What is the measure of the missing angle?

88°


92°


98°


180°

we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]

To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.

To find out how much of each color to mix, we can set up a proportion.

Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.

We can set up the following equation:

1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons

Cross multiplying gives us:

5x = 1.5(16.25 - x)

Simplifying the equation gives us:

5x = 24.375 - 1.5x

Combining like terms gives us:

6.5x = 24.375

Dividing both sides by 6.5 gives us:

x = 3.75

So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.

Answer:

Step-by-step explanation:

Factor all the factors making up the square root.

108: 2*2*3*3*3

a^7: a*a*a*a*a*a*a

b^5:b * b * b * b * b

The rule for taking a square root of this is

For every pair, you get to take one number outside the root sign and throw the other one away.

2*3*a * a * a* b * b√(3*a * b)

6a^3b^2 * √(3*a*b)

[tex]\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}[/tex]

[tex]\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\[/tex]

[tex]\bf \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]

now, with that template in mind, let's take a look

[tex]\bf \begin{cases} f(x)=&2^x\\ g(x)=&f(x+k)\\ & f(x-5)\\ &2^{x-5} \end{cases}~\hspace{10em}g(x)=2^{\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{-5})}+\stackrel{D}{0} \\\\\\ \textit{horizontal shift by }\cfrac{C}{B}\implies \cfrac{-5}{1}\implies -5\qquad \qquad \textit{ of 5 units to the right}[/tex]

The graph of g(x) is shifted horizontally 5 units to the right of the graph of f(x).

The correct option is (b).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given 2 functions, and we have to find out the shift in the graph.

f(x) = 2^x

g(x) = f(x+k)

When the value of k = -5 we have to find out the shift in the graph of g(x).

For finding out the shift in the graph of g(x):

g(x) = f(x+k)

By substituting the given value of f(x) = 2^x and k = -5:

g(x) = 2^(x-5)

When y = f(x) is changed to y = f(x - 5) the graph of f(x) shifts 5 units to the right horizontally.

Similarly, for g(x) = 2^(x-5) the graph will shift by 5 units to the right.

Hence, The graph of g(x) is shifted horizontally 5 units to the right of the graph of f(x).

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Answer:

jk(x) = -16x^2 -12x+10

Step-by-step explanation:

j(x) = -4x+2

k(x) = 5+4x

jk(x) = (-4x+2) (5+4x)

FOIL

-4x*5 +-4x*4x +2*5 +2*4x

Combine like terms

-20x-16x^2 +10+8x

-16x^2 -12x+10

jk(x) = -16x^2 -12x+10

Answer:

X + Y     and    x+0+(y+0)    are both correct

Step-by-step explanation:

Explanation is on the image  

Option A, x + y and B. x + 0 + (y + 0)

(x + 0) + y + 0 is equivalent to.

equation is the relationship between variable and represented as    is example of polynomial equation.

(x + 0) + y + 0
= x + 0 + (y + 0 )
= x + y

Thus both the option A. and B. is correct.

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Answer:

5

Step-by-step explanation:

he can mow one lawn in 24 min

2 hours=120 min

120÷24=5

Answer:

Step-by-step explanation:

12/5 is the answer.

store a single drink cost $3/12 =25c

store b single drink cost $5.50/ 22 = 25c

store c single drink cost $4.75/18 = 26c

store d single drink cost $8/36 = 22c

hence store d offers the best buy

To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.

To determine which store offers the best buy, we need to compare the prices per can or pack of each store.

Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.

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Bonsoir,

Combien fait 87$ augmenté de 200% ?

