Complementary Angles: These are two angles that are right next to each other but this time they are on a right angle. These angles combine to a total of 90 degrees.Now that we have our definitions and important information, we can move onto the next part which is actually finding the other angle. This step is simple now that we know that supplementary angles add up to 180. We can just create an equation that will help us determine our solution.
[tex]angle_1\ +\ angle_2 = 180\ degrees[/tex]
[tex]5\ degrees\ +\ angle_2 = 180\ degrees[/tex]
[tex]5\ degrees-5\ degrees\ +\ angle_2 = 180\ degrees-5\ degrees[/tex]
[tex]angle_2 = 175\ degrees[/tex]
Therefore, our final solution to the supplementary angle of 5 degrees is 175 degrees which can be found by subtracting the given angle from 180.
Hannah earns $4.50 each hour walking dogs. How much money will Hannah earn after 8
hours
Answer:
36 dollars
Step-by-step explanation:
4.50 times 8 = 36 dollars
b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment. Monthly Payment: Total Amount Paid:
Answer:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
Step-by-step explanation:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
I really need help with this Helpppp please
square of 5=25
square of 10=100
cube of (-2) =-8
square of (-3)=9
If you want to make a comment that won’t be seen in r console (output) use .. what
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print (“ “)
sum ()
rflip()
Simplify: x+2/x+3 - x/x-1
Answer:
[tex] \frac{ - 2x - 2}{ {x}^{2} + 2x - 3 } [/tex]
is the answer
Find the slope of the graph of C
Step-by-step explanation:
the slope of a line or linear equation is always the factor of the driving variable.
usually in the form of
y = ax + b
x is the variable, and a the slope.
but in our case the variable is called "n".
it does not matter, the same principle applies.
the slope is the factor of n : 1050.
and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.
so, the third answer is correct.
You need to spend at least $50 in one day to receive a store discount. You have already spent $30. Let s be the amount of money (in dollars) you can now spend to qualify
for the discount. Which inequality and solution represent this situation?
s+30<50; 8 < 20
s+30 ≤ 50; s ≤ 20
s+30> 50; 8 > 20
s+ 30 ≥ 50; 8 ≥ 20
Answer: s + 30 ≥ 50; s ≥ 20
Step-by-step explanation:
let s be the amount you have yet to spend in order to reach $50 or more
you already have $30.
This means you need to spend at least $20 more ($50 - $30 = $20)
S can be greater than or equal to $20 because your total will be 50 or more, therefore qualifying for the discount.
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
x = 104°
Step-by-step explanation:
The 142° and <DCE form a straight line, and a straight line measures 180°, do the two angles add up to it:
180° = 142° + m<DCE
m<DCE = 38°
The red symbol in <DCE and <CDE mean they are congruent, so m<CDE is the same as m<DCE, which is 38°.
The 142° angle is an exterior angle to triangle, DCE, an exterior angles are the sum of the remote interior angles, which are <CDE and <DEC. Therefore, we can write:
142° = m<CDE + m<DEC
And we can substitute the values we have:
142° = 38° + x
x = 104°
) Which expression is equivalent to 5(x + 7)?
Answer:
= 5x +35
Step-by-step explanation:
Steps
5(x+7)
Apply the distributive law: ab+c) = ab + ac
5(x+7) =5x + 5: 7
=5X+5: 7
Multiply the numbers: 5 7= 35
= 5x +35
HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00
What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >
HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00
What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >