In bluepoint, the average low temperature for January was 40F. The average low in February was 27%F lower. What was the average low in February?

∠C and ​ ∠D ​ are vertical angles

so <C = <D because vertical angles are equal

Substitute

−3x + 58  = x−2

Solve for x

Subtract x from both sides

-4x + 58 = - 2

Subtract 58 from both sides

-4x = - 60

Divide both sides by -4

x = 15

<D = x−2  = 15 - 2 = 13

Answer

<D = 13°

Answer:

The measure of angle D is 13°

Step-by-step explanation:

-3x+58=x-2

+3x to each side

58=4x-2

Add 2 to each side

60=4x

Divide each side by 4

X=15

Now substitute that in:

-3(15)+58=13

(15)-2=13

The measure of angle D is 13°

1.  2a=9b  first we will divide the both sides with parameter b and get

2(a/b)=9 now we will divide both sides with number 2 and get

a/b=9/2 => a : b = 9 : 2

2. 6a-3b=5b first we will add to both sides number (+3) and get

6a=5b+3b => 6a=8b then divide the both sides with parameter b and get

6(a/b)=8 now we will divide the both sides with number 6 and get

a/b=8/6 if we simplify the fraction we get  

a/b=4/3 => a : b = 4 : 3

3.  a+b=3b we will add to the both sides parameter (-b) and get

a=3b-b => a=2b then divide the both sides with parameter b and get

a/b=2 => a/b=2/1 => a : b = 2 : 1

4.  a/5=b/7 first we will divide the both sides with paremeter b and get

a/(5b)=1/7 now we will multiply the both sides with number 5 and get

a/b=5/7 => a : b = 5 : 7

Good luck!!!

The ratio a:b in the four problems given are 9:2, 4:3, 2:1, and 5:7 respectively. This is achieved by isolating 'a' in each equation and simplifying the resulting expression.

Let's find the ratio between a:b for each of the problems you've provided:

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Answer:

Deposit each quarter = $342.68

Step-by-step explanation:

Formula use in this problem:

[tex] FV=C\times \left [ \frac{(1+i)^n-1}{i} \right ]\times (1+i) [/tex]

Where,  

          FV is future value, FV=$3000

C is cash flow quarterly( need to find),C=?

I is rate of interest ( divide by 4), i=[tex] \frac{0.08}{4}=0.02 [/tex]

N number of cash flow, n=8

Substitute all these values into formula to solve for C

[tex] 3000=C\times \left [ \frac{(1+0.02)^8-1}{0.02} \right ]\times (1+0.02) [/tex]

[tex] C=\frac{3000\times 0.02}{[(1+0.02)^8-1]\times (1+0.02)}[/tex]

So, C=$342.68

Final answer:

To achieve $3000 in 2 years in an account with 8% interest compounded quarterly, you should deposit $364.11 each quarter.

Explanation:

To find out how much you need to deposit each quarter to have $3000 in 2 years in an account that pays 8% interest compounded quarterly, you would use the future value of a series formula given by:

S = R [((1 + i)^n - 1) / i]

Where:

S = the future value of the series (in this case, $3000)

R = the regular deposit amount per period (what we're solving for)

i = the interest rate per period (8% per year or 0.08 divided by 4 for quarterly = 0.02)

n = the total number of compounds over the period (2 years * 4 quarters/year = 8 compounds)

Plugging in our values:

$3000 = R [((1 + 0.02)^8 - 1) / 0.02]

$3000 = R * [((1.02)^8 - 1) / 0.02]

$3000 = R * 8.2432

So, solving for R, we get:

R = $3000 / 8.2432 = $364.11

Therefore, to have $3000 in 2 years with an account that pays 8% interest compounded quarterly, you need to deposit $364.11 at the start of each quarter.

Larry is 2365 feet above sea level. Hope this helps :o

Answer: the answer is b 2,741 sorry im late

B. is the graph that fills the requirements

Graph2 with slope of 25 is the graph that shows the relationship on the table.

