Solve for t. -7/4 = 2/5t

Answer:

the function has two real roots and crosses the x axis in two places.

Step-by-step explanation:

Using the general quadratic formula;

[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

for a quadratic equation

[tex]ax^2 +bx+c=0[/tex]

given the quadratic function below;

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

the roots of the equation can be calculated by applying the quadratic formula.

[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]

Therefore, the function has two real roots and crosses the x axis in two places.

Attached is the graph of G(x) for more understanding.

Answer:

He needs just 13 pages

That is round up to not more than 20 pages will be the smallest

Step-by-step explanation:

Vincent wants to put 75 photograph in an album.

And a full page holds 6 photo graphs.

If 6 photographes is one page

Then 75 photographes =( 75*1)/6

75 photographes = 75/6

75 photographes= 12.5

12.5 pages will hold 75 photographes but nothing like 12.5 pages.

To the nearest page = 13 pages

Answer:

[tex]Vol=883.6875\,\, cm^3\\[/tex]

Step-by-step explanation:

Recall that the volume of a whole sphere is given by the formula:

[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]

then, the volume of a semi-sphere would be half of the formula above:

[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]

Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.

which makes our calculation:

[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]

Answer:

0.667

Step-by-step explanation:

According to Bayes theorem:

Since there are three cards, the probability that the side is green = 1/3

For the first card, if one side is green, the probability that the other side is also green = 1 (both sides are green)

For the second card, if one side is green, the probability that the other side is also green = 0 (both sides are red)

For the third card, if one side is green, the probability that the other side is also green = 1/2 (one side is green and the other side is red)

[tex]P(G_k/A)=\frac{P(G_k)P(A/G_k)}{\Sigma_{i=1\ to\ m} P(G_i)P(A/G_i)} \\P(B_1/A)=\frac{P(G_1)P(A/G_1)}{P(G_1)P(A/G_1)+P(G_2)P(A/B_2)+P(G_3)P(A/G_3)}\\ P(B_1/A)=\frac{1/3*1}{(1/3*1)+(1/3*0)+(1/3*1/2)=\frac{1/3}{1/2} }=0.667[/tex]

Answer:

x=-20 or x=80

Step-by-step explanation:

you can either make it so 46 remains the largest number and so take 66 from 46 (=-20) or you can leave 14 as the smallest number and add 66 to 14(=80)

Answer:

The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"

Step-by-step explanation:

Given:

2520

Prime factor=?

Prime factor of 2520 is:

[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]

Answer:

Figure D does not have line of symmetry

Answer:

You are correct, it is D

Step-by-step explanation:

Answer:

[tex]Area = 336\ m^2[/tex]

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

[tex]P = 13x + 14x + 15x = 84[/tex]

[tex]42x = 84[/tex]

[tex]x = 2[/tex]

The length of each side is:

[tex]13x = 26\ m[/tex]

[tex]14x = 28\ m[/tex]

[tex]15x = 30\ m[/tex]

Now, to find the area of the field, we can use the following formula:

[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where a, b and c are the sides and p is the semi perimeter:

[tex]p = P/2 = 42\ m[/tex]

So we have that:

[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]

[tex]Area = 336\ m^2[/tex]

Answer:

Volume of cone = 37.7m^3

Answer:

[tex]62.4$ cm^2[/tex]

Step-by-step explanation:

The net of the triangular pyramid is attached below.

Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .

In the equilateral triangles

Therefore, the surface area of the pyramid formed from the net shown

= 4 X Area of One Triangular Face

[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]

Answer:

2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(10-2) / (3-(-1))

8/(3+1)

8/4

2

Answer:

2

Step-by-step explanation:

(x¹, y¹) (x², y²) = (-1,2) (3,10)

Slope = (y²-y¹) ÷ (x²-x¹)

= (10 - 2) ÷ (3 -(-1))

= 8 ÷ 4

= 2

Answer:

4 is the answer to your question

Step-by-step explanation:

Answer:

Brian: 22

Charlie: 88

Latoya: 14

Step-by-step explanation:

Set up an equation where b represents the number of messages Brian sent:

4b will represent Charlie because he sent 4 times more texts than Brian did

(b - 8) represents Latoya because they sent 8 less texts than Brian:

b + 4b + (b - 8) = 124

Add like terms:

6b - 8 = 124

6b = 132

b = 22

Now, we can plug in 22 as b to find Charlie and Latoya's number of texts:

4b = 4(22) = 88

b - 8 = 22 - 8 = 14

Answer:

1st one

Step-by-step explanation:

I don't do explanations just answer it mate.

Answer:

hi! your answer should be C. CA ≈ EC

Step-by-step explanation:

"C." just makes the most sense. CA and EC are equal lengths. A, B, and D are not equal. So it has to be C. Hope this helps :)

Answer:  A,B,D,C

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

Assuming x is the number of years, we have to calculate each equation for x =1:

A = 110 (0.70)^X = 110 (0.70)^1= 77

B = 140 (1.07)^X= 140 (1.07)^1 = 149.8

C =430 (1.90)^x=430 (1.90)^1= 817

D = 310 (1.14)^x= 310 (1.14)^1= 353.4

Comparing the sales:

77(A) < 149.8 (B) <353.4 (D) < 817(C)

So, the correct option is:

A,B,D,C

Step-by-step explanation:

5.[tex]N^{2}[/tex]=5.3^2.5^4.x^6=3^2.5^5.x^6

Answer:

              [tex]5N^2=3^2\times5^2\times x^6[/tex]

Step-by-step explanation:

N=3×5²×x³

Then:

[tex]5N^2=5(3\cdot5^2\cdot x^3)^2=5\cdot3^2\cdot5^{2\cdot2}\cdot x^{3\cdot2}= 5\cdot3^2\cdot5^{4}\cdot x^6=5^{1+4}\cdot3^2\cdot x^6=5^5\cdot3^2\cdot x^6[/tex]

Answer:

20 cm^2.

