**When we want to find the slope of a line, **

We find two points and connect them to form a right triangle.

We then divide the increase in the [tex]y[/tex]-axis by the increase in the [tex]x[/tex]-axis to find the slope.

Since the line is tilted to the right, the slope is positive.

In 5.2, which digit is in the tenths place?

**Answer:**

2

**Step-by-step explanation:**

The number right after the decimal is the tenths place.

More in-depth example:

1.234

1 is your integer(regular number)

2 is your tenths

3 is hundreths

4 is thousandths

Find WI if IE = 3

EW and YG are medians of AXYW

Based on the **median **and the** centroid theorem**, the **length **of WI is 6 units.

The **line **that joins the **vertex **of a triangle to the **midpoint **of the side it is directly opposite is called the **median **of a triangle.

According to the **centroid theorem**, since J is the centroid of triangle XYW, then:

the length of IE is 1/3 of the length of **segment **EW.

Thus, the **equation **that relates the length of the segments is;

IE = 1/3(EW)

Given that:

IE = 3 units

Now **Substitute **the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

The Length of WI = the **length **of EW - the length of IE

**Substitute**;

Length of WI = 9 - 3

**Length **of WI = 6 units.

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* 100 POINTS *

At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost

$2.35. One day, the receipts for a total of 172 cones and sundaes were

$294.20. How many cones were sold?

You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you

purchase 6 gal of paint and 2 brushes for $113.00. How much does each

gallon of paint and each brush cost?

Two separate questions. 100 points for both answered. Brainliest if both answered.

**Answer:**

**1.) 88 cones were sold**

**2.) $17.00 per gal of paint; $5.50 per brush**

**Step-by-step explanation:**

1.) ($1.10(88)= $96.80) + ($2.35(84)= $197.40)= $294.20

2.) I have a really complicated process, and it's really late at night where I am

**Answer:**

For the first question, **88** cones were sold

For the second question, a gallon of paint costs **17** dollars and a brush costs **5.5** dollars (that is, 5 dollars and 50 cents).

**Step-by-step explanation:**

For the first question,

Let the number of ice cream cones be represented by the letter 'x'

And the number of sundaes be represented by the letter 'y'

[tex](1.10x + 2.35y) = 294.20 \: \: \: equ.2 \\ (x + y) = 172 \: \: \: equ.1[/tex]

Solving it simultaneously, subtract equ. 2 from equ. 1

[tex]0.10x - 1.35y = 122.20[/tex]

Making x the subject,

[tex]x = \frac{122.20 + 1.35y}{0.10} [/tex]

Substitute the value of x above in equ. 1

[tex] \frac{122.20 + 1.35y}{0.10} + y = 172[/tex]

L. C. M = 0.10

Multiply through by the L. C. M

[tex]122.20 + 1.35y + 0.10y = 17.2[/tex]

Collect like terms

122.20 - 17.2 = - 1.35y - 0.10y

105 = - 1.25y

[tex]y = \frac{105}{1.25} = 84[/tex]

Substituting the value of y in equ. 1

[tex]x + 84 = 172 \\ x = 172 - 84 \\ x = 88[/tex]

Therefore, 84 sundaes were sold and **88**** ****ice-cream**** ****cones**** ****were**** ****sold****.**** **

For the second question, let paint represent 'p' and brush represent 'b'

[tex]8p + 3b = 152.5 \: \: \: equ2 \\ 6p + 2b = 113 \: \: \: equ1[/tex]

Solving simultaneously,

Subtract equ2 from equ 1

[tex]2p + b = 39.5 \\ b = 39.5 - 2p[/tex]

Substituting the value of b in equ1

[tex]6p + 2(39.5 - 2p) = 113 \\ 6p + 79 - 4p = 113[/tex]

Collect like terms

[tex]2p = 113 - 79 \\ 2p = 34 \\ p = 17[/tex]

Substituting the value of p in equ1

[tex]6(17) + 2b = 113 \\ 102 + 2b = 113[/tex]

Collect like terms

[tex]2b = 113 - 102 \\ 2b = 11 \\ b = 11 \div 2 \\ b = 5.5[/tex]

Therefore, a gallon of paint costs **17 dollars** and a brush costs **5.5 dollars**** ****(****i****.****e**** ****5**** ****dollars****,**** ****50**** ****cents****)**** **

HELP PLEASE ILL MARK U BRAINLIEAST!!

this is for geometry can someone please help me find the missing angles?

x=50

y=40

Explaination: the 90 degree angles are labeled with the little square and 50 + 40 = 90

y=40

Explaination: the 90 degree angles are labeled with the little square and 50 + 40 = 90