87 $ x 200/100 = 174 $ d'augmentation,  

174 + 87 = 261 $

Answer:

20cm

Step-by-step explanation:

Answer:

The correct answer is option 2

45 cm

Step-by-step explanation:

It is given a circle with circumference C = 180 cm

To find the length of arc ABC

From the figure we can see that the central angle of arc ABC = 90°

Therefore the arc length = (90/360) * Circumference

Arc ABC  = (90/360) * 180 = (1/4) * 180 = 45

Therefore arc length = 45 cm

The correct answer is option 2

Answer:

C)  12/5

Step-by-step explanation:

Tan = Opposite / Adjacent

So

Tan(Z) = YX /YZ

Given: YZ = 5 and XZ = 13

so

(YZ)^2 = (XZ)^2   - (YZ)^2

= 13^2 - 5^2

= 169 - 25

= 144

YZ = 12

Tan(Z) = YX /YZ

Tan(Z) = 12/5

Answer:

Step-by-step explanation:

[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]

Answer:

D.

Your doing it for a week..5 days, his cases are 12, but how many cases(c) does he need to sell minus his rent vs what his goal is.

Answer:

The unit rate is 0.11 $/ounce

Step-by-step explanation:

we know that

To find the unit rates divide the total cost by the total volume

so

(6/54)=0.11 $/ounce

Answer:

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

The equation is already simplified to its fullest if we're looking at factored form.

Otherwise, just multiply everything out using a punnett square.

Answer:

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

I just did this one hope this helps

➷ Add 24 to both sides:

x^2 + 10x + 24

Find two values that multiply to make 24 but add to make 10

As you will notice, this is 6 and 4

Now factorize it:

(x + 4)(x + 6)

The values of x would be the opposite of what is in the parenthesis

Therefore x = -4 or x = -6

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

x= -6                    x=-4

Step-by-step explanation:

x2 + 10x = −24

Add 24 to each side

x2 + 10x+24 = −24+24

x2 + 10x +24=0

Factor

(x+6) (x+4) = 0

Using the zero product property

x+6 = 0             x+4 = 0

x+6-6 = 0-6      x+4-4 =0-4

x= -6                    x=-4

Answer:

20 kg

Step-by-step explanation:

If we want any value in grams to be in kilograms, we divide it by 1000

in this example: 20000/1000

=20 kg

Answer:

[tex]\large\boxed{f(-7b)=-35b+10}[/tex]

Step-by-step explanation:

[tex]\text{Put}\ v=-7b\ \text{to the function}\ f(v)=5v+10:\\\\f(-7b)=5(-7b)+10=-35b+10[/tex]

Step-by-step explanation:

the y-axis is the point (-x,y). Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

Answer:

The rule for reflection on the x-axis is (x,y) -> (x,-y)

The rule for reflection on the y-axis is (x,y) -> (-y,y)

Step-by-step explanation:

A reflection is a transformation that represents a turn of a figure. The figures can be reflected in a point, a line, or a plane.

A reflection copies each point of a figure to an image through a fixed line. The fixed line is called the reflection line.

Answer:

9

Step-by-step explanation:

The 4 part of the ratio represents 12 girls

Divide 12 by 4 to find the value of one part of the ratio

[tex]\frac{12}{4}[/tex] = 3 ← value of 1 part of the ratio, hence

Multiply the 3 part of the ratio by 3 to obtain number of boys

3 × 3 = 9 ← number of boys

Answer:9

Step-by-step explanation: it is 3 to 4 so you multiply 4 by 3 you get 12 you multiply 3 by 3 you get 9

4 · x^4 · x^4 · y

4 x^8 y

In words: four times x to the eighth times y

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

[tex]98,000=P(1+\frac{0.041}{12})^{(12)(35)}[/tex]

[tex]98,000=P(1+0.003416)^{(420)}[/tex]

[tex]98,000=P(1.003416)^{(420)}[/tex]

98,000 = P(4.189386)

= 4.189386P = 98,000

P = [tex]\frac{98000}{4.189386}[/tex]

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

Answer:

$23,392

Step-by-step explanation:

Use the compound interest formula and substitute the values given: $98,000=P(1+.041/12)[tex]^{12(35)}[/tex]

Simplify using order of operations:

$98,000=P(1.003416667)[tex]^{420}[/tex]

P=$98,000(1.003416667)[tex]^{420}[/tex]

P≈$23,392

Answer:

20 + 8 + 0.1 + 0.09

Step-by-step explanation:

Answer:

20 + 8 + 0.1 + 0.09

20 wholes +8 wholes =28 then...

