Which statement is true about the extreme value of the given quadratic equation.

y=-3x^2+12x-33

The total number of cups of punch that can be made is: 8 Cups

Proportion is defined a mathematical comparison between two numbers.

Now, we are given that:

Percentage of Ginger Ale = 35%

Percentage of Orange Juice = 25%

Percentage of Pineapple Juice = 25%

Percentage of Sorbet = 15%

We are told that there are 2 cups of Pineapple Juice. Thus:

(25/100) * x = 2

x = 200/25

x = 8 cups

Thus, this represents the total number of cups of punch that can be made.

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9514 1404 393

Answer:

  1) ΔCBA ~ ΔCQR

  2) ΔCDE ~ ΔCTS

Step-by-step explanation:

In both cases, the vertical angles at C are congruent. The marking shows an additional internal angle is congruent, so the triangles are similar by the AA similarity postulate.

The vertex at C is named first, followed by the marked angle in each of the given similarity statements. The same order must be used for the vertices in the similar triangle.

  1) ΔCBA ~ ΔCQR

  2) ΔCDE ~ ΔCTS

The volume of the smaller prism is 37.8 in³. The result is obtained by using the ratio of corresponding volumes of two similar prisms.

When two similar prisms or pyramids have a scale factor of L, the ratio of corresponding areas is L² and the ratio of corresponding volumes is L³.

The scale factor of two similar triangles prisms is 3 : 5. The volume of the larger prism is 175 in³. Find the volume of the smaller prism!

We have L = 3 : 5.

The ratio of corresponding volumes is

= L³

= (3/5)³

= 27/125

The smaller prism is

= (27/125) × 175 in³

= (27/5) × 7 in³

= 37.8 in³

Hence, the volume of the smaller triangles prisms is 37.8 in³.

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The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

9514 1404 393

Explanation:

  a < b . . . . . given

  0 < b -a . . . . . addition property of inequality

  c < d . . . . . given

  0 < d - c . . . . . addition property of inequality

  0 < (b -a) +(d -c) . . . . addition is closed for positive real numbers

  a +c < b +d . . . . . addition property of inequality

Answer:

hello hope this pic helps

Answer:

1000 cm^3

Step-by-step explanation:

20 x 5 x 10 =

100 x 10 =

1000

Answer:

The volume is 1000 cm^3

Step-by-step explanation:

first off the formula is V=L*W*H

so in order to solve you need to plug in the numbers

L=10

W=20

H=5

Now you plug it in

V=(10)(20)(5)

V=1000

Answer:

4/3

Step-by-step explanation:

If you count, because the coordinates are smaller, you will know that the y-coordinate moves up 4 spaces, and the x-coordinate moves to the right 3 spaces.

Answer:

6cm,20cm,80cm,1m,1m,1.15m,132cm

Step-by-step explanation:

Hence,1 m=100 cm

Step-by-step explanation:

as the usual you can see that cd is multiplication and the square is subtracted so let's get it

=cd-c^2

=5*8-5^2

As Bodmas rule We will solve as the rule Fisrt

Bracket, object, Division ,multiplication, addistion and subtraction so

= 40-25

=15

Thanks in Advance

Nahom Wondale

Answer:

\(f(x) = 5x +3\)

Step-by-step explanation:

If you let \(y\) be the function, \(f(x)\), then:

\(y = 5x +3 \\ f(x) = 5x +3\)

Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).

After, omit step 5 and jump straight to 6.

After this, step 6 is the statement that used to be step 5, which is true by CPCTC.

Then, you can prove the required statement by definition from this.

To find the coefficient of x² in the expansion of (1-4x+x²/2)⁴, we can use the expansion of (2-p)⁴ and substitute p with (1-4x+x²/2).

The expansion of (2-p)⁴ is given by 1 - 8p + 24p² - 32p³ + 16p⁴. We can substitute p with (1-4x+x²/2) to get the expansion of (1-4x+x²/2)⁴. By replacing p with (1-4x+x²/2) in each term of the expansion, we obtain the following expression:

1 - 8(1-4x+x²/2) + 24(1-4x+x²/2)² - 32(1-4x+x²/2)³ + 16(1-4x+x²/2)⁴.

To find the coefficient of x², we need to identify the term that contains x². In this case, the term containing x² is 24(1-4x+x²/2)². Expanding this term further, we get: 24(1-8x+8x²/2-16x²+16x³/2+x⁴/4).

Simplifying this expression, we obtain: 24 - 192x + 96x² - 96x³ + 12x⁴.

Therefore, the coefficient of x² in the expansion of (1-4x+x²/2)⁴ is 96.

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Answer:

d

Step-by-step explanation:

i think i helped. have a nice day

Answer:

The answer is ( -1 , 3 ) in point form and in eqaution form it is x = -1 , y = 3

Answer:

2. -1, -7, -19, -43, -91, -187,...

Step-by-step explanation:

\( \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ \)

Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...

Answer:

w=-L+1/2p

Step-by-step explanation:

HoPE THIS HELPS!

have a nice day and leave brainliest if possible pls

Answer:

0.

¯¯¯¯¯¯¯¯¯¯¯¯

571428

…

…

angles per times

Step-by-step explanation:

Answer:

40° and 140°

Step-by-step explanation:

let one angle be x then the other is 3.5x

A linear pair sum to 180° , then

x + 3.5x = 180

4.5x = 180 ( divide both sides by 4.5 )

x = 40 and 3.5x = 3.5 × 40 = 140

The angles are 40° and 140°

The requried function among the expressions is y = 4x - 19. Option A is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the question,

We have given four expressions, there is only an equation that represents a function y = 4x - 19.