Step-by-step explanation:

If the scale factor is 2 each of the sides of the figure will be increased by a factor 2.

So each side will have a length of 2 * 1 = 2 centimeters.

It will consist of 5 squares of dimension 2*2 =  an area of 4 cm^2

So the area of the new cross  is 5*4 = 20 cm^2.

We can also calculate the area directly by multiplying  by 2^2 ( the scale factor)squared.)

The original area = 5 so the area of the enlarged figure = 5 * 2^2 = 20 cm^2.

Answer: 0.5

Step-by-step explanation:

Given Data:

No of toss = 30

Relative frequency of heads = 0.47

What would be the relative frequency after 60 toss.

Therefore,

Since a penny has two sides, which are the head and tail.

No of head in 60 trials = 30

No of tail in 60 trials = 30

Relative frequency after 60 trials

= 30 / 60

= 1 / 3

= 0.5

Answer:

5.5

Step-by-step explanation:

Picture Proof

Answer: 5.5 : ) ~ Hope you have a great day!

Answer:

3

Step-by-step explanation:

The shape is a triangular prism.

The volume of a triangular prism is the area of cross section times length.

Area of cross section is the area of a triangle.

15 × x × 1/2

15/2x

The length is 8 cm.

15/2x × 8

120/2x

The volume is given.

120/2x = 180

60x = 180

x = 180/60

x = 3

Answer:

y = 10x-37

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 10x+b

Substitute the point into the equation

3 = 10*4+b

3 = 40+b

Subtract 40

3-40 = 40+b-40

-37 = b

y = 10x-37

Answer: y = 10x - 37

Step-by-step explanation:

Hope it helps <3

Answer:

Step-by-step explanation:

The required value of y = 192°.

In a circle angle angle of arc x =168°. Angle of arc y is to be determine.

The angle can be defined as line inclined over other line by certain measure called angle.

Here, a circle has angle= 360°
x +y =360°
y = 360°-x
y = 360°-168°
y = 192°

Thus, the required value of y = 192°.

Learn more about Angles here:
https://brainly.com/question/13954458

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Answer:

Step-by-step explanation:

Confidence interval for population proportion is expressed as

(Sample proportion ± margin of error). Thus, the sample proportion is used to estimate the population proportion. The confidence interval has lower bound and upper bound values. It does not tell probability but how confident we are. Therefore, a statement that correctly interprets the confidence interval is

C. One has 99​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Answer:

Rs216.98

Step-by-step explanation:

If Rs230 is including the 6% tax then 230 = 106%

230 / 106 = 1% = 2.1698

2.1698 X 100 = 100% = 216.98

The original price of a packet of biscuits will be Rs216.98.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.

The original price will be calculated as below:-

If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-

230 = 106%

Then 1 percent will be equal to the ratio of 230 and 106 as below,

1% = 230 / 106= 2.1698

Divide 230 by 106 and to calculate the original price multiply by 100.

2.1698 X 100 = 100% = Rs216.98

Therefore, the original price of a packet of biscuits will be Rs216.98.

To know more about percentages follow

https://brainly.com/question/24304697

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Answer:

37.57 + 1.95x

Step-by-step explanation:

The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.

I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.

Have a great day, and best of luck for your math problem!

Answer:

34

Step-by-step explanation:

A = (0, -7)

A' = (0, -14)

B = (8, 8)

B' = (16, 16)

Distance formula = [tex]\sqrt{({x_{2}- x_{1}})^{2} + ({y_{2}- y_{1}})^{2}}[/tex]

= [tex]\sqrt{16^{2} + 30^2}[/tex]

= [tex]\sqrt{1156}[/tex]

= 34

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}+\frac{1}{8}=\boxed{\frac{4}{8}}[/tex]

If the answer is not  [tex]\frac{4}{8}[/tex]  then it's probably because that it's not in the simplest form.

[tex]\frac{4}{8} =\frac{4/4}{8/4}=\frac{1}{2}[/tex]

The answer would be a half cup total.

Brainilest Appreciated.

Answer:

The answer is 1/2

Step-by-step explanation:

Percentage is 50%

Dec. Is 0.50

Remeber to fond the GCF and divide both sides by it:

4/8 = the GCF is 4 so 4/4 is 1 , 8/4 is 2

=1/2.

Answer:

x = 12

m(∠B) = 45°

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.

Angles A and B are the "Alternate exterior angles" which will equal in measure.

m(∠A) = m(∠B)

(5x - 15) = (2x + 21)

5x - 2x = 15 + 21

3x = 36

x = 12

Since, m(∠B) = (2x + 21)

                     = (2×12) + 21

                     = 24 + 21

                     = 45°

Therefore, x = 12 and measure of angle B will be 45°.

x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..

please mark it as brainliest ❤️❤️ and follow me..

Answer:

x=5 is the answer

Step-by-step explanation:

hope this helped