.1 tenth+.09 hundereths=.19 add..

28+.19=.  28.19

Answer:

Each side is 25cm long.

Step-by-step explanation:

75/3=25 (This is because each side of an equilateral triangle is equal to each other.) (The perimeter is all sides added together.)

Answer:

equilateral traingle mean all sides are equal..so 75÷3

=25cm

Step-by-step explanation:

its equal....so we just simply just divide..

Answer: 113.1

Step-by-step explanation:

first you have to multiply 4/3*pie or 3.14 times 3

4/3 x 3.14 x 3 = 113.1

Put the answer into a calculator;

-√17 = -4.123105626

√17 = 4.123105626

Round to the nearest tenth by looking at the 2nd digit after the decimal point. If it is 5 or greater, round up, otherwise round down.

-√17 = 4.123105626

2 is less than 5, so we leave it as it is.

-√17  ≈ -4.12

√17 = 4.123105626

2 is less than 5, so we leave it as it is.

√17 = 4.12

v ≈ -4.12, 4.12

QUESTION 1

The given expression is

2+8

The greatest common factor of 2 and 8 is 2.

We can rewrite as: [tex]2+8=2\times1+2\times4[/tex]

Factor to get: [tex]2+8=2(1+4)[/tex]

QUESTION 2

Given: 9-3

Greatest common factor of 9 and 3 is 3.

Rewrite as: [tex]9-3=3\times3-3\times1[/tex]

Factor: [tex]9-3=3(3-1)[/tex]

QUESTION 3

Given: 30+25

Greatest common factor of 30 and 25 is 5.

Rewrite as: [tex]30+25=5\times6+5\times4[/tex]

Factor: [tex]30+25=5(6+4))[/tex]

QUESTION 4.

Given: 35-14

The greatest common factor of 35 and 14 is 7.

Rewrite as:  [tex]35-14=5\times7-2\times7[/tex]

Factor:  [tex]35-14=7(5-2)[/tex]

QUESTION 5

The given expression is 81-18.

The greatest common factor of 81 and 18 is 9.

Rewrite as: [tex]81-18=9\times9-9\times2[/tex]

Factor: [tex]81-18=9(9-2)[/tex]

QUESTION 6

Given: 60+100

The greatest common factor of 60 and 100 is 20.

Rewrite as : [tex]60+100=20\times3+20\times5[/tex]

Factor: [tex]60+100=20(3+5)[/tex]

QUESTION 7

Given: 28-20

The greatest common factor of 28 and 20 is 4.

Rewrite as: [tex]28-20=4\times7-4\times5[/tex]

Factor: [tex]28-20=4(7-5)[/tex]

QUESTION 8

Given: 72+48

The greatest common factor of 72 and 48 is 24.

Rewrite as: [tex]72+48=24\times3+24\times2[/tex]

Factor: [tex]72+48=24(3+2)[/tex]

QUESTION 9

The given expression is [tex]12x+18[/tex].

The greatest common factor of [tex]12x[/tex] and 18 is 6.

Rewrite as; [tex]12x+18=6\times2x+6\times3[/tex]

Factor; [tex]12x+18=6(2x+3)[/tex]

QUESTION 10

Given: [tex]4y+10[/tex]

The greatest common factor of [tex]4y[/tex] and 10 is 2.

Rewrite the expression as; [tex]4y+10=2\times2y+2\times5[/tex]

Factor:  [tex]4y+10=2(2y+5)[/tex]

Answer:

The answer is D. 4r^6.

<3

-Callie

Step-by-step explanation:

Answer:

D. 4r^6.

Step-by-step explanation:

Answer:

100 $

Step-by-step explanation:

Hello

If

300 $ ----> 3 days

X -----------> 1 day

X = [300*1] / (3)

X = 100 $

Best regards