Thus, the requried function among the expressions is y = 4x - 19. Option A is correct.

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Answer:

156000000

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

f(x) = 2x + 5 , then difference quotient is

\(\frac{2(x+h)+5-(2x+5)}{h}\)

= \(\frac{2x+2h+5-2x-5}{h}\)

= \(\frac{2h}{h}\)

= 2

(b)

f(x) = 3x² + x , then difference quotient is

\(\frac{3(x+h)^2+(x+h)-(3x^2+x)}{h}\)

= \(\frac{3(x^2+2hx+h^2+x+h-3x^2-x}{h}\)

= \(\frac{3x^2+6hx+3h^2+x+h-3x^2-x}{h}\)

= \(\frac{6hx+3h^2+h}{h}\)

= \(\frac{h(6x+3h+1)}{h}\)

= 6x+3h+1

We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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The surface area of the composite figure is 217.28yd²

The volume of the composite figure is 141.12yd³

A composite figure can be defines as a shape created with two or more basic shapes.

The composite figure consist of a triangular prism and cuboid

The surface area of the cuboid =2(lh+lb+bh)

= 2 ( 4.8×2.8 + 8× 2.8 + 4.8×8)

= 2( 13.44+22.40+38.4)

= 2(74.24)

= 148.48yd²

The surface area of the prism = 2B+ph

Base area = 1/2 × 3×8 = 12

The perimeter = 3+8+5 = 16

SA = 2×12+ 16×2.8

SA = 24+44.8

SA = 68.8yd²

the surface area of the composite figure = 148.48+68.8 = 217.28yd²

The volume of the cuboid = 4.8× 2.8 × 8 = 107.52yd³

Volume of the prism = base area × height = 12×2.8 = 33.6yd³

Therefore the volume of composite figure= 107.52+33.6 = 141.12 yd³

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a]Cannot occur due to violation of baryon number conservation, b] Can occur,  c] Can occur, d] Can occur but violates lepton number conservation, e] Can occur and f] Cannot o cur due to violation of charge and baryon number conservations.

The answer are as follows-  a) This reaction can occur as it conserves charge, baryon number, and lepton number.

b) This reaction cannot occur as it violates conservation of charge. The right side has one more positive charge than the left side.

c) This reaction cannot occur as it violates conservation of charge. The left side has zero charge while the right side has one positive charge.

d) This reaction can occur as it conserves charge and lepton number. However, it violates conservation of baryon number as the left side has a baryon number of one while the right side has a baryon number of zero.

e) This reaction can occur as it conserves charge, lepton number, and baryon number.

f) This reaction cannot occur as it violates conservation of charge. The left side has a positive charge while the right side has a neutral charge.

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If the p-value obtained from the paired t-test is less than the predetermined level of significance (usually 0.05), then it can be concluded that there is a statistically significant difference between the two treatments, and that imitrex is more effective than excedrin at eliminating migraines.

To determine if Imitrex works better than Excedrin at eliminating migraines in your study, the most appropriate statistical test to use is the Paired Samples t-test.

This test is suitable because:
We have two related samples: the same 25 women are given both Excedrin and Imitrex, so their response times are paired.
We're comparing the mean response times between two treatments, which requires a t-test.

The data is assumed to be normally distributed.
To conduct the Paired Samples t-test, follow these steps:
Calculate the difference in response times for each woman (Imitrex time - Excedrin time).

Calculate the mean of these differences.

Calculate the standard deviation of the differences.

Determine the degrees of freedom (25 women - 1 = 24).

Using the mean, standard deviation, and degrees of freedom, calculate the t-statistic.
Compare the t-statistic to the critical value from the t-distribution table, using your chosen significance level (e.g., 0.05).
If the t-statistic is greater than the critical value, reject the null hypothesis, concluding that there's a significant difference between the effectiveness of Imitrex and Excedrin for migraine relief.

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To determine if Imitrex works better than Excedrin, the most appropriate statistical test to use would be a "paired t-test."

We are comparing the efficacy of Imitrex and Excedrin for Migraine in the same group of 25 women, with each woman acting as her own control. You are measuring the time it takes for the headache to subside after administering each drug. To determine if Imitrex works better than Excedrin, the most appropriate statistical test to use would be a "paired t-test."

Step-by-step explanation:

1. Record the time it takes for the headache to subside after administering Excedrin and Imitrex to each woman.
2. Calculate the difference in time for each woman between the two drugs.
3. Compute the mean and standard deviation of these differences.
4. Perform a paired t-test to compare the mean difference to 0 (no difference between the two drugs).
5. Assess the p-value obtained from the t-test. If the p-value is less than the significance level (usually 0.05), then you can conclude that there is a statistically significant difference between the two drugs, suggesting that Imitrex works better than Excedrin in eliminating migraines.

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Answer:

19b >= 53

Step-by-step explanation:

The total number of cubic feet should be more than 53. You cant have less sand so it is greater then or equal to 53, instead of less than or equal to.

Answer:

$412.50

Step-by-step explanation:

15% of 2750 = 0.15 × 2750 = 412.5

Using the theories of quantitative​ variables, we got that Graphical display is the first thing that should be​ done when we are analyzing two quantitative​ variables.

Comparing the Two Quantitative Variables As we did when considering only one variable, we begin with the graphical display. A scatterplot is the most useful display technique for comparing the two quantitative variables. We plot on the y-axis the variable we consider for the response variable and on the x-axis we place the explanatory or the predictor variable.

Hence, When analyzing two quantitative​ variables,  the first thing that should be​ done is Graphical display.

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