To find the equation of the line passing through points A(3, 75) and B(12, 300) follow these steps:

1. Calculate the slope m:

m = (y₂ - y₁)/x₂ - x₁)

m = (300 - 75)/(12 - 3)

m = 225/9

m = 25.

Graph2 with same slope as the calculated slope is the graph that shows the relationship on the table.

2. Use the point-slope form with one of the points (e.g., A(3, 75)

y - y₁ = m(x - x₁)

y - 75 = 25(x - 3)

3. Simplify the equation:

y - 75 = 25x - 75.

4. Isolate y

y = 25x.

So, the equation of the line passing through points A(3, 75) and B(12, 300) is y = 25x

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If you distribute the multiplication, your function is written as

[tex] y=f(x)=3x-6 [/tex]

Like every function in the form [tex] y = mx+q [/tex], this function represents a line. A line has no vertex and no axis of symmetry (actually, it is symmetric with respect to every perpendicular line).

(3x^2 + 2x + 7X^3) + (10x^2 + 6x + 9)

Combine all the like terms.

There is only one term with X^3 so that stays the same.

Add 3X^2 and 10x^2 to get 13x^2.

Add 2x and 6x to get 8x.

There is only one term with a variable, so that also stays the same.

Now place them in order from highest exponent to lowest:

7x^3 + 13x^2 + 8x + 9

The answer is A.

2x+50=7x

50 = 5x

x = 10

2(10) + 50

20 + 50

= 70 degrees

Answer:

The correct answers are 40, 120, 240, and 320

Step-by-step explanation:

.

Answer:

1 ,3 , 4, 6

Step-by-step explanation:

its (a.) thats  it try it

we are given

[tex]f(x)=2x^4-x^3+x-2[/tex]

we can check each options

option-A:

-1,1

we can plug x=-1 and x=1 and check whethet f(x)=0

At x=-1:

[tex]f(-1)=2(-1)^4-(-1)^3+(-1)-2[/tex]

[tex]f(-1)=0[/tex]

At x=1:

[tex]f(1)=2(1)^4-(1)^3+(1)-2[/tex]

[tex]f(1)=0[/tex]

so, this is TRUE

option-B:

0,1

we can plug x=0 and x=1 and check whethet f(x)=0

At x=0:

[tex]f(0)=2(0)^4-(0)^3+(0)-2[/tex]

[tex]f(0)=-2[/tex]

At x=1:

[tex]f(1)=2(1)^4-(1)^3+(1)-2[/tex]

[tex]f(1)=0[/tex]

so, this is FALSE

option-C:

-2,-1

we can plug x=-2 and x=-1 and check whethet f(x)=0

At x=-2:

[tex]f(-2)=2(-2)^4-(-2)^3+(-2)-2[/tex]

[tex]f(-2)=36[/tex]

At x=-1:

[tex]f(-1)=2(-1)^4-(-1)^3+(-1)-2[/tex]

[tex]f(-1)=0[/tex]

so, this is FALSE

option-D:

-1,0

we can plug x=-1 and x=0 and check whethet f(x)=0

At x=-1:

[tex]f(-1)=2(-1)^4-(-1)^3+(-1)-2[/tex]

[tex]f(-1)=0[/tex]

At x=0:

[tex]f(0)=2(0)^4-(0)^3+(0)-2[/tex]

[tex]f(0)=-2[/tex]

so, this is FALSE

Given that Bart and Melinda are grand children and Bart lives

6 blocks from his grand parents.

Also given that Melinda lives 8 blocks farther from her grandparents as Bart does .

This means Melinda lives 6+8 = 14 blocks from her grand father house

This question involves addition because farther as Bart does means , Melinda lives 8 +6 hence we get 14

Answer is: Melinda lives 14 blocks from her grandfathers

I think your answer is B.

Answer:

Quadratic, because the height increases and then decreases.