**Answer:**

x = 50° , y = 40°

**Step-by-step explanation:**

x and 40° form a right angle and sum to 90° , that is

x + 40° = 90° ( subtract 40° from both sides )

x = 50°

x and y form a right angle and sum to 90° , then

x + y = 90°

50° + y = 90° ( subtract 50° from both sides )

y = 40°

round 64,926 cs im lazy

**Answer:**

65

**Step-by-step explanation:**

took the test and passed. I love helping others and so I hope this helps

a pet store owner believes that dog owners spend more on average than cat owners on their pets. the owner randomly records the sales of 40 customers that said they only owned dogs and 40 customers that said they only owned cats. what is the correct decision and summary based on the excel output below? assume the populations are approximately normally distributed with unequal variances.

The correct decision and summary based on the excel **output** below is **Standard Error** =5.389361. and **P-value**=0.5364.

Two sample T summary **hypothesis** test:

[tex]u_{1[/tex] : Mean of Population 1

[tex]u_{2}[/tex] : Mean of Population 2

[tex]u_{1} -u_{2}[/tex] : Difference between two means

[tex]H_{0}[/tex] : [tex]u_{1} -u_{2}[/tex] = 0

[tex]H_{a}[/tex] : [tex]u_{1} -u_{2}[/tex]

0

(without pooled variances)

**Hypothesis** test results:

Difference = u1-u2

Sample Diff=3.34725

**Standard Error** =5.389361.

DF=77.988073

T-Stat=0.62108476

**P-value**=0.5364

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If x=3yz^2, what is y in terms of x and z?

Two or more** expressions** with an Equal sign is called as** Equation. **y=x/3z^2 for** equation** x=3yz^2 in terms of x and z

Two or more expressions with an Equal sign is called as Equation.

The given** equation** is x equal to three y z square.

x=3yz²

We need to **solve** for y.

We need to** separate** y from other **variables**.

**Divide** both sides by 3z²

x/3z²=y

Hence y=x/3z² for** equation** x=3yz² in terms of x and z

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can someone please help solve this math problem with solution? thank u!

**Answer:**

the answer is 196

63^2-49^2

(7×9)^2 -(7×7)^2

7^2 (9-7)

7^2 ×2^2

49 × 4

196

**Answer:**

1568

**Step-by-step explanation:**

i simplified the expression

what is the y- intercept of y=4+x

**Answer: **the y-intercept of this equation is **(0,4)**

**Step-by-step explanation: **

What’s 8(2y-6x)=4+2x as a sentence?

**Answer:**

8 times 2y minus 6x is equal to 4 plus 2x

g(x) = −5x + 2, find g(–4).

**Answer:**

g(x)=22

**Step-by-step explanation:**

Substitute -4 into the equation.

**g(x)= -5x+2**

**g(-4)= -5(-4)+2**

**g(-4)= 20+2**

**g(-4)= 22**

what is the constant porpotionality of y=7.29x

**Answer:**

7.29

**Step-by-step explanation:**

the equation of proportionality is

y = kx ← k is the constant of proportionality

y = 7.29x ← is in this form with k = 7.29

0:3:4=9:y

Find y please

Based on the **ratios **given of 0.3 : 4 = 9 : y, the** value of y** can be found to be 120

From the given **ratios **of 0.3 : 4 = 9 : y, we can infer that these are **equivalent ratios**.

This means that** **y** **is to 9, what 4 is to 0.3.

The** value of y** can therefore be found by direct proportion:

0.3 : 4

9 : y

Cross multiplying gives:

0.3 y = 36

y = 36 / 0.3

y = 120

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I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(

**Answer:**

**Step-by-step explanation:**

To find the cost of the apples, simply multiply the cost by how much Derek buys. So: **3.8 * 1.35= 5.13**.

So, **For Part A the answer is A.**

For Part B: We need to find the total cost of both apples and oranges. We already know the total cost of apples is 5.13. We need to find the cost of oranges.

We multiply:

5.2* 1.45= 7.54

Now, add the totals together: 7.54+5.13

The total is 12.67.

If Derek payed with a 20 dollar bill, we would subtract 20 with 12.67.

The answer is** 7.33**. **So the answer is A.**

you find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. what is the approximate age of the bone?

The approximate **age **of the **bone **is 22920

The** half-life** of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.

since we know for half time

**N = N₀(1/2) n ** ..........1

where n is the new amount whereas N₀ is the initial amount and n is the number of ** half time **

since the ratio of 14c:12c is 1/16

so the equation 1 gets converted to

N/No =(1/2)n

=>1/16 = (1/2)n

=>(1/2)4 = (1/2)n

=> n= 4

So the age of the bone will be 4* 5730 =22920

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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?