Step-by-step explanation:

In an exponential function, the graph will either increase or decrease over the entire domain.  It does not change direction.

We can see from the table that the heights increase and then decrease; this means it cannot be an exponential function.

A quadratic function has a graph that is u-shaped.  It will start out either increasing or decreasing, and then after the maximum or minimum is reached, it changes direction.

We can see from the table that this is what the heights do; this means it is a quadratic function.

The digit in the hundred millions place is 9.

Final answer:

The digit in the hundred-millions place of the number 875,932,461,160 is 7.

Explanation:

The digit in the hundred-millions place of the number 875,932,461,160 is 7. Let's break down the places of the number:

So in the number 875,932,461,160, 7 is the digit in the hundred-millions place.

Answer : A

Example: 5 × 8 = 40

A.  8 × 5 = 40

the commutative property of multiplication allows us to multiply the numbers in any order without changing the product. In example we have 5 * 8 . When we change the order it becomes 8 * 5. So here applies commutative property of multiplication.

B.  10 × 4 = 40

the commutative property of multiplication allows us to multiply the numbers in any order without changing the product. In example we have 5 * 8 . When we change the order it becomes 8 * 5. So here it does not applies commutative property of multiplication.

C.  20 × 2 = 40

the commutative property of multiplication allows us to multiply the numbers in any order without changing the product. In example we have 5 * 8 . When we change the order it becomes 8 * 5. So here it does not  applies commutative property of multiplication.

(2, 0) would be the new x - intercept.

The equation of a parabola can be written in vertex form as:

y = a(x - h)² + k

Here, h represents the x-coordinate of the vertex. The x-intercepts of the parabola are the points where the parabola crosses the x-axis (i.e., where y = 0).

Given that one x-intercept is at (-4, 0), we know that x-intercepts are symmetrically located around the vertex. If the vertex's x-coordinate h is increased by 6, the entire parabola shifts horizontally to the right by 6 units.

Since the x-intercept is affected by the shift in the vertex:

Before the shift: one of the x-intercepts is at -4.

After the shift by h, the new x-intercept will be located 6 units to the right of the original intercept.

Therefore, the new x-intercept will be at:

-4 + 6 = 2

Solution :

Given that in the right triangle , ∠A=30° and AB = 12√3 .

As the figure is missing and its not clearly mentioned that AB is the base or hypotenuse of the right triangle. So two cases arises-

Case 1: AB is the base for ∠A of  the right triangle (as shown in figure 1).

As we know from the trigonometric ratio that, [tex]cos(\theta) = \frac{base}{hypotenuse}[/tex]

Here , AB is the base and AC is the hypotenuse , and ∠A=30°

[tex]\Rightarrow cos(30)=\frac{AB}{AC} \\\\\Rightarrow AC=\frac{AB}{cos(30)}[/tex]

The value of [tex]cos(30)=\frac{\sqrt{3} }{2}[/tex]

[tex]\Rightarrow AC=12\sqrt{3}\times\frac{2 }{\sqrt{3} }\\\\\Rightarrow AC=24[/tex]

Hence, AC is 24 unit long.

Case 2: AB is the hypotenuse for ∠A of  the right triangle (as shown in figure 2).

As we know from the trigonometric ratio that, [tex]cos(\theta) = \frac{base}{hypotenuse}[/tex]

Here , AB is the hypotenuse and AC is the base, and ∠A=30°

[tex]\Rightarrow cos(30)=\frac{AC}{AB} \\\\\Rightarrow AC=AB\timescos(30)[/tex]

The value of [tex]cos(30)=\frac{\sqrt{3} }{2}[/tex]

[tex]\Rightarrow AC=12\sqrt{3}\times\frac{\sqrt{3}}{2}\\\\\Rightarrow AC=18[/tex]

Hence, AC is 18 unit long.