Mrs. Hull calculated the measure of central tendencies for the two plants in her science class. The measures are recorded below.Which measure of central tendency would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants?

The measure of **central tendency** that would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants is the **median****.**

The definition of **central tendency** is the statistical metric that identifies a single value as representative of a whole **distribution**. It strives to provide a complete explanation of the data. It is the single most representative number from the obtained data.

A measure of central tendency is a single value that seeks to represent a set of data by identifying the data's central position. The **mode** measurement is the one with the highest frequency.

When plants are placed in a circle, the **median** is the measurement of the middle plant provided in descending be order of sizes.

When there are a few extreme scores in the data distribution, the **median** is the recommended measure of the **central** **tendency**.

In conclusion, the correct option is the **median**.

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PLS HELP ASAP (100 POINTS) The equation for the line of best fit for change in temperature, y, to amount of snow, s, is given by ŷ = − 2.6s + 1.1. On Friday, the observed amount of snow was 1.3 inches and the temperature change was 1.2 degrees. Find and interpret the residual.

1.08; The line of best fit underpredicts the temperature change.

−1.08; The line of best fit overpredicts the temperature change.

−3.48; The line of best fit overpredicts the temperature change.

3.48; The line of best fit underpredicts the temperature change.

**residual = 3.48**

**The line of best fit underpredicts the temperature change.**

============================================================

Explanation:

If s = 1.3, then ŷ is...

ŷ = -2.6s + 1.1

ŷ = -2.6*1.3 + 1.1

ŷ = -2.28

This is the estimated or predicted y value based on the input s = 1.3

Let's now compute the residual

e = residual error

e = (observed y value) - (predicted y value)

e = y - ŷ

e = 1.2 - (-2.28)

e = 1.2 + 2.28

**e = 3.48 is the residual**

A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, **the line of best fit ****under-predicts** **the temperature change.**

Which of the following transformations would make corresponding line segments between a pre-image and image not be parallel?

The transformation of **rotating 90° around a point not on the line segment** would make corresponding line segments between a pre-image and image **not be parallel**.

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the vertices of PQR are P(-5,1), Q(-4,6), and R(-2,3), graph P"Q"R" after a composition of the transformations in the order they are listed.

**SOLUTION **

We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).

In P(-5,1), x = -5 and y = 1

In Q(-4,6), x = -4 and y = 6 and

In R(-2,3), x = -2 and y = 3

[tex]\begin{gathered} P(-5,\text{ 1) translates to (-5 -8, 1) }\rightarrow P^i(-13,\text{ 1)} \\ Q(-4,\text{ 6) translates to (-4 -8, 6) }\rightarrow Q^i(-12,\text{ 6)} \\ R(-2,\text{ 3) translates to (-2 -8, 3) }\rightarrow R^i(-10,\text{ 3)} \end{gathered}[/tex]For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.

[tex]\begin{gathered} At\text{ K = 2, }P^i(-13,\text{ 1) }\rightarrow\text{ }2(-13,\text{ 1) }\rightarrow\text{ }P^{ii}(-26,\text{ 2)} \\ Q^i(-12,\text{ 6) }\rightarrow\text{ }2(-12,\text{ 6) }\rightarrow\text{ Q}^{ii}(-24,\text{ 12)} \\ R^i(-10,\text{ 3) }\rightarrow\text{ }2(-10,\text{ 3) }\rightarrow\text{ R}^{ii}(-20,\text{ 6)} \end{gathered}[/tex]Part D

At one point on the trip, the miles are recorded as 15,121 when the gas tank is

75% full. Use a ratio equation to determine the miles per gallon the sedan

averages. Round your answer to the nearest whole number.

The sedan gets 1090** miles** per **gallon** on average, according to the ratio equation.

A ratio is an** ordered** pair of numbers a and b, denoted by the a / b, where b is not equal to **zero.**

If there are **eight **oranges and **six** lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six.

Given: When the gas tank is 75% full, the mileage is recorded as 15,121.

A sedan tank is typically 18.5 gallons in size. So it holds 13.875 gallons of gas if it is 75% full. If it traveled 15,121 miles, the mileage per gallon is 1090, rounded to the nearest whole number.

The calculation of miles per gallon using the ratio equation:

Let, x = miles per gallon

15121:13.875 is the ratio.

x/1= 15121/13.875

13.875x = 15121

x = 15121/13.875

x = 1089.80, which equates to 1090 miles per gallon

As a result, the **ratio **equation used to calculate the sedan's miles per gallon **averages** 1090 miles per gallon.

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A savings account increases from 200$ to 208$. What is the percent increase of the savings account?