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

[tex]P(\text{ getting a commemorative stamp})=0.16[/tex]

and

[tex]P(\text{getting a special delivery stamp})=0.18[/tex]

So, we need to find,

[tex]P(\text{getting either a commemorative or a special delivery stamp})\\=P(\text{getting a commemorative stamp})+P({\text{ getting a special delivery stamp})[/tex]

(∵they are independent events .)

[tex]P(\text{getting either a commemorative or a special delivery stamp})\\=0.16+0.18\\=0.34[/tex]

So, option 'D' is correct.

344 180 274 358 64 121 32 96 151 275 93 49

Out of the 12 numbers above, 5 (in bold type) are 100 or less.

5/12 = 0.41666...

Answer: 0.417

The probability that an employee selected randomly has a birthday in the first 100 days is 0.417

Recall :

Probability = required outcome / Total possible outcomes

Total possible outcomes :

Required outcomes :

Therefore,

Therefore, the selection probability is 0.417

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The original price of the computer was $411. This was found by adding the reduction amount to the final price, i.e., $355 + $56.

This question is concerned with a simple arithmetic operation. It's provided that the price of the computer was reduced by $56 to $355. The original price should thus be the markdown plus the final price.

Performing this calculation:
Add the amount of reduction ($56) to the current price ($355).

The solution is:
$355 (final price) + $56 (reduction) = $411 (original price)

Therefore, the original price of the computer was $411

So, option D is ($411) correct .

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In a right triangle, the sum of the squares of the legs is the square of the hypotenuse.

So, you would have

[tex] a^2+b^2=c^2 [/tex]

If you plug the values, you have

[tex] (2\sqrt{3})^2+b^2=(2b)^2 [/tex]

So, you end up with a quadric equation in b:

[tex] 12+b^2=4b^2 \iff 3b^2=12 \iff b^2=4 \iff b=2 [/tex]

So, the three sides are

[tex] a=2\sqrt{3},\ b=2,\ c=4 [/tex]

Answer:

4606.48 $

Step-by-step explanation:

Amount invested P = 3500 $

Rate of interest r = 6.12%

Compounding monthly

Monthly rate of interest = 6.12/12 =0.51%

Time = 4.5 years = 4.5 (12) = 54 months

Hence final amount would be

P(1+0.01r)^t

Here r = 0.51 and t = no of months = 54

Hence final amount

= 3500(1.0051)^54

= 3500(1.31613)

=4606.48 $

Thus 3500 if invested now will become 4606.48 in 4.5 years at the rate of interest of 6.12% compounding monthly.

The answer is 32 Why?

Because since it's getting added by times 2 for every number the number after 16 would be 32 when doing 16 x 2 and since the last number being -16 was negative the number after it would be positive, also if you want it more straight forward the 32 cannot be negative because when you times a negative with a positive you get a positive. Hope this helps!  

Each friend received 10 ounces of pears after Dillion divided the 3 1/3 pound bag among them.

First, we need to convert the weight of the pears from pounds and thirds to decimal form.

To do this, we divide the 3 1/3 pounds by 16 (since there are 16 ounces in a pound):

3 1/3 pounds = 3 * (1 + 1/3) pounds = 3.333 pounds

Now we know that each friend received 3.333 pounds / 5 friends = .6666 pounds of pears. To convert this decimal into something more understandable, multiply it by 16 since there are 16 ounces in a pound:

.6666 pounds * 16 = 10 ounces

So, each friend received 10 ounces of pears.

Each friend received 10 ounces of pears after Dillion divided the 3 1/3 pound bag among them.

First, we need to convert the weight of the pears from pounds and thirds to decimal form.

To do this, we divide the 3 1/3 pounds by 16 (since there are 16 ounces in a pound):

3 1/3 pounds = 3 * (1 + 1/3) pounds = 3.333 pounds

Now we know that each friend received 3.333 pounds / 5 friends = .6666 pounds of pears. To convert this decimal into something more understandable, multiply it by 16 since there are 16 ounces in a pound:

.6666 pounds * 16 = 10 ounces

So, each friend received 10 ounces of pears.