I think the answer is 4%

Allison heads out on a three day sailing trip. On the first day, she sails 45 miles east and 15 miles north. On the second day,

she leaves from the exact location she ended the day before and makes it 35 miles east and 30 miles south. On the third

day, she gains another 15 miles east and 55 miles south. At the end of her final day, how far is she from her initial starting

point? Round your answer to the nearest whole number.

**Answer:**

118 miles

**Step-by-step explanation:**

Explanation in photo attached

0.4υ – (3ω + 9) Write an equivalent expression by distributing the “-“ sign outside the parentheses

The **equivalent expression** for the given expression is 0.4υ - 3ω - 9.

The given expression is 0.4υ - (3ω + 9).

What is an equivalent expression?Equivalent expressions are **expressions** that work the **same** even though they look different. If two algebraic expressions are **equivalent**, then the two **expressions** have the same value when we plug in the same value for the **variable**.

The equivalent expression for the given **expression** can be written as follows:

0.4υ - (3ω + 9)=0.4υ - 3ω - 9

Therefore, the **equivalent expression** for the given expression is 0.4υ - 3ω - 9.

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A rectangular park is 40 yards wide. Then a city planner designs a path that is 1 yard wide to run all the way around the park. Now the area of the park plus the path is 4200 yd.² how long is the park not counting the path?

The **park** is **98 yards long**, not counting the path.

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Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.

5=2/3(6)+1, 5=12/3+1, 5=4+1, 5=5 | 8=2/3(9)+1, 8=18/3+1, 8=6+1, 8≠7. Thé second one is incorrect but the first one is correct because if you plug in the x and y that is what you would get.

a manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of 1.3 inches. if one item is chosen at random, what is the probability that it is less than 16.4 inches long?

The **probability** of the random item chosen that it is less than 16.4 inches long is 2.7%

**Probability** means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the **probability** that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the** probability** that the event will not occur.

Variance of sample **mean** =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample **mean** be shorter than 16.4 inches.

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trucks in a delivery fleet travel a mean of 110110 miles per day with a standard deviation of 2626 miles per day. the mileage per day is distributed normally. find the probability that a truck drives at least 125125 miles in a day. round your answer to four decimal places.

The **probability** that a truck drives at **least** 125125 miles in a day is 0.6839.

Given

trucks in a delivery fleet** travel **a mean of 110110 miles per day

standard deviation of 2626 miles per day

To find

find the** probability **that a truck drives at least 125125 miles in a day

Solution :

μ = 110

σ = 26

P ( 63 < x < 125 )

= P [ ( 63 - 110 ) / 26 < ( x - μ ) / σ < ( 125 - 110 ) / 26 ]

= P ( - 1.81 < z < 0.58 )

= P ( z < 0.58 ) - P ( z < -1.81)

using **standard **normal table

= 0.7190 - 0.0351

= 0.6839

Probability = 0.6839 .

Hence the probability that a truck drives at** least** 125125 miles in a day is 0.6839

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Rule 1: Add 3 starting from 0. Rule 2: Add 9 starting from 0. Complete the first 5 terms using the rules. How are the corresponding terms related?

Given the following question:

Rule one: + 3

Rude two: + 9

3, 6, 9, 12, 15

3 + 3 = 6 + 3 = 9

9 + 3 = 12 + 3 = 15

= 15

9, 18, 27, 36, 45

9 + 9 = 18 + 9 = 27

27 + 9 = 36 + 9 = 45

= 45

We are now given..

3, 6, 9, 12, 15

9, 18, 27, 36, 45

They are related because these terms also have a rule, if you mutlply 3, by 3 we get 9, if we multiply 6 by 3 we get 18. The second sequence is three times the corresponding term in the first sequence or the first option.

Your answer is the** first option.**

What pattern do you notice in these two

measurements,

10.3 cm and 103 mm?

they are the same just without a decimal/ one is in the tenths place and the other is a whole number

algebra 1. g(x)=x^{2}-x, g(3b)

The **output value **of g( 3b ) in the **function **g( x ) = x² - x is 9b² - 3b.

A **function **is simply a **relationship **that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

g( x ) = x² - xg( 3b ) = ?To determine the **output value **of g( 3b ), replace all the occurrence of x with 3b in the **function **and simplify.

g( x ) = x² - x

g( 3b ) = (3b)² - 3b

Apply product rule

g( 3b ) = 3²b² - 3b

Raise 3 to the power of 2

g( 3b ) = 9b² - 3b

Therefore, the **output value **of g( 3b ) is 9b² - 3b.

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a student is working with a flowering plant in which nectar is deeply placed in the flowers. when the student discovers the natural pollinator of this plant, it is most likely to have
calculate the number of moles in 1.0 10^21 atoms
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